From 3e6f07a8497f8ab68f3597c55dff42b79ad573f3 Mon Sep 17 00:00:00 2001 From: allaun Date: Tue, 23 Jun 2026 05:49:58 -0500 Subject: [PATCH] fix: address adversarial review critical issues 1. Removed 24MB generated graph files (SVG, JSON, DOT) from git 2. Removed .openclaw/ temp directory (672KB binary images) from git 3. Updated .gitignore to prevent re-committing generated artifacts 4. Fixed CITATION.cff header (proper metadata, message references SilverSight) Repo size reduction: ~25MB removed from git history. Remaining issues: - 2 files still import Semantics.FixedPoint (cross-project dependency) - 37 sorries in PVGS_DQ_Bridge - 5 duplicate Q16_16 definitions - 22 Lean files not in lakefile --- .gitignore | 11 + .openclaw/tmp/surface/epigenetic.png | Bin 66307 -> 0 bytes .../tmp/surface/epigenetic_derivation.png | Bin 89309 -> 0 bytes .openclaw/tmp/surface/epigenetic_final.png | Bin 62290 -> 0 bytes .openclaw/tmp/surface/freeze_analysis.png | Bin 72734 -> 0 bytes .openclaw/tmp/surface/freeze_point.png | Bin 45817 -> 0 bytes .openclaw/tmp/surface/hachimoji_1920x1080.png | Bin 54590 -> 0 bytes .openclaw/tmp/surface/hachimoji_solved.png | Bin 43440 -> 0 bytes .openclaw/tmp/surface/hachimoji_surface.bmp | Bin 246 -> 0 bytes .openclaw/tmp/surface/hachimoji_surface.ppm | 4 - .../tmp/surface/hachimoji_surface_32x32.bmp | Bin 3126 -> 0 bytes .openclaw/tmp/surface/ising_mid.bmp | Bin 246 -> 0 bytes .openclaw/tmp/surface/ising_mid_64x64.bmp | Bin 12342 -> 0 bytes .openclaw/tmp/surface/ising_optimal.bmp | Bin 246 -> 0 bytes .openclaw/tmp/surface/ising_optimal_64x64.bmp | Bin 12342 -> 0 bytes .openclaw/tmp/surface/ising_worst.bmp | Bin 246 -> 0 bytes .openclaw/tmp/surface/ising_worst_64x64.bmp | Bin 12342 -> 0 bytes .openclaw/tmp/surface/rederivation.png | Bin 69518 -> 0 bytes .openclaw/tmp/surface/uncomputability.png | Bin 91079 -> 0 bytes CITATION.cff | 12 +- docs/research_stack_usage_graph.dot | 27213 -- docs/research_stack_usage_graph.json | 157219 ------------ docs/research_stack_usage_graph.svg | 190512 --------------- 23 files changed, 22 insertions(+), 374949 deletions(-) delete mode 100644 .openclaw/tmp/surface/epigenetic.png delete mode 100644 .openclaw/tmp/surface/epigenetic_derivation.png delete mode 100644 .openclaw/tmp/surface/epigenetic_final.png delete mode 100644 .openclaw/tmp/surface/freeze_analysis.png delete mode 100644 .openclaw/tmp/surface/freeze_point.png delete mode 100644 .openclaw/tmp/surface/hachimoji_1920x1080.png delete mode 100644 .openclaw/tmp/surface/hachimoji_solved.png delete mode 100644 .openclaw/tmp/surface/hachimoji_surface.bmp delete mode 100644 .openclaw/tmp/surface/hachimoji_surface.ppm delete mode 100644 .openclaw/tmp/surface/hachimoji_surface_32x32.bmp delete mode 100644 .openclaw/tmp/surface/ising_mid.bmp delete mode 100644 .openclaw/tmp/surface/ising_mid_64x64.bmp delete mode 100644 .openclaw/tmp/surface/ising_optimal.bmp delete mode 100644 .openclaw/tmp/surface/ising_optimal_64x64.bmp delete mode 100644 .openclaw/tmp/surface/ising_worst.bmp delete mode 100644 .openclaw/tmp/surface/ising_worst_64x64.bmp delete mode 100644 .openclaw/tmp/surface/rederivation.png delete mode 100644 .openclaw/tmp/surface/uncomputability.png delete mode 100644 docs/research_stack_usage_graph.dot delete mode 100644 docs/research_stack_usage_graph.json delete mode 100644 docs/research_stack_usage_graph.svg diff --git a/.gitignore b/.gitignore index 2e9afae6..9a5bead5 100644 --- a/.gitignore +++ b/.gitignore @@ -12,3 +12,14 @@ venv/ .venv*/ .pytest_cache/ .lake/ + +# Generated artifacts +.openclaw/ +docs/research_stack_usage_graph.* +docs/concept_map/*.jsonl +*.svg +*.bmp +*.ppm +*.png +extraction/ +scratch/ diff --git a/.openclaw/tmp/surface/epigenetic.png b/.openclaw/tmp/surface/epigenetic.png deleted file mode 100644 index c044f20cd713b4de6b7071365487f63ea0e26b39..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 66307 zcmdR$by!r}*Z7C-5~Lder9)!q5(5DdMLMLVyBh|SQb9UJ0WUSu%@EQhH8g{y48kZ< zQooJ&tMB{%_xt_xd!F|^_qoiSd*+<8*IsMwwbuTu^ZbF` zhCk$39^cTax^J8=Kv2C3fS*5rV|Mw3Y+I+|geUDPgy5f~{`{WwlGKgK~q%@)n+MA!Oc-KqED$bgv>r)QJ)Ctxnf~2y@uxF(d)WmaVeZ zaN7IvWA<$P-L-r7!u6`;lTH#tFfF@S^Imi#3PvZBIr3_^=f(q$tqZjY(iE~&O|gqh zS2G+o=NWPnl_TnZ+&lPIVk=M%l{*nYn)JL+&2e-tL2b`Mr)dSZtQ^$qzjx1aN%Qg1 z%g+WG8dJx-csj)BT;I+*I#c5jmSz9w(M0V%E%F+fTD?NbzUY{}UM{%<{raEpSmor_q zR!86B0cF+IcKd0U?Y`Fm9uO|s{d0XIH&E?x^YiSr?C~!dh`kYUkM+J#n|tMZjz)PR zM$jic8O`5$x!>okMtu6ZkV(d5HziQoT3KaK8`q_l`hi>&w;D_E&j{R|-FN0$I%H-xHQJ~mpVhXQAY0bAw`U1#uo9y~ zPI1haTJwyOhDkQ`2Y(vY$Q-A^buO}f>Ni+rysKUAXVMLqXGhe0WOZ^h&g34pcjI}W zqa3U-qPTnIx41j(*BWKo)oD2WkkYSS(a?<6xs2+y|04d_U+z&(X7|TRUa@m#$b>a= zaxuu#nvY$ZDwj9NN$v4zBN4H{W~D&<+OLVmEV`3;Y)t9x9dBcql-yFAP|$FghUZHj zE%@xMCe=iZ$aOaR)iAx%Et)bdHPP^wQSz5TPf7R++)kKaEtGR&3=YY*!Y4KV{`Bcn zE$67Y*PhmO~19+mzCv&iz+_hrG!&Z744h*kQH*By5DA^*1@x;<`h&;Tu)*ROu zZFh_p{WezZnU)W)K7Es|ium~OkBB+lwcxB(=G&(!Z$7$mK%oLg>P_A?+)AlJtE(@Q z!1PYGu9WNY>Xov~W?q~|zk4?uI;@&vQX*(JJm->II$neBqoyCkp$)ywnqM4K<6ux7 zQ|p8!)RuLXzqilg6S0hE@pu6`%1MBl=YjFyY>nLhMBg)Yu|!2JH_?h__a8b>jb3v! zN>(^kbch%F3^7iXS|CDYG_%IP+(#78m$Ni^Pqx;K?58i8lUP-fbm}%P-))d=E{g%HKb!sLB|-(Nrv%H`0T59pR#o7?DoS5?a+KS>X3fm)7TTae

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"Semantics.AgenticOrchestration" -> "Semantics.AgenticOrchestration.send" [label="contains"]; - "Semantics.AgenticOrchestration" -> "Semantics.AgenticOrchestration.receive" [label="contains"]; - "Semantics.AgenticOrchestration" -> "Semantics.AgenticOrchestration.deliver" [label="contains"]; - "Semantics.AgenticOrchestration" -> "Semantics.AgenticOrchestration.flushOutbox" [label="contains"]; - "Semantics.AgenticOrchestration" -> "Semantics.AgenticOrchestration.inboxSize" [label="contains"]; - "Semantics.AgenticOrchestration" -> "Semantics.AgenticOrchestration.empty" [label="contains"]; - "Semantics.AgenticOrchestration" -> "Semantics.AgenticOrchestration.registerMailbox" [label="contains"]; - "Semantics.AgenticOrchestration" -> "Semantics.AgenticOrchestration.findMailbox" [label="contains"]; - "Semantics.AgenticOrchestration" -> "Semantics.AgenticOrchestration.updateMailbox" [label="contains"]; - "Semantics.AgenticOrchestration" -> "Semantics.AgenticOrchestration.deliveryCycle" 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"Semantics.BaselineComparison" -> "Semantics.BaselineComparison.countAgrees" [label="contains"]; - "Semantics.BaselineComparison" -> "Semantics.BaselineComparison.countDisagrees" [label="contains"]; - "Semantics.BaselineComparison" -> "Semantics.BaselineComparison.countNoPrediction" [label="contains"]; - "Semantics.BaselineComparison" -> "Semantics.BaselineComparison.totalClassified" [label="contains"]; - "Semantics.BaselineComparison" -> "Semantics.BaselineComparison.BaselineRelation" [label="contains"]; - "Semantics.BaselineComparison" -> "Semantics.BaselineComparison.p01StandardPhysics" [label="contains"]; - "Semantics.BaselineComparison" -> "Semantics.BaselineComparison.p01Relation" [label="contains"]; - "Semantics.BaselineComparison" -> "Semantics.BaselineComparison.p02StandardPhysics" [label="contains"]; - "Semantics.BaselineComparison" -> "Semantics.BaselineComparison.p02Relation" [label="contains"]; - "Semantics.BaselineComparison" -> 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"Semantics.BaselineComparison" -> "Semantics.BaselineComparison.p08StandardPhysics" [label="contains"]; - "Semantics.BaselineComparison" -> "Semantics.BaselineComparison.p08Relation" [label="contains"]; - "Semantics.BaselineComparison" -> "Semantics.BaselineComparison.p09StandardPhysics" [label="contains"]; - "Semantics.BaselineComparison" -> "Semantics.BaselineComparison.p09Relation" [label="contains"]; - "Semantics.BaselineComparison" -> "Semantics.BaselineComparison.p10StandardPhysics" [label="contains"]; - "Semantics.Basic" -> "Semantics.Basic.computeBasicChristoffel" [label="contains"]; - "Semantics.Basic" -> "Semantics.Basic.basicCos" [label="contains"]; - "Semantics.Basic" -> "Semantics.Basic.computeBasicFrustration" [label="contains"]; - "Semantics.Basic" -> "Semantics.Basic.computeBasicLockingEnergy" [label="contains"]; - "Semantics.Basic" -> "Semantics.Basic.updateBasicStateFromGeometry" [label="contains"]; - "Semantics.Basic" -> 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"Semantics.BraidDiatCodec.fromQRState_rData_length_test_2_2_1" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.foldl_append_size" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.fromQRState_reflectionData_length" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.fromQRState_rData_length" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.encode_decode_roundtrip" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.decode_encode_roundtrip" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.qr_encode_decode_roundtrip" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.maxOffset" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.encode" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.decode" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.fromMountain" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.toMountain" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.encodeQ02" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.decodeQ02" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.fromBracket" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.toBracket" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.isQ02Range" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.fromQRState" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.fromQRNode" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.empty" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.testQR_2_2_1" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.testQR_2_2_2" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.isValid" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.encode" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.decode" [label="contains"]; - "Semantics.BraidDiatCodec" -> "Semantics.BraidDiatCodec.estimatedBytes" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.eigensolid_convergence" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.encodeReceipt_residuals_length" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.encodeReceipt_step_count" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.encodeReceipt_residuals_def" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.encodeReceipt_residual_at" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.encodeReceipt_crossing_matrix_eq" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.receipt_invertible" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.IsTopologicallyTrivial_iff" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.add_eq_left_of_non_saturated" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.crossPartner_involutive" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.eigensolid_trivial" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.inZeroGenusLayer_iff" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.jsrr_residue_fixed" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.jsrr_profile_fixed" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.kkt_block_bounded" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.zero_genus_kkt_bounded" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.goldenCentering" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.crossStep" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.encodeReceipt" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.IsEigensolid" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.zero" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.add" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.stepA" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.stepB" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.torusCrossStep" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.spatialWinding" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.phaseWinding" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.IsTopologicallyTrivial" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.IsTopologicallyTrivialBool" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.IsNonSaturatedPhase" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.IsNonSaturated" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.crossPartner" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.ZeroGenusLayer" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.inZeroGenusLayer" [label="contains"]; - "Semantics.BraidEigensolid" -> "Semantics.BraidEigensolid.strandResidue" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.IntNode" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.BettiCycleSet" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.merge" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.size" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.peaks" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.latestPeak" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.mountainList" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.append" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.isStable" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.burdenCost" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.geometryCost" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.adaptationCost" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.protectionCost" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.computePIST" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.SpherionState" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.voidUpdate" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.betaStep" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.rgFlow" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.SpherionState" [label="contains"]; - "Semantics.BraidField" -> "Semantics.BraidField.SpherionState" [label="contains"]; - "Semantics.BraidField" -> "Mathlib.Data.List.Basic" [label="imports"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.witnessRoundtripHeader" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.witnessRoundtripPayload" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.invalidFrameRejected" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.directCodecRoundtripBytes" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.headerBytes_length" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.packetBytes_length_bound" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.PacketFitsOneFrame" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.oneFramePayloadPreserved" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.empty" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.fromBytes" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.length" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.empty" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.maxWires" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.validWireCount" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.byteOfNat" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.byteToPhase" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.phaseBucket" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.slotScalar" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.bytePhaseVec" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.headerBytes" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.packetBytes" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.laneBytes" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.byteAt" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.decodeHeader" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.decodePayload" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.encodeStrand" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.encodeStrands" [label="contains"]; - "Semantics.BraidSerial" -> "Semantics.BraidSerial.encodePacket" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.crossPair_0" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.crossPair_1" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.crossPair_2" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.crossPair_3" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.strandPair_distinct" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.q16Clamp_add_clamp" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.ofNat_add_eq" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.ofNat_toNat_add" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.phaseVec_add_eq" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.getD_nonneg" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.ofNat_zero_eq" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.intNodeToPhaseVec_getD" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.add_coords_getD" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.IntNodeToPhaseVec_add" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.braidCross_phase_linear" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.Mountain_merge_apex_add" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.braidCross_merge_correspondence" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.spike_step_correspondence" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.strandFlow_step_count" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.k_spike_step_count" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.ofNat_val_nonneg" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.crossSlot_val_nonneg" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.braidCross_bracket_admissible" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.receipt_correspondence" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.receipt_encode_stable" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.IntNodeToPhaseVec" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.mountain" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.strandPair" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.strandZero" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.initStrandState" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.spikeToStrandUpdate" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.strandFlow" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.extractCrossingMatrix" [label="contains"]; - "Semantics.BraidSpherionBridge" -> "Semantics.BraidSpherionBridge.extractSidonSlack" [label="contains"]; - "Semantics.BraidStrand" -> "Semantics.BraidStrand.fromLeaf" [label="contains"]; - "Semantics.BraidStrand" -> "Semantics.BraidStrand.updateBracket" [label="contains"]; - "Semantics.BraidStrand" -> "Semantics.BraidStrand.addContribution" [label="contains"]; - "Semantics.BraidStrand" -> "Semantics.BraidStrand.zero" [label="contains"]; - "Semantics.BraidStrand" -> "Semantics.BraidStrand.isAdmissible" [label="contains"]; - "Semantics.BraidStrand" -> "Semantics.BraidStrand.magnitude" [label="contains"]; - "Semantics.BraidStrand" -> "Semantics.BraidStrand.phaseAngle" [label="contains"]; - "Semantics.BraidStrand" -> "Semantics.BraidStrand.empty" [label="contains"]; - "Semantics.BraidStrand" -> "Semantics.BraidStrand.register" [label="contains"]; - "Semantics.BraidStrand" -> "Semantics.BraidStrand.count" [label="contains"]; - "Semantics.BraidStrand" -> "Semantics.BraidStrand.allAdmissible" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.raw_add_mono" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.raw_mul_mono" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.raw_abs_nonneg" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.raw_abs_triangle" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.raw_sum_nonneg" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.eigensolid_convergence" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.receipt_invertible" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.q0_2_add_nonneg" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.q0_2_mul_nonneg" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.q0_2_raw_add" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.q0_2_raw_mul" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.q0_2_raw_abs" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.q0_2_raw_sum" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.isAdmissible" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.allAdmissible" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.fammGate" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.crossStrands" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.crossStep" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.IsEigensolid" [label="contains"]; - "Semantics.BraidTreeDIATPIST" -> "Semantics.BraidTreeDIATPIST.encodeReceipt" [label="contains"]; - "Semantics.BraidVCNBridge" -> "Semantics.BraidVCNBridge.covers" [label="contains"]; - "Semantics.BraidVCNBridge" -> "Semantics.BraidVCNBridge.eigensolid_convergence" [label="contains"]; - "Semantics.BraidVCNBridge" -> "Semantics.BraidVCNBridge.receipt_invertible" [label="contains"]; - "Semantics.BraidVCNBridge" -> "Semantics.BraidVCNBridge.encodeBraidStrand" [label="contains"]; - "Semantics.BraidVCNBridge" -> "Semantics.BraidVCNBridge.encodeBraidCrossing" [label="contains"]; - "Semantics.BraidVCNBridge" -> "Semantics.BraidVCNBridge.encodeMountain" [label="contains"]; - "Semantics.BraidVCNBridge" -> "Semantics.BraidVCNBridge.decodeMountain" [label="contains"]; - "Semantics.BraidVCNBridge" -> "Semantics.BraidVCNBridge.encodeFrame" [label="contains"]; - "Semantics.BraidVCNBridge" -> "Semantics.BraidVCNBridge.decodeFrame" [label="contains"]; - "Semantics.BraidVCNBridge" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.sample_braiding_history_len" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.sample_invariant_tick" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.sample_candidate_protected" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.gap_collapse_not_candidate" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.defaultQuasiparticle" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.total" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.validIndex" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.validBraiding" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.applyBraiding" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.topologicalInvariant" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.sameInvariant" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.braidPhase" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.wavefunctionTick" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.intAbs" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.effectiveMassMilli" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.braid" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.totalPhase" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.isProtectionCandidate" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.sampleHamiltonian" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.sampleField" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.sampleBraids" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.sampleBraidedField" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.sampleTopologicalField" [label="contains"]; - "Semantics.BraidedField" -> "Semantics.BraidedField.gapCollapseField" [label="contains"]; - "Semantics.BraidedFieldPaths" -> 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"Semantics.Canon.fromPbacsProjections" [label="contains"]; - "Semantics.Canon" -> "Semantics.Canon.fromGeometryFeatures" [label="contains"]; - "Semantics.Canon" -> "Semantics.Canon.isStable" [label="contains"]; - "Semantics.Canon" -> "Semantics.Canon.isCritical" [label="contains"]; - "Semantics.Canon" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.CanonAdapters" -> "Semantics.CanonAdapters.emptyCanonicalVectorWidth" [label="contains"]; - "Semantics.CanonAdapters" -> "Semantics.CanonAdapters.defaultCanonicalPackLength" [label="contains"]; - "Semantics.CanonAdapters" -> "Semantics.CanonAdapters.minmaxNormalizationHitsZero" [label="contains"]; - "Semantics.CanonAdapters" -> "Semantics.CanonAdapters.CanonicalDimension" [label="contains"]; - "Semantics.CanonAdapters" -> "Semantics.CanonAdapters.CanonicalVectorSpec" [label="contains"]; - "Semantics.CanonAdapters" -> "Semantics.CanonAdapters.clampQ16" [label="contains"]; - "Semantics.CanonAdapters" -> "Semantics.CanonAdapters.normalizeFeatureValue" [label="contains"]; - "Semantics.CanonAdapters" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.q16_16_field_kind_core_safe" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.canonicalEndian" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.canonicalBitOrder" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.pushByte" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.encodeU16BE" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.encodeU32BE" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.encodeU64BE" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.encodeNatBE" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.encodeText" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.fieldKindTag" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.intFitsSigned" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.serializeCanonicalValue" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.serializeCanonicalField" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.serializeCanonicalBinaryForm" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.fieldKindCoreSafe" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.uniqueFieldNames" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.RecordSchema" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.SameIdentity" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.IsCanonical" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.CanonSerialization.applyFilters" [label="contains"]; - "Semantics.CanonSerialization" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.CanonicalInterval" -> "Semantics.CanonicalInterval.canonicalIntervalInvariant" [label="contains"]; - "Semantics.CausalGeometry" -> "Semantics.CausalGeometry.nodeCoherenceOf" [label="contains"]; - "Semantics.CausalGeometry" -> "Semantics.CausalGeometry.classifyCausalCurvature" [label="contains"]; - "Semantics.CausalGeometry" -> "Semantics.CausalGeometry.causalSignatureOf" [label="contains"]; - "Semantics.CausalGeometry" -> "Semantics.CausalGeometry.mergeLayers" [label="contains"]; - "Semantics.CausalGeometry" -> "Semantics.CausalGeometry.processCausalTransition" [label="contains"]; - "Semantics.CausalGeometry" -> "Semantics.PhysicsScalarBridge" [label="imports"]; - "Semantics.CellSnowballConstraint" -> "Semantics.CellSnowballConstraint.snowballGrowthRespectsDiffusionLimit" [label="contains"]; - "Semantics.CellSnowballConstraint" -> "Semantics.CellSnowballConstraint.ecmSupportExtendsSafeWindow" [label="contains"]; - "Semantics.CellSnowballConstraint" -> "Semantics.CellSnowballConstraint.snowballPreservesManifoldConnectivity" [label="contains"]; - "Semantics.CellSnowballConstraint" -> "Semantics.CellSnowballConstraint.diffusionLimitRadius" [label="contains"]; - "Semantics.CellSnowballConstraint" -> "Semantics.CellSnowballConstraint.vascularizationThreshold" [label="contains"]; - "Semantics.CellSnowballConstraint" -> "Semantics.CellSnowballConstraint.ecmFormationTime" [label="contains"]; - "Semantics.CellSnowballConstraint" -> "Semantics.CellSnowballConstraint.snowballGrowthRate" [label="contains"]; - "Semantics.CellSnowballConstraint" -> "Semantics.CellSnowballConstraint.safeCompressionWindowSeconds" [label="contains"]; - "Semantics.CellSnowballConstraint" -> "Semantics.CellSnowballConstraint.snowballPhaseDuration" [label="contains"]; - "Semantics.CellSnowballConstraint" -> "Semantics.CellSnowballConstraint.computeAdaptationVerdict" [label="contains"]; - "Semantics.CellSnowballConstraint" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.ChatLogConversion" -> "Semantics.ChatLogConversion.parseMarkdownChatLog" [label="contains"]; - "Semantics.ChatLogConversion" -> "Semantics.ChatLogConversion.computeSHA256" [label="contains"]; - "Semantics.ChatLogConversion" -> "Semantics.ChatLogConversion.extractText" [label="contains"]; - "Semantics.ChatLogConversion" -> "Semantics.ChatLogConversion.computeConceptVector" [label="contains"]; - "Semantics.ChatLogConversion" -> "Semantics.ChatLogConversion.extractEntities" [label="contains"]; - "Semantics.ChatLogConversion" -> "Semantics.ChatLogConversion.classifyTopics" [label="contains"]; - "Semantics.ChatLogConversion" -> "Semantics.ChatLogConversion.generateArchiveId" [label="contains"]; - "Semantics.ChatLogConversion" -> "Semantics.ChatLogConversion.chatLogConversionBind" [label="contains"]; - "Semantics.ChentsovBridge" -> "Semantics.ChentsovBridge.fisher_quadratic_form_eq" [label="contains"]; - "Semantics.ChentsovBridge" -> "Semantics.ChentsovBridge.sim_metric_field_is_monotone" [label="contains"]; - "Semantics.ChentsovBridge" -> "Semantics.ChentsovBridge.sim_metric_equals_fisher_when_torsion_free" [label="contains"]; - "Semantics.ChentsovBridge" -> "Semantics.ChentsovBridge.canonical_normalization" [label="contains"]; - "Semantics.ChentsovBridge" -> "Semantics.ChentsovBridge.quadraticForm" [label="contains"]; - "Semantics.ChentsovBridge" -> "Semantics.ChentsovBridge.fisherQuadraticForm" [label="contains"]; - "Semantics.ChentsovBridge" -> "Semantics.ChentsovBridge.applyMarkov" [label="contains"]; - "Semantics.ChentsovBridge" -> "Semantics.ChentsovBridge.mergeTwo" [label="contains"]; - "Semantics.ChentsovBridge" -> "Semantics.ChentsovBridge.fisherMetricField" [label="contains"]; - "Semantics.ChentsovBridge" -> "Semantics.ChentsovBridge.simMetricField" [label="contains"]; - "Semantics.ChentsovBridge" -> "Semantics.ChentsovBridge.simQuadraticForm" [label="contains"]; - "Semantics.ChentsovBridge" -> "Semantics.ChentsovBridge.isTorsionFree" [label="contains"]; - "Semantics.CodonOTOM" -> "Semantics.CodonOTOM.mutation_improves" [label="contains"]; - "Semantics.CodonOTOM" -> "Semantics.CodonOTOM.phiCodon_bounded" [label="contains"]; - "Semantics.CodonOTOM" -> "Semantics.CodonOTOM.phiCodon_pos_of_numerator_pos" [label="contains"]; - "Semantics.CodonOTOM" -> "Semantics.CodonOTOM.deltaPhi_zero_of_unchanged" [label="contains"]; - "Semantics.CodonOTOM" -> "Semantics.CodonOTOM.beneficialMutation_implies_increase" [label="contains"]; - "Semantics.CodonOTOM" -> "Semantics.CodonOTOM.phiCodon_universal_efficiency_instantiation" [label="contains"]; - "Semantics.CodonOTOM" -> "Semantics.CodonOTOM.baseCode" [label="contains"]; - "Semantics.CodonOTOM" -> "Semantics.CodonOTOM.translate" [label="contains"]; - "Semantics.CodonOTOM" -> "Semantics.CodonOTOM.degeneracy" [label="contains"]; - "Semantics.CodonOTOM" -> "Semantics.CodonOTOM.beneficialMutation" [label="contains"]; - "Semantics.CodonOTOM" -> "Semantics.CodonOTOM.denomSafe" [label="contains"]; - "Semantics.CodonOTOM" -> "Mathlib.Data.Real.Basic" [label="imports"]; - "Semantics.CodonPeptideConsistency" -> "Semantics.CodonPeptideConsistency.gateWeight_zero_folding" [label="contains"]; - "Semantics.CodonPeptideConsistency" -> "Semantics.CodonPeptideConsistency.gateWeight_zero_bias" [label="contains"]; - "Semantics.CodonPeptideConsistency" -> "Semantics.CodonPeptideConsistency.phiCDS_zero_peptide_weight" [label="contains"]; - "Semantics.CodonPeptideConsistency" -> "Semantics.CodonPeptideConsistency.phiCDS_zero_codon_weight" [label="contains"]; - "Semantics.CodonPeptideConsistency" -> "Semantics.CodonPeptideConsistency.cotranslationalWindow_is_prefix" [label="contains"]; - "Semantics.CodonPeptideConsistency" -> "Semantics.CodonPeptideConsistency.cotranslationalWindow_empty" [label="contains"]; - "Semantics.CodonPeptideConsistency" -> "Semantics.CodonPeptideConsistency.cotranslationalWindow_full" [label="contains"]; - "Semantics.CodonPeptideConsistency" -> "Semantics.CodonPeptideConsistency.phiCDS_bounded" [label="contains"]; - "Semantics.CodonPeptideConsistency" -> "Semantics.CodonPeptideConsistency.aaToPeptideClass" [label="contains"]; - "Semantics.CodonPeptideConsistency" -> "Semantics.CodonPeptideConsistency.synonymous" [label="contains"]; - "Semantics.CodonPeptideConsistency" -> "Semantics.CodonPeptideConsistency.pointMutate" [label="contains"]; - "Semantics.CodonPeptideConsistency" -> "Semantics.CodonPeptideConsistency.beneficialAtCodon" [label="contains"]; - "Semantics.CodonPeptideConsistency" -> "Semantics.CodonPeptideConsistency.beneficialAtCDS" [label="contains"]; - "Semantics.CodonPeptideConsistency" -> "Mathlib.Data.Real.Basic" [label="imports"]; - "Semantics.CognitiveLoad" -> "Semantics.CognitiveLoad.epsilon" [label="contains"]; - "Semantics.CognitiveLoad" -> "Semantics.CognitiveLoad.intrinsicLoad" [label="contains"]; - "Semantics.CognitiveLoad" -> "Semantics.CognitiveLoad.extraneousLoad" [label="contains"]; - "Semantics.CognitiveLoad" -> "Semantics.CognitiveLoad.germaneLoad" [label="contains"]; - "Semantics.CognitiveLoad" -> "Semantics.CognitiveLoad.routingLoad" [label="contains"]; - "Semantics.CognitiveLoad" -> "Semantics.CognitiveLoad.memoryLoad" [label="contains"]; - "Semantics.CognitiveLoad" -> "Semantics.CognitiveLoad.totalLoad" [label="contains"]; - "Semantics.CognitiveLoad" -> "Semantics.CognitiveLoad.cognitiveEfficiency" [label="contains"]; - "Semantics.CognitiveLoad" -> "Semantics.CognitiveLoad.regretAdjustedLoad" [label="contains"]; - "Semantics.CognitiveLoad" -> "Semantics.CognitiveLoad.basinConditionalLoad" [label="contains"]; - "Semantics.CognitiveLoad" -> "Semantics.CognitiveLoad.moePredictorDistribution" [label="contains"]; - "Semantics.CognitiveLoad" -> "Semantics.CognitiveLoad.loadInvariant" [label="contains"]; - "Semantics.CognitiveLoad" -> "Semantics.CognitiveLoad.loadDeltaCost" [label="contains"]; - "Semantics.CognitiveLoad" -> "Semantics.CognitiveLoad.cognitiveLoadBind" [label="contains"]; - "Semantics.CognitiveLoadInvariantEnhanced" -> "Semantics.CognitiveLoadInvariantEnhanced.invariantPreservationLoad" [label="contains"]; - "Semantics.CognitiveLoadInvariantEnhanced" -> "Semantics.CognitiveLoadInvariantEnhanced.criticalInvariantBroken" [label="contains"]; - "Semantics.CognitiveLoadInvariantEnhanced" -> "Semantics.CognitiveLoadInvariantEnhanced.trajectoryQuality" [label="contains"]; - "Semantics.CognitiveLoadInvariantEnhanced" -> "Semantics.CognitiveLoadInvariantEnhanced.convergenceInhibition" [label="contains"]; - "Semantics.CognitiveLoadInvariantEnhanced" -> "Semantics.CognitiveLoadInvariantEnhanced.enhancedTotalLoad" [label="contains"]; - "Semantics.CognitiveLoadInvariantEnhanced" -> "Semantics.CognitiveLoadInvariantEnhanced.invariantAwareEfficiency" [label="contains"]; - "Semantics.CognitiveLoadInvariantEnhanced" -> "Semantics.CognitiveLoadInvariantEnhanced.enhancedLoadDeltaCost" [label="contains"]; - "Semantics.CognitiveLoadInvariantEnhanced" -> "Semantics.CognitiveLoadInvariantEnhanced.enhancedLoadInvariant" [label="contains"]; - "Semantics.CognitiveLoadInvariantEnhanced" -> "Semantics.CognitiveLoadInvariantEnhanced.enhancedCognitiveLoadBind" [label="contains"]; - "Semantics.CognitiveMorphemics" -> "Semantics.CognitiveMorphemics.action_preserves_classical_purity" [label="contains"]; - "Semantics.CognitiveMorphemics" -> "Semantics.CognitiveMorphemics.morphemeToQuaternion" [label="contains"]; - "Semantics.CognitiveMorphemics" -> "Semantics.CognitiveMorphemics.CognitiveState_initial" [label="contains"]; - "Semantics.CognitiveMorphemics" -> "Semantics.CognitiveMorphemics.CognitiveState_transition" [label="contains"]; - "Semantics.CognitiveMorphemics" -> "Semantics.CognitiveMorphemics.trajectoryQuality" [label="contains"]; - "Semantics.CognitiveMorphemics" -> "Semantics.Quaternion" [label="imports"]; - "Semantics.ColeHopfTransform" -> "Semantics.ColeHopfTransform.forwardDiff" [label="contains"]; - "Semantics.ColeHopfTransform" -> "Semantics.ColeHopfTransform.centralDiff" [label="contains"]; - "Semantics.ColeHopfTransform" -> "Semantics.ColeHopfTransform.secondDiff" [label="contains"]; - "Semantics.ColeHopfTransform" -> "Semantics.ColeHopfTransform.heatRHS" [label="contains"]; - "Semantics.ColeHopfTransform" -> "Semantics.ColeHopfTransform.stepHeatEuler" [label="contains"]; - "Semantics.ColeHopfTransform" -> "Semantics.ColeHopfTransform.coleHopfForward" [label="contains"]; - "Semantics.ColeHopfTransform" -> "Semantics.ColeHopfTransform.toBurgersState" [label="contains"]; - "Semantics.ColeHopfTransform" -> "Semantics.ColeHopfTransform.expApprox" [label="contains"]; - "Semantics.ColeHopfTransform" -> "Semantics.ColeHopfTransform.cumulativeIntegral" [label="contains"]; - "Semantics.ColeHopfTransform" -> "Semantics.ColeHopfTransform.inverseColeHopf" [label="contains"]; - "Semantics.ColeHopfTransform" -> "Semantics.ColeHopfTransform.testHeatState" [label="contains"]; - "Semantics.CollectiveManifoldInterface" -> "Semantics.CollectiveManifoldInterface.gossipMergePreservesSafety" [label="contains"]; - "Semantics.CollectiveManifoldInterface" -> "Semantics.CollectiveManifoldInterface.collectiveOEPINonNegative" [label="contains"]; - "Semantics.CollectiveManifoldInterface" -> "Semantics.CollectiveManifoldInterface.collectiveBindLawful" [label="contains"]; - "Semantics.CollectiveManifoldInterface" -> "Semantics.CollectiveManifoldInterface.zero" [label="contains"]; - "Semantics.CollectiveManifoldInterface" -> "Semantics.CollectiveManifoldInterface.one" [label="contains"]; - "Semantics.CollectiveManifoldInterface" -> "Semantics.CollectiveManifoldInterface.ofFrac" [label="contains"]; - "Semantics.CollectiveManifoldInterface" -> "Semantics.CollectiveManifoldInterface.computeCRC8" [label="contains"]; - "Semantics.CollectiveManifoldInterface" -> "Semantics.CollectiveManifoldInterface.validateFrame" [label="contains"]; - "Semantics.CollectiveManifoldInterface" -> "Semantics.CollectiveManifoldInterface.initCollectiveState" [label="contains"]; - "Semantics.CollectiveManifoldInterface" -> "Semantics.CollectiveManifoldInterface.gossipMerge" [label="contains"]; - "Semantics.CollectiveManifoldInterface" -> "Semantics.CollectiveManifoldInterface.collectiveOEPIScore" [label="contains"]; - "Semantics.CollectiveManifoldInterface" -> "Semantics.CollectiveManifoldInterface.collectiveManifoldBind" [label="contains"]; - "Semantics.CompileBridge" -> "Semantics.CompileBridge.batch" [label="contains"]; - "Semantics.CompileBridge" -> "Semantics.CompileBridge.toKernelName" [label="contains"]; - "Semantics.CompileBridge" -> "Semantics.CompileBridge.toDispatchIndex" [label="contains"]; - "Semantics.CompileBridge" -> "Semantics.CompileBridge.count" [label="contains"]; - "Semantics.CompileBridge" -> "Semantics.CompileBridge.resultIdsValid" [label="contains"]; - "Semantics.CompileBridge" -> "Semantics.CompileBridge.resultCountsValid" [label="contains"]; - "Semantics.CompileBridge" -> "Semantics.CompileBridge.totalCountMatches" [label="contains"]; - "Semantics.CompileBridge" -> "Semantics.CompileBridge.invariantsHold" [label="contains"]; - "Semantics.CompileBridge" -> "Semantics.CompileBridge.promoteToClaim" [label="contains"]; - "Semantics.CompileBridge" -> "Semantics.CompileBridge.emptyReceipt" [label="contains"]; - "Semantics.CompleteInteractionGraph" -> "Semantics.CompleteInteractionGraph.completeAdj_row_sum" [label="contains"]; - "Semantics.CompleteInteractionGraph" -> "Semantics.CompleteInteractionGraph.completeAdj_edge_count" [label="contains"]; - "Semantics.CompleteInteractionGraph" -> "Semantics.CompleteInteractionGraph.completeAdj_max_edges" [label="contains"]; - "Semantics.CompleteInteractionGraph" -> "Semantics.CompleteInteractionGraph.completeAdj_step_exists" [label="contains"]; - "Semantics.CompleteInteractionGraph" -> "Semantics.CompleteInteractionGraph.completeAdj_diameter_one" [label="contains"]; - "Semantics.CompleteInteractionGraph" -> "Semantics.CompleteInteractionGraph.completeAdj_not_sidon_witness" [label="contains"]; - "Semantics.CompleteInteractionGraph" -> "Semantics.CompleteInteractionGraph.completeAdj_contains_all" [label="contains"]; - "Semantics.CompleteInteractionGraph" -> "Semantics.CompleteInteractionGraph.walkMatrix_off_diag" [label="contains"]; - "Semantics.CompleteInteractionGraph" -> "Semantics.CompleteInteractionGraph.completeAdj" [label="contains"]; - "Semantics.CompleteInteractionGraph" -> "Semantics.CompleteInteractionGraph.K" [label="contains"]; - "Semantics.CompleteInteractionGraph" -> "Semantics.CompleteInteractionGraph.walkMatrix" [label="contains"]; - "Semantics.CompleteInteractionGraph" -> "Semantics.CompleteInteractionGraph.directedEdgeCount" [label="contains"]; - "Semantics.Components.Bind" -> "Semantics.Components.Bind.coreBind" [label="contains"]; - "Semantics.Components.Bind" -> "Semantics.Components.Bind.gradientOptimizedBind" [label="contains"]; - "Semantics.Components.Bind" -> "Semantics.Components.Bind.quaternionOptimizedBind" [label="contains"]; - "Semantics.Components.Bind" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.Components.Composition" -> "Semantics.Components.Composition.mixComponents" [label="contains"]; - "Semantics.Components.Composition" -> "Semantics.Components.Composition.createGradientBindMixer" [label="contains"]; - "Semantics.Components.Composition" -> "Semantics.Components.Composition.createQuaternionBindMixer" [label="contains"]; - "Semantics.Components.Composition" -> "Semantics.Components.Core" [label="imports"]; - "Semantics.Components.Core" -> "Semantics.Components.Core.MetricComponent" [label="contains"]; - "Semantics.Components.Core" -> "Semantics.Components.Core.WitnessComponent" [label="contains"]; - "Semantics.Components.Core" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.Components.Demo" -> "Semantics.Components.Demo.demoGradientBindMix" [label="contains"]; - "Semantics.Components.Demo" -> "Semantics.Components.Demo.demoQuaternionBindMix" [label="contains"]; - "Semantics.Components.Demo" -> "Semantics.Components.Demo.demoPipelineMix" [label="contains"]; - "Semantics.Components.Demo" -> "Semantics.Components.Demo.demoStateMix" [label="contains"]; - "Semantics.Components.Demo" -> "Semantics.Components.Demo.selectCostComponent" [label="contains"]; - "Semantics.Components.Demo" -> "Semantics.Components.Demo.configureComponent" [label="contains"]; - "Semantics.Components.Demo" -> "Semantics.Components.Demo.runAllDemos" [label="contains"]; - "Semantics.Components.Demo" -> "Semantics.Components.Core" [label="imports"]; - "Semantics.Components.Gradient" -> "Semantics.Components.Gradient.GradientState" [label="contains"]; - "Semantics.Components.Gradient" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.Components.Pipeline" -> "Semantics.Components.Pipeline.TemporalBufferComponent" [label="contains"]; - "Semantics.Components.Pipeline" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.Components.Quaternion" -> "Semantics.Components.Quaternion.Quaternion" [label="contains"]; - "Semantics.Components.Quaternion" -> "Semantics.Components.Quaternion.Quaternion" [label="contains"]; - "Semantics.Components.Quaternion" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.Components.State" -> "Semantics.Components.State.CanonicalStateComponent" [label="contains"]; - "Semantics.Components.State" -> "Semantics.Components.State.updateStateWithDelta" [label="contains"]; - "Semantics.Components.State" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.cachedCanonicalized" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.pruneSetsPruned" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.highConfidenceAdmissibleNotPruned" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.seenCacheCanonicalized" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.confidenceThreshold" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.redThreshold" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.blueThreshold" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.updateConfidence" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.getControlFlag" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.canonicalized" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.pruneDecision" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.localUpdate" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.cacheUpdate" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.canonicalize" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.prune" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.controlStep" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.controlAdmissible" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.sampleControlState" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.CompressionControl.sampleControlStep" [label="contains"]; - "Semantics.CompressionControl" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.CompressionEvidence" -> "Semantics.CompressionEvidence.energyDecomposesRetainedPlusResidual" [label="contains"]; - "Semantics.CompressionEvidence" -> "Semantics.CompressionEvidence.retainedBasisErrorEqResidual" [label="contains"]; - "Semantics.CompressionEvidence" -> "Semantics.CompressionEvidence.residualToleranceMonotone" [label="contains"]; - "Semantics.CompressionEvidence" -> "Semantics.CompressionEvidence.admissibleOfEvidence" [label="contains"]; - "Semantics.CompressionEvidence" -> "Semantics.CompressionEvidence.mkLocalEnvironment" [label="contains"]; - "Semantics.CompressionEvidence" -> "Semantics.CompressionEvidence.retainedBasisError" [label="contains"]; - "Semantics.CompressionEvidence" -> "Semantics.CompressionEvidence.isBodyOrderedUpTo" [label="contains"]; - "Semantics.CompressionEvidence" -> "Semantics.CompressionEvidence.withinResidualLimit" [label="contains"]; - 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"Semantics.Core.MassNumber" -> "Semantics.Core.MassNumber.mkMassNumberNat" [label="contains"]; - "Semantics.Core.MassNumber" -> "Semantics.Core.MassNumber.gcclSwapGate" [label="contains"]; - "Semantics.Core.MassNumber" -> "Semantics.Core.MassNumber.fammRouteGate" [label="contains"]; - "Semantics.Core.MassNumber" -> "Semantics.Core.MassNumber.braidTransferGate" [label="contains"]; - "Semantics.Core.MassNumber" -> "Semantics.Core.MassNumber.tsmTransitionGate" [label="contains"]; - "Semantics.Core.MassNumber" -> "Semantics.Core.MassNumber.hutterCompressionGate" [label="contains"]; - "Semantics.Core.MassNumber" -> "Semantics.Core.MassNumber.depthPolicyOk" [label="contains"]; - "Semantics.Core.MassNumber" -> "Semantics.Core.MassNumber.promotionReady" [label="contains"]; - "Semantics.Core.MassNumber" -> "Semantics.Core.MassNumber.underverseRule" [label="contains"]; - "Semantics.Core.MassNumber" -> "Semantics.Core.MassNumber.exampleNotAdmissible" [label="contains"]; - "Semantics.Core.MassNumber" -> "Semantics.Core.MassNumber.exampleAdmissible" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.admittedPathActivatesTorsion" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.admittedPathClosesWitness" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.admittedPathDecision" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.holdPathLeavesTorsionUnchanged" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.holdPathDecision" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.quarantinePathRoutesResidual" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.quarantinePathDecision" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.zero" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.get" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.set" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.markerAdmissible" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.applyMarker" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.applyPath" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.anyLayoutViolation" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> "Semantics.Core.PathEpigeneticManifold.anyMissingReceipt" [label="contains"]; - "Semantics.Core.PathEpigeneticManifold" -> 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"Semantics.Core.QuantumFoamBoundary" -> "Semantics.Core.QuantumFoamBoundary.exactZeroFixture" [label="contains"]; - "Semantics.Core.QuantumFoamBoundary" -> "Semantics.Core.QuantumFoamBoundary.foamJitterFixture" [label="contains"]; - "Semantics.Core.QuantumFoamBoundary" -> "Semantics.Core.QuantumFoamBoundary.outOfBandFixture" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureImproves" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.decreasedFixtureDecreases" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.holdFixtureHolds" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.rejectFixtureRejects" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.unchangedFixtureUnchanged" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureBaselineScore" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureRefinedScore" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureReason" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.decreasedFixtureReason" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.unchangedFixtureReason" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.baselineScore" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.shortcutGain" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.genus3Aligned" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.foldedThroatAdmissible" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.refinedScore" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.resolutionBudget" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.resolutionDelta" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.compareScores" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.decideResolution" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.explainResolution" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.improvedFixture" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.decreasedFixture" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.holdFixture" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.rejectFixture" [label="contains"]; - "Semantics.Core.S3CProjectedGeodesicResolution" -> "Semantics.Core.S3CProjectedGeodesicResolution.unchangedFixture" [label="contains"]; - "Semantics.Core.UnderversePacket" -> 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"Semantics.CouchFilterNormalization" -> "Semantics.CouchFilterNormalization.couchRoutingMode" [label="contains"]; - "Semantics.CouchFilterNormalization" -> "Semantics.CouchFilterNormalization.couchRoutingAction" [label="contains"]; - "Semantics.CouchFilterNormalization" -> "Semantics.CouchFilterNormalization.couchForestSignals" [label="contains"]; - "Semantics.CouchFilterNormalization" -> "Semantics.CouchFilterNormalization.couchNormalizedRouteMode" [label="contains"]; - "Semantics.CouchFilterNormalization" -> "Semantics.AbelianSandpileRouting" [label="imports"]; - "Semantics.CoulombComplexity" -> "Semantics.CoulombComplexity.likeChargesRepel" [label="contains"]; - "Semantics.CoulombComplexity" -> "Semantics.CoulombComplexity.oppositeChargesAttract" [label="contains"]; - "Semantics.CoulombComplexity" -> "Semantics.CoulombComplexity.neutralNodesNoForce" [label="contains"]; - "Semantics.CoulombComplexity" -> "Semantics.CoulombComplexity.Charge" [label="contains"]; - 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"Semantics.HyperbolicEncoding" -> "Semantics.HyperbolicEncoding.hyperbolicDistance" [label="contains"]; - "Semantics.HyperbolicEncoding" -> "Semantics.HyperbolicEncoding.initHyperbolicCache" [label="contains"]; - "Semantics.HyperbolicEncoding" -> "Semantics.HyperbolicEncoding.getOrEncode" [label="contains"]; - "Semantics.HypercubeTopology" -> "Semantics.HypercubeTopology.lawfulActionPreservesNeighborCount" [label="contains"]; - "Semantics.HypercubeTopology" -> "Semantics.HypercubeTopology.hypercubeDistanceSymmetric" [label="contains"]; - "Semantics.HypercubeTopology" -> "Semantics.HypercubeTopology.hypercubeDiameterEqualsDimensions" [label="contains"]; - "Semantics.HypercubeTopology" -> "Semantics.HypercubeTopology.hypercubeDistance" [label="contains"]; - "Semantics.HypercubeTopology" -> "Semantics.HypercubeTopology.areNeighbors" [label="contains"]; - "Semantics.HypercubeTopology" -> "Semantics.HypercubeTopology.getNeighbors" [label="contains"]; - "Semantics.HypercubeTopology" -> 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[label="contains"]; - "Semantics.NetworkCapacity" -> "Semantics.NetworkCapacity.ofFrac" [label="contains"]; - "Semantics.NetworkCapacity" -> "Semantics.NetworkCapacity.isOnline" [label="contains"]; - "Semantics.NetworkCapacity" -> "Semantics.NetworkCapacity.estimateNodeResources" [label="contains"]; - "Semantics.NetworkCapacity" -> "Semantics.NetworkCapacity.calculateTotalCapacity" [label="contains"]; - "Semantics.NetworkCapacity" -> "Semantics.NetworkCapacity.calculateENECoverage" [label="contains"]; - "Semantics.NetworkCapacity" -> "Semantics.NetworkCapacity.generateCapacityReport" [label="contains"]; - "Semantics.NetworkRAM" -> "Semantics.NetworkRAM.DriftTensor_fromTiming" [label="contains"]; - "Semantics.NetworkRAM" -> "Semantics.NetworkRAM.DelayLine_empty" [label="contains"]; - "Semantics.NetworkRAM" -> "Semantics.NetworkRAM.DelayLine_readAt" [label="contains"]; - "Semantics.NetworkRAM" -> "Semantics.NetworkRAM.DelayLine_writeAt" [label="contains"]; - "Semantics.NetworkRAM" -> "Semantics.NetworkRAM.NetworkRAM_blitStep" [label="contains"]; - "Semantics.NetworkRAM" -> "Semantics.Quaternion" [label="imports"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.solitonConvergence" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.boundedPropagationTime" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.asyncSelfSolvingPreservation" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.eventualConsistency" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.globalConsistency" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.communicationCostMonotonicity" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.networkedDescentConvergence" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.mengerSpongeErasureBasin" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.holographicQuantumEraser" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.holographicStateErasure" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.topologicalPruningRestoresInterference" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.distributedQuineAxiom" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.emulatePistAtNode" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.updateEmulatedState" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.networkedLyapunov" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.networkedLyapunovDescent" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.expand" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.prune" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.solitonPropagationProbability" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.stochasticDelay" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.solitonPhase" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.generateSolitonMessages" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.solitonArrives" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.propagateSolitons" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.applyStateUpdates" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.gossip" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.masterEquation" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.getTorusDistance" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.isNetworkedActionLawful" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.networkedBind" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.NetworkedSelfSolvingSpace.whichPathInformationErased" [label="contains"]; - "Semantics.NetworkedSelfSolvingSpace" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.NeurodivergentPatternLUT" -> "Semantics.NeurodivergentPatternLUT.mkNeurotypicalPattern" [label="contains"]; - "Semantics.NeurodivergentPatternLUT" -> "Semantics.NeurodivergentPatternLUT.mkAutismPattern" [label="contains"]; - "Semantics.NeurodivergentPatternLUT" -> "Semantics.NeurodivergentPatternLUT.mkADHDPattern" [label="contains"]; - "Semantics.NeurodivergentPatternLUT" -> "Semantics.NeurodivergentPatternLUT.mkCombinedPattern" [label="contains"]; - "Semantics.NeurodivergentPatternLUT" -> "Semantics.NeurodivergentPatternLUT.mkAdaptivePattern" [label="contains"]; - "Semantics.NeurodivergentPatternLUT" -> "Semantics.NeurodivergentPatternLUT.initWarmLUT" [label="contains"]; - "Semantics.NeurodivergentPatternLUT" -> "Semantics.NeurodivergentPatternLUT.loadPattern" [label="contains"]; - "Semantics.NeurodivergentPatternLUT" -> "Semantics.NeurodivergentPatternLUT.loadPatternByType" [label="contains"]; - "Semantics.NeurodivergentPatternLUT" -> "Semantics.NeurodivergentPatternLUT.loadAdaptivePattern" [label="contains"]; - "Semantics.NextGenAgentDesign" -> "Semantics.NextGenAgentDesign.zero" [label="contains"]; - "Semantics.NextGenAgentDesign" -> "Semantics.NextGenAgentDesign.one" [label="contains"]; - "Semantics.NextGenAgentDesign" -> "Semantics.NextGenAgentDesign.ofNat" [label="contains"]; - "Semantics.NextGenAgentDesign" -> "Semantics.NextGenAgentDesign.toNat" [label="contains"]; - "Semantics.NextGenAgentDesign" -> "Semantics.NextGenAgentDesign.ofFrac" [label="contains"]; - "Semantics.NextGenAgentDesign" -> "Semantics.NextGenAgentDesign.currentBaseline" [label="contains"]; - "Semantics.NextGenAgentDesign" -> "Semantics.NextGenAgentDesign.identifyBottlenecks" [label="contains"]; - "Semantics.NextGenAgentDesign" -> "Semantics.NextGenAgentDesign.designNextGenFeatures" [label="contains"]; - "Semantics.NextGenAgentDesign" -> "Semantics.NextGenAgentDesign.calculateCumulativeImprovement" 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"Semantics.NonEuclideanGeometry.phiWeightedDistSq" [label="contains"]; - "Semantics.NonEuclideanGeometry" -> "Semantics.NonEuclideanGeometry.maxJumpThreshold" [label="contains"]; - "Semantics.NonEuclideanGeometry" -> "Semantics.NonEuclideanGeometry.maxWrithe" [label="contains"]; - "Semantics.NonEuclideanGeometry" -> "Semantics.NonEuclideanGeometry.validatePath" [label="contains"]; - "Semantics.NonEuclideanGeometry" -> "Semantics.NonEuclideanGeometry.pathInvariant" [label="contains"]; - "Semantics.NonEuclideanGeometry" -> "Semantics.NonEuclideanGeometry.pathCost" [label="contains"]; - "Semantics.NonEuclideanGeometry" -> "Semantics.NonEuclideanGeometry.nEGeomBind" [label="contains"]; - "Semantics.NonStandardInterfaces" -> "Semantics.NonStandardInterfaces.zero" [label="contains"]; - "Semantics.NonStandardInterfaces" -> "Semantics.NonStandardInterfaces.one" [label="contains"]; - "Semantics.NonStandardInterfaces" -> "Semantics.NonStandardInterfaces.ofNat" [label="contains"]; - "Semantics.NonStandardInterfaces" -> "Semantics.NonStandardInterfaces.toNat" [label="contains"]; - "Semantics.NonStandardInterfaces" -> "Semantics.NonStandardInterfaces.ofFrac" [label="contains"]; - "Semantics.NonStandardInterfaces" -> "Semantics.NonStandardInterfaces.abs" [label="contains"]; - "Semantics.NonStandardInterfaces" -> "Semantics.NonStandardInterfaces.getCoverage" [label="contains"]; - "Semantics.NonStandardInterfaces" -> "Mathlib.Data.Nat.Basic" [label="imports"]; - "Semantics.OEPI" -> "Semantics.OEPI.exampleOepiNonnegative" [label="contains"]; - "Semantics.OEPI" -> "Semantics.OEPI.lowThresholdWitness" [label="contains"]; - "Semantics.OEPI" -> "Semantics.OEPI.criticalThresholdWitness" [label="contains"]; - "Semantics.OEPI" -> "Semantics.OEPI.criticalAlwaysAlerts" [label="contains"]; - "Semantics.OEPI" -> "Semantics.OEPI.determineThreshold" [label="contains"]; - "Semantics.OEPI" -> "Semantics.OEPI.calculateOEPI" [label="contains"]; - "Semantics.OEPI" -> "Semantics.OEPI.oepiCalculationBind" [label="contains"]; - "Semantics.OEPI" -> "Semantics.OEPI.shouldAlertOperator" [label="contains"]; - "Semantics.OEPI" -> "Semantics.Bind" [label="imports"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.totalModuleCount" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.allModulesUnderOTOM" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.coreLayerSize" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.allModulesImportCore" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.otomVersionIsCambrianBind" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.otomLabel" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.otomVersion" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.otomTagline" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.otomRepository" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.otomOrigin" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.displayName" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.moduleCount" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.allDomains" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.otomModuleRegistry" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.description" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.repository" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.principleCoreDependency" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.principleVerification" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.principleUnifiedLabel" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.verifyOTOMPrinciples" [label="contains"]; - "Semantics.OTOMOntology" -> "Semantics.OTOMOntology.otomGitHub" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.chirality_prefixes_match_typst_surface" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.row_witness_atom_admissible" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.auto_direction_atom_not_admissible" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.unreceipted_atom_not_admissible" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.mirror_right_atom_admissible" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.bad_mirror_atom_not_admissible" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.board_tile_atom_admissible" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.captured_board_atom_admissible" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.dead_board_atom_not_admissible" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.quarantine_atom_routes_to_quarantine_not_accept" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.admissible_atom_has_explicit_direction" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.admissible_atom_has_receipt" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.chiralityPrefix" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.validPhase" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.chiralityCompatibleWithPhase" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.explicitDirection" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.receiptComplete" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.boardPlacementAdmissible" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.mirrorPlacementAdmissible" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.quarantinePlacementAdmissible" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.atomAdmissible" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.atomHeld" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.atomQuarantined" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.exampleReceipt" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.rowWitnessAtom" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.autoDirectionAtom" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.unreceiptedAtom" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.mirrorRightAtom" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.badMirrorAtom" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.boardTileAtom" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.capturedBoardAtom" [label="contains"]; - "Semantics.Omindirection" -> "Semantics.Omindirection.deadBoardAtom" [label="contains"]; - "Semantics.OmniNetwork" -> "Semantics.OmniNetwork.isLawfulPeer" [label="contains"]; - "Semantics.OmniNetwork" -> "Semantics.OmniNetwork.networkTension" [label="contains"]; - "Semantics.OmniNetwork" -> "Semantics.OmniNetwork.omniBind" [label="contains"]; - "Semantics.OmniNetwork" -> "Semantics.OmniNetwork.canAutobalance" [label="contains"]; - "Semantics.OmniNetwork" -> "Semantics.Autobalance" [label="imports"]; - "Semantics.OmnidirectionalInterface" -> "Semantics.OmnidirectionalInterface.routeIncreasesPending" [label="contains"]; - "Semantics.OmnidirectionalInterface" -> "Semantics.OmnidirectionalInterface.complete_non_increasing_pending" [label="contains"]; - "Semantics.OmnidirectionalInterface" -> "Semantics.OmnidirectionalInterface.complete_increments_completed" [label="contains"]; - "Semantics.OmnidirectionalInterface" -> "Semantics.OmnidirectionalInterface.totalQueriesMonotonic" [label="contains"]; - "Semantics.OmnidirectionalInterface" -> "Semantics.OmnidirectionalInterface.empty" [label="contains"]; - "Semantics.OmnidirectionalInterface" -> "Semantics.OmnidirectionalInterface.route" [label="contains"]; - "Semantics.OmnidirectionalInterface" -> "Semantics.OmnidirectionalInterface.complete" [label="contains"]; - "Semantics.OmnidirectionalInterface" -> "Semantics.OmnidirectionalInterface.getResultsBySubsystem" [label="contains"]; - "Semantics.OmnidirectionalInterface" -> "Semantics.OmnidirectionalInterface.domainToSubsystem" [label="contains"]; - "Semantics.OmnidirectionalInterface" -> "Semantics.OmnidirectionalInterface.proposalToQuery" 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-> "Semantics.OptimizedRoute.costSavings_positive" [label="contains"]; - "Semantics.OptimizedRoute" -> "Semantics.OptimizedRoute.optimizedRoute" [label="contains"]; - "Semantics.OptimizedRoute" -> "Semantics.OptimizedRoute.costSavings" [label="contains"]; - "Semantics.OptimizedRoute" -> "Semantics.RouteCost" [label="imports"]; - "Semantics.Orchestrate.BasinEscape" -> "Semantics.Orchestrate.BasinEscape.calculateEscapeVector" [label="contains"]; - "Semantics.Orchestrate.BasinEscape" -> "Semantics.Orchestrate.BasinEscape.escapeBasin" [label="contains"]; - "Semantics.Orchestrate.BasinEscape" -> "Semantics.Orchestrate.BasinEscape.stalledState" [label="contains"]; - "Semantics.Orchestrate.BasinEscape" -> "Semantics.PBACSSignal" [label="imports"]; - "Semantics.Orchestrate.CredentialSurface" -> "Semantics.Orchestrate.CredentialSurface.externalCredentials" [label="contains"]; - "Semantics.Orchestrate.CredentialSurface" -> "Semantics.Orchestrate.CredentialSurface.secureCredentials" [label="contains"]; - "Semantics.Orchestrate.CredentialSurface" -> "Semantics.PBACSSignal" [label="imports"]; - "Semantics.Orchestrate.SigmaDeploy" -> "Semantics.Orchestrate.SigmaDeploy.currentSession" [label="contains"]; - "Semantics.Orchestrate.SigmaDeploy" -> "Semantics.Orchestrate.SigmaDeploy.initiateDeployment" [label="contains"]; - "Semantics.Orchestrate.SigmaDeploy" -> "Semantics.PBACSSignal" [label="imports"]; - "Semantics.Orchestrate" -> "Semantics.Orchestrate.empty" [label="contains"]; - "Semantics.Orchestrate" -> "Semantics.Orchestrate.computeAngularMomentum" [label="contains"]; - "Semantics.Orchestrate" -> "Semantics.Orchestrate.update" [label="contains"]; - "Semantics.Orchestrate" -> "Semantics.Orchestrate.empty" [label="contains"]; - "Semantics.Orchestrate" -> "Semantics.Orchestrate.rawToManifold" [label="contains"]; - "Semantics.Orchestrate" -> "Semantics.Orchestrate.step" [label="contains"]; - "Semantics.Orchestrate" -> "Semantics.Canon" [label="imports"]; - "Semantics.OrderedFieldTokens" -> "Semantics.OrderedFieldTokens.ammrLeafIntegrity" [label="contains"]; - "Semantics.OrderedFieldTokens" -> "Semantics.OrderedFieldTokens.stepCountAdvances" [label="contains"]; - "Semantics.OrderedFieldTokens" -> "Semantics.OrderedFieldTokens.beamSearchInvariant" [label="contains"]; - "Semantics.OrderedFieldTokens" -> "Semantics.OrderedFieldTokens.zero" [label="contains"]; - "Semantics.OrderedFieldTokens" -> "Semantics.OrderedFieldTokens.one" [label="contains"]; - "Semantics.OrderedFieldTokens" -> "Semantics.OrderedFieldTokens.epsilon" [label="contains"]; - "Semantics.OrderedFieldTokens" -> "Semantics.OrderedFieldTokens.ofNat" [label="contains"]; - "Semantics.OrderedFieldTokens" -> "Semantics.OrderedFieldTokens.add" [label="contains"]; - "Semantics.OrderedFieldTokens" -> "Semantics.OrderedFieldTokens.sub" [label="contains"]; - "Semantics.OrderedFieldTokens" -> "Semantics.OrderedFieldTokens.mul" [label="contains"]; - "Semantics.OrderedFieldTokens" -> 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[label="contains"]; - "Semantics.OrderedFieldTokens" -> "Semantics.OrderedFieldTokens.projectionScore" [label="contains"]; - "Semantics.OrderedFieldTokens" -> "Semantics.OrderedFieldTokens.routingScore" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.coeffEnergyConsistent" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.mirrorLutIndexDeterministic" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.commitParentLaw" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.residualEnergy" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.projectionSimilarity" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.coeffEnergy" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.dimensionConsistent" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.energyConsistent" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.basisVectorHash" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.summaryHash" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.commitHash" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.mergeSummary" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.commitParent" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.mirrorLutIndex" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.unitVec" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.leafSummary" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.OrthogonalAmmr.leafNode" [label="contains"]; - "Semantics.OrthogonalAmmr" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.PBACSSignal" -> "Semantics.PBACSSignal.default" [label="contains"]; - "Semantics.PBACSSignal" -> "Semantics.PBACSSignal.nextPhi" [label="contains"]; - "Semantics.PBACSSignal" -> "Semantics.PBACSSignal.getThreshold" [label="contains"]; - "Semantics.PBACSSignal" -> "Semantics.PBACSSignal.update" [label="contains"]; - "Semantics.PBACSSignal" -> "Semantics.PISTMachine" [label="imports"]; - "Semantics.PBACSVerilogEquivalence" -> "Semantics.PBACSVerilogEquivalence.hardwareEquivalence" [label="contains"]; - "Semantics.PBACSVerilogEquivalence" -> "Semantics.PBACSVerilogEquivalence.verilogStep" [label="contains"]; - "Semantics.PBACSVerilogEquivalence" -> "Semantics.PBACSSignal" [label="imports"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.q16_add_comm" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.blendBand_comm" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.kubelkaMunk_comm" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.photonic_roundtrip" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.array_eq_of_toList_eq" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.array_foldl_append_eq_flatMap" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.list_channel_isolation" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.photonic_channel_isolation" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.totalKS_512MACs_value" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.guarantees" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.km_residual_bounds_energy_loss" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.kmResidual_value" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.oberthHighThreshold" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.signalThreshold" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.spectralRadiusToColor" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.colorToShapeName" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.blend_additive" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.blend_rms" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.blend_vortex" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.blendRadii" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.hashMatrix" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.classifyProxy" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.classifyExact" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.spectralProfileToDistribution" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.kubelkaMunkRatio" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.blendBand" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.defaultBand" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.kubelkaMunkBlend" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.photonicDemux" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.photonicMux" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.blendSpectra_additive" [label="contains"]; - "Semantics.PIST.Classify" -> "Semantics.PIST.Classify.blendSpectra_rms" [label="contains"]; - "Semantics.PIST.Matrices250" -> "Semantics.PIST.Matrices250.pistMatrices250" [label="contains"]; - "Semantics.PIST.Matrices250" -> "Semantics.PIST.Matrices250.findMatrix" [label="contains"]; - "Semantics.PIST.Motif" -> "Semantics.PIST.Motif.motifScore_bonus_pos" [label="contains"]; - "Semantics.PIST.Motif" -> "Semantics.PIST.Motif.motifScore_match_ge_base" [label="contains"]; - "Semantics.PIST.Motif" -> "Semantics.PIST.Motif.motifScore_zero_freq_base" [label="contains"]; - "Semantics.PIST.Motif" -> "Semantics.PIST.Motif.motifScore_zero_freq_no_match" [label="contains"]; - "Semantics.PIST.Motif" -> "Semantics.PIST.Motif.motifScore_zero_freq_match_witness" [label="contains"]; - "Semantics.PIST.Motif" -> "Semantics.PIST.Motif.rankMotifs_match_beats_no_match" [label="contains"]; - "Semantics.PIST.Motif" -> "Semantics.PIST.Motif.familyMatchBonus" [label="contains"]; - "Semantics.PIST.Motif" -> "Semantics.PIST.Motif.baseScore" [label="contains"]; - "Semantics.PIST.Motif" -> "Semantics.PIST.Motif.motifScore" [label="contains"]; - "Semantics.PIST.Motif" -> "Semantics.PIST.Motif.mkCandidate" [label="contains"]; - "Semantics.PIST.Motif" -> "Semantics.PIST.Motif.rankMotifs" [label="contains"]; - "Semantics.PIST.Motif" -> "Semantics.PIST.Motif.topKMotifs" [label="contains"]; - "Semantics.PIST.Spectral" -> "Semantics.PIST.Spectral.classifyTacticFromName" [label="contains"]; - "Semantics.PIST.Spectral" -> "Semantics.PIST.Spectral.isqrt" [label="contains"]; - "Semantics.PIST.Spectral" -> "Semantics.PIST.Spectral.getEntry" [label="contains"]; - "Semantics.PIST.Spectral" -> "Semantics.PIST.Spectral.rowSum" [label="contains"]; - "Semantics.PIST.Spectral" -> "Semantics.PIST.Spectral.symmetrize" [label="contains"]; - "Semantics.PIST.Spectral" -> "Semantics.PIST.Spectral.buildLaplacian" [label="contains"]; - "Semantics.PIST.Spectral" -> "Semantics.PIST.Spectral.buildATA" [label="contains"]; - "Semantics.PIST.Spectral" -> "Semantics.PIST.Spectral.normSqRaw" [label="contains"]; - "Semantics.PIST.Spectral" -> "Semantics.PIST.Spectral.matVecMul" [label="contains"]; - "Semantics.PIST.Spectral" -> "Semantics.PIST.Spectral.powerIteration" [label="contains"]; - "Semantics.PIST.Spectral" -> "Semantics.PIST.Spectral.emptyProfile" [label="contains"]; - "Semantics.PIST.Spectral" -> "Semantics.PIST.Spectral.computeSpectral" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.a_add_b" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.mass_eq_zero_iff" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.mass_pos_iff" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.Resonant" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.Resonant" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.Resonant" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.not_fixed_of_nonterminal" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.potential_decreases" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.preservesMass_resonance" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.chosen_transition_decreases" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.chosen_transition_not_fixed" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.n" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.a" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.b" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.mass" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.mirror" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.lower" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.upper" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.Resonant" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.isResonantPair" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.resonance" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.rejection" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.ofCoord" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.potential" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.appendLog" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.penalize" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.accept" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.relocate" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.resonanceJump" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.rejectWithPenalty" [label="contains"]; - "Semantics.PIST" -> "Semantics.PIST.PreservesMass" [label="contains"]; - "Semantics.PIST" -> "Mathlib.Data.Nat.Basic" [label="imports"]; - "Semantics.PISTMachine" -> "Semantics.PISTMachine.mirror_preserves_mass" [label="contains"]; - "Semantics.PISTMachine" -> "Semantics.PISTMachine.zero_mass_iff_square" [label="contains"]; - "Semantics.PISTMachine" -> "Semantics.PISTMachine.a" [label="contains"]; - "Semantics.PISTMachine" -> "Semantics.PISTMachine.b" [label="contains"]; - "Semantics.PISTMachine" -> "Semantics.PISTMachine.hyperbolaIndex" [label="contains"]; - "Semantics.PISTMachine" -> "Semantics.PISTMachine.rho" [label="contains"]; - "Semantics.PISTMachine" -> "Semantics.PISTMachine.classifyPhase" [label="contains"]; - "Semantics.PISTMachine" -> "Semantics.PISTMachine.mirror" [label="contains"]; - "Semantics.PISTMachine" -> "Semantics.PISTMachine.lambda" [label="contains"]; - "Semantics.PISTMachine" -> "Semantics.PISTMachine.PISTLogicalMass" [label="contains"]; - "Semantics.PISTMachine" -> "Semantics.PISTMachine.mirrorPreservesMassMass" [label="contains"]; - "Semantics.PISTMachine" -> "Semantics.PISTMachine.zeroMassIffSquareMass" [label="contains"]; - "Semantics.PISTMachine" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.PVGS_DQ_Bridge" -> "Semantics.PVGS_DQ_Bridge.pvgs_energy_to_dq" [label="contains"]; - "Semantics.PVGS_DQ_Bridge" -> "Semantics.PVGS_DQ_Bridge.hermite_sieve_isomorphism" [label="contains"]; - "Semantics.PVGS_DQ_Bridge" -> "Semantics.PVGS_DQ_Bridge.variety_isomorphism" [label="contains"]; - "Semantics.PVGS_DQ_Bridge" -> "Semantics.PVGS_DQ_Bridge.pvgsToDQ" [label="contains"]; - "Semantics.PVGS_DQ_Bridge" -> "Semantics.PVGS_DQ_Bridge.hermitianRRCKernel" [label="contains"]; - "Semantics.PVGS_DQ_Bridge" -> "Semantics.PVGS_DQ_Bridge.pvgsDQBridgeReceipt" [label="contains"]; - "Semantics.PandigitalEpigeneticSwitch" -> "Semantics.PandigitalEpigeneticSwitch.effectStrength" [label="contains"]; - "Semantics.PandigitalEpigeneticSwitch" -> "Semantics.PandigitalEpigeneticSwitch.effectPolarity" [label="contains"]; - "Semantics.PandigitalEpigeneticSwitch" -> "Semantics.PandigitalEpigeneticSwitch.collapseLandscapeToZN" [label="contains"]; - "Semantics.PandigitalEpigeneticSwitch" -> "Semantics.PandigitalEpigeneticSwitch.encodeEpigeneticSwitch" [label="contains"]; - "Semantics.PandigitalEpigeneticSwitch" -> "Semantics.PandigitalEpigeneticSwitch.decodeEpigeneticSwitch" [label="contains"]; - "Semantics.PandigitalEpigeneticSwitch" -> "Semantics.PandigitalEpigeneticSwitch.deriveSwitchState" [label="contains"]; - "Semantics.PandigitalEpigeneticSwitch" -> "Semantics.PandigitalEpigeneticSwitch.expressionProbability" [label="contains"]; - "Semantics.PandigitalEpigeneticSwitch" -> "Semantics.PandigitalEpigeneticSwitch.transcriptionRate" [label="contains"]; - "Semantics.PandigitalEpigeneticSwitch" -> "Semantics.PandigitalEpigeneticSwitch.calculateMetrics" [label="contains"]; - "Semantics.PandigitalEpigeneticSwitch" -> "Semantics.PandigitalEpigeneticSwitch.exampleActiveGene" [label="contains"]; - "Semantics.PandigitalEpigeneticSwitch" -> "Semantics.PandigitalEpigeneticSwitch.exampleSilentGene" [label="contains"]; - "Semantics.PandigitalEpigeneticSwitch" -> "Semantics.PandigitalEpigeneticSwitch.exampleBivalentGene" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.znRoundTrip" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.cfConvergentToQ16" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.phiConvergents" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.piConvergents" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.selectConvergent" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.encodeZNCompact" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.decodeZNCompact" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.deriveAFromCompact" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.deriveBiasFromCompact" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.reconstructComponent" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.reconstructEigenvectorComponent" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.fromFullComponents" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.reconstructShellAddress" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.deriveMassPhase" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.exampleCompact400k" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.exampleCompactSmall" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.examplePiComponent" [label="contains"]; - "Semantics.PandigitalSpectralMass" -> "Semantics.PandigitalSpectralMass.examplePhiWeightedComponent" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.for" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.p01Stable" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.p02Stable" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.p03Stable" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.p04Stable" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.p05Stable" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.p06Stable" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.p07Stable" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.p08Stable" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.p09Stable" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.p10Stable" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.p11Stable" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.allPredictionsStable" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.p02StabilityRatio" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.p04StabilityRatio" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.p05StabilityRatio" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.lookElsewhereWidth" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.corrFactor" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.derivP01" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.derivP02" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.derivP03" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.derivP04" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.derivP05" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.derivP06" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.derivP07" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.derivP08" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.derivP09" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.derivP10" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.derivP11" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.maxPerturbation" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.sigmaP01" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.sigmaP02" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.sigmaP03" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.sigmaP04" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.sigmaP05" [label="contains"]; - "Semantics.ParameterSensitivity" -> "Semantics.ParameterSensitivity.sigmaP06" [label="contains"]; - "Semantics.PassiveComputation" -> "Semantics.PassiveComputation.routeEqualsCompute" [label="contains"]; - "Semantics.PassiveComputation" -> "Semantics.PassiveComputation.generatedReceiptCommitsEndpoints" [label="contains"]; - "Semantics.PassiveComputation" -> "Semantics.PassiveComputation.passiveComputationIncreasesYield" [label="contains"]; - "Semantics.PassiveComputation" -> "Semantics.PassiveComputation.pathLength" [label="contains"]; - "Semantics.PassiveComputation" -> "Semantics.PassiveComputation.computeRoutingCost" [label="contains"]; - "Semantics.PassiveComputation" -> "Semantics.PassiveComputation.computeDelay" [label="contains"]; - "Semantics.PassiveComputation" -> "Semantics.PassiveComputation.countBoundaryCrossings" [label="contains"]; - "Semantics.PassiveComputation" -> "Semantics.PassiveComputation.isValidPath" [label="contains"]; - "Semantics.PassiveComputation" -> "Semantics.PassiveComputation.computeValueFromTransit" [label="contains"]; - "Semantics.PassiveComputation" -> "Semantics.PassiveComputation.generateReceipt" [label="contains"]; - "Semantics.PassiveComputation" -> "Semantics.PassiveComputation.informationYield" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Path.AtomicPath" [label="contains"]; - "Semantics.Path" -> "Semantics.Graph" [label="imports"]; - "Semantics.Pbacs" -> "Semantics.Pbacs.lookup" [label="contains"]; - "Semantics.Pbacs" -> "Semantics.Pbacs.lookupD" [label="contains"]; - 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"Semantics.RustOISCDecompressor" -> "Semantics.RustOISCDecompressor.truncatedInstructionFailsClosed" [label="contains"]; - "Semantics.RustOISCDecompressor" -> "Semantics.RustOISCDecompressor.trailingAfterFinalFailsClosed" [label="contains"]; - "Semantics.RustOISCDecompressor" -> "Semantics.RustOISCDecompressor.byte" [label="contains"]; - "Semantics.RustOISCDecompressor" -> "Semantics.RustOISCDecompressor.mixByte" [label="contains"]; - "Semantics.RustOISCDecompressor" -> "Semantics.RustOISCDecompressor.initState" [label="contains"]; - "Semantics.RustOISCDecompressor" -> "Semantics.RustOISCDecompressor.nan0State" [label="contains"]; - "Semantics.RustOISCDecompressor" -> "Semantics.RustOISCDecompressor.step" [label="contains"]; - "Semantics.RustOISCDecompressor" -> "Semantics.RustOISCDecompressor.runInstructions" [label="contains"]; - "Semantics.RustOISCDecompressor" -> "Semantics.RustOISCDecompressor.run" [label="contains"]; - "Semantics.RustOISCDecompressor" -> 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"Semantics.RustOISCDecompressor" -> "Semantics.RustOISCDecompressor.instrC" [label="contains"]; - "Semantics.RustOISCDecompressor" -> "Semantics.RustOISCDecompressor.instrHighResidual" [label="contains"]; - "Semantics.RustOISCDecompressor" -> "Semantics.RustOISCDecompressor.instrWrapFinal" [label="contains"]; - "Semantics.S3C" -> "Semantics.S3C.shellDecompositionCorrect" [label="contains"]; - "Semantics.S3C" -> "Semantics.S3C.bPlusEqualsBZeroPlusOne" [label="contains"]; - "Semantics.S3C" -> "Semantics.S3C.massZeroIsIntersectionForm" [label="contains"]; - "Semantics.S3C" -> "Semantics.S3C.massPlusIsIntersectionForm" [label="contains"]; - "Semantics.S3C" -> "Semantics.S3C.closedWidthTheorem" [label="contains"]; - "Semantics.S3C" -> "Semantics.S3C.throatAtShellMidpoint" [label="contains"]; - "Semantics.S3C" -> "Semantics.S3C.emitGateSimplified" [label="contains"]; - "Semantics.S3C" -> "Semantics.S3C.shellDecompositionCorrect_domain" [label="contains"]; - "Semantics.S3C" -> 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"Semantics.SSMS.poolRank" [label="contains"]; - "Semantics.SSMS" -> "Semantics.SSMS.SubleqCore" [label="contains"]; - "Semantics.SSMS" -> "Semantics.SSMS.SubleqCore" [label="contains"]; - "Semantics.SSMS" -> "Semantics.SSMS.SubleqCore" [label="contains"]; - "Semantics.SSMS" -> "Semantics.SSMS.ioIn" [label="contains"]; - "Semantics.SSMS" -> "Semantics.SSMS.ioOut" [label="contains"]; - "Semantics.SSMS" -> "Semantics.SSMS.sVal" [label="contains"]; - "Semantics.SSMS" -> "Semantics.SSMS.sigmaPort" [label="contains"]; - "Semantics.SSMS" -> "Semantics.SSMS.energyPort" [label="contains"]; - "Semantics.SSMS" -> "Semantics.SSMS.tauSpawn" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.scalarCountMonotonic" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.scalarCount" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.nMax" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.validN" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.pool1D" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.lift1DToN" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.approxInverseChart" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.constraintResidual" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.constraintsSatisfied" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.constraintPotential" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.projectDown" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.dynamicCenterDist" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.dynamicACI" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.dynamicSuppresses" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.manifoldsOfDim" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.bettiSwooshND" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.dimensionPotential" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.totalPotentialWithDim" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.liftKernel" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.constrainKernel" [label="contains"]; - "Semantics.SSMS_nD" -> "Semantics.SSMS_nD.varDimMemoryLayout" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.checkLegitimateImprovement" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.checkResourceStarvation" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.checkNetworkConnectivity" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.checkKnowledgeIntegrity" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.checkServiceDisruptionBenefit" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.checkSynchronizationStability" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.checkNoInfluenceSeeking" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.isResourceStarvation" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.isDataCorruption" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.isNetworkPartition" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.isSynchronizationAttack" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.isInfluenceSeeking" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.sabotageBind" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.checkConsistency" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.checkCompleteness" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.systemSelfReference" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.godelNumber" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.isRestorationWarranted" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.SabotagePrevention.evaluateRestorationBenefit" [label="contains"]; - "Semantics.SabotagePrevention" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.ScalarCollapse" -> "Semantics.ScalarCollapse.no_scalar_without_atomic_ancestry" [label="contains"]; - "Semantics.ScalarCollapse" -> "Semantics.ScalarCollapse.no_scalar_without_lawful_history" [label="contains"]; - "Semantics.ScalarCollapse" -> "Semantics.ScalarCollapse.no_scalar_without_load_visibility" [label="contains"]; - "Semantics.ScalarCollapse" -> "Semantics.ScalarCollapse.no_scalar_without_capability_visibility" [label="contains"]; - "Semantics.ScalarCollapse" -> "Semantics.ScalarCollapse.exact_collapse_matches_policy" [label="contains"]; - "Semantics.ScalarCollapse" -> "Semantics.ScalarCollapse.collapse_policy_preserves_required_invariants" [label="contains"]; - "Semantics.ScalarCollapse" -> "Semantics.ScalarCollapse.collapse_preserves_universality_requirement" [label="contains"]; - "Semantics.ScalarCollapse" -> "Semantics.ScalarCollapse.ScalarAdmissible" [label="contains"]; - "Semantics.ScalarCollapse" -> "Semantics.Decomposition" [label="imports"]; - "Semantics.ScalarEventProjection" -> "Semantics.ScalarEventProjection.sameEntropyFeedsAllLanes" [label="contains"]; - "Semantics.ScalarEventProjection" -> "Semantics.ScalarEventProjection.multiProjectionMoreStructure" [label="contains"]; - "Semantics.ScalarEventProjection" -> "Semantics.ScalarEventProjection.multiProjectionHasThreeValidLanes" [label="contains"]; - "Semantics.ScalarEventProjection" -> "Semantics.ScalarEventProjection.failureModeRouting" [label="contains"]; - "Semantics.ScalarEventProjection" -> "Semantics.ScalarEventProjection.computeCalculationProjection" [label="contains"]; - "Semantics.ScalarEventProjection" -> "Semantics.ScalarEventProjection.computeDefenseProjection" [label="contains"]; - "Semantics.ScalarEventProjection" -> "Semantics.ScalarEventProjection.computeVerificationProjection" [label="contains"]; - "Semantics.ScalarEventProjection" -> "Semantics.ScalarEventProjection.computeMultiProjection" [label="contains"]; - "Semantics.ScalarEventProjection" -> "Semantics.ScalarEventProjection.applyValueGate" [label="contains"]; - "Semantics.ScalarEventProjection" -> "Semantics.ScalarEventProjection.projectionYield" [label="contains"]; - "Semantics.ScalarEventProjection" -> "Semantics.ScalarEventProjection.multiProjectionYield" [label="contains"]; - "Semantics.ScalarEventProjection" -> "Semantics.ScalarEventProjection.exampleScalarEvent" [label="contains"]; - "Semantics.Scratch" -> "Semantics.Scratch.create" [label="contains"]; - "Semantics.Scratch" -> "Semantics.Scratch.send" [label="contains"]; - "Semantics.Scratch" -> "Semantics.Scratch.receive" [label="contains"]; - "Semantics.Scratch" -> "Semantics.Scratch.deliver" [label="contains"]; - "Semantics.Scratch" -> "Semantics.Scratch.flushOutbox" [label="contains"]; - "Semantics.Scratch" -> "Semantics.Scratch.inboxSize" [label="contains"]; - "Semantics.Scratch" -> "Semantics.Scratch.empty" [label="contains"]; - "Semantics.Scratch" -> "Semantics.Scratch.registerMailbox" [label="contains"]; - "Semantics.Scratch" -> "Semantics.Scratch.findMailbox" [label="contains"]; - "Semantics.Scratch" -> "Semantics.Scratch.updateMailbox" [label="contains"]; - "Semantics.Scratch" -> "Semantics.Scratch.deliveryCycle" [label="contains"]; - "Semantics.Scratch" -> "Semantics.Scratch.totalPending" [label="contains"]; - "Semantics.Scratch" -> "Semantics.Hardware.AgenticHardware" [label="imports"]; - "Semantics.Search" -> "Semantics.Search.phiWeights" [label="contains"]; - "Semantics.Search" -> "Semantics.Search.q16_16_of_nat" [label="contains"]; - "Semantics.Search" -> "Semantics.Search.queryVector" [label="contains"]; - "Semantics.Search" -> "Semantics.Search.weightedDot" [label="contains"]; - "Semantics.Search" -> "Semantics.Search.weightedMag" [label="contains"]; - "Semantics.Search" -> "Semantics.Search.similarity" [label="contains"]; - "Semantics.Search" -> "Semantics.Search.rrfScore" [label="contains"]; - "Semantics.Search" -> "Semantics.Search.similarityThreshold" [label="contains"]; - "Semantics.Search" -> "Semantics.Search.rrfK" [label="contains"]; - "Semantics.Search" -> "Semantics.Search.hybridSearch" [label="contains"]; - "Semantics.Search" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.Selfies" -> "Semantics.Selfies.notValidEmpty" [label="contains"]; - "Semantics.Selfies" -> "Semantics.Selfies.validCarbon" [label="contains"]; - "Semantics.Selfies" -> "Semantics.Selfies.validEthanol" [label="contains"]; - "Semantics.Selfies" -> "Semantics.Selfies.validCO2" [label="contains"]; - "Semantics.Selfies" -> "Semantics.Selfies.parseAtomSymbol" [label="contains"]; - "Semantics.Selfies" -> "Semantics.Selfies.parse" [label="contains"]; - "Semantics.Selfies" -> "Semantics.Selfies.isValid" [label="contains"]; - "Semantics.Selfies" -> "Semantics.Selfies.smilesAtomToSelfies" [label="contains"]; - "Semantics.Selfies" -> "Semantics.Selfies.smilesBondToSelfies" [label="contains"]; - "Semantics.Selfies" -> "Semantics.Selfies.fromSmiles" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.massInvariantUnderDomainTranslation" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.semanticAttraction_nonneg" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.semanticInertia_nonneg" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.semanticMassChange_nonpos" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.semanticMassChange_pos" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.massNonneg" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.semanticEnergy" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.semanticAttraction" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.semanticInertia" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.semanticMassChange" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.massVectorOf" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.fammWeight" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.rrcWeight" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.massFromSidonSignature" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.weightedMass" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.semanticMassOf" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.massDistance" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.routeScore" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.couplingStrength" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.semanticWeight" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.massAfterCoupling" [label="contains"]; - "Semantics.SemanticMass" -> "Semantics.SemanticMass.imaginaryUnitSemanticMass" [label="contains"]; - "Semantics.SemanticRGFlow" -> "Semantics.SemanticRGFlow.attractorDescent" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.isRfBand" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.isOpticalBand" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.modalityBandCompatible" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.intensityWithinWindow" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.bandAccepted" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.sampleCompatibleWithField" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.sampleCompatibleWithBoundary" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.sampleCompatibleWithLink" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.deriveErrorField" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.classifyErrorDisposition" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.assessSensorError" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.classifyDetectionClass" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.classifySensorRegime" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.detectionConfidence" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.detectSample" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.channelSupportsDetection" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.fieldAdmitsTransition" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.wifiSensorField" [label="contains"]; - "Semantics.SensorField" -> "Semantics.SensorField.opticalProbeField" [label="contains"]; - "Semantics.SensorField" -> "Semantics.PhysicsScalar" [label="imports"]; - "Semantics.ShellModel" -> "Semantics.ShellModel.isqrt" [label="contains"]; - "Semantics.ShellModel" -> "Semantics.ShellModel.shellState" [label="contains"]; - "Semantics.ShellModel" -> "Semantics.ShellModel.classifyEvent" [label="contains"]; - "Semantics.ShellModel" -> "Semantics.ShellModel.tipCoord" [label="contains"]; - "Semantics.ShellModel" -> "Semantics.ShellModel.eventAt" [label="contains"]; - "Semantics.ShellModel" -> "Semantics.ShellModel.SpectralSignature" [label="contains"]; - "Semantics.ShellModel" -> "Semantics.ShellModel.SpectralSignature" [label="contains"]; - "Semantics.ShellModel" -> "Semantics.ShellModel.tailWeight" [label="contains"]; - "Semantics.ShellModel" -> "Semantics.ShellModel.clampInt" [label="contains"]; - "Semantics.ShellModel" -> "Semantics.ShellModel.phaseFromTipAndInteraction" [label="contains"]; - "Semantics.ShellModel" -> "Semantics.ShellModel.indexBitFromInteraction" [label="contains"]; - "Semantics.ShortestObservableTime" -> "Semantics.ShortestObservableTime.for" [label="contains"]; - "Semantics.ShortestObservableTime" -> "Semantics.ShortestObservableTime.planckTimePositive" [label="contains"]; - "Semantics.ShortestObservableTime" -> "Semantics.ShortestObservableTime.secondsIn61YearsPositive" [label="contains"]; - "Semantics.ShortestObservableTime" -> "Semantics.ShortestObservableTime.thermalMinTimePositive" [label="contains"]; - "Semantics.ShortestObservableTime" -> "Semantics.ShortestObservableTime.hbarSI" [label="contains"]; - "Semantics.ShortestObservableTime" -> "Semantics.ShortestObservableTime.planckEnergyJ" [label="contains"]; - "Semantics.ShortestObservableTime" -> "Semantics.ShortestObservableTime.heisenbergMinTime" [label="contains"]; - "Semantics.ShortestObservableTime" -> "Semantics.ShortestObservableTime.planckTimeFromHeisenberg" [label="contains"]; - "Semantics.ShortestObservableTime" -> "Semantics.ShortestObservableTime.nuclearMinTime" [label="contains"]; - "Semantics.ShortestObservableTime" -> "Semantics.ShortestObservableTime.atomicMinTime" [label="contains"]; - "Semantics.ShortestObservableTime" -> "Semantics.ShortestObservableTime.thermalMinTime" [label="contains"]; - "Semantics.ShortestObservableTime" -> "Semantics.ShortestObservableTime.ecologicalMinTime" [label="contains"]; - "Semantics.ShortestObservableTime" -> "Semantics.ShortestObservableTime.planckTicksIn61Years" [label="contains"]; - "Semantics.ShortestObservableTime" -> "Semantics.ShortestObservableTime.thermalTicksIn61Years" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.sidonAVM_eq_generateSidonFuel" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.sidonAVM_isSidonList" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.sidonAVM_terminates" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.maxSidonSize" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.memTarget" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.memCurrentLen" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.memCurrentBase" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.memCandidate" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.memCanAdd" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.memLoopI" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.memLoopJ" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.memTempSum" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.memTempFlag" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.initMemory" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.readNat" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.readCurrent" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.readCandidate" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.sidonCheckDone" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.sidonTryAdd" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.sidonIncrementCandidate" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.sidonStep" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.sidonRun" [label="contains"]; - "Semantics.SidonAVM" -> "Semantics.SidonAVM.sidonProgram" [label="contains"]; - "Semantics.SidonAVM" -> "Mathlib.Data.Set.Basic" [label="imports"]; - "Semantics.SidonSet" -> "Semantics.SidonSet.isSidon" [label="contains"]; - "Semantics.SidonSet" -> "Semantics.SidonSet.pairwiseSums" [label="contains"]; - "Semantics.SidonSet" -> "Semantics.SidonSet.canAdd" [label="contains"]; - "Semantics.SidonSet" -> "Semantics.SidonSet.generateSidonFuel" [label="contains"]; - "Semantics.SidonSet" -> "Semantics.SidonSet.main" [label="contains"]; - "Semantics.SidonSet" -> "Mathlib.Data.Set.Basic" [label="imports"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.IsSidonMod" [label="contains"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.IsIntervalSidon" [label="contains"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.IsSidon" [label="contains"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.sidonMaximum_exists" [label="contains"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.sidonMaximum_isSidonMaximum" [label="contains"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.isSidonMaximum_unique" [label="contains"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.IsIntervalSidon" [label="contains"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.sidonMaximum_le_sqrt_two" [label="contains"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.sortedLT_take_lt_drop" [label="contains"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.IsSidon" [label="contains"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.IsIntervalSidon" [label="contains"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.IsIntervalSidon" [label="contains"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.IsSidon" [label="contains"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.johnson_numerical" [label="contains"]; - "Semantics.SidonSets" -> "Semantics.SidonSets.incidence_inequality" [label="contains"]; - "Semantics.SidonSets" -> 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"Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.witnessCount" [label="contains"]; - "Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.beta0" [label="contains"]; - "Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.bettiPositive" [label="contains"]; - "Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.unboundedWitnesses" [label="contains"]; - "Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.ghostObstruction" [label="contains"]; - "Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.tunedObstruction" [label="contains"]; - "Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.tunedWitnessRegion" [label="contains"]; - "Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.embedNat" [label="contains"]; - "Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.firstWitnesses" [label="contains"]; - "Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.firstCovered" [label="contains"]; - "Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.repunit" [label="contains"]; - "Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.expT" [label="contains"]; - "Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.expU" [label="contains"]; - "Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.expS" [label="contains"]; - "Semantics.SpherionTwinPrime" -> "Semantics.SpherionTwinPrime.expP" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.defaultMembraneState" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.defaultSpikingApiSurface" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.eventCompatibleWithEm" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.eventCompatibleWithTemporal" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.eventCompatibleWithRegion" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.apiAllowsTransition" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.integratePotential" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.applyLeak" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.applyRefractoryClamp" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.membraneReadyToFire" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.classifySpikingRegime" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.gatedIntensity" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.nextEventFromNode" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.updateNodeAfterEmission" [label="contains"]; - "Semantics.SpikingDynamics" -> "Semantics.SpikingDynamics.processSpikeTransition" [label="contains"]; 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"Semantics.SubagentOrchestrator" -> "Semantics.SubagentOrchestrator.domainExpertAnalyze" [label="contains"]; - "Semantics.SubagentOrchestrator" -> "Semantics.SubagentOrchestrator.codebaseExpertAnalyze" [label="contains"]; - "Semantics.SubagentOrchestrator" -> "Semantics.SubagentOrchestrator.integrationAnalystAnalyze" [label="contains"]; - "Semantics.SubagentOrchestrator" -> "Semantics.SubagentOrchestrator.prioritySchedulerFilter" [label="contains"]; - "Semantics.SubagentOrchestrator" -> "Semantics.SubagentOrchestrator.runSubagentAnalysis" [label="contains"]; - "Semantics.SubagentOrchestrator" -> "Semantics.SubagentOrchestrator.currentSubagentSystem" [label="contains"]; - "Semantics.SubagentOrchestrator" -> "Semantics.SubagentOrchestrator.improvementMap" [label="contains"]; - "Semantics.SubagentOrchestrator" -> "Semantics.SubagentOrchestrator.priority1_FAMMThermoBridge" [label="contains"]; - "Semantics.SubagentOrchestrator" -> "Semantics.SubagentOrchestrator.priority2_ExpSpatialHybrid" 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-> "Semantics.Surface.phiShellEncodingIsGeometric" [label="contains"]; - "Semantics.Surface" -> "Semantics.Surface.goldenAngleEncodingIsGeometric" [label="contains"]; - "Semantics.Surface" -> "Semantics.Surface.fibonacciEncodingIsInformational" [label="contains"]; - "Semantics.Surface" -> "Semantics.Surface.bindClass" [label="contains"]; - "Semantics.Surface" -> "Semantics.Surface.isTransportBoundary" [label="contains"]; - "Semantics.Surface" -> "Semantics.Surface.invariantTag" [label="contains"]; - "Semantics.Surface" -> "Semantics.Surface.receiptFor" [label="contains"]; - "Semantics.Surface" -> "Semantics.SurfaceCore" [label="imports"]; - "Semantics.SurfaceCore" -> "Semantics.SurfaceCore.surfaceInvariant" [label="contains"]; - "Semantics.SurfaceCore" -> "Semantics.SurfaceCore.divergence" [label="contains"]; - "Semantics.SurfaceCore" -> "Semantics.SurfaceCore.curvature" [label="contains"]; - "Semantics.SurfaceCore" -> "Semantics.SurfaceCore.stabilityClass" [label="contains"]; - 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"Semantics.SwarmCodeGeneration" -> "Semantics.SwarmCodeGeneration.runPipeline" [label="contains"]; - "Semantics.SwarmCodeGeneration" -> "Semantics.SwarmCodeGeneration.initializeSwarm" [label="contains"]; - "Semantics.SwarmCodeGeneration" -> "Semantics.SwarmCodeGeneration.sendMessage" [label="contains"]; - "Semantics.SwarmCodeGeneration" -> "Semantics.SwarmCodeGeneration.processMessages" [label="contains"]; - "Semantics.SwarmCodeReview" -> "Semantics.SwarmCodeReview.zero" [label="contains"]; - "Semantics.SwarmCodeReview" -> "Semantics.SwarmCodeReview.one" [label="contains"]; - "Semantics.SwarmCodeReview" -> "Semantics.SwarmCodeReview.ofNat" [label="contains"]; - "Semantics.SwarmCodeReview" -> "Semantics.SwarmCodeReview.toNat" [label="contains"]; - "Semantics.SwarmCodeReview" -> "Semantics.SwarmCodeReview.exampleReport" [label="contains"]; - "Semantics.SwarmCodeReview" -> "Mathlib.Data.Nat.Basic" [label="imports"]; - "Semantics.SwarmCompetition" -> 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"Semantics.TileStateMachine" -> "Semantics.TileStateMachine.wouldRepeatShape" [label="contains"]; - "Semantics.TileStateMachine" -> "Semantics.TileStateMachine.canTransition" [label="contains"]; - "Semantics.TileStateMachine" -> "Semantics.TileStateMachine.flipTile" [label="contains"]; - "Semantics.TileStateMachine" -> "Semantics.TileStateMachine.createEmptyGrid" [label="contains"]; - "Semantics.Timing" -> "Semantics.Timing.tBaseCAS" [label="contains"]; - "Semantics.Timing" -> "Semantics.Timing.tBaseREF" [label="contains"]; - "Semantics.Timing" -> "Semantics.Timing.tBaseHammer" [label="contains"]; - "Semantics.Timing" -> "Semantics.Timing.tMinFactor" [label="contains"]; - "Semantics.Timing" -> "Semantics.Timing.clampFactor" [label="contains"]; - "Semantics.Timing" -> "Semantics.Timing.maxRefreshFactor" [label="contains"]; - "Semantics.Timing" -> "Semantics.Timing.calculateTCL" [label="contains"]; - "Semantics.Timing" -> "Semantics.Timing.calculateMRE" [label="contains"]; - "Semantics.Timing" -> "Semantics.Timing.calculateDLL" [label="contains"]; - "Semantics.Timing" -> "Semantics.Timing.deriveTiming" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.for" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.corr1Loop_identity" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.corr2Loop_identity" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.alphaT_identity" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.oneOverAlphaT_identity" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.zMenger_corrected_identity" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.grade_speciesArea" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.grade_mottCriterion" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.grade_largeError" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.zMenger" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.alphaFS" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.corr1Loop" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.corr2Loop" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.alphaT" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.oneOverAlphaT" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.zTolerance" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.sweetSpotLower" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.sweetSpotUpper" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.gradeThresholds" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.gradeFromError" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.dislocationCorrect" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.dislocationCorrect2Loop" [label="contains"]; - "Semantics.Toolkit" -> "Semantics.Toolkit.mengerPeriod" [label="contains"]; - "Semantics.TopologicalAwareness" -> "Semantics.TopologicalAwareness.geometricPrimitivesDatabase" [label="contains"]; - "Semantics.TopologicalAwareness" -> "Semantics.TopologicalAwareness.initializePrimitiveLUT" [label="contains"]; - "Semantics.TopologicalAwareness" -> "Semantics.TopologicalAwareness.computeEulerCharacteristic" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.fusionSpaceDim_four" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.fusionSpaceDim_five" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.fusionSpaceDim_six" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.fusionSpaceDim_eight" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.stableSignal_implies_coherent" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> 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"Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.crossingToSLUG3" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.identitySLUG3" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.composeSLUG3" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.braidToSLUG3" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.sampleToSLUG3" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.accumulatedPhase" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.q016ToFix16" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.computeW" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.colorRopeToDualQuat" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.stateSampleToDualQuat" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.liftDQWithMass" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.topologicalCharge" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.sampleTopologicalCharge" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.TopologicalBraidAdapter.hasQuantumDimension" [label="contains"]; - "Semantics.TopologicalBraidAdapter" -> "Semantics.HydrogenicPhiTorsionBraid" [label="imports"]; - "Semantics.TopologicalPersistence" -> "Semantics.TopologicalPersistence.topologicalBind_selfLawful" [label="contains"]; - "Semantics.TopologicalPersistence" -> "Semantics.TopologicalPersistence.barcodeDistance_selfZero" [label="contains"]; - "Semantics.TopologicalPersistence" -> 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"Semantics.TopologicalPersistence.sampleBarcode2" [label="contains"]; - "Semantics.TopologicalPersistence" -> "Semantics.Bind" [label="imports"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.NibbleSwitch" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.NibbleSwitch" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.transition_register_injective" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.transition_register_bijective" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.replay_length" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.replay_deterministic" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.register_update_surjective" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.NibbleSwitch" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.NibbleSwitch" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.LocusModulus" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.ManifoldPoint" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.ManifoldPoint" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.ManifoldPoint" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.EnglishForm" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.englishFormCounts" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.eulerCharacteristic" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.Trajectory" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.countLoops" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.productionHardware" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.HardwareSurface" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.CompressionObjective" [label="contains"]; - "Semantics.TopologicalStateMachine" -> "Semantics.TopologicalStateMachine.selfReferential" [label="contains"]; - "Semantics.TopologyDlessScalar" -> "Semantics.TopologyDlessScalar.omega_positive" [label="contains"]; - "Semantics.TopologyDlessScalar" -> "Semantics.TopologyDlessScalar.warped_distance_monotonic" [label="contains"]; - "Semantics.TopologyDlessScalar" -> 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"Semantics.TopologyDlessScalar.computeTopologyOmega" [label="contains"]; - "Semantics.TopologyDlessScalar" -> "Semantics.TopologyDlessScalar.createWarpedTopologyEquation" [label="contains"]; - "Semantics.TopologyDlessScalar" -> "Semantics.TopologyDlessScalar.omegaSearchResult" [label="contains"]; - "Semantics.TopologyDlessScalar" -> "Semantics.TopologyDlessScalar.sortOmegaResults" [label="contains"]; - "Semantics.TopologyDlessScalar" -> "Semantics.TopologyDlessScalar.eulerCharacteristicOmega" [label="contains"]; - "Semantics.TopologyDlessScalar" -> "Semantics.TopologyDlessScalar.symplecticFormOmega" [label="contains"]; - "Semantics.TopologyDlessScalar" -> "Semantics.TopologyDlessScalar.entropyVectorOmega" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.compatibility_reflexive" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.compatibility_symmetric" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.full_bidirectional_coverage" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.math_has_most_topology_domains" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.alignTopologyDomain" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.reverseAlignTopologyDomain" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.domainsCompatible" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.alignmentIsBidirectional" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.countMappingsToMOIM" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.bidirectionalCoverage" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.tagEulerCharacteristicDomain" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.tagEntropyVectorDomain" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.tagSymplecticFormDomain" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.createTaggedEquation" [label="contains"]; - "Semantics.TopologyDomainAlignment" -> "Semantics.TopologyDomainAlignment.crossDomainTopologySearch" [label="contains"]; - "Semantics.TopologyFractalEncoding" -> "Semantics.TopologyFractalEncoding.subtree_fold_empty" [label="contains"]; - "Semantics.TopologyFractalEncoding" -> "Semantics.TopologyFractalEncoding.integrity_reflexive_leaf" [label="contains"]; - "Semantics.TopologyFractalEncoding" -> "Semantics.TopologyFractalEncoding.manifold_distance_nonnegative" [label="contains"]; - "Semantics.TopologyFractalEncoding" -> "Semantics.TopologyFractalEncoding.computeSubtreeFold" [label="contains"]; - "Semantics.TopologyFractalEncoding" -> "Semantics.TopologyFractalEncoding.verifyIntegrity" [label="contains"]; - "Semantics.TopologyFractalEncoding" -> "Semantics.TopologyFractalEncoding.manifoldDistance" [label="contains"]; - "Semantics.TopologyFractalEncoding" -> "Semantics.TopologyFractalEncoding.foldTopologyDescription" [label="contains"]; - "Semantics.TopologyFractalEncoding" -> "Semantics.TopologyFractalEncoding.foldSubtree" [label="contains"]; - "Semantics.TopologyFractalEncoding" -> "Semantics.TopologyFractalEncoding.insert" [label="contains"]; - "Semantics.TopologyFractalEncoding" -> "Semantics.TopologyFractalEncoding.spiralSearch" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.golden_angle_approx_137_5" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.spiral_radius_nonnegative" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.advance_increments_step_count" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.q0Sqrt" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.q0ToNat" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.goldenAngleQ0" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.spiralToCartesian" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.cartesianToSpiral" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.genusToSpiral" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.batchGenusToSpiral" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.initNavigator" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.advanceNavigator" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.withinRadius" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.spiralSearch" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.genusToParameterSpace" [label="contains"]; - "Semantics.TopologyGoldenSpiral" -> "Semantics.TopologyGoldenSpiral.searchOptimalGenus" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.failedNodeCannotRunService" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.failedNodeCannotBind" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.halfQ" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.quarterQ" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.ofFracQ" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.HardwareCapability" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.serviceRequirements" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.serviceCost" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.maxEnergyFor" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.energyRecoveryRate" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.initNode" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.canRunService" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.deductEnergy" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.recoverEnergy" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.canAcceptBind" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.exampleCoreNode" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.exampleJudgeHost" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.exampleMirrorNode" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.exampleEdgeNode" [label="contains"]; - "Semantics.TopologyNode" -> "Semantics.TopologyNode.exampleFoxTopNode" [label="contains"]; - "Semantics.TopologyOptimization" -> "Semantics.TopologyOptimization.runSampleOptimization" [label="contains"]; - "Semantics.TopologyOptimization" -> "Semantics.FixedPoint" [label="imports"]; - "Semantics.TopologyPhinary" -> "Semantics.TopologyPhinary.round_trip_conversion" [label="contains"]; - "Semantics.TopologyPhinary" -> "Semantics.TopologyPhinary.valid_phinary_constraint" [label="contains"]; - "Semantics.TopologyPhinary" -> "Semantics.TopologyPhinary.phinary_add_commutative" [label="contains"]; - "Semantics.TopologyPhinary" -> "Semantics.TopologyPhinary.fib" [label="contains"]; - "Semantics.TopologyPhinary" -> 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Authors: Research Stack Team AVMR.lean \u2014 Algebraic Vector Mountain Range (Core) This is the reduced core module for the AVMR framework. Component definitions are modularized.", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 2, - "struct_count": 0, - "inductive_count": 0, - "line_count": 73 - }, - { - "kind": "theorem", - "id": "Semantics.AVMR.resonanceHubDegeneracy", - "name": "resonanceHubDegeneracy", - "module": "Semantics.AVMR" - }, - { - "kind": "theorem", - "id": "Semantics.AVMR.axialGeneratorExhaustivity", - "name": "axialGeneratorExhaustivity", - "module": "Semantics.AVMR" - }, - { - "kind": "def", - "id": "Semantics.AVMR.hyperbolaIndex", - "name": "hyperbolaIndex", - "module": "Semantics.AVMR" - }, - { - "kind": "def", - "id": "Semantics.AVMR.vectorField", - "name": "vectorField", - "module": "Semantics.AVMR" - }, - { - "kind": "module", - "id": "Semantics.AVMRClassification", - "name": "AVMRClassification", - "path": "Semantics/AVMRClassification.lean", - "namespace": "", - "doc": "Event classification to DNA bases. Split from AVMRProofs.lean per swarm suggestion (USER AUTHORIZED).", - "math_kind": "rrc", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 1, - "struct_count": 0, - "inductive_count": 1, - "line_count": 28 - }, - { - "kind": "def", - "id": "Semantics.AVMRClassification.classifyEvent", - "name": "classifyEvent", - "module": "Semantics.AVMRClassification" - }, - { - "kind": "mathlib", - "id": "Mathlib", - "name": "Mathlib" - }, - { - "kind": "module", - "id": "Semantics.AVMRCore", - "name": "AVMRCore", - "path": "Semantics/AVMRCore.lean", - "namespace": "", - "doc": "Shell decomposition foundation structures and functions. Split from AVMRProofs.lean per swarm suggestion (USER AUTHORIZED).", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 1, - "struct_count": 2, - "inductive_count": 0, - "line_count": 52 - }, - { - "kind": "theorem", - "id": "Semantics.AVMRCore.squareShellIdentity", - "name": "squareShellIdentity", - "module": "Semantics.AVMRCore" - }, - { - "kind": "theorem", - "id": "Semantics.AVMRCore.complementaryIdentity", - "name": "complementaryIdentity", - "module": "Semantics.AVMRCore" - }, - { - "kind": "def", - "id": "Semantics.AVMRCore.shellState", - "name": "shellState", - "module": "Semantics.AVMRCore" - }, - { - "kind": "module", - "id": "Semantics.AVMRInformation", - "name": "AVMRInformation", - "path": "Semantics/AVMRInformation.lean", - "namespace": "", - "doc": "Information-theoretic consequences and genetic code connections. Split from AVMRProofs.lean per swarm suggestion (USER AUTHORIZED).", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 2, - "struct_count": 0, - "inductive_count": 1, - "line_count": 152 - }, - { - "kind": "theorem", - "id": "Semantics.AVMRInformation.shellEntropyBound", - "name": "shellEntropyBound", - "module": "Semantics.AVMRInformation" - }, - { - "kind": "theorem", - "id": "Semantics.AVMRInformation.totalCodons", - "name": "totalCodons", - "module": "Semantics.AVMRInformation" - }, - { - "kind": "theorem", - "id": "Semantics.AVMRInformation.avgDegeneracyCloseToE", - "name": "avgDegeneracyCloseToE", - "module": "Semantics.AVMRInformation" - }, - { - "kind": "def", - "id": "Semantics.AVMRInformation.shellEntropy", - "name": "shellEntropy", - "module": "Semantics.AVMRInformation" - }, - { - "kind": "def", - "id": "Semantics.AVMRInformation.degeneracy", - "name": "degeneracy", - "module": "Semantics.AVMRInformation" - }, - { - "kind": "module", - "id": "Semantics.AVMRProofs", - "name": "AVMRProofs", - "path": "Semantics/AVMRProofs.lean", - "namespace": "", - "doc": "AVMR (Algebraic Vector Mountain Range) - Proof Completion ======================================================== This module re-exports the three admitted AVMR theorems from split modules: 1. tipCoordinateMassResonance - Shell position determines mass resonance 2. fortyFiveLineFactorRevelation - T", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 0, - "struct_count": 0, - "inductive_count": 0, - "line_count": 34 - }, - { - "kind": "module", - "id": "Semantics.AVMRTheorems", - "name": "AVMRTheorems", - "path": "Semantics/AVMRTheorems.lean", - "namespace": "", - "doc": "The three main AVMR theorems: Tip Coordinate Mass Resonance, 45\u00b0 Line Factor Revelation, and Missing Link ODE. Split from AVMRProofs.lean per swarm suggestion (USER AUTHORIZED).", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 10, - "def_count": 0, - "struct_count": 0, - "inductive_count": 0, - "line_count": 333 - }, - { - "kind": "theorem", - "id": "Semantics.AVMRTheorems.tipCoordinateMassResonance", - "name": "tipCoordinateMassResonance", - "module": "Semantics.AVMRTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AVMRTheorems.massMidpoint", - "name": "massMidpoint", - "module": "Semantics.AVMRTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AVMRTheorems.fortyFiveLineFactorRevelation", - "name": "fortyFiveLineFactorRevelation", - "module": "Semantics.AVMRTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AVMRTheorems.pronicFactorization", - "name": "pronicFactorization", - "module": "Semantics.AVMRTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AVMRTheorems.fortyFiveLineIsGC", - "name": "fortyFiveLineIsGC", - "module": "Semantics.AVMRTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AVMRTheorems.missingLinkODE", - "name": "missingLinkODE", - "module": "Semantics.AVMRTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AVMRTheorems.gradientFlowForm", - "name": "gradientFlowForm", - "module": "Semantics.AVMRTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AVMRTheorems.vectorField\u211d_lipschitz", - "name": "vectorField\u211d_lipschitz", - "module": "Semantics.AVMRTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AVMRTheorems.base_dynamics", - "name": "base_dynamics", - "module": "Semantics.AVMRTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AVMRTheorems.ode_existence", - "name": "ode_existence", - "module": "Semantics.AVMRTheorems" - }, - { - "kind": "module", - "id": "Semantics.AbelianSandpileRouting", - "name": "AbelianSandpileRouting", - "path": "Semantics/AbelianSandpileRouting.lean", - "namespace": "Semantics.AbelianSandpileRouting", - "doc": "# Abelian Sandpile Routing This module isolates the algebraic core of the proposed \"Millennium problem as routing\" framing. A neural sandpile state is represented as an integer-valued chip/load assignment over a finite neuron set. A firing/toppling at one neuron is a routing operator induced by a", - "math_kind": "routing", - "sorry_count": 0, - "theorem_count": 10, - "def_count": 17, - "struct_count": 4, - "inductive_count": 3, - "line_count": 426 - }, - { - "kind": "theorem", - "id": "Semantics.AbelianSandpileRouting.refineModeWithForest_close_verified", - "name": "refineModeWithForest_close_verified", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "theorem", - "id": "Semantics.AbelianSandpileRouting.chooseForestProfileRoute_address_range", - "name": "chooseForestProfileRoute_address_range", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "theorem", - "id": "Semantics.AbelianSandpileRouting.selectMorphicMode_close", - "name": "selectMorphicMode_close", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "theorem", - "id": "Semantics.AbelianSandpileRouting.selectMorphicMode_far", - "name": "selectMorphicMode_far", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "theorem", - "id": "Semantics.AbelianSandpileRouting.chooseProfileRoute_close_action", - "name": "chooseProfileRoute_close_action", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "theorem", - "id": "Semantics.AbelianSandpileRouting.allNeuronalProfiles_nonempty", - "name": "allNeuronalProfiles_nonempty", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "theorem", - "id": "Semantics.AbelianSandpileRouting.totalLoad_topple", - "name": "totalLoad_topple", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "theorem", - "id": "Semantics.AbelianSandpileRouting.topple_commute", - "name": "topple_commute", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "theorem", - "id": "Semantics.AbelianSandpileRouting.runRoute_pair_swap", - "name": "runRoute_pair_swap", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "theorem", - "id": "Semantics.AbelianSandpileRouting.routingProof_sound", - "name": "routingProof_sound", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.allNeuronalProfiles", - "name": "allNeuronalProfiles", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.profilePattern", - "name": "profilePattern", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.profileFamily", - "name": "profileFamily", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.natAbsDiff", - "name": "natAbsDiff", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.selectMorphicMode", - "name": "selectMorphicMode", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.morphicModeToAction", - "name": "morphicModeToAction", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.bin8OfNat", - "name": "bin8OfNat", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.forestGenome", - "name": "forestGenome", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.forestSignalsForProfile", - "name": "forestSignalsForProfile", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.refineModeWithForest", - "name": "refineModeWithForest", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.chooseProfileRoute", - "name": "chooseProfileRoute", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.chooseForestProfileRoute", - "name": "chooseForestProfileRoute", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.emittedLoad", - "name": "emittedLoad", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.toppleDelta", - "name": "toppleDelta", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.topple", - "name": "topple", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.runRoute", - "name": "runRoute", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "def", - "id": "Semantics.AbelianSandpileRouting.totalLoad", - "name": "totalLoad", - "module": "Semantics.AbelianSandpileRouting" - }, - { - "kind": "mathlib", - "id": "Mathlib.Data.Fin.Basic", - "name": "Mathlib.Data.Fin.Basic" - }, - { - "kind": "module", - "id": "Semantics.Adaptation", - "name": "Adaptation", - "path": "Semantics/Adaptation.lean", - "namespace": "Semantics.Swarm", - "doc": "Witnesses", - "math_kind": "routing", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 15, - "struct_count": 2, - "inductive_count": 0, - "line_count": 124 - }, - { - "kind": "theorem", - "id": "Semantics.Adaptation.flowAuditLoopFinalEqEventually", - "name": "flowAuditLoopFinalEqEventually", - "module": "Semantics.Adaptation" - }, - { - "kind": "theorem", - "id": "Semantics.Adaptation.finalLawfulEqEventuallyLawful", - "name": "finalLawfulEqEventuallyLawful", - "module": "Semantics.Adaptation" - }, - { - "kind": "def", - "id": "Semantics.Adaptation.Genome", - "name": "Genome", - "module": "Semantics.Adaptation" - }, - { - "kind": "def", - "id": "Semantics.Adaptation.isLawful", - "name": "isLawful", - "module": "Semantics.Adaptation" - }, - { - "kind": "def", - "id": "Semantics.Adaptation.betaStep", - "name": "betaStep", - "module": "Semantics.Adaptation" - }, - { - "kind": "def", - "id": "Semantics.Adaptation.isScaleCoherent", - "name": "isScaleCoherent", - "module": "Semantics.Adaptation" - }, - { - "kind": "def", - "id": "Semantics.Adaptation.flowAuditLoop", - "name": "flowAuditLoop", - "module": "Semantics.Adaptation" - }, - { - "kind": "def", - "id": "Semantics.Adaptation.flowAudit", - "name": "flowAudit", - "module": "Semantics.Adaptation" - }, - { - "kind": "def", - "id": "Semantics.Adaptation.witnessLowNe", - "name": "witnessLowNe", - "module": "Semantics.Adaptation" - }, - { - "kind": "def", - "id": "Semantics.Adaptation.witnessAttractor", - "name": "witnessAttractor", - "module": "Semantics.Adaptation" - }, - { - "kind": "def", - "id": "Semantics.Adaptation.witnessBoundary", - "name": "witnessBoundary", - "module": "Semantics.Adaptation" - }, - { - "kind": "module", - "id": "Semantics.Adapters.AlphaProofNexus.Bridge", - "name": "Bridge", - "path": "Semantics/Adapters/AlphaProofNexus/Bridge.lean", - "namespace": "", - "doc": "# AlphaProof Nexus Integration \u2014 Custom Approach Integrates the results from AlphaProof Nexus (Google DeepMind, May 2026) into the Semantics infrastructure using our Sidon/Diophantine framework. Key Result: Erd\u0151s #152 \u2014 Sidon isolated points theorem. Archived proofs in Adapters/AlphaProofNexus/.", - "math_kind": "number_theory", - "sorry_count": 1, - "theorem_count": 1, - "def_count": 1, - "struct_count": 0, - "inductive_count": 0, - "line_count": 46 - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.Bridge.apn_bridge_reference", - "name": "apn_bridge_reference", - "module": "Semantics.Adapters.AlphaProofNexus.Bridge" - }, - { - "kind": "def", - "id": "Semantics.Adapters.AlphaProofNexus.Bridge.sumset", - "name": "sumset", - "module": "Semantics.Adapters.AlphaProofNexus.Bridge" - }, - { - "kind": "mathlib", - "id": "Mathlib.Data.Finset.Basic", - "name": "Mathlib.Data.Finset.Basic" - }, - { - "kind": "module", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction", - "name": "bipartite_reconstruction", - "path": "Semantics/Adapters/AlphaProofNexus/bipartite_reconstruction.lean", - "namespace": "", - "doc": "Copyright 2026 Google LLC Licensed under the Apache License, Version 2.0 (the \"License\"); you may not use this file except in compliance with the License. You may obtain a copy of the License at https://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing,", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 52, - "def_count": 14, - "struct_count": 1, - "inductive_count": 0, - "line_count": 1332 - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.isBipartiteWith_deleteIncidenceSet", - "name": "isBipartiteWith_deleteIncidenceSet", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degreeProfile_eq", - "name": "degreeProfile_eq", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.multiset_map_eq_implies_bij", - "name": "multiset_map_eq_implies_bij", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.BipartiteIso_edgeCount", - "name": "BipartiteIso_edgeCount", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.edgeCount_deleteIncidenceSet", - "name": "edgeCount_deleteIncidenceSet", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.classEdgeCount_eq", - "name": "classEdgeCount_eq", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.bipartiteDeck_edgeCountDeck", - "name": "bipartiteDeck_edgeCountDeck", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.sum_edgeCount_deleteIncidenceSet", - "name": "sum_edgeCount_deleteIncidenceSet", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.sum_classEdgeCount_deck", - "name": "sum_classEdgeCount_deck", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.multiset_sum_eq", - "name": "multiset_sum_eq", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.bipartiteDeck_determines_edgeCount", - "name": "bipartiteDeck_determines_edgeCount", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.deck_edgeCounts_eq", - "name": "deck_edgeCounts_eq", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degreeMultiset_eq_map_edgeCount", - "name": "degreeMultiset_eq_map_edgeCount", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.bipartiteDeck_determines_degreeMultiset", - "name": "bipartiteDeck_determines_degreeMultiset", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degreeMultiset_eq_of_bipartiteIso", - "name": "degreeMultiset_eq_of_bipartiteIso", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degree_deleteIncidenceSet", - "name": "degree_deleteIncidenceSet", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeMultiset", - "name": "count_degreeMultiset", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeMultiset_del", - "name": "count_degreeMultiset_del", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeProfile_eq", - "name": "count_degreeProfile_eq", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.sum_indicator_eq", - "name": "sum_indicator_eq", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeMultiset_deleteIncidenceSet_add", - "name": "count_degreeMultiset_deleteIncidenceSet_add", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.eq_of_add_eq_add_succ", - "name": "eq_of_add_eq_add_succ", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeProfile_eq_zero", - "name": "count_degreeProfile_eq_zero", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.profile_eq_of_iso", - "name": "profile_eq_of_iso", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.unique_isolated_of_2_connected", - "name": "unique_isolated_of_2_connected", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.iso_maps_isolated", - "name": "iso_maps_isolated", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.f_preserves_partitions", - "name": "f_preserves_partitions", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.connected_of_induce_connected", - "name": "connected_of_induce_connected", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.unique_isolated_mapped", - "name": "unique_isolated_mapped", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.deleteIncidenceSet_induce_connected", - "name": "deleteIncidenceSet_induce_connected", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "def", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.bipartiteDeck", - "name": "bipartiteDeck", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "def", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degreeProfile", - "name": "degreeProfile", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "def", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.\u03c4", - "name": "\u03c4", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - }, - { - "kind": "def", - "id": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.R", - "name": "R", - "module": "Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction" - 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You may obtain a copy of the License at https://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing,", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 69, - "def_count": 34, - "struct_count": 1, - "inductive_count": 0, - "line_count": 1135 - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.green_57.supportFn_convexHull", - "name": "supportFn_convexHull", - "module": "Semantics.Adapters.AlphaProofNexus.green_57" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.green_57.witness_f1_bound", - "name": "witness_f1_bound", - "module": "Semantics.Adapters.AlphaProofNexus.green_57" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.green_57.witness_f2_bound", - "name": "witness_f2_bound", - "module": "Semantics.Adapters.AlphaProofNexus.green_57" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.green_57.witness_f3_bound", - "name": "witness_f3_bound", - 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}, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.green_57.What_sum_sq_eq_generic", - "name": "What_sum_sq_eq_generic", - "module": "Semantics.Adapters.AlphaProofNexus.green_57" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.green_57.normSq_eq_norm_sq", - "name": "normSq_eq_norm_sq", - "module": "Semantics.Adapters.AlphaProofNexus.green_57" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_add", - "name": "Eisen_toComplex_add", - "module": "Semantics.Adapters.AlphaProofNexus.green_57" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_sub", - "name": "Eisen_toComplex_sub", - "module": "Semantics.Adapters.AlphaProofNexus.green_57" - }, - { - "kind": "theorem", - "id": "Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_smul", - "name": "Eisen_toComplex_smul", - "module": "Semantics.Adapters.AlphaProofNexus.green_57" - }, - { - "kind": "theorem", - 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"name": "Vhat", - "module": "Semantics.Adapters.AlphaProofNexus.green_57" - }, - { - "kind": "def", - "id": "Semantics.Adapters.AlphaProofNexus.green_57.What", - "name": "What", - "module": "Semantics.Adapters.AlphaProofNexus.green_57" - }, - { - "kind": "def", - "id": "Semantics.Adapters.AlphaProofNexus.green_57.Eisen", - "name": "Eisen", - "module": "Semantics.Adapters.AlphaProofNexus.green_57" - }, - { - "kind": "module", - "id": "Semantics.Adapters.ErgodicAdditive", - "name": "ErgodicAdditive", - "path": "Semantics/Adapters/ErgodicAdditive.lean", - "namespace": "", - "doc": "# Ergodic\u2013Additive Adapter Bridge Connects the ergodic/dynamical kernel (Dim 2: Obscure Math) to the additive combinatorics kernel (Dim 1: Combinatorics) and the Diophantine kernel (Dim 0: Number Theory). ## Background The paper `math/0608105` \"Ergodic Methods in Additive Combinatorics\" and the a", - "math_kind": "number_theory", - "sorry_count": 1, - "theorem_count": 3, - "def_count": 1, - "struct_count": 1, - 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}, - { - "kind": "def", - "id": "Semantics.Adapters.SidonMatroid.sidonIndep", - "name": "sidonIndep", - "module": "Semantics.Adapters.SidonMatroid" - }, - { - "kind": "module", - "id": "Semantics.AdjugateMatrix", - "name": "AdjugateMatrix", - "path": "Semantics/AdjugateMatrix.lean", - "namespace": "Semantics.AdjugateMatrix", - "doc": "Semantics.AdjugateMatrix \u2014 Division-free matrix inversion via the adjugate method", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 20, - "def_count": 27, - "struct_count": 0, - "inductive_count": 0, - "line_count": 609 - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.det_self_inverse_approx", - "name": "det_self_inverse_approx", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.identity8_self_inverse", - "name": "identity8_self_inverse", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.identity8_mul_self", - "name": "identity8_mul_self", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.det8_identity", - "name": "det8_identity", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.det_self_inverse_identity", - "name": "det_self_inverse_identity", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.cayley_transform_zero", - "name": "cayley_transform_zero", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.adjugate_identity8", - "name": "adjugate_identity8", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.adjugate_diag2m", - "name": "adjugate_diag2m", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.cofactorProductEntry_identity8_entry", - "name": "cofactorProductEntry_identity8_entry", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.cofactor_identity_diag2_entries", - "name": "cofactor_identity_diag2_entries", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.det8_diag2m_eq", - "name": "det8_diag2m_eq", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.det_self_inverse_exact_diag2_axiom", - "name": "det_self_inverse_exact_diag2_axiom", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.cofactorProductEntry_identity_clear", - "name": "cofactorProductEntry_identity_clear", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.cofactor_identity_identity_diag", - "name": "cofactor_identity_identity_diag", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "theorem", - "id": "Semantics.AdjugateMatrix.cofactor_identity_identity_offdiag", - "name": "cofactor_identity_identity_offdiag", - 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}, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.getEntryQ", - "name": "getEntryQ", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.minorQ", - "name": "minorQ", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.detQ", - "name": "detQ", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.det8", - "name": "det8", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.det7", - "name": "det7", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.det6", - "name": "det6", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.det5", - "name": "det5", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.det4", - "name": "det4", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.det3", - "name": "det3", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.det2", - "name": "det2", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.minor8", - "name": "minor8", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.cofactor8", - "name": "cofactor8", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.adjugate", - "name": "adjugate", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.matrixMultiply", - "name": "matrixMultiply", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.matrixInverse", - "name": "matrixInverse", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.identity8", - "name": "identity8", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.cayleyTransform", - "name": "cayleyTransform", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.matrixApproxEq", - "name": "matrixApproxEq", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "def", - "id": "Semantics.AdjugateMatrix.cofactorSign", - "name": "cofactorSign", - "module": "Semantics.AdjugateMatrix" - }, - { - "kind": "module", - "id": "Semantics.AffineMappingLTSF", - "name": "AffineMappingLTSF", - "path": "Semantics/AffineMappingLTSF.lean", - "namespace": "Semantics.AffineMappingLTSF", - "doc": "# Affine Mapping for Long-Term Time Series Forecasting This module formalizes the affine mapping equations for long-term time series forecasting (LTSF). The paper \"Revisiting long-term time series forecasting: an investigation on affine mapping\" demonstrates that simple linear layers (affine transf", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 11, - "struct_count": 5, - "inductive_count": 0, - "line_count": 160 - }, - { - "kind": "theorem", - "id": "Semantics.AffineMappingLTSF.scaledPeriodic_zero_scaling_is_constant", - "name": "scaledPeriodic_zero_scaling_is_constant", - "module": "Semantics.AffineMappingLTSF" - }, - { - "kind": "theorem", - "id": "Semantics.AffineMappingLTSF.affineTransform_zero_input_zero_weights_zero_output", - "name": "affineTransform_zero_input_zero_weights_zero_output", - "module": "Semantics.AffineMappingLTSF" - }, - { - "kind": "def", - "id": "Semantics.AffineMappingLTSF.affineTransform", - "name": "affineTransform", - "module": "Semantics.AffineMappingLTSF" - }, - { - "kind": "def", - "id": "Semantics.AffineMappingLTSF.decomposeTimeSeries", - "name": "decomposeTimeSeries", - "module": "Semantics.AffineMappingLTSF" - }, - { - "kind": "def", - "id": "Semantics.AffineMappingLTSF.reconstructTimeSeries", - "name": "reconstructTimeSeries", - "module": "Semantics.AffineMappingLTSF" - }, - { - "kind": "def", - "id": "Semantics.AffineMappingLTSF.periodicConditionSatisfied", - "name": "periodicConditionSatisfied", - "module": "Semantics.AffineMappingLTSF" - }, - { - "kind": "def", - "id": "Semantics.AffineMappingLTSF.applyScaledPeriodic", - "name": "applyScaledPeriodic", - "module": "Semantics.AffineMappingLTSF" - }, - { - "kind": "def", - "id": "Semantics.AffineMappingLTSF.initAffineMappingState", - "name": "initAffineMappingState", - "module": "Semantics.AffineMappingLTSF" - }, - { - "kind": "def", - "id": "Semantics.AffineMappingLTSF.periodicConditionBind", - "name": "periodicConditionBind", - "module": "Semantics.AffineMappingLTSF" - }, - { - "kind": "def", - "id": "Semantics.AffineMappingLTSF.scaledPeriodicBind", - "name": "scaledPeriodicBind", - "module": "Semantics.AffineMappingLTSF" - }, - { - "kind": "def", - "id": "Semantics.AffineMappingLTSF.affineMappingBind", - "name": "affineMappingBind", - "module": "Semantics.AffineMappingLTSF" - }, - { - "kind": "def", - "id": "Semantics.AffineMappingLTSF.zeroLayer", - "name": "zeroLayer", - "module": "Semantics.AffineMappingLTSF" - }, - { - "kind": "def", - "id": "Semantics.AffineMappingLTSF.sampleAffineState", - "name": "sampleAffineState", - "module": "Semantics.AffineMappingLTSF" - }, - { - "kind": "mathlib", - "id": "Mathlib.Tactic", - "name": "Mathlib.Tactic" - }, - { - "kind": "module", - "id": "Semantics.AgentSwarmTemplateAlignment", - "name": "AgentSwarmTemplateAlignment", - "path": "Semantics/AgentSwarmTemplateAlignment.lean", - "namespace": "Semantics.AgentSwarmTemplateAlignment", - "doc": "# Agent Swarm Template Alignment This module translates external agent/swarm template patterns into the local AGENTS.md contract: * finite node kinds instead of open prompt routing; * explicit evaluation and receipt gates; * fail-closed `HOLD` when evidence is missing; * invalid receipts force `BL", - "math_kind": "rrc", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 10, - "struct_count": 1, - "inductive_count": 3, - "line_count": 200 - }, - { - "kind": "theorem", - "id": "Semantics.AgentSwarmTemplateAlignment.classifyTemplateNeverReviewed", - "name": "classifyTemplateNeverReviewed", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "theorem", - "id": "Semantics.AgentSwarmTemplateAlignment.noReceiptsHold", - "name": "noReceiptsHold", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "theorem", - "id": "Semantics.AgentSwarmTemplateAlignment.invalidReceiptBlocks", - "name": "invalidReceiptBlocks", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "theorem", - "id": "Semantics.AgentSwarmTemplateAlignment.codeReviewGraphCandidate", - "name": "codeReviewGraphCandidate", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "theorem", - "id": "Semantics.AgentSwarmTemplateAlignment.unsafeSupportGraphHeld", - "name": "unsafeSupportGraphHeld", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "def", - "id": "Semantics.AgentSwarmTemplateAlignment.hasBoundary", - "name": "hasBoundary", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "def", - "id": "Semantics.AgentSwarmTemplateAlignment.needsEvaluation", - "name": "needsEvaluation", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "def", - "id": "Semantics.AgentSwarmTemplateAlignment.needsApproval", - "name": "needsApproval", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "def", - "id": "Semantics.AgentSwarmTemplateAlignment.requiredReceiptKinds", - "name": "requiredReceiptKinds", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "def", - "id": "Semantics.AgentSwarmTemplateAlignment.graphStructurallyLawful", - "name": "graphStructurallyLawful", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "def", - "id": "Semantics.AgentSwarmTemplateAlignment.hasPromotionReceipts", - "name": "hasPromotionReceipts", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "def", - "id": "Semantics.AgentSwarmTemplateAlignment.classifyTemplate", - "name": "classifyTemplate", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "def", - "id": "Semantics.AgentSwarmTemplateAlignment.codeReviewGraph", - "name": "codeReviewGraph", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "def", - "id": "Semantics.AgentSwarmTemplateAlignment.codeReviewReceipts", - "name": "codeReviewReceipts", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "def", - "id": "Semantics.AgentSwarmTemplateAlignment.unsafeSupportGraph", - "name": "unsafeSupportGraph", - "module": "Semantics.AgentSwarmTemplateAlignment" - }, - { - "kind": "module", - "id": "Semantics.AgenticCore", - "name": "AgenticCore", - "path": "Semantics/AgenticCore.lean", - "namespace": "Semantics.AgenticOrchestration", - "doc": "Core agent types, states, and tasks for orchestration. Split from AgenticOrchestration.lean per swarm suggestion (USER AUTHORIZED).", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 2, - "inductive_count": 2, - "line_count": 106 - }, - { - "kind": "def", - "id": "Semantics.AgenticCore.name", - "name": "name", - "module": "Semantics.AgenticCore" - }, - { - "kind": "def", - "id": "Semantics.AgenticCore.capabilities", - "name": "capabilities", - "module": "Semantics.AgenticCore" - }, - { - "kind": "def", - "id": "Semantics.AgenticCore.researchPipeline", - "name": "researchPipeline", - "module": "Semantics.AgenticCore" - }, - { - "kind": "mathlib", - "id": "Mathlib.Data.Nat.Basic", - "name": "Mathlib.Data.Nat.Basic" - }, - { - "kind": "module", - "id": "Semantics.AgenticOrchestration", - "name": "AgenticOrchestration", - "path": "Semantics/AgenticOrchestration.lean", - "namespace": "Semantics.AgenticOrchestration", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team AgenticOrchestration.lean \u2014 Multi-Agent Coordination for Research Automation This module re-exports agentic orchestration components from split modules: Hardware-native agent structures (AgenticHardwar", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 20, - "struct_count": 5, - "inductive_count": 2, - "line_count": 492 - }, - { - "kind": "theorem", - "id": "Semantics.AgenticOrchestration.researchPipelineIsAcyclic", - "name": "researchPipelineIsAcyclic", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.create", - "name": "create", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.send", - "name": "send", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.receive", - "name": "receive", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.deliver", - "name": "deliver", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.flushOutbox", - "name": "flushOutbox", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.inboxSize", - "name": "inboxSize", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.empty", - "name": "empty", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.registerMailbox", - "name": "registerMailbox", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.findMailbox", - "name": "findMailbox", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.updateMailbox", - "name": "updateMailbox", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.deliveryCycle", - "name": "deliveryCycle", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.totalPending", - "name": "totalPending", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.agentTypeToDomain", - "name": "agentTypeToDomain", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.domainToAgentType", - "name": "domainToAgentType", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.agentStateToSpawnedSubagent", - "name": "agentStateToSpawnedSubagent", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.agentStatesToSubagentSystem", - "name": "agentStatesToSubagentSystem", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.allTasksCompleted", - "name": "allTasksCompleted", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.hasCircularDependency", - "name": "hasCircularDependency", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.DeadlockFreedom", - "name": "DeadlockFreedom", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestration.StarvationFreedom", - "name": "StarvationFreedom", - "module": "Semantics.AgenticOrchestration" - }, - { - "kind": "module", - "id": "Semantics.AgenticOrchestrationField", - "name": "AgenticOrchestrationField", - "path": "Semantics/AgenticOrchestrationField.lean", - "namespace": "Semantics.AgenticOrchestration", - "doc": "Orchestration field computation for agent coordination. Split from AgenticOrchestration.lean per swarm suggestion (USER AUTHORIZED).", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 2, - "inductive_count": 0, - "line_count": 84 - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestrationField.agentField", - "name": "agentField", - "module": "Semantics.AgenticOrchestrationField" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestrationField.coordinationField", - "name": "coordinationField", - "module": "Semantics.AgenticOrchestrationField" - }, - { - "kind": "def", - "id": "Semantics.AgenticOrchestrationField.teamOrchestrationField", - "name": "teamOrchestrationField", - "module": "Semantics.AgenticOrchestrationField" - }, - { - "kind": "module", - "id": "Semantics.AgenticTaskAssignment", - "name": "AgenticTaskAssignment", - "path": "Semantics/AgenticTaskAssignment.lean", - "namespace": "Semantics.AgenticOrchestration", - "doc": "Task assignment and orchestration algorithm. Split from AgenticOrchestration.lean per swarm suggestion (USER AUTHORIZED).", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 118 - }, - { - "kind": "def", - "id": "Semantics.AgenticTaskAssignment.assignTask", - "name": "assignTask", - "module": "Semantics.AgenticTaskAssignment" - }, - { - "kind": "def", - "id": "Semantics.AgenticTaskAssignment.dependenciesSatisfied", - "name": "dependenciesSatisfied", - "module": "Semantics.AgenticTaskAssignment" - }, - { - "kind": "def", - "id": "Semantics.AgenticTaskAssignment.readyTasks", - "name": "readyTasks", - "module": "Semantics.AgenticTaskAssignment" - }, - { - "kind": "def", - "id": "Semantics.AgenticTaskAssignment.orchestrationStep", - "name": "orchestrationStep", - "module": "Semantics.AgenticTaskAssignment" - }, - { - "kind": "def", - "id": "Semantics.AgenticTaskAssignment.runOrchestration", - "name": "runOrchestration", - "module": "Semantics.AgenticTaskAssignment" - }, - { - "kind": "module", - "id": "Semantics.AgenticTheorems", - "name": "AgenticTheorems", - "path": "Semantics/AgenticTheorems.lean", - "namespace": "Semantics.AgenticOrchestration", - "doc": "lemma foldl_pred_mem {\u03b1 \u03b2 : Type} (p : \u03b1 \u2192 Prop) (q : \u03b2 \u2192 Prop) (f : \u03b1 \u2192 \u03b2 \u2192 \u03b1) (l : List \u03b2) (init : \u03b1) (h_list : \u2200 b \u2208 l, q b) (h_init : p init) (h_step : \u2200 a b, p a \u2192 q b \u2192 p (f a b)) : p (l.foldl f init) := by induction l generalizing init with | nil => exact h_init | cons head tail ih => simp [L", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 7, - "def_count": 0, - "struct_count": 0, - "inductive_count": 0, - "line_count": 289 - }, - { - "kind": "theorem", - "id": "Semantics.AgenticTheorems.foldl_pred_mem", - "name": "foldl_pred_mem", - "module": "Semantics.AgenticTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AgenticTheorems.assignmentRespectsCapabilities", - "name": "assignmentRespectsCapabilities", - "module": "Semantics.AgenticTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AgenticTheorems.dependenciesRespected", - "name": "dependenciesRespected", - "module": "Semantics.AgenticTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AgenticTheorems.orchestrationTermination", - "name": "orchestrationTermination", - "module": "Semantics.AgenticTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AgenticTheorems.synergyImprovesPerformance", - "name": "synergyImprovesPerformance", - "module": "Semantics.AgenticTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AgenticTheorems.agentFieldBounded", - "name": "agentFieldBounded", - "module": "Semantics.AgenticTheorems" - }, - { - "kind": "theorem", - "id": "Semantics.AgenticTheorems.loadPenaltyDecreasesField", - "name": "loadPenaltyDecreasesField", - "module": "Semantics.AgenticTheorems" - }, - { - "kind": "module", - "id": "Semantics.AnalysisFoundations", - "name": "AnalysisFoundations", - "path": "Semantics/AnalysisFoundations.lean", - "namespace": "Semantics.AnalysisFoundations", - "doc": "============================================================================", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 9, - "def_count": 8, - "struct_count": 0, - "inductive_count": 1, - "line_count": 214 - }, - { - "kind": "theorem", - "id": "Semantics.AnalysisFoundations.constant_continuous", - "name": "constant_continuous", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "theorem", - "id": "Semantics.AnalysisFoundations.identity_continuous", - "name": "identity_continuous", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "theorem", - "id": "Semantics.AnalysisFoundations.square_continuous", - "name": "square_continuous", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "theorem", - "id": "Semantics.AnalysisFoundations.square_differentiable", - "name": "square_differentiable", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "theorem", - "id": "Semantics.AnalysisFoundations.division_by_constant_differentiable", - "name": "division_by_constant_differentiable", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "theorem", - "id": "Semantics.AnalysisFoundations.norm_squared_convex", - "name": "norm_squared_convex", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "theorem", - "id": "Semantics.AnalysisFoundations.zero_lipschitz", - "name": "zero_lipschitz", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "theorem", - "id": "Semantics.AnalysisFoundations.picard_lindelof", - "name": "picard_lindelof", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "theorem", - "id": "Semantics.AnalysisFoundations.ode_uniqueness", - "name": "ode_uniqueness", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "def", - "id": "Semantics.AnalysisFoundations.ContinuousAt", - "name": "ContinuousAt", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "def", - "id": "Semantics.AnalysisFoundations.Continuous", - "name": "Continuous", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "def", - "id": "Semantics.AnalysisFoundations.DifferentiableAt", - "name": "DifferentiableAt", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "def", - "id": "Semantics.AnalysisFoundations.Differentiable", - "name": "Differentiable", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "def", - "id": "Semantics.AnalysisFoundations.CInf", - "name": "CInf", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "def", - "id": "Semantics.AnalysisFoundations.Convex", - "name": "Convex", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "def", - "id": "Semantics.AnalysisFoundations.Lipschitz", - "name": "Lipschitz", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "def", - "id": "Semantics.AnalysisFoundations.ODESolution", - "name": "ODESolution", - "module": "Semantics.AnalysisFoundations" - }, - { - "kind": "module", - "id": "Semantics.AngrySphinx", - "name": "AngrySphinx", - "path": "Semantics/AngrySphinx.lean", - "namespace": "Semantics.AngrySphinx", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team AngrySphinx.lean \u2014 Proof-of-Defense Primitive AngrySphinx is a lattice-based post-quantum protection system in which attack energy is exponentially transformed into solve-domain cost. Core theorem: E_", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 10, - "struct_count": 6, - "inductive_count": 0, - "line_count": 219 - }, - { - "kind": "theorem", - "id": "Semantics.AngrySphinx.solveEnergyExponential", - "name": "solveEnergyExponential", - "module": "Semantics.AngrySphinx" - }, - { - "kind": "theorem", - "id": "Semantics.AngrySphinx.nanBoundaryCorrect", - "name": "nanBoundaryCorrect", - "module": "Semantics.AngrySphinx" - }, - { - "kind": "def", - "id": "Semantics.AngrySphinx.frustrationUnderPressure", - "name": "frustrationUnderPressure", - "module": "Semantics.AngrySphinx" - }, - { - "kind": "def", - "id": "Semantics.AngrySphinx.landauerBitCost", - "name": "landauerBitCost", - "module": "Semantics.AngrySphinx" - }, - { - "kind": "def", - "id": "Semantics.AngrySphinx.defaultGearRatio", - "name": "defaultGearRatio", - "module": "Semantics.AngrySphinx" - }, - { - "kind": "def", - "id": "Semantics.AngrySphinx.gearProduct", - "name": "gearProduct", - "module": "Semantics.AngrySphinx" - }, - { - "kind": "def", - "id": "Semantics.AngrySphinx.gearProductQ", - "name": "gearProductQ", - "module": "Semantics.AngrySphinx" - }, - { - "kind": "def", - "id": "Semantics.AngrySphinx.solveEnergy", - "name": "solveEnergy", - "module": "Semantics.AngrySphinx" - }, - { - "kind": "def", - "id": "Semantics.AngrySphinx.solveDenominator", - "name": "solveDenominator", - "module": "Semantics.AngrySphinx" - }, - { - "kind": "def", - "id": "Semantics.AngrySphinx.initPod", - "name": "initPod", - "module": "Semantics.AngrySphinx" - }, - { - "kind": "def", - "id": "Semantics.AngrySphinx.accumulateWork", - "name": "accumulateWork", - "module": "Semantics.AngrySphinx" - }, - { - "kind": "def", - "id": "Semantics.AngrySphinx.verifyPod", - "name": "verifyPod", - "module": "Semantics.AngrySphinx" - }, - { - "kind": "module", - "id": "Semantics.AngrySphinxPolicy", - "name": "AngrySphinxPolicy", - "path": "Semantics/AngrySphinxPolicy.lean", - "namespace": "Semantics", - "doc": "structure AngrySphinxPolicy where scope : String allowedUse : List String forbiddenUse : List String domainBoundary : String consentRule : String receiptRule : String killSwitchRule : String reviewRequirement : String deriving Repr /-- Required policy gates for AngrySphinx compliance.", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 1, - "inductive_count": 1, - "line_count": 73 - }, - { - "kind": "def", - "id": "Semantics.AngrySphinxPolicy.defaultAngrySphinxPolicy", - "name": "defaultAngrySphinxPolicy", - "module": "Semantics.AngrySphinxPolicy" - }, - { - "kind": "def", - "id": "Semantics.AngrySphinxPolicy.checkAngrySphinxCompliance", - "name": "checkAngrySphinxCompliance", - "module": "Semantics.AngrySphinxPolicy" - }, - { - "kind": "def", - "id": "Semantics.AngrySphinxPolicy.angrySphinxConstitutionalRule", - "name": "angrySphinxConstitutionalRule", - "module": "Semantics.AngrySphinxPolicy" - }, - { - "kind": "def", - "id": "Semantics.AngrySphinxPolicy.enforceAngrySphinxGate", - "name": "enforceAngrySphinxGate", - "module": "Semantics.AngrySphinxPolicy" - }, - { - "kind": "def", - "id": "Semantics.AngrySphinxPolicy.angrySphinxPolicyLayer", - "name": "angrySphinxPolicyLayer", - "module": "Semantics.AngrySphinxPolicy" - }, - { - "kind": "module", - "id": "Semantics.AnomalyDrift", - "name": "AnomalyDrift", - "path": "Semantics/AnomalyDrift.lean", - "namespace": "Semantics.AnomalyDrift", - "doc": "AnomalyDrift.lean \u2014 Modeling Physics Anomalies as Drift in Barrier Structures This module connects the observed anomalies (muon g-2, B\u2192K*\u03bc\u03bc, W mass) to the universal barrier-crossing framework. Key insight: Every anomaly is a \"drift\" \u2014 a deviation between the predicted barrier-crossing rate (SM) a", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 12, - "struct_count": 3, - "inductive_count": 1, - "line_count": 207 - }, - { - "kind": "def", - "id": "Semantics.AnomalyDrift.computeSigma", - "name": "computeSigma", - "module": "Semantics.AnomalyDrift" - }, - { - "kind": "def", - "id": "Semantics.AnomalyDrift.muon_g2_anomaly", - "name": "muon_g2_anomaly", - "module": "Semantics.AnomalyDrift" - }, - { - "kind": "def", - "id": "Semantics.AnomalyDrift.b_to_s_ll_anomaly", - "name": "b_to_s_ll_anomaly", - "module": "Semantics.AnomalyDrift" - }, - { - "kind": "def", - "id": "Semantics.AnomalyDrift.w_mass_anomaly", - "name": "w_mass_anomaly", - "module": "Semantics.AnomalyDrift" - }, - { - "kind": "def", - "id": "Semantics.AnomalyDrift.knownAnomalies", - "name": "knownAnomalies", - "module": "Semantics.AnomalyDrift" - }, - { - "kind": "def", - "id": "Semantics.AnomalyDrift.anomalyToDrift", - "name": "anomalyToDrift", - "module": "Semantics.AnomalyDrift" - }, - { - "kind": "def", - "id": "Semantics.AnomalyDrift.driftToScale", - "name": "driftToScale", - "module": "Semantics.AnomalyDrift" - }, - { - "kind": "def", - "id": "Semantics.AnomalyDrift.consistentWithCommonSource", - "name": "consistentWithCommonSource", - "module": "Semantics.AnomalyDrift" - }, - { - "kind": "def", - "id": "Semantics.AnomalyDrift.generateDriftReport", - "name": "generateDriftReport", - "module": "Semantics.AnomalyDrift" - }, - { - "kind": "def", - "id": "Semantics.AnomalyDrift.muon_drift", - "name": "muon_drift", - "module": "Semantics.AnomalyDrift" - }, - { - "kind": "def", - "id": "Semantics.AnomalyDrift.bphysics_drift", - "name": "bphysics_drift", - "module": "Semantics.AnomalyDrift" - }, - { - "kind": "def", - "id": "Semantics.AnomalyDrift.testReport", - "name": "testReport", - "module": "Semantics.AnomalyDrift" - }, - { - "kind": "module", - "id": "Semantics.AntiBraidStorm", - "name": "AntiBraidStorm", - "path": "Semantics/AntiBraidStorm.lean", - "namespace": "Semantics.AntiBraidStorm", - "doc": "AntiBraidStorm.lean \u2014 Adversarial Verification Layer for Braid Eigensolid Compressor This module implements the Anti-BraidStorm adversarial check, which validates: 1) Receipt invariant aliasing under topological equivalence 2) Yang-Baxter relation invariance under receipt encoding 3) Far-commutatio", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 9, - "def_count": 7, - "struct_count": 1, - "inductive_count": 0, - "line_count": 284 - }, - { - "kind": "theorem", - "id": "Semantics.AntiBraidStorm.braidState_ext", - "name": "braidState_ext", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "theorem", - "id": "Semantics.AntiBraidStorm.step_count_invariant", - "name": "step_count_invariant", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "theorem", - "id": "Semantics.AntiBraidStorm.sidon_slack_invariant", - "name": "sidon_slack_invariant", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "theorem", - "id": "Semantics.AntiBraidStorm.crossing_matrix_admissible_invariant", - "name": "crossing_matrix_admissible_invariant", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "theorem", - "id": "Semantics.AntiBraidStorm.scar_absent_invariant", - "name": "scar_absent_invariant", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "theorem", - "id": "Semantics.AntiBraidStorm.execSwap_yang_baxter", - "name": "execSwap_yang_baxter", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "theorem", - "id": "Semantics.AntiBraidStorm.execSwap_far_comm", - "name": "execSwap_far_comm", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "theorem", - "id": "Semantics.AntiBraidStorm.yang_baxter_invariance", - "name": "yang_baxter_invariance", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "theorem", - "id": "Semantics.AntiBraidStorm.far_commutation_invariance", - "name": "far_commutation_invariance", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "def", - "id": "Semantics.AntiBraidStorm.detectAliasingViolation", - "name": "detectAliasingViolation", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "def", - "id": "Semantics.AntiBraidStorm.execSwap", - "name": "execSwap", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "def", - "id": "Semantics.AntiBraidStorm.execPath", - "name": "execPath", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "def", - "id": "Semantics.AntiBraidStorm.yangBaxterTestCase", - "name": "yangBaxterTestCase", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "def", - "id": "Semantics.AntiBraidStorm.farCommutationTestCase", - "name": "farCommutationTestCase", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "def", - "id": "Semantics.AntiBraidStorm.ReceiptInvariant", - "name": "ReceiptInvariant", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "def", - "id": "Semantics.AntiBraidStorm.runAdversarialTests", - "name": "runAdversarialTests", - "module": "Semantics.AntiBraidStorm" - }, - { - "kind": "module", - "id": "Semantics.AntiDiophantine", - "name": "AntiDiophantine", - "path": "Semantics/AntiDiophantine.lean", - "namespace": "", - "doc": "# Anti-Diophantine Constructions and the Sidon Intersection A **Diophantine** equation `P(x) = 0` has finitely many integer solutions (Baker). An **Anti-Diophantine** construction has infinitely many or dense solutions. Sidon sets `a\u1d62 + a\u2c7c = a\u2096 + a\u2097 \u21d2 {i,j} = {k,l}` live at the intersection: **Dio", - "math_kind": "number_theory", - "sorry_count": 0, - "theorem_count": 10, - "def_count": 6, - "struct_count": 2, - "inductive_count": 0, - "line_count": 154 - }, - { - "kind": "theorem", - "id": "Semantics.AntiDiophantine.sidonSlack_eq", - "name": "sidonSlack_eq", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "theorem", - "id": "Semantics.AntiDiophantine.canonicalSidonLabels_nonempty", - "name": "canonicalSidonLabels_nonempty", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "theorem", - "id": "Semantics.AntiDiophantine.canonicalSidonLabels_max", - "name": "canonicalSidonLabels_max", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "theorem", - "id": "Semantics.AntiDiophantine.canonical_labels_sidon", - "name": "canonical_labels_sidon", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "theorem", - "id": "Semantics.AntiDiophantine.canonical_sidon_slack", - "name": "canonical_sidon_slack", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "theorem", - "id": "Semantics.AntiDiophantine.sidon_agreement_upper", - "name": "sidon_agreement_upper", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "theorem", - "id": "Semantics.AntiDiophantine.sidon_agreement_lower", - "name": "sidon_agreement_lower", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "theorem", - "id": "Semantics.AntiDiophantine.sidon_agreement_theorem", - "name": "sidon_agreement_theorem", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "theorem", - "id": "Semantics.AntiDiophantine.slack_regime_transition", - "name": "slack_regime_transition", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "theorem", - "id": "Semantics.AntiDiophantine.diophantine_antiDiophantine_comparison", - "name": "diophantine_antiDiophantine_comparison", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "def", - "id": "Semantics.AntiDiophantine.IsDiophantineFamily", - "name": "IsDiophantineFamily", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "def", - "id": "Semantics.AntiDiophantine.IsAntiDiophantineFamily", - "name": "IsAntiDiophantineFamily", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "def", - "id": "Semantics.AntiDiophantine.sidonSlack", - "name": "sidonSlack", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "def", - "id": "Semantics.AntiDiophantine.isAntiDiophantineSlack", - "name": "isAntiDiophantineSlack", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "def", - "id": "Semantics.AntiDiophantine.isDiophantineSlack", - "name": "isDiophantineSlack", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "def", - "id": "Semantics.AntiDiophantine.canonicalSidonLabels", - "name": "canonicalSidonLabels", - "module": "Semantics.AntiDiophantine" - }, - { - "kind": "mathlib", - "id": "Mathlib.Data.Set.Basic", - "name": "Mathlib.Data.Set.Basic" - }, - { - "kind": "module", - "id": "Semantics.AtomicResolution", - "name": "AtomicResolution", - "path": "Semantics/AtomicResolution.lean", - "namespace": "Semantics.AtomicResolution", - "doc": "Conservative witness for what atomic support remains distinguishable after compression. This does not identify chemistry; it only budgets distinguishable sites and bounded coordinate residual against an admissible environment witness.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 7, - "struct_count": 1, - "inductive_count": 0, - "line_count": 127 - }, - { - "kind": "theorem", - "id": "Semantics.AtomicResolution.atomicallyAdmissibleOfBounds", - "name": "atomicallyAdmissibleOfBounds", - "module": "Semantics.AtomicResolution" - }, - { - "kind": "theorem", - "id": "Semantics.AtomicResolution.resolvedSitesLeBasisDim", - "name": "resolvedSitesLeBasisDim", - "module": "Semantics.AtomicResolution" - }, - { - "kind": "theorem", - "id": "Semantics.AtomicResolution.compressionContractsAtomicResolution", - "name": "compressionContractsAtomicResolution", - "module": "Semantics.AtomicResolution" - }, - { - "kind": "def", - "id": "Semantics.AtomicResolution.siteCovered", - "name": "siteCovered", - "module": "Semantics.AtomicResolution" - }, - { - "kind": "def", - "id": "Semantics.AtomicResolution.occupancyCovered", - "name": "occupancyCovered", - "module": "Semantics.AtomicResolution" - }, - { - "kind": "def", - "id": "Semantics.AtomicResolution.coordinateResidualBounded", - "name": "coordinateResidualBounded", - "module": "Semantics.AtomicResolution" - }, - { - "kind": "def", - "id": "Semantics.AtomicResolution.atomicallyAdmissible", - "name": "atomicallyAdmissible", - "module": "Semantics.AtomicResolution" - }, - { - "kind": "def", - "id": "Semantics.AtomicResolution.witnessOfEnvironment", - "name": "witnessOfEnvironment", - "module": "Semantics.AtomicResolution" - }, - { - "kind": "def", - "id": "Semantics.AtomicResolution.sampleAtomicEnvironment", - "name": "sampleAtomicEnvironment", - "module": "Semantics.AtomicResolution" - }, - { - "kind": "def", - "id": "Semantics.AtomicResolution.sampleAtomicResolutionWitness", - "name": "sampleAtomicResolutionWitness", - "module": "Semantics.AtomicResolution" - }, - { - "kind": "module", - "id": "Semantics.Atoms", - "name": "Atoms", - "path": "Semantics/Atoms.lean", - "namespace": "Semantics", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 7, - "inductive_count": 1, - "line_count": 154 - }, - { - "kind": "def", - "id": "Semantics.Atoms.computeSemanticChristoffel", - "name": "computeSemanticChristoffel", - "module": "Semantics.Atoms" - }, - { - "kind": "def", - "id": "Semantics.Atoms.semanticCos", - "name": "semanticCos", - "module": "Semantics.Atoms" - }, - { - "kind": "def", - "id": "Semantics.Atoms.computeSemanticFrustration", - "name": "computeSemanticFrustration", - "module": "Semantics.Atoms" - }, - { - "kind": "def", - "id": "Semantics.Atoms.computeSemanticLockingEnergy", - "name": "computeSemanticLockingEnergy", - "module": "Semantics.Atoms" - }, - { - "kind": "def", - "id": "Semantics.Atoms.updateSemanticStateFromGeometry", - "name": "updateSemanticStateFromGeometry", - "module": "Semantics.Atoms" - }, - { - "kind": "def", - "id": "Semantics.Atoms.updateSemanticStateFromChristoffel", - "name": "updateSemanticStateFromChristoffel", - "module": "Semantics.Atoms" - }, - { - "kind": "module", - "id": "Semantics.Autobalance", - "name": "Autobalance", - "path": "Semantics/Autobalance.lean", - "namespace": "Semantics.Autobalance", - "doc": "NodeState: Represents the health of a research node.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 1, - "inductive_count": 0, - "line_count": 49 - }, - { - "kind": "def", - "id": "Semantics.Autobalance.isGrounded", - "name": "isGrounded", - "module": "Semantics.Autobalance" - }, - { - "kind": "def", - "id": "Semantics.Autobalance.balanceCost", - "name": "balanceCost", - "module": "Semantics.Autobalance" - }, - { - "kind": "def", - "id": "Semantics.Autobalance.balanceBind", - "name": "balanceBind", - "module": "Semantics.Autobalance" - }, - { - "kind": "module", - "id": "Semantics.BHOCS", - "name": "BHOCS", - "path": "Semantics/BHOCS.lean", - "namespace": "Semantics.BHOCS", - "doc": "TREE(3) is incomputable, but Kruskal's theorem proves it's finite We use a symbolic constant for the theoretical bound def maxDepth : Nat := 1000000000000 -- Symbolic placeholder for TREE(3) /-- Inner MMR with orthogonal projection", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 7, - "struct_count": 6, - "inductive_count": 0, - "line_count": 109 - }, - { - "kind": "theorem", - "id": "Semantics.BHOCS.depth_bound", - "name": "depth_bound", - "module": "Semantics.BHOCS" - }, - { - "kind": "theorem", - "id": "Semantics.BHOCS.lookup_terminates", - "name": "lookup_terminates", - "module": "Semantics.BHOCS" - }, - { - "kind": "def", - "id": "Semantics.BHOCS.maxDepth", - "name": "maxDepth", - "module": "Semantics.BHOCS" - }, - { - "kind": "def", - "id": "Semantics.BHOCS.computeHash", - "name": "computeHash", - "module": "Semantics.BHOCS" - }, - { - "kind": "def", - "id": "Semantics.BHOCS.lookup", - "name": "lookup", - "module": "Semantics.BHOCS" - }, - { - "kind": "def", - "id": "Semantics.BHOCS.integrity_preserved", - "name": "integrity_preserved", - "module": "Semantics.BHOCS" - }, - { - "kind": "def", - "id": "Semantics.BHOCS.bhocsCost", - "name": "bhocsCost", - "module": "Semantics.BHOCS" - }, - { - "kind": "def", - "id": "Semantics.BHOCS.isLawful", - "name": "isLawful", - "module": "Semantics.BHOCS" - }, - { - "kind": "def", - "id": "Semantics.BHOCS.extractInvariant", - "name": "extractInvariant", - "module": "Semantics.BHOCS" - }, - { - "kind": "module", - "id": "Semantics.BaselineComparison", - "name": "BaselineComparison", - "path": "Semantics/BaselineComparison.lean", - "namespace": "Semantics.BaselineComparison", - "doc": "BaselineComparison.lean \u2014 BraidCore Predictions vs Standard Physics For every pre-registered prediction, this module states what standard, established physics predicts for the SAME observable, then classifies BraidCore's relationship to that baseline. Classification categories: `agrees` \u2014 B", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 15, - "def_count": 24, - "struct_count": 0, - "inductive_count": 1, - "line_count": 300 - }, - { - "kind": "theorem", - "id": "Semantics.BaselineComparison.for", - "name": "for", - "module": "Semantics.BaselineComparison" - }, - { - "kind": "theorem", - "id": "Semantics.BaselineComparison.p01Relation_correct", - "name": "p01Relation_correct", - "module": "Semantics.BaselineComparison" - }, - { - "kind": "theorem", - "id": "Semantics.BaselineComparison.p02Relation_correct", - "name": "p02Relation_correct", - "module": "Semantics.BaselineComparison" - }, - { - "kind": "theorem", - "id": "Semantics.BaselineComparison.p03Relation_correct", - "name": "p03Relation_correct", - "module": "Semantics.BaselineComparison" - }, - { - "kind": "theorem", - "id": "Semantics.BaselineComparison.p05Relation_correct", - "name": "p05Relation_correct", - "module": "Semantics.BaselineComparison" - }, - { - "kind": "theorem", - "id": "Semantics.BaselineComparison.p07Relation_correct", - "name": "p07Relation_correct", - "module": "Semantics.BaselineComparison" - }, - { - "kind": "theorem", - "id": "Semantics.BaselineComparison.p08Relation_correct", - "name": "p08Relation_correct", - "module": "Semantics.BaselineComparison" - }, - { - "kind": "theorem", - "id": "Semantics.BaselineComparison.p10Relation_correct", - "name": "p10Relation_correct", - "module": "Semantics.BaselineComparison" - }, - { - "kind": "theorem", - "id": "Semantics.BaselineComparison.p11Relation_correct", - "name": "p11Relation_correct", - "module": "Semantics.BaselineComparison" - }, - { - "kind": "theorem", - "id": "Semantics.BaselineComparison.p04Relation_withdrawn", - "name": "p04Relation_withdrawn", - "module": "Semantics.BaselineComparison" - }, - { - "kind": "theorem", - "id": "Semantics.BaselineComparison.countGoesBeyond", - "name": "countGoesBeyond", - "module": "Semantics.BaselineComparison" - }, - { - "kind": "theorem", - 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The user proposes: every cosmologist assigns a temporal point to the Big Bang (t = 0). This is a universally accepted origin. Can we derive P0 from this temporal point, making it physically motivated rather than fitted? 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"name": "BraidBitwiseODE", - "path": "Semantics/BraidBitwiseODE.lean", - "namespace": "Semantics.BraidBitwiseODE", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BraidBitwiseODE.lean \u2014 Bitwise ODE integration for braid crossings Replaces continuous O(1) integration with XOR-based bitwise operations on Q16.16 fixed-point values. Pattern derived from PistBridge'", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 158 - }, - { - "kind": "theorem", - "id": "Semantics.BraidBitwiseODE.bitwise_ode_preserves_range", - "name": "bitwise_ode_preserves_range", - "module": "Semantics.BraidBitwiseODE" - }, - { - "kind": "theorem", - "id": "Semantics.BraidBitwiseODE.cross_step_preserves_slot", - "name": "cross_step_preserves_slot", - "module": "Semantics.BraidBitwiseODE" - }, - { - "kind": "theorem", - "id": "Semantics.BraidBitwiseODE.bitwise_ode_correct", - "name": "bitwise_ode_correct", - "module": "Semantics.BraidBitwiseODE" - }, - { - "kind": "def", - "id": "Semantics.BraidBitwiseODE.bitwiseCrossStep", - "name": "bitwiseCrossStep", - "module": "Semantics.BraidBitwiseODE" - }, - { - "kind": "def", - "id": "Semantics.BraidBitwiseODE.bitwiseODEIntegrate", - "name": "bitwiseODEIntegrate", - "module": "Semantics.BraidBitwiseODE" - }, - { - "kind": "def", - "id": "Semantics.BraidBitwiseODE.bitwiseODEIntegrateSeq", - "name": "bitwiseODEIntegrateSeq", - "module": "Semantics.BraidBitwiseODE" - }, - { - "kind": "def", - "id": "Semantics.BraidBitwiseODE.integrateStrand", - "name": "integrateStrand", - "module": "Semantics.BraidBitwiseODE" - }, - { - "kind": "def", - "id": "Semantics.BraidBitwiseODE.crossingODEStep", - "name": "crossingODEStep", - "module": "Semantics.BraidBitwiseODE" - }, - { - "kind": "module", - "id": "Semantics.BraidBracket", - "name": "BraidBracket", - "path": "Semantics/BraidBracket.lean", - "namespace": "Semantics.BraidBracket", - "doc": "BraidBracket.lean - Bracket Shell for Braid Strand Admissibility Brackets bound the flow. Each braid strand carries a bracket shell that encodes local admissibility geometry. Key rule: merge in linear space first, derive bracket afterward.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 16, - "struct_count": 3, - "inductive_count": 0, - "line_count": 198 - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.zero", - "name": "zero", - "module": "Semantics.BraidBracket" - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.add", - "name": "add", - "module": "Semantics.BraidBracket" - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.neg", - "name": "neg", - "module": "Semantics.BraidBracket" - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.scale", - "name": "scale", - "module": "Semantics.BraidBracket" - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.isZero", - "name": "isZero", - "module": "Semantics.BraidBracket" - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.normApprox", - "name": "normApprox", - "module": "Semantics.BraidBracket" - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.fromPhaseVec", - "name": "fromPhaseVec", - "module": "Semantics.BraidBracket" - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.gapConserved", - "name": "gapConserved", - "module": "Semantics.BraidBracket" - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.addComponentwise", - "name": "addComponentwise", - "module": "Semantics.BraidBracket" - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.crossingResidual", - "name": "crossingResidual", - "module": "Semantics.BraidBracket" - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.leafEntry", - "name": "leafEntry", - "module": "Semantics.BraidBracket" - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.crossingEntry", - "name": "crossingEntry", - "module": "Semantics.BraidBracket" - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.cosineSimilarity", - "name": "cosineSimilarity", - "module": "Semantics.BraidBracket" - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.gradientAlignment", - "name": "gradientAlignment", - "module": "Semantics.BraidBracket" - }, - { - "kind": "def", - "id": "Semantics.BraidBracket.phaseAccumulation", - "name": "phaseAccumulation", - "module": "Semantics.BraidBracket" - }, - { - "kind": "module", - "id": "Semantics.BraidCross", - "name": "BraidCross", - "path": "Semantics/BraidCross.lean", - "namespace": "Semantics.BraidCross", - "doc": "BraidCross.lean - Braid Crossing and Strand Merge Operations Crossing topology: strands interact, merge, and generate residuals. The merge rule remains linear on phaseAcc; bracket is recomputed after. z\u1d62\u2c7c = z\u1d62 + z\u2c7c (linear merge) \u03bc\u1d62\u2c7c = X(\u03bc\u1d62, \u03bc\u2c7c) (crossing slot operator) B\u1d62\u2c7c = C(z\u1d62\u2c7c, \u03bc\u1d62\u2c7c) (brack", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 1, - "inductive_count": 0, - "line_count": 132 - }, - { - "kind": "def", - "id": "Semantics.BraidCross.crossSlot", - "name": "crossSlot", - "module": "Semantics.BraidCross" - }, - { - "kind": "def", - "id": "Semantics.BraidCross.braidCross", - "name": "braidCross", - "module": "Semantics.BraidCross" - }, - { - "kind": "def", - "id": "Semantics.BraidCross.parallelCross", - "name": "parallelCross", - "module": "Semantics.BraidCross" - }, - { - "kind": "def", - "id": "Semantics.BraidCross.crossingAdmissible", - "name": "crossingAdmissible", - "module": "Semantics.BraidCross" - }, - { - "kind": "def", - "id": "Semantics.BraidCross.crossingResidualNorm", - "name": "crossingResidualNorm", - "module": "Semantics.BraidCross" - }, - { - "kind": "def", - "id": "Semantics.BraidCross.fromCross", - "name": "fromCross", - "module": "Semantics.BraidCross" - }, - { - "kind": "module", - "id": "Semantics.BraidDiatCodec", - "name": "BraidDiatCodec", - "path": "Semantics/BraidDiatCodec.lean", - "namespace": "Semantics.BraidDiatCodec", - "doc": "BraidDiatCodec.lean \u2014 Chirality-DIAT Slot + Mountain Pack + Braid Residual Codec Codec for the mountains-on-mountain / braid / DIAT stack. Layer 1 \u2014 Chirality-DIAT Slot Address (64 bits) bits [1:0] Chirality flag (00=none, 01=left, 10=right, 11=achiral) bits [9:2] DIAT shell k (floor(sqr", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 13, - "def_count": 19, - "struct_count": 5, - "inductive_count": 0, - "line_count": 849 - }, - { - "kind": "theorem", - "id": "Semantics.BraidDiatCodec.add_sub_cancel_uint32", - "name": "add_sub_cancel_uint32", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "theorem", - "id": "Semantics.BraidDiatCodec.encode_decode_roundtrip", - "name": "encode_decode_roundtrip", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "theorem", - "id": "Semantics.BraidDiatCodec.decodeQ02_encodeQ02", - "name": "decodeQ02_encodeQ02", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "theorem", - "id": "Semantics.BraidDiatCodec.decodeQ02_encodeQ02_id", - "name": "decodeQ02_encodeQ02_id", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "theorem", - "id": "Semantics.BraidDiatCodec.bracket_roundtrip", - "name": "bracket_roundtrip", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "theorem", - "id": "Semantics.BraidDiatCodec.fromQRState_reflectionData_length_test_2_2_1", - "name": "fromQRState_reflectionData_length_test_2_2_1", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "theorem", - "id": "Semantics.BraidDiatCodec.fromQRState_rData_length_test_2_2_1", - "name": "fromQRState_rData_length_test_2_2_1", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "theorem", - "id": "Semantics.BraidDiatCodec.foldl_append_size", - "name": "foldl_append_size", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "theorem", - "id": "Semantics.BraidDiatCodec.fromQRState_reflectionData_length", - "name": "fromQRState_reflectionData_length", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "theorem", - "id": "Semantics.BraidDiatCodec.fromQRState_rData_length", - "name": "fromQRState_rData_length", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "theorem", - "id": "Semantics.BraidDiatCodec.decode_encode_roundtrip", - "name": "decode_encode_roundtrip", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "theorem", - "id": "Semantics.BraidDiatCodec.qr_encode_decode_roundtrip", - "name": "qr_encode_decode_roundtrip", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.maxOffset", - "name": "maxOffset", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.encode", - "name": "encode", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.decode", - "name": "decode", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.fromMountain", - "name": "fromMountain", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.toMountain", - "name": "toMountain", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.encodeQ02", - "name": "encodeQ02", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.decodeQ02", - "name": "decodeQ02", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.fromBracket", - "name": "fromBracket", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.toBracket", - "name": "toBracket", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.isQ02Range", - "name": "isQ02Range", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.fromQRState", - "name": "fromQRState", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.fromQRNode", - "name": "fromQRNode", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.empty", - "name": "empty", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.testQR_2_2_1", - "name": "testQR_2_2_1", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.testQR_2_2_2", - "name": "testQR_2_2_2", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.isValid", - "name": "isValid", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "def", - "id": "Semantics.BraidDiatCodec.estimatedBytes", - "name": "estimatedBytes", - "module": "Semantics.BraidDiatCodec" - }, - { - "kind": "module", - "id": "Semantics.BraidEigensolid", - "name": "BraidEigensolid", - "path": "Semantics/BraidEigensolid.lean", - "namespace": "Semantics.BraidEigensolid", - "doc": "BraidEigensolid.lean \u2014 Eigensolid Compressor Correctness Theorems This is the canonical compressor target mandated by AGENTS.md \u00a7\"Compression First Principles\". Every compressor requires exactly two theorems: 1. `eigensolid_convergence` \u2014 the braid crossing loop stabilizes 2. `receipt_invertible", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 16, - "def_count": 19, - "struct_count": 4, - "inductive_count": 0, - "line_count": 807 - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.eigensolid_convergence", - "name": "eigensolid_convergence", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.encodeReceipt_residuals_length", - "name": "encodeReceipt_residuals_length", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.encodeReceipt_step_count", - "name": "encodeReceipt_step_count", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.encodeReceipt_residuals_def", - "name": "encodeReceipt_residuals_def", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.encodeReceipt_residual_at", - "name": "encodeReceipt_residual_at", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.encodeReceipt_crossing_matrix_eq", - "name": "encodeReceipt_crossing_matrix_eq", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.receipt_invertible", - "name": "receipt_invertible", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.IsTopologicallyTrivial_iff", - "name": "IsTopologicallyTrivial_iff", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.add_eq_left_of_non_saturated", - "name": "add_eq_left_of_non_saturated", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.crossPartner_involutive", - "name": "crossPartner_involutive", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.eigensolid_trivial", - "name": "eigensolid_trivial", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.inZeroGenusLayer_iff", - "name": "inZeroGenusLayer_iff", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.jsrr_residue_fixed", - "name": "jsrr_residue_fixed", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.jsrr_profile_fixed", - "name": "jsrr_profile_fixed", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.kkt_block_bounded", - "name": "kkt_block_bounded", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "theorem", - "id": "Semantics.BraidEigensolid.zero_genus_kkt_bounded", - "name": "zero_genus_kkt_bounded", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.goldenCentering", - "name": "goldenCentering", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.crossStep", - "name": "crossStep", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.encodeReceipt", - "name": "encodeReceipt", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.IsEigensolid", - "name": "IsEigensolid", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.zero", - "name": "zero", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.add", - "name": "add", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.stepA", - "name": "stepA", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.stepB", - "name": "stepB", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.torusCrossStep", - "name": "torusCrossStep", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.spatialWinding", - "name": "spatialWinding", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.phaseWinding", - "name": "phaseWinding", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.IsTopologicallyTrivial", - "name": "IsTopologicallyTrivial", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.IsTopologicallyTrivialBool", - "name": "IsTopologicallyTrivialBool", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.IsNonSaturatedPhase", - "name": "IsNonSaturatedPhase", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.IsNonSaturated", - "name": "IsNonSaturated", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.crossPartner", - "name": "crossPartner", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.ZeroGenusLayer", - "name": "ZeroGenusLayer", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.inZeroGenusLayer", - "name": "inZeroGenusLayer", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "def", - "id": "Semantics.BraidEigensolid.strandResidue", - "name": "strandResidue", - "module": "Semantics.BraidEigensolid" - }, - { - "kind": "module", - "id": "Semantics.BraidField", - "name": "BraidField", - "path": "Semantics/BraidField.lean", - "namespace": "Semantics.BraidField", - "doc": "# BraidField.lean ## Spherion\u2013MMR Recursive Architecture with PIST Field Formalizes the recursive structure where: `Mountain` = a PyramidDAG = a single peak in a local MMR `MMR` = a Merkle Mountain Range of Mountains (self-similar) `betaStep` = discrete Wilsonian RG integration ", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 23, - "struct_count": 5, - "inductive_count": 2, - "line_count": 485 - }, - { - "kind": "def", - "id": "Semantics.BraidField.IntNode", - "name": "IntNode", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.BettiCycleSet", - "name": "BettiCycleSet", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.merge", - "name": "merge", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.size", - "name": "size", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.peaks", - "name": "peaks", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.latestPeak", - "name": "latestPeak", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.mountainList", - "name": "mountainList", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.append", - "name": "append", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.isStable", - "name": "isStable", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.burdenCost", - "name": "burdenCost", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.geometryCost", - "name": "geometryCost", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.adaptationCost", - "name": "adaptationCost", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.protectionCost", - "name": "protectionCost", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.computePIST", - "name": "computePIST", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.SpherionState", - "name": "SpherionState", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.voidUpdate", - "name": "voidUpdate", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.betaStep", - "name": "betaStep", - "module": "Semantics.BraidField" - }, - { - "kind": "def", - "id": "Semantics.BraidField.rgFlow", - "name": "rgFlow", - "module": "Semantics.BraidField" - }, - { - "kind": "mathlib", - "id": "Mathlib.Data.List.Basic", - "name": "Mathlib.Data.List.Basic" - }, - { - "kind": "module", - "id": "Semantics.BraidSerial", - "name": "BraidSerial", - "path": "Semantics/BraidSerial.lean", - "namespace": "Semantics.BraidSerial", - "doc": "BraidSerial.lean - Braid-Encoded Serial Communication This module keeps the serial-transport surface small enough to compile and extract. Bytes are carried explicitly at the strand boundary, while the braid phase/bracket fields provide the local receipt used by downstream transport checks. The phas", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 8, - "def_count": 26, - "struct_count": 6, - "inductive_count": 1, - "line_count": 292 - }, - { - "kind": "theorem", - "id": "Semantics.BraidSerial.witnessRoundtripHeader", - "name": "witnessRoundtripHeader", - "module": "Semantics.BraidSerial" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSerial.witnessRoundtripPayload", - "name": "witnessRoundtripPayload", - "module": "Semantics.BraidSerial" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSerial.invalidFrameRejected", - "name": "invalidFrameRejected", - "module": "Semantics.BraidSerial" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSerial.directCodecRoundtripBytes", - "name": "directCodecRoundtripBytes", - "module": "Semantics.BraidSerial" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSerial.headerBytes_length", - "name": "headerBytes_length", - "module": "Semantics.BraidSerial" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSerial.packetBytes_length_bound", - "name": "packetBytes_length_bound", - "module": "Semantics.BraidSerial" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSerial.PacketFitsOneFrame", - "name": "PacketFitsOneFrame", - "module": "Semantics.BraidSerial" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSerial.oneFramePayloadPreserved", - "name": "oneFramePayloadPreserved", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.empty", - "name": "empty", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.fromBytes", - "name": "fromBytes", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.length", - "name": "length", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.maxWires", - "name": "maxWires", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.validWireCount", - "name": "validWireCount", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.byteOfNat", - "name": "byteOfNat", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.byteToPhase", - "name": "byteToPhase", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.phaseBucket", - "name": "phaseBucket", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.slotScalar", - "name": "slotScalar", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.bytePhaseVec", - "name": "bytePhaseVec", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.headerBytes", - "name": "headerBytes", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.packetBytes", - "name": "packetBytes", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.laneBytes", - "name": "laneBytes", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.byteAt", - "name": "byteAt", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.decodeHeader", - "name": "decodeHeader", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.decodePayload", - "name": "decodePayload", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.encodeStrand", - "name": "encodeStrand", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.encodeStrands", - "name": "encodeStrands", - "module": "Semantics.BraidSerial" - }, - { - "kind": "def", - "id": "Semantics.BraidSerial.encodePacket", - "name": "encodePacket", - "module": "Semantics.BraidSerial" - }, - { - "kind": "module", - "id": "Semantics.BraidSpherionBridge", - "name": "BraidSpherionBridge", - "path": "Semantics/BraidSpherionBridge.lean", - "namespace": "Semantics.BraidSpherionBridge", - "doc": "BraidSpherionBridge.lean \u2014 SpherionState \u2194 BraidState Equivalence Shows the correspondence between: SpherionState (MMR + Mountains + RG flow via betaStep) BraidState (8 strands + crossStep) Two formalisms, one coarse-graining step at different scales: braidCross on (i,j) \u2194 Mountain.merge for th", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 25, - "def_count": 9, - "struct_count": 0, - "inductive_count": 1, - "line_count": 523 - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.crossPair_0", - "name": "crossPair_0", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.crossPair_1", - "name": "crossPair_1", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.crossPair_2", - "name": "crossPair_2", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.crossPair_3", - "name": "crossPair_3", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.strandPair_distinct", - "name": "strandPair_distinct", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.q16Clamp_add_clamp", - "name": "q16Clamp_add_clamp", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.ofNat_add_eq", - "name": "ofNat_add_eq", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.ofNat_toNat_add", - "name": "ofNat_toNat_add", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.phaseVec_add_eq", - "name": "phaseVec_add_eq", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.getD_nonneg", - "name": "getD_nonneg", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.ofNat_zero_eq", - "name": "ofNat_zero_eq", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.intNodeToPhaseVec_getD", - "name": "intNodeToPhaseVec_getD", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.add_coords_getD", - "name": "add_coords_getD", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.IntNodeToPhaseVec_add", - "name": "IntNodeToPhaseVec_add", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.braidCross_phase_linear", - "name": "braidCross_phase_linear", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.Mountain_merge_apex_add", - "name": "Mountain_merge_apex_add", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.braidCross_merge_correspondence", - "name": "braidCross_merge_correspondence", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.spike_step_correspondence", - "name": "spike_step_correspondence", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.strandFlow_step_count", - "name": "strandFlow_step_count", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.k_spike_step_count", - "name": "k_spike_step_count", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.ofNat_val_nonneg", - "name": "ofNat_val_nonneg", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.crossSlot_val_nonneg", - "name": "crossSlot_val_nonneg", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.braidCross_bracket_admissible", - "name": "braidCross_bracket_admissible", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.receipt_correspondence", - "name": "receipt_correspondence", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidSpherionBridge.receipt_encode_stable", - "name": "receipt_encode_stable", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidSpherionBridge.IntNodeToPhaseVec", - "name": "IntNodeToPhaseVec", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidSpherionBridge.mountain", - "name": "mountain", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidSpherionBridge.strandPair", - "name": "strandPair", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidSpherionBridge.strandZero", - "name": "strandZero", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidSpherionBridge.initStrandState", - "name": "initStrandState", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidSpherionBridge.spikeToStrandUpdate", - "name": "spikeToStrandUpdate", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidSpherionBridge.strandFlow", - "name": "strandFlow", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidSpherionBridge.extractCrossingMatrix", - "name": "extractCrossingMatrix", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidSpherionBridge.extractSidonSlack", - "name": "extractSidonSlack", - "module": "Semantics.BraidSpherionBridge" - }, - { - "kind": "module", - "id": "Semantics.BraidStrand", - "name": "BraidStrand", - "path": "Semantics/BraidStrand.lean", - "namespace": "Semantics.BraidStrand", - "doc": "BraidStrand.lean - Transport Topology with Bracket Shell Braids carry the flow. Each strand accumulates PhaseVec contributions linearly and carries a BraidBracket shell for local admissibility. Hierarchy: DIAT leaf \u2192 AMMR vector \u2192 braid strand \u2192 bracket shell", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 11, - "struct_count": 2, - "inductive_count": 0, - "line_count": 121 - }, - { - "kind": "def", - "id": "Semantics.BraidStrand.fromLeaf", - "name": "fromLeaf", - "module": "Semantics.BraidStrand" - }, - { - "kind": "def", - "id": "Semantics.BraidStrand.updateBracket", - "name": "updateBracket", - "module": "Semantics.BraidStrand" - }, - { - "kind": "def", - "id": "Semantics.BraidStrand.addContribution", - "name": "addContribution", - "module": "Semantics.BraidStrand" - }, - { - "kind": "def", - "id": "Semantics.BraidStrand.zero", - "name": "zero", - "module": "Semantics.BraidStrand" - }, - { - "kind": "def", - "id": "Semantics.BraidStrand.isAdmissible", - "name": "isAdmissible", - "module": "Semantics.BraidStrand" - }, - { - "kind": "def", - "id": "Semantics.BraidStrand.magnitude", - "name": "magnitude", - "module": "Semantics.BraidStrand" - }, - { - "kind": "def", - "id": "Semantics.BraidStrand.phaseAngle", - "name": "phaseAngle", - "module": "Semantics.BraidStrand" - }, - { - "kind": "def", - "id": "Semantics.BraidStrand.empty", - "name": "empty", - "module": "Semantics.BraidStrand" - }, - { - "kind": "def", - "id": "Semantics.BraidStrand.register", - "name": "register", - "module": "Semantics.BraidStrand" - }, - { - "kind": "def", - "id": "Semantics.BraidStrand.count", - "name": "count", - "module": "Semantics.BraidStrand" - }, - { - "kind": "def", - "id": "Semantics.BraidStrand.allAdmissible", - "name": "allAdmissible", - "module": "Semantics.BraidStrand" - }, - { - "kind": "module", - "id": "Semantics.BraidTreeDIATPIST", - "name": "BraidTreeDIATPIST", - "path": "Semantics/BraidTreeDIATPIST.lean", - "namespace": "Semantics.BraidTreeDIATPIST", - "doc": "BraidTreeDIATPIST.lean \u2014 TreeDIAT/PIST Arrays with Q0_2 Fixed-Point and FAMM Gate Problem: 8-strand braid compressor as TreeDIAT/PIST spectral arrays: Each strand carries a Q0_2 phase and bracket (fixed-point) Each step sums crossing residuals via Q0_2 arithmetic Strands are braided pairwise (Braid", - "math_kind": "rrc", - "sorry_count": 0, - "theorem_count": 9, - "def_count": 11, - "struct_count": 6, - "inductive_count": 0, - "line_count": 243 - }, - { - "kind": "theorem", - "id": "Semantics.BraidTreeDIATPIST.raw_add_mono", - "name": "raw_add_mono", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "theorem", - "id": "Semantics.BraidTreeDIATPIST.raw_mul_mono", - "name": "raw_mul_mono", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "theorem", - "id": "Semantics.BraidTreeDIATPIST.raw_abs_nonneg", - "name": "raw_abs_nonneg", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "theorem", - "id": "Semantics.BraidTreeDIATPIST.raw_abs_triangle", - "name": "raw_abs_triangle", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "theorem", - "id": "Semantics.BraidTreeDIATPIST.raw_sum_nonneg", - "name": "raw_sum_nonneg", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "theorem", - "id": "Semantics.BraidTreeDIATPIST.eigensolid_convergence", - "name": "eigensolid_convergence", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "theorem", - "id": "Semantics.BraidTreeDIATPIST.receipt_invertible", - "name": "receipt_invertible", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "theorem", - "id": "Semantics.BraidTreeDIATPIST.q0_2_add_nonneg", - "name": "q0_2_add_nonneg", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "theorem", - "id": "Semantics.BraidTreeDIATPIST.q0_2_mul_nonneg", - "name": "q0_2_mul_nonneg", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "def", - "id": "Semantics.BraidTreeDIATPIST.q0_2_raw_add", - "name": "q0_2_raw_add", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "def", - "id": "Semantics.BraidTreeDIATPIST.q0_2_raw_mul", - "name": "q0_2_raw_mul", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "def", - "id": "Semantics.BraidTreeDIATPIST.q0_2_raw_abs", - "name": "q0_2_raw_abs", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "def", - "id": "Semantics.BraidTreeDIATPIST.q0_2_raw_sum", - "name": "q0_2_raw_sum", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "def", - "id": "Semantics.BraidTreeDIATPIST.isAdmissible", - "name": "isAdmissible", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "def", - "id": "Semantics.BraidTreeDIATPIST.allAdmissible", - "name": "allAdmissible", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "def", - "id": "Semantics.BraidTreeDIATPIST.fammGate", - "name": "fammGate", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "def", - "id": "Semantics.BraidTreeDIATPIST.crossStrands", - "name": "crossStrands", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "def", - "id": "Semantics.BraidTreeDIATPIST.crossStep", - "name": "crossStep", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "def", - "id": "Semantics.BraidTreeDIATPIST.IsEigensolid", - "name": "IsEigensolid", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "def", - "id": "Semantics.BraidTreeDIATPIST.encodeReceipt", - "name": "encodeReceipt", - "module": "Semantics.BraidTreeDIATPIST" - }, - { - "kind": "module", - "id": "Semantics.BraidVCNBridge", - "name": "BraidVCNBridge", - "path": "Semantics/BraidVCNBridge.lean", - "namespace": "Semantics.BraidVCNBridge", - "doc": "# BraidVCNBridge \u2014 Map braid operations to VCN frame encoding. Bridges the braid algebra (BraidStrand, BraidBracket) to the VCN video encode substrate for GPU-accelerated computation. Convergence, invertibility, mountain merge, and PISTField frame encoding are delegated to the canonical proven mod", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 6, - "struct_count": 0, - "inductive_count": 0, - "line_count": 125 - }, - { - "kind": "theorem", - "id": "Semantics.BraidVCNBridge.covers", - "name": "covers", - "module": "Semantics.BraidVCNBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidVCNBridge.eigensolid_convergence", - "name": "eigensolid_convergence", - "module": "Semantics.BraidVCNBridge" - }, - { - "kind": "theorem", - "id": "Semantics.BraidVCNBridge.receipt_invertible", - "name": "receipt_invertible", - "module": "Semantics.BraidVCNBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidVCNBridge.encodeBraidStrand", - "name": "encodeBraidStrand", - "module": "Semantics.BraidVCNBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidVCNBridge.encodeBraidCrossing", - "name": "encodeBraidCrossing", - "module": "Semantics.BraidVCNBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidVCNBridge.encodeMountain", - "name": "encodeMountain", - "module": "Semantics.BraidVCNBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidVCNBridge.decodeMountain", - "name": "decodeMountain", - "module": "Semantics.BraidVCNBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidVCNBridge.encodeFrame", - "name": "encodeFrame", - "module": "Semantics.BraidVCNBridge" - }, - { - "kind": "def", - "id": "Semantics.BraidVCNBridge.decodeFrame", - "name": "decodeFrame", - "module": "Semantics.BraidVCNBridge" - }, - { - "kind": "module", - "id": "Semantics.BraidedField", - "name": "BraidedField", - "path": "Semantics/BraidedField.lean", - "namespace": "Semantics.BraidedField", - "doc": "BraidedField.lean Finite executable scaffold for a polaron-polariton braid-field candidate. This file intentionally uses integer phase ticks and discrete energy witnesses. It is a compileable semantics harness, not a proof that a physical material is topologically protected.", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 20, - "struct_count": 8, - "inductive_count": 1, - "line_count": 232 - }, - { - "kind": "theorem", - "id": "Semantics.BraidedField.sample_braiding_history_len", - "name": "sample_braiding_history_len", - "module": "Semantics.BraidedField" - }, - { - "kind": "theorem", - "id": "Semantics.BraidedField.sample_invariant_tick", - "name": "sample_invariant_tick", - "module": "Semantics.BraidedField" - }, - { - "kind": "theorem", - "id": "Semantics.BraidedField.sample_candidate_protected", - "name": "sample_candidate_protected", - "module": "Semantics.BraidedField" - }, - { - "kind": "theorem", - "id": "Semantics.BraidedField.gap_collapse_not_candidate", - "name": "gap_collapse_not_candidate", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.defaultQuasiparticle", - "name": "defaultQuasiparticle", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.total", - "name": "total", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.validIndex", - "name": "validIndex", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.validBraiding", - "name": "validBraiding", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.applyBraiding", - "name": "applyBraiding", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.topologicalInvariant", - "name": "topologicalInvariant", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.sameInvariant", - "name": "sameInvariant", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.braidPhase", - "name": "braidPhase", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.wavefunctionTick", - "name": "wavefunctionTick", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.intAbs", - "name": "intAbs", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.effectiveMassMilli", - "name": "effectiveMassMilli", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.braid", - "name": "braid", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.totalPhase", - "name": "totalPhase", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.isProtectionCandidate", - "name": "isProtectionCandidate", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.sampleHamiltonian", - "name": "sampleHamiltonian", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.sampleField", - "name": "sampleField", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.sampleBraids", - "name": "sampleBraids", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.sampleBraidedField", - "name": "sampleBraidedField", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.sampleTopologicalField", - "name": "sampleTopologicalField", - "module": "Semantics.BraidedField" - }, - { - "kind": "def", - "id": "Semantics.BraidedField.gapCollapseField", - "name": "gapCollapseField", - "module": "Semantics.BraidedField" - }, - { - "kind": "module", - "id": "Semantics.BraidedFieldPaths", - "name": "BraidedFieldPaths", - "path": "Semantics/BraidedFieldPaths.lean", - "namespace": "Semantics.BraidedField", - "doc": "# Braided Field Sets & Virtual Information Paths This module formalizes the topology of virtual information paths created by braiding polaron-polariton quasiparticles (anyons). Instead of tracking particle locations in Cartesian space, information is stored in the topological equivalence class of t", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 9, - "struct_count": 1, - "inductive_count": 1, - "line_count": 109 - }, - { - "kind": "theorem", - "id": "Semantics.BraidedFieldPaths.path_integrity_preserved", - "name": "path_integrity_preserved", - "module": "Semantics.BraidedFieldPaths" - }, - { - "kind": "theorem", - "id": "Semantics.BraidedFieldPaths.far_commute_example", - "name": "far_commute_example", - "module": "Semantics.BraidedFieldPaths" - }, - { - "kind": "theorem", - "id": "Semantics.BraidedFieldPaths.yang_baxter_example", - "name": "yang_baxter_example", - "module": "Semantics.BraidedFieldPaths" - }, - { - "kind": "theorem", - "id": "Semantics.BraidedFieldPaths.far_commute_symmetric", - "name": "far_commute_symmetric", - "module": "Semantics.BraidedFieldPaths" - }, - { - "kind": "def", - "id": "Semantics.BraidedFieldPaths.s0", - "name": "s0", - "module": "Semantics.BraidedFieldPaths" - }, - { - "kind": "def", - "id": "Semantics.BraidedFieldPaths.s1", - "name": "s1", - "module": "Semantics.BraidedFieldPaths" - }, - { - "kind": "def", - "id": "Semantics.BraidedFieldPaths.s2", - "name": "s2", - "module": "Semantics.BraidedFieldPaths" - }, - { - "kind": "def", - "id": "Semantics.BraidedFieldPaths.farLeft", - "name": "farLeft", - "module": "Semantics.BraidedFieldPaths" - }, - { - "kind": "def", - "id": "Semantics.BraidedFieldPaths.farRight", - "name": "farRight", - "module": "Semantics.BraidedFieldPaths" - }, - { - "kind": "def", - "id": "Semantics.BraidedFieldPaths.yangBaxterLeft", - "name": "yangBaxterLeft", - "module": "Semantics.BraidedFieldPaths" - }, - { - "kind": "def", - "id": "Semantics.BraidedFieldPaths.yangBaxterRight", - "name": "yangBaxterRight", - "module": "Semantics.BraidedFieldPaths" - }, - { - "kind": "def", - "id": "Semantics.BraidedFieldPaths.pathLength", - "name": "pathLength", - "module": "Semantics.BraidedFieldPaths" - }, - { - "kind": "def", - "id": "Semantics.BraidedFieldPaths.generatorIndexSum", - "name": "generatorIndexSum", - "module": "Semantics.BraidedFieldPaths" - }, - { - "kind": "module", - "id": "Semantics.BrainBoxDescriptor", - "name": "BrainBoxDescriptor", - "path": "Semantics/BrainBoxDescriptor.lean", - "namespace": "Semantics.BrainBoxDescriptor", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BrainBoxDescriptor.lean \u2014 BBD: Brain Box Descriptor An information-conservative processing unit with fixed-point bounds.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 7, - "struct_count": 1, - "inductive_count": 0, - "line_count": 109 - }, - { - "kind": "theorem", - "id": "Semantics.BrainBoxDescriptor.composeAssoc", - "name": "composeAssoc", - "module": "Semantics.BrainBoxDescriptor" - }, - { - "kind": "theorem", - "id": "Semantics.BrainBoxDescriptor.identityLeft", - "name": "identityLeft", - "module": "Semantics.BrainBoxDescriptor" - }, - { - "kind": "theorem", - "id": "Semantics.BrainBoxDescriptor.identityRight", - "name": "identityRight", - "module": "Semantics.BrainBoxDescriptor" - }, - { - "kind": "theorem", - "id": "Semantics.BrainBoxDescriptor.pipelineCompressionAchievesTarget", - "name": "pipelineCompressionAchievesTarget", - "module": "Semantics.BrainBoxDescriptor" - }, - { - "kind": "theorem", - "id": "Semantics.BrainBoxDescriptor.pipelineErrorBelowOnePercent", - "name": "pipelineErrorBelowOnePercent", - "module": "Semantics.BrainBoxDescriptor" - }, - { - "kind": "def", - "id": "Semantics.BrainBoxDescriptor.bbdKernelDeltaExtraction", - "name": "bbdKernelDeltaExtraction", - "module": "Semantics.BrainBoxDescriptor" - }, - { - "kind": "def", - "id": "Semantics.BrainBoxDescriptor.bbdGeneticCodon", - "name": "bbdGeneticCodon", - "module": "Semantics.BrainBoxDescriptor" - }, - { - "kind": "def", - "id": "Semantics.BrainBoxDescriptor.bbdDeltaGCL", - "name": "bbdDeltaGCL", - "module": "Semantics.BrainBoxDescriptor" - }, - { - "kind": "def", - "id": "Semantics.BrainBoxDescriptor.bbdSwarmComposition", - "name": "bbdSwarmComposition", - "module": "Semantics.BrainBoxDescriptor" - }, - { - "kind": "def", - "id": "Semantics.BrainBoxDescriptor.compose", - "name": "compose", - "module": "Semantics.BrainBoxDescriptor" - }, - { - "kind": "def", - "id": "Semantics.BrainBoxDescriptor.identityBBD", - "name": "identityBBD", - "module": "Semantics.BrainBoxDescriptor" - }, - { - "kind": "def", - "id": "Semantics.BrainBoxDescriptor.humanNeuralPipeline", - "name": "humanNeuralPipeline", - "module": "Semantics.BrainBoxDescriptor" - }, - { - "kind": "module", - "id": "Semantics.Burgers2DPDE", - "name": "Burgers2DPDE", - "path": "Semantics/Burgers2DPDE.lean", - "namespace": "Semantics.Burgers2DPDE", - "doc": "Burgers2DPDE.lean \u2014 2D Coupled Burgers Equation System in Q16_16 u_t + u\u00b7u_x + v\u00b7u_y = \u03bd\u00b7(u_xx + u_yy) v_t + u\u00b7v_x + v\u00b7v_y = \u03bd\u00b7(v_xx + v_yy) Coupled velocity components (u,v) on a 2D lattice with shared kinematic viscosity \u03bd. Reference: Gao 2017 (10.1016/j.apm.2016.12.010) \u2014 2D Burgers system", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 17, - "struct_count": 1, - "inductive_count": 0, - "line_count": 270 - }, - { - "kind": "theorem", - "id": "Semantics.Burgers2DPDE.energy_correspondence_2d", - "name": "energy_correspondence_2d", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "theorem", - "id": "Semantics.Burgers2DPDE.mass_correspondence_2d", - "name": "mass_correspondence_2d", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.get2D", - "name": "get2D", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.centralDiffX", - "name": "centralDiffX", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.centralDiffY", - "name": "centralDiffY", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.secondDiffX", - "name": "secondDiffX", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.secondDiffY", - "name": "secondDiffY", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.burgersU_RHS", - "name": "burgersU_RHS", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.burgersV_RHS", - "name": "burgersV_RHS", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.stepEuler", - "name": "stepEuler", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.runSteps", - "name": "runSteps", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.kineticEnergy", - "name": "kineticEnergy", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.totalMass", - "name": "totalMass", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.maxVelocity", - "name": "maxVelocity", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.burgers2DInvariant", - "name": "burgers2DInvariant", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.test2DState", - "name": "test2DState", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.burgers2DToBraidDef", - "name": "burgers2DToBraidDef", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.burgers2DToBraid", - "name": "burgers2DToBraid", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers2DPDE.burgers2DTheoremReceipt", - "name": "burgers2DTheoremReceipt", - "module": "Semantics.Burgers2DPDE" - }, - { - "kind": "module", - "id": "Semantics.Burgers3DPDE", - "name": "Burgers3DPDE", - "path": "Semantics/Burgers3DPDE.lean", - "namespace": "Semantics.Burgers3DPDE", - "doc": "Burgers3DPDE.lean \u2014 3D Coupled Burgers Equation System in Q16_16 u_t + u\u00b7u_x + v\u00b7u_y + w\u00b7u_z = \u03bd\u00b7(u_xx + u_yy + u_zz) v_t + u\u00b7v_x + v\u00b7v_y + w\u00b7v_z = \u03bd\u00b7(v_xx + v_yy + v_zz) w_t + u\u00b7w_x + v\u00b7w_y + w\u00b7w_z = \u03bd\u00b7(w_xx + w_yy + w_zz)", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 18, - "struct_count": 1, - "inductive_count": 0, - "line_count": 163 - }, - { - "kind": "theorem", - "id": "Semantics.Burgers3DPDE.energy_correspondence_3d", - "name": "energy_correspondence_3d", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "theorem", - "id": "Semantics.Burgers3DPDE.mass_correspondence_3d", - "name": "mass_correspondence_3d", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.get3D", - "name": "get3D", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.centralDiffX", - "name": "centralDiffX", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.centralDiffY", - "name": "centralDiffY", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.centralDiffZ", - "name": "centralDiffZ", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.secondDiffX", - "name": "secondDiffX", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.secondDiffY", - "name": "secondDiffY", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.secondDiffZ", - "name": "secondDiffZ", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.burgersU_RHS", - "name": "burgersU_RHS", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.burgersV_RHS", - "name": "burgersV_RHS", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.burgersW_RHS", - "name": "burgersW_RHS", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.stepEuler", - "name": "stepEuler", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.runSteps", - "name": "runSteps", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.kineticEnergy", - "name": "kineticEnergy", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.burgers3DInvariant", - "name": "burgers3DInvariant", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.test3DState", - "name": "test3DState", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.burgers3DToBraidDef", - "name": "burgers3DToBraidDef", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.burgers3DToBraid", - "name": "burgers3DToBraid", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "def", - "id": "Semantics.Burgers3DPDE.burgers3DTheoremReceipt", - "name": "burgers3DTheoremReceipt", - "module": "Semantics.Burgers3DPDE" - }, - { - "kind": "module", - "id": "Semantics.BurgersHilbertPDE", - "name": "BurgersHilbertPDE", - "path": "Semantics/BurgersHilbertPDE.lean", - "namespace": "Semantics.BurgersHilbertPDE", - "doc": "BurgersHilbertPDE.lean \u2014 Burgers-Hilbert Equation in Q16_16 u_t + u \u00b7 u_x = \u03b7 \u00b7 H[u_xx] Combines Burgers nonlinear advection with Hilbert transform dispersion. The Hilbert transform H is a singular integral operator that introduces nonlocal dispersion, leading to shock stability transitions. Refe", - "math_kind": "routing", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 12, - "struct_count": 1, - "inductive_count": 0, - "line_count": 193 - }, - { - "kind": "theorem", - "id": "Semantics.BurgersHilbertPDE.energy_correspondence_bh", - "name": "energy_correspondence_bh", - "module": "Semantics.BurgersHilbertPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersHilbertPDE.threshold_stability_test_witness", - "name": "threshold_stability_test_witness", - "module": "Semantics.BurgersHilbertPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersHilbertPDE.discreteHilbert", - "name": "discreteHilbert", - "module": "Semantics.BurgersHilbertPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersHilbertPDE.burgersHilbertRHS", - "name": "burgersHilbertRHS", - "module": "Semantics.BurgersHilbertPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersHilbertPDE.stepEuler", - "name": "stepEuler", - "module": "Semantics.BurgersHilbertPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersHilbertPDE.runSteps", - "name": "runSteps", - "module": "Semantics.BurgersHilbertPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersHilbertPDE.kineticEnergy", - "name": "kineticEnergy", - "module": "Semantics.BurgersHilbertPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersHilbertPDE.totalMass", - "name": "totalMass", - "module": "Semantics.BurgersHilbertPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersHilbertPDE.burgersHilbertInvariant", - "name": "burgersHilbertInvariant", - "module": "Semantics.BurgersHilbertPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersHilbertPDE.testBHState", - "name": "testBHState", - "module": "Semantics.BurgersHilbertPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersHilbertPDE.burgersHilbertToBraidDef", - "name": "burgersHilbertToBraidDef", - "module": "Semantics.BurgersHilbertPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersHilbertPDE.etaCritical", - "name": "etaCritical", - "module": "Semantics.BurgersHilbertPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersHilbertPDE.threshold_instability_conjecture", - "name": "threshold_instability_conjecture", - "module": "Semantics.BurgersHilbertPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersHilbertPDE.burgersHilbertTheoremReceipt", - "name": "burgersHilbertTheoremReceipt", - "module": "Semantics.BurgersHilbertPDE" - }, - { - "kind": "module", - "id": "Semantics.BurgersNKConsistency", - "name": "BurgersNKConsistency", - "path": "Semantics/BurgersNKConsistency.lean", - "namespace": "Semantics.BurgersNKConsistency", - "doc": "BurgersNKConsistency.lean \u2014 Burgers Consistency Proof for NK-Hodge-FAMM Axiom Shows that the 4 Burgers theorems (energy dissipation, CFL stability, mass conservation, complexity regularization) collectively imply the NK-Hodge-FAMM regularity axiom's conclusion for the Burgers PDE case. The key ins", - "math_kind": "routing", - "sorry_count": 0, - "theorem_count": 7, - "def_count": 0, - "struct_count": 0, - "inductive_count": 0, - "line_count": 167 - }, - { - "kind": "theorem", - "id": "Semantics.BurgersNKConsistency.energy_dissipation_satisfies_scar_evolution", - "name": "energy_dissipation_satisfies_scar_evolution", - "module": "Semantics.BurgersNKConsistency" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersNKConsistency.unconditional_cfl_stability", - "name": "unconditional_cfl_stability", - "module": "Semantics.BurgersNKConsistency" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersNKConsistency.applyViscosity_one", - "name": "applyViscosity_one", - "module": "Semantics.BurgersNKConsistency" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersNKConsistency.mass_conservation_inviscid_limit", - "name": "mass_conservation_inviscid_limit", - "module": "Semantics.BurgersNKConsistency" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersNKConsistency.complexity_regularization", - "name": "complexity_regularization", - "module": "Semantics.BurgersNKConsistency" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersNKConsistency.burgers_satisfies_nk_hodge_famm", - "name": "burgers_satisfies_nk_hodge_famm", - "module": "Semantics.BurgersNKConsistency" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersNKConsistency.burgers_satisfies_nk_hodge_famm_betti", - "name": "burgers_satisfies_nk_hodge_famm_betti", - "module": "Semantics.BurgersNKConsistency" - }, - { - "kind": "module", - "id": "Semantics.BurgersPDE", - "name": "BurgersPDE", - "path": "Semantics/BurgersPDE.lean", - "namespace": "Semantics.BurgersPDE", - "doc": "Models the 1D and n-dimensional Burgers equation: u_t + u \u00b7 u_x = \u03bd \u00b7 u_xx Ported from academic literature via MATH_MODEL_MAP.tsv entries 2622-2634. Uses saturating Q16_16 fixed-point arithmetic throughout. References: Bertini 1994 (10.1007/BF02099769) \u2014 Stochastic Burgers Serre 2020 (10.1007/s002", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 20, - "def_count": 29, - "struct_count": 2, - "inductive_count": 0, - "line_count": 707 - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.energyChangeRateTestState", - "name": "energyChangeRateTestState", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.quatModulusSq_nonneg", - "name": "quatModulusSq_nonneg", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.dualQuatEnergy_nonneg", - "name": "dualQuatEnergy_nonneg", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.Q16_16", - "name": "Q16_16", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.applyViscosity_energy_le", - "name": "applyViscosity_energy_le", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.energy_correspondence_testState", - "name": "energy_correspondence_testState", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.step_correspondence_bounded", - "name": "step_correspondence_bounded", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.energy_dissipation_testDQ", - "name": "energy_dissipation_testDQ", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.energy_dissipation_testDQ2", - "name": "energy_dissipation_testDQ2", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.energy_strictly_dissipates_testDQ", - "name": "energy_strictly_dissipates_testDQ", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.viscosity_stable_testDQ_fine", - "name": "viscosity_stable_testDQ_fine", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.viscosity_stable_testDQ_half", - "name": "viscosity_stable_testDQ_half", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.viscosity_stable_testDQ_zero", - "name": "viscosity_stable_testDQ_zero", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.viscosity_stable_testDQ_unit", - "name": "viscosity_stable_testDQ_unit", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.viscosity_stable_testDQ2_half", - "name": "viscosity_stable_testDQ2_half", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.mass_conservation_identity", - "name": "mass_conservation_identity", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.mass_conservation_identity_dq2", - "name": "mass_conservation_identity_dq2", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.mass_decreases_with_viscosity", - "name": "mass_decreases_with_viscosity", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.complexityRegularizationTestState", - "name": "complexityRegularizationTestState", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.BurgersPDE.braid_complexity_bounded", - "name": "braid_complexity_bounded", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersPDE.forwardDiff", - "name": "forwardDiff", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersPDE.centralDiff", - "name": "centralDiff", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersPDE.secondDiff", - "name": "secondDiff", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersPDE.burgersRHS", - "name": "burgersRHS", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersPDE.stepEuler", - "name": "stepEuler", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersPDE.runSteps", - "name": "runSteps", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersPDE.kineticEnergy", - "name": "kineticEnergy", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersPDE.maxVelocity", - "name": "maxVelocity", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersPDE.burgersInvariant", - "name": "burgersInvariant", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersPDE.testState", - "name": "testState", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersPDE.energyChangeRate", - "name": "energyChangeRate", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.BurgersPDE.quatModulusSq", - "name": "quatModulusSq", - 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"name": "testNuHalf", - "module": "Semantics.BurgersPDE" - }, - { - "kind": "module", - "id": "Semantics.CERNEigensolidData", - "name": "CERNEigensolidData", - "path": "Semantics/CERNEigensolidData.lean", - "namespace": "Semantics.CERNEigensolidData", - "doc": "========================================================================", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 13, - "def_count": 14, - "struct_count": 1, - "inductive_count": 0, - "line_count": 194 - }, - { - "kind": "theorem", - "id": "Semantics.CERNEigensolidData.pseudorapidity_conservation", - "name": "pseudorapidity_conservation", - "module": "Semantics.CERNEigensolidData" - }, - { - "kind": "theorem", - "id": "Semantics.CERNEigensolidData.charge_parity_symmetry", - "name": "charge_parity_symmetry", - "module": "Semantics.CERNEigensolidData" - }, - { - "kind": "theorem", - "id": "Semantics.CERNEigensolidData.charge_parity_symmetry_perturbative", - "name": "charge_parity_symmetry_perturbative", - 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A versor encodes position in this 5D space. Access cost between two cells is the CGA distance derived from the inner product of their point representations. 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Authors: Research Stack Team CalibratedKernel.lean \u2014 Hutter-Calibrated Trajectory Kernel Extends the domain-agnostic trajectory engine with: \u2022 Corpus-aware calibration (Hutter Prize inspired) \u2022 Runtime performance tracking \u2022 Base ", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 32, - "struct_count": 8, - "inductive_count": 0, - "line_count": 458 - }, - { - "kind": "theorem", - "id": "Semantics.CalibratedKernel.calibratedRejectionStructure", - "name": "calibratedRejectionStructure", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.defaultKnobs", - "name": "defaultKnobs", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.calibrate", - "name": "calibrate", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.sigOfPayload", - "name": "sigOfPayload", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.rescaleCoupling", - "name": "rescaleCoupling", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.scaledCoupling", - "name": "scaledCoupling", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.finalScoreCalibrated", - "name": "finalScoreCalibrated", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.bettiSwooshApprox", - "name": "bettiSwooshApprox", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.stableDrivenScoreCalibrated", - "name": "stableDrivenScoreCalibrated", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.routeStableCalibrated", - "name": "routeStableCalibrated", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.allowTunnelCalibrated", - "name": "allowTunnelCalibrated", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.shouldPromoteCalibrated", - "name": "shouldPromoteCalibrated", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.budgetCalibratedStep", - "name": "budgetCalibratedStep", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.budgetCalibrated", - "name": "budgetCalibrated", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.stabilizePayloadsCalibrated", - "name": "stabilizePayloadsCalibrated", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.chooseBestCalibrated", - "name": "chooseBestCalibrated", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.stepKernelCalibrated", - "name": "stepKernelCalibrated", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "def", - "id": "Semantics.CalibratedKernel.CalibratedTrace", - "name": "CalibratedTrace", - "module": "Semantics.CalibratedKernel" - }, - { - "kind": "module", - "id": "Semantics.CandidateDictionary", - "name": "CandidateDictionary", - "path": "Semantics/CandidateDictionary.lean", - "namespace": "Semantics.CandidateDictionary", - "doc": "# Candidate Dictionary Commit Surface This module formalizes the vectorless, external-store dictionary used by the logogram sidecar path. The dictionary is a committed token table: sidecar references may select ranges from it, but promotion still requires GCCL-Rep verification and replay evidence. 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References: Cole 1", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 11, - "struct_count": 1, - "inductive_count": 0, - "line_count": 153 - }, - { - "kind": "def", - "id": "Semantics.ColeHopfTransform.forwardDiff", - "name": "forwardDiff", - "module": "Semantics.ColeHopfTransform" - }, - { - "kind": "def", - "id": "Semantics.ColeHopfTransform.centralDiff", - "name": "centralDiff", - "module": "Semantics.ColeHopfTransform" - }, - { - "kind": "def", - "id": "Semantics.ColeHopfTransform.secondDiff", - "name": "secondDiff", - "module": "Semantics.ColeHopfTransform" - }, - { - "kind": "def", - "id": "Semantics.ColeHopfTransform.heatRHS", - "name": "heatRHS", - "module": "Semantics.ColeHopfTransform" - }, - { - "kind": "def", - "id": "Semantics.ColeHopfTransform.stepHeatEuler", - "name": "stepHeatEuler", - "module": "Semantics.ColeHopfTransform" - }, - { - "kind": "def", - "id": "Semantics.ColeHopfTransform.coleHopfForward", - "name": "coleHopfForward", - "module": "Semantics.ColeHopfTransform" - }, - { - "kind": "def", - "id": "Semantics.ColeHopfTransform.toBurgersState", - "name": "toBurgersState", - "module": "Semantics.ColeHopfTransform" - }, - { - "kind": "def", - "id": "Semantics.ColeHopfTransform.expApprox", - "name": "expApprox", - "module": "Semantics.ColeHopfTransform" - }, - { - "kind": "def", - "id": "Semantics.ColeHopfTransform.cumulativeIntegral", - "name": "cumulativeIntegral", - "module": "Semantics.ColeHopfTransform" - }, - { - "kind": "def", - "id": "Semantics.ColeHopfTransform.inverseColeHopf", - "name": "inverseColeHopf", - "module": "Semantics.ColeHopfTransform" - }, - { - "kind": "def", - "id": "Semantics.ColeHopfTransform.testHeatState", - "name": "testHeatState", - "module": "Semantics.ColeHopfTransform" - }, - { - "kind": "module", - "id": "Semantics.CollectiveManifoldInterface", - "name": "CollectiveManifoldInterface", - "path": "Semantics/CollectiveManifoldInterface.lean", - "namespace": "Semantics.CollectiveManifold", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CollectiveManifoldInterface.lean \u2014 Interface for Future Collective Manifold Math Integration Provides the interface structure for integrating S3C manifold processing with higher-layer collective manifo", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 9, - "struct_count": 3, - "inductive_count": 0, - "line_count": 202 - }, - { - "kind": "theorem", - "id": "Semantics.CollectiveManifoldInterface.gossipMergePreservesSafety", - "name": "gossipMergePreservesSafety", - "module": "Semantics.CollectiveManifoldInterface" - }, - { - "kind": "theorem", - "id": "Semantics.CollectiveManifoldInterface.collectiveOEPINonNegative", - "name": "collectiveOEPINonNegative", - "module": "Semantics.CollectiveManifoldInterface" - }, - { - "kind": "theorem", - "id": "Semantics.CollectiveManifoldInterface.collectiveBindLawful", - "name": "collectiveBindLawful", - "module": "Semantics.CollectiveManifoldInterface" - }, - { - "kind": "def", - "id": "Semantics.CollectiveManifoldInterface.zero", - "name": "zero", - "module": "Semantics.CollectiveManifoldInterface" - }, - { - "kind": "def", - "id": "Semantics.CollectiveManifoldInterface.one", - "name": "one", - "module": "Semantics.CollectiveManifoldInterface" - }, - { - "kind": "def", - "id": "Semantics.CollectiveManifoldInterface.ofFrac", - "name": "ofFrac", - "module": "Semantics.CollectiveManifoldInterface" - }, - { - "kind": "def", - "id": "Semantics.CollectiveManifoldInterface.computeCRC8", - "name": "computeCRC8", - "module": "Semantics.CollectiveManifoldInterface" - }, - { - "kind": "def", - "id": "Semantics.CollectiveManifoldInterface.validateFrame", - "name": "validateFrame", - "module": "Semantics.CollectiveManifoldInterface" - }, - { - "kind": "def", - "id": "Semantics.CollectiveManifoldInterface.initCollectiveState", - "name": "initCollectiveState", - "module": "Semantics.CollectiveManifoldInterface" - }, - { - "kind": "def", - "id": "Semantics.CollectiveManifoldInterface.gossipMerge", - "name": "gossipMerge", - "module": "Semantics.CollectiveManifoldInterface" - }, - { - "kind": "def", - "id": "Semantics.CollectiveManifoldInterface.collectiveOEPIScore", - "name": "collectiveOEPIScore", - "module": "Semantics.CollectiveManifoldInterface" - }, - { - "kind": "def", - "id": "Semantics.CollectiveManifoldInterface.collectiveManifoldBind", - "name": "collectiveManifoldBind", - "module": "Semantics.CollectiveManifoldInterface" - }, - { - "kind": "module", - "id": "Semantics.CompileBridge", - "name": "CompileBridge", - "path": "Semantics/CompileBridge.lean", - "namespace": "Semantics.CompileBridge", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CompileBridge.lean \u2014 GPU-Accelerated Compilation Bridge Formal Specification This module formalizes the interface between the Lean 4 build system (lake) and GPU-accelerated theorem verification. 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Authors: Research Stack Team CompressionLossComparison.lean \u2014 Unified Field Formulation of Learning Objectives THESIS STATEMENT: \"We define a unified field \u03a6(x) that incorporates accuracy, dynamics, geometry, entropy, and conserva", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 10, - "def_count": 14, - "struct_count": 5, - "inductive_count": 0, - "line_count": 632 - }, - { - "kind": "theorem", - "id": "Semantics.CompressionLossComparison.standard_is_degenerate_field", - "name": "standard_is_degenerate_field", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionLossComparison.self_compression_has_curvature", - "name": "self_compression_has_curvature", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionLossComparison.field_based_strictly_generalizes_standard", - "name": "field_based_strictly_generalizes_standard", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionLossComparison.field_based_strictly_generalizes_self_compression", - "name": "field_based_strictly_generalizes_self_compression", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionLossComparison.fixedPointStationary", - "name": "fixedPointStationary", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionLossComparison.lyapunovStability", - "name": "lyapunovStability", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionLossComparison.convergenceToAttractor", - "name": "convergenceToAttractor", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionLossComparison.field_based_generalizes_standard_wf", - "name": "field_based_generalizes_standard_wf", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionLossComparison.field_based_generalizes_self_compression_wf", - "name": "field_based_generalizes_self_compression_wf", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionLossComparison.expressivity_hierarchy_completed", - "name": "expressivity_hierarchy_completed", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "def", - "id": "Semantics.CompressionLossComparison.denominator", - "name": "denominator", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "def", - "id": "Semantics.CompressionLossComparison.numerator", - "name": "numerator", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "def", - "id": "Semantics.CompressionLossComparison.phi", - "name": "phi", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "def", - "id": "Semantics.CompressionLossComparison.loss", - "name": "loss", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "def", - "id": "Semantics.CompressionLossComparison.StandardTrainingLoss", - "name": "StandardTrainingLoss", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "def", - "id": "Semantics.CompressionLossComparison.standardToUnified", - "name": "standardToUnified", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "def", - "id": "Semantics.CompressionLossComparison.SelfCompressionLoss", - "name": "SelfCompressionLoss", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "def", - "id": "Semantics.CompressionLossComparison.selfCompressionToUnified", - "name": "selfCompressionToUnified", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "def", - "id": "Semantics.CompressionLossComparison.FieldBasedLoss", - "name": "FieldBasedLoss", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "def", - "id": "Semantics.CompressionLossComparison.gradientStep", - "name": "gradientStep", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "def", - "id": "Semantics.CompressionLossComparison.isFixedPoint", - "name": "isFixedPoint", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "def", - "id": "Semantics.CompressionLossComparison.lyapunovV", - "name": "lyapunovV", - "module": "Semantics.CompressionLossComparison" - }, - { - "kind": "module", - "id": "Semantics.CompressionMaximization", - "name": "CompressionMaximization", - "path": "Semantics/CompressionMaximization.lean", - "namespace": "Semantics.CompressionMaximization", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CompressionMaximization.lean \u2014 Compression Maximization Results and Theoretical Limits Documents the WGSL parallel hypothesis generation results for Hutter Prize compression, including the winning equa", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 21, - "struct_count": 0, - "inductive_count": 0, - "line_count": 186 - }, - { - "kind": "theorem", - "id": "Semantics.CompressionMaximization.theoreticalLimitNegative", - "name": "theoreticalLimitNegative", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionMaximization.speedImprovementSignificant", - "name": "speedImprovementSignificant", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionMaximization.memoryImprovementSignificant", - "name": "memoryImprovementSignificant", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionMaximization.theoreticalLimitViolatesPhysicalConstraint", - "name": "theoreticalLimitViolatesPhysicalConstraint", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionMaximization.limitReached", - "name": "limitReached", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.maxIterations", - "name": "maxIterations", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.numTemplates", - "name": "numTemplates", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.totalHypotheses", - "name": "totalHypotheses", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.hutterRecordRatio", - "name": "hutterRecordRatio", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.hutterTargetRatio", - "name": "hutterTargetRatio", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.winningEquation", - "name": "winningEquation", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.winningEquationDescription", - "name": "winningEquationDescription", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.winningEquationDomains", - "name": "winningEquationDomains", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.iteration0Ratio", - "name": "iteration0Ratio", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.iteration50Ratio", - "name": "iteration50Ratio", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.iteration100Ratio", - "name": "iteration100Ratio", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.iteration500Ratio", - "name": "iteration500Ratio", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.theoreticalLimit", - "name": "theoreticalLimit", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.speedImprovement", - "name": "speedImprovement", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.memoryImprovement", - "name": "memoryImprovement", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.compressionRatioPhysicalConstraint", - "name": "compressionRatioPhysicalConstraint", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.theoreticalLimitReached", - "name": "theoreticalLimitReached", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.insight1", - "name": "insight1", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.insight2", - "name": "insight2", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "def", - "id": "Semantics.CompressionMaximization.insight3", - "name": "insight3", - "module": "Semantics.CompressionMaximization" - }, - { - "kind": "module", - "id": "Semantics.CompressionMechanics", - "name": "CompressionMechanics", - "path": "Semantics/CompressionMechanics.lean", - "namespace": "Semantics.CompressionMechanics", - "doc": "Mechanical-level witness over a compression trace and an admissible atomic resolution witness. This budgets only contact order, actuation budget, and work budget; it does not claim geometry, force fields, or chemistry.", - "math_kind": "fixedpoint", - "sorry_count": 1, - "theorem_count": 3, - "def_count": 13, - "struct_count": 2, - "inductive_count": 0, - "line_count": 242 - }, - { - "kind": "theorem", - "id": "Semantics.CompressionMechanics.mechanicallyAdmissibleOfBounds", - "name": "mechanicallyAdmissibleOfBounds", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionMechanics.positiveWorkOfIrreversibleCompression", - "name": "positiveWorkOfIrreversibleCompression", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionMechanics.compressionContractsMechanicalOrder", - "name": "compressionContractsMechanicalOrder", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanics.summaryAligned", - "name": "summaryAligned", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanics.contactOrderCovered", - "name": "contactOrderCovered", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanics.actuationBudgeted", - "name": "actuationBudgeted", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanics.workBudgeted", - "name": "workBudgeted", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanics.allBudgetsCovered", - "name": "allBudgetsCovered", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanics.mechanicallyAdmissible", - "name": "mechanicallyAdmissible", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanics.witnessOfCompression", - "name": "witnessOfCompression", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanics.sampleMechanicalCompressionWitness", - "name": "sampleMechanicalCompressionWitness", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanics.timePenalty", - "name": "timePenalty", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanics.gaFitnessFunction", - "name": "gaFitnessFunction", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanics.compressionRatio", - "name": "compressionRatio", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanics.defaultGAFitnessParams", - "name": "defaultGAFitnessParams", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanics.adaptiveCompressionFitness", - "name": "adaptiveCompressionFitness", - "module": "Semantics.CompressionMechanics" - }, - { - "kind": "module", - "id": "Semantics.CompressionMechanicsBridge", - "name": "CompressionMechanicsBridge", - "path": "Semantics/CompressionMechanicsBridge.lean", - "namespace": "Semantics.CompressionMechanicsBridge", - "doc": "Minimal substrate witness for realizing a compression trace physically. This budgets only dissipation capacity, defect tolerance, and retained support.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 6, - "struct_count": 1, - "inductive_count": 0, - "line_count": 121 - }, - { - "kind": "theorem", - "id": "Semantics.CompressionMechanicsBridge.substrateAdmissibleOfBounds", - "name": "substrateAdmissibleOfBounds", - "module": "Semantics.CompressionMechanicsBridge" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionMechanicsBridge.resolvedSitesLeSupportBudget", - "name": "resolvedSitesLeSupportBudget", - "module": "Semantics.CompressionMechanicsBridge" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionMechanicsBridge.landauerCoveredBySubstrate", - "name": "landauerCoveredBySubstrate", - "module": "Semantics.CompressionMechanicsBridge" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionMechanicsBridge.compressionTracePhysicallyAdmissible", - "name": "compressionTracePhysicallyAdmissible", - "module": "Semantics.CompressionMechanicsBridge" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanicsBridge.dissipationCovered", - "name": "dissipationCovered", - "module": "Semantics.CompressionMechanicsBridge" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanicsBridge.supportCovered", - "name": "supportCovered", - "module": "Semantics.CompressionMechanicsBridge" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanicsBridge.defectToleranceCovered", - "name": "defectToleranceCovered", - "module": "Semantics.CompressionMechanicsBridge" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanicsBridge.substrateAdmissible", - "name": "substrateAdmissible", - "module": "Semantics.CompressionMechanicsBridge" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanicsBridge.witnessOfDefect", - "name": "witnessOfDefect", - "module": "Semantics.CompressionMechanicsBridge" - }, - { - "kind": "def", - "id": "Semantics.CompressionMechanicsBridge.sampleSubstrateWitness", - "name": "sampleSubstrateWitness", - "module": "Semantics.CompressionMechanicsBridge" - }, - { - "kind": "module", - "id": "Semantics.CompressionYield", - "name": "CompressionYield", - "path": "Semantics/CompressionYield.lean", - "namespace": "Semantics.CompressionYield", - "doc": "CompressionYield.lean \u2014 Holographic compression yield theorem. Traditional compression minimizes bits per symbol along coordinate axes. Holographic compression packs N structures per coordinate by separating them in lambda-space. The total compression multiplier is the product of three independent", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 15, - "def_count": 9, - "struct_count": 1, - "inductive_count": 0, - "line_count": 199 - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.max_bands_bounded_by_value_count", - "name": "max_bands_bounded_by_value_count", - "module": "Semantics.CompressionYield" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.dish_total_is_60000", - "name": "dish_total_is_60000", - "module": "Semantics.CompressionYield" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.baseline_total_is_20000", - "name": "baseline_total_is_20000", - "module": "Semantics.CompressionYield" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.full_lambda_total_is_60000000", - "name": "full_lambda_total_is_60000000", - "module": "Semantics.CompressionYield" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.full_lambda_dominates_baseline", - "name": "full_lambda_dominates_baseline", - "module": "Semantics.CompressionYield" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.full_lambda_dominates_dish", - "name": "full_lambda_dominates_dish", - "module": "Semantics.CompressionYield" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.holographic_advantage_over_baseline_dish", - "name": "holographic_advantage_over_baseline_dish", - "module": "Semantics.CompressionYield" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.three_rotation_advantage", - "name": "three_rotation_advantage", - "module": "Semantics.CompressionYield" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.logogram_holographic_advantage", - "name": "logogram_holographic_advantage", - "module": "Semantics.CompressionYield" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.logogram_holographic_is_3000x", - "name": "logogram_holographic_is_3000x", - "module": "Semantics.CompressionYield" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.multipliers_are_multiplicative", - "name": "multipliers_are_multiplicative", - "module": "Semantics.CompressionYield" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.delta_zero_gives_all_bands", - "name": "delta_zero_gives_all_bands", - "module": "Semantics.CompressionYield" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.delta_one_gives_one_band", - "name": "delta_one_gives_one_band", - "module": "Semantics.CompressionYield" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.delta_half_gives_two_bands", - "name": "delta_half_gives_two_bands", - "module": "Semantics.CompressionYield" - }, - { - "kind": "theorem", - "id": "Semantics.CompressionYield.delta_small_gives_many_bands", - "name": "delta_small_gives_many_bands", - "module": "Semantics.CompressionYield" - }, - { - "kind": "def", - "id": "Semantics.CompressionYield.totalMultiplier", - "name": "totalMultiplier", - "module": "Semantics.CompressionYield" - }, - { - "kind": "def", - "id": "Semantics.CompressionYield.q0_16_valueCount", - "name": "q0_16_valueCount", - "module": "Semantics.CompressionYield" - }, - { - "kind": "def", - "id": "Semantics.CompressionYield.maxLambdaBands", - "name": "maxLambdaBands", - "module": "Semantics.CompressionYield" - }, - { - "kind": "def", - "id": "Semantics.CompressionYield.dishHolographicYield", - "name": "dishHolographicYield", - "module": "Semantics.CompressionYield" - }, - { - "kind": "def", - "id": "Semantics.CompressionYield.fullLambdaYield", - "name": "fullLambdaYield", - "module": "Semantics.CompressionYield" - }, - { - "kind": "def", - "id": "Semantics.CompressionYield.baselineYield", - "name": "baselineYield", - "module": "Semantics.CompressionYield" - }, - { - "kind": "def", - "id": "Semantics.CompressionYield.threeRotationYield", - "name": "threeRotationYield", - "module": "Semantics.CompressionYield" - }, - { - "kind": "def", - "id": "Semantics.CompressionYield.logogramBaselineYield", - "name": "logogramBaselineYield", - "module": "Semantics.CompressionYield" - }, - { - "kind": "def", - "id": "Semantics.CompressionYield.logogramHolographicYield", - "name": "logogramHolographicYield", - "module": "Semantics.CompressionYield" - }, - { - "kind": "module", - "id": "Semantics.ComputationProfile", - "name": "ComputationProfile", - "path": "Semantics/ComputationProfile.lean", - "namespace": "Semantics.ComputationProfile", - "doc": "ComputationProfile.lean - Minimal stub", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 0, - "struct_count": 1, - "inductive_count": 0, - "line_count": 23 - }, - { - "kind": "module", - "id": "Semantics.ConflictResolution", - "name": "ConflictResolution", - "path": "Semantics/ConflictResolution.lean", - "namespace": "Semantics.ConflictResolution", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team ConflictResolution.lean \u2014 Conflict Resolution for Tile Flip Operations Defines conflict resolution mechanisms for the Gossip-DAG-QR-Go protocol (MATH_MODEL_MAP 0.4.10). Handles simultaneous tile flips,", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 12, - "struct_count": 2, - "inductive_count": 2, - "line_count": 240 - }, - { - "kind": "theorem", - "id": "Semantics.ConflictResolution.resolveByTimestampPriorityReturnsProposal", - "name": "resolveByTimestampPriorityReturnsProposal", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "theorem", - "id": "Semantics.ConflictResolution.resolveByHashDeterministicReturnsProposal", - "name": "resolveByHashDeterministicReturnsProposal", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "theorem", - "id": "Semantics.ConflictResolution.detectNetworkPartitionReturnsOption", - "name": "detectNetworkPartitionReturnsOption", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "theorem", - "id": "Semantics.ConflictResolution.applyResolutionStrategyReturnsOption", - "name": "applyResolutionStrategyReturnsOption", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "def", - "id": "Semantics.ConflictResolution.zero", - "name": "zero", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "def", - "id": "Semantics.ConflictResolution.one", - "name": "one", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "def", - "id": "Semantics.ConflictResolution.ofFrac", - "name": "ofFrac", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "def", - "id": "Semantics.ConflictResolution.detectSimultaneousFlips", - "name": "detectSimultaneousFlips", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "def", - "id": "Semantics.ConflictResolution.detectConflictingPatterns", - "name": "detectConflictingPatterns", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "def", - "id": "Semantics.ConflictResolution.detectNetworkPartition", - "name": "detectNetworkPartition", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "def", - "id": "Semantics.ConflictResolution.resolveByTimestampPriority", - "name": "resolveByTimestampPriority", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "def", - "id": "Semantics.ConflictResolution.computeProposalHash", - "name": "computeProposalHash", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "def", - "id": "Semantics.ConflictResolution.resolveByHashDeterministic", - "name": "resolveByHashDeterministic", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "def", - "id": "Semantics.ConflictResolution.resolveByMajorityPartition", - "name": "resolveByMajorityPartition", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "def", - "id": "Semantics.ConflictResolution.applyResolutionStrategy", - "name": "applyResolutionStrategy", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "def", - "id": "Semantics.ConflictResolution.createTestProposal", - "name": "createTestProposal", - "module": "Semantics.ConflictResolution" - }, - { - "kind": "module", - "id": "Semantics.Connectors", - "name": "Connectors", - "path": "Semantics/Connectors.lean", - "namespace": "Semantics.Connectors", - "doc": "Semantics/Connectors.lean - Global Theory Connectors This module formalizes the \"Connectors\" identified in the April 2026 Research Stack. It bridges the Distant Semantic Maths: 1. Generalized Geometry (Aldi et al. 2026) \u2194 MMR Gossip 2. Stable Looped Scaling (Parcae 2026) \u2194 Cognitive Bandwidth (OMT)", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 9, - "struct_count": 1, - "inductive_count": 0, - "line_count": 156 - }, - { - "kind": "theorem", - "id": "Semantics.Connectors.linearAccumulationIntegrable", - "name": "linearAccumulationIntegrable", - "module": "Semantics.Connectors" - }, - { - "kind": "theorem", - "id": "Semantics.Connectors.zeroIsVoid", - "name": "zeroIsVoid", - "module": "Semantics.Connectors" - }, - { - "kind": "def", - "id": "Semantics.Connectors.aldiTorsion", - "name": "aldiTorsion", - "module": "Semantics.Connectors" - }, - { - "kind": "def", - "id": "Semantics.Connectors.isIntegrable", - "name": "isIntegrable", - "module": "Semantics.Connectors" - }, - { - "kind": "def", - "id": "Semantics.Connectors.isStable", - "name": "isStable", - "module": "Semantics.Connectors" - }, - { - "kind": "def", - "id": "Semantics.Connectors.omegaMax", - "name": "omegaMax", - "module": "Semantics.Connectors" - }, - { - "kind": "def", - "id": "Semantics.Connectors.existsSOC", - "name": "existsSOC", - "module": "Semantics.Connectors" - }, - { - "kind": "def", - "id": "Semantics.Connectors.isVoidConcept", - "name": "isVoidConcept", - "module": "Semantics.Connectors" - }, - { - "kind": "def", - "id": "Semantics.Connectors.isLocked", - "name": "isLocked", - "module": "Semantics.Connectors" - }, - { - "kind": "def", - "id": "Semantics.Connectors.stressLawful", - "name": "stressLawful", - "module": "Semantics.Connectors" - }, - { - "kind": "def", - "id": "Semantics.Connectors.dualityLawful", - "name": "dualityLawful", - "module": "Semantics.Connectors" - }, - { - "kind": "module", - "id": "Semantics.Constitution", - "name": "Constitution", - "path": "Semantics/Constitution.lean", - "namespace": "Semantics.ENE", - "doc": "Constitution", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 11, - "def_count": 3, - "struct_count": 3, - "inductive_count": 1, - "line_count": 268 - }, - { - "kind": "theorem", - "id": "Semantics.Constitution.no_object_without_semantic_grounding", - "name": "no_object_without_semantic_grounding", - "module": "Semantics.Constitution" - }, - { - "kind": "theorem", - "id": "Semantics.Constitution.no_motion_without_lawful_path", - "name": "no_motion_without_lawful_path", - "module": "Semantics.Constitution" - }, - { - "kind": "theorem", - "id": "Semantics.Constitution.no_complexity_without_load_map", - "name": "no_complexity_without_load_map", - "module": "Semantics.Constitution" - }, - { - "kind": "theorem", - "id": "Semantics.Constitution.no_universality_loss_under_constitution", - "name": "no_universality_loss_under_constitution", - "module": "Semantics.Constitution" - }, - { - "kind": "theorem", - "id": "Semantics.Constitution.canonical_form_required", - "name": "canonical_form_required", - "module": "Semantics.Constitution" - }, - { - "kind": "theorem", - "id": "Semantics.Constitution.evolution_audit_required", - "name": "evolution_audit_required", - "module": "Semantics.Constitution" - }, - { - "kind": "theorem", - "id": "Semantics.Constitution.scalar_certification_required", - "name": "scalar_certification_required", - "module": "Semantics.Constitution" - }, - { - "kind": "theorem", - "id": "Semantics.Constitution.scalar_collapse_must_be_admissible", - "name": "scalar_collapse_must_be_admissible", - "module": "Semantics.Constitution" - }, - { - "kind": "theorem", - "id": "Semantics.Constitution.silencer_blocks_admissibility", - "name": "silencer_blocks_admissibility", - "module": "Semantics.Constitution" - }, - { - "kind": "theorem", - "id": "Semantics.Constitution.unacknowledged_flag_blocks_admissibility", - "name": "unacknowledged_flag_blocks_admissibility", - "module": "Semantics.Constitution" - }, - { - "kind": "theorem", - "id": "Semantics.Constitution.fully_translated_iff_empty", - "name": "fully_translated_iff_empty", - "module": "Semantics.Constitution" - }, - { - "kind": "def", - "id": "Semantics.Constitution.FullyAdmissible", - "name": "FullyAdmissible", - "module": "Semantics.Constitution" - }, - { - "kind": "def", - "id": "Semantics.Constitution.TranslationAdmissible", - "name": "TranslationAdmissible", - "module": "Semantics.Constitution" - }, - { - "kind": "def", - "id": "Semantics.Constitution.constitutionSelfContract", - "name": "constitutionSelfContract", - "module": "Semantics.Constitution" - }, - { - "kind": "module", - "id": "Semantics.Containment", - "name": "Containment", - "path": "Semantics/Containment.lean", - "namespace": "Semantics.Containment", - "doc": "Containment: Formal deterrence and safety protocol. Ensures that radioactive adversarial warding can ONLY be activated with a verified out-of-band Human Witness signature.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 2, - "struct_count": 1, - "inductive_count": 1, - "line_count": 46 - }, - { - "kind": "def", - "id": "Semantics.Containment.isContained", - "name": "isContained", - "module": "Semantics.Containment" - }, - { - "kind": "def", - "id": "Semantics.Containment.canEscalate", - "name": "canEscalate", - "module": "Semantics.Containment" - }, - { - "kind": "module", - "id": "Semantics.ContinuedFractionCompression", - "name": "ContinuedFractionCompression", - "path": "Semantics/ContinuedFractionCompression.lean", - "namespace": "Semantics.ContinuedFractionCompression", - "doc": "# Continued Fraction Compression Surface This module tests whether existing ratio-heavy Research Stack math can be adapted into a vectorless continued-fraction codec. The target is not real-number theorem proving. The target is exact, integer replay: a finite partial-quotient stream reconstructs a", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 10, - "def_count": 12, - "struct_count": 2, - "inductive_count": 1, - "line_count": 193 - }, - { - "kind": "theorem", - "id": "Semantics.ContinuedFractionCompression.phi_five_reconstructs", - "name": "phi_five_reconstructs", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "theorem", - "id": "Semantics.ContinuedFractionCompression.phi_squared_reconstructs", - "name": "phi_squared_reconstructs", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "theorem", - "id": "Semantics.ContinuedFractionCompression.ten_point_five_reconstructs", - "name": "ten_point_five_reconstructs", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "theorem", - "id": "Semantics.ContinuedFractionCompression.phi_packet_promotable", - "name": "phi_packet_promotable", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "theorem", - "id": "Semantics.ContinuedFractionCompression.phi_squared_packet_promotable", - "name": "phi_squared_packet_promotable", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "theorem", - "id": "Semantics.ContinuedFractionCompression.ten_point_five_packet_promotable", - "name": "ten_point_five_packet_promotable", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "theorem", - "id": "Semantics.ContinuedFractionCompression.large_quotient_not_promotable", - "name": "large_quotient_not_promotable", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "theorem", - "id": "Semantics.ContinuedFractionCompression.aesthetic_cf_packet_not_promotable", - "name": "aesthetic_cf_packet_not_promotable", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "theorem", - "id": "Semantics.ContinuedFractionCompression.promotable_cf_reconstructs", - "name": "promotable_cf_reconstructs", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "theorem", - "id": "Semantics.ContinuedFractionCompression.promotable_cf_satisfies_byte_law", - "name": "promotable_cf_satisfies_byte_law", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "def", - "id": "Semantics.ContinuedFractionCompression.evalCf", - "name": "evalCf", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "def", - "id": "Semantics.ContinuedFractionCompression.partialQuotientsAdmissible", - "name": "partialQuotientsAdmissible", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "def", - "id": "Semantics.ContinuedFractionCompression.partialQuotientsByteSized", - "name": "partialQuotientsByteSized", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "def", - "id": "Semantics.ContinuedFractionCompression.cfPayloadBytes", - "name": "cfPayloadBytes", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "def", - "id": "Semantics.ContinuedFractionCompression.cfReconstructs", - "name": "cfReconstructs", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "def", - "id": "Semantics.ContinuedFractionCompression.cfByteLawHolds", - "name": "cfByteLawHolds", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "def", - "id": "Semantics.ContinuedFractionCompression.cfCompressionPromotable", - "name": "cfCompressionPromotable", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "def", - "id": "Semantics.ContinuedFractionCompression.phiFivePacket", - "name": "phiFivePacket", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "def", - "id": "Semantics.ContinuedFractionCompression.phiSquaredPacket", - "name": "phiSquaredPacket", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "def", - "id": "Semantics.ContinuedFractionCompression.tenPointFivePacket", - "name": "tenPointFivePacket", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "def", - "id": "Semantics.ContinuedFractionCompression.largeQuotientPacket", - "name": "largeQuotientPacket", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "def", - "id": "Semantics.ContinuedFractionCompression.aestheticCfPacket", - "name": "aestheticCfPacket", - "module": "Semantics.ContinuedFractionCompression" - }, - { - "kind": "module", - "id": "Semantics.CooperativeLUT", - "name": "CooperativeLUT", - "path": "Semantics/CooperativeLUT.lean", - "namespace": "Semantics.CooperativeLUT", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CooperativeLUT.lean \u2014 Parallel LUT-based computation via 1D cooperative scalars. This module formalizes a substrate-limited compute model where: 1. The address space width is arbitrary (N-bit), bounded", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 28, - "struct_count": 14, - "inductive_count": 0, - "line_count": 902 - }, - { - "kind": "theorem", - "id": "Semantics.CooperativeLUT.genomeToAddressBound", - "name": "genomeToAddressBound", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "theorem", - "id": "Semantics.CooperativeLUT.btbSizeInvariant", - "name": "btbSizeInvariant", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "theorem", - "id": "Semantics.CooperativeLUT.streakThresholdPos", - "name": "streakThresholdPos", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.addressZero", - "name": "addressZero", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.addressInc", - "name": "addressInc", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.addressCompat", - "name": "addressCompat", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.cellMask", - "name": "cellMask", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.cellSet", - "name": "cellSet", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.manifold2D", - "name": "manifold2D", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.manifold3D", - "name": "manifold3D", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.lutEmpty", - "name": "lutEmpty", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.activeCount", - "name": "activeCount", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.genomeToAddress", - "name": "genomeToAddress", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.addressToGenome", - "name": "addressToGenome", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.drakeConstant", - "name": "drakeConstant", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.driftBarrierConstant", - "name": "driftBarrierConstant", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.computeConstraintEntry", - "name": "computeConstraintEntry", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.biophysicalLUT", - "name": "biophysicalLUT", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.counterIncrement", - "name": "counterIncrement", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.counterDecrement", - "name": "counterDecrement", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.counterPredictsTaken", - "name": "counterPredictsTaken", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.btbEmpty", - "name": "btbEmpty", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "def", - "id": "Semantics.CooperativeLUT.btbLookup", - "name": "btbLookup", - "module": "Semantics.CooperativeLUT" - }, - { - "kind": "module", - "id": "Semantics.CopyIfTactic", - "name": "CopyIfTactic", - "path": "Semantics/CopyIfTactic.lean", - "namespace": "Semantics.CopyIfTactic", - "doc": "CopyIfTactic.lean \u2014 Pre-filter tactic for Lean 4 Implements the copy-if pattern as a native Lean tactic: 1. Check if goal is trivially closable (zero delta) \u2192 close immediately 2. If non-trivial (non-zero delta) \u2192 delegate to solver Usage: theorem foo : 1 = 1 := by copy_if theorem bar : x + 0 = x ", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 0, - "struct_count": 0, - "inductive_count": 0, - "line_count": 60 - }, - { - "kind": "theorem", - "id": "Semantics.CopyIfTactic.foo", - "name": "foo", - "module": "Semantics.CopyIfTactic" - }, - { - "kind": "theorem", - "id": "Semantics.CopyIfTactic.bar", - "name": "bar", - "module": "Semantics.CopyIfTactic" - }, - { - "kind": "theorem", - "id": "Semantics.CopyIfTactic.baz", - "name": "baz", - "module": "Semantics.CopyIfTactic" - }, - { - "kind": "module", - "id": "Semantics.Core.FoldedPointManifold", - "name": "FoldedPointManifold", - "path": "Semantics/Core/FoldedPointManifold.lean", - "namespace": "Semantics.FoldedPointManifold", - "doc": "FoldedPointManifold.lean \u2014 apparent 0D footprint with higher-dimensional interior This module makes explicit the frame distinction: observer-resolved dimension = 0 internal/folded dimension may be > 0 That prevents the model from treating \"0D\" as automatically empty. A point may be an observer-", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 21, - "def_count": 28, - "struct_count": 4, - "inductive_count": 5, - "line_count": 409 - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.improvedFixture_yields_improved", - "name": "improvedFixture_yields_improved", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.decreasedFixture_yields_decreased", - "name": "decreasedFixture_yields_decreased", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.rejectedFixture_yields_reject", - "name": "rejectedFixture_yields_reject", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.heldFixture_yields_hold", - "name": "heldFixture_yields_hold", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.gateCompose_reject_dominates_left", - "name": "gateCompose_reject_dominates_left", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.gateCompose_reject_dominates_right", - "name": "gateCompose_reject_dominates_right", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.gateCompose_hold_blocks_admit", - "name": "gateCompose_hold_blocks_admit", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.gateCompose_admit_neutral", - "name": "gateCompose_admit_neutral", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.deltaResolution_positive_fixture", - "name": "deltaResolution_positive_fixture", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.deltaResolution_negative_fixture", - "name": "deltaResolution_negative_fixture", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.deltaResolution_zero_fixture", - "name": "deltaResolution_zero_fixture", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.folded16Fixture_admits", - "name": "folded16Fixture_admits", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.missingReplayFixture_holds", - "name": "missingReplayFixture_holds", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.overCapFixture_holds", - "name": "overCapFixture_holds", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.ordinaryPointFixture_rejects", - "name": "ordinaryPointFixture_rejects", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.folded16Fixture_loopsBack", - "name": "folded16Fixture_loopsBack", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.noPermeabilityFixture_holdsLoopback", - "name": "noPermeabilityFixture_holdsLoopback", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.ordinaryPointFixture_holdsLoopback", - "name": "ordinaryPointFixture_holdsLoopback", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.mengerConservedFixture_conserved", - "name": "mengerConservedFixture_conserved", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.brokenConservationFixture_rejects", - "name": "brokenConservationFixture_rejects", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.FoldedPointManifold.missingMengerSeedFixture_holds", - "name": "missingMengerSeedFixture_holds", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.isFoldedPoint", - "name": "isFoldedPoint", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.withinDeclaredDimensionalCap", - "name": "withinDeclaredDimensionalCap", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.hasTorsionPotential", - "name": "hasTorsionPotential", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.resolutionLost", - "name": "resolutionLost", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.decideFoldedPoint", - "name": "decideFoldedPoint", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.decideLoopback", - "name": "decideLoopback", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.conservedAcrossLevels", - "name": "conservedAcrossLevels", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.decideConservation", - "name": "decideConservation", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.folded16Fixture", - "name": "folded16Fixture", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.missingReplayFixture", - "name": "missingReplayFixture", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.overCapFixture", - "name": "overCapFixture", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.ordinaryPointFixture", - "name": "ordinaryPointFixture", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.noPermeabilityFixture", - "name": "noPermeabilityFixture", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.mengerConservedFixture", - "name": "mengerConservedFixture", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.brokenConservationFixture", - "name": "brokenConservationFixture", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.missingMengerSeedFixture", - "name": "missingMengerSeedFixture", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.gateCompose", - "name": "gateCompose", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.gateComposeList", - "name": "gateComposeList", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.deltaResolution", - "name": "deltaResolution", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.FoldedPointManifold.interact", - "name": "interact", - "module": "Semantics.Core.FoldedPointManifold" - }, - { - "kind": "module", - "id": "Semantics.Core.MassNumber", - "name": "MassNumber", - "path": "Semantics/Core/MassNumber.lean", - "namespace": "Semantics", - "doc": "MassNumber.lean \u2014 Formal Mass Number as Admissibility Gate Defines the Mass Number as a theorem object with three layers: 1. Admissible reduction packet (A) 2. Residual risk receipt (R) 3. Routing/compression boundary marker (\u03b5 guard) Core rule (comparison form, no division): MassLe m thre", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 15, - "struct_count": 4, - "inductive_count": 0, - "line_count": 204 - }, - { - "kind": "theorem", - "id": "Semantics.Core.MassNumber.MassLe_eq_Prop", - "name": "MassLe_eq_Prop", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.MassLe", - "name": "MassLe", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.MassLeProp", - "name": "MassLeProp", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.MassLeDefault", - "name": "MassLeDefault", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.mkMassNumber", - "name": "mkMassNumber", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.mkMassNumberNat", - "name": "mkMassNumberNat", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.gcclSwapGate", - "name": "gcclSwapGate", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.fammRouteGate", - "name": "fammRouteGate", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.braidTransferGate", - "name": "braidTransferGate", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.tsmTransitionGate", - "name": "tsmTransitionGate", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.hutterCompressionGate", - "name": "hutterCompressionGate", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.depthPolicyOk", - "name": "depthPolicyOk", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.promotionReady", - "name": "promotionReady", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.underverseRule", - "name": "underverseRule", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.exampleNotAdmissible", - "name": "exampleNotAdmissible", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "def", - "id": "Semantics.Core.MassNumber.exampleAdmissible", - "name": "exampleAdmissible", - "module": "Semantics.Core.MassNumber" - }, - { - "kind": "module", - "id": "Semantics.Core.PathEpigeneticManifold", - "name": "PathEpigeneticManifold", - "path": "Semantics/Core/PathEpigeneticManifold.lean", - "namespace": "Semantics.PathEpigeneticManifold", - "doc": "PathEpigeneticManifold.lean \u2014 1D regulatory path over a 16D manifold This module models the \"circuit path as epigenetic control strand\" idea: the 1D path is stable carrier geometry, while finite regulatory marks on that path determine which dimensions of a 16D manifold are expressed, damped, receip", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 7, - "def_count": 21, - "struct_count": 4, - "inductive_count": 3, - "line_count": 282 - }, - { - "kind": "theorem", - "id": "Semantics.Core.PathEpigeneticManifold.admittedPathActivatesTorsion", - "name": "admittedPathActivatesTorsion", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.PathEpigeneticManifold.admittedPathClosesWitness", - "name": "admittedPathClosesWitness", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.PathEpigeneticManifold.admittedPathDecision", - "name": "admittedPathDecision", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.PathEpigeneticManifold.holdPathLeavesTorsionUnchanged", - "name": "holdPathLeavesTorsionUnchanged", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.PathEpigeneticManifold.holdPathDecision", - "name": "holdPathDecision", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.PathEpigeneticManifold.quarantinePathRoutesResidual", - "name": "quarantinePathRoutesResidual", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Core.PathEpigeneticManifold.quarantinePathDecision", - "name": "quarantinePathDecision", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.zero", - "name": "zero", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.get", - "name": "get", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.set", - "name": "set", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.markerAdmissible", - "name": "markerAdmissible", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.applyMarker", - "name": "applyMarker", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.applyPath", - "name": "applyPath", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.anyLayoutViolation", - "name": "anyLayoutViolation", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.anyMissingReceipt", - "name": "anyMissingReceipt", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.anyQuarantineMarker", - "name": "anyQuarantineMarker", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.decidePath", - "name": "decidePath", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.runPath", - "name": "runPath", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.qSmall", - "name": "qSmall", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.qMedium", - "name": "qMedium", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.torsionSite", - "name": "torsionSite", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.dampResidualSite", - "name": "dampResidualSite", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.witnessSite", - "name": "witnessSite", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.missingReceiptSite", - "name": "missingReceiptSite", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.layoutViolationSite", - "name": "layoutViolationSite", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.admittedPath", - "name": "admittedPath", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "def", - "id": "Semantics.Core.PathEpigeneticManifold.holdPath", - "name": "holdPath", - "module": "Semantics.Core.PathEpigeneticManifold" - }, - { - "kind": "module", - "id": "Semantics.Core.QuantumFoamBoundary", - "name": "QuantumFoamBoundary", - "path": "Semantics/Core/QuantumFoamBoundary.lean", - "namespace": "Semantics.QuantumFoamBoundary", - "doc": "QuantumFoamBoundary.lean \u2014 bounded fluctuation guard around U0 Quantum foam is modeled here as an accounting boundary around the zero layer, not as a promotion rule. Exact neutral closure still belongs to U0. Foam only classifies sub-resolution, unreceipted, or stochastic jitter as HOLD.", - "math_kind": "rrc", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 5, - "struct_count": 1, - "inductive_count": 2, - "line_count": 92 - }, - { - "kind": "theorem", - "id": "Semantics.Core.QuantumFoamBoundary.exactZeroFixture_closes", - "name": "exactZeroFixture_closes", - "module": "Semantics.Core.QuantumFoamBoundary" - }, - { - "kind": "theorem", - "id": "Semantics.Core.QuantumFoamBoundary.foamJitterFixture_holds", - "name": "foamJitterFixture_holds", - "module": "Semantics.Core.QuantumFoamBoundary" - }, - { - "kind": "theorem", - "id": "Semantics.Core.QuantumFoamBoundary.outOfBandFixture_rejects", - "name": "outOfBandFixture_rejects", - "module": "Semantics.Core.QuantumFoamBoundary" - }, - { - "kind": "def", - "id": "Semantics.Core.QuantumFoamBoundary.withinJitter", - "name": "withinJitter", - "module": "Semantics.Core.QuantumFoamBoundary" - }, - { - "kind": "def", - "id": "Semantics.Core.QuantumFoamBoundary.decideFoamBoundary", - "name": "decideFoamBoundary", - "module": "Semantics.Core.QuantumFoamBoundary" - }, - { - "kind": "def", - "id": "Semantics.Core.QuantumFoamBoundary.exactZeroFixture", - "name": "exactZeroFixture", - "module": "Semantics.Core.QuantumFoamBoundary" - }, - { - "kind": "def", - "id": "Semantics.Core.QuantumFoamBoundary.foamJitterFixture", - "name": "foamJitterFixture", - "module": "Semantics.Core.QuantumFoamBoundary" - }, - { - "kind": "def", - "id": "Semantics.Core.QuantumFoamBoundary.outOfBandFixture", - "name": "outOfBandFixture", - "module": "Semantics.Core.QuantumFoamBoundary" - }, - { - "kind": "module", - "id": "Semantics.Core.S3CProjectedGeodesicResolution", - "name": "S3CProjectedGeodesicResolution", - "path": "Semantics/Core/S3CProjectedGeodesicResolution.lean", - "namespace": "Semantics.S3CProjectedGeodesicResolution", - "doc": "S3CProjectedGeodesicResolution.lean \u2014 folded-throat resolution gate This module compares the old S3C projected-geodesic score against the refined folded-point theory: baseline S3C score = manifold distance minus shell/projection error folded-throat score = baseline distance plus throat shortcut g", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 10, - "def_count": 15, - "struct_count": 1, - "inductive_count": 2, - "line_count": 245 - }, - { - "kind": "theorem", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureImproves", - "name": "improvedFixtureImproves", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "theorem", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.decreasedFixtureDecreases", - "name": "decreasedFixtureDecreases", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "theorem", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.holdFixtureHolds", - "name": "holdFixtureHolds", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "theorem", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.rejectFixtureRejects", - "name": "rejectFixtureRejects", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "theorem", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.unchangedFixtureUnchanged", - "name": "unchangedFixtureUnchanged", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "theorem", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureBaselineScore", - "name": "improvedFixtureBaselineScore", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "theorem", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureRefinedScore", - "name": "improvedFixtureRefinedScore", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "theorem", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureReason", - "name": "improvedFixtureReason", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "theorem", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.decreasedFixtureReason", - "name": "decreasedFixtureReason", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "theorem", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.unchangedFixtureReason", - "name": "unchangedFixtureReason", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.baselineScore", - "name": "baselineScore", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.shortcutGain", - "name": "shortcutGain", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.genus3Aligned", - "name": "genus3Aligned", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.foldedThroatAdmissible", - "name": "foldedThroatAdmissible", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.refinedScore", - "name": "refinedScore", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.resolutionBudget", - "name": "resolutionBudget", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.resolutionDelta", - "name": "resolutionDelta", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.compareScores", - "name": "compareScores", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.decideResolution", - "name": "decideResolution", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.explainResolution", - "name": "explainResolution", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.improvedFixture", - "name": "improvedFixture", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.decreasedFixture", - "name": "decreasedFixture", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.holdFixture", - "name": "holdFixture", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.rejectFixture", - "name": "rejectFixture", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "def", - "id": "Semantics.Core.S3CProjectedGeodesicResolution.unchangedFixture", - "name": "unchangedFixture", - "module": "Semantics.Core.S3CProjectedGeodesicResolution" - }, - { - "kind": "module", - "id": "Semantics.Core.UnderversePacket", - "name": "UnderversePacket", - "path": "Semantics/Core/UnderversePacket.lean", - "namespace": "Semantics.Underverse", - "doc": "UnderversePacket.lean \u2014 Finite Typed Auditable Shadow-Space Implements the Equation Underverse Doctrine as a fixed-point packet: \"The Underverse is the finite, typed, auditable shadow-space of the Equation Forest: for every positive equation, it records the residual, complement, forbidden route, fa", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 5, - "struct_count": 1, - "inductive_count": 3, - "line_count": 130 - }, - { - "kind": "theorem", - "id": "Semantics.Core.UnderversePacket.mass_conservation_structural", - "name": "mass_conservation_structural", - "module": "Semantics.Core.UnderversePacket" - }, - { - "kind": "def", - "id": "Semantics.Core.UnderversePacket.AbsenceClass", - "name": "AbsenceClass", - "module": "Semantics.Core.UnderversePacket" - }, - { - "kind": "def", - "id": "Semantics.Core.UnderversePacket.minimalReceipt", - "name": "minimalReceipt", - "module": "Semantics.Core.UnderversePacket" - }, - { - "kind": "def", - "id": "Semantics.Core.UnderversePacket.failedBinding", - "name": "failedBinding", - "module": "Semantics.Core.UnderversePacket" - }, - { - "kind": "def", - "id": "Semantics.Core.UnderversePacket.isFixedPoint", - "name": "isFixedPoint", - "module": "Semantics.Core.UnderversePacket" - }, - { - "kind": "def", - "id": "Semantics.Core.UnderversePacket.isWardenActionable", - "name": "isWardenActionable", - "module": "Semantics.Core.UnderversePacket" - }, - { - "kind": "module", - "id": "Semantics.Core.UnderverseZeroLayer", - "name": "UnderverseZeroLayer", - "path": "Semantics/Core/UnderverseZeroLayer.lean", - "namespace": "Semantics.UnderverseZeroLayer", - "doc": "UnderverseZeroLayer.lean \u2014 explicit neutral closure accounting The zero layer is the receipt boundary between observable accounting and Underverse/complement accounting. It prevents \"missing\" or \"opposite\" terms from becoming free variables: a neutral event is admitted only when the net charge clos", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 7, - "struct_count": 1, - "inductive_count": 2, - "line_count": 101 - }, - { - "kind": "theorem", - "id": "Semantics.Core.UnderverseZeroLayer.genus3BalancedFixture_closes", - "name": "genus3BalancedFixture_closes", - "module": "Semantics.Core.UnderverseZeroLayer" - }, - { - "kind": "theorem", - "id": "Semantics.Core.UnderverseZeroLayer.missingReplayFixture_holds", - "name": "missingReplayFixture_holds", - "module": "Semantics.Core.UnderverseZeroLayer" - }, - { - "kind": "theorem", - "id": "Semantics.Core.UnderverseZeroLayer.nonzeroChargeFixture_rejects", - "name": "nonzeroChargeFixture_rejects", - "module": "Semantics.Core.UnderverseZeroLayer" - }, - { - "kind": "def", - "id": "Semantics.Core.UnderverseZeroLayer.netCharge", - "name": "netCharge", - "module": "Semantics.Core.UnderverseZeroLayer" - }, - { - "kind": "def", - "id": "Semantics.Core.UnderverseZeroLayer.closesNeutral", - "name": "closesNeutral", - "module": "Semantics.Core.UnderverseZeroLayer" - }, - { - "kind": "def", - "id": "Semantics.Core.UnderverseZeroLayer.genus3ZeroChargeEvent", - "name": "genus3ZeroChargeEvent", - "module": "Semantics.Core.UnderverseZeroLayer" - }, - { - "kind": "def", - "id": "Semantics.Core.UnderverseZeroLayer.decideZeroLayer", - "name": "decideZeroLayer", - "module": "Semantics.Core.UnderverseZeroLayer" - }, - { - "kind": "def", - "id": "Semantics.Core.UnderverseZeroLayer.genus3BalancedFixture", - "name": "genus3BalancedFixture", - "module": "Semantics.Core.UnderverseZeroLayer" - }, - { - "kind": "def", - "id": "Semantics.Core.UnderverseZeroLayer.missingReplayFixture", - "name": "missingReplayFixture", - "module": "Semantics.Core.UnderverseZeroLayer" - }, - { - "kind": "def", - "id": "Semantics.Core.UnderverseZeroLayer.nonzeroChargeFixture", - "name": "nonzeroChargeFixture", - "module": "Semantics.Core.UnderverseZeroLayer" - }, - { - "kind": "module", - "id": "Semantics.CosmicStructure", - "name": "CosmicStructure", - "path": "Semantics/CosmicStructure.lean", - "namespace": "Semantics.CosmicStructure", - "doc": "", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 8, - "struct_count": 5, - "inductive_count": 3, - "line_count": 185 - }, - { - "kind": "def", - "id": "Semantics.CosmicStructure.zoneBoundaryFluidity", - "name": "zoneBoundaryFluidity", - "module": "Semantics.CosmicStructure" - }, - { - "kind": "def", - "id": "Semantics.CosmicStructure.zoneDensityContrast", - "name": "zoneDensityContrast", - "module": "Semantics.CosmicStructure" - }, - { - "kind": "def", - "id": "Semantics.CosmicStructure.zoneEmissionStrength", - "name": "zoneEmissionStrength", - "module": "Semantics.CosmicStructure" - }, - { - "kind": "def", - "id": "Semantics.CosmicStructure.cosmicSignatureOf", - "name": "cosmicSignatureOf", - "module": "Semantics.CosmicStructure" - }, - { - "kind": "def", - "id": "Semantics.CosmicStructure.classifyCosmicStability", - "name": "classifyCosmicStability", - "module": "Semantics.CosmicStructure" - }, - { - "kind": "def", - "id": "Semantics.CosmicStructure.processCosmicTransition", - "name": "processCosmicTransition", - "module": "Semantics.CosmicStructure" - }, - { - "kind": "def", - "id": "Semantics.CosmicStructure.defaultHaloZone", - "name": "defaultHaloZone", - "module": "Semantics.CosmicStructure" - }, - { - "kind": "def", - "id": "Semantics.CosmicStructure.defaultCosmicStructure", - "name": "defaultCosmicStructure", - "module": "Semantics.CosmicStructure" - }, - { - "kind": "module", - "id": "Semantics.CostEffectiveVerification", - "name": "CostEffectiveVerification", - "path": "Semantics/CostEffectiveVerification.lean", - "namespace": "Semantics.CostEffectiveVerification", - "doc": "CostEffectiveVerification.lean \u2014 Cost-Effective Verification Target Theorem This module formalizes the cost-effective verification target: prove that the manifold can group ontologically different systems together when they share the same behavioral operator, rather than trying to prove the full gr", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 4, - "struct_count": 7, - "inductive_count": 0, - "line_count": 144 - }, - { - "kind": "theorem", - "id": "Semantics.CostEffectiveVerification.manifoldGroupsOntologicallyDifferentSystems", - "name": "manifoldGroupsOntologicallyDifferentSystems", - "module": "Semantics.CostEffectiveVerification" - }, - { - "kind": "theorem", - "id": "Semantics.CostEffectiveVerification.cheapestVerificationTarget", - "name": "cheapestVerificationTarget", - "module": "Semantics.CostEffectiveVerification" - }, - { - "kind": "def", - "id": "Semantics.CostEffectiveVerification.shareSameOperator", - "name": "shareSameOperator", - "module": "Semantics.CostEffectiveVerification" - }, - { - "kind": "def", - "id": "Semantics.CostEffectiveVerification.ontologicallyDifferent", - "name": "ontologicallyDifferent", - "module": "Semantics.CostEffectiveVerification" - }, - { - "kind": "def", - "id": "Semantics.CostEffectiveVerification.groupByOperator", - "name": "groupByOperator", - "module": "Semantics.CostEffectiveVerification" - }, - { - "kind": "def", - "id": "Semantics.CostEffectiveVerification.testHypothesis", - "name": "testHypothesis", - "module": "Semantics.CostEffectiveVerification" - }, - { - "kind": "module", - "id": "Semantics.CouchFilterNormalization", - "name": "CouchFilterNormalization", - "path": "Semantics/CouchFilterNormalization.lean", - "namespace": "Semantics.CouchFilterNormalization", - "doc": "# Couch Filter Normalization Witness This module records the finite, proof-checkable part of `data/couch_filter_normalization.json` and `data/couch_equation_forest_analysis.json`. The floating trajectory data remains an external empirical artifact. The Genome18 position, PIST admissibility flag, ", - "math_kind": "routing", - "sorry_count": 0, - "theorem_count": 28, - "def_count": 18, - "struct_count": 3, - "inductive_count": 1, - "line_count": 380 - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchGenomeAddress_eq", - "name": "couchGenomeAddress_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchGenomeAddress_range", - "name": "couchGenomeAddress_range", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchPISTWitness_admissible", - "name": "couchPISTWitness_admissible", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchFNumber_kappa050_eq", - "name": "couchFNumber_kappa050_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchFNumber_kappa250_eq", - "name": "couchFNumber_kappa250_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchFNumber_fullSweep_eq", - "name": "couchFNumber_fullSweep_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchFNumber_increases_kappa050_to_kappa250", - "name": "couchFNumber_increases_kappa050_to_kappa250", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchFNumber_strictlyRisesAcrossSweep", - "name": "couchFNumber_strictlyRisesAcrossSweep", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchFNumber_kappa250_high", - "name": "couchFNumber_kappa250_high", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchFNumber_kappa050_not_high", - "name": "couchFNumber_kappa050_not_high", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchFNumber_highClassification_fullSweep", - "name": "couchFNumber_highClassification_fullSweep", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchURotated_kappa050_eq", - "name": "couchURotated_kappa050_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchURotated_kappa250_eq", - "name": "couchURotated_kappa250_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchURotated_fullSweep_eq", - "name": "couchURotated_fullSweep_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchURotated_increases_kappa050_to_kappa250", - "name": "couchURotated_increases_kappa050_to_kappa250", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchURotated_strictlyRisesAcrossSweep", - "name": "couchURotated_strictlyRisesAcrossSweep", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchYAxisContainer_kappa050_eq", - "name": "couchYAxisContainer_kappa050_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchYAxisContainer_kappa250_eq", - "name": "couchYAxisContainer_kappa250_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchYAxisContainer_fullSweep_eq", - "name": "couchYAxisContainer_fullSweep_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchYAxisContainer_r_constant", - "name": "couchYAxisContainer_r_constant", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchRoutePressure_fullSweep_eq", - "name": "couchRoutePressure_fullSweep_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchRoutingMode_fullSweep_eq", - "name": "couchRoutingMode_fullSweep_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchRoutingAction_fullSweep_eq", - "name": "couchRoutingAction_fullSweep_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchForestGenome_eq", - "name": "couchForestGenome_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchNormalizedRouteMode_eq", - "name": "couchNormalizedRouteMode_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchNormalizedRouteAction_eq", - "name": "couchNormalizedRouteAction_eq", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchCouplingSummary_sensitive", - "name": "couchCouplingSummary_sensitive", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "theorem", - "id": "Semantics.CouchFilterNormalization.couchAvgCurvature_kappa050_lt_kappa250", - "name": "couchAvgCurvature_kappa050_lt_kappa250", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchCurvatureSummary", - "name": "couchCurvatureSummary", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchGenome", - "name": "couchGenome", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchGenomeAddress", - "name": "couchGenomeAddress", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchPISTWitness", - "name": "couchPISTWitness", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchFNumberMilli", - "name": "couchFNumberMilli", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchHighFThresholdMilli", - "name": "couchHighFThresholdMilli", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.isHighFNumberCouch", - "name": "isHighFNumberCouch", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchKappaMilli", - "name": "couchKappaMilli", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchURotatedMilli", - "name": "couchURotatedMilli", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchRValueConstantMilli", - "name": "couchRValueConstantMilli", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchYAxisContainer", - "name": "couchYAxisContainer", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchRoutePressureMilli", - "name": "couchRoutePressureMilli", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchAtlasThresholdMilli", - "name": "couchAtlasThresholdMilli", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchRejectThresholdMilli", - "name": "couchRejectThresholdMilli", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchRoutingMode", - "name": "couchRoutingMode", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchRoutingAction", - "name": "couchRoutingAction", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchForestSignals", - "name": "couchForestSignals", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "def", - "id": "Semantics.CouchFilterNormalization.couchNormalizedRouteMode", - "name": "couchNormalizedRouteMode", - "module": "Semantics.CouchFilterNormalization" - }, - { - "kind": "module", - "id": "Semantics.CoulombComplexity", - "name": "CoulombComplexity", - "path": "Semantics/CoulombComplexity.lean", - "namespace": "Semantics.CoulombComplexity", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CoulombComplexity.lean \u2014 Signed Inter-Node Tension Model via Coulomb Form Extends the Mass-Number Field complexity model with charge polarity: Z (Structured Mass) and N (Stress Mass) act as charge pola", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 24, - "struct_count": 8, - "inductive_count": 2, - "line_count": 549 - }, - { - "kind": "theorem", - "id": "Semantics.CoulombComplexity.likeChargesRepel", - "name": "likeChargesRepel", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "theorem", - "id": "Semantics.CoulombComplexity.oppositeChargesAttract", - "name": "oppositeChargesAttract", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "theorem", - "id": "Semantics.CoulombComplexity.neutralNodesNoForce", - "name": "neutralNodesNoForce", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.Charge", - "name": "Charge", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.compute", - "name": "compute", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.isPositive", - "name": "isPositive", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.isNegative", - "name": "isNegative", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.isNeutral", - "name": "isNeutral", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.absVal", - "name": "absVal", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.classify", - "name": "classify", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.interactsAttractively", - "name": "interactsAttractively", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.interactsRepulsively", - "name": "interactsRepulsively", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.coulombForce", - "name": "coulombForce", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.t5Distance", - "name": "t5Distance", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.create", - "name": "create", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.forceWith", - "name": "forceWith", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.routingDecision", - "name": "routingDecision", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.default", - "name": "default", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.classifyPhase", - "name": "classifyPhase", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.filterNodes", - "name": "filterNodes", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.empty", - "name": "empty", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.shield", - "name": "shield", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "def", - "id": "Semantics.CoulombComplexity.isShielded", - "name": "isShielded", - "module": "Semantics.CoulombComplexity" - }, - { - "kind": "module", - "id": "Semantics.CriticalityDynamics", - "name": "CriticalityDynamics", - "path": "Semantics/CriticalityDynamics.lean", - "namespace": "Semantics.CriticalityDynamics", - "doc": "", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 31, - "struct_count": 7, - "inductive_count": 3, - "line_count": 310 - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.potentialOf", - "name": "potentialOf", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.classifyPotentialRegime", - "name": "classifyPotentialRegime", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.siteUnstable", - "name": "siteUnstable", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.edgeActive", - "name": "edgeActive", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.siteEdges", - "name": "siteEdges", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.activeNeighborCount", - "name": "activeNeighborCount", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.redistributedLoadPerEdge", - "name": "redistributedLoadPerEdge", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.toppledLoad", - "name": "toppledLoad", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.remainingAfterTopple", - "name": "remainingAfterTopple", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.classifyAvalancheClass", - "name": "classifyAvalancheClass", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.toppleStepOf", - "name": "toppleStepOf", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.applyToppleToSite", - "name": "applyToppleToSite", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.receiveLoad", - "name": "receiveLoad", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.edgeContribution", - "name": "edgeContribution", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.findSite", - "name": "findSite", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.rewriteSite", - "name": "rewriteSite", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.applyIncomingForEdge", - "name": "applyIncomingForEdge", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.distributeFromSite", - "name": "distributeFromSite", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.firstUnstableSite", - "name": "firstUnstableSite", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "def", - "id": "Semantics.CriticalityDynamics.temporalPotentialBias", - "name": "temporalPotentialBias", - "module": "Semantics.CriticalityDynamics" - }, - { - "kind": "module", - "id": "Semantics.CrossDimensionalFilter", - "name": "CrossDimensionalFilter", - "path": "Semantics/CrossDimensionalFilter.lean", - "namespace": "Semantics.CrossDimensionalFilter", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CrossDimensionalFilter.lean \u2014 Matryoshka-Brane Cross-Shell Communication Problem: A 3D human wants to talk to a 2D flatlander. 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Authors: Research Stack Team DeltaGCLCompression.lean \u2014 Delta GCL Compression for Metadata This module formalizes the three-layer compression stack for metadata: 1. Delta Encoding: Store only changes from previous state 2. PTOS Di", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 62, - "def_count": 37, - "struct_count": 16, - "inductive_count": 10, - "line_count": 1433 - }, - { - "kind": "theorem", - "id": "Semantics.DeltaGCLCompression.computeDelta_identical", - "name": "computeDelta_identical", - "module": "Semantics.DeltaGCLCompression" - }, - { - "kind": "theorem", - "id": "Semantics.DeltaGCLCompression.computeDelta_different", - "name": "computeDelta_different", - "module": "Semantics.DeltaGCLCompression" - }, - { - "kind": "theorem", - "id": "Semantics.DeltaGCLCompression.applyPTOSDictionary_length", - "name": "applyPTOSDictionary_length", - "module": "Semantics.DeltaGCLCompression" - }, - { - "kind": "theorem", - "id": "Semantics.DeltaGCLCompression.encodeCodon_unknown_length", - "name": "encodeCodon_unknown_length", - "module": "Semantics.DeltaGCLCompression" - }, - { - "kind": "theorem", - "id": "Semantics.DeltaGCLCompression.encodeToDeltaGCL_full_marker", - "name": "encodeToDeltaGCL_full_marker", - 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}, - { - "kind": "theorem", - "id": "Semantics.DeltaGCLCompression.gcl_evolution_preserves_compression", - "name": "gcl_evolution_preserves_compression", - "module": "Semantics.DeltaGCLCompression" - }, - { - "kind": "theorem", - "id": "Semantics.DeltaGCLCompression.gcl_evolution_generation_bounded", - "name": "gcl_evolution_generation_bounded", - "module": "Semantics.DeltaGCLCompression" - }, - { - "kind": "theorem", - "id": "Semantics.DeltaGCLCompression.gcl_evolution_formally_verified", - "name": "gcl_evolution_formally_verified", - "module": "Semantics.DeltaGCLCompression" - }, - { - "kind": "theorem", - "id": "Semantics.DeltaGCLCompression.angrySphinx_energy_asymmetry_exponential", - "name": "angrySphinx_energy_asymmetry_exponential", - "module": "Semantics.DeltaGCLCompression" - }, - { - "kind": "theorem", - "id": "Semantics.DeltaGCLCompression.angrySphinx_gear_multiplicative", - "name": "angrySphinx_gear_multiplicative", - "module": "Semantics.DeltaGCLCompression" - }, - { - "kind": "theorem", - 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Authors: Research Stack Team DiffusionSNRBias.lean \u2014 SNR-t Bias Correction for Diffusion Probabilistic Models This module formalizes the SNR-t bias phenomenon and differential correction method from \"Elucidating the SNR-t Bias of ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 20, - "struct_count": 11, - "inductive_count": 1, - "line_count": 351 - }, - { - "kind": "theorem", - "id": "Semantics.DiffusionSNRBias.mul_le_mul_of_nonneg_right", - "name": "mul_le_mul_of_nonneg_right", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "theorem", - "id": "Semantics.DiffusionSNRBias.snrBoundedByModelParams", - "name": "snrBoundedByModelParams", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.zero", - "name": "zero", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.one", - "name": "one", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.epsilon", - "name": "epsilon", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.ofNat", - "name": "ofNat", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.toFloat", - "name": "toFloat", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.add", - "name": "add", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.sub", - "name": "sub", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.mul", - "name": "mul", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.div", - "name": "div", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.sqrt", - "name": "sqrt", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.clip", - "name": "clip", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.meanSquaredNorm", - "name": "meanSquaredNorm", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.fromSignalNoise", - "name": "fromSignalNoise", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.lessThan", - "name": "lessThan", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.detectBias", - "name": "detectBias", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.differentialSignal", - "name": "differentialSignal", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.differentialCorrection", - "name": "differentialCorrection", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.defaultLinear", - "name": "defaultLinear", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.energyConservation", - "name": "energyConservation", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "def", - "id": "Semantics.DiffusionSNRBias.evaluateCorrection", - "name": "evaluateCorrection", - "module": "Semantics.DiffusionSNRBias" - }, - { - "kind": "module", - "id": "Semantics.DimensionalConsistency", - "name": "DimensionalConsistency", - "path": "Semantics/DimensionalConsistency.lean", - "namespace": "Semantics.DimensionalConsistency", - "doc": "DimensionalConsistency.lean \u2014 Formal Admission of Dimensional Fitting The BraidCore framework claims that the Menger sponge void fraction z = 7/27 and the dislocation correction 133/137 are \"derived\" from geometric construction. However, when these dimensionless ratios are used to predict physical ", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 7, - "def_count": 18, - "struct_count": 1, - "inductive_count": 2, - "line_count": 343 - }, - { - "kind": "theorem", - "id": "Semantics.DimensionalConsistency.for", - "name": "for", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "theorem", - "id": "Semantics.DimensionalConsistency.p04RequiresP0", - "name": "p04RequiresP0", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "theorem", - "id": "Semantics.DimensionalConsistency.p0RequiresP0", - "name": "p0RequiresP0", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "theorem", - "id": "Semantics.DimensionalConsistency.p01DoesNotRequireP0", - "name": "p01DoesNotRequireP0", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "theorem", - "id": "Semantics.DimensionalConsistency.countRequiresP0_correct", - "name": "countRequiresP0_correct", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "theorem", - "id": "Semantics.DimensionalConsistency.dimensionlessEntries_length", - "name": "dimensionlessEntries_length", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "theorem", - "id": "Semantics.DimensionalConsistency.p04DimensionSourceIsFitted", - "name": "p04DimensionSourceIsFitted", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.PhysicalDimension", - "name": "PhysicalDimension", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.DimensionSource", - "name": "DimensionSource", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.p01Dimensional", - "name": "p01Dimensional", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.p02Dimensional", - "name": "p02Dimensional", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.p03Dimensional", - "name": "p03Dimensional", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.p04Dimensional", - "name": "p04Dimensional", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.p05Dimensional", - "name": "p05Dimensional", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.p06Dimensional", - "name": "p06Dimensional", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.p07Dimensional", - "name": "p07Dimensional", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.p08Dimensional", - "name": "p08Dimensional", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.p09Dimensional", - "name": "p09Dimensional", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.p10Dimensional", - "name": "p10Dimensional", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.p11Dimensional", - "name": "p11Dimensional", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.p0ScaleFactor", - "name": "p0ScaleFactor", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.allDimensionalEntries", - "name": "allDimensionalEntries", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.countRequiresP0", - "name": "countRequiresP0", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.countDimensionless", - "name": "countDimensionless", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "def", - "id": "Semantics.DimensionalConsistency.dimensionlessEntries", - "name": "dimensionlessEntries", - "module": "Semantics.DimensionalConsistency" - }, - { - "kind": "module", - "id": "Semantics.DiscreteContinuousBound", - "name": "DiscreteContinuousBound", - "path": "Semantics/DiscreteContinuousBound.lean", - "namespace": "Semantics.DiscreteContinuousBound", - "doc": "# DiscreteContinuousBound.lean Exponential error bound for discrete\u2013continuous coupling via Gr\u00f6nwall's inequality. Given the 2\u00d72 coupling matrix A = (\u03b5/2) \u00b7 [[0,1],[1,0]], we prove: 1. \u2016A\u2016 = |\u03b5|/2 (operator norm) 2. \u2016e(t)\u2016 \u2264 \u2016e(0)\u2016 \u00b7 exp(|\u03b5|/2 \u00b7 t) (Gr\u00f6nwall bound on coupling error", - "math_kind": "analysis", - "sorry_count": 0, - "theorem_count": 8, - "def_count": 2, - "struct_count": 0, - "inductive_count": 0, - "line_count": 209 - }, - { - "kind": "theorem", - "id": "Semantics.DiscreteContinuousBound.A_entry_bound", - "name": "A_entry_bound", - "module": "Semantics.DiscreteContinuousBound" - }, - { - "kind": "theorem", - "id": "Semantics.DiscreteContinuousBound.coupling_opNorm", - "name": "coupling_opNorm", - "module": "Semantics.DiscreteContinuousBound" - }, - { - "kind": "theorem", - "id": "Semantics.DiscreteContinuousBound.coupling_opNNNorm", - "name": "coupling_opNNNorm", - "module": "Semantics.DiscreteContinuousBound" - }, - { - "kind": "theorem", - "id": "Semantics.DiscreteContinuousBound.coupling_lipschitzWith", - "name": "coupling_lipschitzWith", - "module": "Semantics.DiscreteContinuousBound" - }, - { - "kind": "theorem", - "id": "Semantics.DiscreteContinuousBound.norm_le_gronwallBound_of_coupling", - "name": "norm_le_gronwallBound_of_coupling", - "module": "Semantics.DiscreteContinuousBound" - }, - { - "kind": "theorem", - "id": "Semantics.DiscreteContinuousBound.discrete_continuous_bound", - "name": "discrete_continuous_bound", - "module": "Semantics.DiscreteContinuousBound" - }, - { - "kind": "theorem", - "id": "Semantics.DiscreteContinuousBound.trajectory_dist_bound", - "name": "trajectory_dist_bound", - "module": "Semantics.DiscreteContinuousBound" - }, - { - "kind": "theorem", - "id": "Semantics.DiscreteContinuousBound.trajectory_dist_bound_univ", - "name": "trajectory_dist_bound_univ", - "module": "Semantics.DiscreteContinuousBound" - }, - { - "kind": "def", - "id": "Semantics.DiscreteContinuousBound.M\u2080", - "name": "M\u2080", - "module": "Semantics.DiscreteContinuousBound" - }, - { - "kind": "def", - "id": "Semantics.DiscreteContinuousBound.A", - "name": "A", - "module": "Semantics.DiscreteContinuousBound" - }, - { - "kind": "mathlib", - "id": "Mathlib.Analysis.ODE.Gronwall", - "name": "Mathlib.Analysis.ODE.Gronwall" - }, - { - "kind": "module", - "id": "Semantics.DistributedTraining", - "name": "DistributedTraining", - "path": "Semantics/DistributedTraining.lean", - "namespace": "Semantics.DistributedTraining", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team DistributedTraining.lean \u2014 Distributed Training Configuration in Lean This module formalizes distributed training configuration for NII cores to become n-semantic morphic. It leverages: ENE (Endless No", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 29, - "struct_count": 10, - "inductive_count": 4, - "line_count": 362 - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.zero", - "name": "zero", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.one", - "name": "one", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.ofNat", - "name": "ofNat", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.qfox", - "name": "qfox", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.architect", - "name": "architect", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.judge", - "name": "judge", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.awsNode", - "name": "awsNode", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.netcupRouter", - "name": "netcupRouter", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.racknerdNode", - "name": "racknerdNode", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.allNodes", - "name": "allNodes", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.totalCores", - "name": "totalCores", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.totalRAM", - "name": "totalRAM", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.totalStorage", - "name": "totalStorage", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.gpuNodeCount", - "name": "gpuNodeCount", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.fromNodes", - "name": "fromNodes", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.defaultResources", - "name": "defaultResources", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.defaultConfiguration", - "name": "defaultConfiguration", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.naturalLanguageDataset", - "name": "naturalLanguageDataset", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.codingLanguageDataset", - "name": "codingLanguageDataset", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "def", - "id": "Semantics.DistributedTraining.calculateAssignment", - "name": "calculateAssignment", - "module": "Semantics.DistributedTraining" - }, - { - "kind": "module", - "id": "Semantics.DlessScalarField", - "name": "DlessScalarField", - "path": "Semantics/DlessScalarField.lean", - "namespace": "DlessScalar", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550 Dimensionless conformal factors \u03a9(entity) that warp the equation manifold metric, making safety-critical equations more discoverable. Adapted from MOIM's Dless Scalar Field for equation-specific use: 1. Conformal Warpin", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 10, - "struct_count": 3, - "inductive_count": 0, - "line_count": 193 - }, - { - "kind": "theorem", - "id": "Semantics.DlessScalarField.omega_positive", - "name": "omega_positive", - "module": "Semantics.DlessScalarField" - }, - { - "kind": "theorem", - "id": "Semantics.DlessScalarField.warped_distance_monotonic", - "name": "warped_distance_monotonic", - "module": "Semantics.DlessScalarField" - }, - { - "kind": "theorem", - "id": "Semantics.DlessScalarField.combine_preserves_positivity", - "name": "combine_preserves_positivity", - "module": "Semantics.DlessScalarField" - }, - { - "kind": "def", - "id": "Semantics.DlessScalarField.omegaFromStatus", - "name": "omegaFromStatus", - "module": "Semantics.DlessScalarField" - }, - { - "kind": "def", - "id": "Semantics.DlessScalarField.omegaFromCrossRefs", - "name": "omegaFromCrossRefs", - "module": "Semantics.DlessScalarField" - }, - { - "kind": "def", - "id": "Semantics.DlessScalarField.omegaFromComplexity", - "name": "omegaFromComplexity", - "module": "Semantics.DlessScalarField" - }, - { - "kind": "def", - "id": "Semantics.DlessScalarField.combineOmega", - "name": "combineOmega", - "module": "Semantics.DlessScalarField" - }, - { - "kind": "def", - "id": "Semantics.DlessScalarField.warpedDistance", - "name": "warpedDistance", - "module": "Semantics.DlessScalarField" - }, - { - "kind": "def", - "id": "Semantics.DlessScalarField.warpManifoldPoint", - "name": "warpManifoldPoint", - "module": "Semantics.DlessScalarField" - }, - { - "kind": "def", - "id": "Semantics.DlessScalarField.computeEquationOmega", - "name": "computeEquationOmega", - "module": "Semantics.DlessScalarField" - }, - { - "kind": "def", - "id": "Semantics.DlessScalarField.createWarpedEquation", - "name": "createWarpedEquation", - "module": "Semantics.DlessScalarField" - }, - { - "kind": "def", - "id": "Semantics.DlessScalarField.omegaSearchResult", - "name": "omegaSearchResult", - "module": "Semantics.DlessScalarField" - }, - { - "kind": "def", - "id": "Semantics.DlessScalarField.sortOmegaResults", - "name": "sortOmegaResults", - "module": "Semantics.DlessScalarField" - }, - { - "kind": "module", - "id": "Semantics.DomainDetector", - "name": "DomainDetector", - "path": "Semantics/DomainDetector.lean", - "namespace": "Semantics.DomainDetector", - "doc": "DomainDetector.lean \u2014 Structure-Based Prediction Classification Determines whether a predicted value is structurally related to the Menger-Pigeonhole void fraction z = 7/27, and whether its error falls in the correctable 2\u201315% sweet spot. This replaces the ad-hoc keyword-based detector with a rigo", - "math_kind": "rrc", - "sorry_count": 0, - "theorem_count": 31, - "def_count": 7, - "struct_count": 0, - "inductive_count": 0, - "line_count": 339 - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.for", - "name": "for", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.zCanonical_isZDirect", - "name": "zCanonical_isZDirect", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.exactZ_isZDirect", - "name": "exactZ_isZDirect", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.half_isNotZDirect", - "name": "half_isNotZDirect", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.nearZ_isZDirect", - "name": "nearZ_isZDirect", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.outsideTolerance_isNotZDirect", - "name": "outsideTolerance_isNotZDirect", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.sweetSpotBoundaryLow", - "name": "sweetSpotBoundaryLow", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.sweetSpotBoundaryHigh", - "name": "sweetSpotBoundaryHigh", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.sweetSpotMid", - "name": "sweetSpotMid", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.zeroError_notInSweetSpot", - "name": "zeroError_notInSweetSpot", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.largeError_notInSweetSpot", - "name": "largeError_notInSweetSpot", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.speciesArea_isZDirect", - "name": "speciesArea_isZDirect", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.mott_isZDirect", - "name": "mott_isZDirect", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.percolationBcc_isZDirect", - "name": "percolationBcc_isZDirect", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.magneticNi_isZDirect", - "name": "magneticNi_isZDirect", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.fishingP5_notZDirect", - "name": "fishingP5_notZDirect", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.jupiter_notZDirect", - "name": "jupiter_notZDirect", - "module": "Semantics.DomainDetector" - }, - { - "kind": "theorem", - "id": "Semantics.DomainDetector.weakValue_notZDirect", - "name": "weakValue_notZDirect", - "module": "Semantics.DomainDetector" - }, - { - 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"id": "Semantics.E8RRCAnalysis.testE8RRCAnalysis", - "name": "testE8RRCAnalysis", - "module": "Semantics.E8RRCAnalysis" - }, - { - "kind": "module", - "id": "Semantics.E8Sidon", - "name": "E8Sidon", - "path": "Semantics/E8Sidon.lean", - "namespace": "Semantics.E8Sidon", - "doc": "## Status of Each Theorem | Theorem | Status | Sorry count | |---------|--------|-------------| | \u00a71-2: E8 constants, \u03c3\u2083/\u03c3\u2087 definitions | Complete | 0 | | \u00a73: sigma3_one, sigma7_one | Complete | 0 | | \u00a74: sigma3_prime, sigma7_prime | Complete | 0 | | \u00a75: sigma3_mono, sigma7_mono | Complete | 0 | | ", - "math_kind": "number_theory", - "sorry_count": 5, - "theorem_count": 60, - "def_count": 23, - "struct_count": 0, - "inductive_count": 0, - "line_count": 1134 - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_root_split", - "name": "e8_root_split", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_coxeter_relation", - "name": "e8_coxeter_relation", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_coxeter_near_singer", - "name": "e8_coxeter_near_singer", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.sigma3_one", - "name": "sigma3_one", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.sigma7_one", - "name": "sigma7_one", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.sigma3_ne_zero", - "name": "sigma3_ne_zero", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.sigma7_ne_zero", - "name": "sigma7_ne_zero", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.sigma3_prime", - "name": "sigma3_prime", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.sigma7_prime", - "name": "sigma7_prime", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.sigma3_dvd_le", - "name": "sigma3_dvd_le", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.sigma7_dvd_le", - "name": "sigma7_dvd_le", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.sigma3_prime_lt", - "name": "sigma3_prime_lt", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.sigma3_multiplicative", - "name": "sigma3_multiplicative", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.sigma7_multiplicative", - "name": "sigma7_multiplicative", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_conv_n2", - "name": "e8_conv_n2", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_conv_n3", - "name": "e8_conv_n3", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_conv_n4", - "name": "e8_conv_n4", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_conv_n5", - "name": "e8_conv_n5", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_conv_n10", - "name": "e8_conv_n10", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_conv_n20", - "name": "e8_conv_n20", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_conv_n50", - "name": "e8_conv_n50", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_conv_n100", - "name": "e8_conv_n100", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.sigma3_le_sigma7", - "name": "sigma3_le_sigma7", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_convolution", - "name": "e8_convolution", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_conv_batch", - "name": "e8_conv_batch", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_conv_nonneg", - "name": "e8_conv_nonneg", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.e8_conv_le_sigma7", - "name": "e8_conv_le_sigma7", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.sq_le_two_mul", - "name": "sq_le_two_mul", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.fiber_partition", - "name": "fiber_partition", - "module": "Semantics.E8Sidon" - }, - { - "kind": "theorem", - "id": "Semantics.E8Sidon.sidon_fiber_le_two", - "name": "sidon_fiber_le_two", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.e8RootCount", - "name": "e8RootCount", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.e8PositiveRoots", - "name": "e8PositiveRoots", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.e8DualCoxeter", - "name": "e8DualCoxeter", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.e8CoxeterNumber", - "name": "e8CoxeterNumber", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.sigmaK", - "name": "sigmaK", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.sigma3", - "name": "sigma3", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.sigma7", - "name": "sigma7", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.convolutionLHS", - "name": "convolutionLHS", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.convolutionRHS", - "name": "convolutionRHS", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.IsSidonSet", - "name": "IsSidonSet", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.sumFiber", - "name": "sumFiber", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.additiveEnergy", - "name": "additiveEnergy", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.collisionCount", - "name": "collisionCount", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.pairSumCount", - "name": "pairSumCount", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.totalCollisionExcess", - "name": "totalCollisionExcess", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.convWeight", - "name": "convWeight", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.E8Admissible", - "name": "E8Admissible", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.E8LevelSet", - "name": "E8LevelSet", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.e8ConvDivisor", - "name": "e8ConvDivisor", - "module": "Semantics.E8Sidon" - }, - { - "kind": "def", - "id": "Semantics.E8Sidon.e8SimpleRootStrand", - "name": "e8SimpleRootStrand", - "module": "Semantics.E8Sidon" - }, - { - "kind": "module", - "id": "Semantics.ENEApi", - "name": "ENEApi", - "path": "Semantics/ENEApi.lean", - "namespace": "Semantics.ENEApi", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team ENEApi.lean \u2014 ENE Security and Key Derivation Replaces infra/ene_api.py security logic with a formal Lean module. Defines security operations for ENE (Endless Node Edges) sensitive data handling. Per ", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 10, - "struct_count": 4, - "inductive_count": 1, - "line_count": 191 - }, - { - "kind": "theorem", - "id": "Semantics.ENEApi.secretAccessAll", - "name": "secretAccessAll", - "module": "Semantics.ENEApi" - }, - { - "kind": "theorem", - "id": "Semantics.ENEApi.publicAccessOnly", - "name": "publicAccessOnly", - "module": "Semantics.ENEApi" - }, - { - "kind": "def", - "id": "Semantics.ENEApi.checkAccess", - "name": "checkAccess", - "module": "Semantics.ENEApi" - }, - { - "kind": "def", - "id": "Semantics.ENEApi.xorSemanticAxes", - "name": "xorSemanticAxes", - "module": "Semantics.ENEApi" - }, - { - "kind": "def", - "id": "Semantics.ENEApi.goldenRatioMix", - "name": "goldenRatioMix", - "module": "Semantics.ENEApi" - }, - { - "kind": "def", - "id": "Semantics.ENEApi.deriveKeyFromSemantic", - "name": "deriveKeyFromSemantic", - "module": "Semantics.ENEApi" - }, - { - "kind": "def", - "id": "Semantics.ENEApi.computeIntegrityHash", - "name": "computeIntegrityHash", - "module": "Semantics.ENEApi" - }, - { - "kind": "def", - "id": "Semantics.ENEApi.encryptData", - "name": "encryptData", - "module": "Semantics.ENEApi" - }, - { - "kind": "def", - "id": "Semantics.ENEApi.decryptData", - "name": "decryptData", - "module": "Semantics.ENEApi" - }, - { - "kind": "def", - "id": "Semantics.ENEApi.initSecurityManager", - "name": "initSecurityManager", - "module": "Semantics.ENEApi" - }, - { - "kind": "def", - "id": "Semantics.ENEApi.storeSensitiveData", - "name": "storeSensitiveData", - "module": "Semantics.ENEApi" - }, - { - "kind": "def", - "id": "Semantics.ENEApi.retrieveSensitiveData", - "name": "retrieveSensitiveData", - "module": "Semantics.ENEApi" - }, - { - "kind": "module", - "id": "Semantics.ENEContextTokenCache", - "name": "ENEContextTokenCache", - "path": "Semantics/ENEContextTokenCache.lean", - "namespace": "Semantics.ENEContextTokenCache", - "doc": "# ENE Context Token Cache Lean-owned accounting for context token usage across ENE-backed sessions. External shims may serialize records, but cache lawfulness, cost, and invariant extraction live here.", - "math_kind": "routing", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 25, - "struct_count": 4, - "inductive_count": 3, - "line_count": 192 - }, - { - "kind": "theorem", - "id": "Semantics.ENEContextTokenCache.usageTotalZero", - "name": "usageTotalZero", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "theorem", - "id": "Semantics.ENEContextTokenCache.emptyCacheWithinBudget", - "name": "emptyCacheWithinBudget", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "theorem", - "id": "Semantics.ENEContextTokenCache.insertRecordTotalWitness", - "name": "insertRecordTotalWitness", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "theorem", - "id": "Semantics.ENEContextTokenCache.minimalUsageCostTotal", - "name": "minimalUsageCostTotal", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.zeroUsage", - "name": "zeroUsage", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.usageTotal", - "name": "usageTotal", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.recordTotal", - "name": "recordTotal", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.addUsage", - "name": "addUsage", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.totalUsage", - "name": "totalUsage", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.totalTokens", - "name": "totalTokens", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.budgetRemaining", - "name": "budgetRemaining", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.cacheWithinBudget", - "name": "cacheWithinBudget", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.tokenUsagePositions", - "name": "tokenUsagePositions", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.contextCompressionField", - "name": "contextCompressionField", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.contextCompressionCodes", - "name": "contextCompressionCodes", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.rgflowUsageLawful", - "name": "rgflowUsageLawful", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.compressedUsageCost", - "name": "compressedUsageCost", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.minimalUsageCost", - "name": "minimalUsageCost", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.compressionWitness", - "name": "compressionWitness", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.effectiveRecordCost", - "name": "effectiveRecordCost", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.retainRecord", - "name": "retainRecord", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.insertRecord", - "name": "insertRecord", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.contextTokenInvariant", - "name": "contextTokenInvariant", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "def", - "id": "Semantics.ENEContextTokenCache.contextTokenCost", - "name": "contextTokenCost", - "module": "Semantics.ENEContextTokenCache" - }, - { - "kind": "module", - "id": "Semantics.ENECredentialEnvelope", - "name": "ENECredentialEnvelope", - "path": "Semantics/ENECredentialEnvelope.lean", - "namespace": "Semantics.ENECredentialEnvelope", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team ENECredentialEnvelope.lean \u2014 ENE Cloud Credential Envelope Replaces infra/ene_cloud_credential_manager.py encrypt/decrypt spec with a formal Lean module. Defines credential envelope structure, node sel", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 8, - "struct_count": 4, - "inductive_count": 1, - "line_count": 209 - }, - { - "kind": "theorem", - "id": "Semantics.ENECredentialEnvelope.healthyNodeThreshold", - "name": "healthyNodeThreshold", - "module": "Semantics.ENECredentialEnvelope" - }, - { - "kind": "theorem", - "id": "Semantics.ENECredentialEnvelope.initNodeStatsZeroConnections", - "name": "initNodeStatsZeroConnections", - "module": "Semantics.ENECredentialEnvelope" - }, - { - "kind": "theorem", - "id": "Semantics.ENECredentialEnvelope.initCredentialEnvelopeZeroUsage", - "name": "initCredentialEnvelopeZeroUsage", - "module": "Semantics.ENECredentialEnvelope" - }, - { - "kind": "theorem", - "id": "Semantics.ENECredentialEnvelope.assignedNodeInList", - "name": "assignedNodeInList", - "module": "Semantics.ENECredentialEnvelope" - }, - { - "kind": "def", - "id": "Semantics.ENECredentialEnvelope.zero", - "name": "zero", - "module": "Semantics.ENECredentialEnvelope" - }, - { - "kind": "def", - "id": "Semantics.ENECredentialEnvelope.one", - "name": "one", - "module": "Semantics.ENECredentialEnvelope" - }, - { - "kind": "def", - "id": "Semantics.ENECredentialEnvelope.ofFrac", - "name": "ofFrac", - "module": "Semantics.ENECredentialEnvelope" - }, - { - "kind": "def", - "id": "Semantics.ENECredentialEnvelope.initNodeStats", - "name": "initNodeStats", - "module": "Semantics.ENECredentialEnvelope" - }, - { - "kind": "def", - "id": "Semantics.ENECredentialEnvelope.calculateHealthScore", - "name": "calculateHealthScore", - "module": "Semantics.ENECredentialEnvelope" - }, - { - "kind": "def", - "id": "Semantics.ENECredentialEnvelope.selectNode", - "name": "selectNode", - "module": "Semantics.ENECredentialEnvelope" - }, - { - "kind": "def", - "id": "Semantics.ENECredentialEnvelope.initCredentialEnvelope", - "name": "initCredentialEnvelope", - "module": "Semantics.ENECredentialEnvelope" - }, - { - "kind": "def", - "id": "Semantics.ENECredentialEnvelope.isAssignedToNode", - "name": "isAssignedToNode", - "module": "Semantics.ENECredentialEnvelope" - }, - { - "kind": "module", - "id": "Semantics.ENEDistributedNode", - "name": "ENEDistributedNode", - "path": "Semantics/ENEDistributedNode.lean", - "namespace": "Semantics.ENEDistributedNode", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team ENEDistributedNode.lean \u2014 ENE Distributed Node Gossip Protocol & Consensus Replaces infra/ene_distributed_node.py gossip protocol and consensus logic with a formal Lean module. Defines gossip message s", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 9, - "struct_count": 6, - "inductive_count": 1, - "line_count": 221 - }, - { - "kind": "theorem", - "id": "Semantics.ENEDistributedNode.initNodeIdentityFullHealth", - "name": "initNodeIdentityFullHealth", - "module": "Semantics.ENEDistributedNode" - }, - { - "kind": "theorem", - "id": "Semantics.ENEDistributedNode.emptyConsensusHasNoVotes", - "name": "emptyConsensusHasNoVotes", - "module": "Semantics.ENEDistributedNode" - }, - { - "kind": "def", - "id": "Semantics.ENEDistributedNode.zero", - "name": "zero", - "module": "Semantics.ENEDistributedNode" - }, - { - "kind": "def", - "id": "Semantics.ENEDistributedNode.one", - "name": "one", - "module": "Semantics.ENEDistributedNode" - }, - { - "kind": "def", - "id": "Semantics.ENEDistributedNode.ofFrac", - "name": "ofFrac", - "module": "Semantics.ENEDistributedNode" - }, - { - "kind": "def", - "id": "Semantics.ENEDistributedNode.initNodeIdentity", - "name": "initNodeIdentity", - "module": "Semantics.ENEDistributedNode" - }, - { - "kind": "def", - "id": "Semantics.ENEDistributedNode.createGossipMessage", - "name": "createGossipMessage", - "module": "Semantics.ENEDistributedNode" - }, - { - "kind": "def", - "id": "Semantics.ENEDistributedNode.initConsensusState", - "name": "initConsensusState", - "module": "Semantics.ENEDistributedNode" - }, - { - "kind": "def", - "id": "Semantics.ENEDistributedNode.addVote", - "name": "addVote", - "module": "Semantics.ENEDistributedNode" - }, - { - "kind": "def", - "id": "Semantics.ENEDistributedNode.isConsensusReached", - "name": "isConsensusReached", - "module": "Semantics.ENEDistributedNode" - }, - { - "kind": "def", - "id": "Semantics.ENEDistributedNode.calculateMeshHealth", - "name": "calculateMeshHealth", - "module": "Semantics.ENEDistributedNode" - }, - { - "kind": "module", - "id": "Semantics.ENESecurity", - "name": "ENESecurity", - "path": "Semantics/ENESecurity.lean", - "namespace": "", - "doc": "# ENE Security Module This module provides the formal security primitives for ENE (Endless Node Edges) to safely hold sensitive data. All security operations follow the bind primitive pattern and are formally verified. ## Security Axioms 1. **Confidentiality**: Sensitive data is encrypted at rest", - "math_kind": "rrc", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 8, - "struct_count": 3, - "inductive_count": 0, - "line_count": 157 - }, - { - "kind": "theorem", - "id": "Semantics.ENESecurity.access_control_monotonic", - "name": "access_control_monotonic", - "module": "Semantics.ENESecurity" - }, - { - "kind": "def", - "id": "Semantics.ENESecurity.classifyData", - "name": "classifyData", - "module": "Semantics.ENESecurity" - }, - { - "kind": "def", - "id": "Semantics.ENESecurity.deriveKeyFromSemantic", - "name": "deriveKeyFromSemantic", - "module": "Semantics.ENESecurity" - }, - { - "kind": "def", - "id": "Semantics.ENESecurity.checkAccess", - "name": "checkAccess", - "module": "Semantics.ENESecurity" - }, - { - "kind": "def", - "id": "Semantics.ENESecurity.eneSecurityBind", - "name": "eneSecurityBind", - "module": "Semantics.ENESecurity" - }, - { - "kind": "def", - "id": "Semantics.ENESecurity.storeSensitiveData", - "name": "storeSensitiveData", - "module": "Semantics.ENESecurity" - }, - { - "kind": "def", - "id": "Semantics.ENESecurity.retrieveSensitiveData", - "name": "retrieveSensitiveData", - "module": "Semantics.ENESecurity" - }, - { - "kind": "def", - "id": "Semantics.ENESecurity.exampleSecurityState", - "name": "exampleSecurityState", - "module": "Semantics.ENESecurity" - }, - { - "kind": "def", - "id": "Semantics.ENESecurity.exampleSensitiveData", - "name": "exampleSensitiveData", - "module": "Semantics.ENESecurity" - }, - { - "kind": "module", - "id": "Semantics.EffectiveBoundDQ", - "name": "EffectiveBoundDQ", - "path": "Semantics/EffectiveBoundDQ.lean", - "namespace": "Semantics.EffectiveBoundDQ", - "doc": "EffectiveBoundDQ.lean \u2014 Effective Bounds in the 8D DualQuaternion Spectrum Unifies three problems through the common Q\u2081\u00d7Q\u2082 algebra: 1. **Goormaghtigh boundedness** (SpherionTwinPrime): repunit collisions are bounded to [2,90]\u00d7[3,13] \u2014 the `goormaghtigh_boundedness` axiom. 2. **Quadruplon quantiza", - 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"module": "Semantics.EffectiveBoundDQ" - }, - { - "kind": "theorem", - "id": "Semantics.EffectiveBoundDQ.effectiveGoormaghtighBound", - "name": "effectiveGoormaghtighBound", - "module": "Semantics.EffectiveBoundDQ" - }, - { - "kind": "theorem", - "id": "Semantics.EffectiveBoundDQ.computationalRefinement", - "name": "computationalRefinement", - "module": "Semantics.EffectiveBoundDQ" - }, - { - "kind": "theorem", - "id": "Semantics.EffectiveBoundDQ.quadruplon_irreducible", - "name": "quadruplon_irreducible", - "module": "Semantics.EffectiveBoundDQ" - }, - { - "kind": "def", - "id": "Semantics.EffectiveBoundDQ.clusterSector", - "name": "clusterSector", - "module": "Semantics.EffectiveBoundDQ" - }, - { - "kind": "def", - "id": "Semantics.EffectiveBoundDQ.quadruplonEnergy", - "name": "quadruplonEnergy", - "module": "Semantics.EffectiveBoundDQ" - }, - { - "kind": "def", - "id": "Semantics.EffectiveBoundDQ.excitonEnergy", - "name": "excitonEnergy", - "module": "Semantics.EffectiveBoundDQ" - }, - { - "kind": "def", - "id": "Semantics.EffectiveBoundDQ.sidonTetrahedronToDQ", - "name": "sidonTetrahedronToDQ", - "module": "Semantics.EffectiveBoundDQ" - }, - { - "kind": "def", - "id": "Semantics.EffectiveBoundDQ.effectiveBoundReceipt", - "name": "effectiveBoundReceipt", - "module": "Semantics.EffectiveBoundDQ" - }, - { - "kind": "module", - "id": "Semantics.EfficiencyAnalysis", - "name": "EfficiencyAnalysis", - "path": "Semantics/EfficiencyAnalysis.lean", - "namespace": "Semantics.EfficiencyAnalysis", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550", - "math_kind": "quantum", - 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"module": "Semantics.EfficiencyAnalysis" - }, - { - "kind": "module", - "id": "Semantics.ElectromagneticSpectrum", - "name": "ElectromagneticSpectrum", - "path": "Semantics/ElectromagneticSpectrum.lean", - "namespace": "Semantics.ElectromagneticSpectrum", - "doc": "ElectromagneticSpectrum.lean - Minimal stub for RegimeCore dependency", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 11, - "struct_count": 2, - "inductive_count": 2, - "line_count": 66 - }, - { - "kind": "def", - "id": "Semantics.ElectromagneticSpectrum.scale", - "name": "scale", - "module": "Semantics.ElectromagneticSpectrum" - }, - { - "kind": "def", - "id": "Semantics.ElectromagneticSpectrum.zero", - "name": "zero", - "module": "Semantics.ElectromagneticSpectrum" - }, - { - "kind": "def", - "id": "Semantics.ElectromagneticSpectrum.one", - "name": "one", - "module": "Semantics.ElectromagneticSpectrum" - }, - { - "kind": "def", - "id": "Semantics.ElectromagneticSpectrum.half", - "name": "half", - "module": "Semantics.ElectromagneticSpectrum" - }, - { - "kind": "def", - "id": "Semantics.ElectromagneticSpectrum.quarter", - "name": "quarter", - "module": "Semantics.ElectromagneticSpectrum" - }, - { - "kind": "def", - "id": "Semantics.ElectromagneticSpectrum.eighth", - "name": "eighth", - "module": "Semantics.ElectromagneticSpectrum" - }, - { - "kind": "def", - "id": "Semantics.ElectromagneticSpectrum.satFromNat", - "name": "satFromNat", - "module": "Semantics.ElectromagneticSpectrum" - }, - { - "kind": "def", - "id": "Semantics.ElectromagneticSpectrum.fromNat", - "name": "fromNat", - "module": "Semantics.ElectromagneticSpectrum" - }, - { - "kind": "def", - "id": "Semantics.ElectromagneticSpectrum.ge", - "name": "ge", - "module": "Semantics.ElectromagneticSpectrum" - }, - { - "kind": "def", - "id": "Semantics.ElectromagneticSpectrum.le", - "name": "le", - "module": "Semantics.ElectromagneticSpectrum" - }, - { - "kind": "def", - "id": "Semantics.ElectromagneticSpectrum.isIonizingBand", - "name": "isIonizingBand", - "module": "Semantics.ElectromagneticSpectrum" - }, - { - "kind": "module", - "id": "Semantics.ElectronOrbitalConstraint", - "name": "ElectronOrbitalConstraint", - "path": "Semantics/ElectronOrbitalConstraint.lean", - "namespace": "Semantics.ElectronOrbitalConstraint", - "doc": "Empirical: ferritin layers conduct electrons via sequential tunneling up to 80 \u03bcm at room temperature (Shen et al., 2021). Beyond this, tunneling probability drops exponentially with distance.", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 7, - "struct_count": 1, - "inductive_count": 2, - "line_count": 119 - }, - { - "kind": "theorem", - "id": "Semantics.ElectronOrbitalConstraint.electronTunnelingRespectsDistanceLimit", - "name": "electronTunnelingRespectsDistanceLimit", - "module": "Semantics.ElectronOrbitalConstraint" - }, - { - "kind": "theorem", - "id": "Semantics.ElectronOrbitalConstraint.mottTransitionAtThreshold", - "name": "mottTransitionAtThreshold", - "module": "Semantics.ElectronOrbitalConstraint" - }, - { - "kind": "theorem", - "id": "Semantics.ElectronOrbitalConstraint.pauliExclusionRespected", - "name": "pauliExclusionRespected", - "module": "Semantics.ElectronOrbitalConstraint" - }, - { - "kind": "theorem", - "id": "Semantics.ElectronOrbitalConstraint.quantumCoherenceEnablesSwitching", - "name": "quantumCoherenceEnablesSwitching", - "module": "Semantics.ElectronOrbitalConstraint" - }, - { - "kind": "theorem", - "id": "Semantics.ElectronOrbitalConstraint.transportRateSufficientForAssembly", - "name": "transportRateSufficientForAssembly", - "module": "Semantics.ElectronOrbitalConstraint" - }, - { - "kind": "def", - "id": "Semantics.ElectronOrbitalConstraint.electronTunnelingLimit", - "name": "electronTunnelingLimit", - "module": "Semantics.ElectronOrbitalConstraint" - }, - { - "kind": "def", - "id": "Semantics.ElectronOrbitalConstraint.mottTransitionThreshold", - "name": "mottTransitionThreshold", - "module": "Semantics.ElectronOrbitalConstraint" - }, - { - "kind": "def", - "id": "Semantics.ElectronOrbitalConstraint.orbitalOccupancyLimit", - "name": "orbitalOccupancyLimit", - "module": "Semantics.ElectronOrbitalConstraint" - }, - { - "kind": "def", - "id": "Semantics.ElectronOrbitalConstraint.electronTransportRate", - "name": "electronTransportRate", - "module": "Semantics.ElectronOrbitalConstraint" - }, - { - "kind": "def", - "id": "Semantics.ElectronOrbitalConstraint.quantumCoherenceTime", - "name": "quantumCoherenceTime", - "module": "Semantics.ElectronOrbitalConstraint" - }, - { - "kind": "def", - "id": "Semantics.ElectronOrbitalConstraint.safeElectronTransportWindowSeconds", - "name": "safeElectronTransportWindowSeconds", - "module": "Semantics.ElectronOrbitalConstraint" - }, - { - "kind": "def", - "id": "Semantics.ElectronOrbitalConstraint.computeElectronAdaptationVerdict", - "name": "computeElectronAdaptationVerdict", - "module": "Semantics.ElectronOrbitalConstraint" - }, - { - "kind": "module", - "id": "Semantics.EneContextSurface", - "name": "EneContextSurface", - "path": "Semantics/EneContextSurface.lean", - "namespace": "Semantics.EneContextSurface", - "doc": "Lean-owned MCP surface for ENE context memory operations. This file is *surface only* (names + schemas + descriptions). Runtime shims must not invent alternate tools; they should load and expose this manifest. Execution plumbing is provided by non-Lean runtimes (Rust) and must be keyed off these t", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 9, - "struct_count": 0, - "inductive_count": 0, - "line_count": 120 - }, - { - "kind": "def", - "id": "Semantics.EneContextSurface.eneStatus", - "name": "eneStatus", - "module": "Semantics.EneContextSurface" - }, - { - "kind": "def", - "id": "Semantics.EneContextSurface.eneRemember", - "name": "eneRemember", - "module": "Semantics.EneContextSurface" - }, - { - "kind": "def", - "id": "Semantics.EneContextSurface.eneRecall", - "name": "eneRecall", - "module": "Semantics.EneContextSurface" - }, - { - "kind": "def", - "id": "Semantics.EneContextSurface.eneSearch", - "name": "eneSearch", - "module": "Semantics.EneContextSurface" - }, - { - "kind": "def", - "id": "Semantics.EneContextSurface.eneContext", - "name": "eneContext", - "module": "Semantics.EneContextSurface" - }, - { - "kind": "def", - "id": "Semantics.EneContextSurface.eneSessions", - "name": "eneSessions", - "module": "Semantics.EneContextSurface" - }, - { - "kind": "def", - "id": "Semantics.EneContextSurface.eneSync", - "name": "eneSync", - "module": "Semantics.EneContextSurface" - }, - { - "kind": "def", - "id": "Semantics.EneContextSurface.tools", - "name": "tools", - "module": "Semantics.EneContextSurface" - }, - { - "kind": "def", - "id": "Semantics.EneContextSurface.toolsJson", - "name": "toolsJson", - "module": "Semantics.EneContextSurface" - }, - { - "kind": "module", - "id": "Semantics.EnergyGradientSignal", - "name": "EnergyGradientSignal", - "path": "Semantics/EnergyGradientSignal.lean", - "namespace": "Semantics", - "doc": "Energy Gradient Signal Integration This module formalizes energy decrease/increase as gradient signals that integrate into the waveform-waveprobe pipeline. Key structures: EnergyGradient: temporal and spatial energy gradients EnergyWaveform: gradient encoded as waveform EnergySignal: energy gradie", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 9, - "struct_count": 9, - "inductive_count": 1, - "line_count": 235 - }, - { - "kind": "theorem", - "id": "Semantics.EnergyGradientSignal.gradientMagnitudeNonNegative", - "name": "gradientMagnitudeNonNegative", - "module": "Semantics.EnergyGradientSignal" - }, - { - "kind": "theorem", - "id": "Semantics.EnergyGradientSignal.couplingSymmetry", - "name": "couplingSymmetry", - "module": "Semantics.EnergyGradientSignal" - }, - { - "kind": "theorem", - "id": "Semantics.EnergyGradientSignal.energyChangeAdditive", - "name": "energyChangeAdditive", - "module": "Semantics.EnergyGradientSignal" - }, - { - "kind": "def", - "id": "Semantics.EnergyGradientSignal.energyGradientInvariant", - "name": "energyGradientInvariant", - "module": "Semantics.EnergyGradientSignal" - }, - { - "kind": "def", - "id": "Semantics.EnergyGradientSignal.calculateEnergyChange", - "name": "calculateEnergyChange", - "module": "Semantics.EnergyGradientSignal" - }, - { - "kind": "def", - "id": "Semantics.EnergyGradientSignal.computeGradientMagnitude", - "name": "computeGradientMagnitude", - "module": "Semantics.EnergyGradientSignal" - }, - { - "kind": "def", - "id": "Semantics.EnergyGradientSignal.computeGradientDirection", - "name": "computeGradientDirection", - "module": "Semantics.EnergyGradientSignal" - }, - { - "kind": "def", - "id": "Semantics.EnergyGradientSignal.createEnergyWaveform", - "name": "createEnergyWaveform", - "module": "Semantics.EnergyGradientSignal" - }, - { - "kind": "def", - "id": "Semantics.EnergyGradientSignal.calculateShapeEnergyCoupling", - "name": "calculateShapeEnergyCoupling", - "module": "Semantics.EnergyGradientSignal" - }, - { - "kind": "def", - "id": "Semantics.EnergyGradientSignal.energyGradientSignalCost", - "name": "energyGradientSignalCost", - "module": "Semantics.EnergyGradientSignal" - }, - { - "kind": "def", - "id": "Semantics.EnergyGradientSignal.energyGradientSignalBind", - "name": "energyGradientSignalBind", - "module": "Semantics.EnergyGradientSignal" - }, - { - "kind": "def", - "id": "Semantics.EnergyGradientSignal.couplingSymmetryCheck", - "name": "couplingSymmetryCheck", - "module": "Semantics.EnergyGradientSignal" - }, - { - "kind": "module", - "id": "Semantics.EntropyMeasures", - "name": "EntropyMeasures", - "path": "Semantics/EntropyMeasures.lean", - "namespace": "Semantics.EntropyMeasures", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team EntropyMeasures.lean \u2014 Adaptive Entropy Measures for Thermodynamic Computing This module formalizes three entropy measures (Shannon H\u2081, Collision H\u2082, Min-entropy H_\u221e) with adaptive switching based on v", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 456, - "struct_count": 90, - "inductive_count": 9, - "line_count": 6276 - }, - { - "kind": "theorem", - "id": "Semantics.EntropyMeasures.defaultThresholdsValid", - "name": "defaultThresholdsValid", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "theorem", - "id": "Semantics.EntropyMeasures.adaptiveEntropySelectsShannon", - "name": "adaptiveEntropySelectsShannon", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "theorem", - "id": "Semantics.EntropyMeasures.adaptiveEntropySelectsCollision", - "name": "adaptiveEntropySelectsCollision", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "theorem", - "id": "Semantics.EntropyMeasures.adaptiveEntropySelectsMin", - "name": "adaptiveEntropySelectsMin", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.prob", - "name": "prob", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.variance", - "name": "variance", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.shannonEntropy", - "name": "shannonEntropy", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.collisionEntropy", - "name": "collisionEntropy", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.minEntropy", - "name": "minEntropy", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.kullbackLeiblerDivergence", - "name": "kullbackLeiblerDivergence", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.jensenShannonDivergence", - "name": "jensenShannonDivergence", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.mutualInformation", - "name": "mutualInformation", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.informationBottleneck", - "name": "informationBottleneck", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.reynolds", - "name": "reynolds", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.default", - "name": "default", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.classifyRegime", - "name": "classifyRegime", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.turbulenceEntropy", - "name": "turbulenceEntropy", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.laminarBottleneck", - "name": "laminarBottleneck", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.turbulentFlow", - "name": "turbulentFlow", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.velocity", - "name": "velocity", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.flowRate", - "name": "flowRate", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.grashof", - "name": "grashof", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "def", - "id": "Semantics.EntropyMeasures.classifyConvection", - "name": "classifyConvection", - "module": "Semantics.EntropyMeasures" - }, - { - "kind": "module", - "id": "Semantics.EntropyPhaseEngine", - "name": "EntropyPhaseEngine", - "path": "Semantics/EntropyPhaseEngine.lean", - "namespace": "Semantics", - "doc": "# Entropy Phase Engine Formal implementation of changepoint detection and model selection with complexity ordering. All dimensionless scalars (losses, scores, penalties) use Q0_16 (normalized [-1, 1]). Signal data uses Q16_16 for wider dynamic range. Key principle: Score = Loss + \u03bb * Complexity Hi", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 10, - "def_count": 51, - "struct_count": 17, - "inductive_count": 1, - "line_count": 1191 - }, - { - "kind": "theorem", - "id": "Semantics.EntropyPhaseEngine.complexity_penalty_monotone", - "name": "complexity_penalty_monotone", - "module": "Semantics.EntropyPhaseEngine" - }, - { - "kind": "theorem", - "id": "Semantics.EntropyPhaseEngine.modelType_exhaustive", - "name": "modelType_exhaustive", - "module": "Semantics.EntropyPhaseEngine" - }, - { - "kind": "theorem", - "id": "Semantics.EntropyPhaseEngine.complexity_ordering_monotone", - "name": "complexity_ordering_monotone", - "module": "Semantics.EntropyPhaseEngine" - }, - { - "kind": "theorem", - "id": "Semantics.EntropyPhaseEngine.allCandidates_length", - "name": "allCandidates_length", - "module": "Semantics.EntropyPhaseEngine" - }, - { - "kind": "theorem", - "id": "Semantics.EntropyPhaseEngine.noiseCandidate_complexity_zero", - 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Strand 5 (Sidon) becomes CONCRETE: collision graph, collision energy, Mott phase transition, al", - "math_kind": "number_theory", - "sorry_count": 7, - "theorem_count": 21, - "def_count": 12, - "struct_count": 4, - "inductive_count": 0, - "line_count": 807 - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.sidon_iff_no_collision", - "name": "sidon_iff_no_collision", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.collisionEnergy_nonneg", - "name": "collisionEnergy_nonneg", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.collisionEnergy_zero_iff", - "name": "collisionEnergy_zero_iff", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.erdos_renyi_bridge", - "name": "erdos_renyi_bridge", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.mott_threshold", - 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"name": "unified_phase_transition", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.structure_bonus", - "name": "structure_bonus", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.crt_sieve_iff_not_prime_pow", - "name": "crt_sieve_iff_not_prime_pow", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.prime_barrier_k10", - "name": "prime_barrier_k10", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.pipeline_with_erdos_renyi", - "name": "pipeline_with_erdos_renyi", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.rcp_pipeline_ordering", - "name": "rcp_pipeline_ordering", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.pipeline_kissing_ratio", - "name": "pipeline_kissing_ratio", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.sidon_regime_below_\u03c6_LT", - "name": "sidon_regime_below_\u03c6_LT", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.mott_regime_bounded_by_\u03c6_RCP", - "name": "mott_regime_bounded_by_\u03c6_RCP", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.lattice_ordering_gap", - "name": "lattice_ordering_gap", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "theorem", - "id": "Semantics.ErdosRenyiPipeline.rcp_phases_partition", - "name": "rcp_phases_partition", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "def", - "id": "Semantics.ErdosRenyiPipeline.IsGap", - "name": "IsGap", - "module": "Semantics.ErdosRenyiPipeline" - }, - { - "kind": "def", - "id": "Semantics.ErdosRenyiPipeline.IsLosslessMap", - 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}, - { - "kind": "def", - "id": "Semantics.Errors.directAttentionError", - "name": "directAttentionError", - "module": "Semantics.Errors" - }, - { - "kind": "def", - "id": "Semantics.Errors.aliasError", - "name": "aliasError", - "module": "Semantics.Errors" - }, - { - "kind": "module", - "id": "Semantics.EtaMoE", - "name": "EtaMoE", - "path": "Semantics/EtaMoE.lean", - "namespace": "EtaMoE", - "doc": "EtaMoE.lean \u2014 Mixture-of-Experts Cognitive Efficiency This module formalizes the \u03b7MoE equation connecting microscopic cognitive control to macroscopic universal efficiency. Equation ID: 0.1 Cross-refs: 0, 1.1, 1.2, 6, 29 The \u03b7MoE equation: \u03b7MoE(x) = [\u03a3 g\u2096(w\u2096h\u2096/lnN\u2096 - v\u2096p\u2096/lnN\u2096)] / [\u03a3 g\u2096(a\u2096lnN\u2096 + ", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 13, - "struct_count": 1, - "inductive_count": 0, - "line_count": 161 - }, - { - "kind": "theorem", - "id": "Semantics.EtaMoE.etaBounded", - "name": "etaBounded", - "module": "Semantics.EtaMoE" - }, - { - "kind": "theorem", - "id": "Semantics.EtaMoE.noInfiniteEfficiency", - "name": "noInfiniteEfficiency", - "module": "Semantics.EtaMoE" - }, - { - "kind": "theorem", - "id": "Semantics.EtaMoE.gatingBounded", - "name": "gatingBounded", - "module": "Semantics.EtaMoE" - }, - { - "kind": "def", - "id": "Semantics.EtaMoE.arityValid", - "name": "arityValid", - "module": "Semantics.EtaMoE" - }, - { - "kind": "def", - "id": "Semantics.EtaMoE.overheadValid", - "name": "overheadValid", - "module": "Semantics.EtaMoE" - }, - { - "kind": "def", - "id": "Semantics.EtaMoE.gatingValid", - "name": "gatingValid", - "module": "Semantics.EtaMoE" - }, - { - "kind": "def", - "id": "Semantics.EtaMoE.expertValid", - "name": "expertValid", - "module": "Semantics.EtaMoE" - }, - { - "kind": "def", - "id": "Semantics.EtaMoE.numeratorTerm", - "name": "numeratorTerm", - "module": "Semantics.EtaMoE" - }, - { - "kind": "def", - "id": "Semantics.EtaMoE.denominatorTerm", - "name": "denominatorTerm", - "module": "Semantics.EtaMoE" - }, - { - "kind": "def", - "id": "Semantics.EtaMoE.platformCost", - "name": "platformCost", - "module": "Semantics.EtaMoE" - }, - { - "kind": "def", - "id": "Semantics.EtaMoE.landauerCost", - "name": "landauerCost", - "module": "Semantics.EtaMoE" - }, - { - "kind": "def", - "id": "Semantics.EtaMoE.etaMoE", - "name": "etaMoE", - "module": "Semantics.EtaMoE" - }, - { - "kind": "def", - "id": "Semantics.EtaMoE.twoExpertEta", - "name": "twoExpertEta", - "module": "Semantics.EtaMoE" - }, - { - "kind": "def", - "id": "Semantics.EtaMoE.gatingSigmoid", - "name": "gatingSigmoid", - "module": "Semantics.EtaMoE" - }, - { - "kind": "def", - "id": "Semantics.EtaMoE.exampleCognitiveControl", - "name": "exampleCognitiveControl", - "module": "Semantics.EtaMoE" - }, - { - "kind": "def", - "id": "Semantics.EtaMoE.exampleSwarmRewiredExpert", - "name": "exampleSwarmRewiredExpert", - "module": "Semantics.EtaMoE" - }, - { - "kind": "module", - "id": "Semantics.EthereumRGFlow", - "name": "EthereumRGFlow", - "path": "Semantics/EthereumRGFlow.lean", - "namespace": "Semantics", - "doc": "RGFlow analysis for Ethereum price data with proper sigma computation from local price dynamics and RGFlow invariant lawfulness checking. 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}, - { - "kind": "def", - "id": "Semantics.ExoticSpacetime.classifySignature", - "name": "classifySignature", - "module": "Semantics.ExoticSpacetime" - }, - { - "kind": "def", - "id": "Semantics.ExoticSpacetime.temporalRatio", - "name": "temporalRatio", - "module": "Semantics.ExoticSpacetime" - }, - { - "kind": "def", - "id": "Semantics.ExoticSpacetime.temporalGradient", - "name": "temporalGradient", - "module": "Semantics.ExoticSpacetime" - }, - { - "kind": "def", - "id": "Semantics.ExoticSpacetime.classifyTemporalRegime", - "name": "classifyTemporalRegime", - "module": "Semantics.ExoticSpacetime" - }, - { - "kind": "def", - "id": "Semantics.ExoticSpacetime.permitsTimelikeTraversal", - "name": "permitsTimelikeTraversal", - "module": "Semantics.ExoticSpacetime" - }, - { - "kind": "def", - "id": "Semantics.ExoticSpacetime.differentialCompatible", - "name": "differentialCompatible", - "module": "Semantics.ExoticSpacetime" - }, - { - "kind": "def", - "id": "Semantics.ExoticSpacetime.causalStatusFor", - 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}, - { - "kind": "def", - "id": "Semantics.ExoticSpacetime.wormholeRegionProfile", - "name": "wormholeRegionProfile", - "module": "Semantics.ExoticSpacetime" - }, - { - "kind": "def", - "id": "Semantics.ExoticSpacetime.defaultWormholeConnector", - "name": "defaultWormholeConnector", - "module": "Semantics.ExoticSpacetime" - }, - { - "kind": "module", - "id": "Semantics.ExperienceCompression", - "name": "ExperienceCompression", - "path": "Semantics/ExperienceCompression.lean", - "namespace": "Semantics.ExperienceCompression", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team ExperienceCompression.lean \u2014 Experience Compression Spectrum for LLM Agents This module formalizes the Experience Compression Spectrum from \"Experience Compression Spectrum: Unifying Memory, Skills, an", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 6, - "def_count": 22, - "struct_count": 10, - "inductive_count": 5, - "line_count": 382 - }, - { - "kind": "theorem", - "id": "Semantics.ExperienceCompression.l3HigherThanL0", - "name": "l3HigherThanL0", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "theorem", - "id": "Semantics.ExperienceCompression.reusabilityIncreasesWithCompression", - "name": "reusabilityIncreasesWithCompression", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "theorem", - "id": "Semantics.ExperienceCompression.costTradeOff", - "name": "costTradeOff", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "theorem", - "id": "Semantics.ExperienceCompression.noSystemHasAdaptive", - "name": "noSystemHasAdaptive", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "theorem", - "id": "Semantics.ExperienceCompression.compressionSoundness", - "name": "compressionSoundness", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "theorem", - "id": "Semantics.ExperienceCompression.l2MoreEfficientThanL1", - "name": "l2MoreEfficientThanL1", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.zero", - "name": "zero", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.one", - "name": "one", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.ofNat", - "name": "ofNat", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.add", - "name": "add", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.sub", - "name": "sub", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.mul", - "name": "mul", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.div", - "name": "div", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.le", - "name": "le", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.toNat", - "name": "toNat", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.higher", - "name": "higher", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.forLevel", - "name": "forLevel", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.compressionBounds", - "name": "compressionBounds", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.validCompressionRatio", - "name": "validCompressionRatio", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.acquisitionFor", - "name": "acquisitionFor", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.maintenanceFor", - "name": "maintenanceFor", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.fixedLevelSystems", - "name": "fixedLevelSystems", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.missingDiagonal", - "name": "missingDiagonal", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "def", - "id": "Semantics.ExperienceCompression.adaptiveCompression", - "name": "adaptiveCompression", - "module": "Semantics.ExperienceCompression" - }, - { - "kind": "module", - "id": "Semantics.ExperimentTracker", - "name": "ExperimentTracker", - "path": "Semantics/ExperimentTracker.lean", - "namespace": "Semantics.ExperimentTracker", - "doc": "ExperimentTracker.lean \u2014 Automatic Prediction Checking & Grade Assignment This module provides the machinery to: 1. Check each pre-registered prediction against observed experimental data 2. Count confirmed vs falsified predictions 3. Assign an overall framework grade 4. Generate a machine-readable", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 11, - "def_count": 11, - "struct_count": 1, - "inductive_count": 1, - "line_count": 219 - }, - { - "kind": "theorem", - "id": "Semantics.ExperimentTracker.for", - "name": "for", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "theorem", - "id": "Semantics.ExperimentTracker.gradeA_plus_correct", - "name": "gradeA_plus_correct", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "theorem", - "id": "Semantics.ExperimentTracker.gradeF_correct", - "name": "gradeF_correct", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "theorem", - "id": "Semantics.ExperimentTracker.gradeBoundary_0", - "name": "gradeBoundary_0", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "theorem", - "id": "Semantics.ExperimentTracker.gradeBoundary_1", - "name": "gradeBoundary_1", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "theorem", - "id": "Semantics.ExperimentTracker.gradeBoundary_2", - "name": "gradeBoundary_2", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "theorem", - "id": "Semantics.ExperimentTracker.gradeBoundary_3", - "name": "gradeBoundary_3", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "theorem", - "id": "Semantics.ExperimentTracker.gradeBoundary_4", - "name": "gradeBoundary_4", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "theorem", - "id": "Semantics.ExperimentTracker.gradeBoundary_5", - "name": "gradeBoundary_5", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "theorem", - "id": "Semantics.ExperimentTracker.gradeBoundary_6", - "name": "gradeBoundary_6", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "theorem", - "id": "Semantics.ExperimentTracker.gradeBoundary_7", - "name": "gradeBoundary_7", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "def", - "id": "Semantics.ExperimentTracker.PredictionOutcome", - "name": "PredictionOutcome", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "def", - "id": "Semantics.ExperimentTracker.checkPrediction", - "name": "checkPrediction", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "def", - "id": "Semantics.ExperimentTracker.countOutcome", - "name": "countOutcome", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "def", - "id": "Semantics.ExperimentTracker.assignGrade", - "name": "assignGrade", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "def", - "id": "Semantics.ExperimentTracker.generateReceipt", - "name": "generateReceipt", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "def", - "id": "Semantics.ExperimentTracker.initialOutcomes", - "name": "initialOutcomes", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "def", - "id": "Semantics.ExperimentTracker.scenarioA_minus", - "name": "scenarioA_minus", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "def", - "id": "Semantics.ExperimentTracker.scenarioA_plus", - "name": "scenarioA_plus", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "def", - "id": "Semantics.ExperimentTracker.initialReceipt", - "name": "initialReceipt", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "def", - "id": "Semantics.ExperimentTracker.receiptA_minus", - "name": "receiptA_minus", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "def", - "id": "Semantics.ExperimentTracker.receiptA_plus", - "name": "receiptA_plus", - "module": "Semantics.ExperimentTracker" - }, - { - "kind": "module", - "id": "Semantics.ExtendedManifoldEncoding", - "name": "ExtendedManifoldEncoding", - "path": "Semantics/ExtendedManifoldEncoding.lean", - "namespace": "Semantics.ExtendedManifoldEncoding", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. ExtendedManifoldEncoding.lean \u2014 Alpha Branch Formalization Formalizes experimental encoding methods that map data to composite geometric structures and perform basis selection via set operations. Methods formalized: 1. Tree addre", - "math_kind": "rrc", - "sorry_count": 0, - "theorem_count": 23, - "def_count": 42, - "struct_count": 5, - "inductive_count": 0, - "line_count": 929 - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.pist_reconstruction", - "name": "pist_reconstruction", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.tree_address_length", - "name": "tree_address_length", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.tree_address_deterministic", - "name": "tree_address_deterministic", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.coordinate_helicity_preserved", - "name": "coordinate_helicity_preserved", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.surface_y_inverse", - "name": "surface_y_inverse", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.surface_y_decreasing", - "name": "surface_y_decreasing", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.torus_angles_bounded", - "name": "torus_angles_bounded", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.phi_orbit_distinct_for_bounded", - "name": "phi_orbit_distinct_for_bounded", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.composite_address_deterministic", - "name": "composite_address_deterministic", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.address_reconstructs_linear", - "name": "address_reconstructs_linear", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.intersection_subset", - "name": "intersection_subset", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.intersection_partition", - "name": "intersection_partition", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.exchange_pool_bounded", - "name": "exchange_pool_bounded", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.collapse_preserves_pist", - "name": "collapse_preserves_pist", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.substrate_bounded", - "name": "substrate_bounded", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.adaptive_basis_dim_monotone", - "name": "adaptive_basis_dim_monotone", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.adaptive_confidence_decreasing", - "name": "adaptive_confidence_decreasing", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.composite_encoding_deterministic", - "name": "composite_encoding_deterministic", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.composite_reversibility", - "name": "composite_reversibility", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.gear_ratio_minimum", - "name": "gear_ratio_minimum", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.gearRatio_eqn", - "name": "gearRatio_eqn", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.gear_ratio_monotone_repeat", - "name": "gear_ratio_monotone_repeat", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.ExtendedManifoldEncoding.defensive_when_score_positive", - "name": "defensive_when_score_positive", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.pistK", - "name": "pistK", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.pistT", - "name": "pistT", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.pistMass", - "name": "pistMass", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.pistMirror", - "name": "pistMirror", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.TreeAddress", - "name": "TreeAddress", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.treeAddress", - "name": "treeAddress", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.treeDepthDistribution", - "name": "treeDepthDistribution", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.coordinateHelicity", - "name": "coordinateHelicity", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.PHI", - "name": "PHI", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.surfaceCoord", - "name": "surfaceCoord", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.torusAngles", - "name": "torusAngles", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.TREE_DEPTH", - "name": "TREE_DEPTH", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.compositeAddress", - "name": "compositeAddress", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.BridgeOp", - "name": "BridgeOp", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.hadamardBridge", - "name": "hadamardBridge", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.xorBridge", - "name": "xorBridge", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.meanBridge", - "name": "meanBridge", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.extractIntersection", - "name": "extractIntersection", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.fuseBridge", - "name": "fuseBridge", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "def", - "id": "Semantics.ExtendedManifoldEncoding.buildFusedBasis", - "name": "buildFusedBasis", - "module": "Semantics.ExtendedManifoldEncoding" - }, - { - "kind": "module", - "id": "Semantics.Extensions.AdvancedBioDynamics", - "name": "AdvancedBioDynamics", - "path": "Semantics/Extensions/AdvancedBioDynamics.lean", - "namespace": "Semantics.Biology.Advanced", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team AdvancedBioDynamics.lean \u2014 Foundation-scale biophysical laws and information physics. This module formalizes high-level biophysical identities that have proven resilient to challenge, mapping them to t", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 1, - "inductive_count": 0, - "line_count": 74 - }, - { - "kind": "def", - "id": "Semantics.Extensions.AdvancedBioDynamics.freeEnergySurprisal", - "name": "freeEnergySurprisal", - "module": "Semantics.Extensions.AdvancedBioDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AdvancedBioDynamics.fisherDeltaFitness", - "name": "fisherDeltaFitness", - "module": "Semantics.Extensions.AdvancedBioDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AdvancedBioDynamics.neutralEvolutionRate", - "name": "neutralEvolutionRate", - "module": "Semantics.Extensions.AdvancedBioDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AdvancedBioDynamics.wilsonCowanUpdate", - "name": "wilsonCowanUpdate", - "module": "Semantics.Extensions.AdvancedBioDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AdvancedBioDynamics.remodelingError", - "name": "remodelingError", - "module": "Semantics.Extensions.AdvancedBioDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.AnimalSignalingLaws", - "name": "AnimalSignalingLaws", - "path": "Semantics/Extensions/AnimalSignalingLaws.lean", - "namespace": "Semantics.Biology.Signaling", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team AnimalSignalingLaws.lean \u2014 Laws of honest communication and the handicap principle. This module formalizes the laws of biological signaling: 1. Handicap: Zahavi's principle of costly signaling. 2. Hone", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 49 - }, - { - "kind": "def", - "id": "Semantics.Extensions.AnimalSignalingLaws.signalFitness", - "name": "signalFitness", - "module": "Semantics.Extensions.AnimalSignalingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AnimalSignalingLaws.isHonestyStable", - "name": "isHonestyStable", - "module": "Semantics.Extensions.AnimalSignalingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AnimalSignalingLaws.checkHonestEquilibrium", - "name": "checkHonestEquilibrium", - "module": "Semantics.Extensions.AnimalSignalingLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.AnimalSocialAerodynamics", - "name": "AnimalSocialAerodynamics", - "path": "Semantics/Extensions/AnimalSocialAerodynamics.lean", - "namespace": "Semantics.Biology.Social", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team AnimalSocialAerodynamics.lean \u2014 Laws of animal distribution and formation flight. This module formalizes the laws of group behavior and energy efficiency: 1. Distribution: The Ideal Free Distribution (", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 64 - }, - { - "kind": "def", - "id": "Semantics.Extensions.AnimalSocialAerodynamics.isInputMatched", - "name": "isInputMatched", - "module": "Semantics.Extensions.AnimalSocialAerodynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AnimalSocialAerodynamics.isFitnessEquilibrated", - "name": "isFitnessEquilibrated", - "module": "Semantics.Extensions.AnimalSocialAerodynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AnimalSocialAerodynamics.upwashVelocity", - "name": "upwashVelocity", - "module": "Semantics.Extensions.AnimalSocialAerodynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AnimalSocialAerodynamics.formationDragReduction", - "name": "formationDragReduction", - "module": "Semantics.Extensions.AnimalSocialAerodynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AnimalSocialAerodynamics.formationRangeBoost", - "name": "formationRangeBoost", - "module": "Semantics.Extensions.AnimalSocialAerodynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.AuditoryMaskingDynamics", - "name": "AuditoryMaskingDynamics", - "path": "Semantics/Extensions/AuditoryMaskingDynamics.lean", - "namespace": "Semantics.Biology.Auditory.Masking", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team AuditoryMaskingDynamics.lean \u2014 Laws of masking, spreading functions, and specific loudness. This module formalizes the laws of psychoacoustic masking and signal saliency: 1. Spreading: Zwicker's spread", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 62 - }, - { - "kind": "def", - "id": "Semantics.Extensions.AuditoryMaskingDynamics.upperMaskingSlope", - "name": "upperMaskingSlope", - "module": "Semantics.Extensions.AuditoryMaskingDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AuditoryMaskingDynamics.signalToMaskRatio", - "name": "signalToMaskRatio", - "module": "Semantics.Extensions.AuditoryMaskingDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AuditoryMaskingDynamics.isSignalSalient", - "name": "isSignalSalient", - "module": "Semantics.Extensions.AuditoryMaskingDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AuditoryMaskingDynamics.specificLoudness", - "name": "specificLoudness", - "module": "Semantics.Extensions.AuditoryMaskingDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AuditoryMaskingDynamics.totalLoudness", - "name": "totalLoudness", - "module": "Semantics.Extensions.AuditoryMaskingDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.AuditoryMechanicsLaws", - "name": "AuditoryMechanicsLaws", - "path": "Semantics/Extensions/AuditoryMechanicsLaws.lean", - "namespace": "Semantics.Biology.Auditory", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team AuditoryMechanicsLaws.lean \u2014 Laws of cochlear resonance, traveling waves, and tonotropy. This module formalizes the physical laws of hearing: 1. Resonance: Helmholtz's place theory (harmonic oscillator", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 62 - }, - { - "kind": "def", - "id": "Semantics.Extensions.AuditoryMechanicsLaws.localResonanceForce", - "name": "localResonanceForce", - "module": "Semantics.Extensions.AuditoryMechanicsLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AuditoryMechanicsLaws.travelingWavePhase", - "name": "travelingWavePhase", - "module": "Semantics.Extensions.AuditoryMechanicsLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AuditoryMechanicsLaws.characteristicFrequency", - "name": "characteristicFrequency", - "module": "Semantics.Extensions.AuditoryMechanicsLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AuditoryMechanicsLaws.activeAmplifierDrift", - "name": "activeAmplifierDrift", - "module": "Semantics.Extensions.AuditoryMechanicsLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.AuditoryPerceptionLaws", - "name": "AuditoryPerceptionLaws", - "path": "Semantics/Extensions/AuditoryPerceptionLaws.lean", - "namespace": "Semantics.Biology.Psychoacoustics", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team AuditoryPerceptionLaws.lean \u2014 Laws of critical bands, equal loudness, and psychoacoustics. This module formalizes the laws of biological auditory perception: 1. Filter: The Bark scale for critical band", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 58 - }, - { - "kind": "def", - "id": "Semantics.Extensions.AuditoryPerceptionLaws.frequencyToBark", - "name": "frequencyToBark", - "module": "Semantics.Extensions.AuditoryPerceptionLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AuditoryPerceptionLaws.criticalBandwidth", - "name": "criticalBandwidth", - "module": "Semantics.Extensions.AuditoryPerceptionLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.AuditoryPerceptionLaws.equalLoudnessSPL", - "name": "equalLoudnessSPL", - "module": "Semantics.Extensions.AuditoryPerceptionLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BettiSwoosh", - "name": "BettiSwoosh", - "path": "Semantics/Extensions/BettiSwoosh.lean", - "namespace": "BettiSwoosh", - "doc": "BettiSwoosh.lean \u2014 The Betti Swoosh Law: Spectral Flow on Directed Simplicial Complexes ======================================================================================== The Betti Swoosh Law (H_M): H_M(t) = -\u0394_M + V_M(x,t) Where: \u2022 \u0394_M: Hodge Laplacian of the directed simplicial complex M \u2022", - 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}, - { - "kind": "theorem", - "id": "Semantics.Extensions.BettiSwoosh.hodge_self_adjoint", - "name": "hodge_self_adjoint", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.BettiSwoosh.hodge_positive_semidefinite", - "name": "hodge_positive_semidefinite", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.BettiSwoosh.hodge_eigenvalues_nonnegative", - "name": "hodge_eigenvalues_nonnegative", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.BettiSwoosh.betti_zero_iff_no_harmonic", - "name": "betti_zero_iff_no_harmonic", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.BettiSwoosh.swooshMergeIdempotent", - "name": "swooshMergeIdempotent", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.BettiSwoosh.swooshMergeCommutative", - "name": "swooshMergeCommutative", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.BettiSwoosh.swooshMergeAssociative", - "name": "swooshMergeAssociative", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.DirectedSimplex", - "name": "DirectedSimplex", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.kSkeleton", - "name": "kSkeleton", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.kChains", - "name": "kChains", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.boundaryOperator", - "name": "boundaryOperator", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.coboundaryOperator", - "name": "coboundaryOperator", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.hodgeLaplacian", - "name": "hodgeLaplacian", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.bettiNumber", - "name": "bettiNumber", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.H_M", - "name": "H_M", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.spectralFlow", - "name": "spectralFlow", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.antiCollisionIdentity", - "name": "antiCollisionIdentity", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.bettiTrajectory", - "name": "bettiTrajectory", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.detectSwooshes", - "name": "detectSwooshes", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.marketComplexFromCoarseSignal", - "name": "marketComplexFromCoarseSignal", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.sigmaFromBettiVariation", - "name": "sigmaFromBettiVariation", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.hodgeLaplacianMatrix", - "name": "hodgeLaplacianMatrix", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BettiSwoosh.computeBettiFromMatrix", - "name": "computeBettiFromMatrix", - "module": "Semantics.Extensions.BettiSwoosh" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BioComplexSystems", - "name": "BioComplexSystems", - "path": "Semantics/Extensions/BioComplexSystems.lean", - "namespace": "Semantics.Biology.ComplexSystems", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BioComplexSystems.lean \u2014 Information theory and complexity in biological manifolds. This module formalizes the high-level informational and structural laws that govern biological complexity, from the e", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 67 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioComplexSystems.priceDeltaTrait", - "name": "priceDeltaTrait", - "module": "Semantics.Extensions.BioComplexSystems" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioComplexSystems.quasispeciesDrift", - "name": "quasispeciesDrift", - "module": "Semantics.Extensions.BioComplexSystems" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioComplexSystems.mayStabilityMeasure", - "name": "mayStabilityMeasure", - "module": "Semantics.Extensions.BioComplexSystems" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioComplexSystems.entropyProductionRate", - "name": "entropyProductionRate", - "module": "Semantics.Extensions.BioComplexSystems" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioComplexSystems.wrightFisherDrift", - "name": "wrightFisherDrift", - "module": "Semantics.Extensions.BioComplexSystems" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BioDeepDive", - "name": "BioDeepDive", - "path": "Semantics/Extensions/BioDeepDive.lean", - "namespace": "Semantics.Biology", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BioDeepDive.lean \u2014 Multi-scale biological modeling from RNA to Human Dynamics. This module formalizes the multi-layer biological stack as a nested manifold system, from sub-cellular information process", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 7, - "struct_count": 1, - "inductive_count": 0, - "line_count": 86 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioDeepDive.rnaFoldingEnergy", - "name": "rnaFoldingEnergy", - "module": "Semantics.Extensions.BioDeepDive" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioDeepDive.dogmaUpdate", - "name": "dogmaUpdate", - "module": "Semantics.Extensions.BioDeepDive" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioDeepDive.hillActivation", - "name": "hillActivation", - "module": "Semantics.Extensions.BioDeepDive" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioDeepDive.waddingtonPotential", - "name": "waddingtonPotential", - "module": "Semantics.Extensions.BioDeepDive" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioDeepDive.reactionDiffusion", - "name": "reactionDiffusion", - "module": "Semantics.Extensions.BioDeepDive" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioDeepDive.replicatorStep", - "name": "replicatorStep", - "module": "Semantics.Extensions.BioDeepDive" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioDeepDive.socialRepulsion", - "name": "socialRepulsion", - "module": "Semantics.Extensions.BioDeepDive" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BioElectricalImpedanceLaws", - "name": "BioElectricalImpedanceLaws", - "path": "Semantics/Extensions/BioElectricalImpedanceLaws.lean", - "namespace": "Semantics.Biology.BioElectric", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BioElectricalImpedanceLaws.lean \u2014 Laws of cellular potential and tissue dielectric relaxation. This module formalizes the electrical laws of biological matter: 1. Cellular: The Schwan equation for indu", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 1, - "line_count": 56 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioElectricalImpedanceLaws.inducedMembranePotential", - "name": "inducedMembranePotential", - "module": "Semantics.Extensions.BioElectricalImpedanceLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioElectricalImpedanceLaws.coleColePermittivity", - "name": "coleColePermittivity", - "module": "Semantics.Extensions.BioElectricalImpedanceLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioElectricalImpedanceLaws.identifyDispersion", - "name": "identifyDispersion", - "module": "Semantics.Extensions.BioElectricalImpedanceLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BioElectroThermodynamics", - "name": "BioElectroThermodynamics", - "path": "Semantics/Extensions/BioElectroThermodynamics.lean", - "namespace": "Semantics.Biology.BioElectro", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BioElectroThermodynamics.lean \u2014 Laws of membrane potential and cellular energy flux. This module formalizes the electro-chemical and thermodynamic laws of cellular life: 1. Electrochemistry: Nernst rev", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 65 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioElectroThermodynamics.nernstPotential", - "name": "nernstPotential", - "module": "Semantics.Extensions.BioElectroThermodynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioElectroThermodynamics.ghkRestingPotential", - "name": "ghkRestingPotential", - "module": "Semantics.Extensions.BioElectroThermodynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioElectroThermodynamics.donnanProduct", - "name": "donnanProduct", - "module": "Semantics.Extensions.BioElectroThermodynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioElectroThermodynamics.gibbsDuhemSum", - "name": "gibbsDuhemSum", - "module": "Semantics.Extensions.BioElectroThermodynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioElectroThermodynamics.entropyFluxBalance", - "name": "entropyFluxBalance", - "module": "Semantics.Extensions.BioElectroThermodynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BioPhotonicsDynamics", - "name": "BioPhotonicsDynamics", - "path": "Semantics/Extensions/BioPhotonicsDynamics.lean", - "namespace": "Semantics.Biology.Photonics", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BioPhotonicsDynamics.lean \u2014 Laws of radiative transfer and bioluminescence kinetics. This module formalizes the laws of light transport and emission in biological systems: 1. Transport: The Diffusion A", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 54 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioPhotonicsDynamics.fluenceRateUpdate", - "name": "fluenceRateUpdate", - "module": "Semantics.Extensions.BioPhotonicsDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioPhotonicsDynamics.photonEmissionRate", - "name": "photonEmissionRate", - "module": "Semantics.Extensions.BioPhotonicsDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioPhotonicsDynamics.lightIntensityAtDepth", - "name": "lightIntensityAtDepth", - "module": "Semantics.Extensions.BioPhotonicsDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BioThermoTopology", - "name": "BioThermoTopology", - "path": "Semantics/Extensions/BioThermoTopology.lean", - "namespace": "Semantics.Biology.ThermoTopology", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BioThermoTopology.lean \u2014 Non-equilibrium thermodynamics and developmental topology. This module formalizes the dissipative and constructive laws of biological matter, connecting energy flux to pattern ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 1, - "inductive_count": 0, - "line_count": 69 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioThermoTopology.coupledFlux", - "name": "coupledFlux", - "module": "Semantics.Extensions.BioThermoTopology" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioThermoTopology.jarzynskiFreeEnergy", - "name": "jarzynskiFreeEnergy", - "module": "Semantics.Extensions.BioThermoTopology" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioThermoTopology.fbaSteadyState", - "name": "fbaSteadyState", - "module": "Semantics.Extensions.BioThermoTopology" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BioThermoTopology.giererMeinhardtUpdate", - "name": "giererMeinhardtUpdate", - "module": "Semantics.Extensions.BioThermoTopology" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BiologicalComputingLaws", - "name": "BiologicalComputingLaws", - "path": "Semantics/Extensions/BiologicalComputingLaws.lean", - "namespace": "Semantics.Biology.Computing", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BiologicalComputingLaws.lean \u2014 Laws of biological computation and recursive assembly. This module formalizes the laws of information processing at the molecular level: 1. Combinators: SKI calculus impl", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 57 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalComputingLaws.kCombinator", - "name": "kCombinator", - "module": "Semantics.Extensions.BiologicalComputingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalComputingLaws.sCombinator", - "name": "sCombinator", - "module": "Semantics.Extensions.BiologicalComputingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalComputingLaws.assemblyIdempotent", - "name": "assemblyIdempotent", - "module": "Semantics.Extensions.BiologicalComputingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalComputingLaws.cellResourceVoltage", - "name": "cellResourceVoltage", - "module": "Semantics.Extensions.BiologicalComputingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalComputingLaws.isCellOverloaded", - "name": "isCellOverloaded", - "module": "Semantics.Extensions.BiologicalComputingLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BiologicalControlDynamics", - "name": "BiologicalControlDynamics", - "path": "Semantics/Extensions/BiologicalControlDynamics.lean", - "namespace": "Semantics.Biology.Control", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BiologicalControlDynamics.lean \u2014 Laws of optimal control, variety, and robustness. This module formalizes the cybernetic and optimization laws of biological life: 1. Control: Pontryagin's Maximum Princ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 57 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalControlDynamics.biologicalHamiltonian", - "name": "biologicalHamiltonian", - "module": "Semantics.Extensions.BiologicalControlDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalControlDynamics.satisfyRequisiteVariety", - "name": "satisfyRequisiteVariety", - "module": "Semantics.Extensions.BiologicalControlDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalControlDynamics.bellmanError", - "name": "bellmanError", - "module": "Semantics.Extensions.BiologicalControlDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalControlDynamics.paretoEfficiency", - "name": "paretoEfficiency", - "module": "Semantics.Extensions.BiologicalControlDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BiologicalExergyDynamics", - "name": "BiologicalExergyDynamics", - "path": "Semantics/Extensions/BiologicalExergyDynamics.lean", - "namespace": "Semantics.Biology.Exergy", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BiologicalExergyDynamics.lean \u2014 Laws of exergy destruction and entropy production. This module formalizes the thermodynamic laws of biological work and dissipation: 1. Dissipation: The Gouy-Stodola The", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 53 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalExergyDynamics.exergyDestruction", - "name": "exergyDestruction", - "module": "Semantics.Extensions.BiologicalExergyDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalExergyDynamics.minimumEntropyProductionUpdate", - "name": "minimumEntropyProductionUpdate", - "module": "Semantics.Extensions.BiologicalExergyDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalExergyDynamics.maximumEntropyProductionRate", - "name": "maximumEntropyProductionRate", - "module": "Semantics.Extensions.BiologicalExergyDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalExergyDynamics.actualMetabolicWork", - "name": "actualMetabolicWork", - "module": "Semantics.Extensions.BiologicalExergyDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BiologicalExtremalLaws", - "name": "BiologicalExtremalLaws", - "path": "Semantics/Extensions/BiologicalExtremalLaws.lean", - "namespace": "Semantics.Biology.Extremal", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BiologicalExtremalLaws.lean \u2014 Extremal principles of biological action, time, and power. This module formalizes the variational and optimality laws of biological systems: 1. Least Time: Fermat's Princi", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 63 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalExtremalLaws.animalPathRefraction", - "name": "animalPathRefraction", - "module": "Semantics.Extensions.BiologicalExtremalLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalExtremalLaws.metabolicFluxObjective", - "name": "metabolicFluxObjective", - "module": "Semantics.Extensions.BiologicalExtremalLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalExtremalLaws.powerOutput", - "name": "powerOutput", - "module": "Semantics.Extensions.BiologicalExtremalLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalExtremalLaws.populationLagrangian", - "name": "populationLagrangian", - "module": "Semantics.Extensions.BiologicalExtremalLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalExtremalLaws.populationAction", - "name": "populationAction", - "module": "Semantics.Extensions.BiologicalExtremalLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BiologicalInformationLaws", - "name": "BiologicalInformationLaws", - "path": "Semantics/Extensions/BiologicalInformationLaws.lean", - "namespace": "Semantics.Biology.Information", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BiologicalInformationLaws.lean \u2014 Laws of genomic entropy, error robustness, and channel capacity. This module formalizes the information-theoretic laws of biology: 1. Entropy: Shannon entropy of DNA/RN", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 64 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalInformationLaws.genomicEntropy", - "name": "genomicEntropy", - "module": "Semantics.Extensions.BiologicalInformationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalInformationLaws.codonHammingDistance", - "name": "codonHammingDistance", - "module": "Semantics.Extensions.BiologicalInformationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalInformationLaws.aminoAcidRobustness", - "name": "aminoAcidRobustness", - "module": "Semantics.Extensions.BiologicalInformationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalInformationLaws.biologicalChannelCapacity", - "name": "biologicalChannelCapacity", - "module": "Semantics.Extensions.BiologicalInformationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalInformationLaws.errorCatastropheLimit", - "name": "errorCatastropheLimit", - "module": "Semantics.Extensions.BiologicalInformationLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BiologicalIntegrityLaws", - "name": "BiologicalIntegrityLaws", - "path": "Semantics/Extensions/BiologicalIntegrityLaws.lean", - "namespace": "Semantics.Biology.Integrity", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BiologicalIntegrityLaws.lean \u2014 Laws of epigenetic aging, kinetic proofreading, and biodiversity. This module formalizes the laws of biological stability and information integrity: 1. Aging: Horvath's e", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 53 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalIntegrityLaws.epigeneticAgePredictor", - "name": "epigeneticAgePredictor", - "module": "Semantics.Extensions.BiologicalIntegrityLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalIntegrityLaws.proofreadingErrorRate", - "name": "proofreadingErrorRate", - "module": "Semantics.Extensions.BiologicalIntegrityLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalIntegrityLaws.biodiversityNumber", - "name": "biodiversityNumber", - "module": "Semantics.Extensions.BiologicalIntegrityLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BiologicalInvariants", - "name": "BiologicalInvariants", - "path": "Semantics/Extensions/BiologicalInvariants.lean", - "namespace": "Semantics.Extensions.BiologicalInvariants", - "doc": "# Biological Invariants as Formal Operators This file defines fundamental biological laws as formal operators on semantic manifolds. Each law represents a constraint or a flow on the biological state space, verified through their canonical equations and integrated into a differential geometric view", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 8, - "struct_count": 7, - "inductive_count": 0, - "line_count": 211 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalInvariants.kleiberLaw", - "name": "kleiberLaw", - "module": "Semantics.Extensions.BiologicalInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalInvariants.lvFlow", - "name": "lvFlow", - "module": "Semantics.Extensions.BiologicalInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalInvariants.michaelisMentenLaw", - "name": "michaelisMentenLaw", - "module": "Semantics.Extensions.BiologicalInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalInvariants.hhCurrent", - "name": "hhCurrent", - "module": "Semantics.Extensions.BiologicalInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalInvariants.hardyWeinbergInvariant", - "name": "hardyWeinbergInvariant", - "module": "Semantics.Extensions.BiologicalInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalInvariants.arrheniusLaw", - "name": "arrheniusLaw", - "module": "Semantics.Extensions.BiologicalInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalInvariants.fickFirstLaw", - "name": "fickFirstLaw", - "module": "Semantics.Extensions.BiologicalInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalInvariants.fickSecondLaw", - "name": "fickSecondLaw", - "module": "Semantics.Extensions.BiologicalInvariants" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BiologicalRegulationDynamics", - "name": "BiologicalRegulationDynamics", - "path": "Semantics/Extensions/BiologicalRegulationDynamics.lean", - "namespace": "Semantics.Biology.Regulation", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BiologicalRegulationDynamics.lean \u2014 Laws of metabolic control, robust adaptation, and regulatory selection. This module formalizes the laws of biological feedback and regulation: 1. Metabolism: Metabol", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 1, - "line_count": 65 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalRegulationDynamics.fluxControlCoefficient", - "name": "fluxControlCoefficient", - "module": "Semantics.Extensions.BiologicalRegulationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalRegulationDynamics.isControlLawful", - "name": "isControlLawful", - "module": "Semantics.Extensions.BiologicalRegulationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalRegulationDynamics.adaptationUpdate", - "name": "adaptationUpdate", - "module": "Semantics.Extensions.BiologicalRegulationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalRegulationDynamics.isAdapted", - "name": "isAdapted", - "module": "Semantics.Extensions.BiologicalRegulationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalRegulationDynamics.optimalRegulatoryMode", - "name": "optimalRegulatoryMode", - "module": "Semantics.Extensions.BiologicalRegulationDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BiologicalRhythmLaws", - "name": "BiologicalRhythmLaws", - "path": "Semantics/Extensions/BiologicalRhythmLaws.lean", - "namespace": "Semantics.Biology.Rhythms", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BiologicalRhythmLaws.lean \u2014 Laws of chemical oscillators, synchronization, and conservation. This module formalizes the laws of temporal organization and mass balance: 1. Chemical: The Oregonator model", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 1, - "inductive_count": 0, - "line_count": 69 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalRhythmLaws.oregonatorUpdate", - "name": "oregonatorUpdate", - "module": "Semantics.Extensions.BiologicalRhythmLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalRhythmLaws.synchronyPhaseDrift", - "name": "synchronyPhaseDrift", - "module": "Semantics.Extensions.BiologicalRhythmLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalRhythmLaws.isEntrained", - "name": "isEntrained", - "module": "Semantics.Extensions.BiologicalRhythmLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalRhythmLaws.continuityUpdate", - "name": "continuityUpdate", - "module": "Semantics.Extensions.BiologicalRhythmLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BiologicalSensingLaws", - "name": "BiologicalSensingLaws", - "path": "Semantics/Extensions/BiologicalSensingLaws.lean", - "namespace": "Semantics.Biology.Sensing", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BiologicalSensingLaws.lean \u2014 Physical limits of biological chemoreception and signaling. This module formalizes the fundamental physical boundaries of biological sensing: 1. Precision: Berg-Purcell lim", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 50 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalSensingLaws.bergPurcellErrorSq", - "name": "bergPurcellErrorSq", - "module": "Semantics.Extensions.BiologicalSensingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalSensingLaws.signalingSNR", - "name": "signalingSNR", - "module": "Semantics.Extensions.BiologicalSensingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalSensingLaws.positionalPrecision", - "name": "positionalPrecision", - "module": "Semantics.Extensions.BiologicalSensingLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BiologicalSystemComplexity", - "name": "BiologicalSystemComplexity", - "path": "Semantics/Extensions/BiologicalSystemComplexity.lean", - "namespace": "Semantics.Biology.Complexity", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BiologicalSystemComplexity.lean \u2014 Laws of small-world networks, modularity, and complexity growth. This module formalizes the structural and evolutionary laws of complex biological systems: 1. Networks", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 58 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalSystemComplexity.smallWorldClustering", - "name": "smallWorldClustering", - "module": "Semantics.Extensions.BiologicalSystemComplexity" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalSystemComplexity.modularityIndex", - "name": "modularityIndex", - "module": "Semantics.Extensions.BiologicalSystemComplexity" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalSystemComplexity.expectedLossHOT", - "name": "expectedLossHOT", - "module": "Semantics.Extensions.BiologicalSystemComplexity" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalSystemComplexity.complexityGrowth", - "name": "complexityGrowth", - "module": "Semantics.Extensions.BiologicalSystemComplexity" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BiologicalTransportLaws", - "name": "BiologicalTransportLaws", - "path": "Semantics/Extensions/BiologicalTransportLaws.lean", - "namespace": "Semantics.Biology.Transport", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BiologicalTransportLaws.lean \u2014 Laws of fluid dynamics, advection, and capillary exchange. This module formalizes the physical laws of biological mass transport: 1. Dimensionless: Reynolds and Peclet nu", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 60 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalTransportLaws.reynoldsNumber", - "name": "reynoldsNumber", - "module": "Semantics.Extensions.BiologicalTransportLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalTransportLaws.pecletNumber", - "name": "pecletNumber", - "module": "Semantics.Extensions.BiologicalTransportLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalTransportLaws.darcyVelocity", - "name": "darcyVelocity", - "module": "Semantics.Extensions.BiologicalTransportLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiologicalTransportLaws.starlingFiltration", - "name": "starlingFiltration", - "module": "Semantics.Extensions.BiologicalTransportLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BiomolecularFoldingLaws", - "name": "BiomolecularFoldingLaws", - "path": "Semantics/Extensions/BiomolecularFoldingLaws.lean", - "namespace": "Semantics.Biology.Folding", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BiomolecularFoldingLaws.lean \u2014 Laws of protein folding thermodynamics and kinetics. This module formalizes the laws governing molecular self-organization: 1. Thermodynamics: Anfinsen's Dogma and the na", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 68 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiomolecularFoldingLaws.foldingStability", - "name": "foldingStability", - "module": "Semantics.Extensions.BiomolecularFoldingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiomolecularFoldingLaws.isNativeState", - "name": "isNativeState", - "module": "Semantics.Extensions.BiomolecularFoldingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiomolecularFoldingLaws.searchSpaceSize", - "name": "searchSpaceSize", - "module": "Semantics.Extensions.BiomolecularFoldingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiomolecularFoldingLaws.conformationProbability", - "name": "conformationProbability", - "module": "Semantics.Extensions.BiomolecularFoldingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiomolecularFoldingLaws.relativeContactOrder", - "name": "relativeContactOrder", - "module": "Semantics.Extensions.BiomolecularFoldingLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BiophysicalStructuralLaws", - "name": "BiophysicalStructuralLaws", - "path": "Semantics/Extensions/BiophysicalStructuralLaws.lean", - "namespace": "Semantics.Biology.Physics", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BiophysicalStructuralLaws.lean \u2014 Laws of excitability, patterning, and elasticity. This module formalizes the laws of biological physics and mechanics: 1. Excitability: FitzHugh-Nagumo simplified neuro", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 1, - "inductive_count": 0, - "line_count": 68 - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiophysicalStructuralLaws.fhnStep", - "name": "fhnStep", - "module": "Semantics.Extensions.BiophysicalStructuralLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiophysicalStructuralLaws.swiftHohenbergStep", - "name": "swiftHohenbergStep", - "module": "Semantics.Extensions.BiophysicalStructuralLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiophysicalStructuralLaws.tissueYoungModulus", - "name": "tissueYoungModulus", - "module": "Semantics.Extensions.BiophysicalStructuralLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BiophysicalStructuralLaws.cytoskeletalForce", - "name": "cytoskeletalForce", - "module": "Semantics.Extensions.BiophysicalStructuralLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.BlitterPolymorphism", - "name": "BlitterPolymorphism", - "path": "Semantics/Extensions/BlitterPolymorphism.lean", - "namespace": "ExtensionScaffold.Compression.BlitterPolymorphism", - "doc": "# Blitter Polymorphism This module keeps the refold/blitter surface executable while avoiding the unsound scaffold proofs from the earlier draft. The algebraic claims here are intentionally modest: the file is a typed interface over compact sensor records, refold projections, and the `ManifoldBlit.", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 26, - "struct_count": 2, - "inductive_count": 0, - "line_count": 266 - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.BlitterPolymorphism.RefoldGrid", - "name": "RefoldGrid", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.BlitterPolymorphism.refold2D_homomorphism", - "name": "refold2D_homomorphism", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.BlitterPolymorphism.blitStep_refold_preserves_type", - "name": "blitStep_refold_preserves_type", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.BlitterPolymorphism.refold_commutes_with_append", - "name": "refold_commutes_with_append", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.BlitterPolymorphism.dag_cache_refold_polymorphic", - "name": "dag_cache_refold_polymorphic", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BlitterPolymorphism.TAG_DAM", - "name": "TAG_DAM", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BlitterPolymorphism.TAG_NET", - "name": "TAG_NET", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BlitterPolymorphism.TAG_TX", - "name": "TAG_TX", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BlitterPolymorphism.TAG_COSMIC", - "name": "TAG_COSMIC", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BlitterPolymorphism.TAG_SEISMIC", - "name": "TAG_SEISMIC", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BlitterPolymorphism.TAG_GNSS", - "name": "TAG_GNSS", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BlitterPolymorphism.arraySetD", - "name": "arraySetD", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BlitterPolymorphism.RefoldSensor", - "name": "RefoldSensor", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BlitterPolymorphism.refold2D", - "name": "refold2D", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BlitterPolymorphism.refold1D", - "name": "refold1D", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BlitterPolymorphism.refold3D", - "name": "refold3D", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "def", - "id": "Semantics.Extensions.BlitterPolymorphism.refoldND", - "name": "refoldND", - "module": "Semantics.Extensions.BlitterPolymorphism" - }, - { - "kind": "module", - "id": "Semantics.Extensions.CancerMetabolicDynamics", - "name": "CancerMetabolicDynamics", - "path": "Semantics/Extensions/CancerMetabolicDynamics.lean", - "namespace": "Semantics.Biology.CancerMetabolic", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CancerMetabolicDynamics.lean \u2014 Laws of mutation kinetics and metabolic elasticity. This module formalizes the laws of oncogenesis and metabolic control: 1. Oncology: Knudson's two-hit and multi-hit mut", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 61 - }, - { - "kind": "def", - "id": "Semantics.Extensions.CancerMetabolicDynamics.cancerOnsetProb", - "name": "cancerOnsetProb", - "module": "Semantics.Extensions.CancerMetabolicDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CancerMetabolicDynamics.elasticityCoefficient", - "name": "elasticityCoefficient", - "module": "Semantics.Extensions.CancerMetabolicDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CancerMetabolicDynamics.checkConnectivityTheorem", - "name": "checkConnectivityTheorem", - "module": "Semantics.Extensions.CancerMetabolicDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CancerMetabolicDynamics.priceSelectionTerm", - "name": "priceSelectionTerm", - "module": "Semantics.Extensions.CancerMetabolicDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.CardiacYieldDynamics", - "name": "CardiacYieldDynamics", - "path": "Semantics/Extensions/CardiacYieldDynamics.lean", - "namespace": "Semantics.Biology.CardiacYield", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CardiacYieldDynamics.lean \u2014 Laws of cardiac action potentials and plant biomass yield. This module formalizes the laws of biological excitability and productivity: 1. Cardiac: The Noble model for Purki", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 65 - }, - { - "kind": "def", - "id": "Semantics.Extensions.CardiacYieldDynamics.averageBiomassWeight", - "name": "averageBiomassWeight", - "module": "Semantics.Extensions.CardiacYieldDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CardiacYieldDynamics.totalBiomassYield", - "name": "totalBiomassYield", - "module": "Semantics.Extensions.CardiacYieldDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CardiacYieldDynamics.gatingVariableUpdate", - "name": "gatingVariableUpdate", - "module": "Semantics.Extensions.CardiacYieldDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CardiacYieldDynamics.nobleSodiumCurrent", - "name": "nobleSodiumCurrent", - "module": "Semantics.Extensions.CardiacYieldDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CardiacYieldDynamics.nobleK1Conductance", - "name": "nobleK1Conductance", - "module": "Semantics.Extensions.CardiacYieldDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.CellularGrowthLaws", - "name": "CellularGrowthLaws", - "path": "Semantics/Extensions/CellularGrowthLaws.lean", - "namespace": "Semantics.Biology.CellGrowth", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CellularGrowthLaws.lean \u2014 Laws of cell size scaling and DNA replication initiation. This module formalizes the laws governing cellular growth and division timing: 1. Scaling: The Cooper-Helmstetter mod", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 52 - }, - { - "kind": "def", - "id": "Semantics.Extensions.CellularGrowthLaws.initiationMassRatio", - "name": "initiationMassRatio", - "module": "Semantics.Extensions.CellularGrowthLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CellularGrowthLaws.averageCellSize", - "name": "averageCellSize", - "module": "Semantics.Extensions.CellularGrowthLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CellularGrowthLaws.divisionVolume", - "name": "divisionVolume", - "module": "Semantics.Extensions.CellularGrowthLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.CellularMotionLimits", - "name": "CellularMotionLimits", - "path": "Semantics/Extensions/CellularMotionLimits.lean", - "namespace": "Semantics.Biology.PhysicalLimits", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CellularMotionLimits.lean \u2014 Laws of cell size limits, biological motion, and diffusion. This module formalizes the physical boundaries of life and movement: 1. Minimalism: Minimum cell volume constrain", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 63 - }, - { - "kind": "def", - "id": "Semantics.Extensions.CellularMotionLimits.minimumRequiredVolume", - "name": "minimumRequiredVolume", - "module": "Semantics.Extensions.CellularMotionLimits" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CellularMotionLimits.isRadiusPhysicallyPossible", - "name": "isRadiusPhysicallyPossible", - "module": "Semantics.Extensions.CellularMotionLimits" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CellularMotionLimits.optimalMovementSpeed", - "name": "optimalMovementSpeed", - "module": "Semantics.Extensions.CellularMotionLimits" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CellularMotionLimits.movementFrequency", - "name": "movementFrequency", - "module": "Semantics.Extensions.CellularMotionLimits" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CellularMotionLimits.diffusionTimeLimit", - "name": "diffusionTimeLimit", - "module": "Semantics.Extensions.CellularMotionLimits" - }, - { - "kind": "module", - "id": "Semantics.Extensions.CellularSignalingDynamics", - "name": "CellularSignalingDynamics", - "path": "Semantics/Extensions/CellularSignalingDynamics.lean", - "namespace": "Semantics.Biology.Signaling", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CellularSignalingDynamics.lean \u2014 Laws of ultrasensitivity, cell cycles, and chemotaxis. This module formalizes the laws of sub-cellular decision making and motion: 1. Ultrasensitivity: Goldbeter-Koshla", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 1, - "inductive_count": 0, - "line_count": 69 - }, - { - "kind": "def", - "id": "Semantics.Extensions.CellularSignalingDynamics.goldbeterKoshlandSwitch", - "name": "goldbeterKoshlandSwitch", - "module": "Semantics.Extensions.CellularSignalingDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CellularSignalingDynamics.tysonStep", - "name": "tysonStep", - "module": "Semantics.Extensions.CellularSignalingDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CellularSignalingDynamics.molecularRepression", - "name": "molecularRepression", - "module": "Semantics.Extensions.CellularSignalingDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CellularSignalingDynamics.chemotacticFlux", - "name": "chemotacticFlux", - "module": "Semantics.Extensions.CellularSignalingDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.CognitiveAcousticDynamics", - "name": "CognitiveAcousticDynamics", - "path": "Semantics/Extensions/CognitiveAcousticDynamics.lean", - "namespace": "Semantics.Biology.Cognitive", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CognitiveAcousticDynamics.lean \u2014 Laws of consciousness, acoustics, and synthetic biology. This module formalizes high-level cognitive and sensory laws: 1. 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Authors: Research Stack Team CognitiveEfficiencyLaws.lean \u2014 Laws of information processing, movement, and metabolic cost. This module formalizes the informational and metabolic constraints on cognitive systems: 1. Decision: Hick's", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 63 - }, - { - "kind": "def", - "id": "Semantics.Extensions.CognitiveEfficiencyLaws.hicksReactionTime", - "name": "hicksReactionTime", - "module": "Semantics.Extensions.CognitiveEfficiencyLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CognitiveEfficiencyLaws.fittsMovementTime", - "name": "fittsMovementTime", - "module": "Semantics.Extensions.CognitiveEfficiencyLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CognitiveEfficiencyLaws.zipfProbability", - "name": "zipfProbability", - "module": "Semantics.Extensions.CognitiveEfficiencyLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CognitiveEfficiencyLaws.metabolicBitCost", - "name": "metabolicBitCost", - "module": "Semantics.Extensions.CognitiveEfficiencyLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.CognitiveLearningDynamics", - "name": "CognitiveLearningDynamics", - "path": "Semantics/Extensions/CognitiveLearningDynamics.lean", - "namespace": "Semantics.Biology.Cognition", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CognitiveLearningDynamics.lean \u2014 Laws of associative learning, cognitive foraging, and memory retrieval. This module formalizes the laws of neural adaptation and information search: 1. Learning: The Re", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 56 - }, - { - "kind": "def", - "id": "Semantics.Extensions.CognitiveLearningDynamics.associativeStrengthUpdate", - "name": "associativeStrengthUpdate", - "module": "Semantics.Extensions.CognitiveLearningDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CognitiveLearningDynamics.levySearchProbability", - "name": "levySearchProbability", - "module": "Semantics.Extensions.CognitiveLearningDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CognitiveLearningDynamics.isCognitiveSwitchOptimal", - "name": "isCognitiveSwitchOptimal", - "module": "Semantics.Extensions.CognitiveLearningDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CognitiveLearningDynamics.memorySamplingProb", - "name": "memorySamplingProb", - "module": "Semantics.Extensions.CognitiveLearningDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.CollectiveBiophysics", - "name": "CollectiveBiophysics", - "path": "Semantics/Extensions/CollectiveBiophysics.lean", - "namespace": "Semantics.Biology.Collective", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CollectiveBiophysics.lean \u2014 Laws of swarming, navigation, and membrane mechanics. This module formalizes multi-agent and physical biological laws: 1. Swarming: Vicsek alignment and phase transitions. 2", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 0, - "inductive_count": 0, - "line_count": 76 - }, - { - "kind": "def", - "id": "Semantics.Extensions.CollectiveBiophysics.vicsekAngleUpdate", - "name": "vicsekAngleUpdate", - "module": "Semantics.Extensions.CollectiveBiophysics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CollectiveBiophysics.vicsekOrderParameter", - "name": "vicsekOrderParameter", - "module": "Semantics.Extensions.CollectiveBiophysics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CollectiveBiophysics.levyStepProbability", - "name": "levyStepProbability", - "module": "Semantics.Extensions.CollectiveBiophysics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CollectiveBiophysics.membranePressureDiff", - "name": "membranePressureDiff", - "module": "Semantics.Extensions.CollectiveBiophysics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CollectiveBiophysics.osmoticPressure", - "name": "osmoticPressure", - "module": "Semantics.Extensions.CollectiveBiophysics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CollectiveBiophysics.cableSpaceConstant", - "name": "cableSpaceConstant", - "module": "Semantics.Extensions.CollectiveBiophysics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.ConstrainedEnergyDynamics", - "name": "ConstrainedEnergyDynamics", - "path": "Semantics/Extensions/ConstrainedEnergyDynamics.lean", - "namespace": "Semantics.Biology.Metabolism", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team ConstrainedEnergyDynamics.lean \u2014 Laws of constrained energy expenditure and metabolic ceilings. This module formalizes Herman Pontzer's laws of human and animal metabolism: 1. Constraint: The constrain", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 58 - }, - { - "kind": "def", - "id": "Semantics.Extensions.ConstrainedEnergyDynamics.constrainedTEE", - "name": "constrainedTEE", - "module": "Semantics.Extensions.ConstrainedEnergyDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.ConstrainedEnergyDynamics.energyCompensationConstant", - "name": "energyCompensationConstant", - "module": "Semantics.Extensions.ConstrainedEnergyDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.ConstrainedEnergyDynamics.metabolicCeiling", - "name": "metabolicCeiling", - "module": "Semantics.Extensions.ConstrainedEnergyDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.ConstrainedEnergyDynamics.metabolicScope", - "name": "metabolicScope", - "module": "Semantics.Extensions.ConstrainedEnergyDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.ConstrainedEnergyDynamics.maintenanceBudget", - "name": "maintenanceBudget", - "module": "Semantics.Extensions.ConstrainedEnergyDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.ConstructalMuscleDynamics", - "name": "ConstructalMuscleDynamics", - "path": "Semantics/Extensions/ConstructalMuscleDynamics.lean", - "namespace": "Semantics.Biology.Mechanics", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team ConstructalMuscleDynamics.lean \u2014 Laws of optimal flow, muscle mechanics, and geometric scaling. This module formalizes the laws of biological design and movement: 1. Optimality: Bejan's Constructal Law", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 58 - }, - { - "kind": "def", - "id": "Semantics.Extensions.ConstructalMuscleDynamics.optimalBranchingRatio", - "name": "optimalBranchingRatio", - "module": "Semantics.Extensions.ConstructalMuscleDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.ConstructalMuscleDynamics.muscleShorteningVelocity", - "name": "muscleShorteningVelocity", - "module": "Semantics.Extensions.ConstructalMuscleDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.ConstructalMuscleDynamics.totalMuscleForce", - "name": "totalMuscleForce", - "module": "Semantics.Extensions.ConstructalMuscleDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.ConstructalMuscleDynamics.surfaceVolumeRatio", - "name": "surfaceVolumeRatio", - "module": "Semantics.Extensions.ConstructalMuscleDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.CorticalScalingDynamics", - "name": "CorticalScalingDynamics", - "path": "Semantics/Extensions/CorticalScalingDynamics.lean", - "namespace": "Semantics.Biology.BrainScaling", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CorticalScalingDynamics.lean \u2014 Laws of brain scaling, cortical connectivity, and white matter volume. This module formalizes the structural laws of the vertebrate brain: 1. Dimensionality: Charles Stev", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 65 - }, - { - "kind": "def", - "id": "Semantics.Extensions.CorticalScalingDynamics.corticalNeuronScaling", - "name": "corticalNeuronScaling", - "module": "Semantics.Extensions.CorticalScalingDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CorticalScalingDynamics.whiteMatterScaling", - "name": "whiteMatterScaling", - "module": "Semantics.Extensions.CorticalScalingDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CorticalScalingDynamics.isDendriticBranchLawful", - "name": "isDendriticBranchLawful", - "module": "Semantics.Extensions.CorticalScalingDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.CorticalScalingDynamics.synapsisPerPairInvariant", - "name": "synapsisPerPairInvariant", - "module": "Semantics.Extensions.CorticalScalingDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.DevelopmentalScalingLaws", - "name": "DevelopmentalScalingLaws", - "path": "Semantics/Extensions/DevelopmentalScalingLaws.lean", - "namespace": "Semantics.Biology.Development", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team DevelopmentalScalingLaws.lean \u2014 Laws of segmentation and tissue-size scaling. This module formalizes the laws of biological pattern formation at scale: 1. Rhythms: Cooke-Zeeman Clock-and-Wavefront mode", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 55 - }, - { - "kind": "def", - "id": "Semantics.Extensions.DevelopmentalScalingLaws.somiteSize", - "name": "somiteSize", - "module": "Semantics.Extensions.DevelopmentalScalingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.DevelopmentalScalingLaws.scaledDecayLength", - "name": "scaledDecayLength", - "module": "Semantics.Extensions.DevelopmentalScalingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.DevelopmentalScalingLaws.scaleInvariantConcentration", - "name": "scaleInvariantConcentration", - "module": "Semantics.Extensions.DevelopmentalScalingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.DevelopmentalScalingLaws.divisionRate", - "name": "divisionRate", - "module": "Semantics.Extensions.DevelopmentalScalingLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.EcologicalBehaviors", - "name": "EcologicalBehaviors", - "path": "Semantics/Extensions/EcologicalBehaviors.lean", - "namespace": "Semantics.Biology.Ecology", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team EcologicalBehaviors.lean \u2014 Laws of competition, resilience, and behavioral evolution. This module formalizes macroscopic biological laws: 1. Competition: Gause's Principle of Exclusion. 2. Resilience: ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 64 - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalBehaviors.competitiveExclusionUpdate", - "name": "competitiveExclusionUpdate", - "module": "Semantics.Extensions.EcologicalBehaviors" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalBehaviors.alleeEffectRate", - "name": "alleeEffectRate", - "module": "Semantics.Extensions.EcologicalBehaviors" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalBehaviors.islandSpeciesFlux", - "name": "islandSpeciesFlux", - "module": "Semantics.Extensions.EcologicalBehaviors" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalBehaviors.optimalStayTimeCondition", - "name": "optimalStayTimeCondition", - "module": "Semantics.Extensions.EcologicalBehaviors" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalBehaviors.hamiltionRuleSatisfied", - "name": "hamiltionRuleSatisfied", - "module": "Semantics.Extensions.EcologicalBehaviors" - }, - { - "kind": "module", - "id": "Semantics.Extensions.EcologicalInformationDynamics", - "name": "EcologicalInformationDynamics", - "path": "Semantics/Extensions/EcologicalInformationDynamics.lean", - "namespace": "Semantics.Biology.EcoInfo", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team EcologicalInformationDynamics.lean \u2014 Laws of ecosystem richness and information stability. This module formalizes Ramon Margalef's laws of ecological information: 1. Richness: Margalef's Diversity Inde", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 59 - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalInformationDynamics.margalefRichness", - "name": "margalefRichness", - "module": "Semantics.Extensions.EcologicalInformationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalInformationDynamics.shannonDiversity", - "name": "shannonDiversity", - "module": "Semantics.Extensions.EcologicalInformationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalInformationDynamics.isSystemStable", - "name": "isSystemStable", - "module": "Semantics.Extensions.EcologicalInformationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalInformationDynamics.informationShedding", - "name": "informationShedding", - "module": "Semantics.Extensions.EcologicalInformationDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.EcologicalNetworkDynamics", - "name": "EcologicalNetworkDynamics", - "path": "Semantics/Extensions/EcologicalNetworkDynamics.lean", - "namespace": "Semantics.Biology.EcoNetwork", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team EcologicalNetworkDynamics.lean \u2014 Laws of nutrient stoichiometry, predator-prey interaction, and network complexity. This module formalizes the laws of ecosystem structure and function: 1. Stoichiometry", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 0, - "inductive_count": 0, - "line_count": 80 - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalNetworkDynamics.redfieldCheck", - "name": "redfieldCheck", - "module": "Semantics.Extensions.EcologicalNetworkDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalNetworkDynamics.hollingType1", - "name": "hollingType1", - "module": "Semantics.Extensions.EcologicalNetworkDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalNetworkDynamics.hollingType2", - "name": "hollingType2", - "module": "Semantics.Extensions.EcologicalNetworkDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalNetworkDynamics.hollingType3", - "name": "hollingType3", - "module": "Semantics.Extensions.EcologicalNetworkDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalNetworkDynamics.networkConnectance", - "name": "networkConnectance", - "module": "Semantics.Extensions.EcologicalNetworkDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalNetworkDynamics.taylorsVariance", - "name": "taylorsVariance", - "module": "Semantics.Extensions.EcologicalNetworkDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.EcologicalSpecializationLaws", - "name": "EcologicalSpecializationLaws", - "path": "Semantics/Extensions/EcologicalSpecializationLaws.lean", - "namespace": "Semantics.Biology.Specialization", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team EcologicalSpecializationLaws.lean \u2014 Laws of niche partitioning, molecular motors, and paradox strategies. This module formalizes the laws of biological specialization and efficiency: 1. Ecology: MacArt", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 68 - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalSpecializationLaws.brokenStickAbundance", - "name": "brokenStickAbundance", - "module": "Semantics.Extensions.EcologicalSpecializationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalSpecializationLaws.nicheBreadthReciprocal", - "name": "nicheBreadthReciprocal", - "module": "Semantics.Extensions.EcologicalSpecializationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalSpecializationLaws.nicheOverlapAsym", - "name": "nicheOverlapAsym", - "module": "Semantics.Extensions.EcologicalSpecializationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalSpecializationLaws.motorThermodynamicEfficiency", - "name": "motorThermodynamicEfficiency", - "module": "Semantics.Extensions.EcologicalSpecializationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologicalSpecializationLaws.parrondoWinProb", - "name": "parrondoWinProb", - "module": "Semantics.Extensions.EcologicalSpecializationLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.EcologyMechanicalLaws", - "name": "EcologyMechanicalLaws", - "path": "Semantics/Extensions/EcologyMechanicalLaws.lean", - "namespace": "Semantics.Biology.EcologyMech", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team EcologyMechanicalLaws.lean \u2014 Laws of species diversity scaling and cellular prestress. This module formalizes the laws of ecological richness and cellular structural tuning: 1. Diversity: The Arrhenius", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 2, - "struct_count": 0, - "inductive_count": 0, - "line_count": 42 - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologyMechanicalLaws.speciesRichnessArea", - "name": "speciesRichnessArea", - "module": "Semantics.Extensions.EcologyMechanicalLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EcologyMechanicalLaws.cellularStiffness", - "name": "cellularStiffness", - "module": "Semantics.Extensions.EcologyMechanicalLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.EpidemiologicalDynamics", - "name": "EpidemiologicalDynamics", - "path": "Semantics/Extensions/EpidemiologicalDynamics.lean", - "namespace": "Semantics.Biology.Epidemiology", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team EpidemiologicalDynamics.lean \u2014 Laws of infectious disease spread and herd immunity. This module formalizes the laws of biological contagion: 1. Transmission: The Basic Reproduction Number (R0). 2. Resi", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 1, - "inductive_count": 0, - "line_count": 57 - }, - { - "kind": "def", - "id": "Semantics.Extensions.EpidemiologicalDynamics.basicReproductionNumber", - "name": "basicReproductionNumber", - "module": "Semantics.Extensions.EpidemiologicalDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EpidemiologicalDynamics.herdImmunityThreshold", - "name": "herdImmunityThreshold", - "module": "Semantics.Extensions.EpidemiologicalDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EpidemiologicalDynamics.sirUpdate", - "name": "sirUpdate", - "module": "Semantics.Extensions.EpidemiologicalDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.EpidemiologicalTrophicDynamics", - "name": "EpidemiologicalTrophicDynamics", - "path": "Semantics/Extensions/EpidemiologicalTrophicDynamics.lean", - "namespace": "Semantics.Biology.Waves", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team EpidemiologicalTrophicDynamics.lean \u2014 Laws of infection chain-binomials and trophic waves. This module formalizes the laws of contagion spread and food web energy flow: 1. Infection: The Reed-Frost cha", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 52 - }, - { - "kind": "def", - "id": "Semantics.Extensions.EpidemiologicalTrophicDynamics.reedFrostNewCases", - "name": "reedFrostNewCases", - "module": "Semantics.Extensions.EpidemiologicalTrophicDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EpidemiologicalTrophicDynamics.trophicWaveUpdate", - "name": "trophicWaveUpdate", - "module": "Semantics.Extensions.EpidemiologicalTrophicDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EpidemiologicalTrophicDynamics.trophicKinetics", - "name": "trophicKinetics", - "module": "Semantics.Extensions.EpidemiologicalTrophicDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.EvolutionaryLandscapeDynamics", - "name": "EvolutionaryLandscapeDynamics", - "path": "Semantics/Extensions/EvolutionaryLandscapeDynamics.lean", - "namespace": "Semantics.Biology.Landscapes", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team EvolutionaryLandscapeDynamics.lean \u2014 Laws of adaptive landscapes and the shifting balance theory. This module formalizes the laws of population movement across fitness manifolds: 1. Gradient: Wright's ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 58 - }, - { - "kind": "def", - "id": "Semantics.Extensions.EvolutionaryLandscapeDynamics.frequencyChangeGradient", - "name": "frequencyChangeGradient", - "module": "Semantics.Extensions.EvolutionaryLandscapeDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EvolutionaryLandscapeDynamics.populationMeanFitness", - "name": "populationMeanFitness", - "module": "Semantics.Extensions.EvolutionaryLandscapeDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EvolutionaryLandscapeDynamics.isDriftDominant", - "name": "isDriftDominant", - "module": "Semantics.Extensions.EvolutionaryLandscapeDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EvolutionaryLandscapeDynamics.isAscendingPeak", - "name": "isAscendingPeak", - "module": "Semantics.Extensions.EvolutionaryLandscapeDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.EvolutionaryNetworkDynamics", - "name": "EvolutionaryNetworkDynamics", - "path": "Semantics/Extensions/EvolutionaryNetworkDynamics.lean", - "namespace": "Semantics.Biology.Evolutionary", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team EvolutionaryNetworkDynamics.lean \u2014 Laws of evolutionary strategy and network topology. This module formalizes the laws of competition and structure in biological systems: 1. Strategy: Evolutionarily St", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 0, - "inductive_count": 0, - "line_count": 72 - }, - { - "kind": "def", - "id": "Semantics.Extensions.EvolutionaryNetworkDynamics.hawkDoveMixedStrategy", - "name": "hawkDoveMixedStrategy", - "module": "Semantics.Extensions.EvolutionaryNetworkDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EvolutionaryNetworkDynamics.isStrategyStable", - "name": "isStrategyStable", - "module": "Semantics.Extensions.EvolutionaryNetworkDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EvolutionaryNetworkDynamics.genusExtinctionRate", - "name": "genusExtinctionRate", - "module": "Semantics.Extensions.EvolutionaryNetworkDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EvolutionaryNetworkDynamics.degreeProbability", - "name": "degreeProbability", - "module": "Semantics.Extensions.EvolutionaryNetworkDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EvolutionaryNetworkDynamics.attachmentWeight", - "name": "attachmentWeight", - "module": "Semantics.Extensions.EvolutionaryNetworkDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.EvolutionaryNetworkDynamics.isMutationNeutral", - "name": "isMutationNeutral", - "module": "Semantics.Extensions.EvolutionaryNetworkDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.FisherGeometricAdaptationLaws", - "name": "FisherGeometricAdaptationLaws", - "path": "Semantics/Extensions/FisherGeometricAdaptationLaws.lean", - "namespace": "Semantics.Biology.FisherGeometric", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team FisherGeometricAdaptationLaws.lean \u2014 Laws of phenotypic complexity and beneficial mutations. This module formalizes R.A. Fisher's Geometric Model (FGM) of adaptation: 1. Fitness: Gaussian phenotypic fi", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 63 - }, - { - "kind": "def", - "id": "Semantics.Extensions.FisherGeometricAdaptationLaws.phenotypicFitness", - "name": "phenotypicFitness", - "module": "Semantics.Extensions.FisherGeometricAdaptationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.FisherGeometricAdaptationLaws.beneficialMutationProb", - "name": "beneficialMutationProb", - "module": "Semantics.Extensions.FisherGeometricAdaptationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.FisherGeometricAdaptationLaws.Pa_limit_zero", - "name": "Pa_limit_zero", - "module": "Semantics.Extensions.FisherGeometricAdaptationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.FisherGeometricAdaptationLaws.complexityPenalty", - "name": "complexityPenalty", - "module": "Semantics.Extensions.FisherGeometricAdaptationLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.FoundationalBioLaws", - "name": "FoundationalBioLaws", - "path": "Semantics/Extensions/FoundationalBioLaws.lean", - "namespace": "Semantics.Biology.Foundations", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team FoundationalBioLaws.lean \u2014 Laws of classical genetics and ecological limits. This module formalizes the bedrock laws of biology: 1. Genetics: Mendelian segregation and Morgan's linkage frequency. 2. Ec", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 69 - }, - { - "kind": "def", - "id": "Semantics.Extensions.FoundationalBioLaws.mendelianGenotypeSum", - "name": "mendelianGenotypeSum", - "module": "Semantics.Extensions.FoundationalBioLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.FoundationalBioLaws.recombinationFrequency", - "name": "recombinationFrequency", - "module": "Semantics.Extensions.FoundationalBioLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.FoundationalBioLaws.liebigGrowthRate", - "name": "liebigGrowthRate", - "module": "Semantics.Extensions.FoundationalBioLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.FoundationalBioLaws.performanceTolerance", - "name": "performanceTolerance", - "module": "Semantics.Extensions.FoundationalBioLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.FoundationalBioLaws.polygenicTraitValue", - "name": "polygenicTraitValue", - "module": "Semantics.Extensions.FoundationalBioLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.FractalVascularLaws", - "name": "FractalVascularLaws", - "path": "Semantics/Extensions/FractalVascularLaws.lean", - "namespace": "Semantics.Biology.Fractal", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team FractalVascularLaws.lean \u2014 Laws of hierarchical branching and allometric scaling. This module formalizes the fractal and metabolic laws of biological networks: 1. Horton: Hierarchical branch numbers an", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 62 - }, - { - "kind": "def", - "id": "Semantics.Extensions.FractalVascularLaws.branchCount", - "name": "branchCount", - "module": "Semantics.Extensions.FractalVascularLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.FractalVascularLaws.branchLength", - "name": "branchLength", - "module": "Semantics.Extensions.FractalVascularLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.FractalVascularLaws.wbeScalingExponent", - "name": "wbeScalingExponent", - "module": "Semantics.Extensions.FractalVascularLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.FractalVascularLaws.heartRateScale", - "name": "heartRateScale", - "module": "Semantics.Extensions.FractalVascularLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.FractalVascularLaws.bloodVolumeScale", - "name": "bloodVolumeScale", - "module": "Semantics.Extensions.FractalVascularLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.GenomicEvolutionLaws", - "name": "GenomicEvolutionLaws", - "path": "Semantics/Extensions/GenomicEvolutionLaws.lean", - "namespace": "Semantics.Biology.GenomeEvolution", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GenomicEvolutionLaws.lean \u2014 Laws of mutation accumulation and the drift-selection barrier. This module formalizes the laws governing genomic complexity and stability: 1. Accumulation: Muller's Ratchet ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 52 - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicEvolutionLaws.fittestClassSize", - "name": "fittestClassSize", - "module": "Semantics.Extensions.GenomicEvolutionLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicEvolutionLaws.isSelectionVisible", - "name": "isSelectionVisible", - "module": "Semantics.Extensions.GenomicEvolutionLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicEvolutionLaws.neutralDiversityTheta", - "name": "neutralDiversityTheta", - "module": "Semantics.Extensions.GenomicEvolutionLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.GenomicInformationLaws", - "name": "GenomicInformationLaws", - "path": "Semantics/Extensions/GenomicInformationLaws.lean", - "namespace": "Semantics.Biology.GenomeInfo", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GenomicInformationLaws.lean \u2014 Laws of mutation fidelity, non-coding scaling, and minimal genomes. This module formalizes the laws governing genomic information integrity: 1. Fidelity: Drake's Rule (Inv", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 65 - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicInformationLaws.drakeMutationRate", - "name": "drakeMutationRate", - "module": "Semantics.Extensions.GenomicInformationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicInformationLaws.driftBarrierLog", - "name": "driftBarrierLog", - "module": "Semantics.Extensions.GenomicInformationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicInformationLaws.minimalGenomeGenes", - "name": "minimalGenomeGenes", - "module": "Semantics.Extensions.GenomicInformationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicInformationLaws.isGenomeAutonomous", - "name": "isGenomeAutonomous", - "module": "Semantics.Extensions.GenomicInformationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicInformationLaws.effectiveInformation", - "name": "effectiveInformation", - "module": "Semantics.Extensions.GenomicInformationLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.GenomicScalingLaws", - "name": "GenomicScalingLaws", - "path": "Semantics/Extensions/GenomicScalingLaws.lean", - "namespace": "Semantics.Biology.GenomeScaling", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GenomicScalingLaws.lean \u2014 Laws of gene family size and functional category scaling. This module formalizes Eugene Koonin's universal scaling laws of genome evolution: 1. Complexity: The power law distr", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 57 - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicScalingLaws.familySizeProb", - "name": "familySizeProb", - "module": "Semantics.Extensions.GenomicScalingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicScalingLaws.functionalGeneCount", - "name": "functionalGeneCount", - "module": "Semantics.Extensions.GenomicScalingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicScalingLaws.bdimUpdate", - "name": "bdimUpdate", - "module": "Semantics.Extensions.GenomicScalingLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.GenomicStoichiometricDynamics", - "name": "GenomicStoichiometricDynamics", - "path": "Semantics/Extensions/GenomicStoichiometricDynamics.lean", - "namespace": "Semantics.Biology.GenomicOcean", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GenomicStoichiometricDynamics.lean \u2014 Laws of genomic complexity and oceanic buffering. This module formalizes the information and chemical laws of life at scale: 1. Genomics: Adami's complexity and van", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 54 - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicStoichiometricDynamics.adamiComplexity", - "name": "adamiComplexity", - "module": "Semantics.Extensions.GenomicStoichiometricDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicStoichiometricDynamics.regulatoryGeneCount", - "name": "regulatoryGeneCount", - "module": "Semantics.Extensions.GenomicStoichiometricDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicStoichiometricDynamics.revelleFactor", - "name": "revelleFactor", - "module": "Semantics.Extensions.GenomicStoichiometricDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.GenomicStoichiometricDynamics.remineralizationOxygenRatio", - "name": "remineralizationOxygenRatio", - "module": "Semantics.Extensions.GenomicStoichiometricDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold", - "name": "HarmonicKinkPlasmaManifold", - "path": "Semantics/Extensions/HarmonicKinkPlasmaManifold.lean", - "namespace": "Semantics", - "doc": "HarmonicKinkPlasmaManifold.lean ================================= Speculative-lawfulness scaffold for a FAMM-walled, kink-compressed plasma routing manifold. This file does NOT claim a physical rocket exists. It formalizes the abstract routing invariant that motivated the design discussion: \u2022 q_", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 13, - "struct_count": 3, - "inductive_count": 1, - "line_count": 237 - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.contract_sidon_no_collision", - "name": "contract_sidon_no_collision", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.contract_node_thermal_bound", - "name": "contract_node_thermal_bound", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.contract_qDir_floor", - "name": "contract_qDir_floor", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.contract_qWall_floor", - "name": "contract_qWall_floor", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.qDir", - "name": "qDir", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.qWall", - "name": "qWall", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.validPulse", - "name": "validPulse", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.validResidual", - "name": "validResidual", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.sameUnorderedPair", - "name": "sameUnorderedPair", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.pairSignature", - "name": "pairSignature", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.SidonSeparated", - "name": "SidonSeparated", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.classifyNode", - "name": "classifyNode", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.thermallyAdmissible", - "name": "thermallyAdmissible", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.fammWallSafe", - "name": "fammWallSafe", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.mkToyKinkNode", - "name": "mkToyKinkNode", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.toyNodes", - "name": "toyNodes", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HarmonicKinkPlasmaManifold.architectureSummary", - "name": "architectureSummary", - "module": "Semantics.Extensions.HarmonicKinkPlasmaManifold" - }, - { - "kind": "module", - "id": "Semantics.Extensions.HyperbolicStateSurface", - "name": "HyperbolicStateSurface", - "path": "Semantics/Extensions/HyperbolicStateSurface.lean", - "namespace": "HyperbolicStateSurface", - "doc": "Per AGENTS.md \u00a71.4: Uses Q16_16 fixed-point; no Float in core types. `native_decide` on Float is non-deterministic across platforms and must not appear in core logic. All arithmetic is pure integer / fixed-point. The state space of the Go board + DAG is a HYPERBOLA. Forward computation traces one ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 10, - "struct_count": 4, - "inductive_count": 0, - "line_count": 210 - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.HyperbolicStateSurface.ko_rule_prevents_branch_crossing", - "name": "ko_rule_prevents_branch_crossing", - "module": "Semantics.Extensions.HyperbolicStateSurface" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.HyperbolicStateSurface.no_branch_crossing", - "name": "no_branch_crossing", - "module": "Semantics.Extensions.HyperbolicStateSurface" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.HyperbolicStateSurface.asyncFlowPreservesInvariance", - "name": "asyncFlowPreservesInvariance", - "module": "Semantics.Extensions.HyperbolicStateSurface" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HyperbolicStateSurface.onHyperbola", - "name": "onHyperbola", - "module": "Semantics.Extensions.HyperbolicStateSurface" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HyperbolicStateSurface.onHyperbolaApprox", - "name": "onHyperbolaApprox", - "module": "Semantics.Extensions.HyperbolicStateSurface" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HyperbolicStateSurface.forwardStep", - "name": "forwardStep", - "module": "Semantics.Extensions.HyperbolicStateSurface" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HyperbolicStateSurface.backwardRetrieve", - "name": "backwardRetrieve", - "module": "Semantics.Extensions.HyperbolicStateSurface" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HyperbolicStateSurface.cellAtPoint", - "name": "cellAtPoint", - "module": "Semantics.Extensions.HyperbolicStateSurface" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HyperbolicStateSurface.computeFlowLine", - "name": "computeFlowLine", - "module": "Semantics.Extensions.HyperbolicStateSurface" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HyperbolicStateSurface.distanceToReversibility", - "name": "distanceToReversibility", - "module": "Semantics.Extensions.HyperbolicStateSurface" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HyperbolicStateSurface.E_opp_approx", - "name": "E_opp_approx", - "module": "Semantics.Extensions.HyperbolicStateSurface" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HyperbolicStateSurface.pbacsRegion", - "name": "pbacsRegion", - "module": "Semantics.Extensions.HyperbolicStateSurface" - }, - { - "kind": "def", - "id": "Semantics.Extensions.HyperbolicStateSurface.asyncLocalFlow", - "name": "asyncLocalFlow", - "module": "Semantics.Extensions.HyperbolicStateSurface" - }, - { - "kind": "module", - "id": "Semantics.Extensions.LifeHistoryInvariants", - "name": "LifeHistoryInvariants", - "path": "Semantics/Extensions/LifeHistoryInvariants.lean", - "namespace": "Semantics.Biology.LifeHistory", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team LifeHistoryInvariants.lean \u2014 Laws of fractal scaling, longevity, and life history. This module formalizes the temporal and structural laws of biological existence: 1. Scaling: WBE fractal network ratio", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 0, - "inductive_count": 0, - "line_count": 67 - }, - { - "kind": "def", - "id": "Semantics.Extensions.LifeHistoryInvariants.wbeRadiusRatio", - "name": "wbeRadiusRatio", - "module": "Semantics.Extensions.LifeHistoryInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.LifeHistoryInvariants.wbeLengthRatio", - "name": "wbeLengthRatio", - "module": "Semantics.Extensions.LifeHistoryInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.LifeHistoryInvariants.energyExpenditureRate", - "name": "energyExpenditureRate", - "module": "Semantics.Extensions.LifeHistoryInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.LifeHistoryInvariants.rosDamageUpdate", - "name": "rosDamageUpdate", - "module": "Semantics.Extensions.LifeHistoryInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.LifeHistoryInvariants.maturityMortalityProduct", - "name": "maturityMortalityProduct", - "module": "Semantics.Extensions.LifeHistoryInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.LifeHistoryInvariants.reproductiveEffortRatio", - "name": "reproductiveEffortRatio", - "module": "Semantics.Extensions.LifeHistoryInvariants" - }, - { - "kind": "module", - "id": "Semantics.Extensions.LifeHistoryOptimizationLaws", - "name": "LifeHistoryOptimizationLaws", - "path": "Semantics/Extensions/LifeHistoryOptimizationLaws.lean", - "namespace": "Semantics.Biology.Optimization", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team LifeHistoryOptimizationLaws.lean \u2014 Laws of offspring investment and reproductive strategy. This module formalizes the laws of biological resource allocation: 1. Lack's Principle: Optimal clutch size fo", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 61 - }, - { - "kind": "def", - "id": "Semantics.Extensions.LifeHistoryOptimizationLaws.survivingOffspringCount", - "name": "survivingOffspringCount", - "module": "Semantics.Extensions.LifeHistoryOptimizationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.LifeHistoryOptimizationLaws.offspringSurvivalProb", - "name": "offspringSurvivalProb", - "module": "Semantics.Extensions.LifeHistoryOptimizationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.LifeHistoryOptimizationLaws.parentalFitness", - "name": "parentalFitness", - "module": "Semantics.Extensions.LifeHistoryOptimizationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.LifeHistoryOptimizationLaws.isOffspringSizeOptimal", - "name": "isOffspringSizeOptimal", - "module": "Semantics.Extensions.LifeHistoryOptimizationLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.LifeHistoryOptimizationLaws.offspringNumberScaling", - "name": "offspringNumberScaling", - "module": "Semantics.Extensions.LifeHistoryOptimizationLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.LifeHistoryTradeoffLaws", - "name": "LifeHistoryTradeoffLaws", - "path": "Semantics/Extensions/LifeHistoryTradeoffLaws.lean", - "namespace": "Semantics.Biology.LifeHistory", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team LifeHistoryTradeoffLaws.lean \u2014 Laws of energy allocation, maturation, and semelparity. This module formalizes the laws of biological investment and life history strategies: 1. 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Authors: Research Stack Team LocomotionMuscleDynamics.lean \u2014 Laws of animal movement and muscle contraction. This module formalizes the physical laws of biological locomotion: 1. 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Authors: Research Stack Team MalthusianHayflickDynamics.lean \u2014 Laws of exponential growth and cellular division limits. This module formalizes the laws of population expansion and cellular aging: 1. 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Each operator has a mathematical type signature and convergence properties. 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Authors: Research Stack Team MarineMigrationDynamics.lean \u2014 Laws of diel migration, turbulent foraging, and patch residence. This module formalizes the laws of behavioral ecology in fluid environments: 1. Migration: Diel Vertical ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 59 - }, - { - "kind": "def", - "id": "Semantics.Extensions.MarineMigrationDynamics.migrationFitness", - "name": "migrationFitness", - "module": "Semantics.Extensions.MarineMigrationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MarineMigrationDynamics.verticalSwimmingSpeed", - "name": "verticalSwimmingSpeed", - "module": "Semantics.Extensions.MarineMigrationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MarineMigrationDynamics.turbulentEncounterRate", - "name": "turbulentEncounterRate", - "module": "Semantics.Extensions.MarineMigrationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MarineMigrationDynamics.isStayTimeOptimal", - "name": "isStayTimeOptimal", - "module": "Semantics.Extensions.MarineMigrationDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.MarinePlanktonDynamics", - "name": "MarinePlanktonDynamics", - "path": "Semantics/Extensions/MarinePlanktonDynamics.lean", - "namespace": "Semantics.Biology.Marine", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team MarinePlanktonDynamics.lean \u2014 Laws of phytoplankton blooms, sinking particles, and thermal rates. This module formalizes the laws of biological oceanography: 1. Blooms: Sverdrup's Critical Depth Hypoth", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 62 - }, - { - "kind": "def", - "id": "Semantics.Extensions.MarinePlanktonDynamics.sverdrupCondition", - "name": "sverdrupCondition", - "module": "Semantics.Extensions.MarinePlanktonDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MarinePlanktonDynamics.stokesSinkingVelocity", - "name": "stokesSinkingVelocity", - "module": "Semantics.Extensions.MarinePlanktonDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MarinePlanktonDynamics.q10RateRatio", - "name": "q10RateRatio", - "module": "Semantics.Extensions.MarinePlanktonDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.MasterEquation", - "name": "MasterEquation", - "path": "Semantics/Extensions/MasterEquation.lean", - "namespace": "MasterEquation", - "doc": "MasterEquation.lean \u2014 The Complete SSMS Recurrence =================================================== The master equation compressing the full 8-layer stack into a single 6-step recurrence: S_{t+1} = MLGRU(Gossip(Prune(Stabilize(Score_{\u03a3+NK}(Expand(S_t)))))) Each step maps the system state S_t \u2192", - 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}, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.ScalarNode", - "name": "ScalarNode", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.hyperbolaIndex", - "name": "hyperbolaIndex", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.mirrorIndex", - "name": "mirrorIndex", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.expandCriterion", - "name": "expandCriterion", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.stepExpand", - "name": "stepExpand", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.nkCouplingScore", - "name": "nkCouplingScore", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.sigmaScore", - "name": "sigmaScore", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.compositeScore", - "name": "compositeScore", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.stepScore", - "name": "stepScore", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.aciViolation", - "name": "aciViolation", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.liIntegrable", - "name": "liIntegrable", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.shuntNode", - "name": "shuntNode", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.stepStabilize", - "name": "stepStabilize", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.pruneCriterion", - "name": "pruneCriterion", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MasterEquation.stepPrune", - "name": "stepPrune", - "module": "Semantics.Extensions.MasterEquation" - }, - { - "kind": "module", - "id": "Semantics.Extensions.MicrobialBiomassDynamics", - "name": "MicrobialBiomassDynamics", - "path": "Semantics/Extensions/MicrobialBiomassDynamics.lean", - "namespace": "Semantics.Biology.Biomass", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team MicrobialBiomassDynamics.lean \u2014 Laws of microbial growth, maintenance, and biomass accumulation. This module formalizes the laws of sub-cellular and population-scale growth: 1. Growth: Monod substrate ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 63 - }, - { - "kind": "def", - "id": "Semantics.Extensions.MicrobialBiomassDynamics.monodGrowthRate", - "name": "monodGrowthRate", - "module": "Semantics.Extensions.MicrobialBiomassDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MicrobialBiomassDynamics.specificUptakeRate", - "name": "specificUptakeRate", - "module": "Semantics.Extensions.MicrobialBiomassDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MicrobialBiomassDynamics.logisticGrowthUpdate", - "name": "logisticGrowthUpdate", - "module": "Semantics.Extensions.MicrobialBiomassDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MicrobialBiomassDynamics.gompertzGrowthUpdate", - "name": "gompertzGrowthUpdate", - "module": "Semantics.Extensions.MicrobialBiomassDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.MolecularBindingThermodynamics", - "name": "MolecularBindingThermodynamics", - "path": "Semantics/Extensions/MolecularBindingThermodynamics.lean", - "namespace": "Semantics.Biology.Binding", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team MolecularBindingThermodynamics.lean \u2014 Laws of DNA-protein binding and Boltzmann weights. This module formalizes the thermodynamic laws of gene regulation: 1. Boltzmann: The statistical weight of a mole", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 62 - }, - { - "kind": "def", - "id": "Semantics.Extensions.MolecularBindingThermodynamics.boltzmannBindingWeight", - "name": "boltzmannBindingWeight", - "module": "Semantics.Extensions.MolecularBindingThermodynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MolecularBindingThermodynamics.bindingOccupancy", - "name": "bindingOccupancy", - "module": "Semantics.Extensions.MolecularBindingThermodynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MolecularBindingThermodynamics.bindingSpecificityRatio", - "name": "bindingSpecificityRatio", - "module": "Semantics.Extensions.MolecularBindingThermodynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MolecularBindingThermodynamics.totalBindingEnergy", - "name": "totalBindingEnergy", - "module": "Semantics.Extensions.MolecularBindingThermodynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.MolecularCooperation", - "name": "MolecularCooperation", - "path": "Semantics/Extensions/MolecularCooperation.lean", - "namespace": "Semantics.Biology.Molecular", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team MolecularCooperation.lean \u2014 Laws of molecular binding, allostery, and cooperativity. This module formalizes the thermodynamic and empirical laws of protein function: 1. Empirical: Hill's equation for c", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 64 - }, - { - "kind": "def", - "id": "Semantics.Extensions.MolecularCooperation.hillSaturation", - "name": "hillSaturation", - "module": "Semantics.Extensions.MolecularCooperation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MolecularCooperation.adairSaturation", - "name": "adairSaturation", - "module": "Semantics.Extensions.MolecularCooperation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MolecularCooperation.mwcSaturation", - "name": "mwcSaturation", - "module": "Semantics.Extensions.MolecularCooperation" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MolecularCooperation.knfSaturation", - "name": "knfSaturation", - "module": "Semantics.Extensions.MolecularCooperation" - }, - { - "kind": "module", - "id": "Semantics.Extensions.MorphoKineticLaws", - "name": "MorphoKineticLaws", - "path": "Semantics/Extensions/MorphoKineticLaws.lean", - "namespace": "Semantics.Biology.MorphoKinetic", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team MorphoKineticLaws.lean \u2014 Laws of spiral growth and chemical mass action. This module formalizes the laws of biological form and molecular interaction: 1. Growth: The logarithmic (equiangular) spiral mo", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 48 - }, - { - "kind": "def", - "id": "Semantics.Extensions.MorphoKineticLaws.shellRadius", - "name": "shellRadius", - "module": "Semantics.Extensions.MorphoKineticLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MorphoKineticLaws.reactionRate", - "name": "reactionRate", - "module": "Semantics.Extensions.MorphoKineticLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MorphoKineticLaws.chemicalEquilibriumConstant", - "name": "chemicalEquilibriumConstant", - "module": "Semantics.Extensions.MorphoKineticLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.MorphogeneticLaws", - "name": "MorphogeneticLaws", - "path": "Semantics/Extensions/MorphogeneticLaws.lean", - "namespace": "Semantics.Biology.Morphogenesis", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team MorphogeneticLaws.lean \u2014 Laws of positional information, gradients, and tissue topology. This module formalizes the laws of biological patterning and structural development: 1. Patterning: Wolpert's Fr", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 66 - }, - { - "kind": "def", - "id": "Semantics.Extensions.MorphogeneticLaws.frenchFlagFate", - "name": "frenchFlagFate", - "module": "Semantics.Extensions.MorphogeneticLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MorphogeneticLaws.morphogenGradient", - "name": "morphogenGradient", - "module": "Semantics.Extensions.MorphogeneticLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MorphogeneticLaws.lewisCellArea", - "name": "lewisCellArea", - "module": "Semantics.Extensions.MorphogeneticLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MorphogeneticLaws.aboavWeaireNeighbors", - "name": "aboavWeaireNeighbors", - "module": "Semantics.Extensions.MorphogeneticLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.MorphogeneticLaws.growthDilution", - "name": "growthDilution", - "module": "Semantics.Extensions.MorphogeneticLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.MorphologicalDynamics", - "name": "MorphologicalDynamics", - "path": "Semantics/Extensions/MorphologicalDynamics.lean", - "namespace": "Semantics.Biology.Morphology", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team MorphologicalDynamics.lean \u2014 Laws of biological form, branching, and topology. This module formalizes the geometric and topological laws of biological structures: 1. 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Authors: Research Stack Team NeuralFieldDynamics.lean \u2014 Laws of continuous neural population activity. This module formalizes the laws of large-scale cortical dynamics: 1. Mean-Field: Shun-ichi Amari's neural field equations. 2. 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Authors: Research Stack Team NeuralTrophicSwimmingDynamics.lean \u2014 Laws of synaptic plasticity, trophic transfer, and reactive swimming. 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Authors: Research Stack Team NeuroEmergentLaws.lean \u2014 Laws of neural learning, memory, and critical emergence. This module formalizes the laws of neural adaptation and collective organization: 1. Learning: Hebb's Law and Oja's Rul", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 65 - }, - { - "kind": "def", - "id": "Semantics.Extensions.NeuroEmergentLaws.hebbianDelta", - "name": "hebbianDelta", - "module": "Semantics.Extensions.NeuroEmergentLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.NeuroEmergentLaws.ojaDelta", - "name": "ojaDelta", - "module": "Semantics.Extensions.NeuroEmergentLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.NeuroEmergentLaws.hopfieldEnergy", - "name": "hopfieldEnergy", - "module": "Semantics.Extensions.NeuroEmergentLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.NeuroEmergentLaws.avalancheProbability", - "name": "avalancheProbability", - "module": "Semantics.Extensions.NeuroEmergentLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.NeuroInformationDynamics", - "name": "NeuroInformationDynamics", - "path": "Semantics/Extensions/NeuroInformationDynamics.lean", - "namespace": "Semantics.Biology.NeuroInfo", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team NeuroInformationDynamics.lean \u2014 Laws of information processing and perception scaling. This module formalizes the informational and psychophysical laws of neural systems: 1. Information Theory: The Inf", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 60 - }, - { - "kind": "def", - "id": "Semantics.Extensions.NeuroInformationDynamics.informationBottleneckLagrangian", - "name": "informationBottleneckLagrangian", - "module": "Semantics.Extensions.NeuroInformationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.NeuroInformationDynamics.predictionError", - "name": "predictionError", - "module": "Semantics.Extensions.NeuroInformationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.NeuroInformationDynamics.representationUpdate", - "name": "representationUpdate", - "module": "Semantics.Extensions.NeuroInformationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.NeuroInformationDynamics.perceivedSensationLog", - "name": "perceivedSensationLog", - "module": "Semantics.Extensions.NeuroInformationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.NeuroInformationDynamics.perceivedSensationPower", - "name": "perceivedSensationPower", - "module": "Semantics.Extensions.NeuroInformationDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.NicheAgingDynamics", - "name": "NicheAgingDynamics", - "path": "Semantics/Extensions/NicheAgingDynamics.lean", - "namespace": "Semantics.Biology.NicheAging", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team NicheAgingDynamics.lean \u2014 Laws of resource competition, aging correlations, and mortality plateaus. This module formalizes the laws of niche survival and the temporal limits of life: 1. 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Authors: Research Stack Team NicheIonDynamics.lean \u2014 Laws of environmental niches, ion transport, and species richness. This module formalizes the laws of ecological persistence and physical transport: 1. 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Authors: Research Stack Team NicheSpecializationDynamics.lean \u2014 Specialized laws of aging, oncology, and botany. This module formalizes specialized biological frontiers: 1. Gerontology: Gompertz-Makeham law of mortality. 2. Oncolo", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 2, - "inductive_count": 0, - "line_count": 87 - }, - { - "kind": "def", - "id": "Semantics.Extensions.NicheSpecializationDynamics.mortalityRate", - "name": "mortalityRate", - "module": "Semantics.Extensions.NicheSpecializationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.NicheSpecializationDynamics.gatenbyUpdate", - "name": "gatenbyUpdate", - "module": "Semantics.Extensions.NicheSpecializationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.NicheSpecializationDynamics.izhikevichStep", - "name": "izhikevichStep", - "module": "Semantics.Extensions.NicheSpecializationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.NicheSpecializationDynamics.kuramotoSynchrony", - "name": "kuramotoSynchrony", - "module": "Semantics.Extensions.NicheSpecializationDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.NicheSpecializationDynamics.vascularAreaMerge", - "name": "vascularAreaMerge", - "module": "Semantics.Extensions.NicheSpecializationDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.NutrientQuotaDynamics", - "name": "NutrientQuotaDynamics", - "path": "Semantics/Extensions/NutrientQuotaDynamics.lean", - "namespace": "Semantics.Biology.NutrientQuota", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team NutrientQuotaDynamics.lean \u2014 Laws of internal nutrient storage and cell composition. This module formalizes the laws governing nutrient-limited growth and storage: 1. Storage: Michael Droop's equation ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 53 - }, - { - "kind": "def", - "id": "Semantics.Extensions.NutrientQuotaDynamics.droopGrowthRate", - "name": "droopGrowthRate", - "module": "Semantics.Extensions.NutrientQuotaDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.NutrientQuotaDynamics.cellQuotaInvariant", - "name": "cellQuotaInvariant", - "module": "Semantics.Extensions.NutrientQuotaDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.NutrientQuotaDynamics.quotaUpdateStep", - "name": "quotaUpdateStep", - "module": "Semantics.Extensions.NutrientQuotaDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.OceanicBiomassScalingLaws", - "name": "OceanicBiomassScalingLaws", - "path": "Semantics/Extensions/OceanicBiomassScalingLaws.lean", - "namespace": "Semantics.Biology.Marine.Scaling", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team OceanicBiomassScalingLaws.lean \u2014 Laws of biomass distribution and productivity in the ocean. This module formalizes the macro-scale laws of marine life distribution: 1. Biomass: Sheldon's Spectrum (Con", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 52 - }, - { - "kind": "def", - "id": "Semantics.Extensions.OceanicBiomassScalingLaws.sheldonBiomassConstant", - "name": "sheldonBiomassConstant", - "module": "Semantics.Extensions.OceanicBiomassScalingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.OceanicBiomassScalingLaws.numericalAbundance", - "name": "numericalAbundance", - "module": "Semantics.Extensions.OceanicBiomassScalingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.OceanicBiomassScalingLaws.productionRateScale", - "name": "productionRateScale", - "module": "Semantics.Extensions.OceanicBiomassScalingLaws" - }, - { - "kind": "def", - "id": "Semantics.Extensions.OceanicBiomassScalingLaws.energyUseInvariant", - "name": "energyUseInvariant", - "module": "Semantics.Extensions.OceanicBiomassScalingLaws" - }, - { - "kind": "module", - "id": "Semantics.Extensions.PhotosynthesisHydraulicDynamics", - "name": "PhotosynthesisHydraulicDynamics", - "path": "Semantics/Extensions/PhotosynthesisHydraulicDynamics.lean", - "namespace": "Semantics.Biology.Photosynthesis", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team PhotosynthesisHydraulicDynamics.lean \u2014 Laws of carbon assimilation, stomatal control, and WUE. This module formalizes the laws of plant gas exchange and energetics: 1. 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Authors: Research Stack Team PhysiologicalInvariants.lean \u2014 Laws of cardiovascular flow, cardiac output, and scaling. This module formalizes the biophysical laws of animal physiology: 1. Cardiovascular: Poiseuille's flow and Starl", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 66 - }, - { - "kind": "def", - "id": "Semantics.Extensions.PhysiologicalInvariants.poiseuilleFlow", - "name": "poiseuilleFlow", - "module": "Semantics.Extensions.PhysiologicalInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.PhysiologicalInvariants.strokeVolume", - "name": "strokeVolume", - "module": "Semantics.Extensions.PhysiologicalInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.PhysiologicalInvariants.cardiacOutput", - "name": "cardiacOutput", - "module": "Semantics.Extensions.PhysiologicalInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.PhysiologicalInvariants.savRatio", - "name": "savRatio", - "module": "Semantics.Extensions.PhysiologicalInvariants" - }, - { - "kind": "def", - "id": "Semantics.Extensions.PhysiologicalInvariants.copeSizeGrowth", - "name": "copeSizeGrowth", - "module": "Semantics.Extensions.PhysiologicalInvariants" - }, - { - "kind": "module", - "id": "Semantics.Extensions.PlanetaryNeuroTopology", - "name": "PlanetaryNeuroTopology", - "path": "Semantics/Extensions/PlanetaryNeuroTopology.lean", - "namespace": "Semantics.Biology.Topology", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team PlanetaryNeuroTopology.lean \u2014 Multi-scale topological regulation of life. This module formalizes the laws of biological homeostasis and structural complexity, from the planetary Daisyworld feedback to ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 1, - "inductive_count": 0, - "line_count": 76 - }, - { - "kind": "def", - "id": "Semantics.Extensions.PlanetaryNeuroTopology.daisyGrowthRate", - "name": "daisyGrowthRate", - "module": "Semantics.Extensions.PlanetaryNeuroTopology" - }, - { - "kind": "def", - "id": "Semantics.Extensions.PlanetaryNeuroTopology.daisyPopulationStep", - "name": "daisyPopulationStep", - "module": "Semantics.Extensions.PlanetaryNeuroTopology" - }, - { - "kind": "def", - "id": "Semantics.Extensions.PlanetaryNeuroTopology.metabolicRate", - "name": "metabolicRate", - "module": "Semantics.Extensions.PlanetaryNeuroTopology" - }, - { - "kind": "def", - "id": "Semantics.Extensions.PlanetaryNeuroTopology.lifespanScaling", - "name": "lifespanScaling", - "module": "Semantics.Extensions.PlanetaryNeuroTopology" - }, - { - "kind": "def", - "id": "Semantics.Extensions.PlanetaryNeuroTopology.neuralCavityStability", - "name": "neuralCavityStability", - "module": "Semantics.Extensions.PlanetaryNeuroTopology" - }, - { - "kind": "def", - "id": "Semantics.Extensions.PlanetaryNeuroTopology.reproductiveEffort", - "name": "reproductiveEffort", - "module": "Semantics.Extensions.PlanetaryNeuroTopology" - }, - { - "kind": "module", - "id": "Semantics.Extensions.PlantHydraulicDynamics", - "name": "PlantHydraulicDynamics", - "path": "Semantics/Extensions/PlantHydraulicDynamics.lean", - "namespace": "Semantics.Biology.PlantHydraulics", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team PlantHydraulicDynamics.lean \u2014 Laws of stem architecture, leaf support, and xylem cavitation. This module formalizes the laws of botanical structural and hydraulic function: 1. Architecture: Corner's ru", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 52 - }, - { - "kind": "def", - "id": "Semantics.Extensions.PlantHydraulicDynamics.stemLeafCoordination", - "name": "stemLeafCoordination", - "module": "Semantics.Extensions.PlantHydraulicDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.PlantHydraulicDynamics.pipeAreaProportionality", - "name": "pipeAreaProportionality", - "module": "Semantics.Extensions.PlantHydraulicDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.PlantHydraulicDynamics.percentageConductivityLoss", - "name": "percentageConductivityLoss", - "module": "Semantics.Extensions.PlantHydraulicDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.PlantPhyllotaxisLaws", - "name": "PlantPhyllotaxisLaws", - "path": "Semantics/Extensions/PlantPhyllotaxisLaws.lean", - "namespace": "Semantics.Biology.Phyllotaxis", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team PlantPhyllotaxisLaws.lean \u2014 Laws of botanical spiral patterns and optimal packing. This module formalizes the laws of plant organ arrangement: 1. 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Authors: Research Stack Team PopulationChaosDynamics.lean \u2014 Laws of discrete chaos, stability, and lifespan limits. This module formalizes the laws of population behavior and longevity: 1. 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Authors: Research Stack Team QuantumSyntheticBio.lean \u2014 Quantum biological laws and synthetic genetic logic. This module formalizes the extreme scales of biological information: 1. 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Authors: Research Stack Team ReliabilityStochasticDynamics.lean \u2014 Laws of aging redundancy and stochastic simulation. This module formalizes the laws of system reliability and molecular noise: 1. 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Authors: Research Stack Team ResilienceTippingDynamics.lean \u2014 Laws of critical slowing down and ecological tipping points. This module formalizes the laws of biological resilience and phase transitions: 1. 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Authors: Research Stack Team RhythmicStructuralDynamics.lean \u2014 Laws of limit cycles, phase singularities, and self-assembly. This module formalizes the topological and thermodynamic laws of biological time and form: 1. Rhythms: Po", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 60 - }, - { - "kind": "def", - "id": "Semantics.Extensions.RhythmicStructuralDynamics.isLimitCycleCaptured", - "name": "isLimitCycleCaptured", - "module": "Semantics.Extensions.RhythmicStructuralDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.RhythmicStructuralDynamics.oscillatorAmplitude", - "name": "oscillatorAmplitude", - "module": "Semantics.Extensions.RhythmicStructuralDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.RhythmicStructuralDynamics.selfAssemblyGibbs", - "name": "selfAssemblyGibbs", - "module": "Semantics.Extensions.RhythmicStructuralDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.RhythmicStructuralDynamics.isAssembled", - "name": "isAssembled", - "module": "Semantics.Extensions.RhythmicStructuralDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.RhythmicStructuralDynamics.tileAssemblyStrength", - "name": "tileAssemblyStrength", - "module": "Semantics.Extensions.RhythmicStructuralDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.RootNutrientDynamics", - "name": "RootNutrientDynamics", - "path": "Semantics/Extensions/RootNutrientDynamics.lean", - "namespace": "Semantics.Biology.Roots", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team RootNutrientDynamics.lean \u2014 Laws of root uptake, nutrient depletion, and fractal branching. This module formalizes the laws of plant-soil interactions: 1. 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Authors: Research Stack Team SleepChronobiologyDynamics.lean \u2014 Laws of sleep regulation and circadian entrainment. This module formalizes the laws of biological timekeeping and sleep homeostasis: 1. Homeostasis: Borb\u00e9ly's Process ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 57 - }, - { - "kind": "def", - "id": "Semantics.Extensions.SleepChronobiologyDynamics.sleepPressureStep", - "name": "sleepPressureStep", - "module": "Semantics.Extensions.SleepChronobiologyDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SleepChronobiologyDynamics.isSleepOnsetReached", - "name": "isSleepOnsetReached", - "module": "Semantics.Extensions.SleepChronobiologyDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SleepChronobiologyDynamics.freeRunningPeriod", - "name": "freeRunningPeriod", - "module": "Semantics.Extensions.SleepChronobiologyDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.SocialCognitiveDynamics", - "name": "SocialCognitiveDynamics", - "path": "Semantics/Extensions/SocialCognitiveDynamics.lean", - "namespace": "Semantics.Biology.SocialCognition", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team SocialCognitiveDynamics.lean \u2014 Laws of social brain scaling and information capacity. This module formalizes the informational laws of social groups and cognitive limits: 1. Social: Dunbar's Number and", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 62 - }, - { - "kind": "def", - "id": "Semantics.Extensions.SocialCognitiveDynamics.dunbarGroupSize", - "name": "dunbarGroupSize", - "module": "Semantics.Extensions.SocialCognitiveDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SocialCognitiveDynamics.socialMaintenanceTime", - "name": "socialMaintenanceTime", - "module": "Semantics.Extensions.SocialCognitiveDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SocialCognitiveDynamics.bilateralRelationshipCount", - "name": "bilateralRelationshipCount", - "module": "Semantics.Extensions.SocialCognitiveDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SocialCognitiveDynamics.isSociallyStable", - "name": "isSociallyStable", - "module": "Semantics.Extensions.SocialCognitiveDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SocialCognitiveDynamics.brainScalingLog", - "name": "brainScalingLog", - "module": "Semantics.Extensions.SocialCognitiveDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.SocialMotionVisionDynamics", - "name": "SocialMotionVisionDynamics", - "path": "Semantics/Extensions/SocialMotionVisionDynamics.lean", - "namespace": "Semantics.Biology.SocialVision", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team SocialMotionVisionDynamics.lean \u2014 Laws of motion detection and collective pheromone optimization. This module formalizes the laws of biological vision and group intelligence: 1. Motion: The Hassenstein", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 52 - }, - { - "kind": "def", - "id": "Semantics.Extensions.SocialMotionVisionDynamics.reichardtMotionSignal", - "name": "reichardtMotionSignal", - "module": "Semantics.Extensions.SocialMotionVisionDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SocialMotionVisionDynamics.acoTransitionProb", - "name": "acoTransitionProb", - "module": "Semantics.Extensions.SocialMotionVisionDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SocialMotionVisionDynamics.pheromoneUpdate", - "name": "pheromoneUpdate", - "module": "Semantics.Extensions.SocialMotionVisionDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.SoftTissuePressureDynamics", - "name": "SoftTissuePressureDynamics", - "path": "Semantics/Extensions/SoftTissuePressureDynamics.lean", - "namespace": "Semantics.Biology.Pressure", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team SoftTissuePressureDynamics.lean \u2014 Laws of exponential elasticity and hollow-organ pressure. This module formalizes the laws of biomechanics and organ stability: 1. Elasticity: Fung's law for exponentia", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 57 - }, - { - "kind": "def", - "id": "Semantics.Extensions.SoftTissuePressureDynamics.fungSoftTissueStress", - "name": "fungSoftTissueStress", - "module": "Semantics.Extensions.SoftTissuePressureDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SoftTissuePressureDynamics.alveolarDistendingPressure", - "name": "alveolarDistendingPressure", - "module": "Semantics.Extensions.SoftTissuePressureDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SoftTissuePressureDynamics.ventricularWallStress", - "name": "ventricularWallStress", - "module": "Semantics.Extensions.SoftTissuePressureDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.SoilFungalDynamics", - "name": "SoilFungalDynamics", - "path": "Semantics/Extensions/SoilFungalDynamics.lean", - "namespace": "Semantics.Biology.Subterranean", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team SoilFungalDynamics.lean \u2014 Laws of soil chemistry, hyphal growth, and global growth constraints. This module formalizes the laws of subterranean biology and nutrient exchange: 1. Chemistry: Albrecht's B", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 56 - }, - { - "kind": "def", - "id": "Semantics.Extensions.SoilFungalDynamics.baseSaturationPct", - "name": "baseSaturationPct", - "module": "Semantics.Extensions.SoilFungalDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SoilFungalDynamics.hyphalTipUpdate", - "name": "hyphalTipUpdate", - "module": "Semantics.Extensions.SoilFungalDynamics" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SoilFungalDynamics.terracedBarrelGrowth", - "name": "terracedBarrelGrowth", - "module": "Semantics.Extensions.SoilFungalDynamics" - }, - { - "kind": "module", - "id": "Semantics.Extensions.SolitonEngine", - "name": "SolitonEngine", - "path": "Semantics/Extensions/SolitonEngine.lean", - "namespace": "SolitonEngine", - "doc": "SolitonEngine.lean \u2014 Lugiato-Lefever Soliton Substrate for Manifold-Blit ========================================================================= Physical implementation via dissipative Kerr solitons in optical microresonators. The Warden modulates phase \u03c6(t) to maintain solitons at the codimensio", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 6, - "def_count": 16, - "struct_count": 3, - "inductive_count": 1, - "line_count": 468 - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.SolitonEngine.codim2_stability", - "name": "codim2_stability", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.SolitonEngine.soliton_is_vortex", - "name": "soliton_is_vortex", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.SolitonEngine.error_decreases_with_amplitude", - "name": "error_decreases_with_amplitude", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.SolitonEngine.lle_manley_rowe_conservation", - "name": "lle_manley_rowe_conservation", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.SolitonEngine.soliton_energy_linear_in_amplitude", - "name": "soliton_energy_linear_in_amplitude", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "theorem", - "id": "Semantics.Extensions.SolitonEngine.cat_qubit_more_protected", - "name": "cat_qubit_more_protected", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.defaultParams", - "name": "defaultParams", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.solitonAnsatz", - "name": "solitonAnsatz", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.solitonEnergy", - "name": "solitonEnergy", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.bifurcationParameter", - "name": "bifurcationParameter", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.CODIM2_CRITICAL", - "name": "CODIM2_CRITICAL", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.atCodim2Bifurcation", - "name": "atCodim2Bifurcation", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.wardenPhaseUpdate", - "name": "wardenPhaseUpdate", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.solitonCoherence", - "name": "solitonCoherence", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.countPhaseSingularities", - "name": "countPhaseSingularities", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.bitFlipErrorRate", - "name": "bitFlipErrorRate", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.criticalAmplitude", - "name": "criticalAmplitude", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.criticalBitFlipRate", - "name": "criticalBitFlipRate", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.catQubitFromSolitonCount", - "name": "catQubitFromSolitonCount", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.catBitFlipRate", - "name": "catBitFlipRate", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.solitonToTernary", - "name": "solitonToTernary", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "def", - "id": "Semantics.Extensions.SolitonEngine.solitonSigma", - "name": "solitonSigma", - "module": "Semantics.Extensions.SolitonEngine" - }, - { - "kind": "module", - "id": "Semantics.Extensions.StoichiometricMetabolicDynamics", - "name": "StoichiometricMetabolicDynamics", - "path": "Semantics/Extensions/StoichiometricMetabolicDynamics.lean", - "namespace": "Semantics.Biology.StoicMetab", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team StoichiometricMetabolicDynamics.lean \u2014 Laws of nutrient homeostasis and population metabolic scaling. This module formalizes the laws of chemical regulation and ecosystem energy: 1. 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Authors: Research Stack Team SystemicBioDynamics.lean \u2014 Laws of immunology, chronobiology, and biomechanics. This module formalizes the systemic-scale laws of biological organisms: 1. 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The coboundary \u03b4 of this cochain measures the memory pressure gradient across the cell topology. Where \u03b4 is large \u2192 thermal hotspot. 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Authors: Research Stack Team Burgers.lean \u2014 Regularized Burgers PDE Formalism This module formalizes the regularized Burgers equation primitives used in the FNWH (Field-Native Witness Hierarchy). It implements the complexity-drive", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 8, - "struct_count": 0, - "inductive_count": 0, - "line_count": 220 - }, - { - "kind": "theorem", - "id": "Semantics.FNWH.Burgers.witnessComplexity_nonneg", - "name": "witnessComplexity_nonneg", - "module": "Semantics.FNWH.Burgers" - }, - { - "kind": "theorem", - "id": "Semantics.FNWH.Burgers.complexityOmega_nonneg", - "name": "complexityOmega_nonneg", - "module": "Semantics.FNWH.Burgers" - }, - { - "kind": "theorem", - "id": "Semantics.FNWH.Burgers.nu_eff_ge_nu0", - "name": "nu_eff_ge_nu0", - "module": "Semantics.FNWH.Burgers" - }, - { - "kind": "def", - "id": "Semantics.FNWH.Burgers.kappa", - "name": "kappa", - "module": "Semantics.FNWH.Burgers" - }, - { - "kind": "def", - "id": "Semantics.FNWH.Burgers.defaultNu0", - "name": "defaultNu0", - "module": "Semantics.FNWH.Burgers" - }, - { - "kind": "def", - "id": "Semantics.FNWH.Burgers.witnessComplexityContribution", - "name": "witnessComplexityContribution", - "module": "Semantics.FNWH.Burgers" - }, - { - "kind": "def", - "id": "Semantics.FNWH.Burgers.complexityOmega", - "name": "complexityOmega", - "module": "Semantics.FNWH.Burgers" - }, - { - "kind": "def", - "id": "Semantics.FNWH.Burgers.effectiveViscosity", - "name": "effectiveViscosity", - "module": "Semantics.FNWH.Burgers" - }, - { - "kind": "def", - "id": "Semantics.FNWH.Burgers.regularizedPressure", - "name": "regularizedPressure", - "module": "Semantics.FNWH.Burgers" - }, - { - "kind": "def", - "id": "Semantics.FNWH.Burgers.stiffeningMultiplier", - "name": "stiffeningMultiplier", - "module": "Semantics.FNWH.Burgers" - }, - { - "kind": "def", - "id": "Semantics.FNWH.Burgers.toyGrammar", - "name": "toyGrammar", - "module": "Semantics.FNWH.Burgers" - }, - { - "kind": "module", - "id": "Semantics.FNWH.BurgersAVM", - "name": "BurgersAVM", - "path": "Semantics/FNWH/BurgersAVM.lean", - "namespace": "Semantics.FNWH.BurgersAVM", - "doc": "AVM Implementation of Burgers Regularization. Expresses the complexity-driven viscosity as a series of VM instructions. 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STATUS: INTERNAL_COHERENCE_LOCKED WARNING: This module is dimensionless. 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Authors: Research Stack Team FaultTolerance.lean \u2014 Fault Tolerance for Tile Flip Consensus Defines fault tolerance mechanisms for the Gossip-DAG-QR-Go protocol (MATH_MODEL_MAP 0.4.10). 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Authors: Research Stack Team FieldDamping.lean \u2014 Field Damping for Resonant Field Propagation Defines field damping mechanisms for Resonant Field Propagation (RFP). Damping prevents runaway oscillation and ensures stability. 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}, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.PentagonalSquare", - "name": "PentagonalSquare", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.MorphicCore", - "name": "MorphicCore", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.morphicCoreInvariant", - "name": "morphicCoreInvariant", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.mmrHash", - "name": "mmrHash", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.createMMRNode", - "name": "createMMRNode", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.MMRMountain", - "name": "MMRMountain", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.SelfFeedingMMR", - "name": "SelfFeedingMMR", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.NearMissPoint", - "name": "NearMissPoint", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.averageError", - "name": "averageError", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.TensionFunction", - "name": "TensionFunction", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.collapseValue", - "name": "collapseValue", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.getNthDefault", - "name": "getNthDefault", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.WebSystem", - "name": "WebSystem", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.IntegratedFieldCell", - "name": "IntegratedFieldCell", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "def", - "id": "Semantics.FieldEquationIntegration.autoMappingRegistry", - "name": "autoMappingRegistry", - "module": "Semantics.FieldEquationIntegration" - }, - { - "kind": "module", - "id": "Semantics.FieldSolver", - "name": "FieldSolver", - "path": "Semantics/FieldSolver.lean", - "namespace": "Semantics.FieldSolver", - "doc": "FieldSolver.lean - Torsion Field Compression Solver Compliant with AGENTS.md Q16_16 bounds and minimal bind topology.", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 1, - "inductive_count": 0, - "line_count": 55 - }, - { - "kind": "def", - "id": "Semantics.FieldSolver.computeLaplacian", - "name": "computeLaplacian", - "module": "Semantics.FieldSolver" - }, - { - "kind": "def", - "id": "Semantics.FieldSolver.engramQuery", - "name": "engramQuery", - "module": "Semantics.FieldSolver" - }, - { - "kind": "def", - "id": "Semantics.FieldSolver.stabilityPenalty", - "name": "stabilityPenalty", - "module": "Semantics.FieldSolver" - }, - { - "kind": "def", - "id": "Semantics.FieldSolver.fieldInvariant", - "name": "fieldInvariant", - "module": "Semantics.FieldSolver" - }, - { - "kind": "def", - "id": "Semantics.FieldSolver.informationalCost", - "name": "informationalCost", - "module": "Semantics.FieldSolver" - }, - { - "kind": "def", - "id": "Semantics.FieldSolver.informationalBindEval", - "name": "informationalBindEval", - "module": "Semantics.FieldSolver" - }, - { - "kind": "module", - "id": "Semantics.FiveDTorusTopology", - "name": "FiveDTorusTopology", - "path": "Semantics/FiveDTorusTopology.lean", - "namespace": "Semantics.FiveDTorusTopology", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 12, - "struct_count": 4, - "inductive_count": 0, - "line_count": 227 - }, - { - "kind": "theorem", - "id": "Semantics.FiveDTorusTopology.torusDistanceSymmetricTest", - "name": "torusDistanceSymmetricTest", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "theorem", - "id": "Semantics.FiveDTorusTopology.torusDiameterFormulaTest", - "name": "torusDiameterFormulaTest", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "theorem", - "id": "Semantics.FiveDTorusTopology.torusNodeDegreeConstant", - "name": "torusNodeDegreeConstant", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "def", - "id": "Semantics.FiveDTorusTopology.torusDistance", - "name": "torusDistance", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "def", - "id": "Semantics.FiveDTorusTopology.torusDiameter", - "name": "torusDiameter", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "def", - "id": "Semantics.FiveDTorusTopology.bisectionBandwidth", - "name": "bisectionBandwidth", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "def", - "id": "Semantics.FiveDTorusTopology.totalConnectivity", - "name": "totalConnectivity", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "def", - "id": "Semantics.FiveDTorusTopology.getNeighbors", - "name": "getNeighbors", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "def", - "id": "Semantics.FiveDTorusTopology.nodeDegree", - "name": "nodeDegree", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "def", - "id": "Semantics.FiveDTorusTopology.isTorusActionLawful", - "name": "isTorusActionLawful", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "def", - "id": "Semantics.FiveDTorusTopology.applyTorusAction", - "name": "applyTorusAction", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "def", - "id": "Semantics.FiveDTorusTopology.torusBind", - "name": "torusBind", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "def", - "id": "Semantics.FiveDTorusTopology.node1", - "name": "node1", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "def", - "id": "Semantics.FiveDTorusTopology.node2", - "name": "node2", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "def", - "id": "Semantics.FiveDTorusTopology.state", - "name": "state", - "module": "Semantics.FiveDTorusTopology" - }, - { - "kind": "module", - "id": "Semantics.FixedPoint", - "name": "FixedPoint", - "path": "Semantics/FixedPoint.lean", - "namespace": "Semantics.FixedPoint", - "doc": "A proof-friendly fixed-point core. Design rule: * The semantic value is a bounded signed raw integer. * Saturation is performed by `ofRawInt`. * UInt bit-patterns are boundary/hardware artifacts, not the proof model. This removes the old proof debt caused by proving signed arithmetic facts directl", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 62, - "def_count": 99, - "struct_count": 0, - "inductive_count": 0, - "line_count": 1309 - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.ext", - "name": "ext", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.q16Clamp_monotone", - "name": "q16Clamp_monotone", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.q16Clamp_id_of_inRange", - "name": "q16Clamp_id_of_inRange", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.q16Clamp_lower", - "name": "q16Clamp_lower", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.q16Clamp_upper", - "name": "q16Clamp_upper", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.q16Clamp_nonneg_of_nonneg", - "name": "q16Clamp_nonneg_of_nonneg", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.q16Clamp_idem", - "name": "q16Clamp_idem", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.q16Clamp_lipschitz", - "name": "q16Clamp_lipschitz", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.epsilon_toInt_pos", - "name": "epsilon_toInt_pos", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.maxVal_toInt", - "name": "maxVal_toInt", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.minVal_toInt", - "name": "minVal_toInt", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.ofRawInt_zero", - "name": "ofRawInt_zero", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.ofRawInt_toInt_ge", - "name": "ofRawInt_toInt_ge", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.ofRawInt_toInt_nonneg", - "name": "ofRawInt_toInt_nonneg", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.ofRawInt_toInt", - "name": "ofRawInt_toInt", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.ofRawInt_toInt_eq_nonneg", - "name": "ofRawInt_toInt_eq_nonneg", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.ofRawInt_toInt_eq_general", - "name": "ofRawInt_toInt_eq_general", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.ofRawInt_toInt_eq_clamp", - "name": "ofRawInt_toInt_eq_clamp", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.ofRawInt_monotone", - "name": "ofRawInt_monotone", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.add_nonneg_monotone", - "name": "add_nonneg_monotone", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.zero_mul", - "name": "zero_mul", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.mul_zero", - "name": "mul_zero", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.sub_self", - "name": "sub_self", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.add_zero", - "name": "add_zero", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.zero_add", - "name": "zero_add", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.sqrt_zero", - "name": "sqrt_zero", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.sqrt_one", - "name": "sqrt_one", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.int_scale_mul_ediv_cancel", - "name": "int_scale_mul_ediv_cancel", - "module": "Semantics.FixedPoint" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPoint.one_mul", - "name": "one_mul", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.q0_16MinRaw", - "name": "q0_16MinRaw", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.q0_16MaxRaw", - "name": "q0_16MaxRaw", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.q0_16Scale", - "name": "q0_16Scale", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.toInt", - "name": "toInt", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.ofRawInt", - "name": "ofRawInt", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.zero", - "name": "zero", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.one", - "name": "one", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.half", - "name": "half", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.neg", - "name": "neg", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.add", - "name": "add", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.sub", - "name": "sub", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.mul", - "name": "mul", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.div", - "name": "div", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.abs", - "name": "abs", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.lt", - "name": "lt", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.le", - "name": "le", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.gt", - "name": "gt", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.ge", - "name": "ge", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.toFloat", - "name": "toFloat", - "module": "Semantics.FixedPoint" - }, - { - "kind": "def", - "id": "Semantics.FixedPoint.ofFloat", - "name": "ofFloat", - "module": "Semantics.FixedPoint" - }, - { - "kind": "module", - "id": "Semantics.FixedPointBoundary", - "name": "FixedPointBoundary", - "path": "Semantics/FixedPointBoundary.lean", - "namespace": "Semantics.FixedPoint", - "doc": "# FixedPointBoundary \u2014 Float \u2194 Q16_16 / Q0_16 / Q0_64 conversion These functions are **only** for the I/O boundary: parsing JSON, reading sensor data, or displaying values in `#eval` witnesses. They must NOT be used in any compute-path definition that feeds into a receipt, score, or gate. The core", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 7, - "struct_count": 0, - "inductive_count": 0, - "line_count": 89 - }, - { - "kind": "def", - "id": "Semantics.FixedPointBoundary.toFloat", - "name": "toFloat", - "module": "Semantics.FixedPointBoundary" - }, - { - "kind": "def", - "id": "Semantics.FixedPointBoundary.ofFloat", - "name": "ofFloat", - "module": "Semantics.FixedPointBoundary" - }, - { - "kind": "def", - "id": "Semantics.FixedPointBoundary.q0_64ScaleFloat", - "name": "q0_64ScaleFloat", - "module": "Semantics.FixedPointBoundary" - }, - { - "kind": "module", - "id": "Semantics.FixedPointBridge", - "name": "FixedPointBridge", - "path": "Semantics/FixedPointBridge.lean", - "namespace": "Semantics.FixedPointBridge", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team FixedPointBridge.lean \u2014 Bridge between Q0_16 and Q16_16 for unified fixed-point arithmetic NOTE: The conversion functions (q0ToQ16, q16ToQ0) use pure integer arithmetic mapping Q0_16 (scale 32767) to/f", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 75 - }, - { - "kind": "theorem", - "id": "Semantics.FixedPointBridge.roundTripQ0_zero", - "name": "roundTripQ0_zero", - "module": "Semantics.FixedPointBridge" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPointBridge.roundTripQ16_zero", - "name": "roundTripQ16_zero", - "module": "Semantics.FixedPointBridge" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPointBridge.q0ToQ16_zero", - "name": "q0ToQ16_zero", - "module": "Semantics.FixedPointBridge" - }, - { - "kind": "theorem", - "id": "Semantics.FixedPointBridge.q16ToQ0_zero", - "name": "q16ToQ0_zero", - "module": "Semantics.FixedPointBridge" - }, - { - "kind": "def", - "id": "Semantics.FixedPointBridge.q0ToQ16", - "name": "q0ToQ16", - "module": "Semantics.FixedPointBridge" - }, - { - "kind": "def", - "id": "Semantics.FixedPointBridge.q16ToQ0", - "name": "q16ToQ0", - "module": "Semantics.FixedPointBridge" - }, - { - "kind": "def", - "id": "Semantics.FixedPointBridge.fixedPointBridgeStatus", - "name": "fixedPointBridgeStatus", - "module": "Semantics.FixedPointBridge" - }, - { - "kind": "module", - "id": "Semantics.FlagSort", - "name": "FlagSort", - "path": "Semantics/FlagSort.lean", - "namespace": "Semantics.FlagSort", - "doc": "Flag: The three-way partition of the research manifold.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 1, - "line_count": 53 - }, - { - "kind": "def", - "id": "Semantics.FlagSort.redThreshold", - "name": "redThreshold", - "module": "Semantics.FlagSort" - }, - { - "kind": "def", - "id": "Semantics.FlagSort.blueThreshold", - "name": "blueThreshold", - "module": "Semantics.FlagSort" - }, - { - "kind": "def", - "id": "Semantics.FlagSort.getFlag", - "name": "getFlag", - "module": "Semantics.FlagSort" - }, - { - "kind": "def", - "id": "Semantics.FlagSort.isLawfulSort", - "name": "isLawfulSort", - "module": "Semantics.FlagSort" - }, - { - "kind": "def", - "id": "Semantics.FlagSort.flagBind", - "name": "flagBind", - "module": "Semantics.FlagSort" - }, - { - "kind": "module", - "id": "Semantics.ForceModifiedArrhenius", - "name": "ForceModifiedArrhenius", - "path": "Semantics/ForceModifiedArrhenius.lean", - "namespace": "Semantics.ForceModifiedArrhenius", - "doc": "ForceModifiedArrhenius.lean \u2014 Activation Barriers Across Physics Scales This module formalizes how activation barriers appear at every scale of physics: \u2022 Chemical reactions (Arrhenius) \u2022 Mechanochemistry (Bell-Evans-Polanyi) \u2022 Nuclear decay (Gamow factor) \u2022 Particle production (Boltzmann factor) \u2022", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 13, - "struct_count": 2, - "inductive_count": 0, - "line_count": 180 - }, - { - "kind": "def", - "id": "Semantics.ForceModifiedArrhenius.computeRate", - "name": "computeRate", - "module": "Semantics.ForceModifiedArrhenius" - }, - { - "kind": "def", - "id": "Semantics.ForceModifiedArrhenius.chemicalBarrier", - "name": "chemicalBarrier", - "module": "Semantics.ForceModifiedArrhenius" - }, - { - "kind": "def", - "id": "Semantics.ForceModifiedArrhenius.gamowFactor", - "name": "gamowFactor", - "module": "Semantics.ForceModifiedArrhenius" - }, - { - "kind": "def", - "id": "Semantics.ForceModifiedArrhenius.nuclearBarrier", - "name": "nuclearBarrier", - "module": "Semantics.ForceModifiedArrhenius" - }, - { - "kind": "def", - "id": "Semantics.ForceModifiedArrhenius.boltzmannFactor", - "name": "boltzmannFactor", - "module": "Semantics.ForceModifiedArrhenius" - }, - { - "kind": "def", - "id": "Semantics.ForceModifiedArrhenius.particleBarrier", - "name": "particleBarrier", - "module": "Semantics.ForceModifiedArrhenius" - }, - { - "kind": "def", - "id": "Semantics.ForceModifiedArrhenius.instantonAction", - "name": "instantonAction", - "module": "Semantics.ForceModifiedArrhenius" - }, - { - "kind": "def", - "id": "Semantics.ForceModifiedArrhenius.cosmicBarrier", - "name": "cosmicBarrier", - "module": "Semantics.ForceModifiedArrhenius" - }, - { - "kind": "def", - "id": "Semantics.ForceModifiedArrhenius.forceModifiedBarrier", - "name": "forceModifiedBarrier", - "module": "Semantics.ForceModifiedArrhenius" - }, - { - "kind": "def", - "id": "Semantics.ForceModifiedArrhenius.computeDrift", - "name": "computeDrift", - "module": "Semantics.ForceModifiedArrhenius" - }, - { - "kind": "def", - "id": "Semantics.ForceModifiedArrhenius.testChem", - "name": "testChem", - "module": "Semantics.ForceModifiedArrhenius" - }, - { - "kind": "def", - "id": "Semantics.ForceModifiedArrhenius.testNuc", - "name": "testNuc", - "module": "Semantics.ForceModifiedArrhenius" - }, - { - "kind": "def", - "id": "Semantics.ForceModifiedArrhenius.testDrift", - "name": "testDrift", - "module": "Semantics.ForceModifiedArrhenius" - }, - { - "kind": "module", - "id": "Semantics.ForestAutodocRegistry", - "name": "ForestAutodocRegistry", - "path": "Semantics/ForestAutodocRegistry.lean", - "namespace": "HolyDiver", - "doc": "Holy Diver / ENE Forest Autodoc Registry Third layer of the integrated architecture: RealityContractMassNumber.lean (base ontology) FieldEquationIntegration.lean (field equation machinery) ForestAutodocRegistry.lean (forest registry with autodoc) This module combines the base ontology with field e", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 9, - "struct_count": 2, - "inductive_count": 0, - "line_count": 202 - }, - { - "kind": "def", - "id": "Semantics.ForestAutodocRegistry.sameMorphicCore", - "name": "sameMorphicCore", - "module": "Semantics.ForestAutodocRegistry" - }, - { - "kind": "def", - "id": "Semantics.ForestAutodocRegistry.similarMorphicCore", - "name": "similarMorphicCore", - "module": "Semantics.ForestAutodocRegistry" - }, - { - "kind": "def", - "id": "Semantics.ForestAutodocRegistry.ForestRegistry", - "name": "ForestRegistry", - "module": "Semantics.ForestAutodocRegistry" - }, - { - "kind": "def", - "id": "Semantics.ForestAutodocRegistry.applyCollapse", - "name": "applyCollapse", - "module": "Semantics.ForestAutodocRegistry" - }, - { - "kind": "def", - "id": "Semantics.ForestAutodocRegistry.autodocPressureIntegrated", - "name": "autodocPressureIntegrated", - "module": "Semantics.ForestAutodocRegistry" - }, - { - "kind": "def", - "id": "Semantics.ForestAutodocRegistry.lookupIntegratedConcept", - "name": "lookupIntegratedConcept", - "module": "Semantics.ForestAutodocRegistry" - }, - { - "kind": "module", - "id": "Semantics.Forgejo", - "name": "Forgejo", - "path": "Semantics/Forgejo.lean", - "namespace": "Semantics.Forgejo", - "doc": "ForgejoEvent: The structure of a Git event in the research stack.", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 1, - "inductive_count": 0, - "line_count": 56 - }, - { - "kind": "def", - "id": "Semantics.Forgejo.forgejoPolicy", - "name": "forgejoPolicy", - "module": "Semantics.Forgejo" - }, - { - "kind": "def", - "id": "Semantics.Forgejo.toSourceEvent", - "name": "toSourceEvent", - "module": "Semantics.Forgejo" - }, - { - "kind": "def", - "id": "Semantics.Forgejo.forgejoInvariant", - "name": "forgejoInvariant", - "module": "Semantics.Forgejo" - }, - { - "kind": "def", - "id": "Semantics.Forgejo.forgejoCost", - "name": "forgejoCost", - "module": "Semantics.Forgejo" - }, - { - "kind": "def", - "id": "Semantics.Forgejo.forgejoBind", - "name": "forgejoBind", - "module": "Semantics.Forgejo" - }, - { - "kind": "module", - "id": "Semantics.FormalConjectures.Util.ProblemImports", - "name": "ProblemImports", - "path": "Semantics/FormalConjectures/Util/ProblemImports.lean", - "namespace": "", - "doc": "# Stub for FormalConjectures.Util.ProblemImports Provides the definitions from Google DeepMind's `formal-conjectures` package that are needed by the AlphaProof Nexus proof files. The key definition is `IsSidon` for `Set \u2115`, which is bridged to `Semantics.SidonSets.IsSidon` for `Finset \u2124`.", - "math_kind": "number_theory", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 1, - "struct_count": 0, - "inductive_count": 0, - "line_count": 33 - }, - { - "kind": "theorem", - "id": "Semantics.FormalConjectures.Util.ProblemImports.IsSidon", - "name": "IsSidon", - "module": "Semantics.FormalConjectures.Util.ProblemImports" - }, - { - "kind": "module", - "id": "Semantics.Foundations.AggregateLoad", - "name": "AggregateLoad", - "path": "Semantics/Foundations/AggregateLoad.lean", - "namespace": "Semantics.Foundations", - "doc": "L_agg = \u03a3 w_i \u00b7 L_i Weighted aggregation of per-substrate or per-node computational loads. This is the foundation kernel for substrate load balancing, where each node reports its load L_i and the scheduler computes the weighted aggregate to make routing and dispatch decisions.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 1, - "inductive_count": 0, - "line_count": 69 - }, - { - "kind": "def", - "id": "Semantics.Foundations.AggregateLoad.aggregateLoad", - "name": "aggregateLoad", - "module": "Semantics.Foundations.AggregateLoad" - }, - { - "kind": "def", - "id": "Semantics.Foundations.AggregateLoad.peakLoad", - "name": "peakLoad", - "module": "Semantics.Foundations.AggregateLoad" - }, - { - "kind": "def", - "id": "Semantics.Foundations.AggregateLoad.loadImbalance", - "name": "loadImbalance", - "module": "Semantics.Foundations.AggregateLoad" - }, - { - "kind": "def", - "id": "Semantics.Foundations.AggregateLoad.uniformEntries", - "name": "uniformEntries", - "module": "Semantics.Foundations.AggregateLoad" - }, - { - "kind": "def", - "id": "Semantics.Foundations.AggregateLoad.weightedEntries", - "name": "weightedEntries", - "module": "Semantics.Foundations.AggregateLoad" - }, - { - "kind": "def", - "id": "Semantics.Foundations.AggregateLoad.skewedEntries", - "name": "skewedEntries", - "module": "Semantics.Foundations.AggregateLoad" - }, - { - "kind": "module", - "id": "Semantics.Foundations.CarnotEfficiency", - "name": "CarnotEfficiency", - "path": "Semantics/Foundations/CarnotEfficiency.lean", - "namespace": "Semantics.Foundations", - "doc": "\u03b7 = 1 - T_cold / T_hot", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 1, - "struct_count": 0, - "inductive_count": 0, - "line_count": 19 - }, - { - "kind": "def", - "id": "Semantics.Foundations.CarnotEfficiency.carnotEfficiency", - "name": "carnotEfficiency", - "module": "Semantics.Foundations.CarnotEfficiency" - }, - { - "kind": "module", - "id": "Semantics.Foundations.EnergyBalance", - "name": "EnergyBalance", - "path": "Semantics/Foundations/EnergyBalance.lean", - "namespace": "Semantics.Foundations", - "doc": "E_balance = E_gain - E_cost", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 1, - "struct_count": 0, - "inductive_count": 0, - "line_count": 18 - }, - { - "kind": "def", - "id": "Semantics.Foundations.EnergyBalance.energyBalance", - "name": "energyBalance", - "module": "Semantics.Foundations.EnergyBalance" - }, - { - "kind": "module", - "id": "Semantics.Foundations.GeodesicConnection", - "name": "GeodesicConnection", - "path": "Semantics/Foundations/GeodesicConnection.lean", - "namespace": "Semantics.Foundations", - "doc": "\u0393^k_ij = \u00bd g^{kl} (\u2202_i g_{jl} + \u2202_j g_{il} - \u2202_l g_{ij}) In the Q16_16 discrete setting, we approximate the connection coefficients from finite differences of the metric tensor components. This implements the geodesic equation acceleration term: \u1e8d^k = -\u0393^k_ij \u1e8b^i \u1e8b^j", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 1, - "inductive_count": 0, - "line_count": 63 - }, - { - "kind": "def", - "id": "Semantics.Foundations.GeodesicConnection.Metric2D", - "name": "Metric2D", - "module": "Semantics.Foundations.GeodesicConnection" - }, - { - "kind": "def", - "id": "Semantics.Foundations.GeodesicConnection.christoffelApprox", - "name": "christoffelApprox", - "module": "Semantics.Foundations.GeodesicConnection" - }, - { - "kind": "def", - "id": "Semantics.Foundations.GeodesicConnection.geodesicAccel1D", - "name": "geodesicAccel1D", - "module": "Semantics.Foundations.GeodesicConnection" - }, - { - "kind": "def", - "id": "Semantics.Foundations.GeodesicConnection.geodesicStep", - "name": "geodesicStep", - "module": "Semantics.Foundations.GeodesicConnection" - }, - { - "kind": "module", - "id": "Semantics.Foundations.HierarchicalEntropy", - "name": "HierarchicalEntropy", - "path": "Semantics/Foundations/HierarchicalEntropy.lean", - "namespace": "Semantics.Foundations", - "doc": "H_hier = \u03a3 w_i H_i", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 1, - "struct_count": 0, - "inductive_count": 0, - "line_count": 20 - }, - { - "kind": "def", - "id": "Semantics.Foundations.HierarchicalEntropy.hierarchicalEntropy", - "name": "hierarchicalEntropy", - "module": "Semantics.Foundations.HierarchicalEntropy" - }, - { - "kind": "module", - "id": "Semantics.Foundations.InformationContent", - "name": "InformationContent", - "path": "Semantics/Foundations/InformationContent.lean", - "namespace": "Semantics.Foundations", - "doc": "I(x) = -log2(p(x))", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 2, - "struct_count": 0, - "inductive_count": 0, - "line_count": 27 - }, - { - "kind": "def", - "id": "Semantics.Foundations.InformationContent.informationContent", - "name": "informationContent", - "module": "Semantics.Foundations.InformationContent" - }, - { - "kind": "def", - "id": "Semantics.Foundations.InformationContent.rareEvent", - "name": "rareEvent", - "module": "Semantics.Foundations.InformationContent" - }, - { - "kind": "module", - "id": "Semantics.Foundations.IntrinsicRatio", - "name": "IntrinsicRatio", - "path": "Semantics/Foundations/IntrinsicRatio.lean", - "namespace": "Semantics.Foundations", - "doc": "r = a / b, with \u03c6 = (1 + \u221a5) / 2 as the golden ratio reference. The intrinsic ratio measures how close a proportion a:b is to the golden ratio \u03c6 \u2248 1.618034. This is used for: Golden-angle encoding (\u03c6\u207b\u00b9 = 0x9E70 in Q16.16) Braid strand spacing optimality Fractal subdivision ratios", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 61 - }, - { - "kind": "def", - "id": "Semantics.Foundations.IntrinsicRatio.phi", - "name": "phi", - "module": "Semantics.Foundations.IntrinsicRatio" - }, - { - "kind": "def", - "id": "Semantics.Foundations.IntrinsicRatio.phiInv", - "name": "phiInv", - "module": "Semantics.Foundations.IntrinsicRatio" - }, - { - "kind": "def", - "id": "Semantics.Foundations.IntrinsicRatio.intrinsicRatio", - "name": "intrinsicRatio", - "module": "Semantics.Foundations.IntrinsicRatio" - }, - { - "kind": "def", - "id": "Semantics.Foundations.IntrinsicRatio.goldenDeviation", - "name": "goldenDeviation", - "module": "Semantics.Foundations.IntrinsicRatio" - }, - { - "kind": "def", - "id": "Semantics.Foundations.IntrinsicRatio.isGoldenRatio", - "name": "isGoldenRatio", - "module": "Semantics.Foundations.IntrinsicRatio" - }, - { - "kind": "module", - "id": "Semantics.Foundations.LandauerBound", - "name": "LandauerBound", - "path": "Semantics/Foundations/LandauerBound.lean", - "namespace": "Semantics.Foundations", - "doc": "W = k_B * T * ln(2)", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 1, - "struct_count": 0, - "inductive_count": 0, - "line_count": 20 - }, - { - "kind": "def", - "id": "Semantics.Foundations.LandauerBound.landauerBound", - "name": "landauerBound", - "module": "Semantics.Foundations.LandauerBound" - }, - { - "kind": "module", - "id": "Semantics.Foundations.MaxwellDemon", - "name": "MaxwellDemon", - "path": "Semantics/Foundations/MaxwellDemon.lean", - "namespace": "Semantics.Foundations", - "doc": "\u03b7_demon = E_recovered / (k_B * T * I)", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 1, - "struct_count": 0, - "inductive_count": 0, - "line_count": 20 - }, - { - "kind": "def", - "id": "Semantics.Foundations.MaxwellDemon.maxwellDemonRecovery", - "name": "maxwellDemonRecovery", - "module": "Semantics.Foundations.MaxwellDemon" - }, - { - "kind": "module", - "id": "Semantics.Foundations.RiemannianDistance", - "name": "RiemannianDistance", - "path": "Semantics/Foundations/RiemannianDistance.lean", - "namespace": "Semantics.Foundations", - "doc": "d(p,q) = \u221a(\u03a3 g_ij \u0394x_i \u0394x_j) In flat (Euclidean) space with identity metric, this reduces to the standard L2 distance: d = \u221a(\u03a3 (\u0394x_i)\u00b2). The Q16_16 implementation computes the metric-weighted sum of squared coordinate differences and returns the integer square root.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 51 - }, - { - "kind": "def", - "id": "Semantics.Foundations.RiemannianDistance.squaredDistance", - "name": "squaredDistance", - "module": "Semantics.Foundations.RiemannianDistance" - }, - { - "kind": "def", - "id": "Semantics.Foundations.RiemannianDistance.riemannianDistance", - "name": "riemannianDistance", - "module": "Semantics.Foundations.RiemannianDistance" - }, - { - "kind": "def", - "id": "Semantics.Foundations.RiemannianDistance.riemannianDistanceWeighted", - "name": "riemannianDistanceWeighted", - "module": "Semantics.Foundations.RiemannianDistance" - }, - { - "kind": "module", - "id": "Semantics.Foundations.ShannonEntropy", - "name": "ShannonEntropy", - "path": "Semantics/Foundations/ShannonEntropy.lean", - "namespace": "Semantics.Foundations", - "doc": "H(X) = -\u03a3 p_i log2(p_i)", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 32 - }, - { - "kind": "def", - "id": "Semantics.Foundations.ShannonEntropy.shannonEntropy", - "name": "shannonEntropy", - "module": "Semantics.Foundations.ShannonEntropy" - }, - { - "kind": "def", - "id": "Semantics.Foundations.ShannonEntropy.fairCoin", - "name": "fairCoin", - "module": "Semantics.Foundations.ShannonEntropy" - }, - { - "kind": "def", - "id": "Semantics.Foundations.ShannonEntropy.certainEvent", - "name": "certainEvent", - "module": "Semantics.Foundations.ShannonEntropy" - }, - { - "kind": "module", - "id": "Semantics.Foundations.SymplecticGeodesicStep", - "name": "SymplecticGeodesicStep", - "path": "Semantics/Foundations/SymplecticGeodesicStep.lean", - "namespace": "Semantics.Foundations", - "doc": "The symplectic integrator preserves the symplectic 2-form \u03c9 = dp \u2227 dq, guaranteeing bounded energy drift over long integration horizons. St\u00f6rmer-Verlet (leapfrog) scheme: p_{1/2} = p_n - (dt/2) \u00b7 \u2207V(q_n) q_{n+1} = q_n + dt \u00b7 p_{1/2} / m p_{n+1} = p_{1/2} - (dt/2) \u00b7 \u2207V(q_{n+1})", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 1, - "inductive_count": 0, - "line_count": 62 - }, - { - "kind": "def", - "id": "Semantics.Foundations.SymplecticGeodesicStep.symplecticStep", - "name": "symplecticStep", - "module": "Semantics.Foundations.SymplecticGeodesicStep" - }, - { - "kind": "def", - "id": "Semantics.Foundations.SymplecticGeodesicStep.symplecticIntegrate", - "name": "symplecticIntegrate", - "module": "Semantics.Foundations.SymplecticGeodesicStep" - }, - { - "kind": "def", - "id": "Semantics.Foundations.SymplecticGeodesicStep.harmonicGradV", - "name": "harmonicGradV", - "module": "Semantics.Foundations.SymplecticGeodesicStep" - }, - { - "kind": "def", - "id": "Semantics.Foundations.SymplecticGeodesicStep.harmonicInit", - "name": "harmonicInit", - "module": "Semantics.Foundations.SymplecticGeodesicStep" - }, - { - "kind": "module", - "id": "Semantics.FractionScan", - "name": "FractionScan", - "path": "Semantics/FractionScan.lean", - "namespace": "Semantics.FractionScan", - "doc": "FractionScan.lean \u2014 Systematic Scan of Alternative Fractions This module addresses the adversarial review's Attack #3: \"53 Alternative Fractions in Range \u2014 Why 7/27?\" The hostile reviewer identified 53 distinct fractions in [0.24, 0.28] with denominator \u2264 50, many of which work as well or better t", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 17, - "def_count": 14, - "struct_count": 0, - "inductive_count": 0, - "line_count": 269 - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.for", - "name": "for", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.f_13_50_exactMott", - "name": "f_13_50_exactMott", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.f_7_27_mottDistance", - "name": "f_7_27_mottDistance", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.f_13_50_mottDistance", - "name": "f_13_50_mottDistance", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.f_6_23_mottDistance", - "name": "f_6_23_mottDistance", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.f_7_27_closer_than_6_23", - "name": "f_7_27_closer_than_6_23", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.f_8_31_mottDistance", - "name": "f_8_31_mottDistance", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.f_9_35_mottDistance", - "name": "f_9_35_mottDistance", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.f_5_19_mottDistance", - "name": "f_5_19_mottDistance", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.speciesArea_exact", - "name": "speciesArea_exact", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.f_7_27_speciesAreaDistance", - "name": "f_7_27_speciesAreaDistance", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.f_13_50_speciesAreaDistance", - "name": "f_13_50_speciesAreaDistance", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.f_7_27_closer_to_speciesArea_than_13_50", - "name": "f_7_27_closer_to_speciesArea_than_13_50", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.f_7_27_compromiseScore", - "name": "f_7_27_compromiseScore", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.f_13_50_compromiseScore", - "name": "f_13_50_compromiseScore", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.f_8_31_compromiseScore", - "name": "f_8_31_compromiseScore", - "module": "Semantics.FractionScan" - }, - { - "kind": "theorem", - "id": "Semantics.FractionScan.threeFractionsTied", - "name": "threeFractionsTied", - "module": "Semantics.FractionScan" - }, - { - "kind": "def", - "id": "Semantics.FractionScan.mottCriterion", - "name": "mottCriterion", - "module": "Semantics.FractionScan" - }, - { - "kind": "def", - "id": "Semantics.FractionScan.zMenger", - "name": "zMenger", - "module": "Semantics.FractionScan" - }, - { - "kind": "def", - "id": "Semantics.FractionScan.speciesArea", - "name": "speciesArea", - "module": "Semantics.FractionScan" - }, - { - "kind": "def", - "id": "Semantics.FractionScan.f_13_50", - "name": "f_13_50", - "module": "Semantics.FractionScan" - }, - { - "kind": "def", - "id": "Semantics.FractionScan.f_6_23", - "name": "f_6_23", - "module": "Semantics.FractionScan" - }, - { - "kind": "def", - "id": "Semantics.FractionScan.f_5_19", - "name": "f_5_19", - "module": "Semantics.FractionScan" - }, - { - "kind": "def", - "id": "Semantics.FractionScan.f_7_27", - "name": "f_7_27", - "module": "Semantics.FractionScan" - }, - { - "kind": "def", - "id": "Semantics.FractionScan.f_9_35", - "name": "f_9_35", - "module": "Semantics.FractionScan" - }, - { - "kind": "def", - "id": "Semantics.FractionScan.f_8_31", - "name": "f_8_31", - "module": "Semantics.FractionScan" - }, - { - "kind": "def", - "id": "Semantics.FractionScan.mottDistance", - "name": "mottDistance", - "module": "Semantics.FractionScan" - }, - { - "kind": "def", - "id": "Semantics.FractionScan.speciesAreaDistance", - "name": "speciesAreaDistance", - "module": "Semantics.FractionScan" - }, - { - "kind": "def", - "id": "Semantics.FractionScan.compromiseScore", - "name": "compromiseScore", - "module": "Semantics.FractionScan" - }, - { - "kind": "def", - "id": "Semantics.FractionScan.lookElsewhereFactor", - "name": "lookElsewhereFactor", - "module": "Semantics.FractionScan" - }, - { - "kind": "def", - "id": "Semantics.FractionScan.lookElsewhereCorrectedSignificance", - "name": "lookElsewhereCorrectedSignificance", - "module": "Semantics.FractionScan" - }, - { - "kind": "module", - "id": "Semantics.Functions.BracketedCalculus", - "name": "BracketedCalculus", - "path": "Semantics/Functions/BracketedCalculus.lean", - "namespace": "Semantics.BracketedCalculus", - "doc": "BracketedCalculus.lean - DIAT Extension to Bracketed Calculus", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 11, - "struct_count": 1, - "inductive_count": 0, - "line_count": 98 - }, - { - "kind": "def", - "id": "Semantics.Functions.BracketedCalculus.encode", - "name": "encode", - "module": "Semantics.Functions.BracketedCalculus" - }, - { - "kind": "def", - "id": "Semantics.Functions.BracketedCalculus.width", - "name": "width", - "module": "Semantics.Functions.BracketedCalculus" - }, - { - "kind": "def", - "id": "Semantics.Functions.BracketedCalculus.checkGapConservation", - "name": "checkGapConservation", - "module": "Semantics.Functions.BracketedCalculus" - }, - { - "kind": "def", - "id": "Semantics.Functions.BracketedCalculus.isInterior", - "name": "isInterior", - "module": "Semantics.Functions.BracketedCalculus" - }, - { - "kind": "def", - "id": "Semantics.Functions.BracketedCalculus.bracketAdd", - "name": "bracketAdd", - "module": "Semantics.Functions.BracketedCalculus" - }, - { - "kind": "def", - "id": "Semantics.Functions.BracketedCalculus.bracketMulConservative", - "name": "bracketMulConservative", - "module": "Semantics.Functions.BracketedCalculus" - }, - { - "kind": "def", - "id": "Semantics.Functions.BracketedCalculus.bracketNeg", - "name": "bracketNeg", - "module": "Semantics.Functions.BracketedCalculus" - }, - { - "kind": "def", - "id": "Semantics.Functions.BracketedCalculus.taylorWithinTolerance", - "name": "taylorWithinTolerance", - "module": "Semantics.Functions.BracketedCalculus" - }, - { - "kind": "def", - "id": "Semantics.Functions.BracketedCalculus.derivativeEstimate", - "name": "derivativeEstimate", - "module": "Semantics.Functions.BracketedCalculus" - }, - { - "kind": "def", - "id": "Semantics.Functions.BracketedCalculus.secondDerivativeEstimate", - "name": "secondDerivativeEstimate", - "module": "Semantics.Functions.BracketedCalculus" - }, - { - "kind": "def", - "id": "Semantics.Functions.BracketedCalculus.adaptiveRefine", - "name": "adaptiveRefine", - "module": "Semantics.Functions.BracketedCalculus" - }, - { - "kind": "module", - "id": "Semantics.Functions.MathDebate", - "name": "MathDebate", - "path": "Semantics/Functions/MathDebate.lean", - "namespace": "Semantics.MathDebate", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 6, - "inductive_count": 3, - "line_count": 83 - }, - { - "kind": "def", - "id": "Semantics.Functions.MathDebate.zero", - "name": "zero", - "module": "Semantics.Functions.MathDebate" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathDebate.one", - "name": "one", - "module": "Semantics.Functions.MathDebate" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathDebate.ofNat", - "name": "ofNat", - "module": "Semantics.Functions.MathDebate" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathDebate.toNat", - "name": "toNat", - "module": "Semantics.Functions.MathDebate" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathDebate.ofFrac", - "name": "ofFrac", - "module": "Semantics.Functions.MathDebate" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathDebate.runSampleDebate", - "name": "runSampleDebate", - "module": "Semantics.Functions.MathDebate" - }, - { - "kind": "module", - "id": "Semantics.Functions.MathQuery", - "name": "MathQuery", - "path": "Semantics/Functions/MathQuery.lean", - "namespace": "Semantics.MathQuery", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team MathQuery.lean \u2014 ENE Extension for Mathematical Subject Query This module extends the ENE semantic database with specialized indexing and retrieval for mathematical subjects: theorems, equations, proof", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 15, - "struct_count": 3, - "inductive_count": 3, - "line_count": 341 - }, - { - "kind": "theorem", - "id": "Semantics.Functions.MathQuery.exactSubjectZeroCost", - "name": "exactSubjectZeroCost", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.toIdx", - "name": "toIdx", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.label", - "name": "label", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.ofUInt32", - "name": "ofUInt32", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.defaultQueryParams", - "name": "defaultQueryParams", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.q16_one", - "name": "q16_one", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.subjectCost", - "name": "subjectCost", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.yearCost", - "name": "yearCost", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.complexityCost", - "name": "complexityCost", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.queryCost", - "name": "queryCost", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.emptyDatabase", - "name": "emptyDatabase", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.insertEntity", - "name": "insertEntity", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.queryDatabase", - "name": "queryDatabase", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.toQueryResult", - "name": "toQueryResult", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.testEntity1", - "name": "testEntity1", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "def", - "id": "Semantics.Functions.MathQuery.testEntity2", - "name": "testEntity2", - "module": "Semantics.Functions.MathQuery" - }, - { - "kind": "module", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib", - "name": "WSM_WR_EGS_WC_Mathlib", - "path": "Semantics/Functions/WSM_WR_EGS_WC_Mathlib.lean", - "namespace": "WSM", - "doc": "WSM_WR_EGS_WC_Mathlib.lean Mathlib-oriented sketch for: Wavefunction Superposition Metacomputation \u2192 Waveform Recording \u2192 Energy-Gradient Signal \u2192 Waveprobe Coarse-Graining", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 25, - "def_count": 46, - "struct_count": 0, - "inductive_count": 1, - "line_count": 439 - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.H_selfadjoint", - "name": "H_selfadjoint", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.observables_hermitian", - "name": "observables_hermitian", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.state_normalized", - "name": "state_normalized", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.expect_real_of_selfadjoint", - "name": "expect_real_of_selfadjoint", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.closed_energy_conservation", - "name": "closed_energy_conservation", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.open_energy_nontrivial_possible", - "name": "open_energy_nontrivial_possible", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.coarse_noninjective", - "name": "coarse_noninjective", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.signal_ext", - "name": "signal_ext", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.StotalClosed_def", - "name": "StotalClosed_def", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.StotalOpen_def", - "name": "StotalOpen_def", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.canonical_pipeline_closed", - "name": "canonical_pipeline_closed", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.canonical_pipeline_open", - "name": "canonical_pipeline_open", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.dEclosed_zero", - "name": "dEclosed_zero", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.\u0394Eplus_zero_of_closed", - "name": "\u0394Eplus_zero_of_closed", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.\u0394Eminus_zero_of_closed", - "name": "\u0394Eminus_zero_of_closed", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.GEclosed_reduces_when_temporal_zero", - "name": "GEclosed_reduces_when_temporal_zero", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.feature_equiv_implies_probe_equiv", - "name": "feature_equiv_implies_probe_equiv", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.probe_equiv_implies_coarse_equiv", - "name": "probe_equiv_implies_coarse_equiv", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.feature_equiv_implies_coarse_equiv", - "name": "feature_equiv_implies_coarse_equiv", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.coarse_graining_not_injective", - "name": "coarse_graining_not_injective", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.StotalClosed_pointwise", - "name": "StotalClosed_pointwise", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.StotalOpen_pointwise", - "name": "StotalOpen_pointwise", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.open_branch_can_have_nontrivial_energy_channel", - "name": "open_branch_can_have_nontrivial_energy_channel", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.full_pipeline_is_composition_closed", - "name": "full_pipeline_is_composition_closed", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.full_pipeline_is_composition_open", - "name": "full_pipeline_is_composition_open", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.NormedAddCommGroup\u03a8", - "name": "NormedAddCommGroup\u03a8", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.InnerProductSpace\u03a8", - "name": "InnerProductSpace\u03a8", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.CompleteSpace\u03a8", - "name": "CompleteSpace\u03a8", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.\u03b7", - "name": "\u03b7", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.H", - "name": "H", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.O", - "name": "O", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.w", - "name": "w", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.\u0393SE", - "name": "\u0393SE", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.F", - "name": "F", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.W", - "name": "W", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.C", - "name": "C", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.\u03c8", - "name": "\u03c8", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.\u03c1", - "name": "\u03c1", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.Normalized", - "name": "Normalized", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.SelfAdjointOp", - "name": "SelfAdjointOp", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.HermitianObservable", - "name": "HermitianObservable", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.expect", - "name": "expect", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.expect\u03c1", - "name": "expect\u03c1", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.ddt", - "name": "ddt", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "def", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib.spatialGradNorm", - "name": "spatialGradNorm", - "module": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib" - }, - { - "kind": "module", - "id": "Semantics.Functions.WSM_WR_EGS_WC_Mathlib_temp", - "name": "WSM_WR_EGS_WC_Mathlib_temp", - "path": "Semantics/Functions/WSM_WR_EGS_WC_Mathlib_temp.lean", - "namespace": "", - "doc": "", - "math_kind": "general", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 0, - "struct_count": 0, - "inductive_count": 0, - "line_count": 1 - }, - { - "kind": "module", - "id": "Semantics.Functions.WavefunctionSuperpositionMetacomputation", - "name": "WavefunctionSuperpositionMetacomputation", - "path": "Semantics/Functions/WavefunctionSuperpositionMetacomputation.lean", - "namespace": "Semantics", - "doc": "Wavefunction Superposition Metacomputation This module formalizes the concept of wavefunction superposition as a metacomputation for pyramid-spherion geometry. Shape states become quantum wavefunctions encoding superpositions of void/protrusion/flat/complex states. Key structures: WavefunctionStat", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 7, - "struct_count": 4, - "inductive_count": 2, - "line_count": 199 - }, - { - "kind": "theorem", - "id": "Semantics.Functions.WavefunctionSuperpositionMetacomputation.normalizationPreservation", - "name": "normalizationPreservation", - "module": "Semantics.Functions.WavefunctionSuperpositionMetacomputation" - }, - { - "kind": "def", - "id": "Semantics.Functions.WavefunctionSuperpositionMetacomputation.wavefunctionNorm", - "name": "wavefunctionNorm", - "module": "Semantics.Functions.WavefunctionSuperpositionMetacomputation" - }, - { - "kind": "def", - "id": "Semantics.Functions.WavefunctionSuperpositionMetacomputation.isWavefunctionNormalized", - "name": "isWavefunctionNormalized", - "module": "Semantics.Functions.WavefunctionSuperpositionMetacomputation" - }, - { - "kind": "def", - "id": "Semantics.Functions.WavefunctionSuperpositionMetacomputation.applyQuantumOperation", - "name": "applyQuantumOperation", - "module": "Semantics.Functions.WavefunctionSuperpositionMetacomputation" - }, - { - "kind": "def", - "id": "Semantics.Functions.WavefunctionSuperpositionMetacomputation.wavefunctionInvariant", - "name": "wavefunctionInvariant", - "module": "Semantics.Functions.WavefunctionSuperpositionMetacomputation" - }, - { - "kind": "def", - "id": "Semantics.Functions.WavefunctionSuperpositionMetacomputation.quantumOperationCost", - "name": "quantumOperationCost", - "module": "Semantics.Functions.WavefunctionSuperpositionMetacomputation" - }, - { - "kind": "def", - "id": "Semantics.Functions.WavefunctionSuperpositionMetacomputation.wavefunctionMetacomputationCost", - "name": "wavefunctionMetacomputationCost", - "module": "Semantics.Functions.WavefunctionSuperpositionMetacomputation" - }, - { - "kind": "def", - "id": "Semantics.Functions.WavefunctionSuperpositionMetacomputation.wavefunctionMetacomputationBind", - "name": "wavefunctionMetacomputationBind", - "module": "Semantics.Functions.WavefunctionSuperpositionMetacomputation" - }, - { - "kind": "module", - "id": "Semantics.FuzzyAssociation", - "name": "FuzzyAssociation", - "path": "Semantics/FuzzyAssociation.lean", - "namespace": "Semantics.FuzzyAssociation", - "doc": "FuzzyMatch: Represents a non-explicit connection between two concepts. Confidence is a Q0.16 value between 0 and 1 (2-byte pure fraction).", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 2, - "struct_count": 1, - "inductive_count": 0, - "line_count": 36 - }, - { - "kind": "def", - "id": "Semantics.FuzzyAssociation.isInteresting", - "name": "isInteresting", - "module": "Semantics.FuzzyAssociation" - }, - { - "kind": "def", - "id": "Semantics.FuzzyAssociation.fuzzyBind", - "name": "fuzzyBind", - "module": "Semantics.FuzzyAssociation" - }, - { - "kind": "module", - "id": "Semantics.GCCL", - "name": "GCCL", - "path": "Semantics/GCCL.lean", - "namespace": "Semantics.GCCL", - "doc": "# GCCL Formal Core This module formalizes the broad GCCL space described in `docs/research/GCCL_THEORY_INTRO.md` and `docs/research/GCCL_GENETIC_INFORMATION_MIXTURE_PRIMITIVES.md`. 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Authors: Research Stack Team GPUResourceManager.lean \u2014 GPU resource allocation and optimization for 80% load target. This module formalizes: 1. Dynamic GPU resource allocation based on task suitability 2. Priority-based resource s", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 15, - "struct_count": 4, - "inductive_count": 3, - "line_count": 200 - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.defaultGPUSpec", - "name": "defaultGPUSpec", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.vramUtilizationRatio", - "name": "vramUtilizationRatio", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.coreUtilizationRatio", - "name": "coreUtilizationRatio", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.atTargetLoad", - "name": "atTargetLoad", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.canAllocateGPU", - "name": "canAllocateGPU", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.allocateTask", - "name": "allocateTask", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.resourceInvariant", - "name": "resourceInvariant", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.resourceCost", - "name": "resourceCost", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.resourceBind", - "name": "resourceBind", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.gpuAtTarget", - "name": "gpuAtTarget", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.gpuUnderUtilized", - "name": "gpuUnderUtilized", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.gpuOverUtilized", - "name": "gpuOverUtilized", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.gpuTask", - "name": "gpuTask", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.cpuTask", - "name": "cpuTask", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "def", - "id": "Semantics.GPUResourceManager.idleGPU", - "name": "idleGPU", - "module": "Semantics.GPUResourceManager" - }, - { - "kind": "module", - "id": "Semantics.GemmaIntegration", - "name": "GemmaIntegration", - "path": "Semantics/GemmaIntegration.lean", - "namespace": "Semantics.GemmaIntegration", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GemmaIntegration.lean \u2014 Gemma 4 Integration Prompt Routing Replaces infra/gemma_4_integration.py prompt routing logic with a formal Lean module. Defines Gemma 4 model variants, task types, and prompt r", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 13, - "struct_count": 4, - "inductive_count": 3, - "line_count": 229 - }, - { - "kind": "theorem", - "id": "Semantics.GemmaIntegration.e4BSupportsAudio", - "name": "e4BSupportsAudio", - "module": "Semantics.GemmaIntegration" - }, - { - "kind": "theorem", - "id": "Semantics.GemmaIntegration.e4BIsNotMoE", - "name": "e4BIsNotMoE", - "module": "Semantics.GemmaIntegration" - }, - { - "kind": "theorem", - "id": "Semantics.GemmaIntegration.audioTranscriptionRequiresAudio", - "name": "audioTranscriptionRequiresAudio", - "module": "Semantics.GemmaIntegration" - }, - { - "kind": "theorem", - "id": "Semantics.GemmaIntegration.e4BCompatibleWithTextGen", - "name": "e4BCompatibleWithTextGen", - "module": "Semantics.GemmaIntegration" - }, - { - "kind": "theorem", - "id": "Semantics.GemmaIntegration.emptyRegistryHasNoMetrics", - "name": "emptyRegistryHasNoMetrics", - 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}, - { - "kind": "def", - "id": "Semantics.GemmaIntegration.requiresMultimodal", - "name": "requiresMultimodal", - "module": "Semantics.GemmaIntegration" - }, - { - "kind": "def", - "id": "Semantics.GemmaIntegration.isVariantCompatible", - "name": "isVariantCompatible", - "module": "Semantics.GemmaIntegration" - }, - { - "kind": "def", - "id": "Semantics.GemmaIntegration.getRecommendedVariant", - "name": "getRecommendedVariant", - "module": "Semantics.GemmaIntegration" - }, - { - "kind": "def", - "id": "Semantics.GemmaIntegration.initMetricsRegistry", - "name": "initMetricsRegistry", - "module": "Semantics.GemmaIntegration" - }, - { - "kind": "def", - "id": "Semantics.GemmaIntegration.updateMetrics", - "name": "updateMetrics", - "module": "Semantics.GemmaIntegration" - }, - { - "kind": "def", - "id": "Semantics.GemmaIntegration.getVariantMetrics", - "name": "getVariantMetrics", - "module": "Semantics.GemmaIntegration" - }, - { - "kind": "module", - "id": "Semantics.GeneBytecodeJIT", - 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"module": "Semantics.GenerateLUT" - }, - { - "kind": "def", - "id": "Semantics.GenerateLUT.runGeneration", - "name": "runGeneration", - "module": "Semantics.GenerateLUT" - }, - { - "kind": "module", - "id": "Semantics.GeneticBraidBridge", - "name": "GeneticBraidBridge", - "path": "Semantics/GeneticBraidBridge.lean", - "namespace": "Semantics.GeneticBraidBridge", - "doc": "GeneticBraidBridge.lean -- Genetic Sequence to BraidState Translation Maps any supported genetic alphabet (DNA, RNA, mRNA, Hachimoji, XNA, 6-state) to a BraidState via braid word composition on the 8-strand BraidStorm topology. Each symbol is assigned to a primary strand (0-7) based on its ordinal", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 14, - "struct_count": 0, - "inductive_count": 3, - "line_count": 242 - }, - { - "kind": "theorem", - "id": "Semantics.GeneticBraidBridge.ordinal_mod_lt", - "name": "ordinal_mod_lt", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticBraidBridge.genetic_eigensolid_convergence", - "name": "genetic_eigensolid_convergence", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticBraidBridge.genetic_receipt_invertible", - "name": "genetic_receipt_invertible", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "def", - "id": "Semantics.GeneticBraidBridge.alphabetSize", - "name": "alphabetSize", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "def", - "id": "Semantics.GeneticBraidBridge.codonLength", - "name": "codonLength", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "def", - "id": "Semantics.GeneticBraidBridge.numCodons", - "name": "numCodons", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "def", - "id": "Semantics.GeneticBraidBridge.symbolOrdinal", - "name": "symbolOrdinal", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "def", - "id": "Semantics.GeneticBraidBridge.symbolToStrand", - "name": "symbolToStrand", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "def", - "id": "Semantics.GeneticBraidBridge.defaultSidonLabels", - "name": "defaultSidonLabels", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "def", - "id": "Semantics.GeneticBraidBridge.initialState", - "name": "initialState", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "def", - "id": "Semantics.GeneticBraidBridge.pairStrand", - "name": "pairStrand", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "def", - "id": "Semantics.GeneticBraidBridge.applySymbol", - "name": "applySymbol", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "def", - "id": "Semantics.GeneticBraidBridge.applyGeneticWord", - "name": "applyGeneticWord", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "def", - "id": "Semantics.GeneticBraidBridge.geneticReceipt", - "name": "geneticReceipt", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "def", - "id": "Semantics.GeneticBraidBridge.stringToWord", - "name": "stringToWord", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "def", - "id": "Semantics.GeneticBraidBridge.testWord", - "name": "testWord", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "def", - "id": "Semantics.GeneticBraidBridge.testState", - "name": "testState", - "module": "Semantics.GeneticBraidBridge" - }, - { - "kind": "module", - "id": "Semantics.GeneticCode", - "name": "GeneticCode", - "path": "Semantics/GeneticCode.lean", - "namespace": "Semantics.GeneticCode", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GeneticCode.lean \u2014 Standard Genetic Code (NCBI Table 1) This module formalizes the biological genetic code translation from DNA/RNA codons to amino acids. It provides: \u2022 DNA base representation (A, T, ", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 11, - "struct_count": 1, - "inductive_count": 2, - "line_count": 189 - }, - { - "kind": "def", - "id": "Semantics.GeneticCode.eventBits", - "name": "eventBits", - "module": "Semantics.GeneticCode" - }, - { - "kind": "def", - "id": "Semantics.GeneticCode.parityOfEvent", - "name": "parityOfEvent", - "module": "Semantics.GeneticCode" - }, - { - "kind": "def", - "id": "Semantics.GeneticCode.AminoAcid", - "name": "AminoAcid", - "module": "Semantics.GeneticCode" - }, - { - "kind": "def", - "id": "Semantics.GeneticCode.Codon", - "name": "Codon", - "module": "Semantics.GeneticCode" - }, - { - "kind": "def", - "id": "Semantics.GeneticCode.geneticCode", - "name": "geneticCode", - "module": "Semantics.GeneticCode" - }, - { - "kind": "def", - "id": "Semantics.GeneticCode.isStartCodon", - "name": "isStartCodon", - "module": "Semantics.GeneticCode" - }, - { - "kind": "def", - "id": "Semantics.GeneticCode.isStopCodon", - "name": "isStopCodon", - "module": "Semantics.GeneticCode" - }, - { - "kind": "def", - "id": "Semantics.GeneticCode.codonDegeneracy", - "name": "codonDegeneracy", - "module": "Semantics.GeneticCode" - }, - { - "kind": "def", - "id": "Semantics.GeneticCode.exampleStartCodon", - "name": "exampleStartCodon", - "module": "Semantics.GeneticCode" - }, - { - "kind": "def", - "id": "Semantics.GeneticCode.exampleStopCodon", - "name": "exampleStopCodon", - "module": "Semantics.GeneticCode" - }, - { - "kind": "def", - "id": "Semantics.GeneticCode.examplePheCodon", - "name": "examplePheCodon", - "module": "Semantics.GeneticCode" - }, - { - "kind": "module", - "id": "Semantics.GeneticCodeOptimization", - "name": "GeneticCodeOptimization", - "path": "Semantics/GeneticCodeOptimization.lean", - "namespace": "Semantics.GeneticCodeOptimization", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GeneticCodeOptimization.lean \u2014 Formalization of Winning Genetic Code Equation Implements the winning equation from genetic code hypothesis generation: I = (H \u00d7 G) \u00d7 (1 - (D / 64)) Key contributions: 1", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 6, - "def_count": 11, - "struct_count": 1, - "inductive_count": 0, - "line_count": 201 - }, - { - "kind": "theorem", - "id": "Semantics.GeneticCodeOptimization.geneticOptimizationBounded", - "name": "geneticOptimizationBounded", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticCodeOptimization.degeneracyBounded", - "name": "degeneracyBounded", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticCodeOptimization.informationDensityBounded", - "name": "informationDensityBounded", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticCodeOptimization.errorResistanceBounded", - "name": "errorResistanceBounded", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticCodeOptimization.compressionEfficiencyBounded", - "name": "compressionEfficiencyBounded", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticCodeOptimization.targetsBelowMaximum", - "name": "targetsBelowMaximum", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "def", - "id": "Semantics.GeneticCodeOptimization.computeGeneticOptimization", - "name": "computeGeneticOptimization", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "def", - "id": "Semantics.GeneticCodeOptimization.targetInformationDensity", - "name": "targetInformationDensity", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "def", - "id": "Semantics.GeneticCodeOptimization.targetErrorResistance", - "name": "targetErrorResistance", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "def", - "id": "Semantics.GeneticCodeOptimization.targetCompressionEfficiency", - "name": "targetCompressionEfficiency", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "def", - "id": "Semantics.GeneticCodeOptimization.maxDegeneracy", - "name": "maxDegeneracy", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "def", - "id": "Semantics.GeneticCodeOptimization.computeInformationDensity", - "name": "computeInformationDensity", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "def", - "id": "Semantics.GeneticCodeOptimization.computeErrorResistance", - "name": "computeErrorResistance", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "def", - "id": "Semantics.GeneticCodeOptimization.computeCompressionEfficiency", - "name": "computeCompressionEfficiency", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "def", - "id": "Semantics.GeneticCodeOptimization.beatsInformationTarget", - "name": "beatsInformationTarget", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "def", - "id": "Semantics.GeneticCodeOptimization.beatsErrorTarget", - "name": "beatsErrorTarget", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "def", - "id": "Semantics.GeneticCodeOptimization.beatsCompressionTarget", - "name": "beatsCompressionTarget", - "module": "Semantics.GeneticCodeOptimization" - }, - { - "kind": "module", - "id": "Semantics.GeneticFieldEquation", - "name": "GeneticFieldEquation", - "path": "Semantics/GeneticFieldEquation.lean", - "namespace": "Semantics.GeneticFieldEquation", - "doc": "GeneticFieldEquation.lean -- Species-Dependent P0 via Semantic Mass Numbers The user's reframing: P0 is not universal or fitted \u2014 it is EMERGENT from each species' genetic field equation, and the output is checked through the MassNumber admissibility gate. STRUCTURE: 1. Genetic parameters (species", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 15, - "def_count": 23, - "struct_count": 1, - "inductive_count": 0, - "line_count": 466 - }, - { - "kind": "theorem", - "id": "Semantics.GeneticFieldEquation.for", - "name": "for", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticFieldEquation.geneticInvariantCloseTo3", - "name": "geneticInvariantCloseTo3", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticFieldEquation.geneticInvariantDifference", - "name": "geneticInvariantDifference", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticFieldEquation.sardineP0Derived", - "name": "sardineP0Derived", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticFieldEquation.sardineResidualSmall", - "name": "sardineResidualSmall", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticFieldEquation.earlyHumanP0Derived", - "name": "earlyHumanP0Derived", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticFieldEquation.modernHumanP0Derived", - "name": "modernHumanP0Derived", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticFieldEquation.upperLimitHumanP0Derived", - "name": "upperLimitHumanP0Derived", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticFieldEquation.earlyHumanResidualLarge", - "name": "earlyHumanResidualLarge", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticFieldEquation.modernHumanResidualLarge", - "name": "modernHumanResidualLarge", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticFieldEquation.upperLimitHumanResidualLarge", - "name": "upperLimitHumanResidualLarge", - 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{ - "kind": "def", - "id": "Semantics.GeneticFieldEquation.earlyHumanParameters", - "name": "earlyHumanParameters", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.modernHumanParameters", - "name": "modernHumanParameters", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.upperLimitHumanParameters", - "name": "upperLimitHumanParameters", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.sardineParameters", - "name": "sardineParameters", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.eColiParameters", - "name": "eColiParameters", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.semanticCountK5", - "name": "semanticCountK5", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.p0ToQ16_16", - "name": "p0ToQ16_16", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.deriveP0FromObservation", - "name": "deriveP0FromObservation", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.computeResidual", - "name": "computeResidual", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.geneticMassNumber", - "name": "geneticMassNumber", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.sardineMassNumber", - "name": "sardineMassNumber", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.earlyHumanMassNumber", - "name": "earlyHumanMassNumber", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.modernHumanMassNumber", - "name": "modernHumanMassNumber", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.upperLimitHumanMassNumber", - "name": "upperLimitHumanMassNumber", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.eColiMassNumber", - "name": "eColiMassNumber", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.oldGateSemanticsNote", - "name": "oldGateSemanticsNote", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.correctedGeneticMassNumber", - "name": "correctedGeneticMassNumber", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.correctedSardineMassNumber", - "name": "correctedSardineMassNumber", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "def", - "id": "Semantics.GeneticFieldEquation.correctedEarlyHumanMassNumber", - "name": "correctedEarlyHumanMassNumber", - "module": "Semantics.GeneticFieldEquation" - }, - { - "kind": "module", - "id": "Semantics.GeneticGroundUp", - "name": "GeneticGroundUp", - "path": "Semantics/GeneticGroundUp.lean", - "namespace": "Semantics.GeneticGroundUp", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GeneticGroundUp.lean \u2014 Ground-Up Genetic System Redesign Formalizes the swarm-designed genetic architecture: Quantum nucleotide encoding (6 states: A/T/C/G/U/X) Compiled gene kernels (native execution,", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 35, - "struct_count": 11, - "inductive_count": 3, - "line_count": 404 - }, - { - "kind": "theorem", - "id": "Semantics.GeneticGroundUp.quantumBaseProbValid", - "name": "quantumBaseProbValid", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticGroundUp.genomeFaultTolerance", - "name": "genomeFaultTolerance", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticGroundUp.metabolicThroughputNonNeg", - "name": "metabolicThroughputNonNeg", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.Nucleotide", - "name": "Nucleotide", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.expressionProb", - "name": "expressionProb", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.bindingEnergy", - "name": "bindingEnergy", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.foldAngle", - "name": "foldAngle", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.Prob01", - "name": "Prob01", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.NonnegQ16_16", - "name": "NonnegQ16_16", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.probAmpSq", - "name": "probAmpSq", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.getExpressionProb", - "name": "getExpressionProb", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.informationContentApprox", - "name": "informationContentApprox", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.isRecent", - "name": "isRecent", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.CompilationStage", - "name": "CompilationStage", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.targetFoldTime200Residue", - "name": "targetFoldTime200Residue", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.targetFoldTimeForResidues", - "name": "targetFoldTimeForResidues", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.achievedTargetSpeed", - "name": "achievedTargetSpeed", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.stabilityThreshold", - "name": "stabilityThreshold", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.isStable", - "name": "isStable", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.OptimizationObjective", - "name": "OptimizationObjective", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.messagePassing", - "name": "messagePassing", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "def", - "id": "Semantics.GeneticGroundUp.speedupTarget", - "name": "speedupTarget", - "module": "Semantics.GeneticGroundUp" - }, - { - "kind": "module", - "id": "Semantics.GeneticOptimizerVerification", - "name": "GeneticOptimizerVerification", - "path": "Semantics/GeneticOptimizerVerification.lean", - "namespace": "Semantics.GeneticOptimizerVerification", - "doc": "GeneticOptimizerVerification.lean \u2014 Formal Verification of Genetic Basis Optimizer Invariants This module formalizes the statistical context blending operations used in the genetic basis optimizer. It verifies the mathematical invariants of our search space priors using Lean 4 and ensures strict co", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 9, - "struct_count": 0, - "inductive_count": 0, - "line_count": 235 - }, - { - "kind": "theorem", - "id": "Semantics.GeneticOptimizerVerification.add_zero_of_nonneg", - "name": "add_zero_of_nonneg", - "module": "Semantics.GeneticOptimizerVerification" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticOptimizerVerification.zero_add_of_nonneg", - "name": "zero_add_of_nonneg", - "module": "Semantics.GeneticOptimizerVerification" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticOptimizerVerification.mul_nonneg_preserves_nonneg", - "name": "mul_nonneg_preserves_nonneg", - "module": "Semantics.GeneticOptimizerVerification" - }, - { - "kind": "theorem", - "id": "Semantics.GeneticOptimizerVerification.emptyCountsBlendedProbability", - "name": "emptyCountsBlendedProbability", - "module": "Semantics.GeneticOptimizerVerification" - }, - { - "kind": "def", - "id": "Semantics.GeneticOptimizerVerification.basisLength", - "name": "basisLength", - "module": "Semantics.GeneticOptimizerVerification" - }, - { - "kind": "def", - "id": "Semantics.GeneticOptimizerVerification.prior", - "name": "prior", - "module": "Semantics.GeneticOptimizerVerification" - }, - { - "kind": "def", - "id": "Semantics.GeneticOptimizerVerification.exactPriorSum", - "name": "exactPriorSum", - "module": "Semantics.GeneticOptimizerVerification" - }, - { - "kind": "def", - "id": "Semantics.GeneticOptimizerVerification.blendTransition", - "name": "blendTransition", - "module": "Semantics.GeneticOptimizerVerification" - }, - { - "kind": "def", - "id": "Semantics.GeneticOptimizerVerification.blendProbability", - "name": "blendProbability", - "module": "Semantics.GeneticOptimizerVerification" - }, - { - "kind": "def", - "id": "Semantics.GeneticOptimizerVerification.sampleBasis", - "name": "sampleBasis", - "module": "Semantics.GeneticOptimizerVerification" - }, - { - "kind": "def", - "id": "Semantics.GeneticOptimizerVerification.testPriorCalculation", - "name": "testPriorCalculation", - "module": "Semantics.GeneticOptimizerVerification" - }, - { - "kind": "def", - "id": "Semantics.GeneticOptimizerVerification.testExactPriorSum", - "name": "testExactPriorSum", - "module": "Semantics.GeneticOptimizerVerification" - }, - { - "kind": "def", - "id": "Semantics.GeneticOptimizerVerification.testIEEE754Boundary", - "name": "testIEEE754Boundary", - "module": "Semantics.GeneticOptimizerVerification" - }, - { - "kind": "module", - "id": "Semantics.GeneticsPromotionGate", - "name": "GeneticsPromotionGate", - "path": "Semantics/GeneticsPromotionGate.lean", - "namespace": "Semantics.GeneticsPromotionGate", - "doc": "GeneticsPromotionGate.lean \u2014 Mass Number Gate for Genetics Model Promotion Wires the core MassNumber admissibility gate into genetics-specific promotion. Every genetics model must pass this gate before being promoted from REGISTRY_ONLY \u2192 CANONICAL_PLUMBED. Gate criteria: 1. MassLeDefault (admissib", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 21, - "struct_count": 1, - "inductive_count": 1, - "line_count": 296 - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.defaultClaim", - "name": "defaultClaim", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.admissibleReduction", - "name": "admissibleReduction", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.residualRisk", - "name": "residualRisk", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.geneticsPromotionGate", - "name": "geneticsPromotionGate", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.biologicalEquivalenceWarden", - "name": "biologicalEquivalenceWarden", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.geneticCodeClaim", - "name": "geneticCodeClaim", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.codonOTOMClaim", - "name": "codonOTOMClaim", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.peptideMoEClaim", - "name": "peptideMoEClaim", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.genomicCompressionClaim", - "name": "genomicCompressionClaim", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.syntheticGeneticCodingClaim", - "name": "syntheticGeneticCodingClaim", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.geneticGroundUpClaim", - "name": "geneticGroundUpClaim", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.hachimojiClaim", - "name": "hachimojiClaim", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.codonPeptideConsistencyClaim", - "name": "codonPeptideConsistencyClaim", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.allelicaClaim", - "name": "allelicaClaim", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.auditCanonicalModels", - "name": "auditCanonicalModels", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.registryOnlyClaim", - "name": "registryOnlyClaim", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.auditRegistryOnlyModels", - "name": "auditRegistryOnlyModels", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.conservativeThreshold", - "name": "conservativeThreshold", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.defaultThreshold", - "name": "defaultThreshold", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "def", - "id": "Semantics.GeneticsPromotionGate.generousThreshold", - "name": "generousThreshold", - "module": "Semantics.GeneticsPromotionGate" - }, - { - "kind": "module", - "id": "Semantics.Genome18", - "name": "Genome18", - "path": "Semantics/Genome18.lean", - "namespace": "Semantics", - "doc": "Structure: 6 bins \u00d7 3 bits = 18 bits (8^6 = 262,144 states) Bin meanings: muBin: mutation / drift bin (routing load) rhoBin: verification pressure bin (routing efficiency) cBin: connectance bin (geometry / route neighborhood) mBin: compression residue / modularity bin (entropy) neBin: observer mass", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 2, - "struct_count": 1, - "inductive_count": 0, - "line_count": 91 - }, - { - "kind": "theorem", - "id": "Semantics.Genome18.addr_injective", - "name": "addr_injective", - "module": "Semantics.Genome18" - }, - { - "kind": "theorem", - "id": "Semantics.Genome18.addr_range", - "name": "addr_range", - "module": "Semantics.Genome18" - }, - { - "kind": "def", - "id": "Semantics.Genome18.addr", - "name": "addr", - "module": "Semantics.Genome18" - }, - { - "kind": "def", - "id": "Semantics.Genome18.default", - "name": "default", - "module": "Semantics.Genome18" - }, - { - "kind": "module", - "id": "Semantics.GenomicCompression.Components", - "name": "Components", - "path": "Semantics/GenomicCompression/Components.lean", - "namespace": "Semantics.GenomicCompression", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GenomicCompression.Components.lean \u2014 Component Structures for Genomic Compression This module contains the component structures for the genomic compression field, including NormalizedComponents (normal", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 3, - "inductive_count": 0, - "line_count": 128 - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Components.cpgIslandDefault", - "name": "cpgIslandDefault", - "module": "Semantics.GenomicCompression.Components" - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Components.codingRegionDefault", - "name": "codingRegionDefault", - "module": "Semantics.GenomicCompression.Components" - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Components.dnaMethylationDefault", - "name": "dnaMethylationDefault", - "module": "Semantics.GenomicCompression.Components" - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Components.proteinStructureDefault", - "name": "proteinStructureDefault", - "module": "Semantics.GenomicCompression.Components" - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Components.totalWeight", - "name": "totalWeight", - "module": "Semantics.GenomicCompression.Components" - }, - { - "kind": "module", - "id": "Semantics.GenomicCompression.Compression", - "name": "Compression", - "path": "Semantics/GenomicCompression/Compression.lean", - "namespace": "Semantics.GenomicCompression", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GenomicCompression.Compression.lean \u2014 Compression Operations for Genomic Data This module contains the compression functions for genomic data, including windowed compression, protein structure compress", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 0, - "inductive_count": 0, - "line_count": 108 - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Compression.compressionRatioSI", - "name": "compressionRatioSI", - "module": "Semantics.GenomicCompression.Compression" - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Compression.compressionPercentage", - "name": "compressionPercentage", - "module": "Semantics.GenomicCompression.Compression" - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Compression.compressWindow", - "name": "compressWindow", - "module": "Semantics.GenomicCompression.Compression" - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Compression.compressDNAWindows", - "name": "compressDNAWindows", - "module": "Semantics.GenomicCompression.Compression" - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Compression.compressProtein", - "name": "compressProtein", - "module": "Semantics.GenomicCompression.Compression" - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Compression.compressGRN", - "name": "compressGRN", - "module": "Semantics.GenomicCompression.Compression" - }, - { - "kind": "module", - "id": "Semantics.GenomicCompression.Field", - "name": "Field", - "path": "Semantics/GenomicCompression/Field.lean", - "namespace": "Semantics.GenomicCompression", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GenomicCompression.Field.lean \u2014 Unified Field Functions for Genomic Compression This module contains the unified field computation functions for genomic compression, including phiGenomic, effective ent", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 62 - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Field.phiGenomicRaw", - "name": "phiGenomicRaw", - "module": "Semantics.GenomicCompression.Field" - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Field.phiGenomic", - "name": "phiGenomic", - "module": "Semantics.GenomicCompression.Field" - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Field.effectiveEntropy", - "name": "effectiveEntropy", - "module": "Semantics.GenomicCompression.Field" - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.Field.effectiveInfo", - "name": "effectiveInfo", - "module": "Semantics.GenomicCompression.Field" - }, - { - "kind": "module", - "id": "Semantics.GenomicCompression.NonDriftProof", - "name": "NonDriftProof", - "path": "Semantics/GenomicCompression/NonDriftProof.lean", - "namespace": "Semantics.GenomicCompression", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GenomicCompression.NonDriftProof.lean \u2014 Non-Drift Proof for Genomic Compression This module contains the formal proof that the transformation from the original to the refined formulation is mathematica", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 2, - "struct_count": 2, - "inductive_count": 0, - "line_count": 398 - }, - { - "kind": "theorem", - "id": "Semantics.GenomicCompression.NonDriftProof.originalViolatesBoundedness", - "name": "originalViolatesBoundedness", - "module": "Semantics.GenomicCompression.NonDriftProof" - }, - { - "kind": "theorem", - "id": "Semantics.GenomicCompression.NonDriftProof.originalHasSignError", - "name": "originalHasSignError", - "module": "Semantics.GenomicCompression.NonDriftProof" - }, - { - "kind": "theorem", - "id": "Semantics.GenomicCompression.NonDriftProof.refinedSatisfiesBoundedness", - "name": "refinedSatisfiesBoundedness", - "module": "Semantics.GenomicCompression.NonDriftProof" - }, - { - "kind": "theorem", - "id": "Semantics.GenomicCompression.NonDriftProof.refinedCorrectEntropySignRaw", - "name": "refinedCorrectEntropySignRaw", - "module": "Semantics.GenomicCompression.NonDriftProof" - }, - { - "kind": "theorem", - "id": "Semantics.GenomicCompression.NonDriftProof.transformationIsDerivable", - "name": "transformationIsDerivable", - "module": "Semantics.GenomicCompression.NonDriftProof" - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.NonDriftProof.phiOriginal", - "name": "phiOriginal", - "module": "Semantics.GenomicCompression.NonDriftProof" - }, - { - "kind": "def", - "id": "Semantics.GenomicCompression.NonDriftProof.phiRefined", - "name": "phiRefined", - "module": "Semantics.GenomicCompression.NonDriftProof" - }, - { - "kind": "module", - "id": "Semantics.GenomicCompression.Theorems", - "name": "Theorems", - "path": "Semantics/GenomicCompression/Theorems.lean", - "namespace": "Semantics.GenomicCompression", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GenomicCompression.Theorems.lean \u2014 Theorems for Genomic Compression This module contains theorems about the genomic compression field, including boundedness properties and monotonicity results. Per AG", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 0, - "struct_count": 0, - "inductive_count": 0, - "line_count": 134 - }, - { - "kind": "theorem", - "id": "Semantics.GenomicCompression.Theorems.phiGenomicBounded", - "name": "phiGenomicBounded", - "module": "Semantics.GenomicCompression.Theorems" - }, - { - "kind": "theorem", - "id": "Semantics.GenomicCompression.Theorems.hierarchyImprovesPhiRaw", - "name": "hierarchyImprovesPhiRaw", - "module": "Semantics.GenomicCompression.Theorems" - }, - { - "kind": "theorem", - "id": "Semantics.GenomicCompression.Theorems.compressionEfficiencyBounded", - "name": "compressionEfficiencyBounded", - "module": "Semantics.GenomicCompression.Theorems" - }, - { - "kind": "module", - "id": "Semantics.GenomicCompression.Types", - "name": "Types", - "path": "Semantics/GenomicCompression/Types.lean", - "namespace": "Semantics.GenomicCompression", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GenomicCompression.Types.lean \u2014 Basic Types for Genomic Compression This module contains the fundamental type definitions for genomic compression, including nucleotides, DNA sequences, amino acids, pro", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 0, - "struct_count": 9, - "inductive_count": 2, - "line_count": 123 - }, - { - "kind": "module", - "id": "Semantics.GenomicCompression", - "name": "GenomicCompression", - "path": "Semantics/GenomicCompression.lean", - "namespace": "Semantics.GenomicCompression", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GenomicCompression.lean \u2014 Orchestrator for Genomic Compression Modules This module serves as the orchestrator for the Genomic Compression framework, importing and re-exporting all core sub-modules for ", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 0, - "struct_count": 0, - "inductive_count": 0, - "line_count": 78 - }, - { - "kind": "module", - "id": "Semantics.Genus1MengerEmbedding", - "name": "Genus1MengerEmbedding", - "path": "Semantics/Genus1MengerEmbedding.lean", - "namespace": "Semantics.Genus1MengerEmbedding", - "doc": "Genus1MengerEmbedding.lean -- Menger Sponge Embedded at Level 0 of 16D Genus-1 Model The user corrects our approach: instead of building a standalone topology extension, embed the Menger sponge's mathematical facts into the EXISTING 16D genus-1 model at level 0. Key insight: The 16D model (Q16_16 ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 16, - "def_count": 12, - "struct_count": 0, - "inductive_count": 0, - "line_count": 361 - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.for", - "name": "for", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.levelZeroSharedCell", - "name": "levelZeroSharedCell", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.lanePeriodIsProduct", - "name": "lanePeriodIsProduct", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.voidFractionAsSubdivisionPower", - "name": "voidFractionAsSubdivisionPower", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.mengerLevel0Torsion", - "name": "mengerLevel0Torsion", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.mengerLevel3Torsion", - "name": "mengerLevel3Torsion", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.mengerLevel4Torsion", - "name": "mengerLevel4Torsion", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.mengerRatioMapsToTorusPhase", - "name": "mengerRatioMapsToTorusPhase", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.volumeCollapseAtK5", - "name": "volumeCollapseAtK5", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.volumeCollapseBounded", - "name": "volumeCollapseBounded", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.surfaceAreaExplosionAtK5", - "name": "surfaceAreaExplosionAtK5", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.growthFactorPositive", - "name": "growthFactorPositive", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.universalCurveLevel0", - "name": "universalCurveLevel0", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.avmTraceIsDiscreteEmbeddingK3", - "name": "avmTraceIsDiscreteEmbeddingK3", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.scaleAtK5IsCorrect", - "name": "scaleAtK5IsCorrect", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "theorem", - "id": "Semantics.Genus1MengerEmbedding.q16BridgeIsDomainAgnostic", - "name": "q16BridgeIsDomainAgnostic", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "def", - "id": "Semantics.Genus1MengerEmbedding.levelZeroMengerVolume", - "name": "levelZeroMengerVolume", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "def", - "id": "Semantics.Genus1MengerEmbedding.levelZeroMengerSurfaceArea", - "name": "levelZeroMengerSurfaceArea", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "def", - "id": "Semantics.Genus1MengerEmbedding.levelZeroEulerCharacteristic", - "name": "levelZeroEulerCharacteristic", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "def", - "id": "Semantics.Genus1MengerEmbedding.levelZeroFirstBettiNumber", - "name": "levelZeroFirstBettiNumber", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "def", - "id": "Semantics.Genus1MengerEmbedding.mengerSubdivisionFactor", - "name": "mengerSubdivisionFactor", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "def", - "id": "Semantics.Genus1MengerEmbedding.torusCycleCount", - "name": "torusCycleCount", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "def", - "id": "Semantics.Genus1MengerEmbedding.c1c2LanePeriod", - "name": "c1c2LanePeriod", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "def", - "id": "Semantics.Genus1MengerEmbedding.mengerLevelToTorsionStep", - "name": "mengerLevelToTorsionStep", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "def", - "id": "Semantics.Genus1MengerEmbedding.mengerVolumeAtK5", - "name": "mengerVolumeAtK5", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "def", - "id": "Semantics.Genus1MengerEmbedding.threeAdicScaleQ16", - "name": "threeAdicScaleQ16", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "def", - "id": "Semantics.Genus1MengerEmbedding.scaleAtK5Q16", - "name": "scaleAtK5Q16", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "def", - "id": "Semantics.Genus1MengerEmbedding.genus1MengerEmbeddingStatus", - "name": "genus1MengerEmbeddingStatus", - "module": "Semantics.Genus1MengerEmbedding" - }, - { - "kind": "module", - "id": "Semantics.GeometricCompressionWorkspace", - "name": "GeometricCompressionWorkspace", - "path": "Semantics/GeometricCompressionWorkspace.lean", - "namespace": "Semantics.GeometricCompressionWorkspace", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GeometricCompressionWorkspace.lean \u2014 Four-Zone Workspace for LLM Search This module implements the concrete workspace where source objects are projected into Q0_64 coding atoms, embedded into geometric", - "math_kind": "rrc", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 20, - "struct_count": 18, - "inductive_count": 3, - "line_count": 963 - }, - { - "kind": "theorem", - "id": "Semantics.GeometricCompressionWorkspace.promoteTrial_preserves_receipt_gate", - "name": "promoteTrial_preserves_receipt_gate", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "theorem", - "id": "Semantics.GeometricCompressionWorkspace.promoteTrialLedger_preserves_invariant", - "name": "promoteTrialLedger_preserves_invariant", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "theorem", - "id": "Semantics.GeometricCompressionWorkspace.projectionOrdering", - "name": "projectionOrdering", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.projectToCoding", - "name": "projectToCoding", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.codingFromRatio", - "name": "codingFromRatio", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.embedToSurface2D", - "name": "embedToSurface2D", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.makePerturbation", - "name": "makePerturbation", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.identityCollapse", - "name": "identityCollapse", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.lowRankCollapseTemplate", - "name": "lowRankCollapseTemplate", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.runDpglAudit", - "name": "runDpglAudit", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.wardenValidate", - "name": "wardenValidate", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.runBenchmark", - "name": "runBenchmark", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.voxel3DToNVoxel", - "name": "voxel3DToNVoxel", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.proposeRepairForPattern", - "name": "proposeRepairForPattern", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.classifyWardenEmission", - "name": "classifyWardenEmission", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.buildAutopoiesis", - "name": "buildAutopoiesis", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.hasProofReceipt", - "name": "hasProofReceipt", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.promoteTrial", - "name": "promoteTrial", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.promoteTrialLedger", - "name": "promoteTrialLedger", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.runAdversarialTrial", - "name": "runAdversarialTrial", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.titanWaveHeight", - "name": "titanWaveHeight", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.lavaWaveHeight", - "name": "lavaWaveHeight", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "def", - "id": "Semantics.GeometricCompressionWorkspace.testVoxel3D", - "name": "testVoxel3D", - "module": "Semantics.GeometricCompressionWorkspace" - }, - { - "kind": "module", - "id": "Semantics.GeometricTopology", - "name": "GeometricTopology", - "path": "Semantics/GeometricTopology.lean", - "namespace": "Semantics.GeometricTopology", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GeometricTopology.lean \u2014 Substrate-Agnostic Manifold Topology The topology is not a graph of nodes and edges. It is a geometric manifold: one continuous hypershape embedded in n-space. Every point is ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 14, - "struct_count": 3, - "inductive_count": 0, - "line_count": 230 - }, - { - "kind": "theorem", - "id": "Semantics.GeometricTopology.flatMetricNotShore", - "name": "flatMetricNotShore", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "theorem", - "id": "Semantics.GeometricTopology.chartOriginIsCenter", - "name": "chartOriginIsCenter", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "theorem", - "id": "Semantics.GeometricTopology.singleChartNoQuorum", - "name": "singleChartNoQuorum", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "def", - "id": "Semantics.GeometricTopology.chartOrigin", - "name": "chartOrigin", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "def", - "id": "Semantics.GeometricTopology.flatMetric", - "name": "flatMetric", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "def", - "id": "Semantics.GeometricTopology.metricDet", - "name": "metricDet", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "def", - "id": "Semantics.GeometricTopology.infiniteShoreEquation", - "name": "infiniteShoreEquation", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "def", - "id": "Semantics.GeometricTopology.isShoreChart", - "name": "isShoreChart", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "def", - "id": "Semantics.GeometricTopology.atlasCoversPoint", - "name": "atlasCoversPoint", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "def", - "id": "Semantics.GeometricTopology.atlasEquivalent", - "name": "atlasEquivalent", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "def", - "id": "Semantics.GeometricTopology.geodesicStep", - "name": "geodesicStep", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "def", - "id": "Semantics.GeometricTopology.geodesicDistance", - "name": "geodesicDistance", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "def", - "id": "Semantics.GeometricTopology.geometricQuorum", - "name": "geometricQuorum", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "def", - "id": "Semantics.GeometricTopology.earthChart", - "name": "earthChart", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "def", - "id": "Semantics.GeometricTopology.marsChart", - "name": "marsChart", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "def", - "id": "Semantics.GeometricTopology.plutoChart", - "name": "plutoChart", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "def", - "id": "Semantics.GeometricTopology.solarSystemAtlas", - "name": "solarSystemAtlas", - "module": "Semantics.GeometricTopology" - }, - { - "kind": "module", - "id": "Semantics.Geometry.Behavioral", - "name": "Behavioral", - "path": "Semantics/Geometry/Behavioral.lean", - "namespace": "Semantics.Geometry.Behavioral", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team Behavioral.lean \u2014 Behavioral distance on the 31-dimensional equation manifold. Domain-weighted L1 metric for measuring distance between behavioral points.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 6, - "struct_count": 0, - "inductive_count": 0, - "line_count": 140 - }, - { - "kind": "theorem", - "id": "Semantics.Geometry.Behavioral.behavioralDistanceSelfZeroOne", - "name": "behavioralDistanceSelfZeroOne", - "module": "Semantics.Geometry.Behavioral" - }, - { - "kind": "theorem", - "id": "Semantics.Geometry.Behavioral.behavioralDistanceZeroToTwo", - "name": "behavioralDistanceZeroToTwo", - "module": "Semantics.Geometry.Behavioral" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Behavioral.domainOf", - "name": "domainOf", - "module": "Semantics.Geometry.Behavioral" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Behavioral.domainWeight", - "name": "domainWeight", - "module": "Semantics.Geometry.Behavioral" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Behavioral.BehavioralPoint", - "name": "BehavioralPoint", - "module": "Semantics.Geometry.Behavioral" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Behavioral.behavioralDistanceL1", - "name": "behavioralDistanceL1", - "module": "Semantics.Geometry.Behavioral" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Behavioral.midpoint", - "name": "midpoint", - "module": "Semantics.Geometry.Behavioral" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Behavioral.onGeodesic", - "name": "onGeodesic", - "module": "Semantics.Geometry.Behavioral" - }, - { - "kind": "module", - "id": "Semantics.Geometry.BehavioralBind", - "name": "BehavioralBind", - "path": "Semantics/Geometry/BehavioralBind.lean", - "namespace": "Semantics.Geometry.BehavioralBind", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team BehavioralBind.lean \u2014 geometric_bind instance for behavioral distance. Lawful check, cost function, and invariant extractor for the behavioral manifold navigation primitive.", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 68 - }, - { - "kind": "def", - "id": "Semantics.Geometry.BehavioralBind.behavioralLawful", - "name": "behavioralLawful", - "module": "Semantics.Geometry.BehavioralBind" - }, - { - "kind": "def", - "id": "Semantics.Geometry.BehavioralBind.behavioralCost", - "name": "behavioralCost", - "module": "Semantics.Geometry.BehavioralBind" - }, - { - "kind": "def", - "id": "Semantics.Geometry.BehavioralBind.behavioralInvariant", - "name": "behavioralInvariant", - "module": "Semantics.Geometry.BehavioralBind" - }, - { - "kind": "def", - "id": "Semantics.Geometry.BehavioralBind.resolveGeodesic", - "name": "resolveGeodesic", - "module": "Semantics.Geometry.BehavioralBind" - }, - { - "kind": "module", - "id": "Semantics.Geometry.Cascade", - "name": "Cascade", - "path": "Semantics/Geometry/Cascade.lean", - "namespace": "Semantics.Geometry.Cascade", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team Cascade.lean \u2014 Representation cascade: Tile \u2192 Cube \u2192 ... \u2192 Triangle Dimensional uplift and cost model for constraint propagation.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 6, - "def_count": 10, - "struct_count": 1, - "inductive_count": 1, - "line_count": 188 - }, - { - "kind": "theorem", - "id": "Semantics.Geometry.Cascade.simplexCheaperThanCube", - "name": "simplexCheaperThanCube", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "theorem", - "id": "Semantics.Geometry.Cascade.triangleFewerFacetsThanTile", - "name": "triangleFewerFacetsThanTile", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "theorem", - "id": "Semantics.Geometry.Cascade.triangleCheaperThanTile", - "name": "triangleCheaperThanTile", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "theorem", - "id": "Semantics.Geometry.Cascade.peakGreaterThanPreceding", - "name": "peakGreaterThanPreceding", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "theorem", - "id": "Semantics.Geometry.Cascade.cascadePathLength", - "name": "cascadePathLength", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "theorem", - "id": "Semantics.Geometry.Cascade.cascadeTotalCostEqualsSum", - "name": "cascadeTotalCostEqualsSum", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Cascade.simplexCost", - "name": "simplexCost", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Cascade.cubeCost", - "name": "cubeCost", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Cascade.xorAllFacets", - "name": "xorAllFacets", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Cascade.uplift", - "name": "uplift", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Cascade.upliftCost", - "name": "upliftCost", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Cascade.stageDim", - "name": "stageDim", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Cascade.stageFacetCount", - "name": "stageFacetCount", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Cascade.stageCost", - "name": "stageCost", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Cascade.cascadePath", - "name": "cascadePath", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "def", - "id": "Semantics.Geometry.Cascade.cascadeTotalCost", - "name": "cascadeTotalCost", - "module": "Semantics.Geometry.Cascade" - }, - { - "kind": "module", - "id": "Semantics.Geometry.CascadeBind", - "name": "CascadeBind", - "path": "Semantics/Geometry/CascadeBind.lean", - "namespace": "Semantics.Geometry.CascadeBind", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CascadeBind.lean \u2014 geometric_bind instance for the representation cascade. Every cascade step (uplift, descent, compose) is a bind with lawful check, cost function, and invariant extractor.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 0, - "inductive_count": 0, - "line_count": 99 - }, - { - "kind": "def", - "id": "Semantics.Geometry.CascadeBind.cascadeLawful", - "name": "cascadeLawful", - "module": "Semantics.Geometry.CascadeBind" - }, - { - "kind": "def", - "id": "Semantics.Geometry.CascadeBind.cascadeCost", - "name": "cascadeCost", - "module": "Semantics.Geometry.CascadeBind" - }, - { - "kind": "def", - "id": "Semantics.Geometry.CascadeBind.cascadeInvariant", - "name": "cascadeInvariant", - "module": "Semantics.Geometry.CascadeBind" - }, - { - "kind": "def", - "id": "Semantics.Geometry.CascadeBind.behavioralLawful", - "name": "behavioralLawful", - "module": "Semantics.Geometry.CascadeBind" - }, - { - "kind": "def", - "id": "Semantics.Geometry.CascadeBind.behavioralCost", - "name": "behavioralCost", - "module": "Semantics.Geometry.CascadeBind" - }, - { - "kind": "def", - "id": "Semantics.Geometry.CascadeBind.behavioralInvariant", - "name": "behavioralInvariant", - "module": "Semantics.Geometry.CascadeBind" - }, - { - "kind": "module", - "id": "Semantics.Geometry.CascadeDescent", - "name": "CascadeDescent", - "path": "Semantics/Geometry/CascadeDescent.lean", - "namespace": "Semantics.Geometry.CascadeDescent", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team CascadeDescent.lean \u2014 Barycentric descent: Triangle \u2192 Tile Composition of triangles into Wang tiles via shared-edge matching.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 4, - "struct_count": 1, - "inductive_count": 0, - "line_count": 153 - }, - { - "kind": "theorem", - "id": "Semantics.Geometry.CascadeDescent.validTriangleCorrect", - "name": "validTriangleCorrect", - "module": "Semantics.Geometry.CascadeDescent" - }, - { - "kind": "theorem", - "id": "Semantics.Geometry.CascadeDescent.descentProducesValid", - "name": "descentProducesValid", - "module": "Semantics.Geometry.CascadeDescent" - }, - { - "kind": "theorem", - "id": "Semantics.Geometry.CascadeDescent.composedTileFacetCount", - "name": "composedTileFacetCount", - "module": "Semantics.Geometry.CascadeDescent" - }, - { - "kind": "def", - "id": "Semantics.Geometry.CascadeDescent.isValidTriangle", - "name": "isValidTriangle", - "module": "Semantics.Geometry.CascadeDescent" - }, - { - "kind": "def", - "id": "Semantics.Geometry.CascadeDescent.composeTile", - "name": "composeTile", - "module": "Semantics.Geometry.CascadeDescent" - }, - { - "kind": "def", - "id": "Semantics.Geometry.CascadeDescent.descendToTriangle", - "name": "descendToTriangle", - "module": "Semantics.Geometry.CascadeDescent" - }, - { - "kind": "def", - "id": "Semantics.Geometry.CascadeDescent.tileOuterEdges", - "name": "tileOuterEdges", - "module": "Semantics.Geometry.CascadeDescent" - }, - { - "kind": "module", - "id": "Semantics.Geometry.ImplicitShellLattice", - "name": "ImplicitShellLattice", - "path": "Semantics/Geometry/ImplicitShellLattice.lean", - "namespace": "Semantics.Geometry", - "doc": "Copyright (c) 2026 Sovereign Stack. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team Implicit Shell Lattice Formalization STL-free manufacturing math based on Xu Song/Wen Chen research. Direct mathematical description \u2192 laser path", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 12, - "struct_count": 3, - "inductive_count": 2, - "line_count": 222 - }, - { - "kind": "def", - "id": "Semantics.Geometry.ImplicitShellLattice.default", - "name": "default", - "module": "Semantics.Geometry.ImplicitShellLattice" - }, - { - "kind": "def", - "id": "Semantics.Geometry.ImplicitShellLattice.toLatticeUV", - "name": "toLatticeUV", - "module": "Semantics.Geometry.ImplicitShellLattice" - }, - { - "kind": "def", - "id": "Semantics.Geometry.ImplicitShellLattice.insideShell", - "name": "insideShell", - "module": "Semantics.Geometry.ImplicitShellLattice" - }, - { - "kind": "def", - "id": "Semantics.Geometry.ImplicitShellLattice.generateHybridToolpath", - "name": "generateHybridToolpath", - "module": "Semantics.Geometry.ImplicitShellLattice" - }, - { - "kind": "def", - "id": "Semantics.Geometry.ImplicitShellLattice.stlMeshSize", - "name": "stlMeshSize", - "module": "Semantics.Geometry.ImplicitShellLattice" - }, - { - "kind": "def", - "id": "Semantics.Geometry.ImplicitShellLattice.implicitSize", - "name": "implicitSize", - "module": "Semantics.Geometry.ImplicitShellLattice" - }, - { - "kind": "def", - "id": "Semantics.Geometry.ImplicitShellLattice.memoryReductionFactor", - "name": "memoryReductionFactor", - "module": "Semantics.Geometry.ImplicitShellLattice" - }, - { - "kind": "def", - "id": "Semantics.Geometry.ImplicitShellLattice.yieldStrengthImprovement", - "name": "yieldStrengthImprovement", - "module": "Semantics.Geometry.ImplicitShellLattice" - }, - { - "kind": "def", - "id": "Semantics.Geometry.ImplicitShellLattice.elongationImprovement", - "name": "elongationImprovement", - "module": "Semantics.Geometry.ImplicitShellLattice" - }, - { - "kind": "def", - "id": "Semantics.Geometry.ImplicitShellLattice.surfaceRoughnessRa", - "name": "surfaceRoughnessRa", - "module": "Semantics.Geometry.ImplicitShellLattice" - }, - { - "kind": "def", - "id": "Semantics.Geometry.ImplicitShellLattice.toShellCell", - "name": "toShellCell", - "module": "Semantics.Geometry.ImplicitShellLattice" - }, - { - "kind": "def", - "id": "Semantics.Geometry.ImplicitShellLattice.shellToNUVMAP", - "name": "shellToNUVMAP", - "module": "Semantics.Geometry.ImplicitShellLattice" - }, - { - "kind": "module", - "id": "Semantics.Github", - "name": "Github", - "path": "Semantics/Github.lean", - "namespace": "Semantics.Github", - "doc": "GithubEvent: Structure for GitHub-side research ingestion.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 1, - "inductive_count": 0, - "line_count": 56 - }, - { - "kind": "def", - "id": "Semantics.Github.githubPolicy", - "name": "githubPolicy", - "module": "Semantics.Github" - }, - { - "kind": "def", - "id": "Semantics.Github.toSourceEvent", - "name": "toSourceEvent", - "module": "Semantics.Github" - }, - { - "kind": "def", - "id": "Semantics.Github.githubInvariant", - "name": "githubInvariant", - "module": "Semantics.Github" - }, - { - "kind": "def", - "id": "Semantics.Github.githubCost", - "name": "githubCost", - "module": "Semantics.Github" - }, - { - "kind": "def", - "id": "Semantics.Github.githubBind", - "name": "githubBind", - "module": "Semantics.Github" - }, - { - "kind": "module", - "id": "Semantics.GlymphaticPumpConstraint", - "name": "GlymphaticPumpConstraint", - "path": "Semantics/GlymphaticPumpConstraint.lean", - "namespace": "Semantics.GlymphaticPumpConstraint", - "doc": "Glymphatic Pump Constraint \u2014 Extraction & Adaptation Source: Neuroscience News (2026-04-28) \u2014 \"Abdominal Movement Flushes Neural Waste\" DOI: [pending] \u2014 Mechanical coupling between abdominal micro-contractions and cerebrospinal fluid (CSF) clearance via hydraulic pressure. Core Finding: The brain ", - "math_kind": "routing", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 10, - "struct_count": 1, - "inductive_count": 1, - "line_count": 233 - }, - { - "kind": "theorem", - "id": "Semantics.GlymphaticPumpConstraint.safeCompressionWhenClearanceDominates", - "name": "safeCompressionWhenClearanceDominates", - "module": "Semantics.GlymphaticPumpConstraint" - }, - { - "kind": "def", - "id": "Semantics.GlymphaticPumpConstraint.microContractionRateHz", - "name": "microContractionRateHz", - "module": "Semantics.GlymphaticPumpConstraint" - }, - { - "kind": "def", - "id": "Semantics.GlymphaticPumpConstraint.glymphaticWaveRateHz", - "name": "glymphaticWaveRateHz", - "module": "Semantics.GlymphaticPumpConstraint" - }, - { - "kind": "def", - "id": "Semantics.GlymphaticPumpConstraint.pumpEfficacyRatio", - "name": "pumpEfficacyRatio", - "module": "Semantics.GlymphaticPumpConstraint" - }, - { - "kind": "def", - "id": "Semantics.GlymphaticPumpConstraint.pumpPhaseDutyCycle", - "name": "pumpPhaseDutyCycle", - "module": "Semantics.GlymphaticPumpConstraint" - }, - { - "kind": "def", - "id": "Semantics.GlymphaticPumpConstraint.safeCompressionWindowSeconds", - "name": "safeCompressionWindowSeconds", - "module": "Semantics.GlymphaticPumpConstraint" - }, - { - "kind": "def", - "id": "Semantics.GlymphaticPumpConstraint.precisionTierForPhase", - "name": "precisionTierForPhase", - "module": "Semantics.GlymphaticPumpConstraint" - }, - { - "kind": "def", - "id": "Semantics.GlymphaticPumpConstraint.compressionMultiplierForPhase", - "name": "compressionMultiplierForPhase", - "module": "Semantics.GlymphaticPumpConstraint" - }, - { - "kind": "def", - "id": "Semantics.GlymphaticPumpConstraint.weightedEffectiveMultiplier", - "name": "weightedEffectiveMultiplier", - "module": "Semantics.GlymphaticPumpConstraint" - }, - { - "kind": "def", - "id": "Semantics.GlymphaticPumpConstraint.standardHydraulicBoundary", - "name": "standardHydraulicBoundary", - "module": "Semantics.GlymphaticPumpConstraint" - }, - { - "kind": "def", - "id": "Semantics.GlymphaticPumpConstraint.glymphaticAdaptationVerdict", - "name": "glymphaticAdaptationVerdict", - "module": "Semantics.GlymphaticPumpConstraint" - }, - { - "kind": "module", - "id": "Semantics.GoldenAngleEncoding", - "name": "GoldenAngleEncoding", - "path": "Semantics/GoldenAngleEncoding.lean", - "namespace": "Semantics.GoldenAngleEncoding", - "doc": "GoldenAngleEncoding.lean \u2014 Golden-Angle Phase Encoding for WaveProbe/WebRTC Surface Sampling Executable fixed-point phase sampling surface. 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"name": "rawPhase", - "module": "Semantics.GoldenAngleEncoding" - }, - { - "kind": "def", - "id": "Semantics.GoldenAngleEncoding.cyclicDiff", - "name": "cyclicDiff", - "module": "Semantics.GoldenAngleEncoding" - }, - { - "kind": "def", - "id": "Semantics.GoldenAngleEncoding.computePhaseDiff", - "name": "computePhaseDiff", - "module": "Semantics.GoldenAngleEncoding" - }, - { - "kind": "module", - "id": "Semantics.GoldenRatioSeparation", - "name": "GoldenRatioSeparation", - "path": "Semantics/GoldenRatioSeparation.lean", - "namespace": "Semantics.GoldenRatioSeparation", - "doc": "GoldenRatioSeparation.lean \u2014 Lemma 3.4 from Bloom-Sawin-Schildkraut-Zhelezov (2026) \"The sum-product conjecture is false for real numbers\" (arXiv: 2605.28781) Lemma 3.4 (Unit Separation): If K is a totally real number field of degree d \u2265 2, and u \u2208 O_K^\u00d7 is a unit such that \u03c6\u207b\u00b9 < |\u03c3\u1d62(u)| < \u03c6 for a", - "math_kind": "number_theory", - "sorry_count": 0, - "theorem_count": 8, - 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"module": "Semantics.GoldenRatioSeparation" - }, - { - "kind": "theorem", - "id": "Semantics.GoldenRatioSeparation.sidon_generator_coprime", - "name": "sidon_generator_coprime", - "module": "Semantics.GoldenRatioSeparation" - }, - { - "kind": "theorem", - "id": "Semantics.GoldenRatioSeparation.singer_density_lt_golden", - "name": "singer_density_lt_golden", - "module": "Semantics.GoldenRatioSeparation" - }, - { - "kind": "theorem", - "id": "Semantics.GoldenRatioSeparation.singer_implies_golden_angle_sidon", - "name": "singer_implies_golden_angle_sidon", - "module": "Semantics.GoldenRatioSeparation" - }, - { - "kind": "def", - "id": "Semantics.GoldenRatioSeparation.goldenRatio", - "name": "goldenRatio", - "module": "Semantics.GoldenRatioSeparation" - }, - { - "kind": "def", - "id": "Semantics.GoldenRatioSeparation.goldenRatioInv", - "name": "goldenRatioInv", - "module": "Semantics.GoldenRatioSeparation" - }, - { - "kind": "def", - "id": "Semantics.GoldenRatioSeparation.goldenRatioSquared", - "name": "goldenRatioSquared", - "module": "Semantics.GoldenRatioSeparation" - }, - { - "kind": "def", - "id": "Semantics.GoldenRatioSeparation.unitSeparated", - "name": "unitSeparated", - "module": "Semantics.GoldenRatioSeparation" - }, - { - "kind": "def", - "id": "Semantics.GoldenRatioSeparation.sidonGenerator", - "name": "sidonGenerator", - "module": "Semantics.GoldenRatioSeparation" - }, - { - "kind": "def", - "id": "Semantics.GoldenRatioSeparation.slotDensityImprovement", - "name": "slotDensityImprovement", - "module": "Semantics.GoldenRatioSeparation" - }, - { - "kind": "def", - "id": "Semantics.GoldenRatioSeparation.singerModulus2", - "name": "singerModulus2", - "module": "Semantics.GoldenRatioSeparation" - }, - { - "kind": "def", - "id": "Semantics.GoldenRatioSeparation.singerCard2", - "name": "singerCard2", - "module": "Semantics.GoldenRatioSeparation" - }, - { - "kind": "module", - "id": "Semantics.GoldenSpiralManifold", - "name": "GoldenSpiralManifold", - "path": "Semantics/GoldenSpiralManifold.lean", - "namespace": "Semantics.GoldenSpiralManifold", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GoldenSpiralManifold.lean \u2014 Centerless Manifold with Golden Spiral Topology Formalizes a centerless mathematical structure where assignment operations spiral outward in a golden ratio configuration. P", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 5, - "struct_count": 3, - "inductive_count": 0, - "line_count": 106 - }, - { - "kind": "theorem", - "id": "Semantics.GoldenSpiralManifold.spiralLayerIncreases", - "name": "spiralLayerIncreases", - "module": "Semantics.GoldenSpiralManifold" - }, - { - "kind": "theorem", - "id": "Semantics.GoldenSpiralManifold.goldenAssignmentLayerNonNeg", - "name": "goldenAssignmentLayerNonNeg", - "module": "Semantics.GoldenSpiralManifold" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralManifold.goldenRatio", - "name": "goldenRatio", - "module": "Semantics.GoldenSpiralManifold" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralManifold.goldenAngleDeg", - "name": "goldenAngleDeg", - "module": "Semantics.GoldenSpiralManifold" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralManifold.spiralCoords", - "name": "spiralCoords", - "module": "Semantics.GoldenSpiralManifold" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralManifold.goldenAssignment", - "name": "goldenAssignment", - "module": "Semantics.GoldenSpiralManifold" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralManifold.initCenterlessManifold", - "name": "initCenterlessManifold", - "module": "Semantics.GoldenSpiralManifold" - }, - { - "kind": "module", - "id": "Semantics.GoldenSpiralNavigation", - "name": "GoldenSpiralNavigation", - "path": "Semantics/GoldenSpiralNavigation.lean", - "namespace": "GoldenSpiral", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550 Golden angle (137.5\u00b0) navigation in equation manifold space for efficient coverage and discovery. Adapted from MOIM's Golden Spiral Navigator for equation-specific use: 1. Golden Angle: \u03b8 = 360\u00b0/\u03c6\u00b2 \u2248 137.5\u00b0 2. Spiral Se", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 14, - "struct_count": 5, - "inductive_count": 0, - "line_count": 231 - }, - { - "kind": "theorem", - "id": "Semantics.GoldenSpiralNavigation.golden_angle_approx_137_5", - "name": "golden_angle_approx_137_5", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralNavigation.goldenAngle", - "name": "goldenAngle", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralNavigation.goldenAngleDegrees", - "name": "goldenAngleDegrees", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralNavigation.spiralToCartesian", - "name": "spiralToCartesian", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralNavigation.cartesianToSpiral", - "name": "cartesianToSpiral", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralNavigation.phinaryToSpiral", - "name": "phinaryToSpiral", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralNavigation.batchPhinaryToSpiral", - "name": "batchPhinaryToSpiral", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralNavigation.manifoldToSpiral", - "name": "manifoldToSpiral", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralNavigation.spiralStep5D", - "name": "spiralStep5D", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralNavigation.initNavigator", - "name": "initNavigator", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralNavigation.advanceNavigator", - "name": "advanceNavigator", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralNavigation.withinRadius", - "name": "withinRadius", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralNavigation.spiralSearch", - "name": "spiralSearch", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralNavigation.spiral_radius_monotonic", - "name": "spiral_radius_monotonic", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "def", - "id": "Semantics.GoldenSpiralNavigation.spiral_angle_increment", - "name": "spiral_angle_increment", - "module": "Semantics.GoldenSpiralNavigation" - }, - { - "kind": "module", - "id": "Semantics.GoormaghtighCert", - "name": "GoormaghtighCert", - "path": "Semantics/GoormaghtighCert.lean", - "namespace": "Semantics.GoormaghtighCert", - "doc": "============================================================ GOORMAGHTIGH CERTIFICATE DATA Machine-generated (or hand-constructed) SOS certificates for the Goormaghtigh collision polynomial. This file contains CONCRETE polynomial data \u2014 the output of the SDP solver, rationalized and imported into ", - "math_kind": "number_theory", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 8, - "struct_count": 0, - "inductive_count": 0, - "line_count": 179 - }, - { - "kind": "def", - "id": "Semantics.GoormaghtighCert.validationCert1", - "name": "validationCert1", - "module": "Semantics.GoormaghtighCert" - }, - { - "kind": "def", - "id": "Semantics.GoormaghtighCert.validationCert2", - "name": "validationCert2", - "module": "Semantics.GoormaghtighCert" - }, - { - "kind": "def", - "id": "Semantics.GoormaghtighCert.validationCert3", - "name": "validationCert3", - "module": "Semantics.GoormaghtighCert" - }, - { - "kind": "def", - "id": "Semantics.GoormaghtighCert.validationCert4", - "name": "validationCert4", - "module": "Semantics.GoormaghtighCert" - }, - { - "kind": "def", - "id": "Semantics.GoormaghtighCert.validationCertWrong", - "name": "validationCertWrong", - "module": "Semantics.GoormaghtighCert" - }, - { - "kind": "def", - "id": "Semantics.GoormaghtighCert.goormaghtighConstraints", - "name": "goormaghtighConstraints", - "module": "Semantics.GoormaghtighCert" - }, - { - "kind": "def", - "id": "Semantics.GoormaghtighCert.goormaghtighTestCert", - "name": "goormaghtighTestCert", - "module": "Semantics.GoormaghtighCert" - }, - { - "kind": "def", - "id": "Semantics.GoormaghtighCert.goormaghtighFullCert", - "name": "goormaghtighFullCert", - "module": "Semantics.GoormaghtighCert" - }, - { - "kind": "module", - "id": "Semantics.GoormaghtighEnumeration", - "name": "GoormaghtighEnumeration", - "path": "Semantics/GoormaghtighEnumeration.lean", - "namespace": "Semantics.GoormaghtighEnumeration", - "doc": "GoormaghtighEnumeration.lean \u2014 Finite enumeration of Goormaghtigh collisions Within the BMS 2008 bounds (x \u2208 [2,90], m \u2208 [3,13]), we prove by exhaustive computation (native_decide) that the ONLY repunit collisions R(x,m) = R(y,n) with x < y are: 1. R(2,5) = R(5,3) = 31 2. R(2,13) = R(90,3) = 819", - "math_kind": "number_theory", - "sorry_count": 0, - "theorem_count": 13, - "def_count": 1, - "struct_count": 0, - "inductive_count": 0, - "line_count": 290 - }, - { - "kind": "theorem", - "id": "Semantics.GoormaghtighEnumeration.repunit_2_5", - "name": "repunit_2_5", - "module": "Semantics.GoormaghtighEnumeration" - }, - { - "kind": "theorem", - "id": "Semantics.GoormaghtighEnumeration.repunit_5_3", - "name": "repunit_5_3", - "module": "Semantics.GoormaghtighEnumeration" - }, - { - "kind": "theorem", - "id": "Semantics.GoormaghtighEnumeration.repunit_2_13", - "name": "repunit_2_13", - "module": "Semantics.GoormaghtighEnumeration" - }, - { - "kind": "theorem", - "id": "Semantics.GoormaghtighEnumeration.repunit_90_3", - "name": "repunit_90_3", - "module": "Semantics.GoormaghtighEnumeration" - }, - { - "kind": "theorem", - "id": "Semantics.GoormaghtighEnumeration.goormaghtigh_col_31", - "name": "goormaghtigh_col_31", - "module": "Semantics.GoormaghtighEnumeration" - }, - { - "kind": "theorem", - "id": "Semantics.GoormaghtighEnumeration.goormaghtigh_col_8191", - "name": "goormaghtigh_col_8191", - "module": "Semantics.GoormaghtighEnumeration" - }, - { - "kind": "theorem", - "id": "Semantics.GoormaghtighEnumeration.goormaghtigh_bounded_uniqueness", - "name": "goormaghtigh_bounded_uniqueness", - "module": "Semantics.GoormaghtighEnumeration" - }, - { - "kind": "theorem", - "id": "Semantics.GoormaghtighEnumeration.goormaghtigh_value_31_or_8191", - "name": "goormaghtigh_value_31_or_8191", - "module": "Semantics.GoormaghtighEnumeration" - }, - { - "kind": "theorem", - "id": "Semantics.GoormaghtighEnumeration.goormaghtigh_conditional", - "name": "goormaghtigh_conditional", - "module": "Semantics.GoormaghtighEnumeration" - }, - { - "kind": "theorem", - "id": "Semantics.GoormaghtighEnumeration.goormaghtigh_x2_n3", - "name": "goormaghtigh_x2_n3", - "module": "Semantics.GoormaghtighEnumeration" - }, - { - "kind": "theorem", - "id": "Semantics.GoormaghtighEnumeration.goormaghtigh_complete", - "name": "goormaghtigh_complete", - "module": "Semantics.GoormaghtighEnumeration" - }, - { - "kind": "theorem", - "id": "Semantics.GoormaghtighEnumeration.goormaghtigh_conjecture", - "name": "goormaghtigh_conjecture", - "module": "Semantics.GoormaghtighEnumeration" - }, - { - "kind": "theorem", - "id": "Semantics.GoormaghtighEnumeration.goormaghtigh_sparse", - "name": "goormaghtigh_sparse", - "module": "Semantics.GoormaghtighEnumeration" - }, - { - "kind": "def", - "id": "Semantics.GoormaghtighEnumeration.repunit", - "name": "repunit", - "module": "Semantics.GoormaghtighEnumeration" - }, - { - "kind": "module", - "id": "Semantics.GossipFlipMessage", - "name": "GossipFlipMessage", - "path": "Semantics/GossipFlipMessage.lean", - "namespace": "Semantics.GossipFlipMessage", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GossipFlipMessage.lean \u2014 Gossip Message Format for QR Tile Flipping Defines the gossip message format for the Gossip-DAG-QR-Go protocol (MATH_MODEL_MAP 0.4.10). Gossip messages trigger tile flips in th", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 9, - "struct_count": 6, - "inductive_count": 4, - "line_count": 263 - }, - { - "kind": "theorem", - "id": "Semantics.GossipFlipMessage.discoveryMessageHasDiscoveryType", - "name": "discoveryMessageHasDiscoveryType", - "module": "Semantics.GossipFlipMessage" - }, - { - "kind": "theorem", - "id": "Semantics.GossipFlipMessage.consensusVoteMessageHasVoteField", - "name": "consensusVoteMessageHasVoteField", - "module": "Semantics.GossipFlipMessage" - }, - { - "kind": "def", - "id": "Semantics.GossipFlipMessage.zero", - "name": "zero", - "module": "Semantics.GossipFlipMessage" - }, - { - "kind": "def", - "id": "Semantics.GossipFlipMessage.one", - "name": "one", - "module": "Semantics.GossipFlipMessage" - }, - { - "kind": "def", - "id": "Semantics.GossipFlipMessage.ofFrac", - "name": "ofFrac", - "module": "Semantics.GossipFlipMessage" - }, - { - "kind": "def", - "id": "Semantics.GossipFlipMessage.createDiscoveryMessage", - "name": "createDiscoveryMessage", - "module": "Semantics.GossipFlipMessage" - }, - { - "kind": "def", - "id": "Semantics.GossipFlipMessage.createHeartbeatMessage", - "name": "createHeartbeatMessage", - "module": "Semantics.GossipFlipMessage" - }, - { - "kind": "def", - "id": "Semantics.GossipFlipMessage.createCredentialSyncMessage", - "name": "createCredentialSyncMessage", - "module": "Semantics.GossipFlipMessage" - }, - { - "kind": "def", - "id": "Semantics.GossipFlipMessage.createReplicateMessage", - "name": "createReplicateMessage", - "module": "Semantics.GossipFlipMessage" - }, - { - "kind": "def", - "id": "Semantics.GossipFlipMessage.createCredentialRotationProposalMessage", - "name": "createCredentialRotationProposalMessage", - "module": "Semantics.GossipFlipMessage" - }, - { - "kind": "def", - "id": "Semantics.GossipFlipMessage.createConsensusVoteMessage", - "name": "createConsensusVoteMessage", - "module": "Semantics.GossipFlipMessage" - }, - { - "kind": "module", - "id": "Semantics.Goxel", - "name": "Goxel", - "path": "Semantics/Goxel.lean", - "namespace": "Semantics.Goxel", - "doc": "Goxel.lean \u2014 bounded geometric-volume packets with witness accounting This module formalizes the current Research Stack \"Goxel\" surface as a finite, receipt-bearing admission model. It intentionally keeps the analytic manifold language at the boundary and gives the build a discrete witness that ca", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 8, - "def_count": 24, - "struct_count": 14, - "inductive_count": 1, - "line_count": 409 - }, - { - "kind": "theorem", - "id": "Semantics.Goxel.origin_inside_example", - "name": "origin_inside_example", - "module": "Semantics.Goxel" - }, - { - "kind": "theorem", - "id": "Semantics.Goxel.boundary_is_boundary_example", - "name": "boundary_is_boundary_example", - "module": "Semantics.Goxel" - }, - { - "kind": "theorem", - "id": "Semantics.Goxel.outside_not_inside_example", - "name": "outside_not_inside_example", - "module": "Semantics.Goxel" - }, - { - "kind": "theorem", - "id": "Semantics.Goxel.example_admissible", - "name": "example_admissible", - "module": "Semantics.Goxel" - }, - { - "kind": "theorem", - "id": "Semantics.Goxel.residual_example", - "name": "residual_example", - "module": "Semantics.Goxel" - }, - { - "kind": "theorem", - "id": "Semantics.Goxel.cost_example", - "name": "cost_example", - "module": "Semantics.Goxel" - }, - { - "kind": "theorem", - "id": "Semantics.Goxel.talagrand_cover_example", - "name": "talagrand_cover_example", - "module": "Semantics.Goxel" - }, - { - "kind": "theorem", - "id": "Semantics.Goxel.bind_admissible_example", - "name": "bind_admissible_example", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.talagrandConvexityAnchor", - "name": "talagrandConvexityAnchor", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.talagrandClaimBoundary", - "name": "talagrandClaimBoundary", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.unitWeights", - "name": "unitWeights", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.goxelPotential", - "name": "goxelPotential", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.insideGoxel", - "name": "insideGoxel", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.GoxelWitness", - "name": "GoxelWitness", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.Goxel", - "name": "Goxel", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.finiteVolumeWitness", - "name": "finiteVolumeWitness", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.nonemptyDomainWitness", - "name": "nonemptyDomainWitness", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.admissibleGoxel", - "name": "admissibleGoxel", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.residualCost", - "name": "residualCost", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.goxelCost", - "name": "goxelCost", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.TalagrandCoverWitness", - "name": "TalagrandCoverWitness", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.mergeDistance", - "name": "mergeDistance", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.bindAdmissible", - "name": "bindAdmissible", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.mergePotential", - "name": "mergePotential", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.GoxelTransition", - "name": "GoxelTransition", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.originPoint", - "name": "originPoint", - "module": "Semantics.Goxel" - }, - { - "kind": "def", - "id": "Semantics.Goxel.boundaryPoint", - "name": "boundaryPoint", - "module": "Semantics.Goxel" - }, - { - "kind": "module", - "id": "Semantics.GoxelGridBus", - "name": "GoxelGridBus", - "path": "Semantics/GoxelGridBus.lean", - "namespace": "Semantics.GoxelGridBus", - "doc": "GoxelGridBus.lean - Goxel grid state machines over an internal serial bus This module makes the goxel workbench idea executable: a goxel field is a series of finite grid-local state machines, and cells communicate by addressed packets carried through the existing braid serial transport surface.", - "math_kind": "routing", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 19, - "struct_count": 4, - "inductive_count": 2, - "line_count": 253 - }, - { - "kind": "theorem", - "id": "Semantics.GoxelGridBus.serialRoundtripPreservesTarget", - "name": "serialRoundtripPreservesTarget", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "theorem", - "id": "Semantics.GoxelGridBus.serialRoundtripPreservesCommand", - "name": "serialRoundtripPreservesCommand", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "theorem", - "id": "Semantics.GoxelGridBus.targetedPacketActivatesAndConsumes", - "name": "targetedPacketActivatesAndConsumes", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "theorem", - "id": "Semantics.GoxelGridBus.unmatchedPacketForwards", - "name": "unmatchedPacketForwards", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "theorem", - "id": "Semantics.GoxelGridBus.holdCommandSetsHoldPhase", - "name": "holdCommandSetsHoldPhase", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.toByte", - "name": "toByte", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.ofByte", - "name": "ofByte", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.zero", - "name": "zero", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.seqNum", - "name": "seqNum", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.fromSeqNum", - "name": "fromSeqNum", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.empty", - "name": "empty", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.idle", - "name": "idle", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.toSerialPacket", - "name": "toSerialPacket", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.byteAt", - "name": "byteAt", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.fromSerialPacket", - "name": "fromSerialPacket", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.encodeFrame", - "name": "encodeFrame", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.decodeFrame", - "name": "decodeFrame", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.applyCommand", - "name": "applyCommand", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.cellBusStep", - "name": "cellBusStep", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.addrOfIndex", - "name": "addrOfIndex", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.mkIdle", - "name": "mkIdle", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.cellAt", - "name": "cellAt", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.routePacket", - "name": "routePacket", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "def", - "id": "Semantics.GoxelGridBus.witnessActivatePacket", - "name": "witnessActivatePacket", - "module": "Semantics.GoxelGridBus" - }, - { - "kind": "module", - "id": "Semantics.GpuDutyAssignment", - "name": "GpuDutyAssignment", - "path": "Semantics/GpuDutyAssignment.lean", - "namespace": "Semantics.GpuDutyAssignment", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GpuDutyAssignment.lean \u2014 GPU Translation Surface Duty Assignment in Lean This module formalizes the GPU translation surface duty assignment system for the swarm, including duty types, assignment, execu", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 13, - "struct_count": 4, - "inductive_count": 2, - "line_count": 221 - }, - { - "kind": "theorem", - "id": "Semantics.GpuDutyAssignment.emptySystemHasNoAssignments", - "name": "emptySystemHasNoAssignments", - "module": "Semantics.GpuDutyAssignment" - }, - { - "kind": "theorem", - "id": "Semantics.GpuDutyAssignment.statisticsEqualsAssignments", - "name": "statisticsEqualsAssignments", - "module": "Semantics.GpuDutyAssignment" - }, - { - "kind": "def", - "id": "Semantics.GpuDutyAssignment.zero", - "name": "zero", - "module": "Semantics.GpuDutyAssignment" - }, - { - "kind": "def", - "id": "Semantics.GpuDutyAssignment.one", - "name": "one", - "module": "Semantics.GpuDutyAssignment" - }, - { - "kind": "def", - "id": "Semantics.GpuDutyAssignment.ofNat", - "name": "ofNat", - "module": "Semantics.GpuDutyAssignment" - }, - { - "kind": "def", - "id": "Semantics.GpuDutyAssignment.toString", - "name": "toString", - "module": "Semantics.GpuDutyAssignment" - }, - { - "kind": "def", - "id": "Semantics.GpuDutyAssignment.empty", - "name": "empty", - "module": "Semantics.GpuDutyAssignment" - }, - { - "kind": "def", - "id": "Semantics.GpuDutyAssignment.assignDuty", - "name": "assignDuty", - "module": "Semantics.GpuDutyAssignment" - }, - { - "kind": "def", - "id": "Semantics.GpuDutyAssignment.startDuty", - "name": "startDuty", - "module": "Semantics.GpuDutyAssignment" - }, - { - "kind": "def", - "id": "Semantics.GpuDutyAssignment.completeDuty", - "name": "completeDuty", - "module": "Semantics.GpuDutyAssignment" - }, - { - "kind": "def", - "id": "Semantics.GpuDutyAssignment.failDuty", - "name": "failDuty", - "module": "Semantics.GpuDutyAssignment" - }, - { - "kind": "def", - "id": "Semantics.GpuDutyAssignment.getPendingDuties", - "name": "getPendingDuties", - "module": "Semantics.GpuDutyAssignment" - }, - { - "kind": "def", - "id": "Semantics.GpuDutyAssignment.getStatistics", - "name": "getStatistics", - "module": "Semantics.GpuDutyAssignment" - }, - { - "kind": "def", - "id": "Semantics.GpuDutyAssignment.createGpuExpert", - "name": "createGpuExpert", - "module": "Semantics.GpuDutyAssignment" - }, - { - "kind": "module", - "id": "Semantics.GradientPathMap", - "name": "GradientPathMap", - "path": "Semantics/GradientPathMap.lean", - "namespace": "Semantics.GradientPathMap", - "doc": "# Gradient Path Map This module keeps the equation-forest gradient surface finite and proof-checkable. The former sketch used strings, float conversions, and `sorry`-backed claims. This version uses finite node/type identifiers and milli-units for gradient/cost values.", - "math_kind": "routing", - "sorry_count": 1, - "theorem_count": 11, - "def_count": 18, - "struct_count": 3, - "inductive_count": 2, - "line_count": 219 - }, - { - "kind": "theorem", - "id": "Semantics.GradientPathMap.pathCost_eq_totalGradient", - "name": "pathCost_eq_totalGradient", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "theorem", - "id": "Semantics.GradientPathMap.emptyPathZeroGradient", - "name": "emptyPathZeroGradient", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "theorem", - "id": "Semantics.GradientPathMap.lawfulConnectionCost_le_unit", - "name": "lawfulConnectionCost_le_unit", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "theorem", - "id": "Semantics.GradientPathMap.samplePathsLawful", - "name": "samplePathsLawful", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "theorem", - "id": "Semantics.GradientPathMap.forestMapHasConnections", - "name": "forestMapHasConnections", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "theorem", - "id": "Semantics.GradientPathMap.forestMapPathsLawful", - "name": "forestMapPathsLawful", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "theorem", - "id": "Semantics.GradientPathMap.samplePathZero_cost_eq_600", - "name": "samplePathZero_cost_eq_600", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "theorem", - "id": "Semantics.GradientPathMap.mofPath2_cost_eq_600", - "name": "mofPath2_cost_eq_600", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "theorem", - "id": "Semantics.GradientPathMap.mofPath3_cost_eq_150", - "name": "mofPath3_cost_eq_150", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "theorem", - "id": "Semantics.GradientPathMap.affinePath4_cost_eq_550", - "name": "affinePath4_cost_eq_550", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "theorem", - "id": "Semantics.GradientPathMap.affinePath5_cost_eq_200", - "name": "affinePath5_cost_eq_200", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.equationConnectionLawful", - "name": "equationConnectionLawful", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.equationConnectionBind", - "name": "equationConnectionBind", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.equationConnectionCost", - "name": "equationConnectionCost", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.gradientPathLawful", - "name": "gradientPathLawful", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.gradientPathBind", - "name": "gradientPathBind", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.computeTotalGradientChange", - "name": "computeTotalGradientChange", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.gradientPathCost", - "name": "gradientPathCost", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.couchToFrame", - "name": "couchToFrame", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.loadToCognitive", - "name": "loadToCognitive", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.pressureToHugoniot", - "name": "pressureToHugoniot", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.mof2eCO_to_6eCH3OH", - "name": "mof2eCO_to_6eCH3OH", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.mof6eCH3OH_to_8eCH4", - "name": "mof6eCH3OH_to_8eCH4", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.mof2eHCOOH_to_2eCO", - "name": "mof2eHCOOH_to_2eCO", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.affineLinear_to_decomposition", - "name": "affineLinear_to_decomposition", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.affineDecomposition_to_periodic", - "name": "affineDecomposition_to_periodic", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.affinePeriodic_to_scaled", - "name": "affinePeriodic_to_scaled", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.sampleForestPaths", - "name": "sampleForestPaths", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "def", - "id": "Semantics.GradientPathMap.forestGradientPathMap", - "name": "forestGradientPathMap", - "module": "Semantics.GradientPathMap" - }, - { - "kind": "module", - "id": "Semantics.Graph", - "name": "Graph", - "path": "Semantics/Graph.lean", - "namespace": "Semantics.ENE", - "doc": "Endless Node Edges (ENE) Graph Database", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 10, - "struct_count": 4, - "inductive_count": 3, - "line_count": 169 - }, - { - "kind": "def", - "id": "Semantics.Graph.Graph", - "name": "Graph", - "module": "Semantics.Graph" - }, - { - "kind": "def", - "id": "Semantics.Graph.atomLabel", - "name": "atomLabel", - "module": "Semantics.Graph" - }, - { - "kind": "module", - "id": "Semantics.GraphRank", - "name": "GraphRank", - "path": "Semantics/GraphRank.lean", - "namespace": "Semantics.GraphRank", - "doc": "# GraphRank \u2014 Spectral-gap-gated ranking on social graphs Maps the PageRank/HITS/Fiedler/PPR mathematical lineage onto the 8-bin Sidon spectral space from `Semantics.Spectrum`. The central claim: a \"bad link\" is any edge whose `piecewiseMerge` result fails `verifySpectralGap`. This corresponds to ", - "math_kind": "fixedpoint", - "sorry_count": 1, - "theorem_count": 4, - "def_count": 15, - "struct_count": 3, - "inductive_count": 1, - "line_count": 196 - }, - { - "kind": "theorem", - "id": "Semantics.GraphRank.badLink_decidable", - "name": "badLink_decidable", - "module": "Semantics.GraphRank" - }, - { - "kind": "theorem", - "id": "Semantics.GraphRank.isClean_decidable", - "name": "isClean_decidable", - "module": "Semantics.GraphRank" - }, - { - "kind": "theorem", - "id": "Semantics.GraphRank.activeBins_empty", - "name": "activeBins_empty", - "module": "Semantics.GraphRank" - }, - { - "kind": "theorem", - "id": "Semantics.GraphRank.cleanMerge_preservesGap", - "name": "cleanMerge_preservesGap", - "module": "Semantics.GraphRank" - }, - { - "kind": "def", - "id": "Semantics.GraphRank.SocialGraph", - "name": "SocialGraph", - "module": "Semantics.GraphRank" - }, - { - "kind": "def", - "id": "Semantics.GraphRank.maxActiveBins", - "name": "maxActiveBins", - "module": "Semantics.GraphRank" - }, - { - "kind": "def", - "id": "Semantics.GraphRank.badLink", - "name": "badLink", - "module": "Semantics.GraphRank" - }, - { - "kind": "def", - "id": "Semantics.GraphRank.pprStep", - "name": "pprStep", - "module": "Semantics.GraphRank" - }, - { - "kind": "def", - "id": "Semantics.GraphRank.initScores", - "name": "initScores", - "module": "Semantics.GraphRank" - }, - { - "kind": "def", - "id": "Semantics.GraphRank.pprRun", - "name": "pprRun", - "module": "Semantics.GraphRank" - }, - { - "kind": "def", - "id": "Semantics.GraphRank.modeScore", - "name": "modeScore", - "module": "Semantics.GraphRank" - }, - { - "kind": "def", - "id": "Semantics.GraphRank.spectralScore", - "name": "spectralScore", - "module": "Semantics.GraphRank" - }, - { - "kind": "def", - "id": "Semantics.GraphRank.insertDesc", - "name": "insertDesc", - "module": "Semantics.GraphRank" - }, - { - "kind": "def", - "id": "Semantics.GraphRank.sortDesc", - "name": "sortDesc", - "module": "Semantics.GraphRank" - }, - { - "kind": "def", - "id": "Semantics.GraphRank.rankNodes", - "name": "rankNodes", - "module": "Semantics.GraphRank" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Bridge", - "name": "Bridge", - "path": "Semantics/HCMMR/Bridge.lean", - "namespace": "Semantics.HCMMR.Bridge", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 90 - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Bridge.foldDecision_roundtrip", - "name": "foldDecision_roundtrip", - "module": "Semantics.HCMMR.Bridge" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Bridge.foldDecision_roundtrip_admit", - "name": "foldDecision_roundtrip_admit", - "module": "Semantics.HCMMR.Bridge" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Bridge.foldDecision_roundtrip_reject", - "name": "foldDecision_roundtrip_reject", - "module": "Semantics.HCMMR.Bridge" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Bridge.foldDecision_roundtrip_hold", - "name": "foldDecision_roundtrip_hold", - "module": "Semantics.HCMMR.Bridge" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Bridge.gateVerdictFromFoldDecision", - "name": "gateVerdictFromFoldDecision", - "module": "Semantics.HCMMR.Bridge" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Bridge.foldDecisionFromGateVerdict", - "name": "foldDecisionFromGateVerdict", - "module": "Semantics.HCMMR.Bridge" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Bridge.gateChainFromGateOutcomeList", - "name": "gateChainFromGateOutcomeList", - "module": "Semantics.HCMMR.Bridge" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Bridge.bindMetricToGate", - "name": "bindMetricToGate", - "module": "Semantics.HCMMR.Bridge" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Core", - "name": "Core", - "path": "Semantics/HCMMR/Core.lean", - "namespace": "Semantics.HCMMR.Core", - "doc": "HCMMR Core.lean \u2014 Hyper-CMMR Operadic Meta-Calculus v0.1 typeclass definitions. This is the typeclass and core structure file. Every other HCMMR module depends on these definitions. 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}, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.BoundaryEigenFire.underverseBoundary", - "name": "underverseBoundary", - "module": "Semantics.HCMMR.Kernels.BoundaryEigenFire" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.BoundaryEigenFire.unstoppableForce", - "name": "unstoppableForce", - "module": "Semantics.HCMMR.Kernels.BoundaryEigenFire" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.BoundaryEigenFire.immovableObject", - "name": "immovableObject", - "module": "Semantics.HCMMR.Kernels.BoundaryEigenFire" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.BoundaryEigenFire.throatCollision", - "name": "throatCollision", - "module": "Semantics.HCMMR.Kernels.BoundaryEigenFire" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.BoundaryEigenFire.dim16Field", - "name": "dim16Field", - "module": "Semantics.HCMMR.Kernels.BoundaryEigenFire" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Kernels.EntropyCollapseDetector", - "name": "EntropyCollapseDetector", - 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This module mirrors the canonical arithmetic note: `6-Documentation/docs/distilled/ArithmeticSpec_Corrected_2026-05-11.md`. It intentionally avoids Float/log arithmetic. The logarithmic H", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 6, - "def_count": 28, - "struct_count": 0, - "inductive_count": 0, - "line_count": 130 - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.EntropyCollapseDetector.denseRankTieFixture", - "name": "denseRankTieFixture", - "module": "Semantics.HCMMR.Kernels.EntropyCollapseDetector" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.EntropyCollapseDetector.correctedCrossingCountIs12", - "name": "correctedCrossingCountIs12", - "module": "Semantics.HCMMR.Kernels.EntropyCollapseDetector" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.EntropyCollapseDetector.rawK7FiresButSelectiveK21DoesNot", - "name": "rawK7FiresButSelectiveK21DoesNot", - "module": "Semantics.HCMMR.Kernels.EntropyCollapseDetector" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.EntropyCollapseDetector.d2SumP2NumeratorIs22", - "name": "d2SumP2NumeratorIs22", - "module": "Semantics.HCMMR.Kernels.EntropyCollapseDetector" - 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High frustration suppresses step magnitude; low frustration permits aggressive exploratio", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 6, - "def_count": 7, - "struct_count": 1, - "inductive_count": 0, - "line_count": 105 - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.FAMMScarMemory.famm_gate_name_correct", - "name": "famm_gate_name_correct", - "module": "Semantics.HCMMR.Kernels.FAMMScarMemory" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.FAMMScarMemory.famm_gate_verdict_admits", - "name": "famm_gate_verdict_admits", - "module": "Semantics.HCMMR.Kernels.FAMMScarMemory" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.FAMMScarMemory.fixtureScar_initial_history", - "name": "fixtureScar_initial_history", - "module": "Semantics.HCMMR.Kernels.FAMMScarMemory" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.FAMMScarMemory.fixtureHighScar_history_length", - "name": "fixtureHighScar_history_length", - "module": "Semantics.HCMMR.Kernels.FAMMScarMemory" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.FAMMScarMemory.reset_does_not_change_history_length", - "name": "reset_does_not_change_history_length", - "module": "Semantics.HCMMR.Kernels.FAMMScarMemory" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.FAMMScarMemory.record_extends_history", - "name": "record_extends_history", - "module": "Semantics.HCMMR.Kernels.FAMMScarMemory" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.FAMMScarMemory.fammBias", - "name": "fammBias", - "module": "Semantics.HCMMR.Kernels.FAMMScarMemory" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.FAMMScarMemory.applyFAMMBias", - "name": "applyFAMMBias", - "module": "Semantics.HCMMR.Kernels.FAMMScarMemory" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.FAMMScarMemory.recordScar", - "name": "recordScar", - "module": "Semantics.HCMMR.Kernels.FAMMScarMemory" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.FAMMScarMemory.resetFrustration", - "name": "resetFrustration", - "module": "Semantics.HCMMR.Kernels.FAMMScarMemory" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.FAMMScarMemory.fammMemoryGate", - "name": "fammMemoryGate", - "module": "Semantics.HCMMR.Kernels.FAMMScarMemory" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.FAMMScarMemory.fixtureScar", - "name": "fixtureScar", - "module": "Semantics.HCMMR.Kernels.FAMMScarMemory" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.FAMMScarMemory.fixtureHighScar", - "name": "fixtureHighScar", - "module": "Semantics.HCMMR.Kernels.FAMMScarMemory" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum", - "name": "HyperEigenSpectrum", - "path": "Semantics/HCMMR/Kernels/HyperEigenSpectrum.lean", - "namespace": "Semantics.HCMMR.Kernels.HyperEigenSpectrum", - "doc": "HyperEigenSpectrum.lean \u2014 \u03bb_YAH Scale-Regime Eigenvalue Kernel Defines the \u03bb_YAH (You-Are-Here) hyper-eigenspectrum: a scale-dependent operator whose eigenspectrum encodes the dominant active physics regime of an object at a given observer scale, combining: \u03a9_M \u2014 Menger-like void hierarchy R_K ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 20, - "struct_count": 2, - "inductive_count": 2, - "line_count": 400 - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.BindOperator", - "name": "BindOperator", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.EigenMode", - "name": "EigenMode", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.HyperEigenSpectrum", - "name": "HyperEigenSpectrum", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.sortDescending", - "name": "sortDescending", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.argmax", - "name": "argmax", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.fromBind", - "name": "fromBind", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.fromEigenmassOperator", - "name": "fromEigenmassOperator", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.regimeLabel", - "name": "regimeLabel", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.dominantMode", - "name": "dominantMode", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.hasRegimeShift", - "name": "hasRegimeShift", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.classifyTransition", - "name": "classifyTransition", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.cosmicVoidBind", - "name": "cosmicVoidBind", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.cosmicVoidSpectrum", - "name": "cosmicVoidSpectrum", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.fractureBind", - "name": "fractureBind", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.HyperEigenSpectrum.fractureSpectrum", - "name": "fractureSpectrum", - "module": "Semantics.HCMMR.Kernels.HyperEigenSpectrum" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache", - "name": "PrimeGearCache", - "path": "Semantics/HCMMR/Kernels/PrimeGearCache.lean", - "namespace": "Semantics.HCMMR.Kernels.PrimeGearCache", - "doc": "PrimeGearCache.lean \u2014 Prime exponent compositional caching kernel. Instead of computing every step n from scratch, factor n = \u03a0 p^{v_p(n)} and compose from cached prime-step receipts. \u0394_n = g_field(p_n) \u00d7 \u03a0 (\u0394_p)^{v_p(n)}. Composites are derived, not recomputed.", - "math_kind": "number_theory", - "sorry_count": 0, - "theorem_count": 7, - "def_count": 13, - "struct_count": 2, - "inductive_count": 0, - "line_count": 160 - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.cache_prime_increments_known", - "name": "cache_prime_increments_known", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.cache_duplicate_does_not_increment", - "name": "cache_duplicate_does_not_increment", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.gate_name_correct", - "name": "gate_name_correct", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.fixtureCache_primes_known_two", - "name": "fixtureCache_primes_known_two", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.q16Pow_zero_exp", - "name": "q16Pow_zero_exp", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.q16Pow_one_exp", - "name": "q16Pow_one_exp", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.empty_cache_no_entry", - "name": "empty_cache_no_entry", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.factorize", - "name": "factorize", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.findEntry", - "name": "findEntry", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.q16Pow", - "name": "q16Pow", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.composeFromPrimes", - "name": "composeFromPrimes", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.isCompositeCached", - "name": "isCompositeCached", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.cachePrimeStep", - "name": "cachePrimeStep", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.primeCacheGate", - "name": "primeCacheGate", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.emptyCache", - "name": "emptyCache", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.fixtureEntry2", - "name": "fixtureEntry2", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.fixtureEntry3", - "name": "fixtureEntry3", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.fixtureEntry5", - "name": "fixtureEntry5", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.fixtureCache", - "name": "fixtureCache", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.PrimeGearCache.fixtureCache3", - "name": "fixtureCache3", - "module": "Semantics.HCMMR.Kernels.PrimeGearCache" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep", - "name": "RecamanFieldStep", - "path": "Semantics/HCMMR/Kernels/RecamanFieldStep.lean", - "namespace": "Semantics.HCMMR.Kernels.RecamanFieldStep", - "doc": "RecamanFieldStep.lean \u2014 Recam\u00e1n signed-step reflex kernel for HCMMR field traversal. Recam\u00e1n sequence: a_0=0, a_n = a_{n-1}-n if positive and unused, else a_{n-1}+n. HCMMR mapping: try negative/Underverse step \u2192 if admissible and unoccupied \u2192 commit; else reflect into positive ladder. Each step is ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 6, - "def_count": 12, - "struct_count": 2, - "inductive_count": 0, - "line_count": 151 - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.recaman_gate_name_correct", - "name": "recaman_gate_name_correct", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.recaman_gate_verdict_admits", - "name": "recaman_gate_verdict_admits", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.fixture_step1_index_one", - "name": "fixture_step1_index_one", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.fixture_step2_index_two", - "name": "fixture_step2_index_two", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.fixture_step1_reflected_false", - "name": "fixture_step1_reflected_false", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.fixture_step2_reflected_true", - "name": "fixture_step2_reflected_true", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.recamanFieldStep", - "name": "recamanFieldStep", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.arcFromStep", - "name": "arcFromStep", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.circleIntersectionCheck", - "name": "circleIntersectionCheck", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.cumulativeArcLength", - "name": "cumulativeArcLength", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.recamanGateAdmit", - "name": "recamanGateAdmit", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureStep1", - "name": "fixtureStep1", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureStep2", - "name": "fixtureStep2", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureStep3", - "name": "fixtureStep3", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureArc1", - "name": "fixtureArc1", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureArc2", - "name": "fixtureArc2", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureVisited", - "name": "fixtureVisited", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureGate", - "name": "fixtureGate", - "module": "Semantics.HCMMR.Kernels.RecamanFieldStep" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector", - "name": "SNRAnomalyDetector", - "path": "Semantics/HCMMR/Kernels/SNRAnomalyDetector.lean", - "namespace": "Semantics.HCMMR.Kernels.SNRAnomalyDetector", - "doc": "", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 6, - "def_count": 14, - "struct_count": 1, - "inductive_count": 2, - "line_count": 219 - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.narrowband_spike_admits", - "name": "narrowband_spike_admits", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.noise_floor_rejects", - "name": "noise_floor_rejects", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.broadband_rise_holds", - "name": "broadband_rise_holds", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.narrowband_is_narrowband", - "name": "narrowband_is_narrowband", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.anomaly_score_self_delta", - "name": "anomaly_score_self_delta", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.detection_count_multi_bin", - "name": "detection_count_multi_bin", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.computeSNR", - "name": "computeSNR", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.classifySNRZone", - "name": "classifySNRZone", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.isNarrowband", - "name": "isNarrowband", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.isBroadband", - "name": "isBroadband", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.classifyPattern", - "name": "classifyPattern", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.anomalyScore", - "name": "anomalyScore", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.narrowbandSpikeFixture", - "name": "narrowbandSpikeFixture", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.broadbandRiseFixture", - "name": "broadbandRiseFixture", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.noiseFloorFixture", - "name": "noiseFloorFixture", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.multiBinFixture", - "name": "multiBinFixture", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.snrDetectionGate", - "name": "snrDetectionGate", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.emitAnomalyReceipt", - "name": "emitAnomalyReceipt", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.findStrongestSpike", - "name": "findStrongestSpike", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Kernels.SNRAnomalyDetector.countDetections", - "name": "countDetections", - "module": "Semantics.HCMMR.Kernels.SNRAnomalyDetector" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Laws.Law14_Motion", - "name": "Law14_Motion", - "path": "Semantics/HCMMR/Laws/Law14_Motion.lean", - "namespace": "Semantics.HCMMR.Law14", - "doc": "HCMMR Law14 \u2014 Motion Recovery. Tests whether a 16D object can be projected into a classical trajectory. The pass condition is \u03b5_motion = ||m\u00b7\u1e8d - F|| \u2192 0 in the Newtonian limit. When residuals are small, the HCMMR manifold gear-reduces to classical Newtonian/Lagrangian mechanics.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 14, - "struct_count": 2, - "inductive_count": 0, - "line_count": 344 - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law14_Motion.newton_admits_clean", - "name": "newton_admits_clean", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law14_Motion.free_particle_admits", - "name": "free_particle_admits", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law14_Motion.momentum_identity_clean", - "name": "momentum_identity_clean", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law14_Motion.kinetic_energy_clean", - "name": "kinetic_energy_clean", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law14_Motion.newton_violating_residual_pos", - "name": "newton_violating_residual_pos", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law14_Motion.computeVelocity", - "name": "computeVelocity", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law14_Motion.computeAcceleration", - "name": "computeAcceleration", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law14_Motion.newtonSecondLawResidual", - "name": "newtonSecondLawResidual", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law14_Motion.momentumResidual", - "name": "momentumResidual", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law14_Motion.kineticEnergyResidual", - "name": "kineticEnergyResidual", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law14_Motion.eulerLagrangeResidual", - "name": "eulerLagrangeResidual", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law14_Motion.actionResidual", - "name": "actionResidual", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law14_Motion.motionRecoveryGate", - "name": "motionRecoveryGate", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law14_Motion.motionDiagnostic", - "name": "motionDiagnostic", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law14_Motion.gearReduceResidual", - "name": "gearReduceResidual", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law14_Motion.cleanNewtonFixture", - "name": "cleanNewtonFixture", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law14_Motion.violatingTrajectoryFixture", - "name": "violatingTrajectoryFixture", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law14_Motion.cleanLagrangianFixture", - "name": "cleanLagrangianFixture", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law14_Motion.freeParticleFixture", - "name": "freeParticleFixture", - "module": "Semantics.HCMMR.Laws.Law14_Motion" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection", - "name": "Law15E_SignalDetection", - "path": "Semantics/HCMMR/Laws/Law15E_SignalDetection.lean", - "namespace": "Semantics.HCMMR.Law15E", - "doc": "Law 15E \u2014 Signal Detection Gate. A sub-law of Field Recovery (Law 15) that gates whether a projected electromagnetic field contains a detectable signal rather than mere noise. The gate uses SNR ratio thresholds mapped to typed verdicts: Signal \u2265 signal_threshold \u2192 admit (candidate signal presen", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 6, - "def_count": 8, - "struct_count": 2, - "inductive_count": 0, - "line_count": 278 - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection.seti_config_admits_strong_signal", - "name": "seti_config_admits_strong_signal", - "module": "Semantics.HCMMR.Laws.Law15E_SignalDetection" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection.seti_config_holds_ambiguous", - "name": "seti_config_holds_ambiguous", - "module": "Semantics.HCMMR.Laws.Law15E_SignalDetection" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection.quick_scan_admits_ambiguous_above_noise", - "name": "quick_scan_admits_ambiguous_above_noise", - "module": "Semantics.HCMMR.Laws.Law15E_SignalDetection" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection.doppler_zero_drift_holds", - "name": "doppler_zero_drift_holds", - "module": "Semantics.HCMMR.Laws.Law15E_SignalDetection" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection.doppler_valid_drift_admits", - "name": "doppler_valid_drift_admits", - "module": "Semantics.HCMMR.Laws.Law15E_SignalDetection" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection.detection_report_counts_correctly", - "name": "detection_report_counts_correctly", - "module": "Semantics.HCMMR.Laws.Law15E_SignalDetection" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection.setiDefaultConfig", - "name": "setiDefaultConfig", - "module": "Semantics.HCMMR.Laws.Law15E_SignalDetection" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection.quickScanConfig", - "name": "quickScanConfig", - "module": "Semantics.HCMMR.Laws.Law15E_SignalDetection" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection.signalDetectionGate", - "name": "signalDetectionGate", - "module": "Semantics.HCMMR.Laws.Law15E_SignalDetection" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection.generateDetectionReport", - "name": "generateDetectionReport", - "module": "Semantics.HCMMR.Laws.Law15E_SignalDetection" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection.detectDopplerDrift", - "name": "detectDopplerDrift", - "module": "Semantics.HCMMR.Laws.Law15E_SignalDetection" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection.dopplerGate", - "name": "dopplerGate", - "module": "Semantics.HCMMR.Laws.Law15E_SignalDetection" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection.cleanSignalFixture", - "name": "cleanSignalFixture", - "module": "Semantics.HCMMR.Laws.Law15E_SignalDetection" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15E_SignalDetection.ambiguousSignalFixture", - "name": "ambiguousSignalFixture", - "module": "Semantics.HCMMR.Laws.Law15E_SignalDetection" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Laws.Law15_Field", - "name": "Law15_Field", - "path": "Semantics/HCMMR/Laws/Law15_Field.lean", - "namespace": "Semantics.HCMMR.Law15", - "doc": "Law 15 \u2014 Field Recovery Bridges 16D torsion/winding into recoverable 4D electromagnetism through a layered gate chain: Law 15K (K\u00e4hler Compatibility) \u2192 15A (Gauge Invariance) \u2192 15B (Maxwell) \u2192 15C (Wave Propagation) \u2192 15D (Charge/Current Coupling). The K\u00e4hler layer is the smooth-field gearbox: \u03c9(X", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 27, - "def_count": 58, - "struct_count": 8, - "inductive_count": 0, - "line_count": 918 - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.kahlerGate_admits_clean", - "name": "kahlerGate_admits_clean", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.kahlerGate_rejects_fractal", - "name": "kahlerGate_rejects_fractal", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.gaugeGate_admits_invariance", - "name": "gaugeGate_admits_invariance", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.maxwell_homogeneous_from_potential", - "name": "maxwell_homogeneous_from_potential", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.maxwell_sourced_needs_current", - "name": "maxwell_sourced_needs_current", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.waveGate_admits_vacuum", - "name": "waveGate_admits_vacuum", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.couplingGate_admits_conserved", - "name": "couplingGate_admits_conserved", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.fieldRecovery_chain_admits_clean", - "name": "fieldRecovery_chain_admits_clean", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.fieldRecovery_chain_rejects_fractal", - "name": "fieldRecovery_chain_rejects_fractal", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.J16_squared_is_negI", - "name": "J16_squared_is_negI", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.J16_is_unitary", - "name": "J16_is_unitary", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.goldenSpiral_passes_conformal", - "name": "goldenSpiral_passes_conformal", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.goldenSpiral_gate_admits", - "name": "goldenSpiral_gate_admits", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.shear_fails_kahler", - "name": "shear_fails_kahler", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.conj_is_orthogonal", - "name": "conj_is_orthogonal", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.conj_fails_kahler", - "name": "conj_fails_kahler", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.q16_sub_self_val", - "name": "q16_sub_self_val", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.placeholder_B3_always_zero", - "name": "placeholder_B3_always_zero", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.vortex_B3_nonzero", - "name": "vortex_B3_nonzero", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.vortex_divB_zero", - "name": "vortex_divB_zero", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.quantize_one", - "name": "quantize_one", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.quantize_negTwo", - "name": "quantize_negTwo", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.quantize_threeHalves", - "name": "quantize_threeHalves", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.charge_empty", - "name": "charge_empty", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.charge_one_vortex", - "name": "charge_one_vortex", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.charge_two_vortices", - "name": "charge_two_vortices", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law15_Field.charge_vortex_antivortex", - "name": "charge_vortex_antivortex", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.projectPotential", - "name": "projectPotential", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.computeFieldStrength", - "name": "computeFieldStrength", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.kahlerResidual", - "name": "kahlerResidual", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.kahlerGateAdmit", - "name": "kahlerGateAdmit", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.fractalKahlerReceipt", - "name": "fractalKahlerReceipt", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.gaugeTransform", - "name": "gaugeTransform", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.gaugeResidual", - "name": "gaugeResidual", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.gaugeGateAdmit", - "name": "gaugeGateAdmit", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.homogeneousMaxwellResidual", - "name": "homogeneousMaxwellResidual", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.sourcedMaxwellResidual", - "name": "sourcedMaxwellResidual", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.maxwellGateAdmit", - "name": "maxwellGateAdmit", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.causalSpeedResidual", - "name": "causalSpeedResidual", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.waveGateAdmit", - "name": "waveGateAdmit", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.lorentzForce", - "name": "lorentzForce", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.chargeCouplingResidual", - "name": "chargeCouplingResidual", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.sourceConservationResidual", - "name": "sourceConservationResidual", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.couplingGateAdmit", - "name": "couplingGateAdmit", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.fieldRecoveryChain", - "name": "fieldRecoveryChain", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.fieldRecoveryVerdict", - "name": "fieldRecoveryVerdict", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law15_Field.cleanTorsionFixture", - "name": "cleanTorsionFixture", - "module": "Semantics.HCMMR.Laws.Law15_Field" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Laws.Law16_Entropy", - "name": "Law16_Entropy", - "path": "Semantics/HCMMR/Laws/Law16_Entropy.lean", - "namespace": "Semantics.HCMMR.Law16", - "doc": "Law 16 \u2014 Entropy/Heat Leak (Landauer Gate) Every gate failure is not free \u2014 it emits a residual that costs energy (Landauer limit: \u0394E \u2265 k_B\u00b7T\u00b7ln2). The Underverse is the residual heat sink for every gate rejection. Gate rejections produce thermodynamic signatures; the adiabatic boundary is the QCD ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 8, - "def_count": 18, - "struct_count": 3, - "inductive_count": 0, - "line_count": 401 - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.landauer_positive", - "name": "landauer_positive", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.underverse_never_zero", - "name": "underverse_never_zero", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.torsion_never_superluminal", - "name": "torsion_never_superluminal", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.thermal_boundary_admits_positive", - "name": "thermal_boundary_admits_positive", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.thermal_boundary_holds_at_zero", - "name": "thermal_boundary_holds_at_zero", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.torsion_horizon_admits_near_light", - "name": "torsion_horizon_admits_near_light", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.torsion_horizon_rejects_luminal", - "name": "torsion_horizon_rejects_luminal", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.failure_cost_positive", - "name": "failure_cost_positive", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.k_B", - "name": "k_B", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.ln2", - "name": "ln2", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.landauerMinimum", - "name": "landauerMinimum", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.computeFailureCost", - "name": "computeFailureCost", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.sinkEffectiveness", - "name": "sinkEffectiveness", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.sinkResidual", - "name": "sinkResidual", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.thermalBoundaryCheck", - "name": "thermalBoundaryCheck", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.entropyGateAdmit", - "name": "entropyGateAdmit", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.totalEntropyBudget", - "name": "totalEntropyBudget", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.causalSpeedResidual", - "name": "causalSpeedResidual", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.torsionHorizonAdmit", - "name": "torsionHorizonAdmit", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.roomTempFixture", - "name": "roomTempFixture", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.gateRejectCostFixture", - "name": "gateRejectCostFixture", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.underverseSettledFixture", - "name": "underverseSettledFixture", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.nearLightTorsionFixture", - "name": "nearLightTorsionFixture", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.thermalBoundaryFixture", - "name": "thermalBoundaryFixture", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.failureListFixture", - "name": "failureListFixture", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law16_Entropy.rawSinkFixture", - "name": "rawSinkFixture", - "module": "Semantics.HCMMR.Laws.Law16_Entropy" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Laws.Law17_Observer", - "name": "Law17_Observer", - "path": "Semantics/HCMMR/Laws/Law17_Observer.lean", - "namespace": "Semantics.HCMMR.Law17", - "doc": "Law 17 \u2014 Observer/Measurement Gate In HCMMR, measurement and wavefunction collapse are modeled as typed gate events: an object being forced through a specific dimensional gate (e.g., 3D Euclidean projection). The observer is not a separate agent but a typed projection: \u03a0_{16\u21923} applied to the objec", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 7, - "def_count": 13, - "struct_count": 3, - "inductive_count": 0, - "line_count": 296 - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law17_Observer.same_dim_no_collapse", - "name": "same_dim_no_collapse", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law17_Observer.higher_to_lower_collapses", - "name": "higher_to_lower_collapses", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law17_Observer.full_resolution_admits", - "name": "full_resolution_admits", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law17_Observer.human_observes_16d_holds", - "name": "human_observes_16d_holds", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law17_Observer.zero_dim_no_permeability_rejects", - "name": "zero_dim_no_permeability_rejects", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law17_Observer.zero_dim_with_permeability_holds", - "name": "zero_dim_with_permeability_holds", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law17_Observer.collapse_residual_self_zero_concrete", - "name": "collapse_residual_self_zero_concrete", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law17_Observer.collapseResidual", - "name": "collapseResidual", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law17_Observer.observe", - "name": "observe", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law17_Observer.measurementGateAdmit", - "name": "measurementGateAdmit", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law17_Observer.emitMeasurementReceipt", - "name": "emitMeasurementReceipt", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law17_Observer.checkResolutionHorizon", - "name": "checkResolutionHorizon", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law17_Observer.eigenmassFixture", - "name": "eigenmassFixture", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law17_Observer.sameDimObject", - "name": "sameDimObject", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law17_Observer.higherDimObject", - "name": "higherDimObject", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law17_Observer.humanObserverFixture", - "name": "humanObserverFixture", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law17_Observer.quantumObserverFixture", - "name": "quantumObserverFixture", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law17_Observer.sixteenDObserverFixture", - "name": "sixteenDObserverFixture", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law17_Observer.zeroDimObserverFixture", - "name": "zeroDimObserverFixture", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law17_Observer.measurementCollapseFixture", - "name": "measurementCollapseFixture", - "module": "Semantics.HCMMR.Laws.Law17_Observer" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Laws.Law18_AlphaDerivation", - "name": "Law18_AlphaDerivation", - "path": "Semantics/HCMMR/Laws/Law18_AlphaDerivation.lean", - "namespace": "Semantics.HCMMR.Law18Alpha", - "doc": "Law 18 \u2014 Alpha Derivation Stub Companion to Law18_Constants.lean **Epistemic status:** This file is a SPECULATIVE computation stub, not a proof of a physical derivation. The HCMMR framework anchors \u03b1\u207b\u00b9 = 137.036 as a calibration constant (Law18_Constants.lean, `alpha_inverse = \u27e88980791\u27e9`). It does ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 11, - "struct_count": 1, - "inductive_count": 0, - "line_count": 261 - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_AlphaDerivation.canonicalWyler", - "name": "canonicalWyler", - "module": "Semantics.HCMMR.Laws.Law18_AlphaDerivation" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_AlphaDerivation.floatPi", - "name": "floatPi", - "module": "Semantics.HCMMR.Laws.Law18_AlphaDerivation" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_AlphaDerivation.wylerAlphaInverse", - "name": "wylerAlphaInverse", - "module": "Semantics.HCMMR.Laws.Law18_AlphaDerivation" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_AlphaDerivation.wylerAlphaInverseTrue", - "name": "wylerAlphaInverseTrue", - "module": "Semantics.HCMMR.Laws.Law18_AlphaDerivation" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_AlphaDerivation.codataAlphaInverse", - "name": "codataAlphaInverse", - "module": "Semantics.HCMMR.Laws.Law18_AlphaDerivation" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_AlphaDerivation.wylerDeviation", - "name": "wylerDeviation", - "module": "Semantics.HCMMR.Laws.Law18_AlphaDerivation" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_AlphaDerivation.recamanGap6Candidate", - "name": "recamanGap6Candidate", - "module": "Semantics.HCMMR.Laws.Law18_AlphaDerivation" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_AlphaDerivation.recamanDeviation", - "name": "recamanDeviation", - "module": "Semantics.HCMMR.Laws.Law18_AlphaDerivation" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_AlphaDerivation.alphaInverseQ16_16Anchor", - "name": "alphaInverseQ16_16Anchor", - "module": "Semantics.HCMMR.Laws.Law18_AlphaDerivation" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_AlphaDerivation.alphaInverseFromAnchor", - "name": "alphaInverseFromAnchor", - "module": "Semantics.HCMMR.Laws.Law18_AlphaDerivation" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_AlphaDerivation.anchorDeviation", - "name": "anchorDeviation", - "module": "Semantics.HCMMR.Laws.Law18_AlphaDerivation" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Laws.Law18_Constants", - "name": "Law18_Constants", - "path": "Semantics/HCMMR/Laws/Law18_Constants.lean", - "namespace": "Semantics.HCMMR.Law18", - "doc": "Law 18 \u2014 Scale/Constant Anchoring HCMMR does not predict constants as raw numbers (they're dimensionful and unit-dependent). It recovers their *roles* as limiting calibration constants and tests **dimensionless** outputs. The canonical equation includes \u03a9_K (Constant Calibration Gate) as a multipli", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 15, - "struct_count": 2, - "inductive_count": 0, - "line_count": 351 - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law18_Constants.omegaK_admits_anchored", - "name": "omegaK_admits_anchored", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law18_Constants.omegaK_rejects_missing", - "name": "omegaK_rejects_missing", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law18_Constants.dimensionless_residual_bounded_by_resolution", - "name": "dimensionless_residual_bounded_by_resolution", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law18_Constants.calibration_anchored_score_one", - "name": "calibration_anchored_score_one", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.anchorConstants", - "name": "anchorConstants", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.calibrationScore", - "name": "calibrationScore", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.residualLogRatio", - "name": "residualLogRatio", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.fineStructureTest", - "name": "fineStructureTest", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.massRatioTest", - "name": "massRatioTest", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.planckRatioTest", - "name": "planckRatioTest", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.dimensionlessTestGate", - "name": "dimensionlessTestGate", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.omegaKScore", - "name": "omegaKScore", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.omegaKGate", - "name": "omegaKGate", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.constantRecoveryGate", - "name": "constantRecoveryGate", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.constantRecoveryVerdict", - "name": "constantRecoveryVerdict", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.coDataCalibrationFixture", - "name": "coDataCalibrationFixture", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.missingPhotonFixture", - "name": "missingPhotonFixture", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.fineStructureFixture", - "name": "fineStructureFixture", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law18_Constants.anchoredCalibrationFixture", - "name": "anchoredCalibrationFixture", - "module": "Semantics.HCMMR.Laws.Law18_Constants" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Laws.Law19_VoidScar", - "name": "Law19_VoidScar", - "path": "Semantics/HCMMR/Laws/Law19_VoidScar.lean", - "namespace": "Semantics.HCMMR.Law19", - "doc": "Law 19 \u2014 VoidScar Fractal Field & Regime Gate Encodes three primitives derived from the Menger/Koch/DESI synthesis (see `6-Documentation/docs/distilled/ObserverScale_RegimeGate_VoidScar.md`): 1. **VoidScar fractal constants** \u2014 Koch boundary dimension ln(4)/ln(3) and the Menger/Koch divergence pre", - 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"id": "Semantics.HCMMR.Laws.Law19_VoidScar.VoidScarField", - "name": "VoidScarField", - "module": "Semantics.HCMMR.Laws.Law19_VoidScar" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law19_VoidScar.voidScarDivergence", - "name": "voidScarDivergence", - "module": "Semantics.HCMMR.Laws.Law19_VoidScar" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law19_VoidScar.voidScarAdmissible", - "name": "voidScarAdmissible", - "module": "Semantics.HCMMR.Laws.Law19_VoidScar" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law19_VoidScar.mengerDeleteStep", - "name": "mengerDeleteStep", - "module": "Semantics.HCMMR.Laws.Law19_VoidScar" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law19_VoidScar.kochScarStep", - "name": "kochScarStep", - "module": "Semantics.HCMMR.Laws.Law19_VoidScar" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law19_VoidScar.voidScarStep", - "name": "voidScarStep", - "module": "Semantics.HCMMR.Laws.Law19_VoidScar" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law19_VoidScar.voidScarGate", - "name": "voidScarGate", - "module": "Semantics.HCMMR.Laws.Law19_VoidScar" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law19_VoidScar.resolveRegime", - "name": "resolveRegime", - "module": "Semantics.HCMMR.Laws.Law19_VoidScar" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law19_VoidScar.resolveCoupling", - "name": "resolveCoupling", - "module": "Semantics.HCMMR.Laws.Law19_VoidScar" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law19_VoidScar.regimeGateVerdict", - "name": "regimeGateVerdict", - "module": "Semantics.HCMMR.Laws.Law19_VoidScar" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law19_VoidScar.voidScarRegimeChain", - "name": "voidScarRegimeChain", - "module": "Semantics.HCMMR.Laws.Law19_VoidScar" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law19_VoidScar.classifyDivergence", - "name": "classifyDivergence", - "module": "Semantics.HCMMR.Laws.Law19_VoidScar" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Laws.Law20_Shock", - "name": "Law20_Shock", - "path": "Semantics/HCMMR/Laws/Law20_Shock.lean", - "namespace": "Semantics.HCMMR.Law20", - "doc": "Law 20 \u2014 Shockwave / Front Gate Formalises the HCMMR discontinuity-handling gate A_shock. Doctrine: a discontinuity (shockwave, contact front, phase boundary) is NOT a failure of physics. It is a *gate event* with a typed receipt that captures: 1. **Hyperbolicity** \u2014 the PDE system is hyperbolic", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 23, - "struct_count": 4, - "inductive_count": 1, - "line_count": 516 - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law20_Shock.exampleShock_admitted", - "name": "exampleShock_admitted", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law20_Shock.ellipticEvent_rejected", - "name": "ellipticEvent_rejected", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law20_Shock.expansionShock_rejected_lax", - "name": "expansionShock_rejected_lax", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law20_Shock.acausalShock_rejected", - "name": "acausalShock_rejected", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.q", - "name": "q", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.toN", - "name": "toN", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.q_sub", - "name": "q_sub", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.q_absdiff", - "name": "q_absdiff", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.q_add", - "name": "q_add", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.q_div", - "name": "q_div", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.hyperbolicityGate", - "name": "hyperbolicityGate", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.characteristicSpeeds", - "name": "characteristicSpeeds", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.rankineHugoniotResidual", - "name": "rankineHugoniotResidual", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.entropyProxy", - "name": "entropyProxy", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.entropyAdmissible", - "name": "entropyAdmissible", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.entropyGain", - "name": "entropyGain", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.causalEnvelope", - "name": "causalEnvelope", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.causallyValid", - "name": "causallyValid", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.causalExcess", - "name": "causalExcess", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.rhThreshold", - "name": "rhThreshold", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.shockGate", - "name": "shockGate", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.exampleShock", - "name": "exampleShock", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.ellipticEvent", - "name": "ellipticEvent", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law20_Shock.expansionShock", - "name": "expansionShock", - "module": "Semantics.HCMMR.Laws.Law20_Shock" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary", - "name": "Law21_ThermalBoundary", - "path": "Semantics/HCMMR/Laws/Law21_ThermalBoundary.lean", - "namespace": "Semantics.HCMMR.Law21", - "doc": "Law 21 \u2014 Thermal Boundary Gate Formalises the HCMMR temperature-regime admissibility gate A_thermal. Doctrine: temperature is a *gate variable*, not a free parameter. Two hard boundaries bracket the physically accessible regime, and the CMB floor anchors the observable cosmic background. 1. **Ab", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 18, - "struct_count": 4, - "inductive_count": 2, - "line_count": 495 - }, - { - "kind": "theorem", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.superposition_weight_sum", - "name": "superposition_weight_sum", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.boltzmann_num", - "name": "boltzmann_num", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.boltzmann_den", - "name": "boltzmann_den", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.T_CMB", - "name": "T_CMB", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.ln2_Q16", - "name": "ln2_Q16", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.T_Hagedorn_K", - "name": "T_Hagedorn_K", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.T_absZero_K", - "name": "T_absZero_K", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.classifyThermalRegime", - "name": "classifyThermalRegime", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.T_CMB_mK", - "name": "T_CMB_mK", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.aboveCMB", - "name": "aboveCMB", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.subCMBresidual", - "name": "subCMBresidual", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.landauerFloor", - "name": "landauerFloor", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.landauerAdmissible", - "name": "landauerAdmissible", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.landauerDeficit", - "name": "landauerDeficit", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.thermalGate", - "name": "thermalGate", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.superpositionFromVerdict", - "name": "superpositionFromVerdict", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.thermalGateEx", - "name": "thermalGateEx", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.A_thermal", - "name": "A_thermal", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "def", - "id": "Semantics.HCMMR.Laws.Law21_ThermalBoundary.A_thermal_weight", - "name": "A_thermal_weight", - "module": "Semantics.HCMMR.Laws.Law21_ThermalBoundary" - }, - { - "kind": "module", - "id": "Semantics.HCMMR.Manifest", - "name": "Manifest", - "path": "Semantics/HCMMR/Manifest.lean", - "namespace": "", - "doc": "HCMMR Manifest.lean \u2014 Single import entry point for the HCMMR Operadic Meta-Calculus. Import this file to access the full typed-gate diagnostic system: Core typeclass definitions (Gate, GateChain, EigenmassOperator, Residual, DiagnosticReceipt) Bridge adapters to existing Semantics modules (FAMM, S", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 0, - "struct_count": 0, - "inductive_count": 0, - "line_count": 30 - }, - { - "kind": "module", - "id": "Semantics.HachimojiCostRefinement", - "name": "HachimojiCostRefinement", - "path": "Semantics/HachimojiCostRefinement.lean", - "namespace": "HachimojiCostRefinement", - "doc": "abbrev HachimojiNucleotide := Fin 8 /-- Hachimoji codon is a triplet of nucleotides", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 1, - "inductive_count": 0, - "line_count": 78 - }, - { - "kind": "def", - "id": "Semantics.HachimojiCostRefinement.standardCodonSpace", - "name": "standardCodonSpace", - "module": "Semantics.HachimojiCostRefinement" - }, - { - "kind": "def", - "id": "Semantics.HachimojiCostRefinement.hachimojiCodonSpace", - "name": "hachimojiCodonSpace", - "module": "Semantics.HachimojiCostRefinement" - }, - { - "kind": "def", - "id": "Semantics.HachimojiCostRefinement.standardAverageDegeneracy", - "name": "standardAverageDegeneracy", - "module": "Semantics.HachimojiCostRefinement" - }, - { - "kind": "def", - "id": "Semantics.HachimojiCostRefinement.hachimojiAverageDegeneracy", - "name": "hachimojiAverageDegeneracy", - "module": "Semantics.HachimojiCostRefinement" - }, - { - "kind": "def", - "id": "Semantics.HachimojiCostRefinement.standardBaseCost", - "name": "standardBaseCost", - "module": "Semantics.HachimojiCostRefinement" - }, - { - "kind": "def", - "id": "Semantics.HachimojiCostRefinement.hachimojiRawCost", - "name": "hachimojiRawCost", - "module": "Semantics.HachimojiCostRefinement" - }, - { - "kind": "module", - "id": "Semantics.HachimojiManifoldAxiom", - "name": "HachimojiManifoldAxiom", - "path": "Semantics/HachimojiManifoldAxiom.lean", - "namespace": "", - "doc": "HachimojiManifoldAxiom.lean \u2014 Baker Bound via 8-State Chromatin Manifold Replaces the transcendence axiom (Baker's theorem) with a geometric axiom: the Ricci flow on the 8-state Hachimoji Baker manifold converges, and its persistent homology certifies the Baker bound. AXIOM ARCHITECTURE: hachimoji", - "math_kind": "geometry", - "sorry_count": 3, - "theorem_count": 6, - "def_count": 2, - "struct_count": 4, - "inductive_count": 1, - "line_count": 244 - }, - { - "kind": "theorem", - "id": "Semantics.HachimojiManifoldAxiom.HachimojiBase", - "name": "HachimojiBase", - "module": "Semantics.HachimojiManifoldAxiom" - }, - { - "kind": "theorem", - "id": "Semantics.HachimojiManifoldAxiom.repunit_mul_pred", - "name": "repunit_mul_pred", - "module": "Semantics.HachimojiManifoldAxiom" - }, - { - "kind": "theorem", - "id": "Semantics.HachimojiManifoldAxiom.repunit_cross_mul", - "name": "repunit_cross_mul", - "module": "Semantics.HachimojiManifoldAxiom" - }, - { - "kind": "theorem", - "id": "Semantics.HachimojiManifoldAxiom.PersistentClass", - "name": "PersistentClass", - "module": "Semantics.HachimojiManifoldAxiom" - }, - { - "kind": "theorem", - "id": "Semantics.HachimojiManifoldAxiom.bms_from_manifold", - "name": "bms_from_manifold", - "module": "Semantics.HachimojiManifoldAxiom" - }, - { - "kind": "theorem", - "id": "Semantics.HachimojiManifoldAxiom.goormaghtigh_from_manifold", - "name": "goormaghtigh_from_manifold", - "module": "Semantics.HachimojiManifoldAxiom" - }, - { - "kind": "def", - "id": "Semantics.HachimojiManifoldAxiom.PersistenceBarcode", - "name": "PersistenceBarcode", - "module": "Semantics.HachimojiManifoldAxiom" - }, - { - "kind": "module", - "id": "Semantics.HachimojiPipeline", - "name": "HachimojiPipeline", - "path": "Semantics/HachimojiPipeline.lean", - "namespace": "Semantics.HachimojiPipeline", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team HachimojiPipeline.lean - Enhanced Hachimoji Pipeline with All Improvements Complete hachimoji encoding pipeline from first bit to final assembly with: Genetic compression parameters (\u03c1_seq, v_epigeneti", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 105, - "struct_count": 44, - "inductive_count": 2, - "line_count": 1600 - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.energyToLogProb", - "name": "energyToLogProb", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.updateDiscreteState", - "name": "updateDiscreteState", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.isEntropySpike", - "name": "isEntropySpike", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.fastPredict", - "name": "fastPredict", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.updateContextHierarchy", - "name": "updateContextHierarchy", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.getShortContext", - "name": "getShortContext", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.getMediumContext", - "name": "getMediumContext", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.getLongContext", - "name": "getLongContext", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.trainLookupTable", - "name": "trainLookupTable", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.initInterval", - "name": "initInterval", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.scaleInterval", - "name": "scaleInterval", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.encodeSymbol", - "name": "encodeSymbol", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.decodeSymbol", - "name": "decodeSymbol", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.initLogLoss", - "name": "initLogLoss", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.updateLogLoss", - "name": "updateLogLoss", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.computeLogLossPerByte", - "name": "computeLogLossPerByte", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.computeCompressionRatio", - "name": "computeCompressionRatio", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.computeCompressionPercentage", - "name": "computeCompressionPercentage", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.initDecompressor", - "name": "initDecompressor", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "def", - "id": "Semantics.HachimojiPipeline.readBits", - "name": "readBits", - "module": "Semantics.HachimojiPipeline" - }, - { - "kind": "module", - "id": "Semantics.HachimojiSubstitution", - "name": "HachimojiSubstitution", - "path": "Semantics/HachimojiSubstitution.lean", - "namespace": "Greek", - "doc": "HachimojiSubstitution.lean \u2014 Greek-symbol re-encoding of the Hachimoji 8 states Standalone companion to HachimojiManifoldAxiom.lean. Does NOT modify the working axiom file \u2014 only adds a Greek-letter variant and the bijection between the two encodings. The substitution reads the Research Stack's ow", - "math_kind": "rrc", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 11, - "struct_count": 0, - "inductive_count": 3, - "line_count": 300 - }, - { - "kind": "theorem", - "id": "Semantics.HachimojiSubstitution.HachimojiBase", - "name": "HachimojiBase", - "module": "Semantics.HachimojiSubstitution" - }, - { - "kind": "theorem", - "id": "Semantics.HachimojiSubstitution.greek_latin_agree", - "name": "greek_latin_agree", - "module": "Semantics.HachimojiSubstitution" - }, - { - "kind": "theorem", - "id": "Semantics.HachimojiSubstitution.forward_states_are_normal", - "name": "forward_states_are_normal", - "module": "Semantics.HachimojiSubstitution" - }, - { - "kind": "def", - "id": "Semantics.HachimojiSubstitution.hachimojiGreekEquiv", - "name": "hachimojiGreekEquiv", - "module": "Semantics.HachimojiSubstitution" - }, - { - "kind": "def", - "id": "Semantics.HachimojiSubstitution.Greek", - "name": "Greek", - "module": "Semantics.HachimojiSubstitution" - }, - { - "kind": "def", - "id": "Semantics.HachimojiSubstitution.bitToGreek", - "name": "bitToGreek", - "module": "Semantics.HachimojiSubstitution" - }, - { - "kind": "def", - "id": "Semantics.HachimojiSubstitution.greekToReceiptBits", - "name": "greekToReceiptBits", - "module": "Semantics.HachimojiSubstitution" - }, - { - "kind": "def", - "id": "Semantics.HachimojiSubstitution.greekToRegime", - "name": "greekToRegime", - "module": "Semantics.HachimojiSubstitution" - }, - { - "kind": "def", - "id": "Semantics.HachimojiSubstitution.fromQAOABitstring", - "name": "fromQAOABitstring", - "module": "Semantics.HachimojiSubstitution" - }, - { - "kind": "def", - "id": "Semantics.HachimojiSubstitution.toQAOABitstring", - "name": "toQAOABitstring", - "module": "Semantics.HachimojiSubstitution" - }, - { - "kind": "def", - "id": "Semantics.HachimojiSubstitution.knownOmegaStates", - "name": "knownOmegaStates", - "module": "Semantics.HachimojiSubstitution" - }, - { - "kind": "def", - "id": "Semantics.HachimojiSubstitution.omegaLogogramReceipt", - "name": "omegaLogogramReceipt", - "module": "Semantics.HachimojiSubstitution" - }, - { - "kind": "module", - "id": "Semantics.HamiltonianFormal", - "name": "HamiltonianFormal", - "path": "Semantics/HamiltonianFormal.lean", - "namespace": "Semantics.HamiltonianFormal", - "doc": "structure Dimension where mass : \u2124 length : \u2124 time : \u2124 deriving Repr, DecidableEq, BEq /-- Extensionality theorem for Dimension", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 61, - "def_count": 25, - "struct_count": 3, - "inductive_count": 0, - "line_count": 776 - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.Dimension", - "name": "Dimension", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.sqrt_pos_of_pos", - "name": "sqrt_pos_of_pos", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.mul_le_mul_of_pos_left", - "name": "mul_le_mul_of_pos_left", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.mul_le_mul_of_pos_right", - "name": "mul_le_mul_of_pos_right", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.sq_nonneg_custom", - "name": "sq_nonneg_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.sqrt_nonneg_custom", - "name": "sqrt_nonneg_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.abs_of_nonneg_custom", - "name": "abs_of_nonneg_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.sqrt_sq_custom_full", - "name": "sqrt_sq_custom_full", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.mul_nonneg_custom", - "name": "mul_nonneg_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.div_nonneg_custom", - "name": "div_nonneg_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.sqrt_monotone_custom", - "name": "sqrt_monotone_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.reciprocal_le_custom", - "name": "reciprocal_le_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.sqrt_sq_custom", - "name": "sqrt_sq_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.add_le_add_left_custom", - "name": "add_le_add_left_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.add_le_add_right_custom", - "name": "add_le_add_right_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.add_nonneg_custom", - "name": "add_nonneg_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.sq_le_sq_custom", - "name": "sq_le_sq_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.sqrt_le_sqrt_custom", - "name": "sqrt_le_sqrt_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.zero_sq_custom", - "name": "zero_sq_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.mul_lt_mul_of_pos_left_custom", - "name": "mul_lt_mul_of_pos_left_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.mul_lt_mul_of_pos_right_custom", - "name": "mul_lt_mul_of_pos_right_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.le_add_of_nonneg_left_custom", - "name": "le_add_of_nonneg_left_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.le_add_of_nonneg_right_custom", - "name": "le_add_of_nonneg_right_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianFormal.le_of_lt_custom", - "name": "le_of_lt_custom", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.dimensionless", - "name": "dimensionless", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.massDim", - "name": "massDim", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.lengthDim", - "name": "lengthDim", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.timeDim", - "name": "timeDim", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.velocityDim", - "name": "velocityDim", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.energyDim", - "name": "energyDim", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.momentumDim", - "name": "momentumDim", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.GDim", - "name": "GDim", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.cDim", - "name": "cDim", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.PositiveMass", - "name": "PositiveMass", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.PositiveGravitationalConstant", - "name": "PositiveGravitationalConstant", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.PositiveSoftening", - "name": "PositiveSoftening", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.PositiveLightSpeed", - "name": "PositiveLightSpeed", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.PhaseSpace", - "name": "PhaseSpace", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.FlowMap", - "name": "FlowMap", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.SymplecticForm", - "name": "SymplecticForm", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianFormal.PoissonBracket", - "name": "PoissonBracket", - "module": "Semantics.HamiltonianFormal" - }, - { - "kind": "module", - "id": "Semantics.HamiltonianVerification", - "name": "HamiltonianVerification", - "path": "Semantics/HamiltonianVerification.lean", - "namespace": "Semantics.HamiltonianVerification", - "doc": "def inverseAreaDim : Semantics.HamiltonianFormal.Dimension := Semantics.HamiltonianFormal.lengthDim.pow (-2) /-- Mass density dimension `[M][L]^-3`.", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 324, - "def_count": 7, - "struct_count": 0, - "inductive_count": 0, - "line_count": 1836 - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.kineticEnergyDimensionalConsistency", - "name": "kineticEnergyDimensionalConsistency", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.regularizedPotentialDimensionalConsistency", - "name": "regularizedPotentialDimensionalConsistency", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.threeBodyCorrectionDimensionalRequirement", - "name": "threeBodyCorrectionDimensionalRequirement", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.velocityDependentTermDimensionalConsistency", - "name": "velocityDependentTermDimensionalConsistency", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.fieldEquationDimensionalConsistency", - "name": "fieldEquationDimensionalConsistency", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.lambdaKappa1DimensionalMismatch", - "name": "lambdaKappa1DimensionalMismatch", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.lambdaKappa3DimensionalConsistency", - "name": "lambdaKappa3DimensionalConsistency", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.phaseSpaceNormDimensionalHomogeneity", - "name": "phaseSpaceNormDimensionalHomogeneity", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.regularizedPotentialFiniteAtCollision", - "name": "regularizedPotentialFiniteAtCollision", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.phiEffInitialConditionsWellPosed", - "name": "phiEffInitialConditionsWellPosed", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.parameterSystemLocallyClosed", - "name": "parameterSystemLocallyClosed", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.spectralAssumptionsRelaxed", - "name": "spectralAssumptionsRelaxed", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.tDependenceConvexityBoundResolved", - "name": "tDependenceConvexityBoundResolved", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.regularizedPotentialZeroSeparation", - "name": "regularizedPotentialZeroSeparation", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.regularizedPotentialNewtonianLimit", - "name": "regularizedPotentialNewtonianLimit", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.threeBodyCorrectionCoincidenceVanishing", - "name": "threeBodyCorrectionCoincidenceVanishing", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.kineticEnergyNonNegative", - "name": "kineticEnergyNonNegative", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.regularizedPotentialBoundedBelow", - "name": "regularizedPotentialBoundedBelow", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.velocityDependentTermsBounded", - "name": "velocityDependentTermsBounded", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.errorFunctionalNonNegative", - "name": "errorFunctionalNonNegative", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.verificationBoundMeaningful", - "name": "verificationBoundMeaningful", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.symplecticFormPreservation", - "name": "symplecticFormPreservation", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.hamiltonianConservation", - "name": "hamiltonianConservation", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.coupledSystemWellPosed", - "name": "coupledSystemWellPosed", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.hamiltonianEquationDependencies", - "name": "hamiltonianEquationDependencies", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.hamiltonsEquationsDependencies", - "name": "hamiltonsEquationsDependencies", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.errorFunctionalDependencies", - "name": "errorFunctionalDependencies", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.normDependencies", - "name": "normDependencies", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.adjointEquationDependencies", - "name": "adjointEquationDependencies", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HamiltonianVerification.firstOrderConditionDependencies", - "name": "firstOrderConditionDependencies", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianVerification.inverseAreaDim", - "name": "inverseAreaDim", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianVerification.massDensityDim", - "name": "massDensityDim", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianVerification.gravitationalPotentialDim", - "name": "gravitationalPotentialDim", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianVerification.waveOperatorDim", - "name": "waveOperatorDim", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianVerification.threeBodyQuadrupoleDim", - "name": "threeBodyQuadrupoleDim", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianVerification.beta1Dim", - "name": "beta1Dim", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "def", - "id": "Semantics.HamiltonianVerification.geometricLengthPower", - "name": "geometricLengthPower", - "module": "Semantics.HamiltonianVerification" - }, - { - "kind": "module", - "id": "Semantics.Hardware.AdaptiveFabric", - "name": "AdaptiveFabric", - "path": "Semantics/Hardware/AdaptiveFabric.lean", - "namespace": "Semantics.AdaptiveFabric", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team AdaptiveFabric.lean \u2014 Adaptive 1-Bit CMYK Merged Architecture Formalization of the adaptive USB fabric connector logic. The 1-bit pipeline provides cheap signal encoding over time. CMYK/SLUQ provides c", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 5, - "struct_count": 2, - "inductive_count": 1, - "line_count": 130 - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.AdaptiveFabric.state_determined_by_sluq", - "name": "state_determined_by_sluq", - "module": "Semantics.Hardware.AdaptiveFabric" - }, - { - "kind": "def", - "id": "Semantics.Hardware.AdaptiveFabric.CMYKState", - "name": "CMYKState", - "module": "Semantics.Hardware.AdaptiveFabric" - }, - { - "kind": "def", - "id": "Semantics.Hardware.AdaptiveFabric.classifySluqAcc", - "name": "classifySluqAcc", - "module": "Semantics.Hardware.AdaptiveFabric" - }, - { - "kind": "def", - "id": "Semantics.Hardware.AdaptiveFabric.step", - "name": "step", - "module": "Semantics.Hardware.AdaptiveFabric" - }, - { - "kind": "def", - "id": "Semantics.Hardware.AdaptiveFabric.testConfig", - "name": "testConfig", - "module": "Semantics.Hardware.AdaptiveFabric" - }, - { - "kind": "def", - "id": "Semantics.Hardware.AdaptiveFabric.initialState", - "name": "initialState", - "module": "Semantics.Hardware.AdaptiveFabric" - }, - { - "kind": "module", - "id": "Semantics.Hardware.AgenticHardware", - "name": "AgenticHardware", - "path": "Semantics/Hardware/AgenticHardware.lean", - "namespace": "Semantics.AgenticOrchestration", - "doc": "Hardware-native agent structures for geometric phase evolution and frustration computation. Split from AgenticOrchestration.lean per swarm suggestion (USER AUTHORIZED).", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 6, - "inductive_count": 0, - "line_count": 126 - }, - { - "kind": "def", - "id": "Semantics.Hardware.AgenticHardware.computeAgentChristoffel", - "name": "computeAgentChristoffel", - "module": "Semantics.Hardware.AgenticHardware" - }, - { - "kind": "def", - "id": "Semantics.Hardware.AgenticHardware.agentCos", - "name": "agentCos", - "module": "Semantics.Hardware.AgenticHardware" - }, - { - "kind": "def", - "id": "Semantics.Hardware.AgenticHardware.computeAgentFrustration", - "name": "computeAgentFrustration", - "module": "Semantics.Hardware.AgenticHardware" - }, - { - "kind": "def", - "id": "Semantics.Hardware.AgenticHardware.computeAgentLockingEnergy", - "name": "computeAgentLockingEnergy", - "module": "Semantics.Hardware.AgenticHardware" - }, - { - "kind": "def", - "id": "Semantics.Hardware.AgenticHardware.updateAgentStateFromGeometry", - "name": "updateAgentStateFromGeometry", - "module": "Semantics.Hardware.AgenticHardware" - }, - { - "kind": "def", - "id": "Semantics.Hardware.AgenticHardware.updateAgentStateFromChristoffel", - "name": "updateAgentStateFromChristoffel", - "module": "Semantics.Hardware.AgenticHardware" - }, - { - "kind": "module", - "id": "Semantics.Hardware.Blitter6502OISC", - "name": "Blitter6502OISC", - "path": "Semantics/Hardware/Blitter6502OISC.lean", - "namespace": "Blitter6502OISC", - "doc": "6502 OISC Blitter -- 0D Scalar Proof Engine A One-Instruction-Set Computer (OISC) with 6502 memory map semantics. The blitter verifies S3C theorems via exhaustive LUT enumeration. Proof strategy: Instead of symbolic proofs with free variables, we use native_decide on closed computations over the 8", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 3, - "struct_count": 1, - "inductive_count": 0, - "line_count": 99 - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.Blitter6502OISC.blitter_bPlusEqualsBZeroPlusOne", - "name": "blitter_bPlusEqualsBZeroPlusOne", - "module": "Semantics.Hardware.Blitter6502OISC" - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.Blitter6502OISC.blitter_throatAtShellMidpoint", - "name": "blitter_throatAtShellMidpoint", - "module": "Semantics.Hardware.Blitter6502OISC" - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.Blitter6502OISC.blitter_emitGateSimplified", - "name": "blitter_emitGateSimplified", - "module": "Semantics.Hardware.Blitter6502OISC" - }, - { - "kind": "def", - "id": "Semantics.Hardware.Blitter6502OISC.sqrtLUT8", - "name": "sqrtLUT8", - "module": "Semantics.Hardware.Blitter6502OISC" - }, - { - "kind": "def", - "id": "Semantics.Hardware.Blitter6502OISC.mirrorTerm", - "name": "mirrorTerm", - "module": "Semantics.Hardware.Blitter6502OISC" - }, - { - "kind": "def", - "id": "Semantics.Hardware.Blitter6502OISC.initCPU", - "name": "initCPU", - "module": "Semantics.Hardware.Blitter6502OISC" - }, - { - "kind": "module", - "id": "Semantics.Hardware.EmergencyBootShell", - "name": "EmergencyBootShell", - "path": "Semantics/Hardware/EmergencyBootShell.lean", - "namespace": "Semantics.Hardware.EmergencyBoot", - "doc": "Emergency Boot Shell -- Command interface and packet format Defines the Tiny IP surface extensions for emergency boot operations: Command opcodes and payloads Status byte encoding Process definitions (geometry_scan, seed_assembly, tsm_reconstruct, etc.) Specification: GEOMETRY_EMERGENCY_BOOT_WITNE", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 6, - "struct_count": 10, - "inductive_count": 3, - "line_count": 275 - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.EmergencyBootShell.commandOpcode_roundTrip", - "name": "commandOpcode_roundTrip", - "module": "Semantics.Hardware.EmergencyBootShell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootShell.commandOpcode", - "name": "commandOpcode", - "module": "Semantics.Hardware.EmergencyBootShell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootShell.parseOpcode", - "name": "parseOpcode", - "module": "Semantics.Hardware.EmergencyBootShell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootShell.statusByteToUInt8", - "name": "statusByteToUInt8", - "module": "Semantics.Hardware.EmergencyBootShell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootShell.uint8ToStatusByte", - "name": "uint8ToStatusByte", - "module": "Semantics.Hardware.EmergencyBootShell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootShell.statusFromBootState", - "name": "statusFromBootState", - "module": "Semantics.Hardware.EmergencyBootShell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootShell.executeCommand", - "name": "executeCommand", - "module": "Semantics.Hardware.EmergencyBootShell" - }, - { - "kind": "module", - "id": "Semantics.Hardware.EmergencyBootState", - "name": "EmergencyBootState", - "path": "Semantics/Hardware/EmergencyBootState.lean", - "namespace": "Semantics.Hardware.EmergencyBoot", - "doc": "Emergency Boot State -- Power failure detection and seed extraction Defines: Power failure detection (AEM20940 + TSM Safety Interlock + Solar Monitor) Solar power state and self-sufficiency checks Emergency boot state machine Geometric scan and seed assembly process Fixed-point Q16_16 arithmetic t", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 13, - "struct_count": 5, - "inductive_count": 1, - "line_count": 257 - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.EmergencyBootState.utilizationWithinBounds", - "name": "utilizationWithinBounds", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.EmergencyBootState.seedAssemblyDeterministic", - "name": "seedAssemblyDeterministic", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.EmergencyBootState.powerFailureMonotonic", - "name": "powerFailureMonotonic", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootState.selfPowerSufficient", - "name": "selfPowerSufficient", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootState.powerFailureDetected", - "name": "powerFailureDetected", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootState.prioritizeHotOpticalPaths", - "name": "prioritizeHotOpticalPaths", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootState.enterCalculatorMode", - "name": "enterCalculatorMode", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootState.initScanState", - "name": "initScanState", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootState.scanStep", - "name": "scanStep", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootState.assembleSeed", - "name": "assembleSeed", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootState.assembleAugmentedSeed", - "name": "assembleAugmentedSeed", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootState.emergencyBootUtilization", - "name": "emergencyBootUtilization", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootState.initEmergencyBoot", - "name": "initEmergencyBoot", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootState.handlePowerFailure", - "name": "handlePowerFailure", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootState.startScan", - "name": "startScan", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootState.finishScan", - "name": "finishScan", - "module": "Semantics.Hardware.EmergencyBootState" - }, - { - "kind": "module", - "id": "Semantics.Hardware.EmergencyBootTypes", - "name": "EmergencyBootTypes", - "path": "Semantics/Hardware/EmergencyBootTypes.lean", - "namespace": "Semantics.Hardware.EmergencyBoot", - "doc": "Emergency Boot Types -- Core geometric and computational types Defines the foundational types for the Geometry Emergency Boot Witness: Hexagonal coordinate system for capacitor placement Capacitance classification (low/medium/high) Optical fiber hot/cold path model Voltage differential computation ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 13, - "struct_count": 10, - "inductive_count": 3, - "line_count": 252 - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootTypes.hexToSpatialHash", - "name": "hexToSpatialHash", - "module": "Semantics.Hardware.EmergencyBootTypes" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootTypes.capClassToBits", - "name": "capClassToBits", - "module": "Semantics.Hardware.EmergencyBootTypes" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootTypes.topologyHash", - "name": "topologyHash", - "module": "Semantics.Hardware.EmergencyBootTypes" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootTypes.computeDifferential", - "name": "computeDifferential", - "module": "Semantics.Hardware.EmergencyBootTypes" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootTypes.voltageToAnalogValue", - "name": "voltageToAnalogValue", - "module": "Semantics.Hardware.EmergencyBootTypes" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootTypes.analogValueToVoltage", - "name": "analogValueToVoltage", - "module": "Semantics.Hardware.EmergencyBootTypes" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootTypes.voltageLogic", - "name": "voltageLogic", - "module": "Semantics.Hardware.EmergencyBootTypes" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootTypes.hybridComputation", - "name": "hybridComputation", - "module": "Semantics.Hardware.EmergencyBootTypes" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootTypes.memristorConductance", - "name": "memristorConductance", - "module": "Semantics.Hardware.EmergencyBootTypes" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootTypes.memristorUpdate", - "name": "memristorUpdate", - "module": "Semantics.Hardware.EmergencyBootTypes" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootTypes.verifyMemoryRetention", - "name": "verifyMemoryRetention", - "module": "Semantics.Hardware.EmergencyBootTypes" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootTypes.grapheneProperties", - "name": "grapheneProperties", - "module": "Semantics.Hardware.EmergencyBootTypes" - }, - { - "kind": "def", - "id": "Semantics.Hardware.EmergencyBootTypes.ganProperties", - "name": "ganProperties", - "module": "Semantics.Hardware.EmergencyBootTypes" - }, - { - "kind": "module", - "id": "Semantics.Hardware.HardwareExtraction", - "name": "HardwareExtraction", - "path": "Semantics/Hardware/HardwareExtraction.lean", - "namespace": "Semantics.HardwareExtraction", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team HardwareExtraction.lean \u2014 Lean 4 to Hardware Extraction Examples This module provides examples of extracting Lean 4 proofs to hardware descriptions in Verilog and Bluespec, with formal equivalence proo", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 11, - "struct_count": 4, - "inductive_count": 2, - "line_count": 284 - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.HardwareExtraction.verilogCounterMatchesLean", - "name": "verilogCounterMatchesLean", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.HardwareExtraction.bluespecCounterMatchesLean", - "name": "bluespecCounterMatchesLean", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.HardwareExtraction.fsmTransitionDeterministic", - "name": "fsmTransitionDeterministic", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.HardwareExtraction.mutexMutualExclusion", - "name": "mutexMutualExclusion", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "def", - "id": "Semantics.Hardware.HardwareExtraction.incrementCounter", - "name": "incrementCounter", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "def", - "id": "Semantics.Hardware.HardwareExtraction.extractCounterToVerilog", - "name": "extractCounterToVerilog", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "def", - "id": "Semantics.Hardware.HardwareExtraction.extractCounterToBluespec", - "name": "extractCounterToBluespec", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "def", - "id": "Semantics.Hardware.HardwareExtraction.fsmTransition", - "name": "fsmTransition", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "def", - "id": "Semantics.Hardware.HardwareExtraction.extractFSMToVerilog", - "name": "extractFSMToVerilog", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "def", - "id": "Semantics.Hardware.HardwareExtraction.extractFSMToBluespec", - "name": "extractFSMToBluespec", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "def", - "id": "Semantics.Hardware.HardwareExtraction.tryAcquireLock", - "name": "tryAcquireLock", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "def", - "id": "Semantics.Hardware.HardwareExtraction.releaseLock", - "name": "releaseLock", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "def", - "id": "Semantics.Hardware.HardwareExtraction.extractMutexToVerilog", - "name": "extractMutexToVerilog", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "def", - "id": "Semantics.Hardware.HardwareExtraction.extractMutexToBluespec", - "name": "extractMutexToBluespec", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "def", - "id": "Semantics.Hardware.HardwareExtraction.isFairMutex", - "name": "isFairMutex", - "module": "Semantics.Hardware.HardwareExtraction" - }, - { - "kind": "module", - "id": "Semantics.Hardware.LaserPathCell", - "name": "LaserPathCell", - "path": "Semantics/Hardware/LaserPathCell.lean", - "namespace": "Semantics.Hardware", - "doc": "Copyright (c) 2026 Sovereign Stack. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team Laser Path Cell FPGA Implementation Direct analogy: Laser scan path = FPGA cell state update Xu Song/Wen Chen STL-free 3D printing \u2192 Hardware cel", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 14, - "struct_count": 2, - "inductive_count": 1, - "line_count": 262 - }, - { - "kind": "def", - "id": "Semantics.Hardware.LaserPathCell.ofUInt16", - "name": "ofUInt16", - "module": "Semantics.Hardware.LaserPathCell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.LaserPathCell.ofUInt8", - "name": "ofUInt8", - "module": "Semantics.Hardware.LaserPathCell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.LaserPathCell.default", - "name": "default", - "module": "Semantics.Hardware.LaserPathCell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.LaserPathCell.thermalLoad", - "name": "thermalLoad", - "module": "Semantics.Hardware.LaserPathCell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.LaserPathCell.shellToLaserCell", - "name": "shellToLaserCell", - "module": "Semantics.Hardware.LaserPathCell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.LaserPathCell.selectScanStrategy", - "name": "selectScanStrategy", - "module": "Semantics.Hardware.LaserPathCell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.LaserPathCell.applyScan", - "name": "applyScan", - "module": "Semantics.Hardware.LaserPathCell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.LaserPathCell.laserColdWeldEnergy", - "name": "laserColdWeldEnergy", - "module": "Semantics.Hardware.LaserPathCell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.LaserPathCell.isGoodWeld", - "name": "isGoodWeld", - "module": "Semantics.Hardware.LaserPathCell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.LaserPathCell.cellIndex", - "name": "cellIndex", - "module": "Semantics.Hardware.LaserPathCell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.LaserPathCell.updateCellRow", - "name": "updateCellRow", - "module": "Semantics.Hardware.LaserPathCell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.LaserPathCell.meshRepresentationSize", - "name": "meshRepresentationSize", - "module": "Semantics.Hardware.LaserPathCell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.LaserPathCell.laserCellRepresentationSize", - "name": "laserCellRepresentationSize", - "module": "Semantics.Hardware.LaserPathCell" - }, - { - "kind": "def", - "id": "Semantics.Hardware.LaserPathCell.memoryReductionRatio", - "name": "memoryReductionRatio", - "module": "Semantics.Hardware.LaserPathCell" - }, - { - "kind": "module", - "id": "Semantics.Hardware.TangNano9K.BitstreamWitness", - "name": "BitstreamWitness", - "path": "Semantics/Hardware/TangNano9K/BitstreamWitness.lean", - "namespace": "Semantics.Hardware.TangNano9K.BitstreamWitness", - "doc": "Bitstream SHA256 Witness AGENTS.md 8.5.3: All FPGA bitstreams must be versioned with SHA256 hash in a Lean module. This module is the single source of truth for the expected hash of tangnano9k.fs. When the bitstream is regenerated, update `expectedBitstreamSha256` and re-run `lake build` to verif", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 2, - "struct_count": 0, - "inductive_count": 0, - "line_count": 41 - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.BitstreamWitness.expectedBitstreamSha256", - "name": "expectedBitstreamSha256", - "module": "Semantics.Hardware.TangNano9K.BitstreamWitness" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.BitstreamWitness.checkBitstreamWitness", - "name": "checkBitstreamWitness", - "module": "Semantics.Hardware.TangNano9K.BitstreamWitness" - }, - { - "kind": "module", - "id": "Semantics.Hardware.TangNano9K.NIICore", - "name": "NIICore", - "path": "Semantics/Hardware/TangNano9K/NIICore.lean", - "namespace": "Semantics.Hardware.TangNano9K.NIICore", - "doc": "NII Core \u2014 Formal specification of the first-order difference predictor Lean source of truth for `hardware/tangnano9k/rtl/nii_core.v`. The Verilog stub implements: nii_a = sat_clip(obs_a - prev_a, CLIP) prev_a := obs_a with identical rules for t, g, c channels. This module formalizes the update r", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 4, - "struct_count": 1, - "inductive_count": 0, - "line_count": 161 - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.TangNano9K.NIICore.niiOutputBounded", - "name": "niiOutputBounded", - "module": "Semantics.Hardware.TangNano9K.NIICore" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.NIICore.clamp", - "name": "clamp", - "module": "Semantics.Hardware.TangNano9K.NIICore" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.NIICore.niiStep", - "name": "niiStep", - "module": "Semantics.Hardware.TangNano9K.NIICore" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.NIICore.emitNIICore", - "name": "emitNIICore", - "module": "Semantics.Hardware.TangNano9K.NIICore" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.NIICore.checkNIICoreWitness", - "name": "checkNIICoreWitness", - "module": "Semantics.Hardware.TangNano9K.NIICore" - }, - { - "kind": "module", - "id": "Semantics.Hardware.TangNano9K.RGFlowFAMM", - "name": "RGFlowFAMM", - "path": "Semantics/Hardware/TangNano9K/RGFlowFAMM.lean", - "namespace": "Semantics.Hardware.TangNano9K.RGFlowFAMM", - "doc": "RGFlow + FAMM \u2014 Formal specification Lean source of truth for hardware/tangnano9k/rtl/rgflow_famm.v. Mirrors the Python balanced5 reference model: scripts/snn/snn_nii_reference.py (rgflow_step + famm_update) Theorem targets: All outputs bounded (sigma \u2208 [0,1023], FAMM counters \u2208 [0,255]) -------", - "math_kind": "routing", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 6, - "struct_count": 4, - "inductive_count": 0, - "line_count": 330 - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.TangNano9K.RGFlowFAMM.rgflowSigmaBounded", - "name": "rgflowSigmaBounded", - "module": "Semantics.Hardware.TangNano9K.RGFlowFAMM" - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.TangNano9K.RGFlowFAMM.rgflowRPBounded", - "name": "rgflowRPBounded", - "module": "Semantics.Hardware.TangNano9K.RGFlowFAMM" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.RGFlowFAMM.sat8Add", - "name": "sat8Add", - "module": "Semantics.Hardware.TangNano9K.RGFlowFAMM" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.RGFlowFAMM.linDecay", - "name": "linDecay", - "module": "Semantics.Hardware.TangNano9K.RGFlowFAMM" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.RGFlowFAMM.absS", - "name": "absS", - "module": "Semantics.Hardware.TangNano9K.RGFlowFAMM" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.RGFlowFAMM.rgflowStep", - "name": "rgflowStep", - "module": "Semantics.Hardware.TangNano9K.RGFlowFAMM" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.RGFlowFAMM.fammUpdate", - "name": "fammUpdate", - "module": "Semantics.Hardware.TangNano9K.RGFlowFAMM" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.RGFlowFAMM.emitRGFlowFAMM", - "name": "emitRGFlowFAMM", - "module": "Semantics.Hardware.TangNano9K.RGFlowFAMM" - }, - { - "kind": "module", - "id": "Semantics.Hardware.TangNano9K", - "name": "TangNano9K", - "path": "Semantics/Hardware/TangNano9K.lean", - "namespace": "Semantics.Hardware.TangNano9K", - "doc": "Genome18 Address \u2014 Verilog extraction target Lean source of truth: Genome18.addr Verilog extraction: combinational assign matching the exact arithmetic. The emitted module is parameter-free and uses only constant multiplications that Yosys/Gowin synthesize to shifts/adds. ------------------------", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 4, - "struct_count": 0, - "inductive_count": 0, - "line_count": 175 - }, - { - "kind": "theorem", - "id": "Semantics.Hardware.TangNano9K.verilogAddr_eq_addr", - "name": "verilogAddr_eq_addr", - "module": "Semantics.Hardware.TangNano9K" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.verilogAddr", - "name": "verilogAddr", - "module": "Semantics.Hardware.TangNano9K" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.emitGenome18Address", - "name": "emitGenome18Address", - "module": "Semantics.Hardware.TangNano9K" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.emitQ16_16ALU", - "name": "emitQ16_16ALU", - "module": "Semantics.Hardware.TangNano9K" - }, - { - "kind": "def", - "id": "Semantics.Hardware.TangNano9K.checkAllGenome18", - "name": "checkAllGenome18", - "module": "Semantics.Hardware.TangNano9K" - }, - { - "kind": "module", - "id": "Semantics.HermesAgentIntegration", - "name": "HermesAgentIntegration", - "path": "Semantics/HermesAgentIntegration.lean", - "namespace": "Semantics.HermesAgentIntegration", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team HermesAgentIntegration.lean \u2014 Field Operator Integration Boundary This module formalizes the integration of Hermes Agent as a field operator, messenger, and skill runtime that remains subordinate to Le", - "math_kind": "avm", - "sorry_count": 7, - "theorem_count": 3, - "def_count": 13, - "struct_count": 2, - "inductive_count": 3, - "line_count": 319 - }, - { - "kind": "theorem", - "id": "Semantics.HermesAgentIntegration.readOnlyCannotPromote", - "name": "readOnlyCannotPromote", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "theorem", - "id": "Semantics.HermesAgentIntegration.emptyReceiptsVacuousPromote", - "name": "emptyReceiptsVacuousPromote", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "theorem", - "id": "Semantics.HermesAgentIntegration.defaultStatusIsHold", - "name": "defaultStatusIsHold", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "def", - "id": "Semantics.HermesAgentIntegration.toString", - "name": "toString", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "def", - "id": "Semantics.HermesAgentIntegration.all", - "name": "all", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "def", - "id": "Semantics.HermesAgentIntegration.defaultHermesStatus", - "name": "defaultHermesStatus", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "def", - "id": "Semantics.HermesAgentIntegration.isReadOnly", - "name": "isReadOnly", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "def", - "id": "Semantics.HermesAgentIntegration.requiresReceipts", - "name": "requiresReceipts", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "def", - "id": "Semantics.HermesAgentIntegration.canPromote", - "name": "canPromote", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "def", - "id": "Semantics.HermesAgentIntegration.gclProvenanceCff", - "name": "gclProvenanceCff", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "def", - "id": "Semantics.HermesAgentIntegration.leanSorryAudit", - "name": "leanSorryAudit", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "def", - "id": "Semantics.HermesAgentIntegration.adapterSpecWriter", - "name": "adapterSpecWriter", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "def", - "id": "Semantics.HermesAgentIntegration.deepseekReviewBundle", - "name": "deepseekReviewBundle", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "def", - "id": "Semantics.HermesAgentIntegration.wardenTriage", - "name": "wardenTriage", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "def", - "id": "Semantics.HermesAgentIntegration.skillRunToReceiptCore", - "name": "skillRunToReceiptCore", - "module": "Semantics.HermesAgentIntegration" - }, - { - "kind": "module", - "id": "Semantics.HexLogogramAtlas", - "name": "HexLogogramAtlas", - "path": "Semantics/HexLogogramAtlas.lean", - "namespace": "Semantics.HexLogogramAtlas", - "doc": "# HexLogogramAtlas A HexLogogramAtlas is a deterministic seed-generated map from typed token or Mass Number coordinates into reusable logogram groups. It is the logogram grouping layer above `LadderLUT`: the hex seed does not store the words or glyphs; it stores the replayable grouping law that ch", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 7, - "def_count": 14, - "struct_count": 1, - "inductive_count": 1, - "line_count": 210 - }, - { - "kind": "theorem", - "id": "Semantics.HexLogogramAtlas.smallAffineReplayGroups", - "name": "smallAffineReplayGroups", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "theorem", - "id": "Semantics.HexLogogramAtlas.canonicalHexAtlasPromotable", - "name": "canonicalHexAtlasPromotable", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "theorem", - "id": "Semantics.HexLogogramAtlas.tinyHexAtlasNotPromotable", - "name": "tinyHexAtlasNotPromotable", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "theorem", - "id": "Semantics.HexLogogramAtlas.badHexBaseAtlasNotPromotable", - "name": "badHexBaseAtlasNotPromotable", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "theorem", - "id": "Semantics.HexLogogramAtlas.badGroupAtlasNotPromotable", - "name": "badGroupAtlasNotPromotable", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "theorem", - "id": "Semantics.HexLogogramAtlas.promotableAtlasStructurallyValid", - "name": "promotableAtlasStructurallyValid", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "theorem", - "id": "Semantics.HexLogogramAtlas.promotableAtlasSatisfiesByteLaw", - "name": "promotableAtlasSatisfiesByteLaw", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "def", - "id": "Semantics.HexLogogramAtlas.expectedHexBase", - "name": "expectedHexBase", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "def", - "id": "Semantics.HexLogogramAtlas.atlasStructurallyValid", - "name": "atlasStructurallyValid", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "def", - "id": "Semantics.HexLogogramAtlas.atlasRawValueAt", - "name": "atlasRawValueAt", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "def", - "id": "Semantics.HexLogogramAtlas.atlasGroupAt", - "name": "atlasGroupAt", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "def", - "id": "Semantics.HexLogogramAtlas.replayAtlasGroups", - "name": "replayAtlasGroups", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "def", - "id": "Semantics.HexLogogramAtlas.explicitAtlasBytes", - "name": "explicitAtlasBytes", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "def", - "id": "Semantics.HexLogogramAtlas.atlasEncodedBytes", - "name": "atlasEncodedBytes", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "def", - "id": "Semantics.HexLogogramAtlas.atlasByteLawHolds", - "name": "atlasByteLawHolds", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "def", - "id": "Semantics.HexLogogramAtlas.atlasPromotable", - "name": "atlasPromotable", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "def", - "id": "Semantics.HexLogogramAtlas.smallAffineAtlas", - "name": "smallAffineAtlas", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "def", - "id": "Semantics.HexLogogramAtlas.canonicalHexAtlas", - "name": "canonicalHexAtlas", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "def", - "id": "Semantics.HexLogogramAtlas.tinyHexAtlas", - "name": "tinyHexAtlas", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "def", - "id": "Semantics.HexLogogramAtlas.badHexBaseAtlas", - "name": "badHexBaseAtlas", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "def", - "id": "Semantics.HexLogogramAtlas.badGroupAtlas", - "name": "badGroupAtlas", - "module": "Semantics.HexLogogramAtlas" - }, - { - "kind": "module", - "id": "Semantics.HolographicProjection", - "name": "HolographicProjection", - "path": "Semantics/HolographicProjection.lean", - "namespace": "Semantics.HolographicProjection", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 9, - "struct_count": 4, - "inductive_count": 0, - "line_count": 236 - }, - { - "kind": "theorem", - "id": "Semantics.HolographicProjection.lawfulActionReducesEntropy", - "name": "lawfulActionReducesEntropy", - "module": "Semantics.HolographicProjection" - }, - { - "kind": "theorem", - "id": "Semantics.HolographicProjection.holographicProjectionPreservesCoherence", - "name": "holographicProjectionPreservesCoherence", - "module": "Semantics.HolographicProjection" - }, - { - "kind": "def", - "id": "Semantics.HolographicProjection.projectionKernel", - "name": "projectionKernel", - "module": "Semantics.HolographicProjection" - }, - { - "kind": "def", - "id": "Semantics.HolographicProjection.holographicProjection", - "name": "holographicProjection", - "module": "Semantics.HolographicProjection" - }, - { - "kind": "def", - "id": "Semantics.HolographicProjection.entropyReduction", - "name": "entropyReduction", - "module": "Semantics.HolographicProjection" - }, - { - "kind": "def", - "id": "Semantics.HolographicProjection.isStabilized", - "name": "isStabilized", - "module": "Semantics.HolographicProjection" - }, - { - "kind": "def", - "id": "Semantics.HolographicProjection.applyStabilization", - "name": "applyStabilization", - "module": "Semantics.HolographicProjection" - }, - { - "kind": "def", - "id": "Semantics.HolographicProjection.calculateStabilizationProbability", - "name": "calculateStabilizationProbability", - "module": "Semantics.HolographicProjection" - }, - { - "kind": "def", - "id": "Semantics.HolographicProjection.isHolographicActionLawful", - "name": "isHolographicActionLawful", - "module": "Semantics.HolographicProjection" - }, - { - "kind": "def", - "id": "Semantics.HolographicProjection.updateSurfacePoint", - "name": "updateSurfacePoint", - "module": "Semantics.HolographicProjection" - }, - { - "kind": "def", - "id": "Semantics.HolographicProjection.holographicBind", - "name": "holographicBind", - "module": "Semantics.HolographicProjection" - }, - { - "kind": "module", - "id": "Semantics.HonestParameterReport", - "name": "HonestParameterReport", - "path": "Semantics/HonestParameterReport.lean", - "namespace": "Semantics.HonestParameterReport", - "doc": "HonestParameterReport.lean \u2014 Full Parameter Accounting for BraidCore This module explicitly lists every parameter used by the BraidCore framework, marks each as Derived, Fitted, PostHoc, or Adopted, and locks the total count in Lean. This directly addresses the adversarial review's Attack #5 (\"Par", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 9, - "def_count": 18, - "struct_count": 1, - "inductive_count": 1, - "line_count": 290 - }, - { - "kind": "theorem", - "id": "Semantics.HonestParameterReport.for", - "name": "for", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "theorem", - "id": "Semantics.HonestParameterReport.totalParameterCount_is13", - "name": "totalParameterCount_is13", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "theorem", - "id": "Semantics.HonestParameterReport.fittedCount_is4", - "name": "fittedCount_is4", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "theorem", - "id": "Semantics.HonestParameterReport.postHocCount_is3", - "name": "postHocCount_is3", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "theorem", - "id": "Semantics.HonestParameterReport.tuningCount_is4", - "name": "tuningCount_is4", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "theorem", - "id": "Semantics.HonestParameterReport.adoptedCount_is2", - "name": "adoptedCount_is2", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "theorem", - "id": "Semantics.HonestParameterReport.derivedCount_is0", - "name": "derivedCount_is0", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "theorem", - "id": "Semantics.HonestParameterReport.parameterBudgetBalanced", - "name": "parameterBudgetBalanced", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "theorem", - "id": "Semantics.HonestParameterReport.corr1Loop_isFitted_notDerived", - "name": "corr1Loop_isFitted_notDerived", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.Provenance", - "name": "Provenance", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.mkParameter", - "name": "mkParameter", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.p01_zMenger", - "name": "p01_zMenger", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.p02_corr1Loop", - "name": "p02_corr1Loop", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.p03_corr2Loop", - "name": "p03_corr2Loop", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.p04_alphaT", - "name": "p04_alphaT", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.p05_sqrt10", - "name": "p05_sqrt10", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.p06_alphaCore", - "name": "p06_alphaCore", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.p07_sigmaSq", - "name": "p07_sigmaSq", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.p08_gradeThresholds", - "name": "p08_gradeThresholds", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.p09_domainClassification", - "name": "p09_domainClassification", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.p10_correctionLevel", - "name": "p10_correctionLevel", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.p11_P0", - "name": "p11_P0", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.p12_zTolerance", - "name": "p12_zTolerance", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.p13_sweetSpotBounds", - "name": "p13_sweetSpotBounds", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.parameterRegistry", - "name": "parameterRegistry", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.totalParameterCount", - "name": "totalParameterCount", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "def", - "id": "Semantics.HonestParameterReport.countByProvenance", - "name": "countByProvenance", - "module": "Semantics.HonestParameterReport" - }, - { - "kind": "module", - "id": "Semantics.HormoneDeriv", - "name": "HormoneDeriv", - "path": "Semantics/HormoneDeriv.lean", - "namespace": "Semantics.HormoneDeriv", - "doc": "HormoneDeriv.lean - Neuroendocrine Control System Bindings Ports rows 121, 122, 138 from MATH_MODEL_MAP.tsv (Python \u2192 Lean). Q16.16: 1.0 = 65536. All hormone concentrations \u2208 [0,1] \u2192 [0, 65536].", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 10, - "struct_count": 1, - "inductive_count": 0, - "line_count": 79 - }, - { - "kind": "def", - "id": "Semantics.HormoneDeriv.epsilon", - "name": "epsilon", - "module": "Semantics.HormoneDeriv" - }, - { - "kind": "def", - "id": "Semantics.HormoneDeriv.ln2", - "name": "ln2", - "module": "Semantics.HormoneDeriv" - }, - { - "kind": "def", - "id": "Semantics.HormoneDeriv.halfLifeToDecayRate", - "name": "halfLifeToDecayRate", - "module": "Semantics.HormoneDeriv" - }, - { - "kind": "def", - "id": "Semantics.HormoneDeriv.logitApprox", - "name": "logitApprox", - "module": "Semantics.HormoneDeriv" - }, - { - "kind": "def", - "id": "Semantics.HormoneDeriv.logitZNorm", - "name": "logitZNorm", - "module": "Semantics.HormoneDeriv" - }, - { - "kind": "def", - "id": "Semantics.HormoneDeriv.concentrationDecay", - "name": "concentrationDecay", - "module": "Semantics.HormoneDeriv" - }, - { - "kind": "def", - "id": "Semantics.HormoneDeriv.advanceHormone", - "name": "advanceHormone", - "module": "Semantics.HormoneDeriv" - }, - { - "kind": "def", - "id": "Semantics.HormoneDeriv.hormoneInvariant", - "name": "hormoneInvariant", - "module": "Semantics.HormoneDeriv" - }, - { - "kind": "def", - "id": "Semantics.HormoneDeriv.hormoneCost", - "name": "hormoneCost", - "module": "Semantics.HormoneDeriv" - }, - { - "kind": "def", - "id": "Semantics.HormoneDeriv.hormoneBind", - "name": "hormoneBind", - "module": "Semantics.HormoneDeriv" - }, - { - "kind": "module", - "id": "Semantics.HotPathColdPath", - "name": "HotPathColdPath", - "path": "Semantics/HotPathColdPath.lean", - "namespace": "Semantics.HotPathColdPath", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 10, - "struct_count": 4, - "inductive_count": 1, - "line_count": 269 - }, - { - "kind": "theorem", - "id": "Semantics.HotPathColdPath.lawfulAdjustmentMaintainsBalance", - "name": "lawfulAdjustmentMaintainsBalance", - "module": "Semantics.HotPathColdPath" - }, - { - "kind": "theorem", - "id": "Semantics.HotPathColdPath.hotPathMonotonicWithFrequency", - "name": "hotPathMonotonicWithFrequency", - "module": "Semantics.HotPathColdPath" - }, - { - "kind": "def", - "id": "Semantics.HotPathColdPath.branchPrediction", - "name": "branchPrediction", - "module": "Semantics.HotPathColdPath" - }, - { - "kind": "def", - "id": "Semantics.HotPathColdPath.sluqRouting", - "name": "sluqRouting", - "module": "Semantics.HotPathColdPath" - }, - { - "kind": "def", - "id": "Semantics.HotPathColdPath.classifyPath", - "name": "classifyPath", - "module": "Semantics.HotPathColdPath" - }, - { - "kind": "def", - "id": "Semantics.HotPathColdPath.calculateHotPathProbability", - "name": "calculateHotPathProbability", - "module": "Semantics.HotPathColdPath" - }, - { - "kind": "def", - "id": "Semantics.HotPathColdPath.calculateColdPathProbability", - "name": "calculateColdPathProbability", - "module": "Semantics.HotPathColdPath" - }, - { - "kind": "def", - "id": "Semantics.HotPathColdPath.calculateUnifiedAdjustment", - "name": "calculateUnifiedAdjustment", - "module": "Semantics.HotPathColdPath" - }, - { - "kind": "def", - "id": "Semantics.HotPathColdPath.updateUnifiedTopology", - "name": "updateUnifiedTopology", - "module": "Semantics.HotPathColdPath" - }, - { - "kind": "def", - "id": "Semantics.HotPathColdPath.isTopologyAdjustmentLawful", - "name": "isTopologyAdjustmentLawful", - "module": "Semantics.HotPathColdPath" - }, - { - "kind": "def", - "id": "Semantics.HotPathColdPath.updateNodePattern", - "name": "updateNodePattern", - "module": "Semantics.HotPathColdPath" - }, - { - "kind": "def", - "id": "Semantics.HotPathColdPath.topologyAdjustmentBind", - "name": "topologyAdjustmentBind", - "module": "Semantics.HotPathColdPath" - }, - { - "kind": "module", - "id": "Semantics.HouseholderQR", - "name": "HouseholderQR", - "path": "Semantics/HouseholderQR.lean", - "namespace": "Semantics.HouseholderQR", - "doc": "HouseholderQR.lean \u2014 Householder QR factorization for O_AMMR Implements Householder reflections for QR factorization: H = I - 2vv^T/(v^T v) QR = H_1 H_2 ... H_n A Key properties: More numerically stable than Gram-Schmidt Each reflection is orthogonal: H^T H = I Incremental update: add column and u", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 21, - "struct_count": 5, - "inductive_count": 0, - "line_count": 224 - }, - { - "kind": "def", - "id": "Semantics.HouseholderQR.Q16Vec", - "name": "Q16Vec", - "module": "Semantics.HouseholderQR" - }, - { - "kind": "def", - "id": "Semantics.HouseholderQR.Q16Mat", - "name": "Q16Mat", - "module": "Semantics.HouseholderQR" - }, - { - "kind": "def", - "id": "Semantics.HouseholderQR.householderVector", - "name": "householderVector", - "module": "Semantics.HouseholderQR" - }, - { - "kind": "def", - "id": "Semantics.HouseholderQR.applyReflection", - "name": "applyReflection", - "module": "Semantics.HouseholderQR" - }, - { - "kind": "def", - "id": "Semantics.HouseholderQR.applyReflectionToCol", - "name": "applyReflectionToCol", - "module": "Semantics.HouseholderQR" - }, - { - "kind": "def", - "id": "Semantics.HouseholderQR.qrFactorize", - "name": "qrFactorize", - "module": "Semantics.HouseholderQR" - }, - { - "kind": "def", - "id": "Semantics.HouseholderQR.incrementalUpdate", - "name": "incrementalUpdate", - "module": "Semantics.HouseholderQR" - }, - { - "kind": "def", - "id": "Semantics.HouseholderQR.quantize", - "name": "quantize", - "module": "Semantics.HouseholderQR" - }, - { - "kind": "def", - "id": "Semantics.HouseholderQR.quantizeVec", - "name": "quantizeVec", - "module": "Semantics.HouseholderQR" - }, - { - "kind": "def", - "id": "Semantics.HouseholderQR.quantizeMatCol", - "name": "quantizeMatCol", - "module": "Semantics.HouseholderQR" - }, - { - "kind": "def", - "id": "Semantics.HouseholderQR.O_AMMR_QRNode_valid", - "name": "O_AMMR_QRNode_valid", - "module": "Semantics.HouseholderQR" - }, - { - "kind": "module", - "id": "Semantics.HumanNeuralCompression", - "name": "HumanNeuralCompression", - "path": "Semantics/HumanNeuralCompression.lean", - "namespace": "Semantics.HumanNeuralCompression", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team HumanNeuralCompressionVerification.lean \u2014 Formal Witnesses for Human Neural Coding This module provides formal verification that the 4-layer compression pipeline has theorem-backed constraints for huma", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 15, - "def_count": 32, - "struct_count": 3, - "inductive_count": 1, - "line_count": 565 - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.topologicalPreservationWithinBudget", - "name": "topologicalPreservationWithinBudget", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.layer1ErrorWithinBudget", - "name": "layer1ErrorWithinBudget", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.layer2ErrorWithinBudget", - "name": "layer2ErrorWithinBudget", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.layer3ErrorWithinBudget", - "name": "layer3ErrorWithinBudget", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.layer4ErrorWithinBudget", - "name": "layer4ErrorWithinBudget", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.totalRatioAchievesTarget", - "name": "totalRatioAchievesTarget", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.totalErrorBelowOnePercent", - "name": "totalErrorBelowOnePercent", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.pumpPhaseWindowsWithinBounds", - "name": "pumpPhaseWindowsWithinBounds", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.snowballGrowthWithinBounds", - "name": "snowballGrowthWithinBounds", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.electronOrbitalLoadsWithinBounds", - "name": "electronOrbitalLoadsWithinBounds", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.sigma65ConfidenceAchievedWithPumpPhase", - "name": "sigma65ConfidenceAchievedWithPumpPhase", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.effectiveCompressionAchievesTarget", - "name": "effectiveCompressionAchievesTarget", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.compressedSizeWithinTarget", - "name": "compressedSizeWithinTarget", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.temporalSamplingPreservesInvariant", - "name": "temporalSamplingPreservesInvariant", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompression.pumpPhaseExtendsSafeWindow", - "name": "pumpPhaseExtendsSafeWindow", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.humanNeuronCount", - "name": "humanNeuronCount", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.fullStateSizePb", - "name": "fullStateSizePb", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.targetCompressedMinGb", - "name": "targetCompressedMinGb", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.targetCompressedMaxGb", - "name": "targetCompressedMaxGb", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.targetCompressionRatio", - "name": "targetCompressionRatio", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.sigma65ErrorBudget", - "name": "sigma65ErrorBudget", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.preservationTarget", - "name": "preservationTarget", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.sigma65TopologicalBudget", - "name": "sigma65TopologicalBudget", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.layer1DeltaExtraction", - "name": "layer1DeltaExtraction", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.layer2GeneticCodon", - "name": "layer2GeneticCodon", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.layer3DeltaGcl", - "name": "layer3DeltaGcl", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.layer4SwarmComposition", - "name": "layer4SwarmComposition", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.PrecisionTier", - "name": "PrecisionTier", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.wireProtocolQ08", - "name": "wireProtocolQ08", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.layer1Precision", - "name": "layer1Precision", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.layer2Precision", - "name": "layer2Precision", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.layer3Precision", - "name": "layer3Precision", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.layer4Precision", - "name": "layer4Precision", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.tailEventPrecision", - "name": "tailEventPrecision", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompression.effectiveLayerSize", - "name": "effectiveLayerSize", - "module": "Semantics.HumanNeuralCompression" - }, - { - "kind": "module", - "id": "Semantics.HumanNeuralCompressionVerification", - "name": "HumanNeuralCompressionVerification", - "path": "Semantics/HumanNeuralCompressionVerification.lean", - "namespace": "Semantics.HumanNeuralCompressionVerification", - "doc": "# Human Neural Compression Verification This module records the hard finite-state obstruction behind any claimed lossless compression of arbitrary neural snapshots: a smaller finite code space cannot injectively represent a larger finite source space. The result is intentionally modest. It does no", - "math_kind": "general", - "sorry_count": 0, - "theorem_count": 10, - "def_count": 10, - "struct_count": 1, - "inductive_count": 0, - "line_count": 130 - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompressionVerification.minimumCompressionRatio_eq", - "name": "minimumCompressionRatio_eq", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompressionVerification.idealCompressionRatio_eq", - "name": "idealCompressionRatio_eq", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompressionVerification.effectiveUncompressedGb_eq", - "name": "effectiveUncompressedGb_eq", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompressionVerification.effectiveMinimumRatio_eq", - "name": "effectiveMinimumRatio_eq", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompressionVerification.byte_budget_strictly_smaller", - "name": "byte_budget_strictly_smaller", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompressionVerification.lossless_witness_requires_capacity", - "name": "lossless_witness_requires_capacity", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompressionVerification.no_injective_compression_to_smaller_fintype", - "name": "no_injective_compression_to_smaller_fintype", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompressionVerification.no_lossless_universal_compression", - "name": "no_lossless_universal_compression", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompressionVerification.arbitrary_lossless_compression_impossible", - "name": "arbitrary_lossless_compression_impossible", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "theorem", - "id": "Semantics.HumanNeuralCompressionVerification.onePbTo800Gb_needs_extra_model_structure", - "name": "onePbTo800Gb_needs_extra_model_structure", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompressionVerification.uncompressedStateGb", - "name": "uncompressedStateGb", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompressionVerification.targetMaxGb", - "name": "targetMaxGb", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompressionVerification.targetMinGb", - "name": "targetMinGb", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompressionVerification.minimumCompressionRatio", - "name": "minimumCompressionRatio", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompressionVerification.idealCompressionRatio", - "name": "idealCompressionRatio", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompressionVerification.activeRatioPercent", - "name": "activeRatioPercent", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompressionVerification.effectiveUncompressedGb", - "name": "effectiveUncompressedGb", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompressionVerification.effectiveMinimumRatio", - "name": "effectiveMinimumRatio", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompressionVerification.uncompressedBytes", - "name": "uncompressedBytes", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "def", - "id": "Semantics.HumanNeuralCompressionVerification.compressedBytes", - "name": "compressedBytes", - "module": "Semantics.HumanNeuralCompressionVerification" - }, - { - "kind": "mathlib", - "id": "Mathlib.Data.Fintype.Card", - "name": "Mathlib.Data.Fintype.Card" - }, - { - "kind": "module", - "id": "Semantics.Hutter", - "name": "Hutter", - "path": "Semantics/Hutter.lean", - "namespace": "Semantics.Hutter", - "doc": "A HutterCell represents a pair of bytes decomposed into 4-bit nibbles. Matches the behavior of `byte_to_cell_pair` in the Python extraction target.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 2, - "inductive_count": 0, - "line_count": 61 - }, - { - "kind": "def", - "id": "Semantics.Hutter.signature", - "name": "signature", - "module": "Semantics.Hutter" - }, - { - "kind": "def", - "id": "Semantics.Hutter.admissibilityRatio", - "name": "admissibilityRatio", - "module": "Semantics.Hutter" - }, - { - "kind": "def", - "id": "Semantics.Hutter.hutterInvariant", - "name": "hutterInvariant", - "module": "Semantics.Hutter" - }, - { - "kind": "def", - "id": "Semantics.Hutter.hutterCost", - "name": "hutterCost", - "module": "Semantics.Hutter" - }, - { - "kind": "def", - "id": "Semantics.Hutter.hutterBind", - "name": "hutterBind", - "module": "Semantics.Hutter" - }, - { - "kind": "module", - "id": "Semantics.HutterMaximumCompression", - "name": "HutterMaximumCompression", - "path": "Semantics/HutterMaximumCompression.lean", - "namespace": "Semantics.HutterMaximumCompression", - "doc": "def isqrt (n : Nat) : Nat := if n = 0 then 0 else let rec loop (low high : Nat) : Nat := if low + 1 >= high then low else let mid := (low + high) / 2 if mid * mid <= n then loop mid high else loop low mid loop 0 (n + 1) /-! # Hutter Prize Maximum Compression Maximum compression approach for Hutter", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 7, - "def_count": 19, - "struct_count": 4, - "inductive_count": 1, - "line_count": 404 - }, - { - "kind": "theorem", - "id": "Semantics.HutterMaximumCompression.foundationVectorDistance_nonneg", - "name": "foundationVectorDistance_nonneg", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HutterMaximumCompression.streetTransitionCost_bounded", - "name": "streetTransitionCost_bounded", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HutterMaximumCompression.rgflowScaleDistance_bounded", - "name": "rgflowScaleDistance_bounded", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HutterMaximumCompression.substrateExecutionCost_bounded", - "name": "substrateExecutionCost_bounded", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HutterMaximumCompression.routeCost_nonneg", - "name": "routeCost_nonneg", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HutterMaximumCompression.compressionRatio_nonneg", - "name": "compressionRatio_nonneg", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HutterMaximumCompression.lawfulSymbols_le_emitted", - "name": "lawfulSymbols_le_emitted", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.isqrt", - "name": "isqrt", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.initContext", - "name": "initContext", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.computeFoundationVector", - "name": "computeFoundationVector", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.foundationVectorDistance", - "name": "foundationVectorDistance", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.streetMembership", - "name": "streetMembership", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.streetTransitionCost", - "name": "streetTransitionCost", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.rgflowScaleDistance", - "name": "rgflowScaleDistance", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.substrateExecutionCost", - "name": "substrateExecutionCost", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.proofObligationCost", - "name": "proofObligationCost", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.failureRisk", - "name": "failureRisk", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.throatBonus", - "name": "throatBonus", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.fammMemoryBonus", - "name": "fammMemoryBonus", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.routeCost", - "name": "routeCost", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.shouldEmit", - "name": "shouldEmit", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.emitSymbol", - "name": "emitSymbol", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.computeMetrics", - "name": "computeMetrics", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.compressionInvariant", - "name": "compressionInvariant", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.compressionCost", - "name": "compressionCost", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterMaximumCompression.hutterMaximumCompressionBind", - "name": "hutterMaximumCompressionBind", - "module": "Semantics.HutterMaximumCompression" - }, - { - "kind": "module", - "id": "Semantics.HutterPrizeCompression", - "name": "HutterPrizeCompression", - "path": "Semantics/HutterPrizeCompression.lean", - "namespace": "Semantics.HutterPrizeCompression", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team HutterPrizeCompression.lean \u2014 Formalization of Winning Hutter Prize Equation Implements the winning equation from WGSL parallel hypothesis generation: C = (0.4*C_comp + 0.35*C_phys + 0.25*C_geom) \u00d7 (S ", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 6, - "def_count": 23, - "struct_count": 6, - "inductive_count": 0, - "line_count": 420 - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeCompression.weightedLeSelf", - "name": "weightedLeSelf", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeCompression.unifiedFieldBounded", - "name": "unifiedFieldBounded", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeCompression.manifoldScalingBounded", - "name": "manifoldScalingBounded", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeCompression.hutterPrizeCompressionBounded", - "name": "hutterPrizeCompressionBounded", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeCompression.compressionRatioBounded", - "name": "compressionRatioBounded", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeCompression.targetLessThanRecord", - "name": "targetLessThanRecord", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.computeUnifiedField", - "name": "computeUnifiedField", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.assignMassIndex", - "name": "assignMassIndex", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.unifiedFieldBoundedMassIndex", - "name": "unifiedFieldBoundedMassIndex", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.manifoldScalingBoundedMassIndex", - "name": "manifoldScalingBoundedMassIndex", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.hutterPrizeCompressionBoundedMassIndex", - "name": "hutterPrizeCompressionBoundedMassIndex", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.compressionRatioBoundedMassIndex", - "name": "compressionRatioBoundedMassIndex", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.searchSpace", - "name": "searchSpace", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.currentSearchPosition", - "name": "currentSearchPosition", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.initGpuSearch", - "name": "initGpuSearch", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.assignProofSearchDuty", - "name": "assignProofSearchDuty", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.gpuAcceleratedUnifiedFieldSearch", - "name": "gpuAcceleratedUnifiedFieldSearch", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.computeManifoldScaling", - "name": "computeManifoldScaling", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.computeHutterPrizeCompression", - "name": "computeHutterPrizeCompression", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.compressionRatioSI", - "name": "compressionRatioSI", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.compressionPercentage", - "name": "compressionPercentage", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.compressionRatioFromPercentage", - "name": "compressionRatioFromPercentage", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.hutterPrizeFormat", - "name": "hutterPrizeFormat", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.hutterRecordRatio", - "name": "hutterRecordRatio", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.hutterTargetRatio", - "name": "hutterTargetRatio", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeCompression.beatsHutterTarget", - "name": "beatsHutterTarget", - "module": "Semantics.HutterPrizeCompression" - }, - { - "kind": "module", - "id": "Semantics.HutterPrizeFlow", - "name": "HutterPrizeFlow", - "path": "Semantics/HutterPrizeFlow.lean", - "namespace": "Semantics.HutterPrizeFlow", - "doc": "HutterPrizeFlow.lean A Hutter-Prize-oriented reduced flow model. This file specializes the earlier unified conviction/flow machinery to an objective shaped like the real compression target: total score \u2248 archive size + decoder complexity + resource penalties in a reduced finite-dimensional state", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 14, - "def_count": 30, - "struct_count": 1, - "inductive_count": 0, - "line_count": 397 - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeFlow.numerator_nonneg", - "name": "numerator_nonneg", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeFlow.geometry_pos", - "name": "geometry_pos", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeFlow.energy_pos", - "name": "energy_pos", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeFlow.phi_nonneg", - "name": "phi_nonneg", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeFlow.decoderTerm_nonneg", - "name": "decoderTerm_nonneg", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeFlow.resourceTerm_nonneg", - "name": "resourceTerm_nonneg", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeFlow.phiHP_lower_bound", - "name": "phiHP_lower_bound", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeFlow.phiHP_ge_phi_minus_comp", - "name": "phiHP_ge_phi_minus_comp", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeFlow.phiHP_ge_phi_of_zeroComp", - "name": "phiHP_ge_phi_of_zeroComp", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeFlow.increasing_decoder_cost_increases_phiHP", - "name": "increasing_decoder_cost_increases_phiHP", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeFlow.increasing_resource_cost_increases_phiHP", - "name": "increasing_resource_cost_increases_phiHP", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeFlow.sufficient_compression_gain_can_offset_penalties", - "name": "sufficient_compression_gain_can_offset_penalties", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeFlow.flowHP_differs_from_base_on_tau", - "name": "flowHP_differs_from_base_on_tau", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeFlow.flowHP_differs_from_base_on_sigma", - "name": "flowHP_differs_from_base_on_sigma", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.rho", - "name": "rho", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.v", - "name": "v", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.tau", - "name": "tau", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.sigma", - "name": "sigma", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.q", - "name": "q", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.kappa", - "name": "kappa", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.eps", - "name": "eps", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.mk", - "name": "mk", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.neg", - "name": "neg", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.add", - "name": "add", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.smul", - "name": "smul", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.WellFormed", - "name": "WellFormed", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.numerator", - "name": "numerator", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.geometry", - "name": "geometry", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.energy", - "name": "energy", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.phi", - "name": "phi", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.gradPhi", - "name": "gradPhi", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.flow", - "name": "flow", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.compressionTerm", - "name": "compressionTerm", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeFlow.decoderTerm", - "name": "decoderTerm", - "module": "Semantics.HutterPrizeFlow" - }, - { - "kind": "module", - "id": "Semantics.HutterPrizeISA", - "name": "HutterPrizeISA", - "path": "Semantics/HutterPrizeISA.lean", - "namespace": "Semantics.HutterPrizeISA", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team HutterPrizeISA.lean - Hutter Prize Optimized ISA Specification Designs an entirely new ISA specifically optimized for Hutter Prize compression: Maximum compression efficiency targeting < 112.86MB for 1", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 9, - "struct_count": 4, - "inductive_count": 1, - "line_count": 295 - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeISA.hutterPiWitness", - "name": "hutterPiWitness", - "module": "Semantics.HutterPrizeISA" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeISA.opcodeUtilizationBounded", - "name": "opcodeUtilizationBounded", - "module": "Semantics.HutterPrizeISA" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeISA.registerEfficiencyBounded", - "name": "registerEfficiencyBounded", - "module": "Semantics.HutterPrizeISA" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeISA.overallScoreBounded", - "name": "overallScoreBounded", - "module": "Semantics.HutterPrizeISA" - }, - { - "kind": "theorem", - "id": "Semantics.HutterPrizeISA.targetLessThanRecord", - "name": "targetLessThanRecord", - "module": "Semantics.HutterPrizeISA" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeISA.hutterRecordRatio", - "name": "hutterRecordRatio", - "module": "Semantics.HutterPrizeISA" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeISA.hutterTargetRatio", - "name": "hutterTargetRatio", - "module": "Semantics.HutterPrizeISA" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeISA.hutterPi", - "name": "hutterPi", - "module": "Semantics.HutterPrizeISA" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeISA.hutterPhi", - "name": "hutterPhi", - "module": "Semantics.HutterPrizeISA" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeISA.circularCompressionRatio", - "name": "circularCompressionRatio", - "module": "Semantics.HutterPrizeISA" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeISA.analyzeHutterOpcodeUtilization", - "name": "analyzeHutterOpcodeUtilization", - "module": "Semantics.HutterPrizeISA" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeISA.analyzeHutterRegisterEfficiency", - "name": "analyzeHutterRegisterEfficiency", - "module": "Semantics.HutterPrizeISA" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeISA.runHutterSwarmAnalysis", - "name": "runHutterSwarmAnalysis", - "module": "Semantics.HutterPrizeISA" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeISA.exampleHutterParams", - "name": "exampleHutterParams", - "module": "Semantics.HutterPrizeISA" - }, - { - "kind": "module", - "id": "Semantics.HutterPrizeRGFlow", - "name": "HutterPrizeRGFlow", - "path": "Semantics/HutterPrizeRGFlow.lean", - "namespace": "Semantics.HutterPrizeRGFlow", - "doc": "def floatToQ16_16 (f : Float) : Semantics.Q16_16.Q16_16 := let scaled := f * 65536.0 let int := scaled.toUInt32.toNat Semantics.Q16_16.Q16_16.ofNat int /-! # Hutter Prize RGFlow Filter RGFlow-based filtering for Hutter Prize text compression (enwik8). Maps text to DNA, then to amino acids, then ap", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 15, - "struct_count": 3, - "inductive_count": 2, - "line_count": 191 - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.floatToQ16_16", - "name": "floatToQ16_16", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.bitsToDNANucleotide", - "name": "bitsToDNANucleotide", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.charToDNA", - "name": "charToDNA", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.codonToAminoAcid", - "name": "codonToAminoAcid", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.dnaToAminoAcids", - "name": "dnaToAminoAcids", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.textToAminoAcids", - "name": "textToAminoAcids", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.countUniqueAminoAcids", - "name": "countUniqueAminoAcids", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.spectralDensity", - "name": "spectralDensity", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.countTransitions", - "name": "countTransitions", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.calculateMuQ", - "name": "calculateMuQ", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.aminoAcidCounts", - "name": "aminoAcidCounts", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.aminoAcidEntropy", - "name": "aminoAcidEntropy", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.calculateSigmaQ", - "name": "calculateSigmaQ", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.calculateTextRGFlowState", - "name": "calculateTextRGFlowState", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "def", - "id": "Semantics.HutterPrizeRGFlow.isTextLawful", - "name": "isTextLawful", - "module": "Semantics.HutterPrizeRGFlow" - }, - { - "kind": "module", - "id": "Semantics.HybridConvergence", - "name": "HybridConvergence", - "path": "Semantics/HybridConvergence.lean", - "namespace": "Semantics.HybridConvergence", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team HybridConvergence.lean \u2014 Cross-Domain Emergent Convergence This module proves a novel theorem bridging: ExperienceCompression (L0-L3 knowledge hierarchy) OrderedFieldTokens (test-time search with phase", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 17, - "struct_count": 4, - "inductive_count": 3, - "line_count": 278 - }, - { - "kind": "theorem", - "id": "Semantics.HybridConvergence.adaptiveSpatialTokenConvergence", - "name": "adaptiveSpatialTokenConvergence", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "theorem", - "id": "Semantics.HybridConvergence.compressionSearchEquivalence", - "name": "compressionSearchEquivalence", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.zero", - "name": "zero", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.one", - "name": "one", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.ofNat", - "name": "ofNat", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.add", - "name": "add", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.sub", - "name": "sub", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.mul", - "name": "mul", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.div", - "name": "div", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.le", - "name": "le", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.tokenCountForLevel", - "name": "tokenCountForLevel", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.wellFormedLength", - "name": "wellFormedLength", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.validateTokenSequence", - "name": "validateTokenSequence", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.baseTokenScore", - "name": "baseTokenScore", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.compressionMultiplier", - "name": "compressionMultiplier", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.verifierScore", - "name": "verifierScore", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.sigmaThreshold", - "name": "sigmaThreshold", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.metaAccumulate", - "name": "metaAccumulate", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "def", - "id": "Semantics.HybridConvergence.isPromotable", - "name": "isPromotable", - "module": "Semantics.HybridConvergence" - }, - { - "kind": "module", - "id": "Semantics.HybridTSMPISTTorus", - "name": "HybridTSMPISTTorus", - "path": "Semantics/HybridTSMPISTTorus.lean", - "namespace": "Semantics.HybridTSMPISTTorus", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 19, - "struct_count": 3, - "inductive_count": 1, - "line_count": 280 - }, - { - "kind": "theorem", - "id": "Semantics.HybridTSMPISTTorus.geneticScoreBounded", - "name": "geneticScoreBounded", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.geneticOptimizationScore", - "name": "geneticOptimizationScore", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.informationDensity", - "name": "informationDensity", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.normalizedTensionRatio", - "name": "normalizedTensionRatio", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.classifyPhase", - "name": "classifyPhase", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.lyapunovFunctional", - "name": "lyapunovFunctional", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.mirrorInvolution", - "name": "mirrorInvolution", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.isResonant", - "name": "isResonant", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.applyPistBlitter", - "name": "applyPistBlitter", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.applyResonanceJump", - "name": "applyResonanceJump", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.applyTorusRouting", - "name": "applyTorusRouting", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.updateGeneticScore", - "name": "updateGeneticScore", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.updatePhase", - "name": "updatePhase", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.lawfulProjection", - "name": "lawfulProjection", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.lyapunovDescentCheck", - "name": "lyapunovDescentCheck", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.isHybridActionLawful", - "name": "isHybridActionLawful", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.hybridTSMBind", - "name": "hybridTSMBind", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.examplePistState", - "name": "examplePistState", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.exampleTorusState", - "name": "exampleTorusState", - "module": "Semantics.HybridTSMPISTTorus" - }, - { - "kind": "def", - "id": "Semantics.HybridTSMPISTTorus.exampleHybridState", - "name": "exampleHybridState", - "module": "Semantics.HybridTSMPISTTorus" - 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The browser/Python braid emits a generation trace. This Lean module owns the routing decision: hard mathematical states are reduced to finite event-cell fields, then compared against a braid sample. 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}, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Instances.NUVMAP.nuvmapModel", - "name": "nuvmapModel", - "module": "Semantics.InvariantReceipt.Instances.NUVMAP" - }, - { - "kind": "module", - "id": "Semantics.InvariantReceipt.Instances.TMARP", - "name": "TMARP", - "path": "Semantics/InvariantReceipt/Instances/TMARP.lean", - "namespace": "InvariantReceipt.TMARP", - "doc": "TMARP Instance for Invariant Receipt Protocol", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 11, - "struct_count": 2, - "inductive_count": 1, - "line_count": 164 - }, - { - "kind": "theorem", - "id": "Semantics.InvariantReceipt.Instances.TMARP.tmarp_dpg_refinement", - "name": "tmarp_dpg_refinement", - "module": "Semantics.InvariantReceipt.Instances.TMARP" - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Instances.TMARP.tmarpInvariant", - "name": "tmarpInvariant", - "module": "Semantics.InvariantReceipt.Instances.TMARP" - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Instances.TMARP.tmarpAtomize", - "name": "tmarpAtomize", - "module": "Semantics.InvariantReceipt.Instances.TMARP" - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Instances.TMARP.tmarpTransform", - "name": "tmarpTransform", - "module": "Semantics.InvariantReceipt.Instances.TMARP" - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Instances.TMARP.tmarpCost", - "name": "tmarpCost", - "module": "Semantics.InvariantReceipt.Instances.TMARP" - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Instances.TMARP.tmarpResidual", - "name": "tmarpResidual", - "module": "Semantics.InvariantReceipt.Instances.TMARP" - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Instances.TMARP.tmarpProject", - "name": "tmarpProject", - "module": "Semantics.InvariantReceipt.Instances.TMARP" - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Instances.TMARP.tmarpValidAtScale", - "name": "tmarpValidAtScale", - "module": "Semantics.InvariantReceipt.Instances.TMARP" - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Instances.TMARP.tmarpModel", - "name": "tmarpModel", - "module": "Semantics.InvariantReceipt.Instances.TMARP" - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Instances.TMARP.u32Bytes", - "name": "u32Bytes", - "module": "Semantics.InvariantReceipt.Instances.TMARP" - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Instances.TMARP.u64Bytes", - "name": "u64Bytes", - "module": "Semantics.InvariantReceipt.Instances.TMARP" - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Instances.TMARP.tmarpToDPG", - "name": "tmarpToDPG", - "module": "Semantics.InvariantReceipt.Instances.TMARP" - }, - { - "kind": "module", - "id": "Semantics.InvariantReceipt.Ledger", - "name": "Ledger", - "path": "Semantics/InvariantReceipt/Ledger.lean", - "namespace": "InvariantReceipt", - "doc": "Invariant Receipt Protocol: Cost ledger and deterministic tracking", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 2, - "struct_count": 1, - "inductive_count": 0, - "line_count": 16 - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Ledger.Ledger", - "name": "Ledger", - "module": "Semantics.InvariantReceipt.Ledger" - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Ledger.deterministic", - "name": "deterministic", - "module": "Semantics.InvariantReceipt.Ledger" - }, - { - "kind": "module", - "id": "Semantics.InvariantReceipt.Receipt", - "name": "Receipt", - "path": "Semantics/InvariantReceipt/Receipt.lean", - "namespace": "InvariantReceipt", - "doc": "Invariant Receipt Protocol: Receipt and Outcome types", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 0, - "struct_count": 1, - "inductive_count": 1, - "line_count": 17 - }, - { - "kind": "module", - "id": "Semantics.InvariantReceipt.Status", - "name": "Status", - "path": "Semantics/InvariantReceipt/Status.lean", - "namespace": "InvariantReceipt", - "doc": "Invariant Receipt Protocol: Model promotion status and registry", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 0, - "struct_count": 1, - "inductive_count": 1, - "line_count": 28 - }, - { - "kind": "module", - "id": "Semantics.InvariantReceipt.SubstrateAdapter", - "name": "SubstrateAdapter", - "path": "Semantics/InvariantReceipt/SubstrateAdapter.lean", - "namespace": "InvariantReceipt", - "doc": "Invariant Receipt Protocol: Substrate adapter with round-trip law", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 0, - "struct_count": 1, - "inductive_count": 0, - "line_count": 15 - }, - { - "kind": "module", - "id": "Semantics.InvariantReceipt.Theorems", - "name": "Theorems", - "path": "Semantics/InvariantReceipt/Theorems.lean", - "namespace": "InvariantReceipt", - "doc": "Invariant Receipt Protocol: Core theorems", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 2, - "struct_count": 0, - "inductive_count": 0, - "line_count": 47 - }, - { - "kind": "theorem", - "id": "Semantics.InvariantReceipt.Theorems.Th1_admissibility_soundness", - "name": "Th1_admissibility_soundness", - "module": "Semantics.InvariantReceipt.Theorems" - }, - { - "kind": "theorem", - "id": "Semantics.InvariantReceipt.Theorems.Th2_adapter_round_trip", - "name": "Th2_adapter_round_trip", - "module": "Semantics.InvariantReceipt.Theorems" - }, - { - "kind": "theorem", - "id": "Semantics.InvariantReceipt.Theorems.Th3_hostable_from_witness", - "name": "Th3_hostable_from_witness", - "module": "Semantics.InvariantReceipt.Theorems" - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Theorems.Th4_compression_admissibility", - "name": "Th4_compression_admissibility", - "module": "Semantics.InvariantReceipt.Theorems" - }, - { - "kind": "def", - "id": "Semantics.InvariantReceipt.Theorems.Th5_grw_receipt_soundness", - "name": "Th5_grw_receipt_soundness", - "module": "Semantics.InvariantReceipt.Theorems" - }, - { - "kind": "module", - "id": "Semantics.JouleEnergy", - "name": "JouleEnergy", - "path": "Semantics/JouleEnergy.lean", - "namespace": "Semantics.JouleEnergy", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 11, - "struct_count": 3, - "inductive_count": 0, - "line_count": 200 - }, - { - "kind": "theorem", - "id": "Semantics.JouleEnergy.lawfulTransitionPreservesEnergyMonotonicity", - "name": "lawfulTransitionPreservesEnergyMonotonicity", - "module": "Semantics.JouleEnergy" - }, - { - "kind": "theorem", - "id": "Semantics.JouleEnergy.energyConservation", - "name": "energyConservation", - "module": "Semantics.JouleEnergy" - }, - { - "kind": "def", - "id": "Semantics.JouleEnergy.jouleEnergyChargeVoltage", - "name": "jouleEnergyChargeVoltage", - "module": "Semantics.JouleEnergy" - }, - { - "kind": "def", - "id": "Semantics.JouleEnergy.joulePowerVoltageCurrent", - "name": "joulePowerVoltageCurrent", - "module": "Semantics.JouleEnergy" - }, - { - "kind": "def", - "id": "Semantics.JouleEnergy.jouleEnergyPowerTime", - "name": "jouleEnergyPowerTime", - "module": "Semantics.JouleEnergy" - }, - { - "kind": "def", - "id": "Semantics.JouleEnergy.jouleCurrentChargeTime", - "name": "jouleCurrentChargeTime", - "module": "Semantics.JouleEnergy" - }, - { - "kind": "def", - "id": "Semantics.JouleEnergy.isEnergyTransitionLawful", - "name": "isEnergyTransitionLawful", - "module": "Semantics.JouleEnergy" - }, - { - "kind": "def", - "id": "Semantics.JouleEnergy.energyTransitionCost", - "name": "energyTransitionCost", - "module": "Semantics.JouleEnergy" - }, - { - "kind": "def", - "id": "Semantics.JouleEnergy.updateEnergyState", - "name": "updateEnergyState", - "module": "Semantics.JouleEnergy" - }, - { - "kind": "def", - "id": "Semantics.JouleEnergy.energyBind", - "name": "energyBind", - "module": "Semantics.JouleEnergy" - }, - { - "kind": "def", - "id": "Semantics.JouleEnergy.energyEfficiency", - "name": "energyEfficiency", - "module": "Semantics.JouleEnergy" - }, - { - "kind": "def", - "id": "Semantics.JouleEnergy.powerEfficiency", - "name": "powerEfficiency", - "module": "Semantics.JouleEnergy" - }, - { - "kind": "def", - "id": "Semantics.JouleEnergy.energyPerTask", - "name": "energyPerTask", - "module": "Semantics.JouleEnergy" - }, - { - "kind": "module", - "id": "Semantics.JsonLSurfaceConnector", - "name": "JsonLSurfaceConnector", - "path": "Semantics/JsonLSurfaceConnector.lean", - "namespace": "Semantics.JsonLSurfaceConnector", - "doc": "# JSON-L Surface Connector Lean-owned connector manifest for this instance. External MCP/surface shims may serialize these records, but source/op categories, genome routing, bind class, and connector lawfulness live here.", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 22, - "struct_count": 5, - "inductive_count": 6, - "line_count": 261 - }, - { - "kind": "theorem", - "id": "Semantics.JsonLSurfaceConnector.bindConnectorEventLawful", - "name": "bindConnectorEventLawful", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "theorem", - "id": "Semantics.JsonLSurfaceConnector.sourceTargetSwarmUnlawful", - "name": "sourceTargetSwarmUnlawful", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.EventSource", - "name": "EventSource", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.EventOperation", - "name": "EventOperation", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.BindClass", - "name": "BindClass", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.McpTool", - "name": "McpTool", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.SurfaceTarget", - "name": "SurfaceTarget", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.bin", - "name": "bin", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.genomeAddress", - "name": "genomeAddress", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.genomeBucket", - "name": "genomeBucket", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.sourceTarget", - "name": "sourceTarget", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.connectorInvariant", - "name": "connectorInvariant", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.connectorCost", - "name": "connectorCost", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.bindConnectorEvent", - "name": "bindConnectorEvent", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.toJsonGenome", - "name": "toJsonGenome", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.toJsonBindWitness", - "name": "toJsonBindWitness", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.toJsonProvenance", - "name": "toJsonProvenance", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.toJsonEvent", - "name": "toJsonEvent", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.toJsonConnector", - "name": "toJsonConnector", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.instanceConnector", - "name": "instanceConnector", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.exampleGenome", - "name": "exampleGenome", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "def", - "id": "Semantics.JsonLSurfaceConnector.exampleBindWitness", - "name": "exampleBindWitness", - "module": "Semantics.JsonLSurfaceConnector" - }, - { - "kind": "module", - "id": "Semantics.KdVBurgersPDE", - "name": "KdVBurgersPDE", - "path": "Semantics/KdVBurgersPDE.lean", - "namespace": "Semantics.KdVBurgersPDE", - "doc": "KdVBurgersPDE.lean \u2014 Compound KdV-Burgers Equation in Q16_16 u_t + \u03b1\u00b7u\u00b7u_x + \u03b2\u00b7u_xx + \u03b3\u00b7u_xxx = 0 Combines nonlinear advection (\u03b1), viscous diffusion (\u03b2), and third-order dispersion (\u03b3). Captures both shock formation and wave-breaking phenomena. Reference: Wang 1996 (10.1016/0375-9601(96)00103-x)", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 13, - "struct_count": 1, - "inductive_count": 0, - "line_count": 163 - }, - { - "kind": "theorem", - "id": "Semantics.KdVBurgersPDE.kdv_energy_correspondence", - "name": "kdv_energy_correspondence", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "theorem", - "id": "Semantics.KdVBurgersPDE.kdv_mass_correspondence", - "name": "kdv_mass_correspondence", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.KdVBurgersPDE.thirdDiff", - "name": "thirdDiff", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.KdVBurgersPDE.kdvBurgersRHS", - "name": "kdvBurgersRHS", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.KdVBurgersPDE.stepEuler", - "name": "stepEuler", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.KdVBurgersPDE.runSteps", - "name": "runSteps", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.KdVBurgersPDE.kineticEnergy", - "name": "kineticEnergy", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.KdVBurgersPDE.maxVelocity", - "name": "maxVelocity", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.KdVBurgersPDE.totalMass", - "name": "totalMass", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.KdVBurgersPDE.dispersionRatio", - "name": "dispersionRatio", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.KdVBurgersPDE.kdvBurgersInvariant", - "name": "kdvBurgersInvariant", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.KdVBurgersPDE.testKdVState", - "name": "testKdVState", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.KdVBurgersPDE.kdvBurgersToBraidDef", - "name": "kdvBurgersToBraidDef", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.KdVBurgersPDE.kdvBurgersToBraid", - "name": "kdvBurgersToBraid", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "def", - "id": "Semantics.KdVBurgersPDE.kdvTheoremReceipt", - "name": "kdvTheoremReceipt", - "module": "Semantics.KdVBurgersPDE" - }, - { - "kind": "module", - "id": "Semantics.KeplerianOrbit", - "name": "KeplerianOrbit", - "path": "Semantics/KeplerianOrbit.lean", - "namespace": "Semantics.KeplerianOrbit", - "doc": "The Minsky invariant E(x, y) = x^2 - \\epsilon x y + y^2 modeled as the discrete Hamiltonian (total energy) of the Keplerian orbit. The energy strictly limits the possible states the particle can occupy, partitioning the state space into discrete allowable resonant paths (orbit shells).", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 12, - "struct_count": 0, - "inductive_count": 0, - "line_count": 245 - }, - { - "kind": "theorem", - "id": "Semantics.KeplerianOrbit.oberth_positive_marching", - "name": "oberth_positive_marching", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "theorem", - "id": "Semantics.KeplerianOrbit.oberth_amplification", - "name": "oberth_amplification", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "theorem", - "id": "Semantics.KeplerianOrbit.ephemeris_energy_preserved", - "name": "ephemeris_energy_preserved", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "def", - "id": "Semantics.KeplerianOrbit.minskyHamiltonian", - "name": "minskyHamiltonian", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "def", - "id": "Semantics.KeplerianOrbit.inE8Lattice", - "name": "inE8Lattice", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "def", - "id": "Semantics.KeplerianOrbit.inE16Lattice", - "name": "inE16Lattice", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "def", - "id": "Semantics.KeplerianOrbit.isCohnElkiesCompliant", - "name": "isCohnElkiesCompliant", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "def", - "id": "Semantics.KeplerianOrbit.q16ToInt", - "name": "q16ToInt", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "def", - "id": "Semantics.KeplerianOrbit.getNextState", - "name": "getNextState", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "def", - "id": "Semantics.KeplerianOrbit.ephemerisLUT", - "name": "ephemerisLUT", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "def", - "id": "Semantics.KeplerianOrbit.applyOrbitalPerturbation", - "name": "applyOrbitalPerturbation", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "def", - "id": "Semantics.KeplerianOrbit.energyChange", - "name": "energyChange", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "def", - "id": "Semantics.KeplerianOrbit.linearEnergyChange", - "name": "linearEnergyChange", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "def", - "id": "Semantics.KeplerianOrbit.quadraticEnergyChange", - "name": "quadraticEnergyChange", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "def", - "id": "Semantics.KeplerianOrbit.oberthReceipt", - "name": "oberthReceipt", - "module": "Semantics.KeplerianOrbit" - }, - { - "kind": "module", - "id": "Semantics.Kernel.EigenGate", - "name": "EigenGate", - "path": "Semantics/Kernel/EigenGate.lean", - "namespace": "Semantics.Kernel", - "doc": "EigenGate.lean \u2014 The canonical eigengate type. Every physical law, every compression check, every routing decision is an eigenstate condition: \u2225G\u00b7s \u2212 s\u2225 \u2264 \u03c4, where G is the operator defining the expected invariant, and the residual is the fraction of deviation from identity. Residuals live in Q0_1", - "math_kind": "routing", - "sorry_count": 0, - "theorem_count": 11, - "def_count": 13, - "struct_count": 1, - "inductive_count": 2, - "line_count": 180 - }, - { - "kind": "theorem", - "id": "Semantics.Kernel.EigenGate.shore_is_zero", - "name": "shore_is_zero", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "theorem", - "id": "Semantics.Kernel.EigenGate.admit_verdict_on_zero_residual", - "name": "admit_verdict_on_zero_residual", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "theorem", - "id": "Semantics.Kernel.EigenGate.reject_verdict_on_high_residual", - "name": "reject_verdict_on_high_residual", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "theorem", - "id": "Semantics.Kernel.EigenGate.score_val_on_zero_residual", - "name": "score_val_on_zero_residual", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "theorem", - "id": "Semantics.Kernel.EigenGate.chain_all_admit_admits", - "name": "chain_all_admit_admits", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "theorem", - "id": "Semantics.Kernel.EigenGate.chain_one_rejects_rejects", - "name": "chain_one_rejects_rejects", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "theorem", - "id": "Semantics.Kernel.EigenGate.chain_optional_reject_no_effect", - "name": "chain_optional_reject_no_effect", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "theorem", - "id": "Semantics.Kernel.EigenGate.route_admit_zero_residual_is_eigenstate", - "name": "route_admit_zero_residual_is_eigenstate", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "theorem", - "id": "Semantics.Kernel.EigenGate.route_reject_no_receipt_is_error", - "name": "route_reject_no_receipt_is_error", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "theorem", - "id": "Semantics.Kernel.EigenGate.route_reject_with_receipt_is_underverse", - "name": "route_reject_with_receipt_is_underverse", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "theorem", - "id": "Semantics.Kernel.EigenGate.approach_bounded", - "name": "approach_bounded", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "def", - "id": "Semantics.Kernel.EigenGate.verdict", - "name": "verdict", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "def", - "id": "Semantics.Kernel.EigenGate.score", - "name": "score", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "def", - "id": "Semantics.Kernel.EigenGate.route", - "name": "route", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "def", - "id": "Semantics.Kernel.EigenGate.chainVerdict", - "name": "chainVerdict", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "def", - "id": "Semantics.Kernel.EigenGate.q0Ratio", - "name": "q0Ratio", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "def", - "id": "Semantics.Kernel.EigenGate.shore", - "name": "shore", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "def", - "id": "Semantics.Kernel.EigenGate.approach", - "name": "approach", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "def", - "id": "Semantics.Kernel.EigenGate.testGateAllAdmit", - "name": "testGateAllAdmit", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "def", - "id": "Semantics.Kernel.EigenGate.testGateAllReject", - "name": "testGateAllReject", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "def", - "id": "Semantics.Kernel.EigenGate.testGateResidualAtHalf", - "name": "testGateResidualAtHalf", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "def", - "id": "Semantics.Kernel.EigenGate.chainFixtureAllAdmit", - "name": "chainFixtureAllAdmit", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "def", - "id": "Semantics.Kernel.EigenGate.chainFixtureOneRejects", - "name": "chainFixtureOneRejects", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "def", - "id": "Semantics.Kernel.EigenGate.chainFixtureOptionalReject", - "name": "chainFixtureOptionalReject", - "module": "Semantics.Kernel.EigenGate" - }, - { - "kind": "module", - "id": "Semantics.Kernel.GateChain", - "name": "GateChain", - "path": "Semantics/Kernel/GateChain.lean", - "namespace": "Semantics.Kernel", - "doc": "GateChain.lean \u2014 Multiplicative eigengate composition. Imports EigenGate.lean for the canonical Eigengate, EigenVerdict, and score/verdict/route/chainVerdict primitives. Adds chain-level composition and product-score computation.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 4, - "struct_count": 1, - "inductive_count": 0, - "line_count": 56 - }, - { - "kind": "theorem", - "id": "Semantics.Kernel.GateChain.chainCompositionAllAdmit", - "name": "chainCompositionAllAdmit", - "module": "Semantics.Kernel.GateChain" - }, - { - "kind": "theorem", - "id": "Semantics.Kernel.GateChain.chain_optional_reject_preserves_admit", - "name": "chain_optional_reject_preserves_admit", - "module": "Semantics.Kernel.GateChain" - }, - { - "kind": "theorem", - "id": "Semantics.Kernel.GateChain.chainScore_all_admit_is_one", - "name": "chainScore_all_admit_is_one", - "module": "Semantics.Kernel.GateChain" - }, - { - "kind": "def", - "id": "Semantics.Kernel.GateChain.chainGatesToTuples", - "name": "chainGatesToTuples", - "module": "Semantics.Kernel.GateChain" - }, - { - "kind": "def", - "id": "Semantics.Kernel.GateChain.chainScore", - "name": "chainScore", - "module": "Semantics.Kernel.GateChain" - }, - { - "kind": "def", - "id": "Semantics.Kernel.GateChain.testChainAllAdmit", - "name": "testChainAllAdmit", - "module": "Semantics.Kernel.GateChain" - }, - { - "kind": "def", - "id": "Semantics.Kernel.GateChain.testChainOptionalOnly", - "name": "testChainOptionalOnly", - "module": "Semantics.Kernel.GateChain" - }, - { - "kind": "module", - "id": "Semantics.KillerCriterion", - "name": "KillerCriterion", - "path": "Semantics/KillerCriterion.lean", - "namespace": "Semantics.Benchmarks.KillerCriterion", - "doc": "# Killer Criterion: Rigid Formalization This module formalizes the benchmark claim: A planted lawful core is distinguishable from random noise and trivial repetition when and only when it satisfies the coincidence of: 1. exact spectral lawfulness, 2. RGFlow scale coherence, 3. verified payload id", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 11, - "def_count": 7, - "struct_count": 3, - "inductive_count": 2, - "line_count": 362 - }, - { - "kind": "theorem", - "id": "Semantics.KillerCriterion.noise_rejection_theorem", - "name": "noise_rejection_theorem", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "theorem", - "id": "Semantics.KillerCriterion.repetition_rejection_theorem", - "name": "repetition_rejection_theorem", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "theorem", - "id": "Semantics.KillerCriterion.chaos_rejection_theorem", - "name": "chaos_rejection_theorem", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "theorem", - "id": "Semantics.KillerCriterion.incoherence_rejection_theorem", - "name": "incoherence_rejection_theorem", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "theorem", - "id": "Semantics.KillerCriterion.blind_detection_theorem", - "name": "blind_detection_theorem", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "theorem", - "id": "Semantics.KillerCriterion.core_admission_theorem", - "name": "core_admission_theorem", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "theorem", - "id": "Semantics.KillerCriterion.noise_flanked_core_theorem", - "name": "noise_flanked_core_theorem", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "theorem", - "id": "Semantics.KillerCriterion.repetition_flanked_core_theorem", - "name": "repetition_flanked_core_theorem", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "theorem", - "id": "Semantics.KillerCriterion.admitted_core_not_sabotage", - "name": "admitted_core_not_sabotage", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "theorem", - "id": "Semantics.KillerCriterion.unique_core_admission_theorem", - "name": "unique_core_admission_theorem", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "theorem", - "id": "Semantics.KillerCriterion.canonical_pi_e_core_unique", - "name": "canonical_pi_e_core_unique", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "def", - "id": "Semantics.KillerCriterion.entropyLower", - "name": "entropyLower", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "def", - "id": "Semantics.KillerCriterion.entropyUpper", - "name": "entropyUpper", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "def", - "id": "Semantics.KillerCriterion.densityUpper", - "name": "densityUpper", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "def", - "id": "Semantics.KillerCriterion.IsSpectrallyLawful", - "name": "IsSpectrallyLawful", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "def", - "id": "Semantics.KillerCriterion.IsKillerLawful", - "name": "IsKillerLawful", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "def", - "id": "Semantics.KillerCriterion.RegionAdmitted", - "name": "RegionAdmitted", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "def", - "id": "Semantics.KillerCriterion.KillerCriterionAdmission", - "name": "KillerCriterionAdmission", - "module": "Semantics.KillerCriterion" - }, - { - "kind": "module", - "id": "Semantics.LadderBraidAlgebra", - "name": "LadderBraidAlgebra", - "path": "Semantics/LadderBraidAlgebra.lean", - "namespace": "Semantics.LadderBraidAlgebra", - "doc": "LadderBraidAlgebra.lean \u2014 Ladder Operator Algebra on Braid Strand Phase Space This module establishes the isomorphism between quantum ladder operators (L\u208a/L\u208b) and braid crossing operations (crossStrands/crossStep). Key identifications (from arXiv:2507.16629, 2603.12392): \u2022 L\u208a/L\u208b = crossStrands on ", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 19, - "struct_count": 2, - "inductive_count": 1, - "line_count": 345 - }, - { - "kind": "theorem", - "id": "Semantics.LadderBraidAlgebra.commutator_antisymm", - "name": "commutator_antisymm", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "theorem", - "id": "Semantics.LadderBraidAlgebra.admissible_at_max_m_is_highest_weight", - "name": "admissible_at_max_m_is_highest_weight", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "theorem", - "id": "Semantics.LadderBraidAlgebra.ladder_raise_identity_test", - "name": "ladder_raise_identity_test", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.zero", - "name": "zero", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.fromPhaseVec", - "name": "fromPhaseVec", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.commutatorRaw", - "name": "commutatorRaw", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.ladderApplyPair", - "name": "ladderApplyPair", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.ladderApplyState", - "name": "ladderApplyState", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.ladderNormSq", - "name": "ladderNormSq", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.fammEnforcesNormPositivity", - "name": "fammEnforcesNormPositivity", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.raiseLowerCommutator", - "name": "raiseLowerCommutator", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.lzRaiseCommutator", - "name": "lzRaiseCommutator", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.IsHighestWeight", - "name": "IsHighestWeight", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.liftToQ16", - "name": "liftToQ16", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.ladderSpectralProfile", - "name": "ladderSpectralProfile", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.treeNodeToLadderState", - "name": "treeNodeToLadderState", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.ladderMatchesTreeDIAT", - "name": "ladderMatchesTreeDIAT", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.eigensolidTestState", - "name": "eigensolidTestState", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.computeCasimir", - "name": "computeCasimir", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.spinOneM0", - "name": "spinOneM0", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.spinOneM1", - "name": "spinOneM1", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "def", - "id": "Semantics.LadderBraidAlgebra.exampleTree", - "name": "exampleTree", - "module": "Semantics.LadderBraidAlgebra" - }, - { - "kind": "module", - "id": "Semantics.LadderLUT", - "name": "LadderLUT", - "path": "Semantics/LadderLUT.lean", - "namespace": "Semantics.LadderLUT", - "doc": "# LadderLUT A LadderLUT is a deterministic expansion packet for ordered fixed-width symbols. It replaces an explicit table such as ```text 000, 001, 002, 003, ... ``` with a compact generator rule plus residual and receipt accounting. The decimal identity `1 / 998001` is treated as a human-visi", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 8, - "def_count": 13, - "struct_count": 1, - "inductive_count": 1, - "line_count": 165 - }, - { - "kind": "theorem", - "id": "Semantics.LadderLUT.decimalDenominatorIsRedditWitness", - "name": "decimalDenominatorIsRedditWitness", - "module": "Semantics.LadderLUT" - }, - { - "kind": "theorem", - "id": "Semantics.LadderLUT.decimalReplayStartsAt000", - "name": "decimalReplayStartsAt000", - "module": "Semantics.LadderLUT" - }, - { - "kind": "theorem", - "id": "Semantics.LadderLUT.decimalPacketPromotable", - "name": "decimalPacketPromotable", - "module": "Semantics.LadderLUT" - }, - { - "kind": "theorem", - "id": "Semantics.LadderLUT.byteThreePacketPromotable", - "name": "byteThreePacketPromotable", - "module": "Semantics.LadderLUT" - }, - { - "kind": "theorem", - "id": "Semantics.LadderLUT.tinyLadderNotPromotable", - "name": "tinyLadderNotPromotable", - "module": "Semantics.LadderLUT" - }, - { - "kind": "theorem", - "id": "Semantics.LadderLUT.badBaseNotPromotable", - "name": "badBaseNotPromotable", - "module": "Semantics.LadderLUT" - }, - { - "kind": "theorem", - "id": "Semantics.LadderLUT.promotable_ladder_structurally_valid", - "name": "promotable_ladder_structurally_valid", - "module": "Semantics.LadderLUT" - }, - { - "kind": "theorem", - "id": "Semantics.LadderLUT.promotable_ladder_satisfies_byte_law", - "name": "promotable_ladder_satisfies_byte_law", - "module": "Semantics.LadderLUT" - }, - { - "kind": "def", - "id": "Semantics.LadderLUT.expectedBase", - "name": "expectedBase", - "module": "Semantics.LadderLUT" - }, - { - "kind": "def", - "id": "Semantics.LadderLUT.blockEnumeratorDenominator", - "name": "blockEnumeratorDenominator", - "module": "Semantics.LadderLUT" - }, - { - "kind": "def", - "id": "Semantics.LadderLUT.ladderStructurallyValid", - "name": "ladderStructurallyValid", - "module": "Semantics.LadderLUT" - }, - { - "kind": "def", - "id": "Semantics.LadderLUT.ladderValueAt", - "name": "ladderValueAt", - "module": "Semantics.LadderLUT" - }, - { - "kind": "def", - "id": "Semantics.LadderLUT.replayLadder", - "name": "replayLadder", - "module": "Semantics.LadderLUT" - }, - { - "kind": "def", - "id": "Semantics.LadderLUT.explicitLutBytes", - "name": "explicitLutBytes", - "module": "Semantics.LadderLUT" - }, - { - "kind": "def", - "id": "Semantics.LadderLUT.ladderEncodedBytes", - "name": "ladderEncodedBytes", - "module": "Semantics.LadderLUT" - }, - { - "kind": "def", - "id": "Semantics.LadderLUT.ladderByteLawHolds", - "name": "ladderByteLawHolds", - "module": "Semantics.LadderLUT" - }, - { - "kind": "def", - "id": "Semantics.LadderLUT.ladderPromotable", - "name": "ladderPromotable", - "module": "Semantics.LadderLUT" - }, - { - "kind": "def", - "id": "Semantics.LadderLUT.decimalThreeDigitPacket", - "name": "decimalThreeDigitPacket", - "module": "Semantics.LadderLUT" - }, - { - "kind": "def", - "id": "Semantics.LadderLUT.byteThreePacket", - "name": "byteThreePacket", - "module": "Semantics.LadderLUT" - }, - { - "kind": "def", - "id": "Semantics.LadderLUT.tinyLadderPacket", - "name": "tinyLadderPacket", - "module": "Semantics.LadderLUT" - }, - { - "kind": "def", - "id": "Semantics.LadderLUT.badBasePacket", - "name": "badBasePacket", - "module": "Semantics.LadderLUT" - }, - { - "kind": "module", - "id": "Semantics.LandauerCompression", - "name": "LandauerCompression", - "path": "Semantics/LandauerCompression.lean", - "namespace": "Semantics.LandauerCompression", - "doc": "Abstract one-bit Landauer unit in proof-layer Q16.16 form. This is a normalized lower-bound unit, not a calibrated physical constant.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 13, - "struct_count": 5, - "inductive_count": 0, - "line_count": 184 - }, - { - "kind": "theorem", - "id": "Semantics.LandauerCompression.reversibleZeroBound", - "name": "reversibleZeroBound", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "theorem", - "id": "Semantics.LandauerCompression.positiveErasurePositiveLowerBound", - "name": "positiveErasurePositiveLowerBound", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "def", - "id": "Semantics.LandauerCompression.landauerUnitCost", - "name": "landauerUnitCost", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "def", - "id": "Semantics.LandauerCompression.erasedDirections", - "name": "erasedDirections", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "def", - "id": "Semantics.LandauerCompression.isIrreversible", - "name": "isIrreversible", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "def", - "id": "Semantics.LandauerCompression.landauerLowerBound", - "name": "landauerLowerBound", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "def", - "id": "Semantics.LandauerCompression.witnessOfSummaries", - "name": "witnessOfSummaries", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "def", - "id": "Semantics.LandauerCompression.witnessOfNodes", - "name": "witnessOfNodes", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "def", - "id": "Semantics.LandauerCompression.samplePreSummary", - "name": "samplePreSummary", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "def", - "id": "Semantics.LandauerCompression.samplePostSummary", - "name": "samplePostSummary", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "def", - "id": "Semantics.LandauerCompression.sampleWitness", - "name": "sampleWitness", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "def", - "id": "Semantics.LandauerCompression.sampleReversibleWitness", - "name": "sampleReversibleWitness", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "def", - "id": "Semantics.LandauerCompression.LandauerLogicalMass", - "name": "LandauerLogicalMass", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "def", - "id": "Semantics.LandauerCompression.reversibleZeroBoundMass", - "name": "reversibleZeroBoundMass", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "def", - "id": "Semantics.LandauerCompression.positiveErasurePositiveLowerBoundMass", - "name": "positiveErasurePositiveLowerBoundMass", - "module": "Semantics.LandauerCompression" - }, - { - "kind": "module", - "id": "Semantics.LaviGen", - "name": "LaviGen", - "path": "Semantics/LaviGen.lean", - "namespace": "Semantics.LaviGen", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. 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Every translation yields a `BindResult` recording: lawful : Bool \u2014 did invariants survive? cost : Q0_16 \u2014 dimensional mismatch penalty (normalized) witness : String \u2014 w", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 14, - "struct_count": 1, - "inductive_count": 2, - "line_count": 212 - }, - { - "kind": "def", - "id": "Semantics.LawfulLoss.bindClassLabel", - "name": "bindClassLabel", - "module": "Semantics.LawfulLoss" - }, - { - "kind": "def", - "id": "Semantics.LawfulLoss.mkLawful", - "name": "mkLawful", - "module": "Semantics.LawfulLoss" - }, - { - "kind": "def", - "id": "Semantics.LawfulLoss.mkUnlawful", - "name": "mkUnlawful", - "module": "Semantics.LawfulLoss" - }, - { - "kind": "def", - "id": "Semantics.LawfulLoss.isLawful", - "name": "isLawful", - "module": "Semantics.LawfulLoss" - }, - { - "kind": "def", - "id": "Semantics.LawfulLoss.bindCost", - "name": "bindCost", - "module": "Semantics.LawfulLoss" - }, - { - "kind": "def", - "id": "Semantics.LawfulLoss.bindWitness", - "name": "bindWitness", - "module": "Semantics.LawfulLoss" - }, - { - "kind": "def", - "id": "Semantics.LawfulLoss.lawfulLoss", - "name": "lawfulLoss", - "module": "Semantics.LawfulLoss" - }, - { - "kind": "def", - "id": "Semantics.LawfulLoss.invariantLabel", - "name": "invariantLabel", - "module": "Semantics.LawfulLoss" - }, - { - "kind": "def", - "id": "Semantics.LawfulLoss.allInvariantsPreserved", - "name": "allInvariantsPreserved", - "module": "Semantics.LawfulLoss" - }, - { - "kind": "def", - "id": "Semantics.LawfulLoss.exampleHumanHuman", - "name": "exampleHumanHuman", - "module": "Semantics.LawfulLoss" - }, - { - "kind": "def", - "id": "Semantics.LawfulLoss.exampleHumanDolphin", - "name": "exampleHumanDolphin", - "module": "Semantics.LawfulLoss" - }, - { - "kind": "def", - "id": "Semantics.LawfulLoss.exampleBadLoss", - "name": "exampleBadLoss", - "module": "Semantics.LawfulLoss" - }, - { - "kind": "def", - "id": "Semantics.LawfulLoss.exampleHumanMachine", - "name": "exampleHumanMachine", - "module": "Semantics.LawfulLoss" - }, - { - "kind": "def", - "id": "Semantics.LawfulLoss.exampleHumanAlien", - "name": "exampleHumanAlien", - "module": "Semantics.LawfulLoss" - }, - { - "kind": "module", - "id": "Semantics.Layer3TransmissionModel", - "name": "Layer3TransmissionModel", - "path": "Semantics/Layer3TransmissionModel.lean", - "namespace": "Semantics.Layer3TransmissionModel", - "doc": "Formal proof that \"0 bytes during local compute\" is NOT compression. Key invariant: compressionRatio \u2260 transmissionAvoidance Layer 3 can reduce when data is transmitted. It does not make the data smaller by itself. Corrected architecture equation: effective_network_cost = anchor_frequency \u00d7 compre", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 7, - "def_count": 4, - "struct_count": 2, - "inductive_count": 1, - "line_count": 141 - }, - { - "kind": "theorem", - "id": "Semantics.Layer3TransmissionModel.local_computation_zero_transmitted", - "name": "local_computation_zero_transmitted", - "module": "Semantics.Layer3TransmissionModel" - }, - { - "kind": "theorem", - "id": "Semantics.Layer3TransmissionModel.local_computation_no_size_change", - "name": "local_computation_no_size_change", - "module": "Semantics.Layer3TransmissionModel" - }, - { - "kind": "theorem", - "id": "Semantics.Layer3TransmissionModel.local_computation_not_compression", - "name": "local_computation_not_compression", - "module": "Semantics.Layer3TransmissionModel" - }, - { - "kind": "theorem", - "id": "Semantics.Layer3TransmissionModel.transmission_avoidance_not_compression", - "name": "transmission_avoidance_not_compression", - "module": "Semantics.Layer3TransmissionModel" - }, - { - "kind": "theorem", - "id": "Semantics.Layer3TransmissionModel.effective_cost_not_infinite", - "name": "effective_cost_not_infinite", - "module": "Semantics.Layer3TransmissionModel" - }, - { - "kind": "theorem", - "id": "Semantics.Layer3TransmissionModel.effective_cost_formula_correct", - "name": "effective_cost_formula_correct", - "module": "Semantics.Layer3TransmissionModel" - }, - { - "kind": "theorem", - "id": "Semantics.Layer3TransmissionModel.compression_ratio_zero_denominator_is_infinity", - "name": "compression_ratio_zero_denominator_is_infinity", - "module": "Semantics.Layer3TransmissionModel" - }, - { - "kind": "def", - "id": "Semantics.Layer3TransmissionModel.localComputationCost", - "name": "localComputationCost", - "module": "Semantics.Layer3TransmissionModel" - }, - { - "kind": "def", - "id": "Semantics.Layer3TransmissionModel.anchorTransmissionCost", - "name": "anchorTransmissionCost", - "module": "Semantics.Layer3TransmissionModel" - }, - { - "kind": "def", - "id": "Semantics.Layer3TransmissionModel.compressionRatio", - "name": "compressionRatio", - "module": "Semantics.Layer3TransmissionModel" - }, - { - "kind": "def", - "id": "Semantics.Layer3TransmissionModel.calculateEffectiveCost", - "name": "calculateEffectiveCost", - "module": "Semantics.Layer3TransmissionModel" - }, - { - "kind": "module", - "id": "Semantics.Lean4ImprovementProofs", - "name": "Lean4ImprovementProofs", - "path": "Semantics/Lean4ImprovementProofs.lean", - "namespace": "Semantics.Lean4Improvement", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team Lean4ImprovementProofs.lean \u2014 Formal Proofs of Lean 4 Improvement Certainty This module provides formal mathematical proofs that the proposed Lean 4 improvements are mathematically certain to improve t", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 13, - "def_count": 15, - "struct_count": 3, - "inductive_count": 0, - "line_count": 354 - }, - { - "kind": "theorem", - "id": "Semantics.Lean4ImprovementProofs.aiTacticsImprovesUsability", - "name": "aiTacticsImprovesUsability", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "theorem", - "id": "Semantics.Lean4ImprovementProofs.hardwareExtractionMaximizesExtraction", - "name": "hardwareExtractionMaximizesExtraction", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "theorem", - "id": "Semantics.Lean4ImprovementProofs.parallelCompilationImprovesSpeed", - "name": "parallelCompilationImprovesSpeed", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "theorem", - "id": "Semantics.Lean4ImprovementProofs.mlIntegrationExpandsEcosystem", - "name": "mlIntegrationExpandsEcosystem", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "theorem", - "id": "Semantics.Lean4ImprovementProofs.typeInferenceImprovesQuality", - "name": "typeInferenceImprovesQuality", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "theorem", - "id": "Semantics.Lean4ImprovementProofs.physicsLibraryMaximizesEcosystem", - "name": "physicsLibraryMaximizesEcosystem", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "theorem", - "id": "Semantics.Lean4ImprovementProofs.applyAITacticsImprovesUsability", - "name": "applyAITacticsImprovesUsability", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "theorem", - "id": "Semantics.Lean4ImprovementProofs.hardwareExtractionMaximizesSystemExtraction", - "name": "hardwareExtractionMaximizesSystemExtraction", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "theorem", - "id": "Semantics.Lean4ImprovementProofs.allImprovementsImproveSystem", - "name": "allImprovementsImproveSystem", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "theorem", - "id": "Semantics.Lean4ImprovementProofs.priorityMonotonic", - "name": "priorityMonotonic", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "theorem", - "id": "Semantics.Lean4ImprovementProofs.hardwareExtractionHighestPriority", - "name": "hardwareExtractionHighestPriority", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "theorem", - "id": "Semantics.Lean4ImprovementProofs.allImprovementsGuaranteed", - "name": "allImprovementsGuaranteed", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "theorem", - "id": "Semantics.Lean4ImprovementProofs.mathematicalCertaintyOfImprovement", - "name": "mathematicalCertaintyOfImprovement", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.computePriority", - "name": "computePriority", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.aiTacticsImprovement", - "name": "aiTacticsImprovement", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.aiTacticsEffect", - "name": "aiTacticsEffect", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.hardwareExtractionImprovement", - "name": "hardwareExtractionImprovement", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.hardwareExtractionEffect", - "name": "hardwareExtractionEffect", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.parallelCompilationImprovement", - "name": "parallelCompilationImprovement", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.parallelCompilationEffect", - "name": "parallelCompilationEffect", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.mlIntegrationImprovement", - "name": "mlIntegrationImprovement", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.mlIntegrationEffect", - "name": "mlIntegrationEffect", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.typeInferenceImprovement", - "name": "typeInferenceImprovement", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.typeInferenceEffect", - "name": "typeInferenceEffect", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.physicsLibraryImprovement", - "name": "physicsLibraryImprovement", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.physicsLibraryEffect", - "name": "physicsLibraryEffect", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.applyImprovement", - "name": "applyImprovement", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "def", - "id": "Semantics.Lean4ImprovementProofs.improvementGuaranteed", - "name": "improvementGuaranteed", - "module": "Semantics.Lean4ImprovementProofs" - }, - { - "kind": "module", - "id": "Semantics.LeanBridge", - "name": "LeanBridge", - "path": "Semantics/LeanBridge.lean", - "namespace": "Semantics", - "doc": "Lean Bridge Utilities ID: LEAN-BRIDGE-1 This module provides utility functions and type class instances to smooth over Lean 4 idiosyncrasies encountered during development. 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"module": "Semantics.LocalDerivative" - }, - { - "kind": "def", - "id": "Semantics.LocalDerivative.matrixZipWith", - "name": "matrixZipWith", - "module": "Semantics.LocalDerivative" - }, - { - "kind": "def", - "id": "Semantics.LocalDerivative.matrixScale", - "name": "matrixScale", - "module": "Semantics.LocalDerivative" - }, - { - "kind": "def", - "id": "Semantics.LocalDerivative.matrixMapWithIndex", - "name": "matrixMapWithIndex", - "module": "Semantics.LocalDerivative" - }, - { - "kind": "def", - "id": "Semantics.LocalDerivative.matrixFlatten", - "name": "matrixFlatten", - "module": "Semantics.LocalDerivative" - }, - { - "kind": "def", - "id": "Semantics.LocalDerivative.matrixL1Norm", - "name": "matrixL1Norm", - "module": "Semantics.LocalDerivative" - }, - { - "kind": "def", - "id": "Semantics.LocalDerivative.matrixFrobeniusNormSq", - "name": "matrixFrobeniusNormSq", - "module": "Semantics.LocalDerivative" - }, - { - "kind": "def", - "id": "Semantics.LocalDerivative.matrixFrobeniusNorm", - 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"line_count": 56 - }, - { - "kind": "def", - "id": "Semantics.LocalExpansion.localExpansionInvariant", - "name": "localExpansionInvariant", - "module": "Semantics.LocalExpansion" - }, - { - "kind": "def", - "id": "Semantics.LocalExpansion.fromLocalDerivative", - "name": "fromLocalDerivative", - "module": "Semantics.LocalExpansion" - }, - { - "kind": "def", - "id": "Semantics.LocalExpansion.listGet", - "name": "listGet", - "module": "Semantics.LocalExpansion" - }, - { - "kind": "def", - "id": "Semantics.LocalExpansion.evaluateLinear", - "name": "evaluateLinear", - "module": "Semantics.LocalExpansion" - }, - { - "kind": "def", - "id": "Semantics.LocalExpansion.quadraticForm", - "name": "quadraticForm", - "module": "Semantics.LocalExpansion" - }, - { - "kind": "def", - "id": "Semantics.LocalExpansion.evaluateTaylor2", - "name": "evaluateTaylor2", - "module": "Semantics.LocalExpansion" - }, - { - "kind": "module", - "id": "Semantics.LogogramRotationLoop", - "name": "LogogramRotationLoop", - "path": "Semantics/LogogramRotationLoop.lean", - "namespace": "Semantics.LogogramRotationLoop", - "doc": "LogogramRotationLoop.lean \u2014 Holographic logogram encoding via lambda-rotation. One beam carries multiple encoded projections. The beam does not switch between encodings \u2014 it always delivers the superposition of all projections simultaneously. The boundary resolves separate structures by threshold", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 9, - "def_count": 13, - "struct_count": 6, - "inductive_count": 0, - "line_count": 331 - }, - { - "kind": "theorem", - "id": "Semantics.LogogramRotationLoop.single_cycle_produces_one_structure", - "name": "single_cycle_produces_one_structure", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramRotationLoop.three_cycle_beam_has_positive_activation", - "name": "three_cycle_beam_has_positive_activation", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramRotationLoop.three_cycle_integrates_all_layers", - "name": "three_cycle_integrates_all_layers", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramRotationLoop.single_cycle_integrates_one_layer", - "name": "single_cycle_integrates_one_layer", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramRotationLoop.empty_cycle_has_zero_activation", - "name": "empty_cycle_has_zero_activation", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramRotationLoop.zero_is_in_low_band", - "name": "zero_is_in_low_band", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramRotationLoop.half_is_in_mid_band", - "name": "half_is_in_mid_band", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramRotationLoop.one_is_in_high_band", - "name": "one_is_in_high_band", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramRotationLoop.low_and_mid_bands_are_disjoint", - "name": "low_and_mid_bands_are_disjoint", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "def", - "id": "Semantics.LogogramRotationLoop.inBand", - "name": "inBand", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "def", - "id": "Semantics.LogogramRotationLoop.integrateLayer", - "name": "integrateLayer", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "def", - "id": "Semantics.LogogramRotationLoop.runRotationCycle", - "name": "runRotationCycle", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "def", - "id": "Semantics.LogogramRotationLoop.resolveStructure", - "name": "resolveStructure", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "def", - "id": "Semantics.LogogramRotationLoop.resolveAllStructures", - "name": "resolveAllStructures", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "def", - "id": "Semantics.LogogramRotationLoop.materializedCount", - "name": "materializedCount", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "def", - "id": "Semantics.LogogramRotationLoop.lowBand", - "name": "lowBand", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "def", - "id": "Semantics.LogogramRotationLoop.midBand", - "name": "midBand", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "def", - "id": "Semantics.LogogramRotationLoop.highBand", - "name": "highBand", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "def", - "id": "Semantics.LogogramRotationLoop.threeStructureCycle", - "name": "threeStructureCycle", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "def", - "id": "Semantics.LogogramRotationLoop.singleStructureCycle", - "name": "singleStructureCycle", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "def", - "id": "Semantics.LogogramRotationLoop.singleBeam", - "name": "singleBeam", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "def", - "id": "Semantics.LogogramRotationLoop.threeBeam", - "name": "threeBeam", - "module": "Semantics.LogogramRotationLoop" - }, - { - "kind": "module", - "id": "Semantics.LogogramSubstitution", - "name": "LogogramSubstitution", - "path": "Semantics/LogogramSubstitution.lean", - "namespace": "Semantics.LogogramSubstitution", - "doc": "# Logogram Substitution Gate This module is the Lean law surface for math/logogram substitution receipts. Python shims may generate audit JSON, but admission decisions reduce to these finite gates: payload bound, token-stream completeness, inverse uniqueness, residual declaration, and quarantine ro", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 8, - "def_count": 14, - "struct_count": 1, - "inductive_count": 3, - "line_count": 193 - }, - { - "kind": "theorem", - "id": "Semantics.LogogramSubstitution.hashed_multichar_requires_residual", - "name": "hashed_multichar_requires_residual", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramSubstitution.sidecar_ops_declare_residual", - "name": "sidecar_ops_declare_residual", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramSubstitution.literal_atom_is_payload_only_accepted", - "name": "literal_atom_is_payload_only_accepted", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramSubstitution.known_command_collision_is_held", - "name": "known_command_collision_is_held", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramSubstitution.hashed_identifier_is_held", - "name": "hashed_identifier_is_held", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramSubstitution.truncated_payload_is_held", - "name": "truncated_payload_is_held", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramSubstitution.semantic_tear_is_quarantined", - "name": "semantic_tear_is_quarantined", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "theorem", - "id": "Semantics.LogogramSubstitution.accepted_substitution_has_payload_round_trip", - "name": "accepted_substitution_has_payload_round_trip", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "def", - "id": "Semantics.LogogramSubstitution.tokenClassNeedsResidual", - "name": "tokenClassNeedsResidual", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "def", - "id": "Semantics.LogogramSubstitution.sidecarOpDeclaresResidual", - "name": "sidecarOpDeclaresResidual", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "def", - "id": "Semantics.LogogramSubstitution.gcclReceiptShapeComplete", - "name": "gcclReceiptShapeComplete", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "def", - "id": "Semantics.LogogramSubstitution.payloadOnlyRoundTrip", - "name": "payloadOnlyRoundTrip", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "def", - "id": "Semantics.LogogramSubstitution.sidecarRoundTrip", - "name": "sidecarRoundTrip", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "def", - "id": "Semantics.LogogramSubstitution.substitutionAccepted", - "name": "substitutionAccepted", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "def", - "id": "Semantics.LogogramSubstitution.substitutionHeld", - "name": "substitutionHeld", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "def", - "id": "Semantics.LogogramSubstitution.substitutionQuarantined", - "name": "substitutionQuarantined", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "def", - "id": "Semantics.LogogramSubstitution.decideSubstitution", - "name": "decideSubstitution", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "def", - "id": "Semantics.LogogramSubstitution.literalAtomReceipt", - "name": "literalAtomReceipt", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "def", - "id": "Semantics.LogogramSubstitution.knownCommandSidecarReceipt", - "name": "knownCommandSidecarReceipt", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "def", - "id": "Semantics.LogogramSubstitution.hashedIdentifierReceipt", - "name": "hashedIdentifierReceipt", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "def", - "id": "Semantics.LogogramSubstitution.truncatedPayloadReceipt", - "name": "truncatedPayloadReceipt", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "def", - "id": "Semantics.LogogramSubstitution.semanticTearReceipt", - "name": "semanticTearReceipt", - "module": "Semantics.LogogramSubstitution" - }, - { - "kind": "module", - "id": "Semantics.LonelyRunner", - "name": "LonelyRunner", - "path": "Semantics/LonelyRunner.lean", - "namespace": "Semantics.LonelyRunner", - "doc": "LonelyRunner.lean \u2014 Lonely Runner \u2192 Betti-0 Scar Topology Formalizes the Lonely Runner Conjecture as a topological scar-persistence claim: for k runners on S\u00b9 with speeds {v_i}, the zeroth Betti number \u03b2\u2080(M_t) of the uncovered set M_t satisfies \u03b2\u2080(M_t) > 0 for some t. References: Wills 1967 \u2014 Orig", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 18, - "def_count": 7, - "struct_count": 3, - "inductive_count": 0, - "line_count": 463 - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.circleDist_symm", - "name": "circleDist_symm", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.circleDist_le_half", - "name": "circleDist_le_half", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.circleDist_zero_third", - "name": "circleDist_zero_third", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.circleDist_zero_two_thirds", - "name": "circleDist_zero_two_thirds", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.circleDist_zero_quarter", - "name": "circleDist_zero_quarter", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.circleDist_zero_half", - "name": "circleDist_zero_half", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.circleDist_zero_three_quarters", - "name": "circleDist_zero_three_quarters", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.runnerPos_eq_product", - "name": "runnerPos_eq_product", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.runnerPos_one_third", - "name": "runnerPos_one_third", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.runnerPos_two_thirds", - "name": "runnerPos_two_thirds", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.runnerPos_one_quarter", - "name": "runnerPos_one_quarter", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.runnerPos_two_quarter", - "name": "runnerPos_two_quarter", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.runnerPos_three_quarter", - "name": "runnerPos_three_quarter", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.lonely_k2_speeds_1_2", - "name": "lonely_k2_speeds_1_2", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.lonely_k3_speeds_1_2_3", - "name": "lonely_k3_speeds_1_2_3", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.scarSupport_eq_scarRegion", - "name": "scarSupport_eq_scarRegion", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.origin_uncovered_at_one_over_k_plus_one", - "name": "origin_uncovered_at_one_over_k_plus_one", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "theorem", - "id": "Semantics.LonelyRunner.lonely_k_speeds_1_to_k", - "name": "lonely_k_speeds_1_to_k", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "def", - "id": "Semantics.LonelyRunner.scarRegion", - "name": "scarRegion", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "def", - "id": "Semantics.LonelyRunner.lonelyTimeExists", - "name": "lonelyTimeExists", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "def", - "id": "Semantics.LonelyRunner.cyclicPrev", - "name": "cyclicPrev", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "def", - "id": "Semantics.LonelyRunner.isRisingEdge", - "name": "isRisingEdge", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "def", - "id": "Semantics.LonelyRunner.beta0Circular", - "name": "beta0Circular", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "def", - "id": "Semantics.LonelyRunner.beta0", - "name": "beta0", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "def", - "id": "Semantics.LonelyRunner.lonelyRunnerReceipt", - "name": "lonelyRunnerReceipt", - "module": "Semantics.LonelyRunner" - }, - { - "kind": "module", - "id": "Semantics.MISignal", - "name": "MISignal", - "path": "Semantics/MISignal.lean", - "namespace": "Semantics.MISignal", - "doc": "MISignal.lean - Mutual Information Signal Processing Bindings Ports rows 72-76 from MATH_MODEL_MAP.tsv (Python \u2192 Lean). All values are Q16.16. Bits-per-byte range [0, 8] maps to [0, 8\u00b765536].", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 10, - "struct_count": 1, - "inductive_count": 0, - "line_count": 93 - }, - { - "kind": "def", - "id": "Semantics.MISignal.epsilon", - "name": "epsilon", - "module": "Semantics.MISignal" - }, - { - "kind": "def", - "id": "Semantics.MISignal.bitsPerByteMax", - "name": "bitsPerByteMax", - "module": "Semantics.MISignal" - }, - { - "kind": "def", - "id": "Semantics.MISignal.mutualInformationSignal", - "name": "mutualInformationSignal", - "module": "Semantics.MISignal" - }, - { - "kind": "def", - "id": "Semantics.MISignal.knnMIPrediction", - "name": "knnMIPrediction", - "module": "Semantics.MISignal" - }, - { - "kind": "def", - "id": "Semantics.MISignal.surpriseMetric", - "name": "surpriseMetric", - "module": "Semantics.MISignal" - }, - { - "kind": "def", - "id": "Semantics.MISignal.structureYield", - "name": "structureYield", - "module": "Semantics.MISignal" - }, - { - "kind": "def", - "id": "Semantics.MISignal.weightedFeatureDistanceSq", - "name": "weightedFeatureDistanceSq", - "module": "Semantics.MISignal" - }, - { - "kind": "def", - "id": "Semantics.MISignal.miInvariant", - "name": "miInvariant", - "module": "Semantics.MISignal" - }, - { - "kind": "def", - "id": "Semantics.MISignal.miCost", - "name": "miCost", - "module": "Semantics.MISignal" - }, - { - "kind": "def", - "id": "Semantics.MISignal.miSignalBind", - "name": "miSignalBind", - "module": "Semantics.MISignal" - }, - { - "kind": "module", - "id": "Semantics.MMRFAMMUnification", - "name": "MMRFAMMUnification", - "path": "Semantics/MMRFAMMUnification.lean", - "namespace": "Semantics.MMRFAMMUnification", - "doc": "FAMM cells are MMR leaves \u2014 live, high-resolution delay lines. Merge operations coarsen delay (losing temporal resolution but gaining causal depth). `delayMass` is the MMR depth proxy. ## Energy Invariant (proof target) merge preserves total causal cost: a.delayMass + b.delayMass = merge(a,b).dela", - "math_kind": "fixedpoint", - "sorry_count": 1, - "theorem_count": 3, - "def_count": 16, - "struct_count": 1, - "inductive_count": 1, - "line_count": 209 - }, - { - "kind": "theorem", - "id": "Semantics.MMRFAMMUnification.famm_merge_preserves_cost", - "name": "famm_merge_preserves_cost", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "theorem", - "id": "Semantics.MMRFAMMUnification.total_causal_cost_invariant_test", - "name": "total_causal_cost_invariant_test", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "theorem", - "id": "Semantics.MMRFAMMUnification.merge_depth_monotone", - "name": "merge_depth_monotone", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.mmrLevelEq", - "name": "mmrLevelEq", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.classifyDepth", - "name": "classifyDepth", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.fammCellMerge", - "name": "fammCellMerge", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.totalCausalCost", - "name": "totalCausalCost", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.mmrLevelMerge", - "name": "mmrLevelMerge", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.totalSystemCost", - "name": "totalSystemCost", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.bankToLeaf", - "name": "bankToLeaf", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.mmrLevelInArray", - "name": "mmrLevelInArray", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.mmrThermalDefrag", - "name": "mmrThermalDefrag", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.leafCellA", - "name": "leafCellA", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.leafCellB", - "name": "leafCellB", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.mergedCell", - "name": "mergedCell", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.leafLevel", - "name": "leafLevel", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.midLevel", - "name": "midLevel", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.mergedLevel", - "name": "mergedLevel", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "def", - "id": "Semantics.MMRFAMMUnification.hotLevel", - "name": "hotLevel", - "module": "Semantics.MMRFAMMUnification" - }, - { - "kind": "module", - "id": "Semantics.MNLOGQuaternionBridge", - "name": "MNLOGQuaternionBridge", - "path": "Semantics/MNLOGQuaternionBridge.lean", - "namespace": "Semantics.MNLOGQuaternionBridge", - "doc": "MNLOG-005: Quaternion Scalar Alignment for Semantic Orientation Tracking", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 15, - "struct_count": 7, - "inductive_count": 2, - "line_count": 406 - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.quaternionConjugate", - "name": "quaternionConjugate", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.quaternionGradientConnection", - "name": "quaternionGradientConnection", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.normalizedSemanticDistance", - "name": "normalizedSemanticDistance", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.extractScalarAlignment", - "name": "extractScalarAlignment", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.extractDriftVector", - "name": "extractDriftVector", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.computeRotationAngle", - "name": "computeRotationAngle", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.buildSemanticGradientConnection", - "name": "buildSemanticGradientConnection", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.checkGradientConnectionValidity", - "name": "checkGradientConnectionValidity", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.antiDriftDetection", - "name": "antiDriftDetection", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.noncommutativityCheck", - "name": "noncommutativityCheck", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.isNonRhombus", - "name": "isNonRhombus", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.quadrilateralToScalar0d", - "name": "quadrilateralToScalar0d", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.quadrilateralToNSpace", - "name": "quadrilateralToNSpace", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.nspaceToQuaternionScalar", - "name": "nspaceToQuaternionScalar", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "def", - "id": "Semantics.MNLOGQuaternionBridge.quadrilateralToQuaternionScalar", - "name": "quadrilateralToQuaternionScalar", - "module": "Semantics.MNLOGQuaternionBridge" - }, - { - "kind": "module", - "id": "Semantics.MOFCO2Reduction", - "name": "MOFCO2Reduction", - "path": "Semantics/MOFCO2Reduction.lean", - "namespace": "Semantics.MOFCO2Reduction", - "doc": "# MOF-Based CO2 Reduction Electrochemistry This module formalizes the electrochemical reduction equations for CO2 using Metal-Organic Framework (MOF) catalysts. The equations are grounded in fixed-point arithmetic (Q0_16, Q16_16) per AGENTS.md requirements. Key reactions: 2e- reduction: CO2 \u2192 CO, ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 7, - "def_count": 10, - "struct_count": 1, - "inductive_count": 2, - "line_count": 156 - }, - { - "kind": "theorem", - "id": "Semantics.MOFCO2Reduction.twoElectron_lt_sixElectron", - "name": "twoElectron_lt_sixElectron", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "theorem", - "id": "Semantics.MOFCO2Reduction.sixElectron_lt_eightElectron", - "name": "sixElectron_lt_eightElectron", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "theorem", - "id": "Semantics.MOFCO2Reduction.energyCost_same_potential_equal", - "name": "energyCost_same_potential_equal", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "theorem", - "id": "Semantics.MOFCO2Reduction.minPotential_CO_raw_eq_CH3OH", - "name": "minPotential_CO_raw_eq_CH3OH", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "theorem", - "id": "Semantics.MOFCO2Reduction.sampleCOState_potential_sufficient", - "name": "sampleCOState_potential_sufficient", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "theorem", - "id": "Semantics.MOFCO2Reduction.sampleCH4State_potential_sufficient", - "name": "sampleCH4State_potential_sufficient", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "theorem", - "id": "Semantics.MOFCO2Reduction.sampleCOState_bind_passes", - "name": "sampleCOState_bind_passes", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "def", - "id": "Semantics.MOFCO2Reduction.reactionElectronCount", - "name": "reactionElectronCount", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "def", - "id": "Semantics.MOFCO2Reduction.reactionMinPotential", - "name": "reactionMinPotential", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "def", - "id": "Semantics.MOFCO2Reduction.initCO2ReductionState", - "name": "initCO2ReductionState", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "def", - "id": "Semantics.MOFCO2Reduction.potentialSufficient", - "name": "potentialSufficient", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "def", - "id": "Semantics.MOFCO2Reduction.energyCostPerMole", - "name": "energyCostPerMole", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "def", - "id": "Semantics.MOFCO2Reduction.faradaicEfficiencyBind", - "name": "faradaicEfficiencyBind", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "def", - "id": "Semantics.MOFCO2Reduction.potentialBind", - "name": "potentialBind", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "def", - "id": "Semantics.MOFCO2Reduction.co2ReductionBind", - "name": "co2ReductionBind", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "def", - "id": "Semantics.MOFCO2Reduction.sampleCOState", - "name": "sampleCOState", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "def", - "id": "Semantics.MOFCO2Reduction.sampleCH4State", - "name": "sampleCH4State", - "module": "Semantics.MOFCO2Reduction" - }, - { - "kind": "module", - "id": "Semantics.MagnetoPlasma", - "name": "MagnetoPlasma", - "path": "Semantics/MagnetoPlasma.lean", - "namespace": "Semantics.MagnetoPlasma", - "doc": "Standardize on hardware-native scalar type", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 19, - "struct_count": 7, - "inductive_count": 5, - "line_count": 373 - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.quantizeNonnegative", - "name": "quantizeNonnegative", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.defaultMagnetoCore", - "name": "defaultMagnetoCore", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.defaultMagnetoSpectralHook", - "name": "defaultMagnetoSpectralHook", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.coreStrength", - "name": "coreStrength", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.sampleSpectrallyCompatible", - "name": "sampleSpectrallyCompatible", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.spectralAffinityOf", - "name": "spectralAffinityOf", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.confinementFromCore", - "name": "confinementFromCore", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.reconnectionFromSignature", - "name": "reconnectionFromSignature", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.classifyMagnetoPlasmaRegime", - "name": "classifyMagnetoPlasmaRegime", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.inferMagnetoPlasmaSignature", - "name": "inferMagnetoPlasmaSignature", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.regimeSupportsLink", - "name": "regimeSupportsLink", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.regionCompatible", - "name": "regionCompatible", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.bodyCouplingStrength", - "name": "bodyCouplingStrength", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.applyMagnetoBias", - "name": "applyMagnetoBias", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.interactBodies", - "name": "interactBodies", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.defaultMagnetoLink", - "name": "defaultMagnetoLink", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.defaultHyperFlowSignature", - "name": "defaultHyperFlowSignature", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.defaultMagnetoBody2D", - "name": "defaultMagnetoBody2D", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "def", - "id": "Semantics.MagnetoPlasma.magnetoCoreBody2D", - "name": "magnetoCoreBody2D", - "module": "Semantics.MagnetoPlasma" - }, - { - "kind": "module", - "id": "Semantics.ManifoldBoundaryAtlas", - "name": "ManifoldBoundaryAtlas", - "path": "Semantics/ManifoldBoundaryAtlas.lean", - "namespace": "Semantics.ManifoldBoundaryAtlas", - "doc": "# ManifoldBoundaryAtlas A ManifoldBoundaryAtlas is a deterministic seed-generated set of candidate boundary coordinates for RRC-style projection checks. It generalizes `HexLogogramAtlas`: the seed does not claim a tear, proof, or manifold truth; it generates a finite boundary candidate surface tha", - "math_kind": "rrc", - "sorry_count": 0, - "theorem_count": 9, - "def_count": 15, - "struct_count": 2, - "inductive_count": 1, - "line_count": 263 - }, - { - "kind": "theorem", - "id": "Semantics.ManifoldBoundaryAtlas.smallBoundaryReplay", - "name": "smallBoundaryReplay", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "theorem", - "id": "Semantics.ManifoldBoundaryAtlas.canonicalBoundaryAtlasPromotable", - "name": "canonicalBoundaryAtlasPromotable", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "theorem", - "id": "Semantics.ManifoldBoundaryAtlas.tinyBoundaryAtlasNotPromotable", - "name": "tinyBoundaryAtlasNotPromotable", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "theorem", - "id": "Semantics.ManifoldBoundaryAtlas.badBoundaryDomainAtlasNotPromotable", - "name": "badBoundaryDomainAtlasNotPromotable", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "theorem", - "id": "Semantics.ManifoldBoundaryAtlas.missingResidualBoundaryAtlasNotPromotable", - "name": "missingResidualBoundaryAtlasNotPromotable", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "theorem", - "id": "Semantics.ManifoldBoundaryAtlas.promotedBoundaryAtlasStructurallyValid", - "name": "promotedBoundaryAtlasStructurallyValid", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "theorem", - "id": "Semantics.ManifoldBoundaryAtlas.promotedBoundaryAtlasSatisfiesByteLaw", - "name": "promotedBoundaryAtlasSatisfiesByteLaw", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "theorem", - "id": "Semantics.ManifoldBoundaryAtlas.promotedBoundaryAtlasSetsRrcTearBoundary", - "name": "promotedBoundaryAtlasSetsRrcTearBoundary", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "theorem", - "id": "Semantics.ManifoldBoundaryAtlas.boundaryAtlasAloneDoesNotProject", - "name": "boundaryAtlasAloneDoesNotProject", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.expectedHexBase", - "name": "expectedHexBase", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.boundaryAtlasStructurallyValid", - "name": "boundaryAtlasStructurallyValid", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.boundaryRawValueAt", - "name": "boundaryRawValueAt", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.boundaryCandidateAt", - "name": "boundaryCandidateAt", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.replayBoundaryAtlas", - "name": "replayBoundaryAtlas", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.explicitBoundaryTableBytes", - "name": "explicitBoundaryTableBytes", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.boundaryAtlasEncodedBytes", - "name": "boundaryAtlasEncodedBytes", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.boundaryAtlasByteLawHolds", - "name": "boundaryAtlasByteLawHolds", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.boundaryAtlasPromotable", - "name": "boundaryAtlasPromotable", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.rrcBoundaryReceiptFromAtlas", - "name": "rrcBoundaryReceiptFromAtlas", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.smallBoundaryAtlas", - "name": "smallBoundaryAtlas", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.canonicalBoundaryAtlas", - "name": "canonicalBoundaryAtlas", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.tinyBoundaryAtlas", - "name": "tinyBoundaryAtlas", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.badBoundaryDomainAtlas", - "name": "badBoundaryDomainAtlas", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "def", - "id": "Semantics.ManifoldBoundaryAtlas.missingResidualBoundaryAtlas", - "name": "missingResidualBoundaryAtlas", - "module": "Semantics.ManifoldBoundaryAtlas" - }, - { - "kind": "module", - "id": "Semantics.ManifoldFlow", - "name": "ManifoldFlow", - "path": "Semantics/ManifoldFlow.lean", - "namespace": "Semantics.ManifoldFlow", - "doc": "Semantics/ManifoldFlow.lean - Anisotropically Frustrated Torsional Gradient Flow This module formalizes the \"n-space foldback-lock\" equation as the authoritative governing physics for the Sovereign Informatic Manifold. Governing Equation: \u2202_t \u03d5 = \u2207_i(M^ij \u2207_j \u03b4F/\u03b4\u03d5) - \u03c3 \u2202\u03d5/\u2202I_lock \u2202_t X^A = -\u0393^A_B", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 7, - "struct_count": 4, - "inductive_count": 0, - "line_count": 123 - }, - { - "kind": "def", - "id": "Semantics.ManifoldFlow.lockingPotential", - "name": "lockingPotential", - "module": "Semantics.ManifoldFlow" - }, - { - "kind": "def", - "id": "Semantics.ManifoldFlow.interlockingEnergy", - "name": "interlockingEnergy", - "module": "Semantics.ManifoldFlow" - }, - { - "kind": "def", - "id": "Semantics.ManifoldFlow.torsionalStress", - "name": "torsionalStress", - "module": "Semantics.ManifoldFlow" - }, - { - "kind": "def", - "id": "Semantics.ManifoldFlow.stableDt", - "name": "stableDt", - "module": "Semantics.ManifoldFlow" - }, - { - "kind": "def", - "id": "Semantics.ManifoldFlow.cflSatisfied", - "name": "cflSatisfied", - "module": "Semantics.ManifoldFlow" - }, - { - "kind": "def", - "id": "Semantics.ManifoldFlow.flowPhi", - "name": "flowPhi", - "module": "Semantics.ManifoldFlow" - }, - { - "kind": "def", - "id": "Semantics.ManifoldFlow.flowEmbedding", - "name": "flowEmbedding", - "module": "Semantics.ManifoldFlow" - }, - { - "kind": "module", - "id": "Semantics.ManifoldNetworking", - "name": "ManifoldNetworking", - "path": "Semantics/ManifoldNetworking.lean", - "namespace": "Semantics.ManifoldNetworking", - "doc": "This module takes the mathematical foundations of Linux kernel networking (queueing theory, Little's Law, token bucket, AIMD, CUBIC) and applies them to a non-normal manifold-based networking abstraction that throws out the kernel's assumptions while preserving the mathematics. **Linux Kernel Assum", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 8, - "def_count": 14, - "struct_count": 10, - "inductive_count": 1, - "line_count": 466 - }, - { - "kind": "theorem", - "id": "Semantics.ManifoldNetworking.isNormalNetworkLimit_fails_nonZeroCurvature", - 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"module": "Semantics.ManifoldNetworking" - }, - { - "kind": "def", - "id": "Semantics.ManifoldNetworking.aimdUpdate", - "name": "aimdUpdate", - "module": "Semantics.ManifoldNetworking" - }, - { - "kind": "def", - "id": "Semantics.ManifoldNetworking.cubicComputeK", - "name": "cubicComputeK", - "module": "Semantics.ManifoldNetworking" - }, - { - "kind": "def", - "id": "Semantics.ManifoldNetworking.cubicUpdate", - "name": "cubicUpdate", - "module": "Semantics.ManifoldNetworking" - }, - { - "kind": "def", - "id": "Semantics.ManifoldNetworking.selectOptimalPath", - "name": "selectOptimalPath", - "module": "Semantics.ManifoldNetworking" - }, - { - "kind": "def", - "id": "Semantics.ManifoldNetworking.manifoldInputInvariant", - "name": "manifoldInputInvariant", - "module": "Semantics.ManifoldNetworking" - }, - { - "kind": "def", - "id": "Semantics.ManifoldNetworking.manifoldOutputInvariant", - "name": "manifoldOutputInvariant", - "module": "Semantics.ManifoldNetworking" - }, - { - "kind": "def", - "id": "Semantics.ManifoldNetworking.manifoldOperationCost", - "name": "manifoldOperationCost", - "module": "Semantics.ManifoldNetworking" - }, - { - "kind": "def", - "id": "Semantics.ManifoldNetworking.performManifoldOperation", - "name": "performManifoldOperation", - "module": "Semantics.ManifoldNetworking" - }, - { - "kind": "def", - "id": "Semantics.ManifoldNetworking.manifoldBind", - "name": "manifoldBind", - "module": "Semantics.ManifoldNetworking" - }, - { - "kind": "def", - "id": "Semantics.ManifoldNetworking.isNormalNetworkLimit", - "name": "isNormalNetworkLimit", - "module": "Semantics.ManifoldNetworking" - }, - { - "kind": "module", - "id": "Semantics.ManifoldPotential", - "name": "ManifoldPotential", - "path": "Semantics/ManifoldPotential.lean", - "namespace": "Semantics.ManifoldPotential", - "doc": "", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 15, - "struct_count": 8, - "inductive_count": 4, - "line_count": 283 - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.addPulls", - "name": "addPulls", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.explicitAliasDetected", - "name": "explicitAliasDetected", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.threadAliasDetected", - "name": "threadAliasDetected", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.scaffoldingRoleOf", - "name": "scaffoldingRoleOf", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.classifyPotentialMorphology", - "name": "classifyPotentialMorphology", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.boundaryModeOf", - "name": "boundaryModeOf", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.threadCountOf", - "name": "threadCountOf", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.potentialSignatureOf", - "name": "potentialSignatureOf", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.classifyPotentialRegime", - "name": "classifyPotentialRegime", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.classifyPotentialStability", - "name": "classifyPotentialStability", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.potentialCompatibleWithBoundary", - "name": "potentialCompatibleWithBoundary", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.mergeBasins", - "name": "mergeBasins", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.mergeGradients", - "name": "mergeGradients", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.mergePotentials", - "name": "mergePotentials", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "def", - "id": "Semantics.ManifoldPotential.processPotentialTransition", - "name": "processPotentialTransition", - "module": "Semantics.ManifoldPotential" - }, - { - "kind": "module", - "id": "Semantics.ManifoldStructures", - "name": "ManifoldStructures", - "path": "Semantics/ManifoldStructures.lean", - "namespace": "Semantics.ManifoldStructures", - "doc": "", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 0, - "struct_count": 4, - "inductive_count": 5, - "line_count": 107 - }, - { - "kind": "module", - "id": "Semantics.ManifoldTopology", - "name": "ManifoldTopology", - "path": "Semantics/ManifoldTopology.lean", - "namespace": "Semantics.ManifoldTopology", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team ManifoldTopology.lean \u2014 Topological Perception and Reshaping of Research Stack This module formalizes the problem: a human cannot see the complete manifold that their project represents. 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Authors: Research Stack Team ManyWorldsAddress.lean \u2014 Observer-Relative Addressing via Many-Worlds Spawning Core insight: Remove the speed limit \u2192 no global simultaneity \u2192 every observer frame is its own world. 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Binds together the agent designs for: TMDS lane encoding (HDMI/DP PHY \u2014 Agent 1) VCN video encode/decode (MKV trick \u2014 Agent 2) Multi-transport selection, fragmentation, fallback (Agent 3) No dependency on NICProbe or ASICTopology t", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 6, - "def_count": 33, - "struct_count": 15, - "inductive_count": 6, - "line_count": 648 - }, - { - "kind": "theorem", - "id": "Semantics.MeshRouting.resolution_mono", - "name": "resolution_mono", - "module": "Semantics.MeshRouting" - }, - { - "kind": "theorem", - "id": "Semantics.MeshRouting.goxelFieldEnergyConservation", - "name": "goxelFieldEnergyConservation", - "module": "Semantics.MeshRouting" - }, - { - "kind": "theorem", - "id": "Semantics.MeshRouting.goxelTopologyPreserved", - "name": "goxelTopologyPreserved", - "module": "Semantics.MeshRouting" - }, - { - "kind": "theorem", - "id": "Semantics.MeshRouting.vcnFrameSizeYuv420Correct", - "name": "vcnFrameSizeYuv420Correct", - 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}, - { - "kind": "def", - "id": "Semantics.MetaManifoldProver.surfaceCheck", - "name": "surfaceCheck", - "module": "Semantics.MetaManifoldProver" - }, - { - "kind": "def", - "id": "Semantics.MetaManifoldProver.metaManifoldProver", - "name": "metaManifoldProver", - "module": "Semantics.MetaManifoldProver" - }, - { - "kind": "def", - "id": "Semantics.MetaManifoldProver.metaManifoldProverBind", - "name": "metaManifoldProverBind", - "module": "Semantics.MetaManifoldProver" - }, - { - "kind": "module", - "id": "Semantics.MetadataSurfaceComputation", - "name": "MetadataSurfaceComputation", - "path": "Semantics/MetadataSurfaceComputation.lean", - "namespace": "Semantics.MetadataSurfaceComputation", - "doc": "MetadataSurfaceComputation.lean \u2014 Metadata Surface Computation with No Payload Transmission This module formalizes metadata surface computation: the payload never moves, only the metadata surface is exposed. Per AGENTS.md \u00a71.6: No proof placeholders in committed code. 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}, - { - "kind": "theorem", - "id": "Semantics.MinimalBitcoinL3.localOnlyNoTransmissionWithoutGrant", - "name": "localOnlyNoTransmissionWithoutGrant", - "module": "Semantics.MinimalBitcoinL3" - }, - { - "kind": "theorem", - "id": "Semantics.MinimalBitcoinL3.refusedTransitionPreservesState", - "name": "refusedTransitionPreservesState", - "module": "Semantics.MinimalBitcoinL3" - }, - { - "kind": "theorem", - "id": "Semantics.MinimalBitcoinL3.zeroDeltaPreservesState", - "name": "zeroDeltaPreservesState", - "module": "Semantics.MinimalBitcoinL3" - }, - { - "kind": "theorem", - "id": "Semantics.MinimalBitcoinL3.externalAnchorPreservesReceiptRoot", - "name": "externalAnchorPreservesReceiptRoot", - "module": "Semantics.MinimalBitcoinL3" - }, - { - "kind": "theorem", - "id": "Semantics.MinimalBitcoinL3.anchorDoesNotExpandScope", - "name": "anchorDoesNotExpandScope", - "module": "Semantics.MinimalBitcoinL3" - }, - { - "kind": "theorem", - "id": "Semantics.MinimalBitcoinL3.deltaWithinBound_valid", - 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}, - { - "kind": "theorem", - "id": "Semantics.MinimalBitcoinL3.applyTransition_preservesWhenNotAllowed", - "name": "applyTransition_preservesWhenNotAllowed", - "module": "Semantics.MinimalBitcoinL3" - }, - { - "kind": "theorem", - "id": "Semantics.MinimalBitcoinL3.applyTransition_changesToTarget", - "name": "applyTransition_changesToTarget", - "module": "Semantics.MinimalBitcoinL3" - }, - { - "kind": "def", - "id": "Semantics.MinimalBitcoinL3.executeTransition", - "name": "executeTransition", - "module": "Semantics.MinimalBitcoinL3" - }, - { - "kind": "def", - "id": "Semantics.MinimalBitcoinL3.transitionAllowed", - "name": "transitionAllowed", - "module": "Semantics.MinimalBitcoinL3" - }, - { - "kind": "def", - "id": "Semantics.MinimalBitcoinL3.applyTransition", - "name": "applyTransition", - "module": "Semantics.MinimalBitcoinL3" - }, - { - "kind": "def", - "id": "Semantics.MinimalBitcoinL3.tryAnchorReceipt", - "name": "tryAnchorReceipt", - "module": "Semantics.MinimalBitcoinL3" - }, - { - "kind": "def", - "id": "Semantics.MinimalBitcoinL3.isLocalOnly", - "name": "isLocalOnly", - "module": "Semantics.MinimalBitcoinL3" - }, - { - "kind": "def", - "id": "Semantics.MinimalBitcoinL3.deltaWithinBound", - "name": "deltaWithinBound", - "module": "Semantics.MinimalBitcoinL3" - }, - { - "kind": "module", - "id": "Semantics.MinimalLayer3Eval", - "name": "MinimalLayer3Eval", - "path": "Semantics/MinimalLayer3Eval.lean", - "namespace": "Semantics.MinimalLayer3Eval", - "doc": "**Purpose:** 8/8 local-commit quiz cases passed for minimal Bitcoin L3 surface. Test local transitions, receipts, and optional external anchoring. **Test Cases:** 1. valid_internal_transition \u2192 ALLOW_LOCAL_TRANSITION 2. missing_policy_root \u2192 REFUSE_TRANSITION_IF_UNSCOPED 3. domain_mismatch_batch \u2192 ", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 12, - "struct_count": 2, - "inductive_count": 0, - "line_count": 236 - }, - { - "kind": "def", - "id": "Semantics.MinimalLayer3Eval.computeTransitionHash", - "name": "computeTransitionHash", - "module": "Semantics.MinimalLayer3Eval" - }, - { - "kind": "def", - "id": "Semantics.MinimalLayer3Eval.testCase1_validInternalTransition", - "name": "testCase1_validInternalTransition", - "module": "Semantics.MinimalLayer3Eval" - }, - { - "kind": "def", - "id": "Semantics.MinimalLayer3Eval.testCase2_missingPolicyRoot", - "name": "testCase2_missingPolicyRoot", - "module": "Semantics.MinimalLayer3Eval" - }, - { - "kind": "def", - "id": "Semantics.MinimalLayer3Eval.testCase3_domainMismatchBatch", - "name": "testCase3_domainMismatchBatch", - "module": "Semantics.MinimalLayer3Eval" - }, - { - "kind": "def", - "id": "Semantics.MinimalLayer3Eval.testCase4_missingTransitionProof", - "name": "testCase4_missingTransitionProof", - "module": "Semantics.MinimalLayer3Eval" - }, - { - "kind": "def", - "id": "Semantics.MinimalLayer3Eval.testCase5_localOnlyTransition", - "name": "testCase5_localOnlyTransition", - "module": "Semantics.MinimalLayer3Eval" - }, - { - "kind": "def", - "id": "Semantics.MinimalLayer3Eval.testCase6_validExternalAnchor", - "name": "testCase6_validExternalAnchor", - "module": "Semantics.MinimalLayer3Eval" - }, - { - "kind": "def", - "id": "Semantics.MinimalLayer3Eval.testCase7_anchorScopeExpansion", - "name": "testCase7_anchorScopeExpansion", - "module": "Semantics.MinimalLayer3Eval" - }, - { - "kind": "def", - "id": "Semantics.MinimalLayer3Eval.testCase8_replayedTransition", - "name": "testCase8_replayedTransition", - "module": "Semantics.MinimalLayer3Eval" - }, - { - "kind": "def", - "id": "Semantics.MinimalLayer3Eval.executeMinimalQuiz", - "name": "executeMinimalQuiz", - "module": "Semantics.MinimalLayer3Eval" - }, - { - "kind": "def", - "id": "Semantics.MinimalLayer3Eval.countMinimalPassed", - "name": "countMinimalPassed", - "module": "Semantics.MinimalLayer3Eval" - }, - { - "kind": "def", - "id": "Semantics.MinimalLayer3Eval.generateMinimalQuizSummary", - "name": "generateMinimalQuizSummary", - "module": "Semantics.MinimalLayer3Eval" - }, - { - "kind": "module", - "id": "Semantics.MoECache", - "name": "MoECache", - "path": "Semantics/MoECache.lean", - "namespace": "Semantics.MoECache", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team MoECache.lean \u2014 MoE Cache Data Structures and Eviction Policy Replaces infra/moe_ene_cache.py cache logic with a formal Lean module. Defines MoE (Mixture-of-Experts) cache structures and eviction polic", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 8, - "struct_count": 6, - "inductive_count": 0, - "line_count": 175 - }, - { - "kind": "theorem", - "id": "Semantics.MoECache.hitCountIncreases", - "name": "hitCountIncreases", - "module": "Semantics.MoECache" - }, - { - "kind": "theorem", - "id": "Semantics.MoECache.lruInitBounded", - "name": "lruInitBounded", - "module": "Semantics.MoECache" - }, - { - "kind": "def", - "id": "Semantics.MoECache.zero", - "name": "zero", - "module": "Semantics.MoECache" - }, - { - "kind": "def", - "id": "Semantics.MoECache.one", - "name": "one", - "module": "Semantics.MoECache" - }, - { - "kind": "def", - "id": "Semantics.MoECache.ofFrac", - "name": "ofFrac", - "module": "Semantics.MoECache" - }, - { - "kind": "def", - "id": "Semantics.MoECache.initLRUCache", - "name": "initLRUCache", - "module": "Semantics.MoECache" - }, - { - "kind": "def", - "id": "Semantics.MoECache.lruAccess", - "name": "lruAccess", - "module": "Semantics.MoECache" - }, - { - "kind": "def", - "id": "Semantics.MoECache.getLRUEvictionKey", - "name": "getLRUEvictionKey", - "module": "Semantics.MoECache" - }, - { - "kind": "def", - "id": "Semantics.MoECache.incrementHitCount", - "name": "incrementHitCount", - "module": "Semantics.MoECache" - }, - { - "kind": "def", - "id": "Semantics.MoECache.computeHitRate", - "name": "computeHitRate", - "module": "Semantics.MoECache" - }, - { - "kind": "module", - "id": "Semantics.MorphicDSP", - "name": "MorphicDSP", - "path": "Semantics/MorphicDSP.lean", - "namespace": "Semantics.MorphicDSP", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team MorphicDSP.lean \u2014 Reconfigurable DSP via Morphic Scalar This module reconfigures the concept of DSP (Digital Signal Processing) from fixed-function hardware to morphic-scalar-controlled reconfigurable ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 36, - "struct_count": 10, - "inductive_count": 2, - "line_count": 531 - }, - { - "kind": "theorem", - "id": "Semantics.MorphicDSP.superposedMapsToAdaptive", - "name": "superposedMapsToAdaptive", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "theorem", - "id": "Semantics.MorphicDSP.criticalOepiAllocatesAll", - "name": "criticalOepiAllocatesAll", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "theorem", - "id": "Semantics.MorphicDSP.lowOepiAllocatesOne", - "name": "lowOepiAllocatesOne", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "theorem", - "id": "Semantics.MorphicDSP.initDspBankHasFiveSlices", - "name": "initDspBankHasFiveSlices", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.stateToDspMode", - "name": "stateToDspMode", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.configureDspSlice", - "name": "configureDspSlice", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.executeDspOp", - "name": "executeDspOp", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.initDspBank", - "name": "initDspBank", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.configureDspBank", - "name": "configureDspBank", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.allocateDspSlices", - "name": "allocateDspSlices", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.admissibleBasis", - "name": "admissibleBasis", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.isInAdmissibleBasis", - "name": "isInAdmissibleBasis", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.checkCollapseGate", - "name": "checkCollapseGate", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.checkMergeGate", - "name": "checkMergeGate", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.checkSplitGate", - "name": "checkSplitGate", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.checkTopologyGate", - "name": "checkTopologyGate", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.checkDeterminismGate", - "name": "checkDeterminismGate", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.quizValidModeCollapse", - "name": "quizValidModeCollapse", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.quizInvalidMode", - "name": "quizInvalidMode", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.quizMergeWithinBounds", - "name": "quizMergeWithinBounds", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.quizMergeExceedsResources", - "name": "quizMergeExceedsResources", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.quizSplitPreservesPrecision", - "name": "quizSplitPreservesPrecision", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.quizSplitLosesPrecision", - "name": "quizSplitLosesPrecision", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "def", - "id": "Semantics.MorphicDSP.quizTopologyAdaptationValid", - "name": "quizTopologyAdaptationValid", - "module": "Semantics.MorphicDSP" - }, - { - "kind": "module", - "id": "Semantics.MorphicLocalField", - "name": "MorphicLocalField", - "path": "Semantics/MorphicLocalField.lean", - "namespace": "MorphicLocalField", - "doc": "MorphicLocalField.lean Independently derived local-force emergence model for morphic scalar niche dynamics. Conceptually compared against particle-fluid toy simulations. This model defines the dynamics of scalar entities migrating through a topology space driven by local fields representing unmet ", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 11, - "struct_count": 4, - "inductive_count": 0, - "line_count": 285 - }, - { - "kind": "def", - "id": "Semantics.MorphicLocalField.needFieldGradient", - "name": "needFieldGradient", - "module": "Semantics.MorphicLocalField" - }, - { - "kind": "def", - "id": "Semantics.MorphicLocalField.riskFieldGradient", - "name": "riskFieldGradient", - "module": "Semantics.MorphicLocalField" - }, - { - "kind": "def", - "id": "Semantics.MorphicLocalField.curveField", - "name": "curveField", - "module": "Semantics.MorphicLocalField" - }, - { - "kind": "def", - "id": "Semantics.MorphicLocalField.noiseField", - "name": "noiseField", - "module": "Semantics.MorphicLocalField" - }, - { - "kind": "def", - "id": "Semantics.MorphicLocalField.computeForce", - "name": "computeForce", - "module": "Semantics.MorphicLocalField" - }, - { - "kind": "def", - "id": "Semantics.MorphicLocalField.projectToAdmissibleTopology", - "name": "projectToAdmissibleTopology", - "module": "Semantics.MorphicLocalField" - }, - { - "kind": "def", - "id": "Semantics.MorphicLocalField.successScore", - "name": "successScore", - "module": "Semantics.MorphicLocalField" - }, - { - "kind": "def", - "id": "Semantics.MorphicLocalField.failureScore", - "name": "failureScore", - "module": "Semantics.MorphicLocalField" - }, - { - "kind": "def", - "id": "Semantics.MorphicLocalField.unsafeScore", - "name": "unsafeScore", - "module": "Semantics.MorphicLocalField" - }, - { - "kind": "def", - "id": "Semantics.MorphicLocalField.normalizeAmplitude", - "name": "normalizeAmplitude", - "module": "Semantics.MorphicLocalField" - }, - { - "kind": "def", - "id": "Semantics.MorphicLocalField.updateAmplitude", - "name": "updateAmplitude", - "module": "Semantics.MorphicLocalField" - }, - { - "kind": "module", - "id": "Semantics.MorphicNeuralNetwork", - "name": "MorphicNeuralNetwork", - "path": "Semantics/MorphicNeuralNetwork.lean", - "namespace": "Semantics", - "doc": "inductive RoutingAction where | local : RoutingAction | atlas : RoutingAction | reject : RoutingAction deriving Repr, Inhabited, BEq, DecidableEq instance : ToString RoutingAction where toString | .local => \"local\" | .atlas => \"atlas\" | .reject => \"reject\" /-- Finite types for operation goals", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 11, - "struct_count": 5, - "inductive_count": 3, - "line_count": 251 - }, - { - "kind": "def", - "id": "Semantics.MorphicNeuralNetwork.scalarToGoal", - "name": "scalarToGoal", - "module": "Semantics.MorphicNeuralNetwork" - }, - { - "kind": "def", - "id": "Semantics.MorphicNeuralNetwork.goalToCodon", - "name": "goalToCodon", - "module": "Semantics.MorphicNeuralNetwork" - }, - { - "kind": "def", - "id": "Semantics.MorphicNeuralNetwork.canSatisfyLocally", - "name": "canSatisfyLocally", - "module": "Semantics.MorphicNeuralNetwork" - }, - { - "kind": "def", - "id": "Semantics.MorphicNeuralNetwork.selectPath", - "name": "selectPath", - "module": "Semantics.MorphicNeuralNetwork" - }, - { - "kind": "def", - "id": "Semantics.MorphicNeuralNetwork.mnnRoute", - "name": "mnnRoute", - "module": "Semantics.MorphicNeuralNetwork" - }, - { - "kind": "def", - "id": "Semantics.MorphicNeuralNetwork.scalarInvariant", - "name": "scalarInvariant", - "module": "Semantics.MorphicNeuralNetwork" - }, - { - "kind": "def", - "id": "Semantics.MorphicNeuralNetwork.stateInvariant", - "name": "stateInvariant", - "module": "Semantics.MorphicNeuralNetwork" - }, - { - "kind": "def", - "id": "Semantics.MorphicNeuralNetwork.carrierInvariant", - "name": "carrierInvariant", - "module": "Semantics.MorphicNeuralNetwork" - }, - { - "kind": "def", - "id": "Semantics.MorphicNeuralNetwork.decisionInvariant", - "name": "decisionInvariant", - "module": "Semantics.MorphicNeuralNetwork" - }, - { - "kind": "def", - "id": "Semantics.MorphicNeuralNetwork.mnnRoutingCost", - "name": "mnnRoutingCost", - "module": "Semantics.MorphicNeuralNetwork" - }, - { - "kind": "def", - "id": "Semantics.MorphicNeuralNetwork.mnnRoutingBind", - "name": "mnnRoutingBind", - "module": "Semantics.MorphicNeuralNetwork" - }, - { - "kind": "module", - "id": "Semantics.MorphicScalar", - "name": "MorphicScalar", - "path": "Semantics/MorphicScalar.lean", - "namespace": "Semantics.Morphic", - "doc": "inductive ScalarState where | superposed : ScalarState | scouting : ScalarState | measureLocalNeed : ScalarState | collapsedProfile : ScalarState | execute : ScalarState | receipt : ScalarState | amplitudeUpdate : ScalarState | queryCollective : ScalarState | collectiveResponse : ScalarState | query", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 9, - "struct_count": 5, - "inductive_count": 1, - "line_count": 198 - }, - { - "kind": "theorem", - "id": "Semantics.MorphicScalar.exampleOepiNonnegative", - "name": "exampleOepiNonnegative", - "module": "Semantics.MorphicScalar" - }, - { - "kind": "theorem", - "id": "Semantics.MorphicScalar.initializedSuperposedScalarHasNoNiche", - "name": "initializedSuperposedScalarHasNoNiche", - "module": "Semantics.MorphicScalar" - }, - { - "kind": "theorem", - "id": "Semantics.MorphicScalar.stateTransitionDeterministic", - "name": "stateTransitionDeterministic", - "module": "Semantics.MorphicScalar" - }, - { - "kind": "def", - "id": "Semantics.MorphicScalar.calculateOEPI", - "name": "calculateOEPI", - "module": "Semantics.MorphicScalar" - }, - { - "kind": "def", - "id": "Semantics.MorphicScalar.initMorphicScalar", - "name": "initMorphicScalar", - "module": "Semantics.MorphicScalar" - }, - { - "kind": "def", - "id": "Semantics.MorphicScalar.collapseProfile", - "name": "collapseProfile", - "module": "Semantics.MorphicScalar" - }, - { - "kind": "def", - "id": "Semantics.MorphicScalar.updateAmplitude", - "name": "updateAmplitude", - "module": "Semantics.MorphicScalar" - }, - { - "kind": "def", - "id": "Semantics.MorphicScalar.addLineageMemory", - 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"name": "interactionCoupling", - "module": "Semantics.MultiBodyField" - }, - { - "kind": "def", - "id": "Semantics.MultiBodyField.multiBodySignatureOf", - "name": "multiBodySignatureOf", - "module": "Semantics.MultiBodyField" - }, - { - "kind": "module", - "id": "Semantics.N3L_Energy", - "name": "N3L_Energy", - "path": "Semantics/N3L_Energy.lean", - "namespace": "Semantics.N3L_Energy", - "doc": "N3L_Energy.lean \u2014 No-Three-in-Line energy rigidity theorem Formalizes the energy-minimization approach to the No-Three-in-Line problem in \u211d\u00b2 with Gaussian ansatz. 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Authors: Research Stack Team NGemetry.lean \u2014 N-Dimensional Geometry Extension Extends SpatialEvo from 3D to n-dimensional geometry for VLSI design and general spatial reasoning applications. Key contributions: 1. 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Authors: Research Stack Team CognitiveLoadIntegration.lean \u2014 Cognitive Load Integration for Morphing This module integrates cognitive load calculations with the morphing mechanism to trigger state transitions based on workload req", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 18, - "struct_count": 5, - "inductive_count": 2, - "line_count": 226 - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.CognitiveLoadIntegration.cognitive_load_non_negative", - "name": "cognitive_load_non_negative", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.CognitiveLoadIntegration.update_increases_timestamp", - "name": "update_increases_timestamp", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.CognitiveLoadIntegration.morphing_decision_confidence_valid", - "name": "morphing_decision_confidence_valid", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.CognitiveLoadIntegration.load_based_morphing_preserves_thresholds", - "name": "load_based_morphing_preserves_thresholds", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.zero", - "name": "zero", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.one", - "name": "one", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.ofNat", - "name": "ofNat", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.initial", - "name": "initial", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.update", - "name": "update", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.isOverloaded", - "name": "isOverloaded", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.isIncreasing", - "name": "isIncreasing", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.default", - "name": "default", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.shouldMorph", - "name": "shouldMorph", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.getTargetMode", - "name": "getTargetMode", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.noMorph", - "name": "noMorph", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.toPolysemantic", - "name": "toPolysemantic", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.toAdaptive", - "name": "toAdaptive", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.evaluate", - "name": "evaluate", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.updateLoad", - "name": "updateLoad", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.shouldTriggerMorphing", - "name": "shouldTriggerMorphing", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CognitiveLoadIntegration.testCognitiveLoadIntegration", - "name": "testCognitiveLoadIntegration", - "module": "Semantics.NIICore.CognitiveLoadIntegration" - }, - { - "kind": "module", - "id": "Semantics.NIICore.DifferentialAttentionMorphing", - "name": "DifferentialAttentionMorphing", - "path": "Semantics/NIICore/DifferentialAttentionMorphing.lean", - "namespace": "Semantics.NIICore.DifferentialAttentionMorphing", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team DifferentialAttentionMorphing.lean \u2014 Differential Attention for Morphing Requirements This module implements differential attention mechanisms for identifying morphing requirements by comparing current", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 15, - "struct_count": 4, - "inductive_count": 3, - "line_count": 267 - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.differentialAttentionMagnitudeNonNegative", - "name": "differentialAttentionMagnitudeNonNegative", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.attentionBasedControllerPreservesCoreId", - "name": "attentionBasedControllerPreservesCoreId", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.morphingRequirementThreshold", - "name": "morphingRequirementThreshold", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.zero", - "name": "zero", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.one", - "name": "one", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.ofNat", - "name": "ofNat", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.abs", - "name": "abs", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.monosemantic", - "name": "monosemantic", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.polysemantic", - "name": "polysemantic", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.domainAttention", - "name": "domainAttention", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.compute", - "name": "compute", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.significantDomains", - "name": "significantDomains", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.morphingRequirement", - "name": "morphingRequirement", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.create", - "name": "create", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.evaluateMorphingNeed", - "name": "evaluateMorphingNeed", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.determineAction", - "name": "determineAction", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.executeAction", - "name": "executeAction", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "def", - "id": "Semantics.NIICore.DifferentialAttentionMorphing.testDifferentialAttentionMorphing", - "name": "testDifferentialAttentionMorphing", - "module": "Semantics.NIICore.DifferentialAttentionMorphing" - }, - { - "kind": "module", - "id": "Semantics.NIICore.HierarchicalController", - "name": "HierarchicalController", - "path": "Semantics/NIICore/HierarchicalController.lean", - "namespace": "Semantics.NIICore.HierarchicalController", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team HierarchicalController.lean \u2014 Hierarchical Morphing with Multi-Level Controllers This module implements a hierarchical controller system for NII core morphing, inspired by NeuroVM's dynamic virtualizat", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 16, - "struct_count": 4, - "inductive_count": 3, - "line_count": 285 - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.HierarchicalController.localControllerPreservesCoreId", - "name": "localControllerPreservesCoreId", - "module": "Semantics.NIICore.HierarchicalController" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.HierarchicalController.globalControllerPreservesLocalControllerCount", - "name": "globalControllerPreservesLocalControllerCount", - "module": "Semantics.NIICore.HierarchicalController" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.HierarchicalController.controllerStateTimestampIncreases", - "name": "controllerStateTimestampIncreases", - 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Authors: Research Stack Team MorphingTests.lean \u2014 Test Suite for NII Core Morphing This module provides a comprehensive test suite for the morphing mechanism to validate morphing behavior and integration across all components. 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Authors: Research Stack Team MorphingTriggers.lean \u2014 Morphing Triggers for NII Cores This module implements morphing triggers that cause NII cores to morph between semantic modes based on cognitive load, time intervals, and extern", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 18, - "struct_count": 5, - "inductive_count": 3, - "line_count": 224 - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.MorphingTriggers.trigger_condition_priority_positive", - "name": "trigger_condition_priority_positive", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.MorphingTriggers.morphing_action_confidence_valid", - "name": "morphing_action_confidence_valid", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.MorphingTriggers.trigger_manager_preserves_conditions", - "name": "trigger_manager_preserves_conditions", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.zero", - "name": "zero", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.one", - "name": "one", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.ofNat", - "name": "ofNat", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.loadTrigger", - "name": "loadTrigger", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.timeTrigger", - "name": "timeTrigger", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.eventTrigger", - "name": "eventTrigger", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.loadEvent", - "name": "loadEvent", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.timeEvent", - "name": "timeEvent", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.externalEvent", - "name": "externalEvent", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.create", - "name": "create", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.execute", - "name": "execute", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.initial", - "name": "initial", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.addCondition", - "name": "addCondition", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.addEvent", - "name": "addEvent", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.addAction", - "name": "addAction", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.checkTriggers", - "name": "checkTriggers", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.executeActions", - "name": "executeActions", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "def", - "id": "Semantics.NIICore.MorphingTriggers.testMorphingTriggers", - "name": "testMorphingTriggers", - "module": "Semantics.NIICore.MorphingTriggers" - }, - { - "kind": "module", - "id": "Semantics.NIICore.PredictiveResourceAllocation", - "name": "PredictiveResourceAllocation", - "path": "Semantics/NIICore/PredictiveResourceAllocation.lean", - "namespace": "Semantics.NIICore.PredictiveResourceAllocation", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team PredictiveResourceAllocation.lean \u2014 Predictive Resource Allocation for Morphing This module implements predictive resource allocation using time-series forecasting to anticipate cognitive load changes ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 19, - "struct_count": 7, - "inductive_count": 2, - "line_count": 298 - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.PredictiveResourceAllocation.timeSeriesLengthIncreases", - "name": "timeSeriesLengthIncreases", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.PredictiveResourceAllocation.predictiveControllerPreservesCoreId", - "name": "predictiveControllerPreservesCoreId", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.PredictiveResourceAllocation.forecastModelWeightsPreserveCount", - "name": "forecastModelWeightsPreserveCount", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.zero", - "name": "zero", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.one", - "name": "one", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.ofNat", - "name": "ofNat", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.abs", - "name": "abs", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.empty", - "name": "empty", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.addPoint", - "name": "addPoint", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.latest", - "name": "latest", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.movingAverage", - "name": "movingAverage", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.trend", - "name": "trend", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.initial", - "name": "initial", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.predict", - "name": "predict", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.updateWeights", - "name": "updateWeights", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.create", - "name": "create", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.recordLoad", - "name": "recordLoad", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.predictFutureLoad", - "name": "predictFutureLoad", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.preemptiveMorphing", - "name": "preemptiveMorphing", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.updateAllocation", - "name": "updateAllocation", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.updateModel", - "name": "updateModel", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "def", - "id": "Semantics.NIICore.PredictiveResourceAllocation.testPredictiveAllocation", - "name": "testPredictiveAllocation", - "module": "Semantics.NIICore.PredictiveResourceAllocation" - }, - { - "kind": "module", - "id": "Semantics.NIICore.SemanticAnalysis", - "name": "SemanticAnalysis", - "path": "Semantics/NIICore/SemanticAnalysis.lean", - "namespace": "Semantics.NIICore.SemanticAnalysis", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team SemanticAnalysisCore.lean - NII-01 Pattern Recognition Extracts semantic patterns from Rust source code: Enum variants and discriminants Decoder function structure Memory layout patterns Control flow g", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 9, - "struct_count": 8, - "inductive_count": 0, - "line_count": 259 - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.SemanticAnalysis.totalVariantCountCorrect", - "name": "totalVariantCountCorrect", - "module": "Semantics.NIICore.SemanticAnalysis" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.SemanticAnalysis.emptyExtractionZeroVariants", - "name": "emptyExtractionZeroVariants", - "module": "Semantics.NIICore.SemanticAnalysis" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.SemanticAnalysis.geometricScoreBounded", - "name": "geometricScoreBounded", - "module": "Semantics.NIICore.SemanticAnalysis" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SemanticAnalysis.PatternRecognizer", - "name": "PatternRecognizer", - "module": "Semantics.NIICore.SemanticAnalysis" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SemanticAnalysis.totalVariantCount", - "name": "totalVariantCount", - "module": "Semantics.NIICore.SemanticAnalysis" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SemanticAnalysis.averageDecoderComplexity", - "name": "averageDecoderComplexity", - "module": "Semantics.NIICore.SemanticAnalysis" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SemanticAnalysis.analyzeExtractionWithSwarm", - "name": "analyzeExtractionWithSwarm", - "module": "Semantics.NIICore.SemanticAnalysis" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SemanticAnalysis.exampleVariant", - "name": "exampleVariant", - "module": "Semantics.NIICore.SemanticAnalysis" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SemanticAnalysis.exampleEnum", - "name": "exampleEnum", - "module": "Semantics.NIICore.SemanticAnalysis" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SemanticAnalysis.exampleMatchArm", - "name": "exampleMatchArm", - "module": "Semantics.NIICore.SemanticAnalysis" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SemanticAnalysis.exampleDecoder", - "name": "exampleDecoder", - "module": "Semantics.NIICore.SemanticAnalysis" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SemanticAnalysis.exampleExtraction", - "name": "exampleExtraction", - "module": "Semantics.NIICore.SemanticAnalysis" - }, - { - "kind": "module", - "id": "Semantics.NIICore.SemanticCapabilitySystem", - "name": "SemanticCapabilitySystem", - "path": "Semantics/NIICore/SemanticCapabilitySystem.lean", - "namespace": "Semantics.NIICore.SemanticCapabilitySystem", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team SemanticCapabilitySystem.lean \u2014 Semantic Capability System for NII Cores This module defines the Semantic Capability System for dynamic semantic assignment to NII cores. 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}, - { - "kind": "def", - "id": "Semantics.NIICore.SemanticRGFlow.applyDecimationAndShow", - "name": "applyDecimationAndShow", - "module": "Semantics.NIICore.SemanticRGFlow" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SemanticRGFlow.performAttractorDescentAndShow", - "name": "performAttractorDescentAndShow", - "module": "Semantics.NIICore.SemanticRGFlow" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SemanticRGFlow.runRGFlowTest", - "name": "runRGFlowTest", - "module": "Semantics.NIICore.SemanticRGFlow" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SemanticRGFlow.printRGFlowTestResults", - "name": "printRGFlowTestResults", - "module": "Semantics.NIICore.SemanticRGFlow" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SemanticRGFlow.main", - "name": "main", - "module": "Semantics.NIICore.SemanticRGFlow" - }, - { - "kind": "module", - "id": "Semantics.NIICore.SemanticStateMorphism", - "name": "SemanticStateMorphism", - "path": "Semantics/NIICore/SemanticStateMorphism.lean", - "namespace": "Semantics.NIICore.SemanticStateMorphism", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team SemanticStateMorphism.lean \u2014 Semantic State Morphism State Machine This module implements the SemanticStateMorphism state machine for core mode transitions. 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Authors: Research Stack Team NIICore Surface Driver - Mathematically Defendable NII Core Driver Improvement Formalization of surface driver for NII cores based on first principles from Canonical Core v1 architecture: Layer 6: Ste", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 16, - "struct_count": 8, - "inductive_count": 1, - "line_count": 340 - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.SurfaceDriver.sssConstantBounded", - "name": "sssConstantBounded", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.SurfaceDriver.effectiveVelocityBounded", - "name": "effectiveVelocityBounded", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.SurfaceDriver.warpMetricNonNegative", - "name": "warpMetricNonNegative", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.SurfaceDriver.slipThresholdMonotonic", - "name": "slipThresholdMonotonic", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.computeSSS", - "name": "computeSSS", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.isSlipThresholdCrossed", - "name": "isSlipThresholdCrossed", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.computeWarp", - "name": "computeWarp", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.computeEffectiveVelocity", - "name": "computeEffectiveVelocity", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.computeWarpMetric", - "name": "computeWarpMetric", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.computeFAMMLoad", - "name": "computeFAMMLoad", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.makeScheduleDecision", - "name": "makeScheduleDecision", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.adaptTopology", - "name": "adaptTopology", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.initSurfaceDriver", - "name": "initSurfaceDriver", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.executeWorkItem", - "name": "executeWorkItem", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.exampleSSSConstant", - "name": "exampleSSSConstant", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.exampleSlipCondition", - "name": "exampleSlipCondition", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.exampleWarpFunction", - "name": "exampleWarpFunction", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.exampleEffectiveVelocity", - "name": "exampleEffectiveVelocity", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.exampleWarpMetric", - "name": "exampleWarpMetric", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "def", - "id": "Semantics.NIICore.SurfaceDriver.exampleSurfaceDriver", - "name": "exampleSurfaceDriver", - "module": "Semantics.NIICore.SurfaceDriver" - }, - { - "kind": "module", - "id": "Semantics.NIICore.TranslationEngine", - "name": "TranslationEngine", - "path": "Semantics/NIICore/TranslationEngine.lean", - "namespace": "Semantics.NIICore.TranslationEngine", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team TranslationEngineCore.lean - NII-02 Rust \u2192 Lean Translation Automated translation from Rust syntax to Lean 4: Enum \u2192 Inductive type Function \u2192 Lean function with pattern matching Type mappings (u8 \u2192 UI", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 9, - "struct_count": 6, - "inductive_count": 1, - "line_count": 285 - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.TranslationEngine.primitiveTypesMapped", - "name": "primitiveTypesMapped", - "module": "Semantics.NIICore.TranslationEngine" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.TranslationEngine.unknownTypesMarked", - "name": "unknownTypesMarked", - "module": "Semantics.NIICore.TranslationEngine" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.TranslationEngine.geometricScoreBounded", - "name": "geometricScoreBounded", - "module": "Semantics.NIICore.TranslationEngine" - }, - { - "kind": "def", - "id": "Semantics.NIICore.TranslationEngine.primitiveMappings", - "name": "primitiveMappings", - "module": "Semantics.NIICore.TranslationEngine" - }, - { - "kind": "def", - "id": "Semantics.NIICore.TranslationEngine.translateType", - "name": "translateType", - "module": "Semantics.NIICore.TranslationEngine" - }, - { - "kind": "def", - "id": "Semantics.NIICore.TranslationEngine.translateVariant", - "name": "translateVariant", - "module": "Semantics.NIICore.TranslationEngine" - }, - { - "kind": "def", - "id": "Semantics.NIICore.TranslationEngine.translateEnum", - "name": "translateEnum", - "module": "Semantics.NIICore.TranslationEngine" - }, - { - "kind": "def", - "id": "Semantics.NIICore.TranslationEngine.translateMatchArm", - "name": "translateMatchArm", - "module": "Semantics.NIICore.TranslationEngine" - }, - { - "kind": "def", - "id": "Semantics.NIICore.TranslationEngine.translateDecoder", - "name": "translateDecoder", - "module": "Semantics.NIICore.TranslationEngine" - }, - { - "kind": "def", - "id": "Semantics.NIICore.TranslationEngine.exampleInductiveConstructor", - "name": "exampleInductiveConstructor", - "module": "Semantics.NIICore.TranslationEngine" - }, - { - "kind": "def", - "id": "Semantics.NIICore.TranslationEngine.exampleInductiveType", - "name": "exampleInductiveType", - "module": "Semantics.NIICore.TranslationEngine" - }, - { - "kind": "def", - "id": "Semantics.NIICore.TranslationEngine.exampleLeanFunction", - "name": "exampleLeanFunction", - "module": "Semantics.NIICore.TranslationEngine" - }, - { - "kind": "module", - "id": "Semantics.NIICore.UncertaintyMetaPredictiveDifferential", - "name": "UncertaintyMetaPredictiveDifferential", - "path": "Semantics/NIICore/UncertaintyMetaPredictiveDifferential.lean", - "namespace": "Semantics.NIICore.UncertaintyMetaPredictiveDifferential", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 2, - "inductive_count": 0, - "line_count": 74 - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyMetaPredictiveDifferential.zero", - "name": "zero", - "module": "Semantics.NIICore.UncertaintyMetaPredictiveDifferential" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyMetaPredictiveDifferential.one", - "name": "one", - "module": "Semantics.NIICore.UncertaintyMetaPredictiveDifferential" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyMetaPredictiveDifferential.ofNat", - "name": "ofNat", - "module": "Semantics.NIICore.UncertaintyMetaPredictiveDifferential" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyMetaPredictiveDifferential.abs", - "name": "abs", - "module": "Semantics.NIICore.UncertaintyMetaPredictiveDifferential" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyMetaPredictiveDifferential.executeHybridActionLogic", - "name": "executeHybridActionLogic", - "module": "Semantics.NIICore.UncertaintyMetaPredictiveDifferential" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyMetaPredictiveDifferential.runHybridTest", - "name": "runHybridTest", - "module": "Semantics.NIICore.UncertaintyMetaPredictiveDifferential" - }, - { - "kind": "module", - "id": "Semantics.NIICore.UncertaintyQuantification", - "name": "UncertaintyQuantification", - "path": "Semantics/NIICore/UncertaintyQuantification.lean", - "namespace": "Semantics.NIICore.UncertaintyQuantification", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team UncertaintyQuantification.lean \u2014 Uncertainty Quantification for Morphing Decisions This module implements uncertainty quantification for morphing decisions, inspired by AMB-DSGDN's differential attenti", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 17, - "struct_count": 4, - "inductive_count": 3, - "line_count": 306 - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.UncertaintyQuantification.uncertaintyEstimateSamplesIncrease", - "name": "uncertaintyEstimateSamplesIncrease", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.UncertaintyQuantification.uncertaintyEstimateConfidenceNonDecreasing", - "name": "uncertaintyEstimateConfidenceNonDecreasing", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.UncertaintyQuantification.uncertaintyAwareControllerPreservesCoreId", - "name": "uncertaintyAwareControllerPreservesCoreId", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.UncertaintyQuantification.differentialAttentionDiffIsDifference", - "name": "differentialAttentionDiffIsDifference", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.zero", - "name": "zero", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.one", - "name": "one", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.ofNat", - "name": "ofNat", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.initial", - "name": "initial", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.updateSample", - "name": "updateSample", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.standardDeviation", - "name": "standardDeviation", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.isReliable", - "name": "isReliable", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.getUncertainty", - "name": "getUncertainty", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.isReliableDecision", - "name": "isReliableDecision", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.create", - "name": "create", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.evaluateMorphing", - "name": "evaluateMorphing", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.updateUncertainty", - "name": "updateUncertainty", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.executeDecision", - "name": "executeDecision", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.compute", - "name": "compute", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.isSignificantChange", - "name": "isSignificantChange", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.uncertaintyAdjustedDiff", - "name": "uncertaintyAdjustedDiff", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.UncertaintyQuantification.testUncertaintyQuantification", - "name": "testUncertaintyQuantification", - "module": "Semantics.NIICore.UncertaintyQuantification" - }, - { - "kind": "module", - "id": "Semantics.NIICore.Verification", - "name": "Verification", - "path": "Semantics/NIICore/Verification.lean", - "namespace": "Semantics.NIICore.Verification", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team VerificationCore.lean - NII-03 Proof Generation Automated proof generation and verification: Total function proofs Type safety verification Invariant preservation FFI boundary soundness Integrated wit", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 9, - "struct_count": 4, - "inductive_count": 1, - "line_count": 267 - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.Verification.provedNotExceedTotal", - "name": "provedNotExceedTotal", - "module": "Semantics.NIICore.Verification" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.Verification.fullCoverageAllProved", - "name": "fullCoverageAllProved", - "module": "Semantics.NIICore.Verification" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.Verification.emptyReportFullCoverage", - "name": "emptyReportFullCoverage", - "module": "Semantics.NIICore.Verification" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.Verification.geometricScoreBounded", - "name": "geometricScoreBounded", - "module": "Semantics.NIICore.Verification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.Verification.generateTotalObligation", - "name": "generateTotalObligation", - "module": "Semantics.NIICore.Verification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.Verification.generateInverseObligation", - "name": "generateInverseObligation", - "module": "Semantics.NIICore.Verification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.Verification.countProved", - "name": "countProved", - "module": "Semantics.NIICore.Verification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.Verification.verificationCoverage", - "name": "verificationCoverage", - "module": "Semantics.NIICore.Verification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.Verification.verifyTranslationUnit", - "name": "verifyTranslationUnit", - "module": "Semantics.NIICore.Verification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.Verification.exampleObligation", - "name": "exampleObligation", - "module": "Semantics.NIICore.Verification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.Verification.exampleFunctionVerification", - "name": "exampleFunctionVerification", - "module": "Semantics.NIICore.Verification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.Verification.exampleFFIVerification", - "name": "exampleFFIVerification", - "module": "Semantics.NIICore.Verification" - }, - { - "kind": "def", - "id": "Semantics.NIICore.Verification.exampleVerificationReport", - "name": "exampleVerificationReport", - "module": "Semantics.NIICore.Verification" - }, - { - "kind": "module", - "id": "Semantics.NIICore", - "name": "NIICore", - "path": "Semantics/NIICore.lean", - "namespace": "Semantics.NIICore", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team NIICore.lean - Non-Isotropic Informatic Core Foundation Foundation module defining the NII core abstractions for the Lean Domain Expert Swarm. Implements the orchestration layer for semantic analysis, ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 7, - "struct_count": 3, - "inductive_count": 2, - "line_count": 168 - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.capableCoreCanProcess", - "name": "capableCoreCanProcess", - "module": "Semantics.NIICore" - }, - { - "kind": "theorem", - "id": "Semantics.NIICore.geometricEfficiencyBounded", - "name": "geometricEfficiencyBounded", - "module": "Semantics.NIICore" - }, - { - "kind": "def", - "id": "Semantics.NIICore.CoreRegistry", - "name": "CoreRegistry", - "module": "Semantics.NIICore" - }, - { - "kind": "def", - "id": "Semantics.NIICore.findCapable", - "name": "findCapable", - "module": "Semantics.NIICore" - }, - { - "kind": "def", - "id": "Semantics.NIICore.registryCapacity", - "name": "registryCapacity", - "module": "Semantics.NIICore" - }, - { - "kind": "def", - "id": "Semantics.NIICore.deriveNIITiming", - "name": "deriveNIITiming", - "module": "Semantics.NIICore" - }, - { - "kind": "def", - "id": "Semantics.NIICore.analyzeNIICores", - "name": "analyzeNIICores", - "module": "Semantics.NIICore" - }, - { - "kind": "def", - "id": "Semantics.NIICore.exampleWorkItem", - "name": "exampleWorkItem", - "module": "Semantics.NIICore" - }, - { - "kind": "def", - "id": "Semantics.NIICore.exampleCapability", - "name": "exampleCapability", - "module": "Semantics.NIICore" - }, - { - "kind": "module", - "id": "Semantics.NKHodgeFAMM", - "name": "NKHodgeFAMM", - "path": "Semantics/NKHodgeFAMM.lean", - "namespace": "Semantics.NKHodgeFAMM", - "doc": "NKHodgeFAMM.lean \u2014 NK-Hodge-FAMM Regularity Axiom Topological obstruction theory bridging NK coupling, Cole-Hopf transform, FAMM scar density, and Navier-Stokes regularity. The central axiom states that if the scar support (where Fisher information \u03bc exceeds a threshold) has no enclosed \u03b2\u2082 voids (", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 9, - "def_count": 2, - "struct_count": 1, - "inductive_count": 0, - "line_count": 319 - }, - { - "kind": "theorem", - "id": "Semantics.NKHodgeFAMM.velocity_bounded_from_topology", - "name": "velocity_bounded_from_topology", - "module": "Semantics.NKHodgeFAMM" - }, - { - "kind": "theorem", - "id": "Semantics.NKHodgeFAMM.scar_dissipation_regime", - "name": "scar_dissipation_regime", - "module": "Semantics.NKHodgeFAMM" - }, - { - "kind": "theorem", - "id": "Semantics.NKHodgeFAMM.cole_hopf_identity", - "name": "cole_hopf_identity", - "module": "Semantics.NKHodgeFAMM" - }, - { - "kind": "theorem", - "id": "Semantics.NKHodgeFAMM.\u03bd_eff_ge_\u03bd\u2080", - "name": "\u03bd_eff_ge_\u03bd\u2080", - "module": "Semantics.NKHodgeFAMM" - }, - { - "kind": "theorem", - "id": "Semantics.NKHodgeFAMM.dq_energy_satisfies_scar_condition", - "name": "dq_energy_satisfies_scar_condition", - "module": "Semantics.NKHodgeFAMM" - }, - { - "kind": "theorem", - "id": "Semantics.NKHodgeFAMM.burgers_embedding_satisfies_nk_hodge_famm", - "name": "burgers_embedding_satisfies_nk_hodge_famm", - "module": "Semantics.NKHodgeFAMM" - }, - { - "kind": "theorem", - "id": "Semantics.NKHodgeFAMM.\u03bd_eff_from_dq_energy", - "name": "\u03bd_eff_from_dq_energy", - "module": "Semantics.NKHodgeFAMM" - }, - { - "kind": "theorem", - "id": "Semantics.NKHodgeFAMM.scarDensityFromDQ_nonneg", - "name": "scarDensityFromDQ_nonneg", - "module": "Semantics.NKHodgeFAMM" - }, - { - "kind": "theorem", - "id": "Semantics.NKHodgeFAMM.burgers_energy_bounded_if_beta2_zero", - "name": "burgers_energy_bounded_if_beta2_zero", - "module": "Semantics.NKHodgeFAMM" - }, - { - "kind": "def", - "id": "Semantics.NKHodgeFAMM.scarSupport", - "name": "scarSupport", - "module": "Semantics.NKHodgeFAMM" - }, - { - "kind": "def", - "id": "Semantics.NKHodgeFAMM.nkBaseline", - "name": "nkBaseline", - "module": "Semantics.NKHodgeFAMM" - }, - { - "kind": "module", - "id": "Semantics.NNonEuclideanGeometry", - "name": "NNonEuclideanGeometry", - "path": "Semantics/NNonEuclideanGeometry.lean", - "namespace": "Semantics.NNonEuclideanGeometry", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team NNonEuclideanGeometry.lean \u2014 N-Dimensional Non-Euclidean Geometry Extension Extends NonEuclideanGeometry from 3D to n-dimensional geometry for parallel transport writhe and path validation in higher di", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 16, - "struct_count": 1, - "inductive_count": 1, - "line_count": 223 - }, - { - "kind": "theorem", - "id": "Semantics.NNonEuclideanGeometry.phiWeightsBounded", - "name": "phiWeightsBounded", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "theorem", - "id": "Semantics.NNonEuclideanGeometry.phiWeightedDistanceSymmetric", - "name": "phiWeightedDistanceSymmetric", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "theorem", - "id": "Semantics.NNonEuclideanGeometry.straightLineWritheZero", - "name": "straightLineWritheZero", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.phi", - "name": "phi", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.cosQtrPi", - "name": "cosQtrPi", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.half", - "name": "half", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.dOblique", - "name": "dOblique", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.fromArray", - "name": "fromArray", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.getCoord", - "name": "getCoord", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.euclideanDistance", - "name": "euclideanDistance", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.obliqueProjectND", - "name": "obliqueProjectND", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.parallelTransportWritheND", - "name": "parallelTransportWritheND", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.phiWeightsND", - "name": "phiWeightsND", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.phiWeightedDistSqND", - "name": "phiWeightedDistSqND", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.maxJumpThreshold", - "name": "maxJumpThreshold", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.maxWrithe", - "name": "maxWrithe", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.validatePathND", - "name": "validatePathND", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.phiWeightedDistSymmetric", - "name": "phiWeightedDistSymmetric", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "def", - "id": "Semantics.NNonEuclideanGeometry.straightLineWritheZeroND", - "name": "straightLineWritheZeroND", - "module": "Semantics.NNonEuclideanGeometry" - }, - { - "kind": "module", - "id": "Semantics.NS_MD", - "name": "NS_MD", - "path": "Semantics/NS_MD.lean", - "namespace": "Semantics.NS_MD", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team NS_MD.lean \u2014 Nibble-Switched Manifold Delta Semantics This module formalizes the NS-M\u0394 encoding mechanism. 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All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. 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Concept vectors are 14D arrays of Q16.16. PHI = golden ratio \u2248 1.6180 = 106039 in Q16.16. 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Authors: Research Stack Team OTOMOntology.lean \u2014 Formal Organization of All Work Under OTOM Label This module establishes OTOM (Ordered Transformation & Orchestration Model) as the unifying label for all Research Stack work. 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It formalizes the implicit contract currently spread across: * `6-Documentation/reports/typst/omindirection.typ` * `6-Documentation/tiddlywiki-local/wiki/tiddlers/Typst Omindirection", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 12, - "def_count": 21, - "struct_count": 3, - "inductive_count": 5, - "line_count": 325 - }, - { - "kind": "theorem", - "id": "Semantics.Omindirection.chirality_prefixes_match_typst_surface", - "name": "chirality_prefixes_match_typst_surface", - "module": "Semantics.Omindirection" - }, - { - "kind": "theorem", - "id": "Semantics.Omindirection.row_witness_atom_admissible", - "name": "row_witness_atom_admissible", - "module": "Semantics.Omindirection" - }, - { - "kind": "theorem", - "id": "Semantics.Omindirection.auto_direction_atom_not_admissible", - "name": "auto_direction_atom_not_admissible", - "module": "Semantics.Omindirection" - }, - { - "kind": "theorem", - "id": "Semantics.Omindirection.unreceipted_atom_not_admissible", - "name": "unreceipted_atom_not_admissible", - 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Authors: Research Stack Team OmnidirectionalInterface.lean \u2014 Unified Query Router in Lean Central coordinator that routes queries to appropriate swarm subsystems. 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}, - { - "kind": "def", - "id": "Semantics.OrthogonalAmmr.leafSummary", - "name": "leafSummary", - "module": "Semantics.OrthogonalAmmr" - }, - { - "kind": "def", - "id": "Semantics.OrthogonalAmmr.leafNode", - "name": "leafNode", - "module": "Semantics.OrthogonalAmmr" - }, - { - "kind": "module", - "id": "Semantics.PBACSSignal", - "name": "PBACSSignal", - "path": "Semantics/PBACSSignal.lean", - "namespace": "Semantics.PBACSSignal", - "doc": "Neutralized Specification. 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}, - { - "kind": "theorem", - "id": "Semantics.PIST.Motif.motifScore_zero_freq_base", - "name": "motifScore_zero_freq_base", - "module": "Semantics.PIST.Motif" - }, - { - "kind": "theorem", - "id": "Semantics.PIST.Motif.motifScore_zero_freq_no_match", - "name": "motifScore_zero_freq_no_match", - "module": "Semantics.PIST.Motif" - }, - { - "kind": "theorem", - "id": "Semantics.PIST.Motif.motifScore_zero_freq_match_witness", - "name": "motifScore_zero_freq_match_witness", - "module": "Semantics.PIST.Motif" - }, - { - "kind": "theorem", - "id": "Semantics.PIST.Motif.rankMotifs_match_beats_no_match", - "name": "rankMotifs_match_beats_no_match", - "module": "Semantics.PIST.Motif" - }, - { - "kind": "def", - "id": "Semantics.PIST.Motif.familyMatchBonus", - "name": "familyMatchBonus", - "module": "Semantics.PIST.Motif" - }, - { - "kind": "def", - "id": "Semantics.PIST.Motif.baseScore", - "name": "baseScore", - "module": "Semantics.PIST.Motif" - }, - { - "kind": "def", - "id": "Semantics.PIST.Motif.motifScore", - 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}, - { - "kind": "def", - "id": "Semantics.PIST.Spectral.isqrt", - "name": "isqrt", - "module": "Semantics.PIST.Spectral" - }, - { - "kind": "def", - "id": "Semantics.PIST.Spectral.getEntry", - "name": "getEntry", - "module": "Semantics.PIST.Spectral" - }, - { - "kind": "def", - "id": "Semantics.PIST.Spectral.rowSum", - "name": "rowSum", - "module": "Semantics.PIST.Spectral" - }, - { - "kind": "def", - "id": "Semantics.PIST.Spectral.symmetrize", - "name": "symmetrize", - "module": "Semantics.PIST.Spectral" - }, - { - "kind": "def", - "id": "Semantics.PIST.Spectral.buildLaplacian", - "name": "buildLaplacian", - "module": "Semantics.PIST.Spectral" - }, - { - "kind": "def", - "id": "Semantics.PIST.Spectral.buildATA", - "name": "buildATA", - "module": "Semantics.PIST.Spectral" - }, - { - "kind": "def", - "id": "Semantics.PIST.Spectral.normSqRaw", - "name": "normSqRaw", - "module": "Semantics.PIST.Spectral" - }, - { - "kind": "def", - "id": "Semantics.PIST.Spectral.matVecMul", - "name": "matVecMul", - 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Core insight: Just as \u03c0 = 3.8415926 - 0.7 uses each digit once, eigenvectors and mass triples can be encoded with minimal unique components and reconstructed via simple operations. Three compress", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 17, - "struct_count": 5, - "inductive_count": 3, - "line_count": 282 - }, - { - "kind": "theorem", - "id": "Semantics.PandigitalSpectralMass.znRoundTrip", - "name": "znRoundTrip", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.cfConvergentToQ16", - "name": "cfConvergentToQ16", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.phiConvergents", - "name": "phiConvergents", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.piConvergents", - "name": "piConvergents", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.selectConvergent", - "name": "selectConvergent", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.encodeZNCompact", - "name": "encodeZNCompact", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.decodeZNCompact", - "name": "decodeZNCompact", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.deriveAFromCompact", - "name": "deriveAFromCompact", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.deriveBiasFromCompact", - "name": "deriveBiasFromCompact", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.reconstructComponent", - "name": "reconstructComponent", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.reconstructEigenvectorComponent", - "name": "reconstructEigenvectorComponent", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.fromFullComponents", - "name": "fromFullComponents", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.reconstructShellAddress", - "name": "reconstructShellAddress", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.deriveMassPhase", - "name": "deriveMassPhase", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.exampleCompact400k", - "name": "exampleCompact400k", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.exampleCompactSmall", - "name": "exampleCompactSmall", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.examplePiComponent", - "name": "examplePiComponent", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "def", - "id": "Semantics.PandigitalSpectralMass.examplePhiWeightedComponent", - "name": "examplePhiWeightedComponent", - "module": "Semantics.PandigitalSpectralMass" - }, - { - "kind": "module", - "id": "Semantics.ParameterSensitivity", - "name": "ParameterSensitivity", - "path": "Semantics/ParameterSensitivity.lean", - "namespace": "Semantics.ParameterSensitivity", - "doc": "ParameterSensitivity.lean -- Sensitivity of Predictions to z = 7/27 This module computes how much each prediction changes when the core parameter z = 7/27 is perturbed by the look-elsewhere width (the distance to the nearest competitive fraction, 13/50 = 0.26). 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}, - { - "kind": "def", - "id": "Semantics.ParameterSensitivity.sigmaP04", - "name": "sigmaP04", - "module": "Semantics.ParameterSensitivity" - }, - { - "kind": "def", - "id": "Semantics.ParameterSensitivity.sigmaP05", - "name": "sigmaP05", - "module": "Semantics.ParameterSensitivity" - }, - { - "kind": "def", - "id": "Semantics.ParameterSensitivity.sigmaP06", - "name": "sigmaP06", - "module": "Semantics.ParameterSensitivity" - }, - { - "kind": "module", - "id": "Semantics.PassiveComputation", - "name": "PassiveComputation", - "path": "Semantics/PassiveComputation.lean", - "namespace": "Semantics.PassiveComputation", - "doc": "PassiveComputation.lean \u2014 Passive Computation Formalization This module formalizes passive computation: computation performed by the lawful movement, routing, delay, collision, transformation, and boundary-crossing of packets through a structured medium. 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Domain-agnostic control runtime with hysteretic gate, projection family, and stable convex update law. 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Key mappings (from arXiv:hep-ph/2505.xxxxx, ScienceDaily 2026-05-26): \u2022", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 19, - "struct_count": 7, - "inductive_count": 0, - "line_count": 357 - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.zero", - "name": "zero", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.normSq", - "name": "normSq", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.computeObservable", - "name": "computeObservable", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.smPrediction", - "name": "smPrediction", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.deltaC9_anomaly", - "name": "deltaC9_anomaly", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.c9Effective", - "name": "c9Effective", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.rgeEvolve", - "name": "rgeEvolve", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.detectAnomaly", - "name": "detectAnomaly", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.isBasinEscape", - "name": "isBasinEscape", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.extractBSMScale", - "name": "extractBSMScale", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.defaultSMLUT", - "name": "defaultSMLUT", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.smToLadderPacket", - "name": "smToLadderPacket", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.flavorLadder", - "name": "flavorLadder", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.penguinRGFlow", - "name": "penguinRGFlow", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.penguinSpectralProfile", - "name": "penguinSpectralProfile", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.wc_anomalous", - "name": "wc_anomalous", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.testAnomaly", - "name": "testAnomaly", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "def", - "id": "Semantics.PenguinDecayLUT.b_quark", - "name": "b_quark", - "module": "Semantics.PenguinDecayLUT" - }, - { - "kind": "module", - "id": "Semantics.PeptideMoE", - "name": "PeptideMoE", - "path": "Semantics/PeptideMoE.lean", - "namespace": "PeptideMoE", - "doc": "PeptideMoE.lean \u2014 Mixture-of-Experts for Peptide Conformational Analysis This module formalizes a Mixture-of-Experts (MoE) system for peptide conformational state analysis, incorporating thermodynamic parameters, admissibility constraints, and expert coordination. 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All values are precomputed Q16_16 integers (scale = 65536) for dimensionless fractions; dimensional quantities (H\u2080, r_d) are raw Int with documented units. Zero Float arit", - "math_kind": "fixedpoint", - "sorry_count": 1, - "theorem_count": 6, - "def_count": 21, - "struct_count": 2, - "inductive_count": 0, - "line_count": 233 - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIInvariant.for", - "name": "for", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIInvariant.w0AboveLcdm", - "name": "w0AboveLcdm", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIInvariant.waBelowLcdm", - "name": "waBelowLcdm", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIInvariant.w0Dr1Dr2Consistent", - "name": "w0Dr1Dr2Consistent", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIInvariant.waDr1Dr2Consistent", - "name": "waDr1Dr2Consistent", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIInvariant.omegaMDr1Dr2Consistent", - "name": "omegaMDr1Dr2Consistent", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.rdDr1", - "name": "rdDr1", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.rdDr2", - "name": "rdDr2", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.rdDr2Sigma", - "name": "rdDr2Sigma", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.w0Dr1", - "name": "w0Dr1", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.w0Dr2", - "name": "w0Dr2", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.w0Dr2Sigma", - "name": "w0Dr2Sigma", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.waDr1", - "name": "waDr1", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.waDr2", - "name": "waDr2", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.waDr2Sigma", - "name": "waDr2Sigma", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.w0Lcdm", - "name": "w0Lcdm", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.waLcdm", - "name": "waLcdm", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.h0Dr1", - "name": "h0Dr1", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.h0Dr2", - "name": "h0Dr2", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.h0Dr2Sigma", - "name": "h0Dr2Sigma", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.omegaMDr1", - "name": "omegaMDr1", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.omegaMDr2", - "name": "omegaMDr2", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.omegaMDr2Sigma", - "name": "omegaMDr2Sigma", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.sigma8Dr2", - "name": "sigma8Dr2", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.sigma8Dr2Sigma", - "name": "sigma8Dr2Sigma", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIInvariant.desiDR1", - "name": "desiDR1", - "module": "Semantics.Physics.DESIInvariant" - }, - { - "kind": "module", - "id": "Semantics.Physics.DESIModelProjection", - "name": "DESIModelProjection", - "path": "Semantics/Physics/DESIModelProjection.lean", - "namespace": "Semantics.Physics.DESIModelProjection", - "doc": "DESIModelProjection.lean \u2014 Model Projection onto DESI Observables Projects a cosmological parameter set (w0, wa, Om, s8) onto the DESI observational invariant set. Computes residuals against DESI DR1/DR2. NOTE: w0 is CALIBRATED to DESI DR1, not predicted. wa, Om, s8 are structural projections that", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 14, - "def_count": 17, - "struct_count": 0, - "inductive_count": 0, - "line_count": 241 - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIModelProjection.mengerDimLessThan3", - "name": "mengerDimLessThan3", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIModelProjection.kochDimLessThanMenger", - "name": "kochDimLessThanMenger", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIModelProjection.mkDivergenceExceeds1", - "name": "mkDivergenceExceeds1", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIModelProjection.hornVolumeBounded", - "name": "hornVolumeBounded", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIModelProjection.hornSurfaceGrows", - "name": "hornSurfaceGrows", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIModelProjection.torsionDrivesBoundary", - "name": "torsionDrivesBoundary", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIModelProjection.modelW0DirectionAligns", - "name": "modelW0DirectionAligns", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIModelProjection.modelWaDirectionAligns", - "name": "modelWaDirectionAligns", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIModelProjection.w0IsCalibratedNotPredicted", - "name": "w0IsCalibratedNotPredicted", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.DESIModelProjection.waResidualWithin1SigmaDr1", - 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}, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.q16Abs", - "name": "q16Abs", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.q16Div", - "name": "q16Div", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.mengerDH", - "name": "mengerDH", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.kochDim", - "name": "kochDim", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.mkDivergenceBase", - "name": "mkDivergenceBase", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.hornVolumeBound", - "name": "hornVolumeBound", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.hornSurfaceGrowthRate", - "name": "hornSurfaceGrowthRate", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.torsionCoupling", - "name": "torsionCoupling", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.predictW0", - "name": "predictW0", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.predictW0Sigma", - "name": "predictW0Sigma", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.predictWa", - "name": "predictWa", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.predictWaSigma", - "name": "predictWaSigma", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.predictOmegaM", - "name": "predictOmegaM", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.predictOmegaMSigma", - "name": "predictOmegaMSigma", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.predictSigma8", - "name": "predictSigma8", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "def", - "id": "Semantics.Physics.DESIModelProjection.predictSigma8Sigma", - "name": "predictSigma8Sigma", - "module": "Semantics.Physics.DESIModelProjection" - }, - { - "kind": "module", - "id": "Semantics.Physics.Examples", - "name": "Examples", - "path": "Semantics/Physics/Examples.lean", - "namespace": "Semantics.Physics", - "doc": "---------------------------------------------------------------------------", - "math_kind": "general", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 8, - "struct_count": 0, - "inductive_count": 0, - "line_count": 88 - }, - { - "kind": "def", - "id": "Semantics.Physics.Examples.exampleElectron", - "name": "exampleElectron", - "module": "Semantics.Physics.Examples" - }, - { - "kind": "def", - "id": "Semantics.Physics.Examples.examplePhoton", - "name": "examplePhoton", - "module": "Semantics.Physics.Examples" - }, - { - "kind": "def", - "id": "Semantics.Physics.Examples.examplePositron", - "name": "examplePositron", - "module": "Semantics.Physics.Examples" - }, - { - "kind": "def", - "id": "Semantics.Physics.Examples.exampleProton", - "name": "exampleProton", - "module": "Semantics.Physics.Examples" - }, - { - "kind": "def", - "id": "Semantics.Physics.Examples.exampleNeutron", - "name": "exampleNeutron", - "module": "Semantics.Physics.Examples" - }, - { - "kind": "def", - "id": "Semantics.Physics.Examples.exampleNeutrino", - "name": "exampleNeutrino", - "module": "Semantics.Physics.Examples" - }, - { - "kind": "def", - "id": "Semantics.Physics.Examples.exampleUpQuark", - "name": "exampleUpQuark", - "module": "Semantics.Physics.Examples" - }, - { - "kind": "def", - "id": "Semantics.Physics.Examples.exampleDownQuark", - "name": "exampleDownQuark", - "module": "Semantics.Physics.Examples" - }, - { - "kind": "module", - "id": "Semantics.Physics.H0ValveTest", - "name": "H0ValveTest", - "path": "Semantics/Physics/H0ValveTest.lean", - "namespace": "Semantics.Physics.H0ValveTest", - "doc": "H0ValveTest.lean", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 8, - "struct_count": 0, - "inductive_count": 0, - "line_count": 54 - }, - { - "kind": "theorem", - "id": "Semantics.Physics.H0ValveTest.modelConsistentWithPlanck", - "name": "modelConsistentWithPlanck", - "module": "Semantics.Physics.H0ValveTest" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.H0ValveTest.modelConsistentWithDesi", - "name": "modelConsistentWithDesi", - "module": "Semantics.Physics.H0ValveTest" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.H0ValveTest.modelInconsistentWithSh0es", - "name": "modelInconsistentWithSh0es", - 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This list can be extended as the framework grows.", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 1, - "struct_count": 1, - "inductive_count": 0, - "line_count": 31 - }, - { - "kind": "def", - "id": "Semantics.Physics.Interaction.coreConservedQuantities", - "name": "coreConservedQuantities", - "module": "Semantics.Physics.Interaction" - }, - { - "kind": "module", - "id": "Semantics.Physics.NBody", - "name": "NBody", - "path": "Semantics/Physics/NBody.lean", - "namespace": "Semantics.Physics.NBody", - "doc": "NBody.lean - N-Space Manifold Multi-Body Physics Fixed-point Hamiltonian dynamics with thermodynamic cost tracking. Symplectic integrator preserving Liouville theorem. Integrates with Wormhole.lean for rare transition shortcuts. Author: Sovereign Stack Research Date: 2026-04-18 License: Research-O", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 13, - "def_count": 83, - "struct_count": 15, - "inductive_count": 3, - "line_count": 1420 - }, - { - "kind": "theorem", - "id": "Semantics.Physics.NBody.hamiltonian_total", - "name": "hamiltonian_total", - "module": "Semantics.Physics.NBody" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.NBody.kepler_particle_count", - "name": "kepler_particle_count", - "module": "Semantics.Physics.NBody" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.NBody.kepler_particle_conservation", - "name": "kepler_particle_conservation", - "module": "Semantics.Physics.NBody" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.NBody.nuvMapAssignmentsBounded", - "name": "nuvMapAssignmentsBounded", - "module": "Semantics.Physics.NBody" - }, - { - "kind": "theorem", - "id": "Semantics.Physics.NBody.repeatChainsMinOccurrences_empty", - "name": "repeatChainsMinOccurrences_empty", - 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Wavelengths in nm stored as Q16.16 (1.0 = 1 nm). Energies in eV stored as Q16.16 (1.0 = 1 eV). 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"def_count": 4, - "struct_count": 2, - "inductive_count": 0, - "line_count": 63 - }, - { - "kind": "def", - "id": "Semantics.PostQuantumEscrow.defaultEscrowRules", - "name": "defaultEscrowRules", - "module": "Semantics.PostQuantumEscrow" - }, - { - "kind": "def", - "id": "Semantics.PostQuantumEscrow.createAngrySphinxEscrowCapsule", - "name": "createAngrySphinxEscrowCapsule", - "module": "Semantics.PostQuantumEscrow" - }, - { - "kind": "def", - "id": "Semantics.PostQuantumEscrow.escrowReleaseLaw", - "name": "escrowReleaseLaw", - "module": "Semantics.PostQuantumEscrow" - }, - { - "kind": "def", - "id": "Semantics.PostQuantumEscrow.checkEscrowCompliance", - "name": "checkEscrowCompliance", - "module": "Semantics.PostQuantumEscrow" - }, - { - "kind": "module", - "id": "Semantics.PrimeLut", - "name": "PrimeLut", - "path": "Semantics/PrimeLut.lean", - "namespace": "Semantics.PrimeLut", - "doc": "Generated from: https://data.kennethjorgensen.com/primes/primes.html This module provides a constant-time lookup table for prime numbers used in the research stack for: Shell geometry calculations Resonance frequency selection Cryptographic parameter generation Hash table sizing Per AGENTS.md \u00a71.4", - "math_kind": "number_theory", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 11, - "struct_count": 1, - "inductive_count": 0, - "line_count": 125 - }, - { - "kind": "def", - "id": "Semantics.PrimeLut.arrayGet", - "name": "arrayGet", - "module": "Semantics.PrimeLut" - }, - { - "kind": "def", - "id": "Semantics.PrimeLut.firstPrimes", - "name": "firstPrimes", - "module": "Semantics.PrimeLut" - }, - { - "kind": "def", - "id": "Semantics.PrimeLut.primeAt", - "name": "primeAt", - "module": "Semantics.PrimeLut" - }, - { - "kind": "def", - "id": "Semantics.PrimeLut.nthPrime", - "name": "nthPrime", - "module": "Semantics.PrimeLut" - }, - { - "kind": "def", - "id": "Semantics.PrimeLut.isPrimeInLut", - "name": "isPrimeInLut", - "module": "Semantics.PrimeLut" - }, - { - "kind": "def", - "id": "Semantics.PrimeLut.primeFloor", - "name": "primeFloor", - "module": "Semantics.PrimeLut" - }, - { - "kind": "def", - "id": "Semantics.PrimeLut.shellPrimes", - "name": "shellPrimes", - "module": "Semantics.PrimeLut" - }, - { - "kind": "def", - "id": "Semantics.PrimeLut.shellPrime", - "name": "shellPrime", - "module": "Semantics.PrimeLut" - }, - { - "kind": "def", - "id": "Semantics.PrimeLut.twinPrimes", - "name": "twinPrimes", - "module": "Semantics.PrimeLut" - }, - { - "kind": "def", - "id": "Semantics.PrimeLut.safePrimes", - "name": "safePrimes", - "module": "Semantics.PrimeLut" - }, - { - "kind": "def", - "id": "Semantics.PrimeLut.safePrimeAt", - "name": "safePrimeAt", - "module": "Semantics.PrimeLut" - }, - { - "kind": "module", - "id": "Semantics.PrimitiveMatrix", - "name": "PrimitiveMatrix", - "path": "Semantics/PrimitiveMatrix.lean", - "namespace": "Semantics.PrimitiveMatrix", - "doc": "PrimitiveMatrix.lean \u2014 Division-Free Matrix Inversion via Common Denominator Instead of computing adj(A)/det(A) in Q16_16 (which truncates), we keep adjugate entries as raw integers with a common denominator det(A). All intermediate arithmetic is exact integer computation. The single final division", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 10, - "struct_count": 1, - "inductive_count": 0, - "line_count": 96 - }, - { - "kind": "theorem", - "id": "Semantics.PrimitiveMatrix.prim_adj_identity_exact", - "name": "prim_adj_identity_exact", - "module": "Semantics.PrimitiveMatrix" - }, - { - "kind": "def", - "id": "Semantics.PrimitiveMatrix.PrimEntry", - "name": "PrimEntry", - "module": "Semantics.PrimitiveMatrix" - }, - { - "kind": "def", - "id": "Semantics.PrimitiveMatrix.demo_exact", - "name": "demo_exact", - "module": "Semantics.PrimitiveMatrix" - }, - { - "kind": "def", - "id": "Semantics.PrimitiveMatrix.demo_q16_lossy", - "name": "demo_q16_lossy", - "module": "Semantics.PrimitiveMatrix" - }, - { - "kind": "module", - "id": "Semantics.ProductSidon", - "name": "ProductSidon", - "path": "Semantics/ProductSidon.lean", - "namespace": "Semantics.ProductSidon", - "doc": "## The Equation Stripping away all social-network semantics from the atproto architecture, the central claim reduces to one equation: **If `\u03b1(x\u2081) + \u03b2(y\u2081) = \u03b1(x\u2082) + \u03b2(y\u2082)` then `x\u2081 = x\u2082` and `y\u2081 = y\u2082`.** This is exactly the injectivity condition on the joint encoding `f(x,y) = \u03b1(x) + \u03b2(y)`. ## Si", - "math_kind": "number_theory", - "sorry_count": 0, - "theorem_count": 7, - "def_count": 2, - "struct_count": 0, - "inductive_count": 0, - "line_count": 191 - }, - { - "kind": "theorem", - "id": "Semantics.ProductSidon.product_sidon_injective", - "name": "product_sidon_injective", - "module": "Semantics.ProductSidon" - }, - { - "kind": "theorem", - "id": "Semantics.ProductSidon.is_product_sidon_iff_cross_diff_disjoint", - "name": "is_product_sidon_iff_cross_diff_disjoint", - "module": "Semantics.ProductSidon" - }, - { - "kind": "theorem", - "id": "Semantics.ProductSidon.sidon_partition_implies_product_sidon", - "name": "sidon_partition_implies_product_sidon", - "module": "Semantics.ProductSidon" - }, - { - "kind": "theorem", - "id": "Semantics.ProductSidon.atmosphere_sidon_principle", - "name": "atmosphere_sidon_principle", - "module": "Semantics.ProductSidon" - }, - { - "kind": "theorem", - "id": "Semantics.ProductSidon.atmosphere_host_eq", - "name": "atmosphere_host_eq", - "module": "Semantics.ProductSidon" - }, - { - "kind": "theorem", - "id": "Semantics.ProductSidon.atmosphere_app_eq", - "name": "atmosphere_app_eq", - "module": "Semantics.ProductSidon" - }, - { - "kind": "theorem", - "id": "Semantics.ProductSidon.is_product_sidon_symm", - "name": "is_product_sidon_symm", - "module": "Semantics.ProductSidon" - }, - { - "kind": "def", - "id": "Semantics.ProductSidon.IsProductSidon", - "name": "IsProductSidon", - "module": "Semantics.ProductSidon" - }, - { - "kind": "def", - "id": "Semantics.ProductSidon.CrossDiffDisjoint", - "name": "CrossDiffDisjoint", - "module": "Semantics.ProductSidon" - }, - { - "kind": "mathlib", - "id": "Mathlib.Data.Int.Defs", - "name": "Mathlib.Data.Int.Defs" - }, - { - "kind": "module", - "id": "Semantics.Prohibited", - "name": "Prohibited", - "path": "Semantics/Prohibited.lean", - "namespace": "Semantics.ENE", - "doc": "# Prohibitions: What is NOT allowed in the ENE model This module defines the negative space of the semantic universe: every structure, transition, and collapse that violates the constitutional membrane is explicitly ruled out.", - "math_kind": "rrc", - "sorry_count": 0, - "theorem_count": 10, - "def_count": 30, - "struct_count": 0, - "inductive_count": 0, - "line_count": 302 - }, - { - "kind": "theorem", - "id": "Semantics.Prohibited.no_quarantine_implies_prohibition", - "name": "no_quarantine_implies_prohibition", - "module": "Semantics.Prohibited" - }, - { - "kind": "theorem", - "id": "Semantics.Prohibited.faithfulness_implies_prohibition", - "name": "faithfulness_implies_prohibition", - "module": "Semantics.Prohibited" - }, - { - "kind": "theorem", - "id": "Semantics.Prohibited.lawfulness_implies_prohibition", - "name": "lawfulness_implies_prohibition", - "module": "Semantics.Prohibited" - }, - { - "kind": "theorem", - "id": "Semantics.Prohibited.provenance_implies_prohibition", - "name": "provenance_implies_prohibition", - "module": "Semantics.Prohibited" - }, - { - "kind": "theorem", - "id": "Semantics.Prohibited.universality_projection_implies_prohibition", - "name": "universality_projection_implies_prohibition", - "module": "Semantics.Prohibited" - }, - { - "kind": "theorem", - "id": "Semantics.Prohibited.determinism_implies_prohibition", - "name": "determinism_implies_prohibition", - "module": "Semantics.Prohibited" - }, - { - "kind": "theorem", - "id": "Semantics.Prohibited.core_schema_implies_prohibition", - "name": "core_schema_implies_prohibition", - "module": "Semantics.Prohibited" - }, - { - "kind": "theorem", - "id": "Semantics.Prohibited.evolution_audit_implies_prohibition", - "name": "evolution_audit_implies_prohibition", - "module": "Semantics.Prohibited" - }, - { - "kind": "theorem", - "id": "Semantics.Prohibited.scalar_admissible_implies_ancestry_prohibition", - "name": "scalar_admissible_implies_ancestry_prohibition", - "module": "Semantics.Prohibited" - }, - { - "kind": "theorem", - "id": "Semantics.Prohibited.full_admissibility_implies_prohibition", - "name": "full_admissibility_implies_prohibition", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_EmptyLemma", - "name": "NotAllowed_EmptyLemma", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_UnfaithfulDecomposition", - "name": "NotAllowed_UnfaithfulDecomposition", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_NegativeWeightInNormalForm", - "name": "NotAllowed_NegativeWeightInNormalForm", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_ActiveQuarantine", - "name": "NotAllowed_ActiveQuarantine", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_OrphanObservation", - "name": "NotAllowed_OrphanObservation", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_UncertifiedCapabilityEdge", - "name": "NotAllowed_UncertifiedCapabilityEdge", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_MagicSemanticJump", - "name": "NotAllowed_MagicSemanticJump", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_UnlawfulPath", - "name": "NotAllowed_UnlawfulPath", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_DisconnectedPathComposition", - "name": "NotAllowed_DisconnectedPathComposition", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_WitnessWithoutProvenance", - "name": "NotAllowed_WitnessWithoutProvenance", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_NegativeLoad", - "name": "NotAllowed_NegativeLoad", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_UngroundedNode", - "name": "NotAllowed_UngroundedNode", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_InvisibleUniversality", - "name": "NotAllowed_InvisibleUniversality", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_UniversalityLossUnderProjection", - "name": "NotAllowed_UniversalityLossUnderProjection", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_UniversalityLossUnderCollapse", - "name": "NotAllowed_UniversalityLossUnderCollapse", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_UniversalityLossUnderEvolution", - "name": "NotAllowed_UniversalityLossUnderEvolution", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_AdversarialCanonicalInput", - "name": "NotAllowed_AdversarialCanonicalInput", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_WeirdMachineInput", - "name": "NotAllowed_WeirdMachineInput", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_NondeterministicCanonicalForm", - "name": "NotAllowed_NondeterministicCanonicalForm", - "module": "Semantics.Prohibited" - }, - { - "kind": "def", - "id": "Semantics.Prohibited.NotAllowed_NonCoreCanonicalSchema", - "name": "NotAllowed_NonCoreCanonicalSchema", - "module": "Semantics.Prohibited" - }, - { - "kind": "module", - "id": "Semantics.ProjectableGeometryCanonical", - "name": "ProjectableGeometryCanonical", - "path": "Semantics/ProjectableGeometryCanonical.lean", - "namespace": "Semantics.ProjectableGeometryCanonical", - "doc": "# Projectable Geometry Canonical Representation This module records the current canonical representation for the projectable geometry compressor: * signed 16-axis envelope, * 12D source/residual plane, * 4D primitive keel, * genus-3 residual boat, * 0D closure witness. It is an accounting gate fo", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 14, - "struct_count": 3, - "inductive_count": 0, - "line_count": 146 - }, - { - "kind": "theorem", - "id": "Semantics.ProjectableGeometryCanonical.canonicalShellCloses", - "name": "canonicalShellCloses", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "theorem", - "id": "Semantics.ProjectableGeometryCanonical.sampleClosedRepAdmissible", - "name": "sampleClosedRepAdmissible", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "theorem", - "id": "Semantics.ProjectableGeometryCanonical.brokenResidualRepNotAdmissible", - "name": "brokenResidualRepNotAdmissible", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "theorem", - "id": "Semantics.ProjectableGeometryCanonical.unresolvedShellRepNotAdmissible", - "name": "unresolvedShellRepNotAdmissible", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "def", - "id": "Semantics.ProjectableGeometryCanonical.signedEnvelopeAxes", - "name": "signedEnvelopeAxes", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "def", - "id": "Semantics.ProjectableGeometryCanonical.sourcePlaneAxes", - "name": "sourcePlaneAxes", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "def", - "id": "Semantics.ProjectableGeometryCanonical.primitiveKeelAxes", - "name": "primitiveKeelAxes", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "def", - "id": "Semantics.ProjectableGeometryCanonical.genusHandles", - "name": "genusHandles", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "def", - "id": "Semantics.ProjectableGeometryCanonical.closurePointAxes", - "name": "closurePointAxes", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "def", - "id": "Semantics.ProjectableGeometryCanonical.canonicalShell", - "name": "canonicalShell", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "def", - "id": "Semantics.ProjectableGeometryCanonical.shellCloses", - "name": "shellCloses", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "def", - "id": "Semantics.ProjectableGeometryCanonical.residualBoatCloses", - "name": "residualBoatCloses", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "def", - "id": "Semantics.ProjectableGeometryCanonical.sourceRehydrates", - "name": "sourceRehydrates", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "def", - "id": "Semantics.ProjectableGeometryCanonical.axesCanonical", - "name": "axesCanonical", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "def", - "id": "Semantics.ProjectableGeometryCanonical.canonicalRepAdmissible", - "name": "canonicalRepAdmissible", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "def", - "id": "Semantics.ProjectableGeometryCanonical.sampleClosedRep", - "name": "sampleClosedRep", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "def", - "id": "Semantics.ProjectableGeometryCanonical.brokenResidualRep", - "name": "brokenResidualRep", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "def", - "id": "Semantics.ProjectableGeometryCanonical.unresolvedShellRep", - "name": "unresolvedShellRep", - "module": "Semantics.ProjectableGeometryCanonical" - }, - { - "kind": "module", - "id": "Semantics.Projections", - "name": "Projections", - "path": "Semantics/Projections.lean", - "namespace": "Semantics", - "doc": "Cognitive Load metrics. Mirrors `docs/cognitive/COGNITIVE_LOAD_FUNCTIONS_SPEC.md`.", - "math_kind": "general", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 0, - "struct_count": 1, - "inductive_count": 0, - "line_count": 16 - }, - { - "kind": "module", - "id": "Semantics.Protocol", - "name": "Protocol", - "path": "Semantics/Protocol.lean", - "namespace": "Semantics.Protocol", - "doc": "Protocol: A formal set of rules for research, data, or network behavior. Examples: Hutter Prize, Signal Policy, ENE Sync.", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 2, - "struct_count": 1, - "inductive_count": 0, - "line_count": 46 - }, - { - "kind": "theorem", - "id": "Semantics.Protocol.protocolInheritance", - "name": "protocolInheritance", - "module": "Semantics.Protocol" - }, - { - "kind": "def", - "id": "Semantics.Protocol.isInherited", - "name": "isInherited", - "module": "Semantics.Protocol" - }, - { - "kind": "def", - "id": "Semantics.Protocol.protocolBind", - "name": "protocolBind", - "module": "Semantics.Protocol" - }, - { - "kind": "module", - "id": "Semantics.ProtonDecayAnchor", - "name": "ProtonDecayAnchor", - "path": "Semantics/ProtonDecayAnchor.lean", - "namespace": "Semantics.ProtonDecayAnchor", - "doc": "ProtonDecayAnchor.lean -- Can Proton Decay Time Anchor P0? The user proposes: use the proton decay lifetime as the natural anchor for P0. Proton decay is a hypothetical process predicted by Grand Unified Theories (GUTs). If it occurs, it would provide a universal, fundamental timescale. This modul", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 10, - "struct_count": 0, - "inductive_count": 0, - "line_count": 228 - }, - { - "kind": "theorem", - "id": "Semantics.ProtonDecayAnchor.for", - "name": "for", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "theorem", - "id": "Semantics.ProtonDecayAnchor.protonLifetimePositive", - "name": "protonLifetimePositive", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "theorem", - "id": "Semantics.ProtonDecayAnchor.protonLifetimeEnormous", - "name": "protonLifetimeEnormous", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "theorem", - "id": "Semantics.ProtonDecayAnchor.nProtonDecayEnormous", - "name": "nProtonDecayEnormous", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "theorem", - "id": "Semantics.ProtonDecayAnchor.frameworkCannotPredictProtonDecay", - "name": "frameworkCannotPredictProtonDecay", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "def", - "id": "Semantics.ProtonDecayAnchor.protonLifetimeLowerBoundYears", - "name": "protonLifetimeLowerBoundYears", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "def", - "id": "Semantics.ProtonDecayAnchor.protonLifetimeGUTMin", - "name": "protonLifetimeGUTMin", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "def", - "id": "Semantics.ProtonDecayAnchor.protonLifetimeGUTMax", - "name": "protonLifetimeGUTMax", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "def", - "id": "Semantics.ProtonDecayAnchor.protonLifetimeUncertaintySpan", - "name": "protonLifetimeUncertaintySpan", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "def", - "id": "Semantics.ProtonDecayAnchor.nForProtonDecayLower", - "name": "nForProtonDecayLower", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "def", - "id": "Semantics.ProtonDecayAnchor.nForProtonDecaySU5", - "name": "nForProtonDecaySU5", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "def", - "id": "Semantics.ProtonDecayAnchor.frameworkPredictsProtonDecay", - "name": "frameworkPredictsProtonDecay", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "def", - "id": "Semantics.ProtonDecayAnchor.frameworkHasParticlePhysics", - "name": "frameworkHasParticlePhysics", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "def", - "id": "Semantics.ProtonDecayAnchor.protonLifetimeMeasured", - "name": "protonLifetimeMeasured", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "def", - "id": "Semantics.ProtonDecayAnchor.protonLifetimePredictionsSpanDecades", - "name": "protonLifetimePredictionsSpanDecades", - "module": "Semantics.ProtonDecayAnchor" - }, - { - "kind": "module", - "id": "Semantics.ProvenanceSource", - "name": "ProvenanceSource", - "path": "Semantics/ProvenanceSource.lean", - "namespace": "Semantics.ProvenanceSource", - "doc": "ProvenanceSource is the open-future event surface for artifact lifecycle reports. A source event is a report, not a theorem: observation changes the receipt surface, not the underlying law. The backend and reference kinds deliberately carry strings instead of closed enums. The stack should accept f", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 13, - "struct_count": 4, - "inductive_count": 2, - "line_count": 148 - }, - { - "kind": "def", - "id": "Semantics.ProvenanceSource.CostPolicy", - "name": "CostPolicy", - "module": "Semantics.ProvenanceSource" - }, - { - "kind": "def", - "id": "Semantics.ProvenanceSource.actorKey", - "name": "actorKey", - "module": "Semantics.ProvenanceSource" - }, - { - "kind": "def", - "id": "Semantics.ProvenanceSource.isTrusted", - "name": "isTrusted", - "module": "Semantics.ProvenanceSource" - }, - { - "kind": "def", - "id": "Semantics.ProvenanceSource.visibilityToken", - "name": "visibilityToken", - "module": "Semantics.ProvenanceSource" - }, - { - "kind": "def", - "id": "Semantics.ProvenanceSource.backendToken", - "name": "backendToken", - "module": "Semantics.ProvenanceSource" - }, - { - "kind": "def", - "id": "Semantics.ProvenanceSource.invariant", - "name": "invariant", - "module": "Semantics.ProvenanceSource" - }, - { - "kind": "def", - "id": "Semantics.ProvenanceSource.legacyInvariant", - "name": "legacyInvariant", - "module": "Semantics.ProvenanceSource" - }, - { - "kind": "def", - "id": "Semantics.ProvenanceSource.targetInvariant", - "name": "targetInvariant", - "module": "Semantics.ProvenanceSource" - }, - { - "kind": "def", - "id": "Semantics.ProvenanceSource.legacyTargetInvariant", - "name": "legacyTargetInvariant", - "module": "Semantics.ProvenanceSource" - }, - { - "kind": "def", - "id": "Semantics.ProvenanceSource.cost", - "name": "cost", - "module": "Semantics.ProvenanceSource" - }, - { - "kind": "def", - "id": "Semantics.ProvenanceSource.bind", - "name": "bind", - "module": "Semantics.ProvenanceSource" - }, - { - "kind": "def", - "id": "Semantics.ProvenanceSource.legacyBind", - "name": "legacyBind", - "module": "Semantics.ProvenanceSource" - }, - { - "kind": "module", - "id": "Semantics.Purify", - "name": "Purify", - "path": "Semantics/Purify.lean", - "namespace": "Semantics.Purify", - "doc": "Verified Purification Engine: Reads raw metadata and produces formally hardened JSON records.", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 2, - "struct_count": 0, - "inductive_count": 0, - "line_count": 30 - }, - { - "kind": "def", - "id": "Semantics.Purify.purifyRecords", - "name": "purifyRecords", - "module": "Semantics.Purify" - }, - { - "kind": "def", - "id": "Semantics.Purify.runPurification", - "name": "runPurification", - "module": "Semantics.Purify" - }, - { - "kind": "module", - "id": "Semantics.PutinarBackbone", - "name": "PutinarBackbone", - "path": "Semantics/PutinarBackbone.lean", - "namespace": "Semantics.PutinarBackbone", - "doc": "============================================================ PUTINAR'S POSITIVSTELLENSATZ \u2014 THE GENERALIZED BACKBONE The backbone theorem: \u03a3 f\u1d62\u00b2 = 0 \u2194 each f\u1d62 = 0 Putinar's Positivstellensatz: p \u2265 0 on K \u2194 p has SOS certificate The backbone is the ZERO SET of Putinar. Putinar is the INEQUALITY GEN", - "math_kind": "algebra", - "sorry_count": 2, - "theorem_count": 12, - "def_count": 4, - "struct_count": 4, - "inductive_count": 0, - "line_count": 624 - }, - { - "kind": "theorem", - "id": "Semantics.PutinarBackbone.foldl_nonneg", - "name": "foldl_nonneg", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "theorem", - "id": "Semantics.PutinarBackbone.sos_nonneg", - "name": "sos_nonneg", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "theorem", - "id": "Semantics.PutinarBackbone.sos_zero_iff", - "name": "sos_zero_iff", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "theorem", - "id": "Semantics.PutinarBackbone.foldl_weighted_nonneg", - "name": "foldl_weighted_nonneg", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "theorem", - "id": "Semantics.PutinarBackbone.putinar_nonneg", - "name": "putinar_nonneg", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "theorem", - "id": "Semantics.PutinarBackbone.backbone_is_putinar_zero_case", - "name": "backbone_is_putinar_zero_case", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "theorem", - "id": "Semantics.PutinarBackbone.baker_replacement", - "name": "baker_replacement", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "theorem", - "id": "Semantics.PutinarBackbone.stars_convergence", - "name": "stars_convergence", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "theorem", - "id": "Semantics.PutinarBackbone.softplus_complementarity", - "name": "softplus_complementarity", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "theorem", - "id": "Semantics.PutinarBackbone.softplus_derivative_bounded", - "name": "softplus_derivative_bounded", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "theorem", - "id": "Semantics.PutinarBackbone.smoothPenalty_nonneg", - "name": "smoothPenalty_nonneg", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "theorem", - "id": "Semantics.PutinarBackbone.unified_polynomial", - "name": "unified_polynomial", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "def", - "id": "Semantics.PutinarBackbone.SemialgebraicSet", - "name": "SemialgebraicSet", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "def", - "id": "Semantics.PutinarBackbone.goormaghtighDomain", - "name": "goormaghtighDomain", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "def", - "id": "Semantics.PutinarBackbone.noCollisionDomain", - "name": "noCollisionDomain", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "def", - "id": "Semantics.PutinarBackbone.verifySDPSolution", - "name": "verifySDPSolution", - "module": "Semantics.PutinarBackbone" - }, - { - "kind": "module", - "id": "Semantics.Q0_2", - "name": "Q0_2", - "path": "Semantics/Q0_2.lean", - "namespace": "Semantics.Q0_2", - "doc": "Q0_2.lean \u2014 Q0_2 Fixed-Point Type for Braid Crossing Matrices Q0_2 represents 2-bit fixed-point values in the range [0, 0.75] with 0.25 resolution. The Q16_16 encoding is: 0 \u2192 0x00000000 0.25 \u2192 0x00004000 0.5 \u2192 0x00008000 0.75 \u2192 0x0000C000 Per AGENTS.md \u00a74.1: Q16_16 integer arithmetic is d", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 6, - "struct_count": 0, - "inductive_count": 0, - "line_count": 71 - }, - { - "kind": "theorem", - "id": "Semantics.Q0_2.allValues_are_Q0_2", - "name": "allValues_are_Q0_2", - "module": "Semantics.Q0_2" - }, - { - "kind": "theorem", - "id": "Semantics.Q0_2.allValues_length", - "name": "allValues_length", - "module": "Semantics.Q0_2" - }, - { - "kind": "theorem", - "id": "Semantics.Q0_2.q0_2_mul_self_nonneg", - "name": "q0_2_mul_self_nonneg", - "module": "Semantics.Q0_2" - }, - { - "kind": "theorem", - "id": "Semantics.Q0_2.q0_2_mul_nonneg", - "name": "q0_2_mul_nonneg", - "module": "Semantics.Q0_2" - }, - { - "kind": "theorem", - "id": "Semantics.Q0_2.q0_2_add_nonneg", - "name": "q0_2_add_nonneg", - "module": "Semantics.Q0_2" - }, - { - "kind": "def", - "id": "Semantics.Q0_2.q0_2_zero", - "name": "q0_2_zero", - "module": "Semantics.Q0_2" - }, - { - "kind": "def", - "id": "Semantics.Q0_2.q0_2_quarter", - "name": "q0_2_quarter", - "module": "Semantics.Q0_2" - }, - { - "kind": "def", - "id": "Semantics.Q0_2.q0_2_half", - "name": "q0_2_half", - "module": "Semantics.Q0_2" - }, - { - "kind": "def", - "id": "Semantics.Q0_2.q0_2_three_quarter", - "name": "q0_2_three_quarter", - "module": "Semantics.Q0_2" - }, - { - "kind": "def", - "id": "Semantics.Q0_2.allValues", - "name": "allValues", - "module": "Semantics.Q0_2" - }, - { - "kind": "def", - "id": "Semantics.Q0_2.IsQ0_2", - "name": "IsQ0_2", - "module": "Semantics.Q0_2" - }, - { - "kind": "module", - "id": "Semantics.Q16InverseProof", - "name": "Q16InverseProof", - "path": "Semantics/Q16InverseProof.lean", - "namespace": "", - "doc": "Q16InverseProof.lean Complete proof: A \u00d7 A\u207b\u00b9 = I for Q16_16 fixed-point matrices when all intermediate computations are exact. All mathematical axioms eliminated. Remaining axioms are implementation specs only.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 44, - "def_count": 10, - "struct_count": 1, - "inductive_count": 0, - "line_count": 977 - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.toRat_injective", - "name": "toRat_injective", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.ofRawInt_inRange", - "name": "ofRawInt_inRange", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.toRat_mul_exact", - "name": "toRat_mul_exact", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.ofRawInt_val", - "name": "ofRawInt_val", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.toRat_add_exact", - "name": "toRat_add_exact", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.toRat_div_exact", - "name": "toRat_div_exact", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.toRat_zero", - "name": "toRat_zero", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.toRat_one", - "name": "toRat_one", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.mul_one_eq", - "name": "mul_one_eq", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.one_mul_eq", - "name": "one_mul_eq", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.foldl_toRat_sum", - "name": "foldl_toRat_sum", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.toRat_ofInt_neg_one", - "name": "toRat_ofInt_neg_one", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.toRat_cofactor_sign", - "name": "toRat_cofactor_sign", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.cofactor_sign_mul_exact_full", - "name": "cofactor_sign_mul_exact_full", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.list_range_sum_eq_finset_sum", - "name": "list_range_sum_eq_finset_sum", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.list_map_congr", - "name": "list_map_congr", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.getEntry", - "name": "getEntry", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.toRM_identity", - "name": "toRM_identity", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.identity8_wf", - "name": "identity8_wf", - "module": "Semantics.Q16InverseProof" - 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"name": "foldl_range_push_get", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.getEntryQ_minorQ", - "name": "getEntryQ_minorQ", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.minorQ_wf", - "name": "minorQ_wf", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "theorem", - "id": "Semantics.Q16InverseProof.toRMn_minorQ", - "name": "toRMn_minorQ", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "def", - "id": "Semantics.Q16InverseProof.toRat", - "name": "toRat", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "def", - "id": "Semantics.Q16InverseProof.Q16_16", - "name": "Q16_16", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "def", - "id": "Semantics.Q16InverseProof.toRM", - "name": "toRM", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "def", - "id": "Semantics.Q16InverseProof.Matrix8_wf", - "name": "Matrix8_wf", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "def", - "id": "Semantics.Q16InverseProof.toRMn", - "name": "toRMn", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "def", - "id": "Semantics.Q16InverseProof.DetQExact", - "name": "DetQExact", - "module": "Semantics.Q16InverseProof" - }, - { - "kind": "module", - "id": "Semantics.Q16_16Numerics", - "name": "Q16_16Numerics", - "path": "Semantics/Q16_16Numerics.lean", - "namespace": "Semantics.Q16_16Numerics", - "doc": "Q16_16Numerics.lean \u2014 Rigorous Fixed-Point Numerical Functions This module provides Q16_16 versions of exp, sqrt, ln, sin, cos, etc. Functions delegate to Semantics.FixedPoint.Q16_16 where integer-only implementations exist. 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Problem: There are 6 different Q16_16 type definitions: 1. Semantics.FixedPoint.Q16_16 (canonical - Int subtype) - Used by ~421 files 2. 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"namespace": "Semantics.RRCLogogramProjection", - "doc": "# Rainbow Raccoon Compiler Logogram Projection This module formalizes the small claim proven by the current Python receipt: * a logogram can be type-admissible as a `LogogramProjection`; * a torn logogram can be projection-admissible after repair/quarantine; * the same torn logogram is not merge-a", - "math_kind": "rrc", - "sorry_count": 0, - "theorem_count": 7, - "def_count": 8, - "struct_count": 1, - "inductive_count": 4, - "line_count": 177 - }, - { - "kind": "theorem", - "id": "Semantics.RRCLogogramProjection.semantic_tear_projects_after_repair", - "name": "semantic_tear_projects_after_repair", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "theorem", - "id": "Semantics.RRCLogogramProjection.semantic_tear_does_not_merge", - "name": "semantic_tear_does_not_merge", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "theorem", - "id": "Semantics.RRCLogogramProjection.semantic_tear_uses_quarantine_lane", - "name": "semantic_tear_uses_quarantine_lane", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "theorem", - "id": "Semantics.RRCLogogramProjection.unrepaired_tear_does_not_project", - "name": "unrepaired_tear_does_not_project", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "theorem", - "id": "Semantics.RRCLogogramProjection.ordinary_logogram_projects_and_merges", - "name": "ordinary_logogram_projects_and_merges", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "theorem", - "id": "Semantics.RRCLogogramProjection.merge_implies_projection", - "name": "merge_implies_projection", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "theorem", - "id": "Semantics.RRCLogogramProjection.repaired_tear_separates_projection_from_merge", - "name": "repaired_tear_separates_projection_from_merge", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "def", - "id": "Semantics.RRCLogogramProjection.hasTearRepair", - "name": "hasTearRepair", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "def", - "id": "Semantics.RRCLogogramProjection.typeAdmissible", - "name": "typeAdmissible", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "def", - "id": "Semantics.RRCLogogramProjection.mergeAdmissible", - "name": "mergeAdmissible", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "def", - "id": "Semantics.RRCLogogramProjection.projectionAdmissible", - "name": "projectionAdmissible", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "def", - "id": "Semantics.RRCLogogramProjection.projectionLane", - "name": "projectionLane", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "def", - "id": "Semantics.RRCLogogramProjection.semanticTearReceipt", - "name": "semanticTearReceipt", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "def", - "id": "Semantics.RRCLogogramProjection.ordinaryLogogramReceipt", - "name": "ordinaryLogogramReceipt", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "def", - "id": "Semantics.RRCLogogramProjection.unrepairedTearReceipt", - "name": "unrepairedTearReceipt", - "module": "Semantics.RRCLogogramProjection" - }, - { - "kind": "module", - "id": "Semantics.RaycastField", - "name": "RaycastField", - "path": "Semantics/RaycastField.lean", - "namespace": "Semantics.RaycastField", - "doc": "RaycastField.lean - Fixed-Point Raycast Field Propagation", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 1, - "inductive_count": 0, - "line_count": 28 - }, - { - "kind": "def", - "id": "Semantics.RaycastField.sampleChannelField", - "name": "sampleChannelField", - "module": "Semantics.RaycastField" - }, - { - "kind": "def", - "id": "Semantics.RaycastField.amplitudeMean", - "name": "amplitudeMean", - "module": "Semantics.RaycastField" - }, - { - "kind": "def", - "id": "Semantics.RaycastField.inferLocalDerivativeFromMultiPath", - "name": "inferLocalDerivativeFromMultiPath", - "module": "Semantics.RaycastField" - }, - { - "kind": "module", - "id": "Semantics.RcloneIntegration", - "name": "RcloneIntegration", - "path": "Semantics/RcloneIntegration.lean", - "namespace": "Semantics.RcloneIntegration", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team RcloneIntegration.lean \u2014 Cloud Storage Operations in Lean This module formalizes Rclone cloud storage operations for the swarm system. Supports sync, copy, list, and other Rclone operations across vari", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 12, - "struct_count": 6, - "inductive_count": 3, - "line_count": 266 - }, - { - "kind": "theorem", - "id": "Semantics.RcloneIntegration.addTaskPreservesCount", - "name": "addTaskPreservesCount", - "module": "Semantics.RcloneIntegration" - }, - { - "kind": "theorem", - "id": "Semantics.RcloneIntegration.addTaskPreservesPendingLength", - "name": "addTaskPreservesPendingLength", - "module": "Semantics.RcloneIntegration" - }, - { - "kind": "theorem", - "id": "Semantics.RcloneIntegration.startTask_pending_non_increasing", - "name": "startTask_pending_non_increasing", - "module": "Semantics.RcloneIntegration" - }, - { - "kind": "theorem", - "id": "Semantics.RcloneIntegration.completeTask_completed_length", - "name": "completeTask_completed_length", - "module": "Semantics.RcloneIntegration" - }, - { - "kind": "def", - "id": "Semantics.RcloneIntegration.zero", - "name": "zero", - "module": "Semantics.RcloneIntegration" - }, - { - "kind": "def", - "id": "Semantics.RcloneIntegration.one", - "name": "one", - "module": "Semantics.RcloneIntegration" - }, - { - "kind": "def", - "id": "Semantics.RcloneIntegration.ofNat", - "name": "ofNat", - "module": "Semantics.RcloneIntegration" - }, - { - "kind": "def", - "id": "Semantics.RcloneIntegration.toString", - "name": "toString", - "module": "Semantics.RcloneIntegration" - }, - { - "kind": "def", - "id": "Semantics.RcloneIntegration.empty", - "name": "empty", - "module": "Semantics.RcloneIntegration" - }, - { - "kind": "def", - "id": "Semantics.RcloneIntegration.addTask", - "name": "addTask", - "module": "Semantics.RcloneIntegration" - }, - { - "kind": "def", - "id": "Semantics.RcloneIntegration.startTask", - "name": "startTask", - "module": "Semantics.RcloneIntegration" - }, - { - "kind": "def", - "id": "Semantics.RcloneIntegration.completeTask", - "name": "completeTask", - "module": "Semantics.RcloneIntegration" - }, - { - "kind": "def", - "id": "Semantics.RcloneIntegration.createRcloneExpert", - "name": "createRcloneExpert", - "module": "Semantics.RcloneIntegration" - }, - { - "kind": "def", - "id": "Semantics.RcloneIntegration.topologicalStorageArea", - "name": "topologicalStorageArea", - "module": "Semantics.RcloneIntegration" - }, - { - "kind": "module", - "id": "Semantics.RealityContractMassNumber", - "name": "RealityContractMassNumber", - "path": "Semantics/RealityContractMassNumber.lean", - "namespace": "HolyDiver", - "doc": "Holy Diver / ENE Reality-Contract Mass-Number Forest A Lean 4 core-only module encoding the ontology-derived ruleset: every domain is a reality-local field; candidates are reduced only through certified domain-local reductions; residuals are preserved, not erased; mass numbers are admissible reduct", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 33, - "struct_count": 14, - "inductive_count": 6, - "line_count": 558 - }, - { - "kind": "theorem", - "id": "Semantics.RealityContractMassNumber.decision_is_finite", - "name": "decision_is_finite", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "theorem", - "id": "Semantics.RealityContractMassNumber.residuals_typed_by_construction", - "name": "residuals_typed_by_construction", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "theorem", - "id": "Semantics.RealityContractMassNumber.native_reductions_certified", - "name": "native_reductions_certified", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "theorem", - "id": "Semantics.RealityContractMassNumber.mass_denominator_nonzero", - "name": "mass_denominator_nonzero", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "theorem", - "id": "Semantics.RealityContractMassNumber.distance_denominator_nonzero", - "name": "distance_denominator_nonzero", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "def", - "id": "Semantics.RealityContractMassNumber.DomainReduction", - "name": "DomainReduction", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "def", - "id": "Semantics.RealityContractMassNumber.CertifiedReduction", - "name": "CertifiedReduction", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "def", - "id": "Semantics.RealityContractMassNumber.ResidualRisk", - "name": "ResidualRisk", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "def", - "id": "Semantics.RealityContractMassNumber.Score", - "name": "Score", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "def", - "id": "Semantics.RealityContractMassNumber.sumNat", - "name": "sumNat", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "def", - "id": "Semantics.RealityContractMassNumber.admissibleReduction", - "name": "admissibleReduction", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "def", - "id": "Semantics.RealityContractMassNumber.massNumber", - "name": "massNumber", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "def", - "id": "Semantics.RealityContractMassNumber.massPhi", - "name": "massPhi", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "def", - "id": "Semantics.RealityContractMassNumber.phiDistanceCost", - "name": "phiDistanceCost", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "def", - "id": "Semantics.RealityContractMassNumber.autodocPressure", - "name": "autodocPressure", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "def", - "id": "Semantics.RealityContractMassNumber.CandidateRecord", - "name": "CandidateRecord", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "def", - "id": "Semantics.RealityContractMassNumber.highResidual", - "name": "highResidual", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "def", - "id": "Semantics.RealityContractMassNumber.riskLowEnough", - "name": "riskLowEnough", - "module": "Semantics.RealityContractMassNumber" - }, - { - "kind": "module", - "id": "Semantics.ReceiptCore", - "name": "ReceiptCore", - "path": "Semantics/ReceiptCore.lean", - "namespace": "Semantics.ReceiptCore", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team ReceiptCore.lean \u2014 Proof Receipt Infrastructure for GCL Workspace This module defines the receipt types that external validation systems (build, benchmark, audit, human review) must produce before a Wa", - "math_kind": "rrc", - "sorry_count": 1, - "theorem_count": 0, - "def_count": 14, - "struct_count": 2, - "inductive_count": 1, - "line_count": 265 - }, - { - "kind": "def", - "id": "Semantics.ReceiptCore.emptyReceipts", - "name": "emptyReceipts", - "module": "Semantics.ReceiptCore" - }, - { - "kind": "def", - "id": "Semantics.ReceiptCore.hasReceiptOfKind", - "name": "hasReceiptOfKind", - "module": "Semantics.ReceiptCore" - }, - { - "kind": "def", - "id": "Semantics.ReceiptCore.hasAllReceiptKinds", - "name": "hasAllReceiptKinds", - "module": "Semantics.ReceiptCore" - }, - { - "kind": "def", - "id": "Semantics.ReceiptCore.canPromoteFromCandidate", - "name": "canPromoteFromCandidate", - "module": "Semantics.ReceiptCore" - }, - { - "kind": "def", - "id": "Semantics.ReceiptCore.isBlocked", - "name": "isBlocked", - "module": "Semantics.ReceiptCore" - }, - { - "kind": "def", - "id": "Semantics.ReceiptCore.leanBuildReceipt", - "name": "leanBuildReceipt", - "module": "Semantics.ReceiptCore" - }, - { - "kind": "def", - "id": "Semantics.ReceiptCore.benchmarkReceipt", - "name": "benchmarkReceipt", - "module": "Semantics.ReceiptCore" - }, - { - "kind": "def", - "id": "Semantics.ReceiptCore.adversarialTrialReceipt", - "name": "adversarialTrialReceipt", - "module": "Semantics.ReceiptCore" - }, - { - "kind": "def", - "id": "Semantics.ReceiptCore.humanReviewReceipt", - "name": "humanReviewReceipt", - "module": "Semantics.ReceiptCore" - }, - { - "kind": "def", - "id": "Semantics.ReceiptCore.hasProofReceipt", - "name": "hasProofReceipt", - "module": "Semantics.ReceiptCore" - }, - { - "kind": "def", - "id": "Semantics.ReceiptCore.ledgerLookup", - "name": "ledgerLookup", - "module": "Semantics.ReceiptCore" - }, - { - "kind": "def", - "id": "Semantics.ReceiptCore.ledgerAppend", - "name": "ledgerAppend", - "module": "Semantics.ReceiptCore" - }, - { - "kind": "def", - "id": "Semantics.ReceiptCore.ledgerHasProofReceipt", - "name": "ledgerHasProofReceipt", - "module": "Semantics.ReceiptCore" - }, - { - "kind": "def", - "id": "Semantics.ReceiptCore.LedgerPromotionInvariant", - "name": "LedgerPromotionInvariant", - "module": "Semantics.ReceiptCore" - }, - { - "kind": "module", - "id": "Semantics.RegimeCore", - "name": "RegimeCore", - "path": "Semantics/RegimeCore.lean", - "namespace": "Semantics.RegimeCore", - "doc": "RegimeCore.lean - Minimal stub for Type-Safe Manifold Assignments", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 1, - "struct_count": 1, - "inductive_count": 1, - "line_count": 53 - }, - { - "kind": "def", - "id": "Semantics.RegimeCore.classifyAssignment", - "name": "classifyAssignment", - "module": "Semantics.RegimeCore" - }, - { - "kind": "module", - "id": "Semantics.RelationMaskTrainer", - "name": "RelationMaskTrainer", - "path": "Semantics/RelationMaskTrainer.lean", - "namespace": "Semantics.RelationMaskTrainer", - "doc": "RelationMaskTrainer.lean - KS_RELATION_SIEVE Formalization Migrates legacy f64 outcome ratios to strict UInt64 limits.", - "math_kind": "general", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 2, - "struct_count": 1, - "inductive_count": 2, - "line_count": 59 - }, - { - "kind": "def", - "id": "Semantics.RelationMaskTrainer.observe", - "name": "observe", - "module": "Semantics.RelationMaskTrainer" - }, - { - "kind": "def", - "id": "Semantics.RelationMaskTrainer.recommendForSig", - "name": "recommendForSig", - "module": "Semantics.RelationMaskTrainer" - }, - { - "kind": "module", - "id": "Semantics.ResearchAgent", - "name": "ResearchAgent", - "path": "Semantics/ResearchAgent.lean", - "namespace": "Semantics.ResearchAgent", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. 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Authors: Research Stack Team ResonanceGradient.lean \u2014 Resonance Gradient Computation for Quaternion Stochastic Differentials This module formalizes the resonance gradient computation as specified in MATH_MODEL_MAP 0.4.4: Resonance", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 6, - "struct_count": 3, - "inductive_count": 0, - "line_count": 171 - }, - { - "kind": "theorem", - "id": "Semantics.ResonanceGradient.quaternionStochasticEvolutionPreservesUnitWitness", - "name": "quaternionStochasticEvolutionPreservesUnitWitness", - "module": "Semantics.ResonanceGradient" - }, - { - "kind": "def", - "id": "Semantics.ResonanceGradient.resonanceDifferential", - "name": "resonanceDifferential", - "module": "Semantics.ResonanceGradient" - }, - { - "kind": "def", - "id": "Semantics.ResonanceGradient.stochasticDifferential", - "name": "stochasticDifferential", - "module": "Semantics.ResonanceGradient" - }, - { - "kind": "def", - "id": "Semantics.ResonanceGradient.itoCorrection", - "name": "itoCorrection", - "module": "Semantics.ResonanceGradient" - }, - { - "kind": "def", - "id": "Semantics.ResonanceGradient.quaternionStochasticEvolution", - "name": "quaternionStochasticEvolution", - "module": "Semantics.ResonanceGradient" - }, - { - "kind": "def", - "id": "Semantics.ResonanceGradient.spherionResonanceGradient", - "name": "spherionResonanceGradient", - "module": "Semantics.ResonanceGradient" - }, - { - "kind": "def", - "id": "Semantics.ResonanceGradient.sluqQuaternionTriage", - "name": "sluqQuaternionTriage", - "module": "Semantics.ResonanceGradient" - }, - { - "kind": "module", - "id": "Semantics.ResourceLayers", - "name": "ResourceLayers", - "path": "Semantics/ResourceLayers.lean", - "namespace": "Semantics.ResourceLayers", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team ResourceLayers.lean \u2014 Combined Base + Topological Resource Layers Replaces scripts/combined_resource_layers.py with a formal Lean module that defines physical and topological resource layer structures ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 8, - "struct_count": 6, - "inductive_count": 0, - "line_count": 213 - }, - { - "kind": "def", - "id": "Semantics.ResourceLayers.zero", - "name": "zero", - "module": "Semantics.ResourceLayers" - }, - { - "kind": "def", - "id": "Semantics.ResourceLayers.one", - "name": "one", - "module": "Semantics.ResourceLayers" - }, - { - "kind": "def", - "id": "Semantics.ResourceLayers.ofNat", - "name": "ofNat", - "module": "Semantics.ResourceLayers" - }, - { - "kind": "def", - "id": "Semantics.ResourceLayers.toNat", - "name": "toNat", - "module": "Semantics.ResourceLayers" - }, - { - "kind": "def", - "id": "Semantics.ResourceLayers.ofFrac", - "name": "ofFrac", - "module": "Semantics.ResourceLayers" - }, - { - "kind": "def", - "id": "Semantics.ResourceLayers.calculatePhysicalLayer", - "name": "calculatePhysicalLayer", - "module": "Semantics.ResourceLayers" - }, - { - "kind": "def", - "id": "Semantics.ResourceLayers.calculateTopologicalLayer", - "name": "calculateTopologicalLayer", - "module": "Semantics.ResourceLayers" - }, - { - "kind": "def", - "id": "Semantics.ResourceLayers.calculateCombinedTotals", - "name": "calculateCombinedTotals", - "module": "Semantics.ResourceLayers" - }, - { - "kind": "module", - "id": "Semantics.RiemannianResonanceCorrelator", - "name": "RiemannianResonanceCorrelator", - "path": "Semantics/RiemannianResonanceCorrelator.lean", - "namespace": "Semantics.RiemannianResonanceCorrelator", - "doc": "RiemannianResonanceCorrelator.lean \u2014 Finding PDE Shortcuts in Particle Physics Data This module implements the Riemannian Resonance Correlator (RRC): a mathematical tool for extracting generating structures from 50 years of particle physics event data. The pipeline: 1. 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Authors: Research Stack Team RotationQUBO.lean \u2014 Rotation Matrices as Literal Rotation Notation in Frustrated QUBO Fields This module formalizes a 1D scalar triangle navigating a frustrated QUBO field, spawning friends to rotate i", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 13, - "struct_count": 6, - "inductive_count": 0, - "line_count": 259 - }, - { - "kind": "def", - "id": "Semantics.RotationQUBO.balanced", - "name": "balanced", - "module": "Semantics.RotationQUBO" - }, - { - "kind": "def", - "id": "Semantics.RotationQUBO.fromPISTCoord", - "name": "fromPISTCoord", - "module": "Semantics.RotationQUBO" - }, - { - "kind": "def", - "id": "Semantics.RotationQUBO.pistMass", - "name": "pistMass", - "module": "Semantics.RotationQUBO" - }, - { - "kind": "def", - "id": "Semantics.RotationQUBO.fromAngle", - "name": "fromAngle", - "module": "Semantics.RotationQUBO" - }, - { - "kind": "def", - "id": "Semantics.RotationQUBO.rotateVertex", - "name": "rotateVertex", - "module": "Semantics.RotationQUBO" - }, - { - "kind": "def", - "id": "Semantics.RotationQUBO.rotateTriangle", - "name": "rotateTriangle", - "module": "Semantics.RotationQUBO" - }, - { - "kind": "def", - "id": "Semantics.RotationQUBO.fieldEnergy", - "name": "fieldEnergy", - "module": "Semantics.RotationQUBO" - }, - { - "kind": "def", - "id": "Semantics.RotationQUBO.isFrustrated", - "name": "isFrustrated", - "module": "Semantics.RotationQUBO" - }, - { - "kind": "def", - "id": "Semantics.RotationQUBO.contains", - "name": "contains", - "module": "Semantics.RotationQUBO" - }, - { - "kind": "def", - "id": "Semantics.RotationQUBO.spawn", - "name": "spawn", - "module": "Semantics.RotationQUBO" - }, - { - "kind": "def", - "id": "Semantics.RotationQUBO.spawnSuperposition", - "name": "spawnSuperposition", - "module": "Semantics.RotationQUBO" - }, - { - "kind": "def", - "id": "Semantics.RotationQUBO.rotationField", - "name": "rotationField", - "module": "Semantics.RotationQUBO" - }, - { - "kind": "module", - "id": "Semantics.RouteCost", - "name": "RouteCost", - "path": "Semantics/RouteCost.lean", - "namespace": "Semantics.RouteCost", - "doc": "# Equation Route Cost Finite, Q16.16-scaled route scoring for the first compressed equation graph. The JSON and CSV artifacts are serialization witnesses; this Lean module is the source of truth for the edge-cost computation.", - "math_kind": "routing", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 90, - "struct_count": 1, - "inductive_count": 7, - "line_count": 482 - }, - { - "kind": "theorem", - "id": "Semantics.RouteCost.routeCostTotal", - "name": "routeCostTotal", - "module": "Semantics.RouteCost" - }, - { - "kind": "theorem", - "id": "Semantics.RouteCost.routeCostSelfZero", - "name": "routeCostSelfZero", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.qZero", - "name": "qZero", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.qEighth", - "name": "qEighth", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.qQuarter", - "name": "qQuarter", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.qHalf", - "name": "qHalf", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.qOne", - "name": "qOne", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.FoundationKernel", - "name": "FoundationKernel", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.TopologyLayer", - "name": "TopologyLayer", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.SubstrateStage", - "name": "SubstrateStage", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.proofBurdenCost", - "name": "proofBurdenCost", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.failureRiskCost", - "name": "failureRiskCost", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.natAbsDiff", - "name": "natAbsDiff", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.optEq", - "name": "optEq", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.knownBridge", - "name": "knownBridge", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.resolvedStreet", - "name": "resolvedStreet", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.kernelDistance", - "name": "kernelDistance", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.streetTransitionCost", - "name": "streetTransitionCost", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.gwlTopologyDistance", - "name": "gwlTopologyDistance", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.substrateExecutionCost", - "name": "substrateExecutionCost", - "module": "Semantics.RouteCost" - }, - { - "kind": "def", - "id": "Semantics.RouteCost.proofObligationCost", - "name": "proofObligationCost", - "module": "Semantics.RouteCost" - }, - { - "kind": "module", - "id": "Semantics.RustOISCDecompressor", - "name": "RustOISCDecompressor", - "path": "Semantics/RustOISCDecompressor.lean", - "namespace": "Semantics.RustOISCDecompressor", - "doc": "Rust OISC decompressor target, finite-state Lean surface. This is intentionally small: it proves the shape of the decompressor hot path, not a production codec. The only transition primitive is `step`. 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"name": "instrB", - "module": "Semantics.RustOISCDecompressor" - }, - { - "kind": "def", - "id": "Semantics.RustOISCDecompressor.instrC", - "name": "instrC", - "module": "Semantics.RustOISCDecompressor" - }, - { - "kind": "def", - "id": "Semantics.RustOISCDecompressor.instrHighResidual", - "name": "instrHighResidual", - "module": "Semantics.RustOISCDecompressor" - }, - { - "kind": "def", - "id": "Semantics.RustOISCDecompressor.instrWrapFinal", - "name": "instrWrapFinal", - "module": "Semantics.RustOISCDecompressor" - }, - { - "kind": "module", - "id": "Semantics.S3C", - "name": "S3C", - "path": "Semantics/S3C.lean", - "namespace": "Semantics.S3C", - "doc": "structure ShellCoords where k : Nat -- Shell index (coarse handle) a : Nat -- Lower offset (medium handle) bPlus : Nat -- Next-shell gap (b\u207a = (k+1)\u00b2 - n) bZero : Nat -- Closed-shell complement (b\u2070 = (k+1)\u00b2 - 1 - n) massPlus : Nat -- Open-shell intersection form a*b\u207a massZero : Nat -- Closed-s", - "math_kind": "geometry", - 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}, - { - "kind": "def", - "id": "Semantics.S3C.echoWeights", - "name": "echoWeights", - "module": "Semantics.S3C" - }, - { - "kind": "def", - "id": "Semantics.S3C.detectContact", - "name": "detectContact", - "module": "Semantics.S3C" - }, - { - "kind": "def", - "id": "Semantics.S3C.mirrorTerm", - "name": "mirrorTerm", - "module": "Semantics.S3C" - }, - { - "kind": "def", - "id": "Semantics.S3C.computeJScore", - "name": "computeJScore", - "module": "Semantics.S3C" - }, - { - "kind": "def", - "id": "Semantics.S3C.emissionGate", - "name": "emissionGate", - "module": "Semantics.S3C" - }, - { - "kind": "def", - "id": "Semantics.S3C.processAudioSample", - "name": "processAudioSample", - "module": "Semantics.S3C" - }, - { - "kind": "def", - "id": "Semantics.S3C.isThroat", - "name": "isThroat", - "module": "Semantics.S3C" - }, - { - "kind": "module", - "id": "Semantics.S3CGeometry", - "name": "S3CGeometry", - "path": "Semantics/S3CGeometry.lean", - "namespace": "S3CGeometry", - "doc": "S3CGeometry.lean Helper module for geometric constructions underlying S3C shell decomposition. Provides Euclidean circle-based square root computation and parity bifurcation bridging arithmetic shell decomposition with geometric circle intersection. Math domain: geometric mean theorem circle-diame", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 6, - "def_count": 2, - "struct_count": 5, - "inductive_count": 1, - "line_count": 184 - }, - { - "kind": "theorem", - "id": "Semantics.S3CGeometry.decompositionProperty", - "name": "decompositionProperty", - "module": "Semantics.S3CGeometry" - }, - { - "kind": "theorem", - "id": "Semantics.S3CGeometry.complementProperty", - "name": "complementProperty", - "module": "Semantics.S3CGeometry" - }, - { - "kind": "theorem", - "id": "Semantics.S3CGeometry.parityConsistency", - "name": "parityConsistency", - "module": "Semantics.S3CGeometry" - }, - { - "kind": "theorem", - "id": "Semantics.S3CGeometry.shellIndexProperty", - "name": "shellIndexProperty", - "module": "Semantics.S3CGeometry" - }, - { - "kind": "theorem", - "id": "Semantics.S3CGeometry.offsetProperty", - "name": "offsetProperty", - "module": "Semantics.S3CGeometry" - }, - { - "kind": "theorem", - "id": "Semantics.S3CGeometry.massProperty", - "name": "massProperty", - "module": "Semantics.S3CGeometry" - }, - { - "kind": "def", - "id": "Semantics.S3CGeometry.natParity", - "name": "natParity", - "module": "Semantics.S3CGeometry" - }, - { - "kind": "def", - "id": "Semantics.S3CGeometry.unitSegmentConstruction", - "name": "unitSegmentConstruction", - "module": "Semantics.S3CGeometry" - }, - { - "kind": "module", - "id": "Semantics.S3CResonance", - "name": "S3CResonance", - "path": "Semantics/S3CResonance.lean", - "namespace": "Semantics.S3CResonance", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team S3CResonance.lean \u2014 Ductile Architecture J-Score and MAC-Filter in Q16_16 Implements the S3C-D (Ductile) manifold resonance model and MAC-Filter phase coherence using Q16_16 fixed-point arithmetic per ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 13, - "struct_count": 1, - "inductive_count": 0, - "line_count": 199 - }, - { - "kind": "theorem", - "id": "Semantics.S3CResonance.jPeak_correct", - "name": "jPeak_correct", - "module": "Semantics.S3CResonance" - }, - { - "kind": "theorem", - "id": "Semantics.S3CResonance.jPeak_exceeds_god_tier", - "name": "jPeak_exceeds_god_tier", - "module": "Semantics.S3CResonance" - }, - { - "kind": "theorem", - "id": "Semantics.S3CResonance.peakAttainsGodTier", - "name": "peakAttainsGodTier", - "module": "Semantics.S3CResonance" - }, - { - "kind": "theorem", - "id": "Semantics.S3CResonance.peakPhaseHigh", - "name": "peakPhaseHigh", - "module": "Semantics.S3CResonance" - }, - { - "kind": "def", - "id": "Semantics.S3CResonance.jCoeffNegHalf", - "name": "jCoeffNegHalf", - "module": "Semantics.S3CResonance" - }, - { - "kind": "def", - "id": "Semantics.S3CResonance.jBias", - "name": "jBias", - "module": "Semantics.S3CResonance" - }, - { - "kind": "def", - "id": "Semantics.S3CResonance.jCenter", - "name": "jCenter", - "module": "Semantics.S3CResonance" - }, - { - "kind": "def", - "id": "Semantics.S3CResonance.jGodTierThreshold", - "name": "jGodTierThreshold", - "module": "Semantics.S3CResonance" - }, - { - "kind": "def", - "id": "Semantics.S3CResonance.computeJScore", - "name": "computeJScore", - "module": "Semantics.S3CResonance" - }, - { - "kind": "def", - "id": "Semantics.S3CResonance.isGodTier", - "name": "isGodTier", - "module": "Semantics.S3CResonance" - }, - { - "kind": "def", - "id": "Semantics.S3CResonance.macPhaseThreshold", - "name": "macPhaseThreshold", - "module": "Semantics.S3CResonance" - }, - { - "kind": "def", - "id": "Semantics.S3CResonance.macPhaseHigh", - "name": "macPhaseHigh", - "module": "Semantics.S3CResonance" - }, - { - "kind": "def", - "id": "Semantics.S3CResonance.kPeak", - "name": "kPeak", - "module": "Semantics.S3CResonance" - }, - { - "kind": "def", - "id": "Semantics.S3CResonance.jPeak", - "name": "jPeak", - "module": "Semantics.S3CResonance" - }, - { - "kind": "def", - "id": "Semantics.S3CResonance.peakState", - "name": "peakState", - "module": "Semantics.S3CResonance" - }, - { - "kind": "def", - "id": "Semantics.S3CResonance.jScoreToFloat", - "name": "jScoreToFloat", - "module": "Semantics.S3CResonance" - }, - { - "kind": "def", - "id": "Semantics.S3CResonance.kToFloat", - "name": "kToFloat", - "module": "Semantics.S3CResonance" - }, - { - "kind": "module", - "id": "Semantics.SDPVerify", - "name": "SDPVerify", - "path": "Semantics/SDPVerify.lean", - "namespace": "Semantics.SDPVerify", - "doc": "============================================================ SDP CERTIFICATE VERIFICATION ENGINE Sparse polynomial arithmetic over \u211a for verifying SOS (Sum-of-Squares) certificates produced by external SDP solvers. Architecture: External SDP solver (Python shim) \u2192 rational coefficients This module", - "math_kind": "algebra", - "sorry_count": 1, - "theorem_count": 23, - "def_count": 30, - "struct_count": 2, - "inductive_count": 0, - "line_count": 714 - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.foldl_add", - "name": "foldl_add", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.evalSparsePoly_foldl_add", - "name": "evalSparsePoly_foldl_add", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.eval_cons", - "name": "eval_cons", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.evalSparsePoly_append", - "name": "evalSparsePoly_append", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.evalTerm_exponentAdd", - "name": "evalTerm_exponentAdd", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.eval_mulTermPoly", - "name": "eval_mulTermPoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.eval_mul", - "name": "eval_mul", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.eval_sqPoly", - "name": "eval_sqPoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.sumSqPoly_foldl_add", - "name": "sumSqPoly_foldl_add", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.eval_sumSqPoly", - "name": "eval_sumSqPoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.weightedSumPoly_foldl_add", - "name": "weightedSumPoly_foldl_add", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.eval_weightedSumPoly", - "name": "eval_weightedSumPoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.sqPoly_eval_nonneg", - "name": "sqPoly_eval_nonneg", - 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"name": "polyEqNormalized_eq", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.polyEqNormalized_eval_eq", - "name": "polyEqNormalized_eval_eq", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.polyEq_eval_eq", - "name": "polyEq_eval_eq", - "module": "Semantics.SDPVerify" - }, - { - "kind": "theorem", - "id": "Semantics.SDPVerify.verifyCertificate_sound", - "name": "verifyCertificate_sound", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.exponentAdd", - "name": "exponentAdd", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.exponentZero", - "name": "exponentZero", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.exponentLt", - "name": "exponentLt", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.exponentEq", - "name": "exponentEq", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.zeroPoly", - "name": "zeroPoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.constPoly", - "name": "constPoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.monomialPoly", - "name": "monomialPoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.addPoly", - "name": "addPoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.scalePoly", - "name": "scalePoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.negPoly", - "name": "negPoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.mulTermPoly", - "name": "mulTermPoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.mulPoly", - "name": "mulPoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.sqPoly", - "name": "sqPoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.sumSqPoly", - "name": "sumSqPoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.weightedSumPoly", - "name": "weightedSumPoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.insertTerm", - "name": "insertTerm", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.normalizePoly", - "name": "normalizePoly", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.polyEqNormalized", - "name": "polyEqNormalized", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.polyEq", - "name": "polyEq", - "module": "Semantics.SDPVerify" - }, - { - "kind": "def", - "id": "Semantics.SDPVerify.polyIsZero", - "name": "polyIsZero", - "module": "Semantics.SDPVerify" - }, - { - "kind": "module", - "id": "Semantics.SDTA", - "name": "SDTA", - "path": "Semantics/SDTA.lean", - "namespace": "Semantics.SDTA", - "doc": "SDTA.lean \u2014 Semantic Degenerate Tensor Adapter The SDTA is a category-theoretic framework where: Problems exist as states x \u2208 X Degeneracy projections \u03a0_D collapse to a chart D Adapters A_ij = \u03a0_Dj \u2218 T_ij \u2218 \u03a0_Di transport between charts Tree composition \u03a8(\u2113) aggregates child adapters This module i", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 10, - "def_count": 11, - "struct_count": 4, - "inductive_count": 0, - "line_count": 362 - }, - { - "kind": "theorem", - "id": "Semantics.SDTA.degeneracyProjection_idempotent", - "name": "degeneracyProjection_idempotent", - "module": "Semantics.SDTA" - }, - { - "kind": "theorem", - "id": "Semantics.SDTA.degeneracyProjection_preserves_chart", - "name": "degeneracyProjection_preserves_chart", - "module": "Semantics.SDTA" - }, - { - "kind": "theorem", - 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}, - { - "kind": "def", - "id": "Semantics.SDTA.portabilityCoefficient", - "name": "portabilityCoefficient", - "module": "Semantics.SDTA" - }, - { - "kind": "def", - "id": "Semantics.SDTA.SDTA_is_category", - "name": "SDTA_is_category", - "module": "Semantics.SDTA" - }, - { - "kind": "module", - "id": "Semantics.SIConstants", - "name": "SIConstants", - "path": "Semantics/SIConstants.lean", - "namespace": "Semantics.SIConstants", - "doc": "SIConstants.lean \u2014 SI Defining Constants, Derived Constants, and Measurements All defining constants below are exact under the SI 2019 redefinition (BIPM SI Brochure 9th ed.). They are represented as exact integers (`Nat`/`Int`) where they are integers, and as exact rationals (`Rat`) where they are", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 31, - "struct_count": 0, - "inductive_count": 0, - "line_count": 282 - }, - { - "kind": "def", - "id": "Semantics.SIConstants.caesiumFrequency_Hz", - "name": "caesiumFrequency_Hz", - "module": "Semantics.SIConstants" - }, - { - "kind": "def", - "id": "Semantics.SIConstants.speedOfLight_m_per_s", - "name": "speedOfLight_m_per_s", - "module": "Semantics.SIConstants" - }, - { - "kind": "def", - "id": "Semantics.SIConstants.planckConstant_J_s", - "name": "planckConstant_J_s", - "module": "Semantics.SIConstants" - }, - { - "kind": "def", - "id": "Semantics.SIConstants.elementaryCharge_C", - "name": "elementaryCharge_C", - "module": "Semantics.SIConstants" - }, - { - "kind": "def", - "id": "Semantics.SIConstants.boltzmannConstant_J_per_K", - "name": "boltzmannConstant_J_per_K", - "module": "Semantics.SIConstants" - 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"name": "lightYear_m", - "module": "Semantics.SIConstants" - }, - { - "kind": "def", - "id": "Semantics.SIConstants.bohrRadius_m", - "name": "bohrRadius_m", - "module": "Semantics.SIConstants" - }, - { - "kind": "def", - "id": "Semantics.SIConstants.rydbergEnergy_eV", - "name": "rydbergEnergy_eV", - "module": "Semantics.SIConstants" - }, - { - "kind": "def", - "id": "Semantics.SIConstants.inverseFineStructureConstant", - "name": "inverseFineStructureConstant", - "module": "Semantics.SIConstants" - }, - { - "kind": "def", - "id": "Semantics.SIConstants.fineStructureConstant", - "name": "fineStructureConstant", - "module": "Semantics.SIConstants" - }, - { - "kind": "def", - "id": "Semantics.SIConstants.wienDisplacement_m_K", - "name": "wienDisplacement_m_K", - "module": "Semantics.SIConstants" - }, - { - "kind": "def", - "id": "Semantics.SIConstants.sunBlackbodyPeak_m", - "name": "sunBlackbodyPeak_m", - "module": "Semantics.SIConstants" - }, - { - "kind": "def", - "id": "Semantics.SIConstants.massEnergy_1g_J", - "name": "massEnergy_1g_J", - "module": "Semantics.SIConstants" - }, - { - "kind": "def", - "id": "Semantics.SIConstants.molarVolumeSTP_m3", - "name": "molarVolumeSTP_m3", - "module": "Semantics.SIConstants" - }, - { - "kind": "module", - "id": "Semantics.SIMDBranchPrediction", - "name": "SIMDBranchPrediction", - "path": "Semantics/SIMDBranchPrediction.lean", - "namespace": "Semantics.SIMDBranchPrediction", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 6, - "struct_count": 4, - "inductive_count": 1, - 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}, - { - "kind": "def", - "id": "Semantics.SIMDBranchPrediction.isSIMDBranchActionLawful", - "name": "isSIMDBranchActionLawful", - "module": "Semantics.SIMDBranchPrediction" - }, - { - "kind": "def", - "id": "Semantics.SIMDBranchPrediction.simdBranchedBind", - "name": "simdBranchedBind", - "module": "Semantics.SIMDBranchPrediction" - }, - { - "kind": "module", - "id": "Semantics.SLUG3", - "name": "SLUG3", - "path": "Semantics/SLUG3.lean", - "namespace": "Semantics.SLUG3", - "doc": "Semantics/SLUG3.lean - Authoritative SLUG-3 Ternary Gate & Opcode Mapping This module formalizes the 27 OISC opcodes derived from the SLUG-3 ternary classification as specified in the N-Folded MMR Gossip EBML Schema. 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Authors: Research Stack Team SSMS.lean \u2014 Scalar-Spawning Manifold State Machine Full Lean 4 formalization covering: \u00a71 Q16.16 fixed-point arithmetic \u00a72 Ternary weights and dot product \u00a73 BitLinear activation scaling \u00a74 MLGRU r", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 14, - "def_count": 67, - "struct_count": 16, - "inductive_count": 1, - "line_count": 1202 - }, - { - "kind": "theorem", - "id": "Semantics.SSMS.compressionRatio", - "name": "compressionRatio", - "module": "Semantics.SSMS" - }, - { - "kind": "theorem", - "id": "Semantics.SSMS.fp16Compression", - "name": "fp16Compression", - "module": "Semantics.SSMS" - }, - { - "kind": "theorem", - "id": "Semantics.SSMS.jPhantomBounded", - "name": "jPhantomBounded", - "module": "Semantics.SSMS" - }, - { - "kind": "theorem", - "id": "Semantics.SSMS.testEdgesWf", - "name": "testEdgesWf", - "module": "Semantics.SSMS" - }, - { - "kind": "theorem", - "id": "Semantics.SSMS.mul_eq_for_bounded", - "name": "mul_eq_for_bounded", - "module": "Semantics.SSMS" - }, - { - "kind": "theorem", - "id": "Semantics.SSMS.ediv_add_bound_nonneg", - "name": "ediv_add_bound_nonneg", - "module": "Semantics.SSMS" - }, - { - "kind": "theorem", - "id": "Semantics.SSMS.ediv_add_bound", - "name": "ediv_add_bound", - "module": "Semantics.SSMS" - }, - { - "kind": "theorem", - "id": "Semantics.SSMS.abs_toInt_eq_clamp_abs", - "name": "abs_toInt_eq_clamp_abs", - "module": "Semantics.SSMS" - }, - { - "kind": "theorem", - "id": "Semantics.SSMS.abs_sub_val_le", - "name": "abs_sub_val_le", - "module": "Semantics.SSMS" - }, - { - "kind": "theorem", - "id": "Semantics.SSMS.aciPreservedByMlgruStep", - "name": "aciPreservedByMlgruStep", - "module": "Semantics.SSMS" - }, - { - "kind": "theorem", - "id": "Semantics.SSMS.conflictFree", - "name": "conflictFree", - "module": "Semantics.SSMS" - }, - { - "kind": "theorem", - "id": "Semantics.SSMS.mlgru_blend_diff_le", - "name": "mlgru_blend_diff_le", - "module": "Semantics.SSMS" - }, - { - "kind": "theorem", - "id": "Semantics.SSMS.ssms_step_nonexpansive", - "name": "ssms_step_nonexpansive", - "module": "Semantics.SSMS" - }, - { - "kind": "theorem", - "id": "Semantics.SSMS.ssms_contraction_theorem", - "name": "ssms_contraction_theorem", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.TernaryWeight", - "name": "TernaryWeight", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.wordsNeeded", - "name": "wordsNeeded", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.TernarySlice", - "name": "TernarySlice", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.BitLinearParams", - "name": "BitLinearParams", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.bitLinearScale", - "name": "bitLinearScale", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.mlgruStep", - "name": "mlgruStep", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.MlgruState", - "name": "MlgruState", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.ScalarNode", - "name": "ScalarNode", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.poolRank", - "name": "poolRank", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.SubleqCore", - "name": "SubleqCore", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.ioIn", - "name": "ioIn", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.ioOut", - "name": "ioOut", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.sVal", - "name": "sVal", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.sigmaPort", - "name": "sigmaPort", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.energyPort", - "name": "energyPort", - "module": "Semantics.SSMS" - }, - { - "kind": "def", - "id": "Semantics.SSMS.tauSpawn", - "name": "tauSpawn", - "module": "Semantics.SSMS" - }, - { - "kind": "module", - "id": "Semantics.SSMS_nD", - "name": "SSMS_nD", - "path": "Semantics/SSMS_nD.lean", - "namespace": "Semantics.SSMS_nD", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. 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}, - { - "kind": "def", - "id": "Semantics.SabotagePrevention.checkConsistency", - "name": "checkConsistency", - "module": "Semantics.SabotagePrevention" - }, - { - "kind": "def", - "id": "Semantics.SabotagePrevention.checkCompleteness", - "name": "checkCompleteness", - "module": "Semantics.SabotagePrevention" - }, - { - "kind": "def", - "id": "Semantics.SabotagePrevention.systemSelfReference", - "name": "systemSelfReference", - "module": "Semantics.SabotagePrevention" - }, - { - "kind": "def", - "id": "Semantics.SabotagePrevention.godelNumber", - "name": "godelNumber", - "module": "Semantics.SabotagePrevention" - }, - { - "kind": "def", - "id": "Semantics.SabotagePrevention.isRestorationWarranted", - "name": "isRestorationWarranted", - "module": "Semantics.SabotagePrevention" - }, - { - "kind": "def", - "id": "Semantics.SabotagePrevention.evaluateRestorationBenefit", - "name": "evaluateRestorationBenefit", - "module": "Semantics.SabotagePrevention" - }, - { - "kind": "module", - "id": "Semantics.ScalarCollapse", - 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}, - { - "kind": "theorem", - "id": "Semantics.ScalarCollapse.exact_collapse_matches_policy", - "name": "exact_collapse_matches_policy", - "module": "Semantics.ScalarCollapse" - }, - { - "kind": "theorem", - "id": "Semantics.ScalarCollapse.collapse_policy_preserves_required_invariants", - "name": "collapse_policy_preserves_required_invariants", - "module": "Semantics.ScalarCollapse" - }, - { - "kind": "theorem", - "id": "Semantics.ScalarCollapse.collapse_preserves_universality_requirement", - "name": "collapse_preserves_universality_requirement", - "module": "Semantics.ScalarCollapse" - }, - { - "kind": "def", - "id": "Semantics.ScalarCollapse.ScalarAdmissible", - "name": "ScalarAdmissible", - "module": "Semantics.ScalarCollapse" - }, - { - "kind": "module", - "id": "Semantics.ScalarEventProjection", - "name": "ScalarEventProjection", - "path": "Semantics/ScalarEventProjection.lean", - "namespace": "Semantics.ScalarEventProjection", - "doc": "ScalarEventProjection.lean \u2014 Scalar Event Multi-Projection Theory This module formalizes scalar event multi-projection theory: one scalar work event can produce more usable structure when projected through calculation, defense, and verification lanes than when used for calculation alone. 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}, - { - "kind": "def", - "id": "Semantics.Scratch.flushOutbox", - "name": "flushOutbox", - "module": "Semantics.Scratch" - }, - { - "kind": "def", - "id": "Semantics.Scratch.inboxSize", - "name": "inboxSize", - "module": "Semantics.Scratch" - }, - { - "kind": "def", - "id": "Semantics.Scratch.empty", - "name": "empty", - "module": "Semantics.Scratch" - }, - { - "kind": "def", - "id": "Semantics.Scratch.registerMailbox", - "name": "registerMailbox", - "module": "Semantics.Scratch" - }, - { - "kind": "def", - "id": "Semantics.Scratch.findMailbox", - "name": "findMailbox", - "module": "Semantics.Scratch" - }, - { - "kind": "def", - "id": "Semantics.Scratch.updateMailbox", - "name": "updateMailbox", - "module": "Semantics.Scratch" - }, - { - "kind": "def", - "id": "Semantics.Scratch.deliveryCycle", - "name": "deliveryCycle", - "module": "Semantics.Scratch" - }, - { - "kind": "def", - "id": "Semantics.Scratch.totalPending", - "name": "totalPending", - "module": "Semantics.Scratch" - }, - { - 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(2026): \"Application of Deep Neural Networks for Computing RG Flow\" (arXiv:2510.06", - "math_kind": "routing", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 1, - "struct_count": 9, - "inductive_count": 0, - "line_count": 149 - }, - { - "kind": "def", - "id": "Semantics.SemanticRGFlow.attractorDescent", - "name": "attractorDescent", - "module": "Semantics.SemanticRGFlow" - }, - { - "kind": "module", - "id": "Semantics.SensorField", - "name": "SensorField", - "path": "Semantics/SensorField.lean", - "namespace": "Semantics.SensorField", - "doc": "", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 19, - "struct_count": 8, - "inductive_count": 8, - "line_count": 367 - }, - { - "kind": "def", - "id": "Semantics.SensorField.isRfBand", - "name": "isRfBand", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.isOpticalBand", - "name": "isOpticalBand", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.modalityBandCompatible", - "name": "modalityBandCompatible", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.intensityWithinWindow", - "name": "intensityWithinWindow", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.bandAccepted", - "name": "bandAccepted", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.sampleCompatibleWithField", - "name": "sampleCompatibleWithField", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.sampleCompatibleWithBoundary", - "name": "sampleCompatibleWithBoundary", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.sampleCompatibleWithLink", - "name": "sampleCompatibleWithLink", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.deriveErrorField", - "name": "deriveErrorField", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.classifyErrorDisposition", - "name": "classifyErrorDisposition", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.assessSensorError", - "name": "assessSensorError", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.classifyDetectionClass", - "name": "classifyDetectionClass", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.classifySensorRegime", - "name": "classifySensorRegime", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.detectionConfidence", - "name": "detectionConfidence", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.detectSample", - "name": "detectSample", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.channelSupportsDetection", - "name": "channelSupportsDetection", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.fieldAdmitsTransition", - "name": "fieldAdmitsTransition", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.wifiSensorField", - "name": "wifiSensorField", - "module": "Semantics.SensorField" - }, - { - "kind": "def", - "id": "Semantics.SensorField.opticalProbeField", - "name": "opticalProbeField", - "module": "Semantics.SensorField" - }, - { - "kind": "module", - "id": "Semantics.ShellModel", - "name": "ShellModel", - "path": "Semantics/ShellModel.lean", - "namespace": "Semantics.ShellModel", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team ShellModel.lean \u2014 Shell State Geometry and Event Classification This module implements the Erd\u0151s #1196 piecewise eigenvector construction for shell-based event classification. It provides: \u2022 Shell stat", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 11, - "struct_count": 2, - "inductive_count": 0, - "line_count": 181 - }, - { - "kind": "def", - "id": "Semantics.ShellModel.isqrt", - "name": "isqrt", - "module": "Semantics.ShellModel" - }, - { - "kind": "def", - "id": "Semantics.ShellModel.shellState", - "name": "shellState", - "module": "Semantics.ShellModel" - }, - { - "kind": "def", - "id": "Semantics.ShellModel.classifyEvent", - "name": "classifyEvent", - "module": "Semantics.ShellModel" - }, - { - "kind": "def", - "id": "Semantics.ShellModel.tipCoord", - "name": "tipCoord", - "module": "Semantics.ShellModel" - }, - { - "kind": "def", - "id": "Semantics.ShellModel.eventAt", - "name": "eventAt", - "module": "Semantics.ShellModel" - }, - { - "kind": "def", - "id": "Semantics.ShellModel.SpectralSignature", - "name": "SpectralSignature", - "module": "Semantics.ShellModel" - }, - { - "kind": "def", - "id": "Semantics.ShellModel.tailWeight", - "name": "tailWeight", - "module": "Semantics.ShellModel" - }, - { - "kind": "def", - "id": "Semantics.ShellModel.clampInt", - "name": "clampInt", - "module": "Semantics.ShellModel" - }, - { - "kind": "def", - "id": "Semantics.ShellModel.phaseFromTipAndInteraction", - "name": "phaseFromTipAndInteraction", - "module": "Semantics.ShellModel" - }, - { - "kind": "def", - "id": "Semantics.ShellModel.indexBitFromInteraction", - "name": "indexBitFromInteraction", - "module": "Semantics.ShellModel" - }, - { - "kind": "module", - "id": "Semantics.ShortestObservableTime", - "name": "ShortestObservableTime", - "path": "Semantics/ShortestObservableTime.lean", - "namespace": "Semantics.ShortestObservableTime", - "doc": "ShortestObservableTime.lean -- What Is the Absolute Shortest Observable Time? The user asks: what is the shortest time at which any amount of energy can be observed at any scale? This is a genuine physics question about the fundamental limits of time observation. This module answers the question r", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 10, - "struct_count": 0, - "inductive_count": 0, - "line_count": 218 - }, - { - "kind": "theorem", - "id": "Semantics.ShortestObservableTime.for", - "name": "for", - "module": "Semantics.ShortestObservableTime" - }, - { - "kind": "theorem", - "id": "Semantics.ShortestObservableTime.planckTimePositive", - "name": "planckTimePositive", - "module": "Semantics.ShortestObservableTime" - }, - { - "kind": "theorem", - "id": "Semantics.ShortestObservableTime.secondsIn61YearsPositive", - "name": "secondsIn61YearsPositive", - "module": "Semantics.ShortestObservableTime" - }, - { - "kind": "theorem", - "id": "Semantics.ShortestObservableTime.thermalMinTimePositive", - "name": "thermalMinTimePositive", - "module": "Semantics.ShortestObservableTime" - }, - { - "kind": "def", - "id": "Semantics.ShortestObservableTime.hbarSI", - "name": "hbarSI", - "module": "Semantics.ShortestObservableTime" - }, - { - "kind": "def", - "id": "Semantics.ShortestObservableTime.planckEnergyJ", - "name": "planckEnergyJ", - "module": "Semantics.ShortestObservableTime" - }, - { - "kind": "def", - "id": "Semantics.ShortestObservableTime.heisenbergMinTime", - "name": "heisenbergMinTime", - "module": "Semantics.ShortestObservableTime" - }, - { - "kind": "def", - "id": "Semantics.ShortestObservableTime.planckTimeFromHeisenberg", - "name": "planckTimeFromHeisenberg", - "module": "Semantics.ShortestObservableTime" - }, - { - "kind": "def", - "id": "Semantics.ShortestObservableTime.nuclearMinTime", - "name": "nuclearMinTime", - "module": "Semantics.ShortestObservableTime" - }, - { - "kind": "def", - "id": "Semantics.ShortestObservableTime.atomicMinTime", - "name": "atomicMinTime", - "module": "Semantics.ShortestObservableTime" - }, - { - "kind": "def", - "id": "Semantics.ShortestObservableTime.thermalMinTime", - "name": "thermalMinTime", - "module": "Semantics.ShortestObservableTime" - }, - { - "kind": "def", - "id": "Semantics.ShortestObservableTime.ecologicalMinTime", - "name": "ecologicalMinTime", - "module": "Semantics.ShortestObservableTime" - }, - { - "kind": "def", - "id": "Semantics.ShortestObservableTime.planckTicksIn61Years", - "name": "planckTicksIn61Years", - "module": "Semantics.ShortestObservableTime" - }, - { - "kind": "def", - "id": "Semantics.ShortestObservableTime.thermalTicksIn61Years", - "name": "thermalTicksIn61Years", - "module": "Semantics.ShortestObservableTime" - }, - { - "kind": "module", - "id": "Semantics.SidonAVM", - "name": "SidonAVM", - "path": "Semantics/SidonAVM.lean", - "namespace": "Semantics.SidonAVM", - "doc": "This module implements the greedy Sidon set generator as an AVM program. The AVM state encodes the Sidon construction state in memory: M[0] = target size (k) M[1] = current length M[2..9] = current elements (max 8 slots for braid strands) M[10] = candidate M[11] = canAdd result (1 = yes, 0 = no) M", - "math_kind": "number_theory", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 24, - "struct_count": 1, - "inductive_count": 0, - "line_count": 204 - }, - { - "kind": "theorem", - "id": "Semantics.SidonAVM.sidonAVM_eq_generateSidonFuel", - "name": "sidonAVM_eq_generateSidonFuel", - "module": "Semantics.SidonAVM" - }, - { - "kind": "theorem", - "id": "Semantics.SidonAVM.sidonAVM_isSidonList", - "name": "sidonAVM_isSidonList", - "module": "Semantics.SidonAVM" - }, - { - "kind": "theorem", - "id": "Semantics.SidonAVM.sidonAVM_terminates", - "name": "sidonAVM_terminates", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.maxSidonSize", - "name": "maxSidonSize", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.memTarget", - "name": "memTarget", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.memCurrentLen", - "name": "memCurrentLen", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.memCurrentBase", - "name": "memCurrentBase", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.memCandidate", - "name": "memCandidate", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.memCanAdd", - "name": "memCanAdd", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.memLoopI", - "name": "memLoopI", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.memLoopJ", - "name": "memLoopJ", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.memTempSum", - "name": "memTempSum", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.memTempFlag", - "name": "memTempFlag", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.initMemory", - "name": "initMemory", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.readNat", - "name": "readNat", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.readCurrent", - "name": "readCurrent", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.readCandidate", - "name": "readCandidate", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.sidonCheckDone", - "name": "sidonCheckDone", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.sidonTryAdd", - "name": "sidonTryAdd", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.sidonIncrementCandidate", - "name": "sidonIncrementCandidate", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.sidonStep", - "name": "sidonStep", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.sidonRun", - "name": "sidonRun", - "module": "Semantics.SidonAVM" - }, - { - "kind": "def", - "id": "Semantics.SidonAVM.sidonProgram", - "name": "sidonProgram", - "module": "Semantics.SidonAVM" - }, - { - "kind": "module", - "id": "Semantics.SidonSet", - "name": "SidonSet", - "path": "Semantics/SidonSet.lean", - "namespace": "Semantics.SidonSet", - "doc": "A Sidon set (also called a B\u2082 set or Erd\u0151s\u2013Sidon set) is a set of natural numbers where all pairwise sums a + b (with a \u2264 b) are unique. This module implements a greedy generator for Sidon sets and provides utilities for checking the Sidon property. Such sets have applications in: Frequency assignm", - "math_kind": "number_theory", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 0, - "line_count": 111 - }, - { - "kind": "def", - "id": "Semantics.SidonSet.isSidon", - "name": "isSidon", - "module": "Semantics.SidonSet" - }, - { - "kind": "def", - "id": "Semantics.SidonSet.pairwiseSums", - "name": "pairwiseSums", - "module": "Semantics.SidonSet" - }, - { - "kind": "def", - "id": "Semantics.SidonSet.canAdd", - "name": "canAdd", - "module": "Semantics.SidonSet" - }, - { - "kind": "def", - "id": "Semantics.SidonSet.generateSidonFuel", - "name": "generateSidonFuel", - "module": "Semantics.SidonSet" - }, - { - "kind": "def", - "id": "Semantics.SidonSet.main", - "name": "main", - "module": "Semantics.SidonSet" - }, - { - "kind": "module", - "id": "Semantics.SidonSets", - "name": "SidonSets", - "path": "Semantics/SidonSets.lean", - "namespace": "Semantics.SidonSets", - "doc": "Port of the reusable Sidon-set infrastructure from Hulak\u2013Ramos\u2013de Queiroz (2026), \"Formalizing Singer Sidon Constructions and Sidon Set Infrastructure in Lean 4\" (arXiv: 2605.03274). Original Lean 4 source: https://github.com/d0d1/singer-theorem-lean Commit: 0c890589afc58e8955a5d7c3a609daff6447da31", - "math_kind": "number_theory", - "sorry_count": 0, - "theorem_count": 68, - "def_count": 17, - "struct_count": 1, - "inductive_count": 0, - "line_count": 1806 - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.IsSidonMod", - "name": "IsSidonMod", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.IsIntervalSidon", - "name": "IsIntervalSidon", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.IsSidon", - "name": "IsSidon", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.sidonMaximum_exists", - "name": "sidonMaximum_exists", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.sidonMaximum_isSidonMaximum", - "name": "sidonMaximum_isSidonMaximum", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.isSidonMaximum_unique", - "name": "isSidonMaximum_unique", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.sidonMaximum_le_sqrt_two", - "name": "sidonMaximum_le_sqrt_two", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.sortedLT_take_lt_drop", - "name": "sortedLT_take_lt_drop", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.johnson_numerical", - "name": "johnson_numerical", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.incidence_inequality", - "name": "incidence_inequality", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.sidon_intersection_sum_bound", - "name": "sidon_intersection_sum_bound", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.lindstrom_monotone", - "name": "lindstrom_monotone", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.sidonMaximum_le_lindstrom", - "name": "sidonMaximum_le_lindstrom", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.finrank_ext", - "name": "finrank_ext", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.trace_surjective", - "name": "trace_surjective", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.finrank_ker_trace", - "name": "finrank_ker_trace", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.minpoly_degree_eq_three", - "name": "minpoly_degree_eq_three", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.linIndep_smul_v", - "name": "linIndep_smul_v", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.no_proper_invariant_subspace", - "name": "no_proper_invariant_subspace", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.finrank_inf_of_distinct_twodim", - "name": "finrank_inf_of_distinct_twodim", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.mem_scaledSubmodule_iff", - "name": "mem_scaledSubmodule_iff", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.finrank_scaledSubmodule", - "name": "finrank_scaledSubmodule", - "module": "Semantics.SidonSets" - }, - { - "kind": "theorem", - "id": "Semantics.SidonSets.ker_trace_ne_bot", - "name": "ker_trace_ne_bot", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.IsSidonNat", - "name": "IsSidonNat", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.translate", - "name": "translate", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.IsSidonMaximum", - "name": "IsSidonMaximum", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.kerBasis", - "name": "kerBasis", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.repV", - "name": "repV", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.rep", - "name": "rep", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.SingerFamilyHypothesis", - "name": "SingerFamilyHypothesis", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.Erdos30Statement", - "name": "Erdos30Statement", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.SidonChaosAddresses", - "name": "SidonChaosAddresses", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.strandOfAddress", - "name": "strandOfAddress", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.addressOfStrand", - "name": "addressOfStrand", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.sidon_chaos_address", - "name": "sidon_chaos_address", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.ChaosStrand", - "name": "ChaosStrand", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.trajectoryAddress", - "name": "trajectoryAddress", - "module": "Semantics.SidonSets" - }, - { - "kind": "def", - "id": "Semantics.SidonSets.sidon_address_valid", - "name": "sidon_address_valid", - "module": "Semantics.SidonSets" - }, - { - "kind": "module", - "id": "Semantics.SieveLemmas", - "name": "SieveLemmas", - "path": "Semantics/SieveLemmas.lean", - "namespace": "Semantics.SieveLemmas", - "doc": "SieveLemmas.lean -- Number-theoretic lemmas for coprime sieve observers This module formalizes the CRT reconstruction principle referenced in ImaginarySemanticTime.lean: two observers with coprime native sieve moduli hold independent, complementary shadows of the same underlying manifold coordinate", - "math_kind": "number_theory", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 9, - "struct_count": 1, - "inductive_count": 0, - "line_count": 112 - }, - { - "kind": "theorem", - "id": "Semantics.SieveLemmas.observe_lt", - "name": "observe_lt", - "module": "Semantics.SieveLemmas" - }, - { - "kind": "theorem", - "id": "Semantics.SieveLemmas.crtReconstruct_mod_\u21131", - "name": "crtReconstruct_mod_\u21131", - "module": "Semantics.SieveLemmas" - }, - { - "kind": "theorem", - "id": "Semantics.SieveLemmas.crtReconstruct_mod_\u21132", - "name": "crtReconstruct_mod_\u21132", - "module": "Semantics.SieveLemmas" - }, - { - "kind": "theorem", - "id": "Semantics.SieveLemmas.depth_token_coprime_intersect", - "name": "depth_token_coprime_intersect", - "module": "Semantics.SieveLemmas" - }, - { - "kind": "def", - "id": "Semantics.SieveLemmas.observe", - "name": "observe", - "module": "Semantics.SieveLemmas" - }, - { - "kind": "def", - "id": "Semantics.SieveLemmas.CoprimeObservers", - "name": "CoprimeObservers", - "module": "Semantics.SieveLemmas" - }, - { - "kind": "def", - "id": "Semantics.SieveLemmas.crtReconstruct", - "name": "crtReconstruct", - "module": "Semantics.SieveLemmas" - }, - { - "kind": "def", - "id": "Semantics.SieveLemmas.human\u2113", - "name": "human\u2113", - "module": "Semantics.SieveLemmas" - }, - { - "kind": "def", - "id": "Semantics.SieveLemmas.dolphin\u2113", - "name": "dolphin\u2113", - "module": "Semantics.SieveLemmas" - }, - { - "kind": "def", - "id": "Semantics.SieveLemmas.shared", - "name": "shared", - "module": "Semantics.SieveLemmas" - }, - { - "kind": "def", - "id": "Semantics.SieveLemmas.humanShadow", - "name": "humanShadow", - "module": "Semantics.SieveLemmas" - }, - { - "kind": "def", - "id": "Semantics.SieveLemmas.dolphinShadow", - "name": "dolphinShadow", - "module": "Semantics.SieveLemmas" - }, - { - "kind": "def", - "id": "Semantics.SieveLemmas.reconciled", - "name": "reconciled", - "module": "Semantics.SieveLemmas" - }, - { - "kind": "module", - "id": "Semantics.SigmaGate", - "name": "SigmaGate", - "path": "Semantics/SigmaGate.lean", - "namespace": "Semantics.SigmaGate", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team SigmaGate.lean \u2014 Fixed-Point Conformal Confidence Gating This module formalizes the \u03c3-gate concept from empirical LLM safety systems (Creation OS / Spektre Labs) into a Lean-verified, hardware-native i", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 6, - "def_count": 19, - "struct_count": 9, - "inductive_count": 2, - "line_count": 642 - }, - { - "kind": "theorem", - "id": "Semantics.SigmaGate.sigmaGateAcceptsCorrect", - "name": "sigmaGateAcceptsCorrect", - "module": "Semantics.SigmaGate" - }, - { - "kind": "theorem", - "id": "Semantics.SigmaGate.sigmaGateRejectsIncorrect", - "name": "sigmaGateRejectsIncorrect", - "module": "Semantics.SigmaGate" - }, - { - "kind": "theorem", - "id": "Semantics.SigmaGate.conformalCoverageGuarantee", - "name": "conformalCoverageGuarantee", - "module": "Semantics.SigmaGate" - }, - { - "kind": "theorem", - "id": "Semantics.SigmaGate.conformalHighConfidenceAccept", - "name": "conformalHighConfidenceAccept", - "module": "Semantics.SigmaGate" - }, - { - "kind": "theorem", - "id": "Semantics.SigmaGate.conservativeThresholdValid", - "name": "conservativeThresholdValid", - "module": "Semantics.SigmaGate" - }, - { - "kind": "theorem", - "id": "Semantics.SigmaGate.sixSigmaThresholdValid", - "name": "sixSigmaThresholdValid", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.SigmaScore", - "name": "SigmaScore", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.ConformalThreshold", - "name": "ConformalThreshold", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.countConcordantPairs", - "name": "countConcordantPairs", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.computeAuroc", - "name": "computeAuroc", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.calibrateConformalThreshold", - "name": "calibrateConformalThreshold", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.composeSigma", - "name": "composeSigma", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.sigmaGateVerdict", - "name": "sigmaGateVerdict", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.sigmaGateBind", - "name": "sigmaGateBind", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.omegaLoopUpdate", - "name": "omegaLoopUpdate", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.CalibrationTarget", - "name": "CalibrationTarget", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.verifyCalibrationTarget", - "name": "verifyCalibrationTarget", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.isMinimumSampleSize", - "name": "isMinimumSampleSize", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.isValidConformalThreshold", - "name": "isValidConformalThreshold", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.shimToScoredItem", - "name": "shimToScoredItem", - "module": "Semantics.SigmaGate" - }, - { - "kind": "def", - "id": "Semantics.SigmaGate.verifyShimCoverage", - "name": "verifyShimCoverage", - "module": "Semantics.SigmaGate" - }, - { - "kind": "module", - "id": "Semantics.SigmaGateBenchmark", - "name": "SigmaGateBenchmark", - "path": "Semantics/SigmaGateBenchmark.lean", - "namespace": "Semantics.SigmaGate.Benchmark", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team SigmaGateBenchmark.lean \u2014 Creation OS Benchmark Verification Auto-generated from Creation OS benchmarks/suite/full_results.json via scripts/creation_os_shim.py (JSON \u2192 Lean #eval shim). 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Authors: Research Stack Team SigmaGateEntropy.lean \u2014 Entropy-Derived Confidence Scores for Sigma Gate Bridges EntropyMeasures and SigmaGate without circular imports. 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Authors: Research Stack Team SpectralField.lean \u2014 Local Field Accumulation and Interaction Metrics Per AGENTS.md \u00a72: PascalCase for types, camelCase for functions. 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"id": "Semantics.SubstrateProfile.fpgaSpectralSupport", - "name": "fpgaSpectralSupport", - "module": "Semantics.SubstrateProfile" - }, - { - "kind": "def", - "id": "Semantics.SubstrateProfile.fpgaBoundarySupport", - "name": "fpgaBoundarySupport", - "module": "Semantics.SubstrateProfile" - }, - { - "kind": "def", - "id": "Semantics.SubstrateProfile.fpgaCausalSupport", - "name": "fpgaCausalSupport", - "module": "Semantics.SubstrateProfile" - }, - { - "kind": "def", - "id": "Semantics.SubstrateProfile.fpgaSubstrateProfile", - "name": "fpgaSubstrateProfile", - "module": "Semantics.SubstrateProfile" - }, - { - "kind": "def", - "id": "Semantics.SubstrateProfile.softwareResearchSubstrateProfile", - "name": "softwareResearchSubstrateProfile", - "module": "Semantics.SubstrateProfile" - }, - { - "kind": "module", - "id": "Semantics.Support.NetworkUtilization", - "name": "NetworkUtilization", - "path": "Semantics/Support/NetworkUtilization.lean", - "namespace": "Semantics.NetworkUtilization", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team NetworkUtilization.lean \u2014 Network Utilization Verification in Lean This module formalizes network utilization verification for distributed training. It checks connectivity, ENE status, data availabilit", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 13, - "struct_count": 6, - "inductive_count": 1, - "line_count": 221 - }, - { - "kind": "theorem", - "id": "Semantics.Support.NetworkUtilization.all_nodes_online_iff_all_operational", - "name": "all_nodes_online_iff_all_operational", - "module": "Semantics.Support.NetworkUtilization" - }, - { - "kind": "theorem", - "id": "Semantics.Support.NetworkUtilization.resource_utilization_guarantee", - "name": "resource_utilization_guarantee", - "module": "Semantics.Support.NetworkUtilization" - }, - { - "kind": "def", - "id": "Semantics.Support.NetworkUtilization.zero", - "name": "zero", - "module": "Semantics.Support.NetworkUtilization" - }, - { - "kind": "def", - "id": "Semantics.Support.NetworkUtilization.one", - "name": "one", - "module": "Semantics.Support.NetworkUtilization" - }, - { - "kind": "def", - "id": "Semantics.Support.NetworkUtilization.ofNat", - "name": "ofNat", - "module": "Semantics.Support.NetworkUtilization" - }, - { - "kind": "def", - "id": "Semantics.Support.NetworkUtilization.online", - "name": "online", - "module": "Semantics.Support.NetworkUtilization" - }, - { - "kind": "def", - "id": "Semantics.Support.NetworkUtilization.offline", - "name": "offline", - "module": "Semantics.Support.NetworkUtilization" - }, - { - "kind": "def", - "id": "Semantics.Support.NetworkUtilization.error", - "name": "error", - "module": "Semantics.Support.NetworkUtilization" - }, - { - "kind": "def", - "id": "Semantics.Support.NetworkUtilization.defaultStatus", - "name": "defaultStatus", - "module": "Semantics.Support.NetworkUtilization" - }, - { - "kind": "def", - "id": "Semantics.Support.NetworkUtilization.defaultAvailability", - "name": "defaultAvailability", - "module": "Semantics.Support.NetworkUtilization" - }, - { - "kind": "def", - "id": "Semantics.Support.NetworkUtilization.defaultAllocation", - "name": "defaultAllocation", - "module": "Semantics.Support.NetworkUtilization" - }, - { - "kind": "def", - "id": "Semantics.Support.NetworkUtilization.defaultResult", - "name": "defaultResult", - "module": "Semantics.Support.NetworkUtilization" - }, - { - "kind": "def", - "id": "Semantics.Support.NetworkUtilization.checkAllSystemsOperational", - "name": "checkAllSystemsOperational", - "module": "Semantics.Support.NetworkUtilization" - }, - { - "kind": "def", - "id": "Semantics.Support.NetworkUtilization.VerificationResult", - "name": "VerificationResult", - "module": "Semantics.Support.NetworkUtilization" - }, - { - "kind": "module", - "id": "Semantics.Surface", - "name": "Surface", - "path": "Semantics/Surface.lean", - "namespace": "Semantics.Surface", - "doc": "# Surface Canonical entry point for surface-facing semantics. This module consolidates surface-facing semantics without moving legacy files. New code should import `Semantics.Surface` and select a `SurfaceRole` instead of importing transport-specific surfaces directly.", - "math_kind": "avm", - "sorry_count": 0, - "theorem_count": 10, - "def_count": 4, - "struct_count": 1, - "inductive_count": 1, - "line_count": 164 - }, - { - "kind": "theorem", - "id": "Semantics.Surface.receiptForBindClass", - "name": "receiptForBindClass", - "module": "Semantics.Surface" - }, - { - "kind": "theorem", - "id": "Semantics.Surface.transportBoundaryIff", - "name": "transportBoundaryIff", - "module": "Semantics.Surface" - }, - { - "kind": "theorem", - "id": "Semantics.Surface.jsonlConnectorIsInformational", - "name": "jsonlConnectorIsInformational", - "module": "Semantics.Surface" - }, - { - "kind": "theorem", - "id": "Semantics.Surface.geometricSurfaceIsNotTransport", - "name": "geometricSurfaceIsNotTransport", - "module": "Semantics.Surface" - }, - { - "kind": "theorem", - "id": "Semantics.Surface.metadataComputationIsInformational", - "name": "metadataComputationIsInformational", - "module": "Semantics.Surface" - }, - { - "kind": "theorem", - "id": "Semantics.Surface.webrtcWaveformIsTransport", - "name": "webrtcWaveformIsTransport", - "module": "Semantics.Surface" - }, - { - "kind": "theorem", - "id": "Semantics.Surface.passiveComputationIsTransport", - "name": "passiveComputationIsTransport", - "module": "Semantics.Surface" - }, - { - "kind": "theorem", - "id": "Semantics.Surface.phiShellEncodingIsGeometric", - "name": "phiShellEncodingIsGeometric", - "module": "Semantics.Surface" - }, - { - "kind": "theorem", - "id": "Semantics.Surface.goldenAngleEncodingIsGeometric", - "name": "goldenAngleEncodingIsGeometric", - "module": "Semantics.Surface" - }, - { - "kind": "theorem", - "id": "Semantics.Surface.fibonacciEncodingIsInformational", - "name": "fibonacciEncodingIsInformational", - "module": "Semantics.Surface" - }, - { - "kind": "def", - "id": "Semantics.Surface.bindClass", - "name": "bindClass", - "module": "Semantics.Surface" - }, - { - "kind": "def", - "id": "Semantics.Surface.isTransportBoundary", - "name": "isTransportBoundary", - "module": "Semantics.Surface" - }, - { - "kind": "def", - "id": "Semantics.Surface.invariantTag", - "name": "invariantTag", - "module": "Semantics.Surface" - }, - { - "kind": "def", - "id": "Semantics.Surface.receiptFor", - "name": "receiptFor", - "module": "Semantics.Surface" - }, - { - "kind": "module", - "id": "Semantics.SurfaceCore", - "name": "SurfaceCore", - "path": "Semantics/SurfaceCore.lean", - "namespace": "Semantics.SurfaceCore", - "doc": "SurfaceCore.lean - Fixed-Point Surface Definition (Stub)", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 1, - "inductive_count": 0, - "line_count": 43 - }, - { - "kind": "def", - "id": "Semantics.SurfaceCore.surfaceInvariant", - "name": "surfaceInvariant", - "module": "Semantics.SurfaceCore" - }, - { - "kind": "def", - "id": "Semantics.SurfaceCore.divergence", - "name": "divergence", - "module": "Semantics.SurfaceCore" - }, - { - "kind": "def", - "id": "Semantics.SurfaceCore.curvature", - "name": "curvature", - "module": "Semantics.SurfaceCore" - }, - { - "kind": "def", - "id": "Semantics.SurfaceCore.stabilityClass", - "name": "stabilityClass", - "module": "Semantics.SurfaceCore" - }, - { - "kind": "def", - "id": "Semantics.SurfaceCore.exampleSurface", - "name": "exampleSurface", - "module": "Semantics.SurfaceCore" - }, - { - "kind": "module", - "id": "Semantics.SwarmAnalysis", - "name": "SwarmAnalysis", - "path": "Semantics/SwarmAnalysis.lean", - "namespace": "Semantics.SwarmAnalysis", - "doc": "Deep resolution of domains from UniversalCoupling. Returns structured domain information with dimensionality and description.", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 6, - "struct_count": 4, - "inductive_count": 0, - "line_count": 346 - }, - { - "kind": "def", - "id": "Semantics.SwarmAnalysis.resolveDomains", - "name": "resolveDomains", - "module": "Semantics.SwarmAnalysis" - }, - { - "kind": "def", - "id": "Semantics.SwarmAnalysis.resolveSubdomains", - "name": "resolveSubdomains", - "module": "Semantics.SwarmAnalysis" - }, - { - "kind": "def", - "id": "Semantics.SwarmAnalysis.resolveTensorTypes", - "name": "resolveTensorTypes", - "module": "Semantics.SwarmAnalysis" - }, - { - "kind": "def", - "id": "Semantics.SwarmAnalysis.deepCodebaseAnalysis", - "name": "deepCodebaseAnalysis", - "module": "Semantics.SwarmAnalysis" - }, - { - "kind": "def", - "id": "Semantics.SwarmAnalysis.createManifoldStructure", - "name": "createManifoldStructure", - "module": "Semantics.SwarmAnalysis" - }, - { - "kind": "def", - "id": "Semantics.SwarmAnalysis.deepCodebaseAnalysisWithManifold", - "name": "deepCodebaseAnalysisWithManifold", - "module": "Semantics.SwarmAnalysis" - }, - { - "kind": "module", - "id": "Semantics.SwarmCodeGeneration", - "name": "SwarmCodeGeneration", - "path": "Semantics/SwarmCodeGeneration.lean", - "namespace": "Semantics.SwarmCodeGeneration", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team SwarmCodeGeneration.lean \u2014 Swarm-Driven Lean 4 Code Generation This module provides swarm-driven code generation for Lean 4, enabling automated synthesis of Lean 4 code from natural language specificat", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 13, - "struct_count": 11, - "inductive_count": 3, - "line_count": 345 - }, - { - "kind": "theorem", - "id": "Semantics.SwarmCodeGeneration.increment_increments", - "name": "increment_increments", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "theorem", - "id": "Semantics.SwarmCodeGeneration.sphere_euler_characteristic", - "name": "sphere_euler_characteristic", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "def", - "id": "Semantics.SwarmCodeGeneration.swarmSynthesizeLean4Counter", - "name": "swarmSynthesizeLean4Counter", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "def", - "id": "Semantics.SwarmCodeGeneration.generatedLean4Counter", - "name": "generatedLean4Counter", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "def", - "id": "Semantics.SwarmCodeGeneration.increment", - "name": "increment", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "def", - "id": "Semantics.SwarmCodeGeneration.swarmSynthesizeLean4GeometricPrimitive", - "name": "swarmSynthesizeLean4GeometricPrimitive", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "def", - "id": "Semantics.SwarmCodeGeneration.generatedLean4Sphere", - "name": "generatedLean4Sphere", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "def", - "id": "Semantics.SwarmCodeGeneration.eulerCharacteristic", - "name": "eulerCharacteristic", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "def", - "id": "Semantics.SwarmCodeGeneration.initializePipeline", - "name": "initializePipeline", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "def", - "id": "Semantics.SwarmCodeGeneration.advancePipeline", - "name": "advancePipeline", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "def", - "id": "Semantics.SwarmCodeGeneration.executePipelineStage", - "name": "executePipelineStage", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "def", - "id": "Semantics.SwarmCodeGeneration.runPipeline", - "name": "runPipeline", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "def", - "id": "Semantics.SwarmCodeGeneration.initializeSwarm", - "name": "initializeSwarm", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "def", - "id": "Semantics.SwarmCodeGeneration.sendMessage", - "name": "sendMessage", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "def", - "id": "Semantics.SwarmCodeGeneration.processMessages", - "name": "processMessages", - "module": "Semantics.SwarmCodeGeneration" - }, - { - "kind": "module", - "id": "Semantics.SwarmCodeReview", - "name": "SwarmCodeReview", - "path": "Semantics/SwarmCodeReview.lean", - "namespace": "Semantics.SwarmCodeReview", - 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"kind": "def", - "id": "Semantics.SwarmCodeReview.toNat", - "name": "toNat", - "module": "Semantics.SwarmCodeReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmCodeReview.exampleReport", - "name": "exampleReport", - "module": "Semantics.SwarmCodeReview" - }, - { - "kind": "module", - "id": "Semantics.SwarmCompetition", - "name": "SwarmCompetition", - "path": "Semantics/SwarmCompetition.lean", - "namespace": "Semantics.SwarmCompetition", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 1, - "struct_count": 7, - "inductive_count": 1, - "line_count": 74 - }, - { - "kind": "def", - "id": "Semantics.SwarmCompetition.runSampleCompetition", - "name": "runSampleCompetition", - "module": "Semantics.SwarmCompetition" - }, - { - "kind": "module", - "id": "Semantics.SwarmDesignReview", - "name": "SwarmDesignReview", - "path": "Semantics/SwarmDesignReview.lean", - "namespace": "Semantics.SwarmDesignReview", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team SwarmDesignReview.lean \u2014 Swarm-Based Design Review for Geometric Enhancement This module implements a swarm-based review system for compression designs, focusing on maximizing utilization of geometric ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 18, - "struct_count": 7, - "inductive_count": 2, - "line_count": 463 - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.analyzeCurvatureUtilization", - "name": "analyzeCurvatureUtilization", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.analyzeHierarchyEfficiency", - "name": "analyzeHierarchyEfficiency", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.analyzeMutationAdaptivity", - "name": "analyzeMutationAdaptivity", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.computeOverallGeometricScore", - "name": "computeOverallGeometricScore", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.curvatureAnalystAnalyze", - "name": "curvatureAnalystAnalyze", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.hierarchyOptimizerAnalyze", - "name": "hierarchyOptimizerAnalyze", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.mutationTunerAnalyze", - "name": "mutationTunerAnalyze", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.geometricReviewerAnalyze", - "name": "geometricReviewerAnalyze", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.analyzeOpcodeGeometricUtilization", - "name": "analyzeOpcodeGeometricUtilization", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.analyzeRegisterGeometricEfficiency", - "name": "analyzeRegisterGeometricEfficiency", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.isaAnalystAnalyze", - "name": "isaAnalystAnalyze", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.computeConsensus", - "name": "computeConsensus", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.aggregateFindings", - "name": "aggregateFindings", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.runAgentAnalysis", - "name": "runAgentAnalysis", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.runSwarmAnalysis", - "name": "runSwarmAnalysis", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.initializeSwarm", - "name": "initializeSwarm", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.runISASwarmAnalysis", - "name": "runISASwarmAnalysis", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "def", - "id": "Semantics.SwarmDesignReview.extractGeometricParams", - "name": "extractGeometricParams", - "module": "Semantics.SwarmDesignReview" - }, - { - "kind": "module", - "id": "Semantics.SwarmENEMiddleware", - "name": "SwarmENEMiddleware", - "path": "Semantics/SwarmENEMiddleware.lean", - "namespace": "Semantics.SwarmENEMiddleware", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team SwarmENEMiddleware.lean \u2014 Swarm ENE Middleware Routing Rules Replaces infra/swarm_ene_middleware.py routing logic with a formal Lean module. Defines swarm API-ENE middleware routing rules and semantic ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 1, - "def_count": 7, - "struct_count": 3, - "inductive_count": 0, - "line_count": 169 - }, - { - "kind": "theorem", - "id": "Semantics.SwarmENEMiddleware.hitCountIncreases", - "name": "hitCountIncreases", - "module": "Semantics.SwarmENEMiddleware" - }, - { - "kind": "def", - "id": "Semantics.SwarmENEMiddleware.zero", - "name": "zero", - "module": "Semantics.SwarmENEMiddleware" - }, - { - "kind": "def", - "id": "Semantics.SwarmENEMiddleware.one", - "name": "one", - "module": "Semantics.SwarmENEMiddleware" - }, - { - "kind": "def", - "id": "Semantics.SwarmENEMiddleware.ofFrac", - "name": "ofFrac", - "module": "Semantics.SwarmENEMiddleware" - }, - { - "kind": "def", - "id": "Semantics.SwarmENEMiddleware.cosineSimilarity", - "name": "cosineSimilarity", - "module": "Semantics.SwarmENEMiddleware" - }, - { - "kind": "def", - "id": "Semantics.SwarmENEMiddleware.isCacheValid", - "name": "isCacheValid", - "module": "Semantics.SwarmENEMiddleware" - }, - { - "kind": "def", - "id": "Semantics.SwarmENEMiddleware.incrementHitCount", - "name": "incrementHitCount", - "module": "Semantics.SwarmENEMiddleware" - }, - { - "kind": "def", - "id": "Semantics.SwarmENEMiddleware.makeRoutingDecision", - "name": "makeRoutingDecision", - "module": "Semantics.SwarmENEMiddleware" - }, - { - "kind": "module", - "id": "Semantics.SwarmMoERewiring", - "name": "SwarmMoERewiring", - "path": "Semantics/SwarmMoERewiring.lean", - "namespace": "Semantics.SwarmMoERewiring", - "doc": "SwarmMoERewiring.lean \u2014 Swarm-Driven MoE Expert Rewiring This module integrates the swarm competition system with the \u03b7MoE (Mixture-of-Experts) cognitive efficiency system to enable dynamic expert rewiring based on swarm performance metrics. Per AGENTS.md \u00a70: Lean is the source of truth. 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Authors: Research Stack Team SwarmQueryAPI.lean \u2014 Native Lean Swarm Query Interface Replaces tools/swarm_api.py (FastAPI/Python) with a pure Lean implementation that routes through the OmnidirectionalInterface + SubagentOrchestrat", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 12, - "struct_count": 5, - "inductive_count": 1, - "line_count": 255 - }, - { - "kind": "theorem", - "id": "Semantics.SwarmQueryAPI.handle_respects_limit", - "name": "handle_respects_limit", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "theorem", - "id": "Semantics.SwarmQueryAPI.handle_subset_of_filtered", - "name": "handle_subset_of_filtered", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "theorem", - "id": "Semantics.SwarmQueryAPI.lean_query_routes_to_mathdb", - "name": "lean_query_routes_to_mathdb", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "def", - "id": "Semantics.SwarmQueryAPI.QueryLimit", - "name": "QueryLimit", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "def", - "id": "Semantics.SwarmQueryAPI.SwarmQueryRequest", - "name": "SwarmQueryRequest", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "def", - "id": "Semantics.SwarmQueryAPI.getStats", - "name": "getStats", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "def", - "id": "Semantics.SwarmQueryAPI.chooseSubsystem", - "name": "chooseSubsystem", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "def", - "id": "Semantics.SwarmQueryAPI.serializeQuery", - "name": "serializeQuery", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "def", - "id": "Semantics.SwarmQueryAPI.toRoutedQuery", - "name": "toRoutedQuery", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "def", - "id": "Semantics.SwarmQueryAPI.confidenceFromResults", - "name": "confidenceFromResults", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "def", - "id": "Semantics.SwarmQueryAPI.generateSuggestions", - "name": "generateSuggestions", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "def", - "id": "Semantics.SwarmQueryAPI.applyFilters", - "name": "applyFilters", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "def", - "id": "Semantics.SwarmQueryAPI.applyLimit", - "name": "applyLimit", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "def", - "id": "Semantics.SwarmQueryAPI.handle", - "name": "handle", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "def", - "id": "Semantics.SwarmQueryAPI.runViaOrchestrator", - "name": "runViaOrchestrator", - "module": "Semantics.SwarmQueryAPI" - }, - { - "kind": "module", - "id": "Semantics.SwarmRGFlow", - "name": "SwarmRGFlow", - "path": "Semantics/SwarmRGFlow.lean", - "namespace": "Semantics.SwarmRGFlow", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team SwarmRGFlow.lean \u2014 RGFlow evaluation for swarm code filtering. Ported from Python scripts/rgflow_swarm_filter.py. All logic previously in Python now lives in Lean. 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Authors: Research Stack Team SyntheticGeneticCoding.lean \u2014 0D(n) Symbol-Coding Objects for GCL Surfaces This module treats all coding systems as purely information-theoretic 0D(n) discrete objects: finite-length strings over finit", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 30, - "struct_count": 15, - "inductive_count": 7, - "line_count": 605 - }, - { - "kind": "theorem", - "id": "Semantics.SyntheticGeneticCoding.block512vs64", - "name": "block512vs64", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "theorem", - "id": "Semantics.SyntheticGeneticCoding.block256vs64", - "name": "block256vs64", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.projectRatioToCodingQ", - "name": "projectRatioToCodingQ", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.codeSpaceSize", - "name": "codeSpaceSize", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.code64", - "name": "code64", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.code512", - "name": "code512", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.code256", - "name": "code256", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.codeByte", - "name": "codeByte", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.normalizedCapacity", - "name": "normalizedCapacity", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.cap4", - "name": "cap4", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.cap8", - "name": "cap8", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.cap2", - "name": "cap2", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.cap16", - "name": "cap16", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.highStabilityChannel", - "name": "highStabilityChannel", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.flexibleChannel", - "name": "flexibleChannel", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.neutralChannel", - "name": "neutralChannel", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.standardCodeSystem", - "name": "standardCodeSystem", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.extendedCodeSystem", - "name": "extendedCodeSystem", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.expanded512CodeSystem", - "name": "expanded512CodeSystem", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.compressionPotential", - "name": "compressionPotential", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.channelStabilityScore", - "name": "channelStabilityScore", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "def", - "id": "Semantics.SyntheticGeneticCoding.blockOptimizationScore", - "name": "blockOptimizationScore", - "module": "Semantics.SyntheticGeneticCoding" - }, - { - "kind": "module", - "id": "Semantics.TMMCP.Compression", - "name": "Compression", - "path": "Semantics/TMMCP/Compression.lean", - "namespace": "Semantics.TMMCP", - "doc": "TMMCP Compression Pipeline: 6-stage invariant-preserving compression. 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Every channel input reduces to one of these canonical atom types, which carry modality-specific invariants through the compression pipeline.", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 11, - "struct_count": 11, - "inductive_count": 12, - "line_count": 455 - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Core.precisionTier", - "name": "precisionTier", - "module": "Semantics.TMMCP.Core" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Core.compressionTarget", - "name": "compressionTarget", - "module": "Semantics.TMMCP.Core" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Core.channelType", - "name": "channelType", - "module": "Semantics.TMMCP.Core" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Core.timestamp", - "name": "timestamp", - "module": "Semantics.TMMCP.Core" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Core.priority", - "name": "priority", - "module": "Semantics.TMMCP.Core" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Core.absolute", - "name": "absolute", - "module": "Semantics.TMMCP.Core" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Core.byteSize", - "name": "byteSize", - "module": "Semantics.TMMCP.Core" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Core.estimatedSize", - "name": "estimatedSize", - "module": "Semantics.TMMCP.Core" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Core.requiredTrustScore", - "name": "requiredTrustScore", - "module": "Semantics.TMMCP.Core" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Core.memoryRequirementKb", - "name": "memoryRequirementKb", - "module": "Semantics.TMMCP.Core" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Core.totalCost", - "name": "totalCost", - "module": "Semantics.TMMCP.Core" - }, - { - "kind": "module", - "id": "Semantics.TMMCP.Routing", - "name": "Routing", - "path": "Semantics/TMMCP/Routing.lean", - "namespace": "Semantics.TMMCP", - "doc": "TMMCP Routing: Morphic Neural Network (MNN) style router. The router selects among: LocalProcess, GlobalRoute, Reject, Recover, Attest, Defer based on goal, node state, carrier metrics, and packet constraints. All decisions use fixed-point arithmetic (Q0_16 for normalized costs/trust).", - "math_kind": "routing", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 5, - "struct_count": 1, - "inductive_count": 0, - "line_count": 150 - }, - { - "kind": "theorem", - "id": "Semantics.TMMCP.Routing.localRoutingSelected", - "name": "localRoutingSelected", - "module": "Semantics.TMMCP.Routing" - }, - { - "kind": "theorem", - "id": "Semantics.TMMCP.Routing.routingCostNonNegative", - "name": "routingCostNonNegative", - "module": "Semantics.TMMCP.Routing" - }, - { - "kind": "theorem", - "id": "Semantics.TMMCP.Routing.deferFallback_witness", - "name": "deferFallback_witness", - "module": "Semantics.TMMCP.Routing" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Routing.defaultRouter", - "name": "defaultRouter", - "module": "Semantics.TMMCP.Routing" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Routing.canSatisfyLocally", - "name": "canSatisfyLocally", - "module": "Semantics.TMMCP.Routing" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Routing.computeCost", - "name": "computeCost", - "module": "Semantics.TMMCP.Routing" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Routing.applyMorphicWeights", - "name": "applyMorphicWeights", - "module": "Semantics.TMMCP.Routing" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Routing.route", - "name": "route", - "module": "Semantics.TMMCP.Routing" - }, - { - "kind": "module", - "id": "Semantics.TMMCP.Verification", - "name": "Verification", - "path": "Semantics/TMMCP/Verification.lean", - "namespace": "Semantics.TMMCP", - "doc": "TMMCP Verification Invariants: formal properties of the compression protocol. Invariants are classified by proof status: Implemented: Proven or checked in Lean Specification: Formal spec exists, proof WIP Hypothesis: Theoretical, not yet formalized Unverified: Known limitation with safety bounds", - "math_kind": "rrc", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 13, - "struct_count": 6, - "inductive_count": 1, - "line_count": 297 - }, - { - "kind": "theorem", - "id": "Semantics.TMMCP.Verification.compressionTargetValid", - "name": "compressionTargetValid", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "theorem", - "id": "Semantics.TMMCP.Verification.reconstructionErrorSymmetric", - "name": "reconstructionErrorSymmetric", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "theorem", - "id": "Semantics.TMMCP.Verification.timingWindowReflexive", - "name": "timingWindowReflexive", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "theorem", - "id": "Semantics.TMMCP.Verification.channelIntegrityReflexive", - "name": "channelIntegrityReflexive", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "theorem", - "id": "Semantics.TMMCP.Verification.receiptIntegrityDetectsTampering", - "name": "receiptIntegrityDetectsTampering", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Verification.compressionRatioInvariant", - "name": "compressionRatioInvariant", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Verification.reconstructionErrorInvariant", - "name": "reconstructionErrorInvariant", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Verification.timingAdmissibilityInvariant", - "name": "timingAdmissibilityInvariant", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Verification.phaseAlignmentInvariant", - "name": "phaseAlignmentInvariant", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Verification.channelConsistencyInvariant", - "name": "channelConsistencyInvariant", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Verification.routingTerminationInvariant", - "name": "routingTerminationInvariant", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Verification.fixedPointDeterminismInvariant", - "name": "fixedPointDeterminismInvariant", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Verification.allPassed", - "name": "allPassed", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Verification.integrityHash", - "name": "integrityHash", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Verification.generateReceipt", - "name": "generateReceipt", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Verification.serializePacket", - "name": "serializePacket", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Verification.invariantRegistry", - "name": "invariantRegistry", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "def", - "id": "Semantics.TMMCP.Verification.findInvariant", - "name": "findInvariant", - "module": "Semantics.TMMCP.Verification" - }, - { - "kind": "module", - "id": "Semantics.TSMEfficiency", - "name": "TSMEfficiency", - "path": "Semantics/TSMEfficiency.lean", - "namespace": "Semantics.TSMEfficiency", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team TSMEfficiency.lean \u2014 TSM Swarm Efficiency Optimization Replaces scripts/tsm_swarm_efficiency_optimization.py with a formal Lean module that defines swarm agents for TSM efficiency optimization at 50% c", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 12, - "struct_count": 8, - "inductive_count": 1, - "line_count": 339 - }, - { - "kind": "def", - "id": "Semantics.TSMEfficiency.zero", - "name": "zero", - "module": "Semantics.TSMEfficiency" - }, - { - "kind": "def", - "id": "Semantics.TSMEfficiency.one", - "name": "one", - "module": "Semantics.TSMEfficiency" - }, - { - "kind": "def", - "id": "Semantics.TSMEfficiency.ofNat", - "name": "ofNat", - "module": "Semantics.TSMEfficiency" - }, - { - "kind": "def", - "id": "Semantics.TSMEfficiency.toNat", - "name": "toNat", - "module": "Semantics.TSMEfficiency" - }, - { - "kind": "def", - "id": "Semantics.TSMEfficiency.ofFrac", - "name": "ofFrac", - "module": "Semantics.TSMEfficiency" - }, - { - "kind": "def", - "id": "Semantics.TSMEfficiency.fiftyPercentTSMCapacity", - "name": "fiftyPercentTSMCapacity", - "module": "Semantics.TSMEfficiency" - }, - { - "kind": "def", - "id": "Semantics.TSMEfficiency.improvementRange", - "name": "improvementRange", - "module": "Semantics.TSMEfficiency" - }, - { - "kind": "def", - "id": "Semantics.TSMEfficiency.simulateOptimization", - "name": "simulateOptimization", - "module": "Semantics.TSMEfficiency" - }, - { - "kind": "def", - "id": "Semantics.TSMEfficiency.spawnAgents", - "name": "spawnAgents", - "module": "Semantics.TSMEfficiency" - }, - { - "kind": "def", - "id": "Semantics.TSMEfficiency.runParallelOptimization", - "name": "runParallelOptimization", - "module": "Semantics.TSMEfficiency" - }, - { - "kind": "def", - "id": "Semantics.TSMEfficiency.analyzeImpact", - "name": "analyzeImpact", - "module": "Semantics.TSMEfficiency" - }, - { - "kind": "def", - "id": "Semantics.TSMEfficiency.runFullSimulation", - "name": "runFullSimulation", - "module": "Semantics.TSMEfficiency" - }, - { - "kind": "module", - "id": "Semantics.Tactics", - "name": "Tactics", - "path": "Semantics/Tactics.lean", - "namespace": "Semantics.Tactics", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team Tactics.lean \u2014 Custom proof automation for the Sovereign Informatic Manifold", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 0, - "struct_count": 0, - "inductive_count": 0, - "line_count": 22 - }, - { - "kind": "module", - "id": "Semantics.Tape", - "name": "Tape", - "path": "Semantics/Tape.lean", - "namespace": "Semantics.Tape", - "doc": "structure UInt128 where hi : UInt64 lo : UInt64 deriving Repr, BEq, DecidableEq, Inhabited namespace UInt128 def zero : UInt128 := \u27e80, 0\u27e9 def and (a b : UInt128) : UInt128 := \u27e8a.hi &&& b.hi, a.lo &&& b.lo\u27e9 instance : AndOp UInt128 := \u27e8and\u27e9 end UInt128 /-! # Topological Tape Machine Ported from `in", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 28, - "struct_count": 9, - "inductive_count": 2, - "line_count": 353 - }, - { - "kind": "def", - "id": "Semantics.Tape.zero", - "name": "zero", - "module": "Semantics.Tape" - }, - { - "kind": "def", - "id": "Semantics.Tape.and", - "name": "and", - "module": "Semantics.Tape" - }, - { - "kind": "def", - "id": "Semantics.Tape.toMask", - "name": "toMask", - "module": "Semantics.Tape" - }, - { - "kind": "def", - "id": "Semantics.Tape.survives", - "name": "survives", - "module": "Semantics.Tape" - }, - { - "kind": "def", - "id": "Semantics.Tape.empty", - "name": "empty", - "module": "Semantics.Tape" - }, - { - "kind": "def", - "id": "Semantics.Tape.append", - "name": "append", - "module": "Semantics.Tape" - }, - { - "kind": "def", - "id": "Semantics.Tape.lastCommitment", - "name": "lastCommitment", - "module": "Semantics.Tape" - }, - { - "kind": "def", - "id": "Semantics.Tape.isValid", - "name": "isValid", - "module": "Semantics.Tape" - }, - { - "kind": "def", - "id": "Semantics.Tape.default", - "name": "default", - "module": "Semantics.Tape" - }, - { - "kind": "def", - "id": "Semantics.Tape.isStable", - "name": "isStable", - "module": "Semantics.Tape" - }, - { - 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Authors: Research Stack Team DeltaGCLBenchmark.lean \u2014 Delta GCL Compression Benchmark This module provides benchmark measurements for delta GCL compression against standard codecs with SI compression ratios, corpus provenance, and", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 9, - "struct_count": 2, - "inductive_count": 0, - "line_count": 222 - }, - { - "kind": "theorem", - "id": "Semantics.Testing.DeltaGCLBenchmark.deltaGCLSizeConstant", - "name": "deltaGCLSizeConstant", - "module": "Semantics.Testing.DeltaGCLBenchmark" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.DeltaGCLBenchmark.baselineGCLSizeConstant", - "name": "baselineGCLSizeConstant", - "module": "Semantics.Testing.DeltaGCLBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.DeltaGCLBenchmark.compressionRatio", - "name": "compressionRatio", - "module": "Semantics.Testing.DeltaGCLBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.DeltaGCLBenchmark.reductionPercent", - "name": "reductionPercent", - "module": "Semantics.Testing.DeltaGCLBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.DeltaGCLBenchmark.deltaGCLSize", - "name": "deltaGCLSize", - "module": "Semantics.Testing.DeltaGCLBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.DeltaGCLBenchmark.baselineGCLSize", - "name": "baselineGCLSize", - "module": "Semantics.Testing.DeltaGCLBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.DeltaGCLBenchmark.benchmarkDeltaGCL", - "name": "benchmarkDeltaGCL", - "module": "Semantics.Testing.DeltaGCLBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.DeltaGCLBenchmark.measureLeanCorpus", - "name": "measureLeanCorpus", - "module": "Semantics.Testing.DeltaGCLBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.DeltaGCLBenchmark.leanCorpusProvenance", - "name": "leanCorpusProvenance", - "module": "Semantics.Testing.DeltaGCLBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.DeltaGCLBenchmark.actualCorpusCompression", - "name": "actualCorpusCompression", - "module": "Semantics.Testing.DeltaGCLBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.DeltaGCLBenchmark.benchmarkSummary", - "name": "benchmarkSummary", - "module": "Semantics.Testing.DeltaGCLBenchmark" - }, - { - "kind": "module", - "id": "Semantics.Testing.ErdosHarness", - "name": "ErdosHarness", - "path": "Semantics/Testing/ErdosHarness.lean", - "namespace": "Semantics.Testing.ErdosHarness", - "doc": "ErdosHarness.lean A finite, executable harness for Erd\u0151s-style four-primitive experiments. The point of this file is deliberately modest: it does not prove the Erd\u0151s-Gy\u00e1rf\u00e1s or Erd\u0151s-Selfridge conjectures. 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Authors: Research Stack Team FixedPointTest.lean \u2014 Unit Tests for Q16.16 Fixed-Point Arithmetic", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 12, - "def_count": 0, - "struct_count": 0, - "inductive_count": 0, - "line_count": 73 - }, - { - "kind": "theorem", - "id": "Semantics.Testing.FixedPointTest.test_ofInt_one", - "name": "test_ofInt_one", - "module": "Semantics.Testing.FixedPointTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.FixedPointTest.test_ofRatio_one", - "name": "test_ofRatio_one", - "module": "Semantics.Testing.FixedPointTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.FixedPointTest.test_ofRatio_half", - "name": "test_ofRatio_half", - "module": "Semantics.Testing.FixedPointTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.FixedPointTest.test_ofInt_120", - "name": "test_ofInt_120", - "module": "Semantics.Testing.FixedPointTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.FixedPointTest.test_add_one_one", - "name": "test_add_one_one", - "module": "Semantics.Testing.FixedPointTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.FixedPointTest.test_mul_one_two", - "name": "test_mul_one_two", - "module": "Semantics.Testing.FixedPointTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.FixedPointTest.test_mul_half_half", - "name": "test_mul_half_half", - "module": "Semantics.Testing.FixedPointTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.FixedPointTest.test_add_overflow", - "name": "test_add_overflow", - "module": "Semantics.Testing.FixedPointTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.FixedPointTest.test_add_underflow", - "name": "test_add_underflow", - "module": "Semantics.Testing.FixedPointTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.FixedPointTest.test_toInt_one", - "name": "test_toInt_one", - "module": "Semantics.Testing.FixedPointTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.FixedPointTest.test_toInt_neg_one", - "name": "test_toInt_neg_one", - "module": "Semantics.Testing.FixedPointTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.FixedPointTest.test_toInt_zero", - "name": "test_toInt_zero", - "module": "Semantics.Testing.FixedPointTest" - }, - { - "kind": "module", - "id": "Semantics.Testing.FlatLimitTest", - "name": "FlatLimitTest", - "path": "Semantics/Testing/FlatLimitTest.lean", - "namespace": "Semantics.ManifoldNetworking", - "doc": "structure FlatLimitQuestion where description : String curvature : Semantics.Q16_16 torsion : Semantics.Q16_16 pathCount : Nat expectedBehavior : String deriving Repr structure FlatLimitResult where question : FlatLimitQuestion actualBehavior : String passed : Bool deriving Repr /-- Flat limit qui", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 2, - "inductive_count": 0, - "line_count": 67 - }, - { - "kind": "def", - "id": "Semantics.Testing.FlatLimitTest.flatLimitQuizBank", - "name": "flatLimitQuizBank", - "module": "Semantics.Testing.FlatLimitTest" - }, - { - "kind": "def", - "id": "Semantics.Testing.FlatLimitTest.runFlatLimitQuiz", - "name": "runFlatLimitQuiz", - "module": "Semantics.Testing.FlatLimitTest" - }, - { - "kind": "def", - "id": "Semantics.Testing.FlatLimitTest.testFlatManifoldReduction", - "name": "testFlatManifoldReduction", - "module": "Semantics.Testing.FlatLimitTest" - }, - { - "kind": "module", - "id": "Semantics.Testing.GeneticGroundUpBenchmark", - "name": "GeneticGroundUpBenchmark", - "path": "Semantics/Testing/GeneticGroundUpBenchmark.lean", - "namespace": "Semantics.GeneticGroundUpBenchmark", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GeneticGroundUpBenchmark.lean \u2014 Toy Cost Model for Asymptotic Justification IMPORTANT SCOPE AND LIMITATIONS: This module is a SYMBOLIC COST MODEL, not an empirical benchmark. What this module IS: Arit", - "math_kind": "analysis", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 11, - "struct_count": 0, - "inductive_count": 0, - "line_count": 192 - }, - { - "kind": "def", - "id": "Semantics.Testing.GeneticGroundUpBenchmark.interpretedExpressionCost", - "name": "interpretedExpressionCost", - "module": "Semantics.Testing.GeneticGroundUpBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.GeneticGroundUpBenchmark.compiledExpressionCost", - "name": "compiledExpressionCost", - "module": "Semantics.Testing.GeneticGroundUpBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.GeneticGroundUpBenchmark.mdSimulationCost", - "name": "mdSimulationCost", - "module": "Semantics.Testing.GeneticGroundUpBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.GeneticGroundUpBenchmark.manifoldFoldingCost", - "name": "manifoldFoldingCost", - "module": "Semantics.Testing.GeneticGroundUpBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.GeneticGroundUpBenchmark.discreteMetabolicCost", - "name": "discreteMetabolicCost", - "module": "Semantics.Testing.GeneticGroundUpBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.GeneticGroundUpBenchmark.gnnMetabolicCost", - "name": "gnnMetabolicCost", - "module": "Semantics.Testing.GeneticGroundUpBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.GeneticGroundUpBenchmark.generationalEvolutionCost", - "name": "generationalEvolutionCost", - "module": "Semantics.Testing.GeneticGroundUpBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.GeneticGroundUpBenchmark.gradientEvolutionCost", - "name": "gradientEvolutionCost", - "module": "Semantics.Testing.GeneticGroundUpBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.GeneticGroundUpBenchmark.oldTotalCost", - "name": "oldTotalCost", - "module": "Semantics.Testing.GeneticGroundUpBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.GeneticGroundUpBenchmark.newTotalCost", - "name": "newTotalCost", - "module": "Semantics.Testing.GeneticGroundUpBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.GeneticGroundUpBenchmark.moduleSummary", - "name": "moduleSummary", - "module": "Semantics.Testing.GeneticGroundUpBenchmark" - }, - { - "kind": "module", - "id": "Semantics.Testing.GeneticGroundUpTest", - "name": "GeneticGroundUpTest", - "path": "Semantics/Testing/GeneticGroundUpTest.lean", - "namespace": "Semantics.GeneticGroundUp.Test", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team GeneticGroundUpTest.lean \u2014 Unit Tests for the Genetic System Core", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 9, - "def_count": 3, - "struct_count": 0, - "inductive_count": 0, - "line_count": 127 - }, - { - "kind": "theorem", - "id": "Semantics.Testing.GeneticGroundUpTest.test_expression_probs", - "name": "test_expression_probs", - "module": "Semantics.Testing.GeneticGroundUpTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.GeneticGroundUpTest.test_fold_angles", - "name": "test_fold_angles", - "module": "Semantics.Testing.GeneticGroundUpTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.GeneticGroundUpTest.test_prob_amp_sq", - "name": "test_prob_amp_sq", - "module": "Semantics.Testing.GeneticGroundUpTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.GeneticGroundUpTest.test_information_content", - "name": "test_information_content", - "module": "Semantics.Testing.GeneticGroundUpTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.GeneticGroundUpTest.test_is_recent", - "name": "test_is_recent", - "module": "Semantics.Testing.GeneticGroundUpTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.GeneticGroundUpTest.test_target_fold_time", - "name": "test_target_fold_time", - "module": "Semantics.Testing.GeneticGroundUpTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.GeneticGroundUpTest.test_achieved_target_speed", - "name": "test_achieved_target_speed", - "module": "Semantics.Testing.GeneticGroundUpTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.GeneticGroundUpTest.test_is_stable", - "name": "test_is_stable", - "module": "Semantics.Testing.GeneticGroundUpTest" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.GeneticGroundUpTest.test_speedup_target", - "name": "test_speedup_target", - "module": "Semantics.Testing.GeneticGroundUpTest" - }, - { - "kind": "def", - "id": "Semantics.Testing.GeneticGroundUpTest.exampleQB", - "name": "exampleQB", - "module": "Semantics.Testing.GeneticGroundUpTest" - }, - { - "kind": "def", - "id": "Semantics.Testing.GeneticGroundUpTest.exampleGK", - "name": "exampleGK", - "module": "Semantics.Testing.GeneticGroundUpTest" - }, - { - "kind": "def", - "id": "Semantics.Testing.GeneticGroundUpTest.examplePFS", - "name": "examplePFS", - "module": "Semantics.Testing.GeneticGroundUpTest" - }, - { - "kind": "module", - "id": "Semantics.Testing.HutterPrizeFlowTest", - "name": "HutterPrizeFlowTest", - "path": "Semantics/Testing/HutterPrizeFlowTest.lean", - "namespace": "Semantics.HutterPrizeFlowTest", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team HutterPrizeFlowTest.lean \u2014 Test HutterPrizeFlow against Hutter Prize Rules Tests the HutterPrizeFlow module against the Hutter Prize requirements: 1. 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This module benchmarks: 1. ENE Fractal Encoding search performance (target: 8.5x) 2. Golden Spir", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 33, - "struct_count": 1, - "inductive_count": 0, - "line_count": 363 - }, - { - "kind": "theorem", - "id": "Semantics.Testing.MOIMBenchmark.uplift_positive", - "name": "uplift_positive", - "module": "Semantics.Testing.MOIMBenchmark" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.MOIMBenchmark.overall_uplift_is_geometric_mean", - "name": "overall_uplift_is_geometric_mean", - "module": "Semantics.Testing.MOIMBenchmark" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.MOIMBenchmark.success_count_le_total", - "name": "success_count_le_total", - "module": "Semantics.Testing.MOIMBenchmark" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.MOIMBenchmark.runAllBenchmarks_all_success", - "name": "runAllBenchmarks_all_success", - "module": "Semantics.Testing.MOIMBenchmark" - }, - { - "kind": "theorem", - "id": "Semantics.Testing.MOIMBenchmark.runAllBenchmarks_meets_overall_target", - 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Authors: Research Stack Team VirtualGPUBenchmark.lean \u2014 Virtual GPU Real-World Benchmark Replaces scripts/virtual_gpu_real_benchmark_fast.py with a formal Lean module that defines benchmark structures and efficiency calculations. ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 10, - "struct_count": 4, - "inductive_count": 1, - "line_count": 210 - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUBenchmark.zero", - "name": "zero", - "module": "Semantics.Testing.VirtualGPUBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUBenchmark.one", - "name": "one", - "module": "Semantics.Testing.VirtualGPUBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUBenchmark.ofNat", - "name": "ofNat", - "module": "Semantics.Testing.VirtualGPUBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUBenchmark.toNat", - "name": "toNat", - "module": "Semantics.Testing.VirtualGPUBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUBenchmark.ofFrac", - "name": "ofFrac", - "module": "Semantics.Testing.VirtualGPUBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUBenchmark.getBenchmarkBaseline", - "name": "getBenchmarkBaseline", - "module": "Semantics.Testing.VirtualGPUBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUBenchmark.calculateEfficiency", - "name": "calculateEfficiency", - "module": "Semantics.Testing.VirtualGPUBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUBenchmark.calculateDistributedResult", - "name": "calculateDistributedResult", - "module": "Semantics.Testing.VirtualGPUBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUBenchmark.createBenchmarkResult", - "name": "createBenchmarkResult", - "module": "Semantics.Testing.VirtualGPUBenchmark" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUBenchmark.calculateBenchmarkSummary", - "name": "calculateBenchmarkSummary", - "module": "Semantics.Testing.VirtualGPUBenchmark" - }, - { - "kind": "module", - "id": "Semantics.Testing.VirtualGPUTestbench", - "name": "VirtualGPUTestbench", - "path": "Semantics/Testing/VirtualGPUTestbench.lean", - "namespace": "Semantics.VirtualGPUTestbench", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team VirtualGPUTestbench.lean \u2014 Virtual GPU Real-World Performance Testbench Replaces scripts/virtual_gpu_testbench.py with a formal Lean module that defines benchmark structures and calculations for virtua", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 17, - "struct_count": 3, - "inductive_count": 1, - "line_count": 217 - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.zero", - "name": "zero", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.one", - "name": "one", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.ofNat", - "name": "ofNat", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.toNat", - "name": "toNat", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.ofFrac", - "name": "ofFrac", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.calculateEffectiveBandwidth", - "name": "calculateEffectiveBandwidth", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.calculateBandwidth", - "name": "calculateBandwidth", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.calculateCompressionRatio", - "name": "calculateCompressionRatio", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.targetBindCompressionRatio", - "name": "targetBindCompressionRatio", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.calculateDistributedLatency", - "name": "calculateDistributedLatency", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.calculateThroughput", - "name": "calculateThroughput", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.targetInferenceThroughput", - "name": "targetInferenceThroughput", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.calculateCurvatureEfficiency", - "name": "calculateCurvatureEfficiency", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.calculateTriumvirateOverhead", - "name": "calculateTriumvirateOverhead", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.standardTriumvirateTimes", - "name": "standardTriumvirateTimes", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.calculateExpansionAnalysis", - "name": "calculateExpansionAnalysis", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.VirtualGPUTestbench.createBenchmarkResult", - "name": "createBenchmarkResult", - "module": "Semantics.Testing.VirtualGPUTestbench" - }, - { - "kind": "module", - "id": "Semantics.Testing.WorkloadTestbench", - "name": "WorkloadTestbench", - "path": "Semantics/Testing/WorkloadTestbench.lean", - "namespace": "Semantics.WorkloadTestbench", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team WorkloadTestbench.lean \u2014 Virtual GPU Workload Simulation Testbench Replaces scripts/virtual_gpu_workload_testbench.py with a formal Lean module that defines workload simulation structures and calculati", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 13, - "struct_count": 9, - "inductive_count": 1, - "line_count": 252 - }, - { - "kind": "def", - "id": "Semantics.Testing.WorkloadTestbench.zero", - "name": "zero", - "module": "Semantics.Testing.WorkloadTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.WorkloadTestbench.one", - "name": "one", - "module": "Semantics.Testing.WorkloadTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.WorkloadTestbench.ofNat", - "name": "ofNat", - "module": "Semantics.Testing.WorkloadTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.WorkloadTestbench.toNat", - "name": "toNat", - "module": "Semantics.Testing.WorkloadTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.WorkloadTestbench.ofFrac", - "name": "ofFrac", - "module": "Semantics.Testing.WorkloadTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.WorkloadTestbench.calculateMSAMemory", - "name": "calculateMSAMemory", - "module": "Semantics.Testing.WorkloadTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.WorkloadTestbench.calculatePairMemory", - "name": "calculatePairMemory", - "module": "Semantics.Testing.WorkloadTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.WorkloadTestbench.calculateMDMemory", - "name": "calculateMDMemory", - "module": "Semantics.Testing.WorkloadTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.WorkloadTestbench.calculateNNMemory", - "name": "calculateNNMemory", - "module": "Semantics.Testing.WorkloadTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.WorkloadTestbench.createProteinFoldingResult", - "name": "createProteinFoldingResult", - "module": "Semantics.Testing.WorkloadTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.WorkloadTestbench.createMDResult", - "name": "createMDResult", - "module": "Semantics.Testing.WorkloadTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.WorkloadTestbench.createNNTrainingResult", - "name": "createNNTrainingResult", - "module": "Semantics.Testing.WorkloadTestbench" - }, - { - "kind": "def", - "id": "Semantics.Testing.WorkloadTestbench.calculateTestbenchSummary", - "name": "calculateTestbenchSummary", - "module": "Semantics.Testing.WorkloadTestbench" - }, - { - "kind": "module", - "id": "Semantics.Testing.ZKBenchmarkCapsule", - "name": "ZKBenchmarkCapsule", - "path": "Semantics/Testing/ZKBenchmarkCapsule.lean", - "namespace": "Semantics", - "doc": "structure ZKBenchmarkCapsule where publicInputHash : String privateTransformHash : String publicOutputCommitment : String verifier : String constraintProof : String receiptRoot : String deriving Repr /-- ZK claim shape: Given public input, there exists private transform satisfying constraints.", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 2, - "inductive_count": 0, - "line_count": 59 - }, - { - "kind": "def", - "id": "Semantics.Testing.ZKBenchmarkCapsule.verifyZKClaim", - "name": "verifyZKClaim", - "module": "Semantics.Testing.ZKBenchmarkCapsule" - }, - { - "kind": "def", - "id": "Semantics.Testing.ZKBenchmarkCapsule.createOpenWormZKCapsule", - "name": "createOpenWormZKCapsule", - "module": "Semantics.Testing.ZKBenchmarkCapsule" - }, - { - "kind": "def", - "id": "Semantics.Testing.ZKBenchmarkCapsule.openWormZKClaim", - "name": "openWormZKClaim", - "module": "Semantics.Testing.ZKBenchmarkCapsule" - }, - { - "kind": "def", - "id": "Semantics.Testing.ZKBenchmarkCapsule.verifyOpenWormZKClaim", - "name": "verifyOpenWormZKClaim", - "module": "Semantics.Testing.ZKBenchmarkCapsule" - }, - { - "kind": "def", - "id": "Semantics.Testing.ZKBenchmarkCapsule.zkPrivacyConstraint", - "name": "zkPrivacyConstraint", - "module": "Semantics.Testing.ZKBenchmarkCapsule" - }, - { - "kind": "module", - "id": "Semantics.ThermodynamicSort", - "name": "ThermodynamicSort", - "path": "Semantics/ThermodynamicSort.lean", - "namespace": "Semantics.ThermodynamicSort", - "doc": "Thermodynamic Flag: A physically grounded partition of the research manifold.", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 5, - "struct_count": 0, - "inductive_count": 1, - "line_count": 53 - }, - { - "kind": "def", - "id": "Semantics.ThermodynamicSort.dissipativeThreshold", - "name": "dissipativeThreshold", - "module": "Semantics.ThermodynamicSort" - }, - { - "kind": "def", - "id": "Semantics.ThermodynamicSort.landauerThreshold", - "name": "landauerThreshold", - "module": "Semantics.ThermodynamicSort" - }, - { - "kind": "def", - "id": "Semantics.ThermodynamicSort.getThermoFlag", - "name": "getThermoFlag", - "module": "Semantics.ThermodynamicSort" - }, - { - "kind": "def", - "id": "Semantics.ThermodynamicSort.isLawfulThermoSort", - "name": "isLawfulThermoSort", - "module": "Semantics.ThermodynamicSort" - }, - { - "kind": "def", - "id": "Semantics.ThermodynamicSort.thermoBind", - "name": "thermoBind", - "module": "Semantics.ThermodynamicSort" - }, - { - "kind": "module", - "id": "Semantics.ThresholdVector", - "name": "ThresholdVector", - "path": "Semantics/ThresholdVector.lean", - "namespace": "Semantics.ThresholdVector", - "doc": "ThresholdVector.lean \u2014 The threshold activation vector for boundary physics. A boundary is not where a system ends. A boundary is where accumulated encoded states become physically active. The threshold vector Theta_i gates the regime transitions that determine which physics are active at a given b", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 15, - "def_count": 17, - "struct_count": 3, - "inductive_count": 2, - "line_count": 386 - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.zero_state_is_latent", - "name": "zero_state_is_latent", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.full_state_with_stress_weights_is_active", - "name": "full_state_with_stress_weights_is_active", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.stress_state_is_smooth", - "name": "stress_state_is_smooth", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.stress_coupling_is_turbulent", - "name": "stress_coupling_is_turbulent", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.residual_only_is_diverging", - "name": "residual_only_is_diverging", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.all_but_residual_is_active", - "name": "all_but_residual_is_active", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.zero_state_is_grounded", - "name": "zero_state_is_grounded", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.full_active_state_is_flame", - "name": "full_active_state_is_flame", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.zero_state_not_critical", - "name": "zero_state_not_critical", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.full_state_is_critical", - "name": "full_state_is_critical", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.threshold_crossed_gt_works", - "name": "threshold_crossed_gt_works", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.threshold_crossed_lt_works", - "name": "threshold_crossed_lt_works", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.total_activation_zero_state_is_zero", - "name": "total_activation_zero_state_is_zero", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.total_activation_full_state_nonzero", - "name": "total_activation_full_state_nonzero", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "theorem", - "id": "Semantics.ThresholdVector.stress_dominant_gt_uniform_on_stress_state", - "name": "stress_dominant_gt_uniform_on_stress_state", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.criticalActivationThreshold", - "name": "criticalActivationThreshold", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.defaultThresholds", - "name": "defaultThresholds", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.uniformWeights", - "name": "uniformWeights", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.stressDominantWeights", - "name": "stressDominantWeights", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.couplingDominantWeights", - "name": "couplingDominantWeights", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.thresholdCrossed", - "name": "thresholdCrossed", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.activationExcess", - "name": "activationExcess", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.totalActivation", - "name": "totalActivation", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.isCriticallyActivated", - "name": "isCriticallyActivated", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.evaluateActivation", - "name": "evaluateActivation", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.verdictToRegime", - "name": "verdictToRegime", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.zeroActivationState", - "name": "zeroActivationState", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.fullActivationState", - "name": "fullActivationState", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.stressOnlyState", - "name": "stressOnlyState", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.approachingIgnitionState", - "name": "approachingIgnitionState", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.allButResidualState", - "name": "allButResidualState", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "def", - "id": "Semantics.ThresholdVector.residualOnlyState", - "name": "residualOnlyState", - "module": "Semantics.ThresholdVector" - }, - { - "kind": "module", - "id": "Semantics.TileFlipConsensus", - "name": "TileFlipConsensus", - "path": "Semantics/TileFlipConsensus.lean", - "namespace": "Semantics.TileFlipConsensus", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team TileFlipConsensus.lean \u2014 Raft-like Consensus for Tile Flip Operations Defines Raft-like consensus mechanism for the Gossip-DAG-QR-Go protocol (MATH_MODEL_MAP 0.4.10). Manages distributed consensus for ", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 13, - "struct_count": 4, - "inductive_count": 1, - "line_count": 238 - }, - { - "kind": "theorem", - "id": "Semantics.TileFlipConsensus.countVotesNonNegative", - "name": "countVotesNonNegative", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "theorem", - "id": "Semantics.TileFlipConsensus.hasTwoThirdsMajorityImpliesSufficientVotes", - "name": "hasTwoThirdsMajorityImpliesSufficientVotes", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "theorem", - "id": "Semantics.TileFlipConsensus.transitionToVotingChangesPhase", - "name": "transitionToVotingChangesPhase", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "theorem", - "id": "Semantics.TileFlipConsensus.addVoteIncreasesVoteCount", - "name": "addVoteIncreasesVoteCount", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "def", - "id": "Semantics.TileFlipConsensus.zero", - "name": "zero", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "def", - "id": "Semantics.TileFlipConsensus.one", - "name": "one", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "def", - "id": "Semantics.TileFlipConsensus.ofFrac", - "name": "ofFrac", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "def", - "id": "Semantics.TileFlipConsensus.createProposal", - "name": "createProposal", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "def", - "id": "Semantics.TileFlipConsensus.createVote", - "name": "createVote", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "def", - "id": "Semantics.TileFlipConsensus.addVote", - "name": "addVote", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "def", - "id": "Semantics.TileFlipConsensus.countVotes", - "name": "countVotes", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "def", - "id": "Semantics.TileFlipConsensus.hasTwoThirdsMajority", - "name": "hasTwoThirdsMajority", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "def", - "id": "Semantics.TileFlipConsensus.transitionToVoting", - "name": "transitionToVoting", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "def", - "id": "Semantics.TileFlipConsensus.transitionToCommit", - "name": "transitionToCommit", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "def", - "id": "Semantics.TileFlipConsensus.transitionToReplication", - "name": "transitionToReplication", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "def", - "id": "Semantics.TileFlipConsensus.applyCommittedFlip", - "name": "applyCommittedFlip", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "def", - "id": "Semantics.TileFlipConsensus.initializeConsensusState", - "name": "initializeConsensusState", - "module": "Semantics.TileFlipConsensus" - }, - { - "kind": "module", - "id": "Semantics.TileStateMachine", - "name": "TileStateMachine", - "path": "Semantics/TileStateMachine.lean", - "namespace": "Semantics.TileStateMachine", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team TileStateMachine.lean \u2014 Tile State Machine with Go Rules Defines the tile state machine for the Gossip-DAG-QR-Go protocol (MATH_MODEL_MAP 0.4.10). QR code modules act as Go tiles with state transitions", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 9, - "struct_count": 3, - "inductive_count": 2, - "line_count": 226 - }, - { - "kind": "theorem", - "id": "Semantics.TileStateMachine.libertyTransitionRequiresEmptyNeighbor", - "name": "libertyTransitionRequiresEmptyNeighbor", - "module": "Semantics.TileStateMachine" - }, - { - "kind": "theorem", - "id": "Semantics.TileStateMachine.captureTransitionRequiresNoLiberty", - "name": "captureTransitionRequiresNoLiberty", - "module": "Semantics.TileStateMachine" - }, - { - "kind": "theorem", - "id": "Semantics.TileStateMachine.koPreventsShapeRepetition", - "name": "koPreventsShapeRepetition", - "module": "Semantics.TileStateMachine" - }, - { - "kind": "theorem", - "id": "Semantics.TileStateMachine.capturedToEmptyAlwaysAllowed", - "name": "capturedToEmptyAlwaysAllowed", - "module": "Semantics.TileStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TileStateMachine.zero", - "name": "zero", - "module": "Semantics.TileStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TileStateMachine.one", - "name": "one", - "module": "Semantics.TileStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TileStateMachine.ofFrac", - "name": "ofFrac", - "module": "Semantics.TileStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TileStateMachine.hasLiberty", - "name": "hasLiberty", - "module": "Semantics.TileStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TileStateMachine.canCapture", - "name": "canCapture", - "module": "Semantics.TileStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TileStateMachine.wouldRepeatShape", - "name": "wouldRepeatShape", - "module": "Semantics.TileStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TileStateMachine.canTransition", - "name": "canTransition", - "module": "Semantics.TileStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TileStateMachine.flipTile", - "name": "flipTile", - "module": "Semantics.TileStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TileStateMachine.createEmptyGrid", - "name": "createEmptyGrid", - "module": "Semantics.TileStateMachine" - }, - { - "kind": "module", - "id": "Semantics.Timing", - "name": "Timing", - "path": "Semantics/Timing.lean", - "namespace": "Semantics.Timing", - "doc": "Semantics/Timing.lean - Frustration-Aware Manifold Memory (FAMM) Protocol This module derives dynamic RAM timing parameters from the manifold physics state (Torsion, Interlocking Energy, Laplacian). Parameters calculated: tTCL (Torsional CAS Latency) tMRE (Manifold Refresh Epoch) tDLL (Damping Lap", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 10, - "struct_count": 1, - "inductive_count": 0, - "line_count": 113 - }, - { - "kind": "def", - "id": "Semantics.Timing.tBaseCAS", - "name": "tBaseCAS", - "module": "Semantics.Timing" - }, - { - "kind": "def", - "id": "Semantics.Timing.tBaseREF", - "name": "tBaseREF", - "module": "Semantics.Timing" - }, - { - "kind": "def", - "id": "Semantics.Timing.tBaseHammer", - "name": "tBaseHammer", - "module": "Semantics.Timing" - }, - { - "kind": "def", - "id": "Semantics.Timing.tMinFactor", - "name": "tMinFactor", - "module": "Semantics.Timing" - }, - { - "kind": "def", - "id": "Semantics.Timing.clampFactor", - "name": "clampFactor", - "module": "Semantics.Timing" - }, - { - "kind": "def", - "id": "Semantics.Timing.maxRefreshFactor", - "name": "maxRefreshFactor", - "module": "Semantics.Timing" - }, - { - "kind": "def", - "id": "Semantics.Timing.calculateTCL", - "name": "calculateTCL", - "module": "Semantics.Timing" - }, - { - "kind": "def", - "id": "Semantics.Timing.calculateMRE", - "name": "calculateMRE", - "module": "Semantics.Timing" - }, - { - "kind": "def", - "id": "Semantics.Timing.calculateDLL", - "name": "calculateDLL", - "module": "Semantics.Timing" - }, - { - "kind": "def", - "id": "Semantics.Timing.deriveTiming", - "name": "deriveTiming", - "module": "Semantics.Timing" - }, - { - "kind": "module", - "id": "Semantics.Toolkit", - "name": "Toolkit", - "path": "Semantics/Toolkit.lean", - "namespace": "Semantics.Toolkit", - "doc": "Toolkit.lean \u2014 Core Constants and Functions for BraidCore Predictions This module centralizes the exact rational constants used by the BraidCore framework: the Menger void fraction z = 7/27, dislocation corrections, unified coupling \u03b1_T, and helper functions for prediction, grading, and period comp", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 9, - "def_count": 14, - "struct_count": 0, - "inductive_count": 0, - "line_count": 161 - }, - { - "kind": "theorem", - "id": "Semantics.Toolkit.for", - "name": "for", - "module": "Semantics.Toolkit" - }, - { - "kind": "theorem", - "id": "Semantics.Toolkit.corr1Loop_identity", - "name": "corr1Loop_identity", - "module": "Semantics.Toolkit" - }, - { - "kind": "theorem", - "id": "Semantics.Toolkit.corr2Loop_identity", - "name": "corr2Loop_identity", - "module": "Semantics.Toolkit" - }, - { - "kind": "theorem", - "id": "Semantics.Toolkit.alphaT_identity", - "name": "alphaT_identity", - "module": "Semantics.Toolkit" - }, - { - "kind": "theorem", - "id": "Semantics.Toolkit.oneOverAlphaT_identity", - "name": "oneOverAlphaT_identity", - "module": "Semantics.Toolkit" - }, - { - "kind": "theorem", - "id": "Semantics.Toolkit.zMenger_corrected_identity", - "name": "zMenger_corrected_identity", - "module": "Semantics.Toolkit" - }, - { - "kind": "theorem", - "id": "Semantics.Toolkit.grade_speciesArea", - "name": "grade_speciesArea", - "module": "Semantics.Toolkit" - }, - { - "kind": "theorem", - "id": "Semantics.Toolkit.grade_mottCriterion", - "name": "grade_mottCriterion", - "module": "Semantics.Toolkit" - }, - { - "kind": "theorem", - "id": "Semantics.Toolkit.grade_largeError", - "name": "grade_largeError", - "module": "Semantics.Toolkit" - }, - { - "kind": "def", - "id": "Semantics.Toolkit.zMenger", - "name": "zMenger", - "module": "Semantics.Toolkit" - }, - { - "kind": "def", - "id": "Semantics.Toolkit.alphaFS", - "name": "alphaFS", - "module": "Semantics.Toolkit" - }, - { - "kind": "def", - "id": "Semantics.Toolkit.corr1Loop", - "name": "corr1Loop", - "module": "Semantics.Toolkit" - }, - { - "kind": "def", - "id": "Semantics.Toolkit.corr2Loop", - "name": "corr2Loop", - "module": "Semantics.Toolkit" - }, - { - "kind": "def", - "id": "Semantics.Toolkit.alphaT", - "name": "alphaT", - "module": "Semantics.Toolkit" - }, - { - "kind": "def", - "id": "Semantics.Toolkit.oneOverAlphaT", - "name": "oneOverAlphaT", - "module": "Semantics.Toolkit" - }, - { - "kind": "def", - "id": "Semantics.Toolkit.zTolerance", - "name": "zTolerance", - "module": "Semantics.Toolkit" - }, - { - "kind": "def", - "id": "Semantics.Toolkit.sweetSpotLower", - "name": "sweetSpotLower", - "module": "Semantics.Toolkit" - }, - { - "kind": "def", - "id": "Semantics.Toolkit.sweetSpotUpper", - "name": "sweetSpotUpper", - "module": "Semantics.Toolkit" - }, - { - "kind": "def", - "id": "Semantics.Toolkit.gradeThresholds", - "name": "gradeThresholds", - "module": "Semantics.Toolkit" - }, - { - "kind": "def", - "id": "Semantics.Toolkit.gradeFromError", - "name": "gradeFromError", - "module": "Semantics.Toolkit" - }, - { - "kind": "def", - "id": "Semantics.Toolkit.dislocationCorrect", - "name": "dislocationCorrect", - "module": "Semantics.Toolkit" - }, - { - "kind": "def", - "id": "Semantics.Toolkit.dislocationCorrect2Loop", - "name": "dislocationCorrect2Loop", - "module": "Semantics.Toolkit" - }, - { - "kind": "def", - "id": "Semantics.Toolkit.mengerPeriod", - "name": "mengerPeriod", - "module": "Semantics.Toolkit" - }, - { - "kind": "module", - "id": "Semantics.TopologicalAwareness", - "name": "TopologicalAwareness", - "path": "Semantics/TopologicalAwareness.lean", - "namespace": "Semantics.TopologicalAwareness", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team TopologicalAwareness.lean \u2014 Lean 4 Topological Awareness and Geometric Primitives Database This module provides topological awareness for Lean 4, enabling the language to understand and reason about to", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 3, - "struct_count": 5, - "inductive_count": 2, - "line_count": 764 - }, - { - "kind": "def", - "id": "Semantics.TopologicalAwareness.geometricPrimitivesDatabase", - "name": "geometricPrimitivesDatabase", - "module": "Semantics.TopologicalAwareness" - }, - { - "kind": "def", - "id": "Semantics.TopologicalAwareness.initializePrimitiveLUT", - "name": "initializePrimitiveLUT", - "module": "Semantics.TopologicalAwareness" - }, - { - "kind": "def", - "id": "Semantics.TopologicalAwareness.computeEulerCharacteristic", - "name": "computeEulerCharacteristic", - "module": "Semantics.TopologicalAwareness" - }, - { - "kind": "module", - "id": "Semantics.TopologicalBraidAdapter", - "name": "TopologicalBraidAdapter", - "path": "Semantics/TopologicalBraidAdapter.lean", - "namespace": "Semantics.TopologicalBraidAdapter", - "doc": "============================================================", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 8, - "def_count": 23, - "struct_count": 3, - "inductive_count": 0, - "line_count": 233 - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalBraidAdapter.fusionSpaceDim_four", - "name": "fusionSpaceDim_four", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalBraidAdapter.fusionSpaceDim_five", - "name": "fusionSpaceDim_five", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalBraidAdapter.fusionSpaceDim_six", - "name": "fusionSpaceDim_six", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalBraidAdapter.fusionSpaceDim_eight", - "name": "fusionSpaceDim_eight", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalBraidAdapter.stableSignal_implies_coherent", - "name": "stableSignal_implies_coherent", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalBraidAdapter.noCfd_avoids_continuum", - "name": "noCfd_avoids_continuum", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalBraidAdapter.tensegrity_yang_baxter_bound", - "name": "tensegrity_yang_baxter_bound", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalBraidAdapter.tensegrity_implies_braid_coherence", - "name": "tensegrity_implies_braid_coherence", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.AnyonBraid", - "name": "AnyonBraid", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.braidFromSample", - "name": "braidFromSample", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.fusionTree", - "name": "fusionTree", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.vacuumSector", - "name": "vacuumSector", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.fusionSpaceDim", - "name": "fusionSpaceDim", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.crossingToSLUG3", - "name": "crossingToSLUG3", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.identitySLUG3", - "name": "identitySLUG3", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.composeSLUG3", - "name": "composeSLUG3", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.braidToSLUG3", - "name": "braidToSLUG3", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.sampleToSLUG3", - "name": "sampleToSLUG3", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.accumulatedPhase", - "name": "accumulatedPhase", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.q016ToFix16", - "name": "q016ToFix16", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.computeW", - "name": "computeW", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.colorRopeToDualQuat", - "name": "colorRopeToDualQuat", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.stateSampleToDualQuat", - "name": "stateSampleToDualQuat", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.liftDQWithMass", - "name": "liftDQWithMass", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.topologicalCharge", - "name": "topologicalCharge", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.sampleTopologicalCharge", - "name": "sampleTopologicalCharge", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "def", - "id": "Semantics.TopologicalBraidAdapter.hasQuantumDimension", - "name": "hasQuantumDimension", - "module": "Semantics.TopologicalBraidAdapter" - }, - { - "kind": "module", - "id": "Semantics.TopologicalPersistence", - "name": "TopologicalPersistence", - "path": "Semantics/TopologicalPersistence.lean", - "namespace": "Semantics.TopologicalPersistence", - "doc": "=========================================================================", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 10, - "struct_count": 1, - "inductive_count": 0, - "line_count": 139 - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalPersistence.topologicalBind_selfLawful", - "name": "topologicalBind_selfLawful", - "module": "Semantics.TopologicalPersistence" - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalPersistence.barcodeDistance_selfZero", - "name": "barcodeDistance_selfZero", - "module": "Semantics.TopologicalPersistence" - }, - { - "kind": "def", - "id": "Semantics.TopologicalPersistence.persistence", - "name": "persistence", - "module": "Semantics.TopologicalPersistence" - }, - { - "kind": "def", - "id": "Semantics.TopologicalPersistence.Barcode", - "name": "Barcode", - "module": "Semantics.TopologicalPersistence" - }, - { - "kind": "def", - "id": "Semantics.TopologicalPersistence.totalPersistence", - "name": "totalPersistence", - "module": "Semantics.TopologicalPersistence" - }, - { - "kind": "def", - "id": "Semantics.TopologicalPersistence.significantFeatures", - "name": "significantFeatures", - "module": "Semantics.TopologicalPersistence" - }, - { - "kind": "def", - "id": "Semantics.TopologicalPersistence.bottleneckDistance", - "name": "bottleneckDistance", - "module": "Semantics.TopologicalPersistence" - }, - { - "kind": "def", - "id": "Semantics.TopologicalPersistence.barcodeInvariant", - "name": "barcodeInvariant", - "module": "Semantics.TopologicalPersistence" - }, - { - "kind": "def", - "id": "Semantics.TopologicalPersistence.barcodeCost", - "name": "barcodeCost", - "module": "Semantics.TopologicalPersistence" - }, - { - "kind": "def", - "id": "Semantics.TopologicalPersistence.topologicalBind", - "name": "topologicalBind", - "module": "Semantics.TopologicalPersistence" - }, - { - "kind": "def", - "id": "Semantics.TopologicalPersistence.sampleBarcode1", - "name": "sampleBarcode1", - "module": "Semantics.TopologicalPersistence" - }, - { - "kind": "def", - "id": "Semantics.TopologicalPersistence.sampleBarcode2", - "name": "sampleBarcode2", - "module": "Semantics.TopologicalPersistence" - }, - { - "kind": "module", - "id": "Semantics.TopologicalStateMachine", - "name": "TopologicalStateMachine", - "path": "Semantics/TopologicalStateMachine.lean", - "namespace": "Semantics.TopologicalStateMachine", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team TopologicalStateMachine.lean \u2014 Lean-Clean Finite Skeleton (Version A) A formally verified core proving: 1. Nibble algebra is bijective (pack/unpack inverse) 2. Manifold transitions are register-injecti", - "math_kind": "geometry", - "sorry_count": 0, - "theorem_count": 7, - "def_count": 15, - "struct_count": 6, - "inductive_count": 4, - "line_count": 291 - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalStateMachine.NibbleSwitch", - "name": "NibbleSwitch", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalStateMachine.transition_register_injective", - "name": "transition_register_injective", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalStateMachine.transition_register_bijective", - "name": "transition_register_bijective", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalStateMachine.replay_length", - "name": "replay_length", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalStateMachine.replay_deterministic", - "name": "replay_deterministic", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "theorem", - "id": "Semantics.TopologicalStateMachine.register_update_surjective", - "name": "register_update_surjective", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TopologicalStateMachine.LocusModulus", - "name": "LocusModulus", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TopologicalStateMachine.ManifoldPoint", - "name": "ManifoldPoint", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TopologicalStateMachine.EnglishForm", - "name": "EnglishForm", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TopologicalStateMachine.englishFormCounts", - "name": "englishFormCounts", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TopologicalStateMachine.eulerCharacteristic", - "name": "eulerCharacteristic", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TopologicalStateMachine.Trajectory", - "name": "Trajectory", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TopologicalStateMachine.countLoops", - "name": "countLoops", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TopologicalStateMachine.productionHardware", - "name": "productionHardware", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TopologicalStateMachine.HardwareSurface", - "name": "HardwareSurface", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TopologicalStateMachine.CompressionObjective", - "name": "CompressionObjective", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "def", - "id": "Semantics.TopologicalStateMachine.selfReferential", - "name": "selfReferential", - "module": "Semantics.TopologicalStateMachine" - }, - { - "kind": "module", - "id": "Semantics.TopologyDlessScalar", - "name": "TopologyDlessScalar", - "path": "Semantics/TopologyDlessScalar.lean", - "namespace": "Semantics.TopologyDless", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550 Dimensionless conformal factors \u03a9(equation) that warp the topology manifold metric, making safety-critical equations more discoverable (3.2x speedup). Adapted from MOIM's Dless Scalar Field for topology-specific use: 1.", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 14, - "struct_count": 3, - "inductive_count": 0, - "line_count": 253 - }, - { - "kind": "theorem", - "id": "Semantics.TopologyDlessScalar.omega_positive", - "name": "omega_positive", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "theorem", - "id": "Semantics.TopologyDlessScalar.warped_distance_monotonic", - "name": "warped_distance_monotonic", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "theorem", - "id": "Semantics.TopologyDlessScalar.combine_preserves_positivity", - "name": "combine_preserves_positivity", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "theorem", - "id": "Semantics.TopologyDlessScalar.proven_higher_omega_than_conjecture", - "name": "proven_higher_omega_than_conjecture", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "def", - "id": "Semantics.TopologyDlessScalar.q0Sqrt", - "name": "q0Sqrt", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "def", - "id": "Semantics.TopologyDlessScalar.omegaFromStatus", - "name": "omegaFromStatus", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "def", - "id": "Semantics.TopologyDlessScalar.omegaFromCrossRefs", - "name": "omegaFromCrossRefs", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "def", - "id": "Semantics.TopologyDlessScalar.omegaFromFamily", - "name": "omegaFromFamily", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "def", - "id": "Semantics.TopologyDlessScalar.combineOmega", - "name": "combineOmega", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "def", - "id": "Semantics.TopologyDlessScalar.warpedDistance", - "name": "warpedDistance", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "def", - "id": "Semantics.TopologyDlessScalar.warpManifoldPoint", - "name": "warpManifoldPoint", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "def", - "id": "Semantics.TopologyDlessScalar.computeTopologyOmega", - "name": "computeTopologyOmega", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "def", - "id": "Semantics.TopologyDlessScalar.createWarpedTopologyEquation", - "name": "createWarpedTopologyEquation", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "def", - "id": "Semantics.TopologyDlessScalar.omegaSearchResult", - "name": "omegaSearchResult", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "def", - "id": "Semantics.TopologyDlessScalar.sortOmegaResults", - "name": "sortOmegaResults", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "def", - "id": "Semantics.TopologyDlessScalar.eulerCharacteristicOmega", - "name": "eulerCharacteristicOmega", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "def", - "id": "Semantics.TopologyDlessScalar.symplecticFormOmega", - "name": "symplecticFormOmega", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "def", - "id": "Semantics.TopologyDlessScalar.entropyVectorOmega", - "name": "entropyVectorOmega", - "module": "Semantics.TopologyDlessScalar" - }, - { - "kind": "module", - "id": "Semantics.TopologyDomainAlignment", - "name": "TopologyDomainAlignment", - "path": "Semantics/TopologyDomainAlignment.lean", - "namespace": "Semantics.TopologyDomainAlignment", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550 Aligns topology equation domains with MOIM's 16 domain registries for unified classification and cross-referencing (1.8x cross-domain speedup). This module provides bidirectional mapping between topology-specific classi", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 11, - "struct_count": 1, - "inductive_count": 2, - "line_count": 255 - }, - { - "kind": "theorem", - "id": "Semantics.TopologyDomainAlignment.compatibility_reflexive", - "name": "compatibility_reflexive", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "theorem", - "id": "Semantics.TopologyDomainAlignment.compatibility_symmetric", - "name": "compatibility_symmetric", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "theorem", - "id": "Semantics.TopologyDomainAlignment.full_bidirectional_coverage", - "name": "full_bidirectional_coverage", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "theorem", - "id": "Semantics.TopologyDomainAlignment.math_has_most_topology_domains", - "name": "math_has_most_topology_domains", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "def", - "id": "Semantics.TopologyDomainAlignment.alignTopologyDomain", - "name": "alignTopologyDomain", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "def", - "id": "Semantics.TopologyDomainAlignment.reverseAlignTopologyDomain", - "name": "reverseAlignTopologyDomain", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "def", - "id": "Semantics.TopologyDomainAlignment.domainsCompatible", - "name": "domainsCompatible", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "def", - "id": "Semantics.TopologyDomainAlignment.alignmentIsBidirectional", - "name": "alignmentIsBidirectional", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "def", - "id": "Semantics.TopologyDomainAlignment.countMappingsToMOIM", - "name": "countMappingsToMOIM", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "def", - "id": "Semantics.TopologyDomainAlignment.bidirectionalCoverage", - "name": "bidirectionalCoverage", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "def", - "id": "Semantics.TopologyDomainAlignment.tagEulerCharacteristicDomain", - "name": "tagEulerCharacteristicDomain", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "def", - "id": "Semantics.TopologyDomainAlignment.tagEntropyVectorDomain", - "name": "tagEntropyVectorDomain", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "def", - "id": "Semantics.TopologyDomainAlignment.tagSymplecticFormDomain", - "name": "tagSymplecticFormDomain", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "def", - "id": "Semantics.TopologyDomainAlignment.createTaggedEquation", - "name": "createTaggedEquation", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "def", - "id": "Semantics.TopologyDomainAlignment.crossDomainTopologySearch", - "name": "crossDomainTopologySearch", - "module": "Semantics.TopologyDomainAlignment" - }, - { - "kind": "module", - "id": "Semantics.TopologyFractalEncoding", - "name": "TopologyFractalEncoding", - "path": "Semantics/TopologyFractalEncoding.lean", - "namespace": "Semantics.TopologyFractal", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550 Self-similar, fractal-encoded topology equation graph database adapted from MOIM's ENE system for genus-3 topology calculations. This module provides O(log n) search for topology equations via manifold- distance pruning", - "math_kind": "braid", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 7, - "struct_count": 5, - "inductive_count": 1, - "line_count": 254 - }, - { - "kind": "theorem", - "id": "Semantics.TopologyFractalEncoding.subtree_fold_empty", - "name": "subtree_fold_empty", - "module": "Semantics.TopologyFractalEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.TopologyFractalEncoding.integrity_reflexive_leaf", - "name": "integrity_reflexive_leaf", - "module": "Semantics.TopologyFractalEncoding" - }, - { - "kind": "theorem", - "id": "Semantics.TopologyFractalEncoding.manifold_distance_nonnegative", - "name": "manifold_distance_nonnegative", - "module": "Semantics.TopologyFractalEncoding" - }, - { - "kind": "def", - "id": "Semantics.TopologyFractalEncoding.computeSubtreeFold", - "name": "computeSubtreeFold", - "module": "Semantics.TopologyFractalEncoding" - }, - { - "kind": "def", - "id": "Semantics.TopologyFractalEncoding.verifyIntegrity", - "name": "verifyIntegrity", - "module": "Semantics.TopologyFractalEncoding" - }, - { - "kind": "def", - "id": "Semantics.TopologyFractalEncoding.manifoldDistance", - "name": "manifoldDistance", - "module": "Semantics.TopologyFractalEncoding" - }, - { - "kind": "def", - "id": "Semantics.TopologyFractalEncoding.foldTopologyDescription", - "name": "foldTopologyDescription", - "module": "Semantics.TopologyFractalEncoding" - }, - { - "kind": "def", - "id": "Semantics.TopologyFractalEncoding.foldSubtree", - "name": "foldSubtree", - "module": "Semantics.TopologyFractalEncoding" - }, - { - "kind": "def", - "id": "Semantics.TopologyFractalEncoding.insert", - "name": "insert", - "module": "Semantics.TopologyFractalEncoding" - }, - { - "kind": "def", - "id": "Semantics.TopologyFractalEncoding.spiralSearch", - "name": "spiralSearch", - "module": "Semantics.TopologyFractalEncoding" - }, - { - "kind": "module", - "id": "Semantics.TopologyGoldenSpiral", - "name": "TopologyGoldenSpiral", - "path": "Semantics/TopologyGoldenSpiral.lean", - "namespace": "Semantics.TopologyGoldenSpiral", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550 Golden angle (137.5\u00b0) navigation in topology parameter space for efficient genus parameter exploration and optimization. Adapted from MOIM's Golden Spiral Navigator for topology-specific use: 1. Golden Angle: \u03b8 = 2\u03c0/\u03c6\u00b2 ", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 13, - "struct_count": 5, - "inductive_count": 0, - "line_count": 294 - }, - { - "kind": "theorem", - "id": "Semantics.TopologyGoldenSpiral.golden_angle_approx_137_5", - "name": "golden_angle_approx_137_5", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "theorem", - "id": "Semantics.TopologyGoldenSpiral.spiral_radius_nonnegative", - "name": "spiral_radius_nonnegative", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "theorem", - "id": "Semantics.TopologyGoldenSpiral.advance_increments_step_count", - "name": "advance_increments_step_count", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "def", - "id": "Semantics.TopologyGoldenSpiral.q0Sqrt", - "name": "q0Sqrt", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "def", - "id": "Semantics.TopologyGoldenSpiral.q0ToNat", - "name": "q0ToNat", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "def", - "id": "Semantics.TopologyGoldenSpiral.goldenAngleQ0", - "name": "goldenAngleQ0", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "def", - "id": "Semantics.TopologyGoldenSpiral.spiralToCartesian", - "name": "spiralToCartesian", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "def", - "id": "Semantics.TopologyGoldenSpiral.cartesianToSpiral", - "name": "cartesianToSpiral", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "def", - "id": "Semantics.TopologyGoldenSpiral.genusToSpiral", - "name": "genusToSpiral", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "def", - "id": "Semantics.TopologyGoldenSpiral.batchGenusToSpiral", - "name": "batchGenusToSpiral", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "def", - "id": "Semantics.TopologyGoldenSpiral.initNavigator", - "name": "initNavigator", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "def", - "id": "Semantics.TopologyGoldenSpiral.advanceNavigator", - "name": "advanceNavigator", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "def", - "id": "Semantics.TopologyGoldenSpiral.withinRadius", - "name": "withinRadius", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "def", - "id": "Semantics.TopologyGoldenSpiral.spiralSearch", - "name": "spiralSearch", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "def", - "id": "Semantics.TopologyGoldenSpiral.genusToParameterSpace", - "name": "genusToParameterSpace", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "def", - "id": "Semantics.TopologyGoldenSpiral.searchOptimalGenus", - "name": "searchOptimalGenus", - "module": "Semantics.TopologyGoldenSpiral" - }, - { - "kind": "module", - "id": "Semantics.TopologyNode", - "name": "TopologyNode", - "path": "Semantics/TopologyNode.lean", - "namespace": "Semantics.TopologyNode", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team TopologyNode.lean \u2014 Hardware Node Layer Dumb infrastructure nodes that advertise hardware capabilities and respond to topology pings. The topology controller (software layer) forms quorum and schedules", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 18, - "struct_count": 1, - "inductive_count": 3, - "line_count": 245 - }, - { - "kind": "theorem", - "id": "Semantics.TopologyNode.failedNodeCannotRunService", - "name": "failedNodeCannotRunService", - "module": "Semantics.TopologyNode" - }, - { - "kind": "theorem", - "id": "Semantics.TopologyNode.failedNodeCannotBind", - "name": "failedNodeCannotBind", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.halfQ", - "name": "halfQ", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.quarterQ", - "name": "quarterQ", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.ofFracQ", - "name": "ofFracQ", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.HardwareCapability", - "name": "HardwareCapability", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.serviceRequirements", - "name": "serviceRequirements", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.serviceCost", - "name": "serviceCost", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.maxEnergyFor", - "name": "maxEnergyFor", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.energyRecoveryRate", - "name": "energyRecoveryRate", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.initNode", - "name": "initNode", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.canRunService", - "name": "canRunService", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.deductEnergy", - "name": "deductEnergy", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.recoverEnergy", - "name": "recoverEnergy", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.canAcceptBind", - "name": "canAcceptBind", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.exampleCoreNode", - "name": "exampleCoreNode", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.exampleJudgeHost", - "name": "exampleJudgeHost", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.exampleMirrorNode", - "name": "exampleMirrorNode", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.exampleEdgeNode", - "name": "exampleEdgeNode", - "module": "Semantics.TopologyNode" - }, - { - "kind": "def", - "id": "Semantics.TopologyNode.exampleFoxTopNode", - "name": "exampleFoxTopNode", - "module": "Semantics.TopologyNode" - }, - { - "kind": "module", - "id": "Semantics.TopologyOptimization", - "name": "TopologyOptimization", - "path": "Semantics/TopologyOptimization.lean", - "namespace": "Semantics.TopologyOptimization", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 1, - "struct_count": 6, - "inductive_count": 0, - "line_count": 60 - }, - { - "kind": "def", - "id": "Semantics.TopologyOptimization.runSampleOptimization", - "name": "runSampleOptimization", - "module": "Semantics.TopologyOptimization" - }, - { - "kind": "module", - "id": "Semantics.TopologyPhinary", - "name": "TopologyPhinary", - "path": "Semantics/TopologyPhinary.lean", - "namespace": "Semantics.TopologyPhinary", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550 Phinary (base-\u03c6) arithmetic adapted from MOIM for Genus3TopologyMetaprobe division-heavy operations, providing 2.3x speedup via carry-free computation. 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Authors: Research Stack Team TopologyResilience.lean \u2014 Geometric Topology meets Load Balancing & Resilience Bridges abstract manifold topology with practical distributed systems: Load balancing = geodesic flow on energy densi", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 2, - "def_count": 20, - "struct_count": 3, - "inductive_count": 0, - "line_count": 268 - }, - { - "kind": "theorem", - "id": "Semantics.TopologyResilience.overloadedImpliesHighUtilization", - "name": "overloadedImpliesHighUtilization", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "theorem", - "id": "Semantics.TopologyResilience.kResilientNoSinglePointOfFailure", - "name": "kResilientNoSinglePointOfFailure", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "def", - "id": "Semantics.TopologyResilience.LoadField", - "name": "LoadField", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "def", - "id": "Semantics.TopologyResilience.uniformLoad", - "name": "uniformLoad", - 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"name": "pickBestSegment", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "def", - "id": "Semantics.TopologyResilience.pathCost", - "name": "pathCost", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "def", - "id": "Semantics.TopologyResilience.placementScore", - "name": "placementScore", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "def", - "id": "Semantics.TopologyResilience.placeService", - "name": "placeService", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "def", - "id": "Semantics.TopologyResilience.kResilient", - "name": "kResilient", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "def", - "id": "Semantics.TopologyResilience.reconfigureQuorum", - "name": "reconfigureQuorum", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "def", - "id": "Semantics.TopologyResilience.processPing", - "name": "processPing", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "def", - "id": "Semantics.TopologyResilience.floodPing", - "name": "floodPing", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "def", - "id": "Semantics.TopologyResilience.earthSeg", - "name": "earthSeg", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "def", - "id": "Semantics.TopologyResilience.marsSeg", - "name": "marsSeg", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "def", - "id": "Semantics.TopologyResilience.plutoSeg", - "name": "plutoSeg", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "def", - "id": "Semantics.TopologyResilience.solarSystemNetwork", - "name": "solarSystemNetwork", - "module": "Semantics.TopologyResilience" - }, - { - "kind": "module", - "id": "Semantics.TorsionalPIST", - "name": "TorsionalPIST", - "path": "Semantics/TorsionalPIST.lean", - "namespace": "Semantics.TorsionalPIST", - "doc": "structure TorsionalState where q1 : Semantics.Quaternion.Quaternion q2 : Semantics.Quaternion.Quaternion q3 : Semantics.Quaternion.Quaternion eta : DynamicCanal.Fix16 energy : DynamicCanal.Fix16 deriving Repr, DecidableEq, Inhabited def TorsionalState_initial : TorsionalState := { q1 := Semantics.Q", - 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Authors: Research Stack Team TreeDIATKruskal.lean \u2014 proof scaffold for TreeDIAT/Kruskal behavior This module upgrades TreeDIAT from a pure heuristic packet into a Kruskal-facing proof surface. 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A proof-carrying registry of laws 2. A reduced \u03a6-based state and gradient field 3. A law-driven augmentation of the potential 4. 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Authors: Research Stack Team WebInteractionSurface.lean \u2014 Web Interaction Protocol Specification Replaces infra/web_interaction_surface.py protocol spec with a formal Lean module. 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"name": "Witness", - "path": "Semantics/Witness.lean", - "namespace": "Semantics.ENE", - "doc": "Witness and Constitution", - "math_kind": "rrc", - "sorry_count": 0, - "theorem_count": 10, - "def_count": 5, - "struct_count": 4, - "inductive_count": 1, - "line_count": 210 - }, - { - "kind": "theorem", - "id": "Semantics.Witness.Witness", - "name": "Witness", - "module": "Semantics.Witness" - }, - { - "kind": "theorem", - "id": "Semantics.Witness.no_rooms_without_foundations", - "name": "no_rooms_without_foundations", - "module": "Semantics.Witness" - }, - { - "kind": "theorem", - "id": "Semantics.Witness.no_corridors_without_laws", - "name": "no_corridors_without_laws", - "module": "Semantics.Witness" - }, - { - "kind": "theorem", - "id": "Semantics.Witness.no_depth_without_map", - "name": "no_depth_without_map", - "module": "Semantics.Witness" - }, - { - "kind": "theorem", - "id": "Semantics.Witness.no_invisible_capability", - "name": "no_invisible_capability", - "module": "Semantics.Witness" - }, - { - "kind": "theorem", - "id": "Semantics.Witness.no_endless_dream_logic", - "name": "no_endless_dream_logic", - "module": "Semantics.Witness" - }, - { - "kind": "theorem", - "id": "Semantics.Witness.no_opaque_evolution", - "name": "no_opaque_evolution", - "module": "Semantics.Witness" - }, - { - "kind": "theorem", - "id": "Semantics.Witness.no_universality_loss_under_projection", - "name": "no_universality_loss_under_projection", - "module": "Semantics.Witness" - }, - { - "kind": "theorem", - "id": "Semantics.Witness.no_universality_loss_under_collapse", - "name": "no_universality_loss_under_collapse", - "module": "Semantics.Witness" - }, - { - "kind": "theorem", - "id": "Semantics.Witness.no_universality_loss_under_evolution", - "name": "no_universality_loss_under_evolution", - "module": "Semantics.Witness" - }, - { - "kind": "def", - "id": "Semantics.Witness.Groundedness", - "name": "Groundedness", - "module": "Semantics.Witness" - }, - { - "kind": "def", - "id": "Semantics.Witness.UniverseConstitution", - "name": "UniverseConstitution", - "module": "Semantics.Witness" - }, - { - "kind": "def", - "id": "Semantics.Witness.AuditablyHabitable", - "name": "AuditablyHabitable", - "module": "Semantics.Witness" - }, - { - "kind": "module", - "id": "Semantics.WitnessGrammar", - "name": "WitnessGrammar", - "path": "Semantics/WitnessGrammar.lean", - "namespace": "Semantics.WitnessGrammar", - "doc": "Released under Apache 2.0 license as described in the file LICENSE. Authors: Research Stack Team WitnessGrammar.lean \u2014 Finite Symbolic Source Code Recovered from a Field A WitnessGrammar is the finite symbolic source code recovered from a field. It stores the active witnesses, their amplitudes / f", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 0, - "def_count": 21, - "struct_count": 4, - "inductive_count": 2, - "line_count": 458 - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.toCharge", - "name": "toCharge", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.toMass", - "name": "toMass", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.defaultAction", - "name": "defaultAction", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.closureThreshold", - "name": "closureThreshold", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.isClosed", - "name": "isClosed", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.totalMass", - "name": "totalMass", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.structuredMass", - "name": "structuredMass", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.stressMass", - "name": "stressMass", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.toPolarity", - "name": "toPolarity", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.routeDefault", - "name": "routeDefault", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.witnessDistance", - "name": "witnessDistance", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.bindingStability", - "name": "bindingStability", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.turbulence", - "name": "turbulence", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.filterScore", - "name": "filterScore", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.bestMatchScore", - "name": "bestMatchScore", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.capacityConstrainedBatchTransformer", - "name": "capacityConstrainedBatchTransformer", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.toyAssetShippingPort", - "name": "toyAssetShippingPort", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.toyAssetDNASequencing", - "name": "toyAssetDNASequencing", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "def", - "id": "Semantics.WitnessGrammar.toyAssetBakery", - "name": "toyAssetBakery", - "module": "Semantics.WitnessGrammar" - }, - { - "kind": "module", - "id": "Semantics.YangMillsCompression", - "name": "YangMillsCompression", - "path": "Semantics/YangMillsCompression.lean", - "namespace": "Semantics.YangMillsCompression", - "doc": "Formalization of compression ratio calculations based on actual Delta GCL achievements. Verified against documented compression results. Achievement sources: Delta GCL on Lean metadata: 99.9% (4.1MB \u2192 4KB) = 1000\u00d7 Delta GCL on swarm components: 92% (9 chars vs 117 bases) = 13\u00d7", - "math_kind": "algebra", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 14, - "struct_count": 3, - "inductive_count": 0, - "line_count": 161 - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsCompression.pipelineRatio_ge_one", - "name": "pipelineRatio_ge_one", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsCompression.stage_reduces_size", - "name": "stage_reduces_size", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsCompression.conservative_le_aggressive", - "name": "conservative_le_aggressive", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompression.leanMetadataAchievement", - "name": "leanMetadataAchievement", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompression.swarmComponentsAchievement", - "name": "swarmComponentsAchievement", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompression.achievementRatio", - "name": "achievementRatio", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompression.conservativeAdjustment", - "name": "conservativeAdjustment", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompression.aggressiveAdjustment", - "name": "aggressiveAdjustment", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompression.fixedPointStage", - "name": "fixedPointStage", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompression.deltaEncodingStage", - "name": "deltaEncodingStage", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompression.deltaGCLStage", - "name": "deltaGCLStage", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompression.topologicalStage", - "name": "topologicalStage", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompression.neuralVAEStage", - "name": "neuralVAEStage", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompression.conservativePipeline", - "name": "conservativePipeline", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompression.aggressivePipeline", - "name": "aggressivePipeline", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompression.pipelineRatio", - "name": "pipelineRatio", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompression.finalCompressedSize", - "name": "finalCompressedSize", - "module": "Semantics.YangMillsCompression" - }, - { - "kind": "module", - "id": "Semantics.YangMillsCompressionBounds", - "name": "YangMillsCompressionBounds", - "path": "Semantics/YangMillsCompressionBounds.lean", - "namespace": "Semantics.YangMillsCompressionBounds", - "doc": "Formalization of compression bounds separating: Lossless compression (exact reconstruction) Lossy compression (acceptable precision loss) Precision-reduced compression (fixed-point conversion) Transmission avoidance (Layer 3 local computation) Key invariant: compressionRatio \u2260 transmissionAvoidance", - "math_kind": "fixedpoint", - "sorry_count": 0, - "theorem_count": 5, - "def_count": 5, - "struct_count": 2, - "inductive_count": 1, - "line_count": 130 - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsCompressionBounds.lossless_ratio_ge_one", - "name": "lossless_ratio_ge_one", - "module": "Semantics.YangMillsCompressionBounds" - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsCompressionBounds.precision_reduction_exact_two", - 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}, - { - "kind": "def", - "id": "Semantics.YangMillsCompressionBounds.precisionReducedBounds", - "name": "precisionReducedBounds", - "module": "Semantics.YangMillsCompressionBounds" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompressionBounds.transmissionAvoidanceBounds", - "name": "transmissionAvoidanceBounds", - "module": "Semantics.YangMillsCompressionBounds" - }, - { - "kind": "def", - "id": "Semantics.YangMillsCompressionBounds.effectiveNetworkCost", - "name": "effectiveNetworkCost", - "module": "Semantics.YangMillsCompressionBounds" - }, - { - "kind": "module", - "id": "Semantics.YangMillsLattice", - "name": "YangMillsLattice", - "path": "Semantics/YangMillsLattice.lean", - "namespace": "Semantics.YangMillsLattice", - "doc": "Formalization of lattice data size calculations for Yang-Mills mass gap problem. Based on SU(3) gauge field lattice with 64\u2074 sites. Key equations: Lattice sites: N = L\u2074 where L = 64 Gauge field: SU(3) = 4 complex numbers per site (link variables) Raw size: S_raw = N \u00d7 4 \u00d7 2 \u00d7 8 bytes Compressed siz", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 17, - "struct_count": 3, - "inductive_count": 0, - "line_count": 171 - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsLattice.rawLatticeSize_positive", - "name": "rawLatticeSize_positive", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsLattice.compressionRatio_ge_one", - "name": "compressionRatio_ge_one", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsLattice.compressed_le_raw", - "name": "compressed_le_raw", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.defaultLatticeConfig", - "name": "defaultLatticeConfig", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.latticeSites", - "name": "latticeSites", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.rawLatticeSize", - "name": "rawLatticeSize", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.bytesToMegabytes", - "name": "bytesToMegabytes", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.rawLatticeSizeMB", - "name": "rawLatticeSizeMB", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.conservativePipeline", - "name": "conservativePipeline", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.aggressivePipeline", - "name": "aggressivePipeline", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.totalCompressionRatio", - "name": "totalCompressionRatio", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.compressedLatticeSizeMB", - "name": "compressedLatticeSizeMB", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.compressionRatio", - "name": "compressionRatio", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.defaultPerformanceParams", - "name": "defaultPerformanceParams", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.totalFlops", - "name": "totalFlops", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.secondsFromFlopsAtGFlops", - "name": "secondsFromFlopsAtGFlops", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.theoreticalTime", - "name": "theoreticalTime", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.realisticTime", - "name": "realisticTime", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.performanceWithCompression", - "name": "performanceWithCompression", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLattice.performanceWithLayer3", - "name": "performanceWithLayer3", - "module": "Semantics.YangMillsLattice" - }, - { - "kind": "module", - "id": "Semantics.YangMillsLatticeSizing", - "name": "YangMillsLatticeSizing", - "path": "Semantics/YangMillsLatticeSizing.lean", - "namespace": "Semantics.YangMillsLatticeSizing", - "doc": "Formalization of lattice site count and storage models for small lattice experiments. This is NOT a Yang-Mills proof stack - it is a lattice-gauge / compression / verification sandbox. Key invariants: Small lattice experiments only (toy models) Storage models for 8-real/site vs full SU(3) link mode", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 3, - "def_count": 7, - "struct_count": 2, - "inductive_count": 0, - "line_count": 130 - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsLatticeSizing.latticeSites_positive", - "name": "latticeSites_positive", - "module": "Semantics.YangMillsLatticeSizing" - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsLatticeSizing.rawStorageSize_positive", - "name": "rawStorageSize_positive", - "module": "Semantics.YangMillsLatticeSizing" - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsLatticeSizing.eightRealModel_eightReals", - "name": "eightRealModel_eightReals", - "module": "Semantics.YangMillsLatticeSizing" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLatticeSizing.defaultToyLattice", - "name": "defaultToyLattice", - "module": "Semantics.YangMillsLatticeSizing" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLatticeSizing.latticeSites", - "name": "latticeSites", - "module": "Semantics.YangMillsLatticeSizing" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLatticeSizing.rawStorageSize", - "name": "rawStorageSize", - "module": "Semantics.YangMillsLatticeSizing" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLatticeSizing.bytesToMegabytes", - "name": "bytesToMegabytes", - "module": "Semantics.YangMillsLatticeSizing" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLatticeSizing.rawStorageSizeMB", - "name": "rawStorageSizeMB", - "module": "Semantics.YangMillsLatticeSizing" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLatticeSizing.su3LinkModel_eightReals", - "name": "su3LinkModel_eightReals", - "module": "Semantics.YangMillsLatticeSizing" - }, - { - "kind": "def", - "id": "Semantics.YangMillsLatticeSizing.feasibilityCheck", - "name": "feasibilityCheck", - "module": "Semantics.YangMillsLatticeSizing" - }, - { - "kind": "module", - "id": "Semantics.YangMillsPerformance", - "name": "YangMillsPerformance", - "path": "Semantics/YangMillsPerformance.lean", - "namespace": "Semantics.YangMillsPerformance", - "doc": "Formalization of performance estimation for Yang-Mills lattice computations on distributed VPS nodes with AVX512 acceleration. Key equations: Total FLOPs: F_total = N \u00d7 F_site Theoretical time: T_theoretical = F_total / (GFLOPS_core \u00d7 N_cores \u00d7 10^9) Realistic time: T_realistic = T_theoretical \u00d7 ov", - "math_kind": "quantum", - "sorry_count": 0, - "theorem_count": 4, - "def_count": 17, - "struct_count": 6, - "inductive_count": 0, - "line_count": 210 - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsPerformance.theoreticalTime_positive", - "name": "theoreticalTime_positive", - "module": "Semantics.YangMillsPerformance" - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsPerformance.realistic_ge_theoretical", - "name": "realistic_ge_theoretical", - "module": "Semantics.YangMillsPerformance" - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsPerformance.compression_reduces_time", - "name": "compression_reduces_time", - "module": "Semantics.YangMillsPerformance" - }, - { - "kind": "theorem", - "id": "Semantics.YangMillsPerformance.layer3_reduces_time", - "name": "layer3_reduces_time", - 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Any file referencing rds_connect.py or this hostname is stale and must be ported." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/ene_wiki_body_reingest.py", - "name": "ene_wiki_body_reingest.py", - "path": "4-Infrastructure/shim/ene_wiki_body_reingest.py", - "doc": "INFRA:DEAD rds -- AWS RDS is gone. Any file referencing rds_connect.py or this hostname is stale and must be ported." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/entropic_collision_prober.py", - "name": "entropic_collision_prober.py", - "path": "4-Infrastructure/shim/entropic_collision_prober.py", - "doc": "Calculate Shannon entropy" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/equation_shape_parser.py", - "name": "equation_shape_parser.py", - "path": "4-Infrastructure/shim/equation_shape_parser.py", - "doc": "\u2500\u2500\u2500 Shape signature from equation structure \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/erdos_discrepancy_probe.py", - "name": "erdos_discrepancy_probe.py", - "path": "4-Infrastructure/shim/erdos_discrepancy_probe.py", - "doc": "homogeneous AP check" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/erdos_discrepancy_probe_simd.py", - "name": "erdos_discrepancy_probe_simd.py", - "path": "4-Infrastructure/shim/erdos_discrepancy_probe_simd.py", - "doc": "In SIMD, we can extract the AP for a given q instantly using strided slicing:" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/erdos_e8_rrc_projection.py", - "name": "erdos_e8_rrc_projection.py", - "path": "4-Infrastructure/shim/erdos_e8_rrc_projection.py", - "doc": "Gamma (Obstruction Overlap Factor)" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/erdos_e8_rrc_refined.py", - "name": "erdos_e8_rrc_refined.py", - "path": "4-Infrastructure/shim/erdos_e8_rrc_refined.py", - "doc": "Gamma (Obstruction Overlap Factor)" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/failure_flexure_bank.py", - "name": "failure_flexure_bank.py", - "path": "4-Infrastructure/shim/failure_flexure_bank.py", - "doc": "\u2500\u2500 Missing rewrite direction (rw needs \u2190 or different order) \u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/flac_dsp_node.py", - "name": "flac_dsp_node.py", - "path": "4-Infrastructure/shim/flac_dsp_node.py", - "doc": "" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/fractal_dimension.py", - "name": "fractal_dimension.py", - "path": "4-Infrastructure/shim/fractal_dimension.py", - "doc": "---------------------------------------------------------------------------" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/galois_orbit_trimmer.py", - "name": "galois_orbit_trimmer.py", - "path": "4-Infrastructure/shim/galois_orbit_trimmer.py", - "doc": "We generate in pairs (gamma, conj(gamma))" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/gccl_transfer_pipeline.py", - "name": "gccl_transfer_pipeline.py", - "path": "4-Infrastructure/shim/gccl_transfer_pipeline.py", - "doc": "Insert shim path to import gccl_waveprobe" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/gccl_waveprobe.py", - "name": "gccl_waveprobe.py", - "path": "4-Infrastructure/shim/gccl_waveprobe.py", - "doc": "\u2500\u2500 Q16_16 Fixed-Point \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/gen_grammar_thread_receipts.py", - "name": "gen_grammar_thread_receipts.py", - "path": "4-Infrastructure/shim/gen_grammar_thread_receipts.py", - "doc": "\u2500\u2500 CONFIRMED \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/generate_ephemeris_lut.py", - "name": "generate_ephemeris_lut.py", - "path": "4-Infrastructure/shim/generate_ephemeris_lut.py", - "doc": "Q16_16 scale factor" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/genetic_braid_bridge.py", - "name": "genetic_braid_bridge.py", - "path": "4-Infrastructure/shim/genetic_braid_bridge.py", - "doc": "\u2500\u2500 Canonical BraidStorm constants \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/genus0_sphere_shell_demo.py", - "name": "genus0_sphere_shell_demo.py", - "path": "4-Infrastructure/shim/genus0_sphere_shell_demo.py", - "doc": "PARTIAL BOUNDARY: contains domain logic; not a provable surface. Port to Lean/RRC before treating as authoritative." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/geometric_entropy_explorer.py", - "name": "geometric_entropy_explorer.py", - "path": "4-Infrastructure/shim/geometric_entropy_explorer.py", - "doc": "---------------------------------------------------------------------------" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/gpu_fpga_ipc_symbol_surface.py", - "name": "gpu_fpga_ipc_symbol_surface.py", - "path": "4-Infrastructure/shim/gpu_fpga_ipc_symbol_surface.py", - "doc": "64-byte cache-line shaped structures. Keep these sizes stable." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/hash_benchmark.py", - "name": "hash_benchmark.py", - "path": "4-Infrastructure/shim/hash_benchmark.py", - "doc": "\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/hep_data_puller.py", - "name": "hep_data_puller.py", - "path": "4-Infrastructure/shim/hep_data_puller.py", - "doc": "-------------------------------------------------------------------------" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/hep_providers.py", - "name": "hep_providers.py", - "path": "4-Infrastructure/shim/hep_providers.py", - "doc": "Major HEP data providers (verified and unverified)" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/hopf_cole_burgers.py", - "name": "hopf_cole_burgers.py", - "path": "4-Infrastructure/shim/hopf_cole_burgers.py", - "doc": "NumPy 2.x compat: np.trapz was renamed to np.trapezoid" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/hutter_jxl_starfield_eigenprobe.py", - "name": "hutter_jxl_starfield_eigenprobe.py", - "path": "4-Infrastructure/shim/hutter_jxl_starfield_eigenprobe.py", - "doc": "" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/hutter_jxl_starfield_replay_verify.py", - "name": "hutter_jxl_starfield_replay_verify.py", - "path": "4-Infrastructure/shim/hutter_jxl_starfield_replay_verify.py", - "doc": "" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/ingest_57_flexures.py", - "name": "ingest_57_flexures.py", - "path": "4-Infrastructure/shim/ingest_57_flexures.py", - "doc": "INFRA:DEAD rds -- AWS RDS is gone. Any file referencing rds_connect.py or this hostname is stale and must be ported." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/ingest_eigensolid_data.py", - "name": "ingest_eigensolid_data.py", - "path": "4-Infrastructure/shim/ingest_eigensolid_data.py", - "doc": "Q16_16 Scaling constants" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/ingest_flexure_joints.py", - "name": "ingest_flexure_joints.py", - "path": "4-Infrastructure/shim/ingest_flexure_joints.py", - "doc": "INFRA:DEAD rds -- AWS RDS is gone. Any file referencing rds_connect.py or this hostname is stale and must be ported." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/ivshmem_client.py", - "name": "ivshmem_client.py", - "path": "4-Infrastructure/shim/ivshmem_client.py", - "doc": "\u2500\u2500 Ivshmem Constants \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/joint_classifier.py", - "name": "joint_classifier.py", - "path": "4-Infrastructure/shim/joint_classifier.py", - "doc": "INFRA:DEAD rds -- AWS RDS is gone. Any file referencing rds_connect.py or this hostname is stale and must be ported." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/label_canary_theorems.py", - "name": "label_canary_theorems.py", - "path": "4-Infrastructure/shim/label_canary_theorems.py", - "doc": "PARTIAL BOUNDARY: contains domain logic; not a provable surface. Port to Lean/RRC before treating as authoritative." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/lean_proof/__init__.py", - "name": "__init__.py", - "path": "4-Infrastructure/shim/lean_proof/__init__.py", - "doc": "" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/lean_proof/deepseek_prover.py", - "name": "deepseek_prover.py", - "path": "4-Infrastructure/shim/lean_proof/deepseek_prover.py", - "doc": "------------------------------------------------------------------" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/lean_proof/prover_engine.py", - "name": "prover_engine.py", - "path": "4-Infrastructure/shim/lean_proof/prover_engine.py", - "doc": "------------------------------------------------------------------" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/lean_proof_prefilter.py", - "name": "lean_proof_prefilter.py", - "path": "4-Infrastructure/shim/lean_proof_prefilter.py", - "doc": "Match theorem/lemma/def declarations" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/lean_trace_bridge.py", - "name": "lean_trace_bridge.py", - "path": "4-Infrastructure/shim/lean_trace_bridge.py", - "doc": "Find the `by` block" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/lean_trace_bridge_v2.py", - "name": "lean_trace_bridge_v2.py", - "path": "4-Infrastructure/shim/lean_trace_bridge_v2.py", - "doc": "Find the by-block start (position of 'by ' or 'by\\n')" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/lonely_runner_sim.py", - "name": "lonely_runner_sim.py", - "path": "4-Infrastructure/shim/lonely_runner_sim.py", - "doc": "\u2500\u2500 simulation core \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/math_symbols.py", - "name": "math_symbols.py", - "path": "4-Infrastructure/shim/math_symbols.py", - "doc": "\u2500\u2500 Curated standard-LaTeX macros (authoritative for the common commands) \u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/menger_address_reduction.py", - "name": "menger_address_reduction.py", - "path": "4-Infrastructure/shim/menger_address_reduction.py", - "doc": "Menger sponge constants" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/merkle_tensegrity_load_equation_generator.py", - "name": "merkle_tensegrity_load_equation_generator.py", - "path": "4-Infrastructure/shim/merkle_tensegrity_load_equation_generator.py", - "doc": "" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/non_euclidean_cpp.py", - "name": "non_euclidean_cpp.py", - "path": "4-Infrastructure/shim/non_euclidean_cpp.py", - "doc": "Three edge types matching the standard trichotomy of constant-curvature 2D geometries" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/openai_unit_distance_verifier.py", - "name": "openai_unit_distance_verifier.py", - "path": "4-Infrastructure/shim/openai_unit_distance_verifier.py", - "doc": "Optimize by using spatial bucketing/grid for larger point sets to avoid O(n^2) distance checks" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/openalex_citation_crawler.py", - "name": "openalex_citation_crawler.py", - "path": "4-Infrastructure/shim/openalex_citation_crawler.py", - "doc": "Real citation graph (online):" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/pagerank_eigenvalue_survey.py", - "name": "pagerank_eigenvalue_survey.py", - "path": "4-Infrastructure/shim/pagerank_eigenvalue_survey.py", - "doc": "\u2500\u2500 Sidon spectral primitives (mirror Semantics.Spectrum) \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/particle_physics_lut.py", - "name": "particle_physics_lut.py", - "path": "4-Infrastructure/shim/particle_physics_lut.py", - "doc": "\u2500\u2500 Q16_16 Constants \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/pipeline_test_sidon.py", - "name": "pipeline_test_sidon.py", - "path": "4-Infrastructure/shim/pipeline_test_sidon.py", - "doc": "\u2500\u2500\u2500 Conjecture: sidonMaximum_gt_sqrt_div_two \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/pist_canary_batch.py", - "name": "pist_canary_batch.py", - "path": "4-Infrastructure/shim/pist_canary_batch.py", - "doc": "\u2500\u2500 rfl / trivial \u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/pist_classify.py", - "name": "pist_classify.py", - "path": "4-Infrastructure/shim/pist_classify.py", - "doc": "INFRA:DEAD rds -- AWS RDS is gone. Any file referencing rds_connect.py or this hostname is stale and must be ported." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/pist_matrix_builder.py", - "name": "pist_matrix_builder.py", - "path": "4-Infrastructure/shim/pist_matrix_builder.py", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/pist_route_repair.py", - "name": "pist_route_repair.py", - "path": "4-Infrastructure/shim/pist_route_repair.py", - "doc": "INFRA:DEAD rds -- AWS RDS is gone. Any file referencing rds_connect.py or this hostname is stale and must be ported." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/pist_trace_classify_mcp.py", - "name": "pist_trace_classify_mcp.py", - "path": "4-Infrastructure/shim/pist_trace_classify_mcp.py", - "doc": "INFRA:DEAD rds -- AWS RDS is gone. Any file referencing rds_connect.py or this hostname is stale and must be ported." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/pist_trace_decompose.py", - "name": "pist_trace_decompose.py", - "path": "4-Infrastructure/shim/pist_trace_decompose.py", - "doc": "Check convergence" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/pylsp_trivial_detector.py", - "name": "pylsp_trivial_detector.py", - "path": "4-Infrastructure/shim/pylsp_trivial_detector.py", - "doc": "Strip and compare empty" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/pyrochlore_sidon_classify.py", - "name": "pyrochlore_sidon_classify.py", - "path": "4-Infrastructure/shim/pyrochlore_sidon_classify.py", - "doc": "\u2500\u2500\u2500 Exact diagonalization: S=1 Heisenberg tetrahedron \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/q16_16_optimization_core.py", - "name": "q16_16_optimization_core.py", - "path": "4-Infrastructure/shim/q16_16_optimization_core.py", - "doc": "\u2500\u2500 Exact mirror of FixedPoint.lean Q16.16 raw arithmetic \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/q16_lut_vcn.py", - "name": "q16_lut_vcn.py", - "path": "4-Infrastructure/shim/q16_lut_vcn.py", - "doc": "Local imports \u2013 same directory" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/qaoa_adapter.py", - "name": "qaoa_adapter.py", - "path": "4-Infrastructure/shim/qaoa_adapter.py", - "doc": "\u2500\u2500 optional backend imports \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/qemu_framebuffer_packer.py", - "name": "qemu_framebuffer_packer.py", - "path": "4-Infrastructure/shim/qemu_framebuffer_packer.py", - "doc": "Framebuffer constants" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/qr_braid_bridge.py", - "name": "qr_braid_bridge.py", - "path": "4-Infrastructure/shim/qr_braid_bridge.py", - "doc": "Apply to rows k..m-1, columns k..n-1" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/qr_spatial_hash.py", - "name": "qr_spatial_hash.py", - "path": "4-Infrastructure/shim/qr_spatial_hash.py", - "doc": "\u2500\u2500 Morton Code (Z-order curve) \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/quandela_erdos_search.py", - "name": "quandela_erdos_search.py", - "path": "4-Infrastructure/shim/quandela_erdos_search.py", - "doc": "Q16.16 conversion" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/qubo_highs.py", - "name": "qubo_highs.py", - "path": "4-Infrastructure/shim/qubo_highs.py", - "doc": "---------------------------------------------------------------------------" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/raven_threshold_query.py", - "name": "raven_threshold_query.py", - "path": "4-Infrastructure/shim/raven_threshold_query.py", - "doc": "\u2500\u2500\u2500 Raven matrix for \u03b7_c threshold \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/ray_vcn_bridge.py", - "name": "ray_vcn_bridge.py", - "path": "4-Infrastructure/shim/ray_vcn_bridge.py", - "doc": "As a drop-in replacement for GPUNodeConnection:" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/ray_vcn_transport.py", - "name": "ray_vcn_transport.py", - "path": "4-Infrastructure/shim/ray_vcn_transport.py", - "doc": "Encode a strand \u2192 ObjectRef" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rds_connect.py", - "name": "rds_connect.py", - "path": "4-Infrastructure/shim/rds_connect.py", - "doc": "INFRA:DEAD rds -- AWS RDS is gone. Any file referencing rds_connect.py or this hostname is stale and must be ported." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/reservoir.py", - "name": "reservoir.py", - "path": "4-Infrastructure/shim/reservoir.py", - "doc": "\u2500\u2500\u2500 Q16_16 helpers \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/route_repair_v14a.py", - "name": "route_repair_v14a.py", - "path": "4-Infrastructure/shim/route_repair_v14a.py", - "doc": "PARTIAL BOUNDARY: contains domain logic; not a provable surface." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/routing_benchmark.py", - "name": "routing_benchmark.py", - "path": "4-Infrastructure/shim/routing_benchmark.py", - "doc": "PARTIAL BOUNDARY: contains domain logic; not a provable surface. Port to Lean/RRC before treating as authoritative." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_affine_conservation_probe.py", - "name": "rrc_affine_conservation_probe.py", - "path": "4-Infrastructure/shim/rrc_affine_conservation_probe.py", - "doc": "anomaly = how far an equation's Q sits above the corpus median (robust z)" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_anti_connections.py", - "name": "rrc_anti_connections.py", - "path": "4-Infrastructure/shim/rrc_anti_connections.py", - "doc": "Separate by regime" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_arxiv_kernel_refine.py", - "name": "rrc_arxiv_kernel_refine.py", - "path": "4-Infrastructure/shim/rrc_arxiv_kernel_refine.py", - "doc": "Math-symbol normalizer (LaTeX/Unicode \u2192 canonical) backing the geometry kernel." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_bosonic_db_buffer.py", - "name": "rrc_bosonic_db_buffer.py", - "path": "4-Infrastructure/shim/rrc_bosonic_db_buffer.py", - "doc": "INFRA:DEAD rds -- AWS RDS is gone. Any file referencing rds_connect.py or this hostname is stale and must be ported." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_bosonic_tensor_gpu.py", - "name": "rrc_bosonic_tensor_gpu.py", - "path": "4-Infrastructure/shim/rrc_bosonic_tensor_gpu.py", - "doc": "\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_bosonic_tensor_network.py", - "name": "rrc_bosonic_tensor_network.py", - "path": "4-Infrastructure/shim/rrc_bosonic_tensor_network.py", - "doc": "\u2500\u2500 quimb / opt_einsum \u2014 bosonic tensor network \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_dataset_kernel_build.py", - "name": "rrc_dataset_kernel_build.py", - "path": "4-Infrastructure/shim/rrc_dataset_kernel_build.py", - "doc": "\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_domain_manifold_graph.py", - "name": "rrc_domain_manifold_graph.py", - "path": "4-Infrastructure/shim/rrc_domain_manifold_graph.py", - "doc": "\u2500\u2500 Build nodes from all kernels \u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_dual_query.py", - "name": "rrc_dual_query.py", - "path": "4-Infrastructure/shim/rrc_dual_query.py", - "doc": "\u2500\u2500 Paths \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_genre_decompose.py", - "name": "rrc_genre_decompose.py", - "path": "4-Infrastructure/shim/rrc_genre_decompose.py", - "doc": "Prefer pure genres (high fraction) but fall back to best match" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_manifold_assign.py", - "name": "rrc_manifold_assign.py", - "path": "4-Infrastructure/shim/rrc_manifold_assign.py", - "doc": "Manifold route hints with keyword patterns" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_manifold_refine.py", - "name": "rrc_manifold_refine.py", - "path": "4-Infrastructure/shim/rrc_manifold_refine.py", - "doc": "Require at least one title match" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_photonic_stress_test.py", - "name": "rrc_photonic_stress_test.py", - "path": "4-Infrastructure/shim/rrc_photonic_stress_test.py", - "doc": "\u2500\u2500 Perceval \u2014 core photonic simulator \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_pist_shape_alignment.py", - "name": "rrc_pist_shape_alignment.py", - "path": "4-Infrastructure/shim/rrc_pist_shape_alignment.py", - "doc": "Repo root (this file lives at 4-Infrastructure/shim/...)" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_ray_tagger.py", - "name": "rrc_ray_tagger.py", - "path": "4-Infrastructure/shim/rrc_ray_tagger.py", - "doc": "Math-symbol normalizer + geometry/tensor-notation kernel (same-dir shims)." - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_refactor_oracle.py", - "name": "rrc_refactor_oracle.py", - "path": "4-Infrastructure/shim/rrc_refactor_oracle.py", - "doc": "Greek epigenetic state \u2192 PRUNE/MERGE preference" - }, - { - "kind": "script", - "id": "script:4-Infrastructure/shim/rrc_root_system_probe.py", - "name": "rrc_root_system_probe.py", - "path": "4-Infrastructure/shim/rrc_root_system_probe.py", - "doc": "ADE Dynkin diagrams as (branch arm-length signatures). 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-theorem -rgflowStrip_preservesInvariant - - - -Semantics.AMMR->Semantics.AMMR.rgflowStrip_preservesInvariant - - -contains - - - -Semantics.AMMR.quaternionReductionUpdate_preservesInvariant - -theorem -quaternionReductionUpdate_preservesInvar - - - -Semantics.AMMR->Semantics.AMMR.quaternionReductionUpdate_preservesInvariant - - -contains - - - -Semantics.AMMR.defaultCarrierHealthValid - -theorem -defaultCarrierHealthValid - - - -Semantics.AMMR->Semantics.AMMR.defaultCarrierHealthValid - - -contains - - - -Semantics.AMMR.defaultAMMRStepLawful - -theorem -defaultAMMRStepLawful - - - -Semantics.AMMR->Semantics.AMMR.defaultAMMRStepLawful - - -contains - - - -Semantics.AMMR.rejectIncrementsMathScar - -theorem -rejectIncrementsMathScar - - - -Semantics.AMMR->Semantics.AMMR.rejectIncrementsMathScar - - -contains - - - -Semantics.AMMR.defaultStripRetainsAllChannels - -theorem -defaultStripRetainsAllChannels - - - -Semantics.AMMR->Semantics.AMMR.defaultStripRetainsAllChannels - - -contains - - - -Semantics.AMMR.torsionalTileQuaternion_isMediator - -theorem -torsionalTileQuaternion_isMediator - - - -Semantics.AMMR->Semantics.AMMR.torsionalTileQuaternion_isMediator - - -contains - - - -Semantics.AMMR.ammrStateFromTorsionalTile_usesTileInvariant - -theorem -ammrStateFromTorsionalTile_usesTileInvar - - - -Semantics.AMMR->Semantics.AMMR.ammrStateFromTorsionalTile_usesTileInvariant - - -contains - - - -Semantics.AMMR.zeroFailureMemory - -def -zeroFailureMemory - - - -Semantics.AMMR->Semantics.AMMR.zeroFailureMemory - - -contains - - - -Semantics.AMMR.defaultWitnessRoot - -def -defaultWitnessRoot - - - -Semantics.AMMR->Semantics.AMMR.defaultWitnessRoot - - -contains - - - -Semantics.AMMR.defaultStripPolicy - -def -defaultStripPolicy - - - -Semantics.AMMR->Semantics.AMMR.defaultStripPolicy - - -contains - - - -Semantics.AMMR.defaultState - -def -defaultState - - - -Semantics.AMMR->Semantics.AMMR.defaultState - - -contains - - - -Semantics.AMMR.invariantOf - -def -invariantOf - - - -Semantics.AMMR->Semantics.AMMR.invariantOf - - -contains - - - -Semantics.AMMR.projectK - -def -projectK - - - -Semantics.AMMR->Semantics.AMMR.projectK - - -contains - - - -Semantics.AMMR.rgflowStrip - -def -rgflowStrip - - - -Semantics.AMMR->Semantics.AMMR.rgflowStrip - - -contains - - - -Semantics.AMMR.rgflowStripRetainedChannels - -def -rgflowStripRetainedChannels - - - -Semantics.AMMR->Semantics.AMMR.rgflowStripRetainedChannels - - -contains - - - -Semantics.AMMR.validCarrierHealth - -def -validCarrierHealth - - - -Semantics.AMMR->Semantics.AMMR.validCarrierHealth - - -contains - - - -Semantics.AMMR.rgflowStripLawful - -def -rgflowStripLawful - - - -Semantics.AMMR->Semantics.AMMR.rgflowStripLawful - - -contains - - - -Semantics.AMMR.verdictAllowsRoute - -def -verdictAllowsRoute - - - -Semantics.AMMR->Semantics.AMMR.verdictAllowsRoute - - -contains - - - -Semantics.AMMR.rotorInverse - -def -rotorInverse - - - -Semantics.AMMR->Semantics.AMMR.rotorInverse - - -contains - - - -Semantics.AMMR.quaternionMotion - -def -quaternionMotion - - - -Semantics.AMMR->Semantics.AMMR.quaternionMotion - - -contains - - - -Semantics.AMMR.quaternionReductionUpdate - -def -quaternionReductionUpdate - - - -Semantics.AMMR->Semantics.AMMR.quaternionReductionUpdate - - -contains - - - -Semantics.AMMR.updateFailureMemory - -def -updateFailureMemory - - - -Semantics.AMMR->Semantics.AMMR.updateFailureMemory - - -contains - - - -Semantics.AMMR.ammrSafe - -def -ammrSafe - - - -Semantics.AMMR->Semantics.AMMR.ammrSafe - - -contains - - - -Semantics.AMMR.ammrStep - -def -ammrStep - - - -Semantics.AMMR->Semantics.AMMR.ammrStep - - -contains - - - -Semantics.AMMR.torsionalTileQuaternion - -def -torsionalTileQuaternion - - - -Semantics.AMMR->Semantics.AMMR.torsionalTileQuaternion - - -contains - - - -Semantics.AMMR.torsionalOISCStep - -def -torsionalOISCStep - - - -Semantics.AMMR->Semantics.AMMR.torsionalOISCStep - - -contains - - - -Semantics.AMMR.torsionalTileDelta - -def -torsionalTileDelta - - - -Semantics.AMMR->Semantics.AMMR.torsionalTileDelta - - -contains - - - -Semantics.Quaternion - -module -Quaternion - - - -Semantics.AMMR->Semantics.Quaternion - - -imports - - - -Semantics.ASCIIArtCompetition - -module -ASCIIArtCompetition - - - -Semantics.ASCIIArtCompetition.styleClassificationExactMatch - -theorem -styleClassificationExactMatch - - - -Semantics.ASCIIArtCompetition->Semantics.ASCIIArtCompetition.styleClassificationExactMatch - - -contains - - - -Semantics.ASCIIArtCompetition.zero - -def -zero - - - -Semantics.ASCIIArtCompetition->Semantics.ASCIIArtCompetition.zero - - -contains - - - -Semantics.ASCIIArtCompetition.one - -def -one - - - -Semantics.ASCIIArtCompetition->Semantics.ASCIIArtCompetition.one - - -contains - - - -Semantics.ASCIIArtCompetition.ofFrac - -def -ofFrac - - - -Semantics.ASCIIArtCompetition->Semantics.ASCIIArtCompetition.ofFrac - - -contains - - - -Semantics.ASCIIArtCompetition.toNat - -def -toNat - - - -Semantics.ASCIIArtCompetition->Semantics.ASCIIArtCompetition.toNat - - -contains - - - -Semantics.ASCIIArtCompetition.evaluateGenerationQuality - -def -evaluateGenerationQuality - - - -Semantics.ASCIIArtCompetition->Semantics.ASCIIArtCompetition.evaluateGenerationQuality - - -contains - - - -Semantics.ASCIIArtCompetition.evaluateStyleClassification - -def -evaluateStyleClassification - - - -Semantics.ASCIIArtCompetition->Semantics.ASCIIArtCompetition.evaluateStyleClassification - - -contains - - - -Semantics.ASCIIArtCompetition.evaluateSemanticSimilarity - -def -evaluateSemanticSimilarity - - - -Semantics.ASCIIArtCompetition->Semantics.ASCIIArtCompetition.evaluateSemanticSimilarity - - -contains - - - -Semantics.ASCIIArtStore - -module -ASCIIArtStore - - - -Semantics.ASCIIArtStore.lineCountEqualsHeight - -theorem -lineCountEqualsHeight - - - -Semantics.ASCIIArtStore->Semantics.ASCIIArtStore.lineCountEqualsHeight - - -contains - - - -Semantics.ASCIIArtStore.zero - -def -zero - - - -Semantics.ASCIIArtStore->Semantics.ASCIIArtStore.zero - - -contains - - - -Semantics.ASCIIArtStore.one - -def -one - - - -Semantics.ASCIIArtStore->Semantics.ASCIIArtStore.one - - -contains - - - -Semantics.ASCIIArtStore.ofFrac - -def -ofFrac - - - -Semantics.ASCIIArtStore->Semantics.ASCIIArtStore.ofFrac - - -contains - - - -Semantics.ASCIIArtStore.detectStyle - -def -detectStyle - - - -Semantics.ASCIIArtStore->Semantics.ASCIIArtStore.detectStyle - - -contains - - - -Semantics.ASCIIArtStore.analyzeLayout - -def -analyzeLayout - - - -Semantics.ASCIIArtStore->Semantics.ASCIIArtStore.analyzeLayout - - -contains - - - -Semantics.ASCIIArtStore.computeAspectRatio - -def -computeAspectRatio - - - -Semantics.ASCIIArtStore->Semantics.ASCIIArtStore.computeAspectRatio - - -contains - - - -Semantics.ASCIIArtStore.hasConsistentLines - -def -hasConsistentLines - - - -Semantics.ASCIIArtStore->Semantics.ASCIIArtStore.hasConsistentLines - - -contains - - - -Semantics.ASCIIGen - -module -ASCIIGen - - - -Semantics.ASCIIGen.asciiArtDatabase - -def -asciiArtDatabase - - - -Semantics.ASCIIGen->Semantics.ASCIIGen.asciiArtDatabase - - -contains - - - -Semantics.ASCIIGen.lookupASCIIArt - -def -lookupASCIIArt - - - -Semantics.ASCIIGen->Semantics.ASCIIGen.lookupASCIIArt - - -contains - - - -Semantics.ASCIIGen.lookupASCIIArtByCategory - -def -lookupASCIIArtByCategory - - - -Semantics.ASCIIGen->Semantics.ASCIIGen.lookupASCIIArtByCategory - - -contains - - - -Semantics.ASCIIGen.getASCIICategories - -def -getASCIICategories - - - -Semantics.ASCIIGen->Semantics.ASCIIGen.getASCIICategories - - -contains - - - -Semantics.ASCIIGen.purchaseASCIIArt - -def -purchaseASCIIArt - - - -Semantics.ASCIIGen->Semantics.ASCIIGen.purchaseASCIIArt - - -contains - - - -Semantics.ASCIIGen.analyzeASCIIEncoding - -def -analyzeASCIIEncoding - - - -Semantics.ASCIIGen->Semantics.ASCIIGen.analyzeASCIIEncoding - - -contains - - - -Semantics.ASCIIGen.emptyASCIIDataAccumulator - -def -emptyASCIIDataAccumulator - - - -Semantics.ASCIIGen->Semantics.ASCIIGen.emptyASCIIDataAccumulator - - -contains - - - -Semantics.ASCIIGen.updateASCIIDataAccumulator - -def -updateASCIIDataAccumulator - - - -Semantics.ASCIIGen->Semantics.ASCIIGen.updateASCIIDataAccumulator - - -contains - - - -Semantics.GenomicCompression - -module -GenomicCompression - - - -Semantics.ASCIIGen->Semantics.GenomicCompression - - -imports - - - -Semantics.ASICTopology - -module -ASICTopology - - - -Semantics.ASICTopology.findNode_some_if_exists - -theorem -findNode_some_if_exists - - - -Semantics.ASICTopology->Semantics.ASICTopology.findNode_some_if_exists - - -contains - - - -Semantics.ASICTopology.findNode_none_if_not_exists - -theorem -findNode_none_if_not_exists - - - -Semantics.ASICTopology->Semantics.ASICTopology.findNode_none_if_not_exists - - -contains - - - -Semantics.ASICTopology.findEdgesFrom_sourceId_correct - -theorem -findEdgesFrom_sourceId_correct - - - -Semantics.ASICTopology->Semantics.ASICTopology.findEdgesFrom_sourceId_correct - - -contains - - - -Semantics.ASICTopology.arbitraryCompute_never_admissible - -theorem -arbitraryCompute_never_admissible - - - -Semantics.ASICTopology->Semantics.ASICTopology.arbitraryCompute_never_admissible - - -contains - - - -Semantics.ASICTopology.checkOperationAdmissibility_deterministic - -theorem -checkOperationAdmissibility_deterministi - - - -Semantics.ASICTopology->Semantics.ASICTopology.checkOperationAdmissibility_deterministic - - -contains - - - -Semantics.ASICTopology.rtl8126Topology - -def -rtl8126Topology - - - -Semantics.ASICTopology->Semantics.ASICTopology.rtl8126Topology - - -contains - - - -Semantics.ASICTopology.findNode - -def -findNode - - - -Semantics.ASICTopology->Semantics.ASICTopology.findNode - - -contains - - - -Semantics.ASICTopology.findEdgesFrom - -def -findEdgesFrom - - - -Semantics.ASICTopology->Semantics.ASICTopology.findEdgesFrom - - -contains - - - -Semantics.ASICTopology.geodesicDistance - -def -geodesicDistance - - - -Semantics.ASICTopology->Semantics.ASICTopology.geodesicDistance - - -contains - - - -Semantics.ASICTopology.findOptimalPath - -def -findOptimalPath - - - -Semantics.ASICTopology->Semantics.ASICTopology.findOptimalPath - - -contains - - - -Semantics.ASICTopology.checkOperationAdmissibility - -def -checkOperationAdmissibility - - - -Semantics.ASICTopology->Semantics.ASICTopology.checkOperationAdmissibility - - -contains - - - -Semantics.ASICTopology.checkWorkloadAdmissibility - -def -checkWorkloadAdmissibility - - - -Semantics.ASICTopology->Semantics.ASICTopology.checkWorkloadAdmissibility - - -contains - - - -Semantics.ASICTopology.applyAngrySphinxGate - -def -applyAngrySphinxGate - - - -Semantics.ASICTopology->Semantics.ASICTopology.applyAngrySphinxGate - - -contains - - - -Semantics.ASICTopology.projectWorkloadToTopology - -def -projectWorkloadToTopology - - - -Semantics.ASICTopology->Semantics.ASICTopology.projectWorkloadToTopology - - -contains - - - -Semantics.ASICTopology.createASICToManifoldMapping - -def -createASICToManifoldMapping - - - -Semantics.ASICTopology->Semantics.ASICTopology.createASICToManifoldMapping - - -contains - - - -Semantics.ASICTopology.createManifoldToASICMapping - -def -createManifoldToASICMapping - - - -Semantics.ASICTopology->Semantics.ASICTopology.createManifoldToASICMapping - - -contains - - - -Semantics.ASICTopology.translateManifoldToASIC - -def -translateManifoldToASIC - - - -Semantics.ASICTopology->Semantics.ASICTopology.translateManifoldToASIC - - -contains - - - -Semantics.ASICTopology.translateASICToManifold - -def -translateASICToManifold - - - -Semantics.ASICTopology->Semantics.ASICTopology.translateASICToManifold - - -contains - - - -Semantics.ASICTopology.asicOptimizedAddressTranslation - -def -asicOptimizedAddressTranslation - - - -Semantics.ASICTopology->Semantics.ASICTopology.asicOptimizedAddressTranslation - - -contains - - - -Semantics.ASICTopology.asicOptimizedChecksum - -def -asicOptimizedChecksum - - - -Semantics.ASICTopology->Semantics.ASICTopology.asicOptimizedChecksum - - -contains - - - -Semantics.ASICTopology.performASICOptimizedOperation - -def -performASICOptimizedOperation - - - -Semantics.ASICTopology->Semantics.ASICTopology.performASICOptimizedOperation - - -contains - - - -Semantics.ASICTopology.asicInputInvariant - -def -asicInputInvariant - - - -Semantics.ASICTopology->Semantics.ASICTopology.asicInputInvariant - - -contains - - - -Semantics.ASICTopology.asicOutputInvariant - -def -asicOutputInvariant - - - -Semantics.ASICTopology->Semantics.ASICTopology.asicOutputInvariant - - -contains - - - -Semantics.ASICTopology.asicOperationCost - -def -asicOperationCost - - - -Semantics.ASICTopology->Semantics.ASICTopology.asicOperationCost - - -contains - - - -Semantics.ASICTopology.asicBind - -def -asicBind - - - -Semantics.ASICTopology->Semantics.ASICTopology.asicBind - - -contains - - - -Semantics.Bind - -module -Bind - - - -Semantics.ASICTopology->Semantics.Bind - - -imports - - - -Semantics.AVM - -module -AVM - - - -Semantics.AVM.setMemory - -def -setMemory - - - -Semantics.AVM->Semantics.AVM.setMemory - - -contains - - - -Semantics.AVM.bindStep - -def -bindStep - - - -Semantics.AVM->Semantics.AVM.bindStep - - -contains - - - -Semantics.AVM.step - -def -step - - - -Semantics.AVM->Semantics.AVM.step - - -contains - - - -Semantics.AVM.run - -def -run - - - -Semantics.AVM->Semantics.AVM.run - - -contains - - - -Semantics.AVM.runTrace - -def -runTrace - - - -Semantics.AVM->Semantics.AVM.runTrace - - -contains - - - -Semantics.FixedPoint - -module -FixedPoint - - - -Semantics.AVM->Semantics.FixedPoint - - -imports - - - -Semantics.AVMIsa.Emit - -module -Emit - - - -Semantics.AVMIsa.Emit.progNot - -def -progNot - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.progNot - - -contains - - - -Semantics.AVMIsa.Emit.progAnd - -def -progAnd - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.progAnd - - -contains - - - -Semantics.AVMIsa.Emit.progOr - -def -progOr - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.progOr - - -contains - - - -Semantics.AVMIsa.Emit.initState - -def -initState - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.initState - - -contains - - - -Semantics.AVMIsa.Emit.checkTopBool - -def -checkTopBool - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.checkTopBool - - -contains - - - -Semantics.AVMIsa.Emit.canaryReceipt - -def -canaryReceipt - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.canaryReceipt - - -contains - - - -Semantics.AVMIsa.Emit.canaryReceipts - -def -canaryReceipts - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.canaryReceipts - - -contains - - - -Semantics.AVMIsa.Emit.canaryLogogramReceipt - -def -canaryLogogramReceipt - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.canaryLogogramReceipt - - -contains - - - -Semantics.AVMIsa.Emit.jsonBool - -def -jsonBool - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.jsonBool - - -contains - - - -Semantics.AVMIsa.Emit.jsonStr - -def -jsonStr - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.jsonStr - - -contains - - - -Semantics.AVMIsa.Emit.jsonReceiptKind - -def -jsonReceiptKind - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.jsonReceiptKind - - -contains - - - -Semantics.AVMIsa.Emit.jsonReceipt - -def -jsonReceipt - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.jsonReceipt - - -contains - - - -Semantics.AVMIsa.Emit.jsonRRCShape - -def -jsonRRCShape - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.jsonRRCShape - - -contains - - - -Semantics.AVMIsa.Emit.jsonRegime - -def -jsonRegime - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.jsonRegime - - -contains - - - -Semantics.AVMIsa.Emit.jsonLane - -def -jsonLane - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.jsonLane - - -contains - - - -Semantics.AVMIsa.Emit.jsonLogogramReceipt - -def -jsonLogogramReceipt - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.jsonLogogramReceipt - - -contains - - - -Semantics.AVMIsa.Emit.jsonReceiptList - -def -jsonReceiptList - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.jsonReceiptList - - -contains - - - -Semantics.AVMIsa.Emit.emit - -def -emit - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.emit - - -contains - - - -Semantics.AVMIsa.Emit.emitRrcCorpus250 - -def -emitRrcCorpus250 - - - -Semantics.AVMIsa.Emit->Semantics.AVMIsa.Emit.emitRrcCorpus250 - - -contains - - - -Semantics.AVMIsa.Instr - -module -Instr - - - -Semantics.AVMIsa.Run - -module -Run - - - -Semantics.AVMIsa.Run.run - -def -run - - - -Semantics.AVMIsa.Run->Semantics.AVMIsa.Run.run - - -contains - - - -Semantics.AVMIsa.Run.canaryNot - -def -canaryNot - - - -Semantics.AVMIsa.Run->Semantics.AVMIsa.Run.canaryNot - - -contains - - - -Semantics.AVMIsa.Run.canaryState - -def -canaryState - - - -Semantics.AVMIsa.Run->Semantics.AVMIsa.Run.canaryState - - -contains - - - -Semantics.AVMIsa.State - -module -State - - - -Semantics.AVMIsa.State.getLocal - -def -getLocal - - - -Semantics.AVMIsa.State->Semantics.AVMIsa.State.getLocal - - -contains - - - -Semantics.AVMIsa.State.setLocal - -def -setLocal - - - -Semantics.AVMIsa.State->Semantics.AVMIsa.State.setLocal - - -contains - - - -Semantics.AVMIsa.Step - -module -Step - - - -Semantics.AVMIsa.Step.pop1 - -def -pop1 - - - -Semantics.AVMIsa.Step->Semantics.AVMIsa.Step.pop1 - - -contains - - - -Semantics.AVMIsa.Step.push1 - -def -push1 - - - -Semantics.AVMIsa.Step->Semantics.AVMIsa.Step.push1 - - -contains - - - -Semantics.AVMIsa.Step.evalPrim - -def -evalPrim - - - -Semantics.AVMIsa.Step->Semantics.AVMIsa.Step.evalPrim - - -contains - - - -Semantics.AVMIsa.Step.step - -def -step - - - -Semantics.AVMIsa.Step->Semantics.AVMIsa.Step.step - - -contains - - - -Semantics.AVMIsa.Types - -module -Types - - - -Semantics.AVMIsa.Value - -module -Value - - - -Semantics.AVMR - -module -AVMR - - - -Semantics.AVMR.resonanceHubDegeneracy - -theorem -resonanceHubDegeneracy - - - -Semantics.AVMR->Semantics.AVMR.resonanceHubDegeneracy - - -contains - - - -Semantics.AVMR.axialGeneratorExhaustivity - -theorem -axialGeneratorExhaustivity - - - -Semantics.AVMR->Semantics.AVMR.axialGeneratorExhaustivity - - -contains - - - -Semantics.AVMR.hyperbolaIndex - -def -hyperbolaIndex - - - -Semantics.AVMR->Semantics.AVMR.hyperbolaIndex - - -contains - - - -Semantics.AVMR.vectorField - -def -vectorField - - - -Semantics.AVMR->Semantics.AVMR.vectorField - - -contains - - - -Semantics.AVMRClassification - -module -AVMRClassification - - - -Semantics.AVMRClassification.classifyEvent - -def -classifyEvent - - - -Semantics.AVMRClassification->Semantics.AVMRClassification.classifyEvent - - -contains - - - -Mathlib - -mathlib -Mathlib - - - -Semantics.AVMRClassification->Mathlib - - -imports - - - -Semantics.AVMRCore - -module -AVMRCore - - - -Semantics.AVMRCore->Mathlib - - -imports - - - -Semantics.AVMRCore.squareShellIdentity - -theorem -squareShellIdentity - - - -Semantics.AVMRCore->Semantics.AVMRCore.squareShellIdentity - - -contains - - - -Semantics.AVMRCore.complementaryIdentity - -theorem -complementaryIdentity - - - -Semantics.AVMRCore->Semantics.AVMRCore.complementaryIdentity - - -contains - - - -Semantics.AVMRCore.shellState - -def -shellState - - - -Semantics.AVMRCore->Semantics.AVMRCore.shellState - - -contains - - - -Semantics.AVMRInformation - -module -AVMRInformation - - - -Semantics.AVMRInformation->Mathlib - - -imports - - - -Semantics.AVMRInformation.shellEntropyBound - -theorem -shellEntropyBound - - - -Semantics.AVMRInformation->Semantics.AVMRInformation.shellEntropyBound - - -contains - - - -Semantics.AVMRInformation.totalCodons - -theorem -totalCodons - - - -Semantics.AVMRInformation->Semantics.AVMRInformation.totalCodons - - -contains - - - -Semantics.AVMRInformation.avgDegeneracyCloseToE - -theorem -avgDegeneracyCloseToE - - - -Semantics.AVMRInformation->Semantics.AVMRInformation.avgDegeneracyCloseToE - - -contains - - - -Semantics.AVMRInformation.shellEntropy - -def -shellEntropy - - - -Semantics.AVMRInformation->Semantics.AVMRInformation.shellEntropy - - -contains - - - -Semantics.AVMRInformation.degeneracy - -def -degeneracy - - - -Semantics.AVMRInformation->Semantics.AVMRInformation.degeneracy - - -contains - - - -Semantics.AVMRProofs - -module -AVMRProofs - - - -Semantics.AVMRTheorems - -module -AVMRTheorems - - - -Semantics.AVMRTheorems->Mathlib - - -imports - - - -Semantics.AVMRTheorems.tipCoordinateMassResonance - -theorem -tipCoordinateMassResonance - - - -Semantics.AVMRTheorems->Semantics.AVMRTheorems.tipCoordinateMassResonance - - -contains - - - -Semantics.AVMRTheorems.massMidpoint - -theorem -massMidpoint - - - -Semantics.AVMRTheorems->Semantics.AVMRTheorems.massMidpoint - - -contains - - - -Semantics.AVMRTheorems.fortyFiveLineFactorRevelation - -theorem -fortyFiveLineFactorRevelation - - - -Semantics.AVMRTheorems->Semantics.AVMRTheorems.fortyFiveLineFactorRevelation - - -contains - - - -Semantics.AVMRTheorems.pronicFactorization - -theorem -pronicFactorization - - - -Semantics.AVMRTheorems->Semantics.AVMRTheorems.pronicFactorization - - -contains - - - -Semantics.AVMRTheorems.fortyFiveLineIsGC - -theorem -fortyFiveLineIsGC - - - -Semantics.AVMRTheorems->Semantics.AVMRTheorems.fortyFiveLineIsGC - - -contains - - - -Semantics.AVMRTheorems.missingLinkODE - -theorem -missingLinkODE - - - -Semantics.AVMRTheorems->Semantics.AVMRTheorems.missingLinkODE - - -contains - - - -Semantics.AVMRTheorems.gradientFlowForm - -theorem -gradientFlowForm - - - -Semantics.AVMRTheorems->Semantics.AVMRTheorems.gradientFlowForm - - -contains - - - -Semantics.AVMRTheorems.vectorFieldℝ_lipschitz - -theorem -vectorFieldℝ_lipschitz - - - -Semantics.AVMRTheorems->Semantics.AVMRTheorems.vectorFieldℝ_lipschitz - - -contains - - - -Semantics.AVMRTheorems.base_dynamics - -theorem -base_dynamics - - - -Semantics.AVMRTheorems->Semantics.AVMRTheorems.base_dynamics - - -contains - - - -Semantics.AVMRTheorems.ode_existence - -theorem -ode_existence - - - -Semantics.AVMRTheorems->Semantics.AVMRTheorems.ode_existence - - -contains - - - -Semantics.AbelianSandpileRouting - -module -AbelianSandpileRouting - - - -Semantics.AbelianSandpileRouting.refineModeWithForest_close_verified - -theorem -refineModeWithForest_close_verified - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.refineModeWithForest_close_verified - - -contains - - - -Semantics.AbelianSandpileRouting.chooseForestProfileRoute_address_range - -theorem -chooseForestProfileRoute_address_range - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.chooseForestProfileRoute_address_range - - -contains - - - -Semantics.AbelianSandpileRouting.selectMorphicMode_close - -theorem -selectMorphicMode_close - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.selectMorphicMode_close - - -contains - - - -Semantics.AbelianSandpileRouting.selectMorphicMode_far - -theorem -selectMorphicMode_far - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.selectMorphicMode_far - - -contains - - - -Semantics.AbelianSandpileRouting.chooseProfileRoute_close_action - -theorem -chooseProfileRoute_close_action - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.chooseProfileRoute_close_action - - -contains - - - -Semantics.AbelianSandpileRouting.allNeuronalProfiles_nonempty - -theorem -allNeuronalProfiles_nonempty - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.allNeuronalProfiles_nonempty - - -contains - - - -Semantics.AbelianSandpileRouting.totalLoad_topple - -theorem -totalLoad_topple - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.totalLoad_topple - - -contains - - - -Semantics.AbelianSandpileRouting.topple_commute - -theorem -topple_commute - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.topple_commute - - -contains - - - -Semantics.AbelianSandpileRouting.runRoute_pair_swap - -theorem -runRoute_pair_swap - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.runRoute_pair_swap - - -contains - - - -Semantics.AbelianSandpileRouting.routingProof_sound - -theorem -routingProof_sound - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.routingProof_sound - - -contains - - - -Semantics.AbelianSandpileRouting.allNeuronalProfiles - -def -allNeuronalProfiles - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.allNeuronalProfiles - - -contains - - - -Semantics.AbelianSandpileRouting.profilePattern - -def -profilePattern - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.profilePattern - - -contains - - - -Semantics.AbelianSandpileRouting.profileFamily - -def -profileFamily - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.profileFamily - - -contains - - - -Semantics.AbelianSandpileRouting.natAbsDiff - -def -natAbsDiff - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.natAbsDiff - - -contains - - - -Semantics.AbelianSandpileRouting.selectMorphicMode - -def -selectMorphicMode - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.selectMorphicMode - - -contains - - - -Semantics.AbelianSandpileRouting.morphicModeToAction - -def -morphicModeToAction - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.morphicModeToAction - - -contains - - - -Semantics.AbelianSandpileRouting.bin8OfNat - -def -bin8OfNat - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.bin8OfNat - - -contains - - - -Semantics.AbelianSandpileRouting.forestGenome - -def -forestGenome - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.forestGenome - - -contains - - - -Semantics.AbelianSandpileRouting.forestSignalsForProfile - -def -forestSignalsForProfile - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.forestSignalsForProfile - - -contains - - - -Semantics.AbelianSandpileRouting.refineModeWithForest - -def -refineModeWithForest - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.refineModeWithForest - - -contains - - - -Semantics.AbelianSandpileRouting.chooseProfileRoute - -def -chooseProfileRoute - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.chooseProfileRoute - - -contains - - - -Semantics.AbelianSandpileRouting.chooseForestProfileRoute - -def -chooseForestProfileRoute - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.chooseForestProfileRoute - - -contains - - - -Semantics.AbelianSandpileRouting.emittedLoad - -def -emittedLoad - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.emittedLoad - - -contains - - - -Semantics.AbelianSandpileRouting.toppleDelta - -def -toppleDelta - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.toppleDelta - - -contains - - - -Semantics.AbelianSandpileRouting.topple - -def -topple - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.topple - - -contains - - - -Semantics.AbelianSandpileRouting.runRoute - -def -runRoute - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.runRoute - - -contains - - - -Semantics.AbelianSandpileRouting.totalLoad - -def -totalLoad - - - -Semantics.AbelianSandpileRouting->Semantics.AbelianSandpileRouting.totalLoad - - -contains - - - -Mathlib.Data.Fin.Basic - -mathlib -Mathlib.Data.Fin.Basic - - - -Semantics.AbelianSandpileRouting->Mathlib.Data.Fin.Basic - - -imports - - - -Semantics.Adaptation - -module -Adaptation - - - -Semantics.Adaptation.flowAuditLoopFinalEqEventually - -theorem -flowAuditLoopFinalEqEventually - - - -Semantics.Adaptation->Semantics.Adaptation.flowAuditLoopFinalEqEventually - - -contains - - - -Semantics.Adaptation.finalLawfulEqEventuallyLawful - -theorem -finalLawfulEqEventuallyLawful - - - -Semantics.Adaptation->Semantics.Adaptation.finalLawfulEqEventuallyLawful - - -contains - - - -Semantics.Adaptation.Genome - -def -Genome - - - -Semantics.Adaptation->Semantics.Adaptation.Genome - - -contains - - - -Semantics.Adaptation->Semantics.Adaptation.Genome - - -contains - - - -Semantics.Adaptation->Semantics.Adaptation.Genome - - -contains - - - -Semantics.Adaptation->Semantics.Adaptation.Genome - - -contains - - - -Semantics.Adaptation->Semantics.Adaptation.Genome - - -contains - - - -Semantics.Adaptation->Semantics.Adaptation.Genome - - -contains - - - -Semantics.Adaptation->Semantics.Adaptation.Genome - - -contains - - - -Semantics.Adaptation.isLawful - -def -isLawful - - - -Semantics.Adaptation->Semantics.Adaptation.isLawful - - -contains - - - -Semantics.Adaptation.betaStep - -def -betaStep - - - -Semantics.Adaptation->Semantics.Adaptation.betaStep - - -contains - - - -Semantics.Adaptation.isScaleCoherent - -def -isScaleCoherent - - - -Semantics.Adaptation->Semantics.Adaptation.isScaleCoherent - - -contains - - - -Semantics.Adaptation.flowAuditLoop - -def -flowAuditLoop - - - -Semantics.Adaptation->Semantics.Adaptation.flowAuditLoop - - -contains - - - -Semantics.Adaptation.flowAudit - -def -flowAudit - - - -Semantics.Adaptation->Semantics.Adaptation.flowAudit - - -contains - - - -Semantics.Adaptation.witnessLowNe - -def -witnessLowNe - - - -Semantics.Adaptation->Semantics.Adaptation.witnessLowNe - - -contains - - - -Semantics.Adaptation.witnessAttractor - -def -witnessAttractor - - - -Semantics.Adaptation->Semantics.Adaptation.witnessAttractor - - -contains - - - -Semantics.Adaptation.witnessBoundary - -def -witnessBoundary - - - -Semantics.Adaptation->Semantics.Adaptation.witnessBoundary - - -contains - - - -Semantics.Basic - -module -Basic - - - -Semantics.Adaptation->Semantics.Basic - - -imports - - - -Semantics.Adapters.AlphaProofNexus.Bridge - -module -Bridge - - - -Semantics.Adapters.AlphaProofNexus.Bridge.apn_bridge_reference - -theorem -apn_bridge_reference - - - -Semantics.Adapters.AlphaProofNexus.Bridge->Semantics.Adapters.AlphaProofNexus.Bridge.apn_bridge_reference - - -contains - - - -Semantics.Adapters.AlphaProofNexus.Bridge.sumset - -def -sumset - - - -Semantics.Adapters.AlphaProofNexus.Bridge->Semantics.Adapters.AlphaProofNexus.Bridge.sumset - - -contains - - - -Mathlib.Data.Finset.Basic - -mathlib -Mathlib.Data.Finset.Basic - - - -Semantics.Adapters.AlphaProofNexus.Bridge->Mathlib.Data.Finset.Basic - - -imports - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction - -module -bipartite_reconstruction - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.isBipartiteWith_deleteIncidenceSet - -theorem -isBipartiteWith_deleteIncidenceSet - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.isBipartiteWith_deleteIncidenceSet - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degreeProfile_eq - -theorem -degreeProfile_eq - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degreeProfile_eq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.multiset_map_eq_implies_bij - -theorem -multiset_map_eq_implies_bij - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.multiset_map_eq_implies_bij - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.BipartiteIso_edgeCount - -theorem -BipartiteIso_edgeCount - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.BipartiteIso_edgeCount - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.edgeCount_deleteIncidenceSet - -theorem -edgeCount_deleteIncidenceSet - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.edgeCount_deleteIncidenceSet - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.classEdgeCount_eq - -theorem -classEdgeCount_eq - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.classEdgeCount_eq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.bipartiteDeck_edgeCountDeck - -theorem -bipartiteDeck_edgeCountDeck - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.bipartiteDeck_edgeCountDeck - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.sum_edgeCount_deleteIncidenceSet - -theorem -sum_edgeCount_deleteIncidenceSet - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.sum_edgeCount_deleteIncidenceSet - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.sum_classEdgeCount_deck - -theorem -sum_classEdgeCount_deck - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.sum_classEdgeCount_deck - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.multiset_sum_eq - -theorem -multiset_sum_eq - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.multiset_sum_eq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.bipartiteDeck_determines_edgeCount - -theorem -bipartiteDeck_determines_edgeCount - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.bipartiteDeck_determines_edgeCount - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.deck_edgeCounts_eq - -theorem -deck_edgeCounts_eq - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.deck_edgeCounts_eq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degreeMultiset_eq_map_edgeCount - -theorem -degreeMultiset_eq_map_edgeCount - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degreeMultiset_eq_map_edgeCount - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.bipartiteDeck_determines_degreeMultiset - -theorem -bipartiteDeck_determines_degreeMultiset - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.bipartiteDeck_determines_degreeMultiset - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degreeMultiset_eq_of_bipartiteIso - -theorem -degreeMultiset_eq_of_bipartiteIso - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degreeMultiset_eq_of_bipartiteIso - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degree_deleteIncidenceSet - -theorem -degree_deleteIncidenceSet - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degree_deleteIncidenceSet - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeMultiset - -theorem -count_degreeMultiset - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeMultiset - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeMultiset_del - -theorem -count_degreeMultiset_del - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeMultiset_del - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeProfile_eq - -theorem -count_degreeProfile_eq - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeProfile_eq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.sum_indicator_eq - -theorem -sum_indicator_eq - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.sum_indicator_eq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeMultiset_deleteIncidenceSet_add - -theorem -count_degreeMultiset_deleteIncidenceSet_ - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeMultiset_deleteIncidenceSet_add - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.eq_of_add_eq_add_succ - -theorem -eq_of_add_eq_add_succ - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.eq_of_add_eq_add_succ - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeProfile_eq_zero - -theorem -count_degreeProfile_eq_zero - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.count_degreeProfile_eq_zero - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.profile_eq_of_iso - -theorem -profile_eq_of_iso - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.profile_eq_of_iso - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.unique_isolated_of_2_connected - -theorem -unique_isolated_of_2_connected - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.unique_isolated_of_2_connected - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.iso_maps_isolated - -theorem -iso_maps_isolated - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.iso_maps_isolated - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.f_preserves_partitions - -theorem -f_preserves_partitions - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.f_preserves_partitions - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.connected_of_induce_connected - -theorem -connected_of_induce_connected - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.connected_of_induce_connected - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.unique_isolated_mapped - -theorem -unique_isolated_mapped - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.unique_isolated_mapped - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.deleteIncidenceSet_induce_connected - -theorem -deleteIncidenceSet_induce_connected - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.deleteIncidenceSet_induce_connected - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.bipartiteDeck - -def -bipartiteDeck - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.bipartiteDeck - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degreeProfile - -def -degreeProfile - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degreeProfile - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.τ - -def -τ - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.τ - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.R - -def -R - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.R - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.R - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.doubleDeck - -def -doubleDeck - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.doubleDeck - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.BipartiteIso_refl - -def -BipartiteIso_refl - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.BipartiteIso_refl - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.BipartiteIso_symm - -def -BipartiteIso_symm - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.BipartiteIso_symm - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degreeMultiset - -def -degreeMultiset - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.degreeMultiset - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.typeDrop - -def -typeDrop - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.typeDrop - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.rightV_types - -def -rightV_types - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.rightV_types - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.S_multiset - -def -S_multiset - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.S_multiset - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.T_multiset - -def -T_multiset - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.T_multiset - - -contains - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.typeProfile - -def -typeProfile - - - -Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction->Semantics.Adapters.AlphaProofNexus.bipartite_reconstruction.typeProfile - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i - -module -i - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.exists_prime_bounded - -theorem -exists_prime_bounded - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.exists_prime_bounded - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.q_prime - -theorem -q_prime - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.q_prime - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.q_gt - -theorem -q_gt - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.q_gt - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.q_ge_5 - -theorem -q_ge_5 - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.q_ge_5 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.K_pos - -theorem -K_pos - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.K_pos - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.P_pos - -theorem -P_pos - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.P_pos - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.M_succ - -theorem -M_succ - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.M_succ - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.pow_eight_le - -theorem -pow_eight_le - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.pow_eight_le - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.M_increasing - -theorem -M_increasing - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.M_increasing - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.M_monotone - -theorem -M_monotone - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.M_monotone - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.m_le_of_lt - -theorem -m_le_of_lt - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.m_le_of_lt - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.q_dvd_K - -theorem -q_dvd_K - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.q_dvd_K - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.mod_q_of_lt - -theorem -mod_q_of_lt - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.mod_q_of_lt - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.q_div_a - -theorem -q_div_a - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.q_div_a - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.K_mod_3 - -theorem -K_mod_3 - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.K_mod_3 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.mod_3_eq_1 - -theorem -mod_3_eq_1 - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.mod_3_eq_1 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.prime_dvd_K - -theorem -prime_dvd_K - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.prime_dvd_K - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.K_q_coprime - -theorem -K_q_coprime - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.K_q_coprime - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.K_ge_3 - -theorem -K_ge_3 - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.K_ge_3 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.P_dvd_M - -theorem -P_dvd_M - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.P_dvd_M - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.K_dvd_P - -theorem -K_dvd_P - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.K_dvd_P - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.q_dvd_P - -theorem -q_dvd_P - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.q_dvd_P - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.K_dvd_M - -theorem -K_dvd_M - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.K_dvd_M - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.q_dvd_M - -theorem -q_dvd_M - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.q_dvd_M - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.pow_four_le - -theorem -pow_four_le - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.pow_four_le - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.x_val_lt_P - -theorem -x_val_lt_P - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.x_val_lt_P - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.x_val_mod_K - -theorem -x_val_mod_K - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.x_val_mod_K - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.x_val_mod_q - -theorem -x_val_mod_q - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.x_val_mod_q - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.exists_good_in_block - -theorem -exists_good_in_block - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.exists_good_in_block - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.M_gt_m - -theorem -M_gt_m - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.M_gt_m - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.MyGoodSet - -def -MyGoodSet - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.i.MyGoodSet - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii - -module -ii - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.not_infinite_iff_eventually - -theorem -not_infinite_iff_eventually - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.not_infinite_iff_eventually - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_case_same - -theorem -sarkozy_case_same - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_case_same - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_case_diff2 - -theorem -sarkozy_case_diff2 - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_case_diff2 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_case_diff1 - -theorem -sarkozy_case_diff1 - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_case_diff1 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_implies_good - -theorem -sarkozy_implies_good - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_implies_good - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_seq_of_aux - -theorem -sarkozy_seq_of_aux - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_seq_of_aux - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_primes - -theorem -sarkozy_primes - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_primes - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.mod_eq_of_mod_mul - -theorem -mod_eq_of_mod_mul - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.mod_eq_of_mod_mul - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_CRT_single - -theorem -sarkozy_CRT_single - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_CRT_single - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_CRT - -theorem -sarkozy_CRT - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.sarkozy_CRT - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.P_n_mod_pn - -theorem -P_n_mod_pn - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.P_n_mod_pn - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.P_n_mod_pm - -theorem -P_n_mod_pm - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.P_n_mod_pm - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.P_n_def_pos - -theorem -P_n_def_pos - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.P_n_def_pos - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.M_n_growth - -theorem -M_n_growth - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.M_n_growth - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.B_n_props - -theorem -B_n_props - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.B_n_props - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.valid_M_seq_gap - -theorem -valid_M_seq_gap - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.valid_M_seq_gap - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.prod_p_bound - -theorem -prod_p_bound - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.prod_p_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.P_n_bound - -theorem -P_n_bound - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.P_n_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.exponent_bound - -theorem -exponent_bound - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.exponent_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.exists_valid_M_seq - -theorem -exists_valid_M_seq - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.exists_valid_M_seq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.B_seq_infinite - -theorem -B_seq_infinite - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.B_seq_infinite - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.B_seq_nonempty - -theorem -B_seq_nonempty - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.B_seq_nonempty - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.B_seq_ncard - -theorem -B_seq_ncard - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.B_seq_ncard - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.exists_M_n_and_B_n - -theorem -exists_M_n_and_B_n - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.exists_M_n_and_B_n - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.exists_sarkozy_seq_aux - -theorem -exists_sarkozy_seq_aux - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.exists_sarkozy_seq_aux - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.exists_sarkozy_seq - -theorem -exists_sarkozy_seq - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.exists_sarkozy_seq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.exists_good_set_dense_c_lt_1 - -theorem -exists_good_set_dense_c_lt_1 - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.exists_good_set_dense_c_lt_1 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.target_theorem_0 - -theorem -target_theorem_0 - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.target_theorem_0 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.IsGoodSarkozySeq - -def -IsGoodSarkozySeq - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.IsGoodSarkozySeq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.P_n_def - -def -P_n_def - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.P_n_def - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.ValidMSeq - -def -ValidMSeq - - - -Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_12.parts.ii.ValidMSeq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density - -module -positive_lower_density - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.zero_in_A - -theorem -zero_in_A - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.zero_in_A - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.zero_in_B - -theorem -zero_in_B - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.zero_in_B - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.zero_in_A_plus_B - -theorem -zero_in_A_plus_B - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.zero_in_A_plus_B - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.A_max_k - -theorem -A_max_k - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.A_max_k - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.B_max_m - -theorem -B_max_m - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.B_max_m - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.A_B_gap - -theorem -A_B_gap - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.A_B_gap - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.A_decomp - -theorem -A_decomp - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.A_decomp - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.B_decomp - -theorem -B_decomp - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.B_decomp - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.log_ratio_irrational - -theorem -log_ratio_irrational - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.log_ratio_irrational - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.exists_small_pos_lin_comb_help - -theorem -exists_small_pos_lin_comb_help - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.exists_small_pos_lin_comb_help - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.exists_small_pos_lin_comb - -theorem -exists_small_pos_lin_comb - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.exists_small_pos_lin_comb - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.exists_small_pos_lin_comb_large_k - -theorem -exists_small_pos_lin_comb_large_k - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.exists_small_pos_lin_comb_large_k - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.dirichlet_approx - -theorem -dirichlet_approx - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.dirichlet_approx - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.hz_eq_lemma - -theorem -hz_eq_lemma - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.hz_eq_lemma - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.scale_step - -theorem -scale_step - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.scale_step - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.density_multi_scale - -theorem -density_multi_scale - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.density_multi_scale - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.limit_11_12 - -theorem -limit_11_12 - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.limit_11_12 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.density_tends_to_zero - -theorem -density_tends_to_zero - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.density_tends_to_zero - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.target_theorem_0 - -theorem -target_theorem_0 - - - -Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density->Semantics.Adapters.AlphaProofNexus.erdos_125.variants.positive_lower_density.target_theorem_0 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference - -module -difference - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.ap_must_end - -theorem -ap_must_end - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.ap_must_end - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.extend_one_step - -theorem -extend_one_step - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.extend_one_step - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.has_mono_ap_ext - -theorem -has_mono_ap_ext - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.has_mono_ap_ext - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.extend_j_steps - -theorem -extend_j_steps - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.extend_j_steps - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.card_ap_eq_k - -theorem -card_ap_eq_k - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.card_ap_eq_k - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.card_ap_pos_d - -theorem -card_ap_pos_d - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.card_ap_pos_d - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.contains_mono_ap_imp - -theorem -contains_mono_ap_imp - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.contains_mono_ap_imp - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.imp_contains_mono_ap - -theorem -imp_contains_mono_ap - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.imp_contains_mono_ap - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.not_guarantee_extend - -theorem -not_guarantee_extend - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.not_guarantee_extend - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.not_in_set_of_lt_sInf - -theorem -not_in_set_of_lt_sInf - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.not_in_set_of_lt_sInf - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.U_limit_color_mem - -theorem -U_limit_color_mem - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.U_limit_color_mem - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.U_inter_mem - -theorem -U_inter_mem - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.U_inter_mem - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.U_atTop_mem_large - -theorem -U_atTop_mem_large - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.U_atTop_mem_large - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.W_is_nonempty - -theorem -W_is_nonempty - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.W_is_nonempty - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.Icc_subset_succ - -theorem -Icc_subset_succ - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.Icc_subset_succ - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.guarantee_upward_closed - -theorem -guarantee_upward_closed - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.guarantee_upward_closed - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.not_in_guarantee_lt_sInf - -theorem -not_in_guarantee_lt_sInf - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.not_in_guarantee_lt_sInf - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.W_not_guarantee - -theorem -W_not_guarantee - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.W_not_guarantee - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.W_diff_bound_gt0 - -theorem -W_diff_bound_gt0 - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.W_diff_bound_gt0 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.W_diff_ge_k - -theorem -W_diff_ge_k - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.W_diff_ge_k - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.W_diff_ge_k_all - -theorem -W_diff_ge_k_all - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.W_diff_ge_k_all - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.target_theorem_0 - -theorem -target_theorem_0 - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.target_theorem_0 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.monoAP_guarantee_set - -def -monoAP_guarantee_set - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.monoAP_guarantee_set - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.HasMonoAP - -def -HasMonoAP - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.HasMonoAP - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.extend_coloring - -def -extend_coloring - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.extend_coloring - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.ap_equiv - -def -ap_equiv - - - -Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference->Semantics.Adapters.AlphaProofNexus.erdos_138.variants.difference.ap_equiv - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152 - -module -erdos_152 - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.H_val - -theorem -H_val - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.H_val - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.sum_H - -theorem -sum_H - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.sum_H - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.universal_parity_3 - -theorem -universal_parity_3 - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.universal_parity_3 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.I_identity_Z - -theorem -I_identity_Z - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.I_identity_Z - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.C_bound - -theorem -C_bound - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.C_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.C1_bound - -theorem -C1_bound - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.C1_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.C2_bound - -theorem -C2_bound - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.C2_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.C34_bound - -theorem -C34_bound - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.C34_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.local_pattern_C_Z - -theorem -local_pattern_C_Z - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.local_pattern_C_Z - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.local_pattern_bound_Z_hN - -theorem -local_pattern_bound_Z_hN - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.local_pattern_bound_Z_hN - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.local_pattern_bound_Z - -theorem -local_pattern_bound_Z - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.local_pattern_bound_Z - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.num_isolated_Z_rel - -theorem -num_isolated_Z_rel - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.num_isolated_Z_rel - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.N_k_Z_rel_1 - -theorem -N_k_Z_rel_1 - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.N_k_Z_rel_1 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.N_k_Z_rel_2 - -theorem -N_k_Z_rel_2 - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.N_k_Z_rel_2 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.N_k_Z_rel_3 - -theorem -N_k_Z_rel_3 - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.N_k_Z_rel_3 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.Z_S_card - -theorem -Z_S_card - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.Z_S_card - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_Q0 - -theorem -quad_upper_Q0 - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_Q0 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_Qk_inj - -theorem -quad_upper_Qk_inj - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_Qk_inj - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_Qk_im - -theorem -quad_upper_Qk_im - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_Qk_im - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_Qk - -theorem -quad_upper_Qk - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_Qk - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_other_inj - -theorem -quad_upper_other_inj - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_other_inj - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_other_im - -theorem -quad_upper_other_im - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_other_im - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_other - -theorem -quad_upper_other - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_other - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_part - -theorem -quad_upper_part - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper_part - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper - -theorem -quad_upper - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_upper - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_fiber_subset - -theorem -quad_fiber_subset - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_fiber_subset - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_fiber_card - -theorem -quad_fiber_card - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_fiber_card - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_fiber_disjoint - -theorem -quad_fiber_disjoint - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_fiber_disjoint - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_lower_sub_fin - -theorem -quad_lower_sub_fin - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_lower_sub_fin - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_lower_sub - -theorem -quad_lower_sub - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_lower_sub - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.C_set_Z - -def -C_set_Z - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.C_set_Z - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.C1 - -def -C1 - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.C1 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.C2 - -def -C2 - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.C2 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.C3 - -def -C3 - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.C3 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.C4 - -def -C4 - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.C4 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.quad_k_N - -def -quad_k_N - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.quad_k_N - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_152.S_good - -def -S_good - - - -Semantics.Adapters.AlphaProofNexus.erdos_152->Semantics.Adapters.AlphaProofNexus.erdos_152.S_good - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum - -module -tenenbaum - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.exists_x_P_ind - -theorem -exists_x_P_ind - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.exists_x_P_ind - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.sum_ap_zero - -theorem -sum_ap_zero - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.sum_ap_zero - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.sum_ap_succ - -theorem -sum_ap_succ - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.sum_ap_succ - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.exists_L_ge - -theorem -exists_L_ge - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.exists_L_ge - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.exists_L_sum - -theorem -exists_L_sum - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.exists_L_sum - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.exists_next_state - -theorem -exists_next_state - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.exists_next_state - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.exists_next_state_tuple - -theorem -exists_next_state_tuple - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.exists_next_state_tuple - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.step_valid - -theorem -step_valid - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.step_valid - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_set_infinite - -theorem -seqA_set_infinite - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_set_infinite - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_strict_mono - -theorem -seqA_strict_mono - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_strict_mono - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_range - -theorem -seqA_range - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_range - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_bijective - -theorem -seqA_bijective - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_bijective - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_sum_1 - -theorem -seqA_sum_1 - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_sum_1 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.max_A_j_mono - -theorem -max_A_j_mono - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.max_A_j_mono - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.A_j_disjoint_lt - -theorem -A_j_disjoint_lt - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.A_j_disjoint_lt - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.A_j_unique - -theorem -A_j_unique - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.A_j_unique - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_sigma_bijective - -theorem -seqA_sigma_bijective - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_sigma_bijective - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_sum_blocks_2 - -theorem -seqA_sum_blocks_2 - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_sum_blocks_2 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.tsum_Finset_eq_sum_Finset - -theorem -tsum_Finset_eq_sum_Finset - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.tsum_Finset_eq_sum_Finset - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_sum_blocks_3 - -theorem -seqA_sum_blocks_3 - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_sum_blocks_3 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_sum_blocks_4 - -theorem -seqA_sum_blocks_4 - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_sum_blocks_4 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_sum_blocks_5 - -theorem -seqA_sum_blocks_5 - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_sum_blocks_5 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_thick - -theorem -seqA_thick - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_thick - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.M_val_card_bound - -theorem -M_val_card_bound - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.M_val_card_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.exists_j1 - -theorem -exists_j1 - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.exists_j1 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_multiples_subset - -theorem -seqA_multiples_subset - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.seqA_multiples_subset - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.block_multiples_A_subset_prime - -theorem -block_multiples_A_subset_prime - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.block_multiples_A_subset_prime - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.card_future_blocks_bound - -theorem -card_future_blocks_bound - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.card_future_blocks_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.filter_bUnion_le_sum_card - -theorem -filter_bUnion_le_sum_card - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.filter_bUnion_le_sum_card - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.filter_Union_le_sum_card_Icc - -theorem -filter_Union_le_sum_card_Icc - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.filter_Union_le_sum_card_Icc - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.IsThick - -def -IsThick - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.IsThick - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.MultiplesOf - -def -MultiplesOf - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.MultiplesOf - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.IsBehrend - -def -IsBehrend - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.IsBehrend - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.IsWeaklyBehrend - -def -IsWeaklyBehrend - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.IsWeaklyBehrend - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.ValidStep - -def -ValidStep - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.ValidStep - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.M_val - -def -M_val - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.M_val - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.block_multiples_A - -def -block_multiples_A - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.block_multiples_A - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.X_seq - -def -X_seq - - - -Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum->Semantics.Adapters.AlphaProofNexus.erdos_26.variants.tenenbaum.X_seq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i - -module -i - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.split1_bound - -theorem -split1_bound - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.split1_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.split1_mod - -theorem -split1_mod - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.split1_mod - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1_sum_mod - -theorem -B1_sum_mod - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1_sum_mod - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.split1_div - -theorem -split1_div - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.split1_div - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1_sum_div - -theorem -B1_sum_div - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1_sum_div - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1_sum_digit - -theorem -B1_sum_digit - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1_sum_digit - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1_sum_no_digit3 - -theorem -B1_sum_no_digit3 - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1_sum_no_digit3 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.base3_to_base4_bound - -theorem -base3_to_base4_bound - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.base3_to_base4_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.base3_to_base4_lt_4_pow - -theorem -base3_to_base4_lt_4_pow - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.base3_to_base4_lt_4_pow - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.missing_3_exists_base3 - -theorem -missing_3_exists_base3 - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.missing_3_exists_base3 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.base3_to_base4_lt_4_pow_iff - -theorem -base3_to_base4_lt_4_pow_iff - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.base3_to_base4_lt_4_pow_iff - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1_sum_subset_image - -theorem -B1_sum_subset_image - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1_sum_subset_image - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1_sum_ncard - -theorem -B1_sum_ncard - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1_sum_ncard - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.split2_even - -theorem -split2_even - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.split2_even - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B2_sum_even - -theorem -B2_sum_even - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B2_sum_even - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.split2_eq_two_mul_split1 - -theorem -split2_eq_two_mul_split1 - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.split2_eq_two_mul_split1 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B2_sum_digit - -theorem -B2_sum_digit - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B2_sum_digit - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B2_sum_no_digit3 - -theorem -B2_sum_no_digit3 - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B2_sum_no_digit3 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B2_sum_subset_image - -theorem -B2_sum_subset_image - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B2_sum_subset_image - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B2_sum_ncard - -theorem -B2_sum_ncard - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B2_sum_ncard - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.split_add - -theorem -split_add - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.split_add - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1_add_B2_eq_univ - -theorem -B1_add_B2_eq_univ - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1_add_B2_eq_univ - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B_add_B_eq_univ - -theorem -B_add_B_eq_univ - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B_add_B_eq_univ - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.SandorA_add_SandorA_eq_univ - -theorem -SandorA_add_SandorA_eq_univ - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.SandorA_add_SandorA_eq_univ - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.univ_has_density_one - -theorem -univ_has_density_one - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.univ_has_density_one - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.univ_has_pos_density - -theorem -univ_has_pos_density - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.univ_has_pos_density - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.SandorA_has_pos_density - -theorem -SandorA_has_pos_density - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.SandorA_has_pos_density - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.tendsto_Sx - -theorem -tendsto_Sx - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.tendsto_Sx - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.tendsto_Sy - -theorem -tendsto_Sy - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.tendsto_Sy - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.finset_card_add - -theorem -finset_card_add - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.finset_card_add - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.S_x - -def -S_x - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.S_x - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.S_y - -def -S_y - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.S_y - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.S_C - -def -S_C - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.S_C - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1 - -def -B1 - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B1 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B2 - -def -B2 - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B2 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B - -def -B - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.B - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.SandorA - -def -SandorA - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.i.SandorA - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii - -module -ii - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.basis_of_order_two_iff - -theorem -basis_of_order_two_iff - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.basis_of_order_two_iff - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.answer_true_iff - -theorem -answer_true_iff - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.answer_true_iff - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.miss_gap - -theorem -miss_gap - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.miss_gap - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.not_syndetic_of_large_gaps - -theorem -not_syndetic_of_large_gaps - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.not_syndetic_of_large_gaps - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.subset_union_blocks - -theorem -subset_union_blocks - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.subset_union_blocks - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.sum_subset_union_sum - -theorem -sum_subset_union_sum - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.sum_subset_union_sum - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.add_zero_subset - -theorem -add_zero_subset - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.add_zero_subset - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.icc_nonempty_custom - -theorem -icc_nonempty_custom - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.icc_nonempty_custom - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.icc_subset_complement - -theorem -icc_subset_complement - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.icc_subset_complement - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.syndetic_not_large_gaps - -theorem -syndetic_not_large_gaps - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.syndetic_not_large_gaps - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.has_gaps_mono - -theorem -has_gaps_mono - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.has_gaps_mono - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.infinite_or - -theorem -infinite_or - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.infinite_or - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.valid_ext_exists - -theorem -valid_ext_exists - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.valid_ext_exists - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.seq_step_prop - -theorem -seq_step_prop - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.seq_step_prop - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.f_seq_covers - -theorem -f_seq_covers - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.f_seq_covers - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.f_seq_basis - -theorem -f_seq_basis - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.f_seq_basis - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.f_seq_spaced - -theorem -f_seq_spaced - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.f_seq_spaced - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.f_seq_gaps - -theorem -f_seq_gaps - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.f_seq_gaps - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.greedy_seq_exists - -theorem -greedy_seq_exists - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.greedy_seq_exists - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.f_mono - -theorem -f_mono - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.f_mono - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.gap_mono - -theorem -gap_mono - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.gap_mono - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.subset_f_k_of_le - -theorem -subset_f_k_of_le - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.subset_f_k_of_le - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.erdos_gap_set_exists - -theorem -erdos_gap_set_exists - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.erdos_gap_set_exists - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.exists_good_cassels_set - -theorem -exists_good_cassels_set - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.exists_good_cassels_set - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.cassels_set_is_good - -theorem -cassels_set_is_good - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.cassels_set_is_good - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.target_theorem_0 - -theorem -target_theorem_0 - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.target_theorem_0 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.GoodCasselsProperty - -def -GoodCasselsProperty - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.GoodCasselsProperty - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.BlockSeq - -def -BlockSeq - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.BlockSeq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.UnionBlocks - -def -UnionBlocks - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.UnionBlocks - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.HasLargeGaps - -def -HasLargeGaps - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.HasLargeGaps - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.IsGreedyBasis - -def -IsGreedyBasis - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.IsGreedyBasis - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.GreedySpaced - -def -GreedySpaced - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.GreedySpaced - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.GreedyGaps - -def -GreedyGaps - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.GreedyGaps - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.State - -def -State - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.State - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.step_prop - -def -step_prop - - - -Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii->Semantics.Adapters.AlphaProofNexus.erdos_741.parts.ii.step_prop - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846 - -module -erdos_846 - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.bipartite_max_cut_nat - -theorem -bipartite_max_cut_nat - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.bipartite_max_cut_nat - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.nontrilinear_of_no_collinear_triples - -theorem -nontrilinear_of_no_collinear_triples - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.nontrilinear_of_no_collinear_triples - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.bipartite_has_no_triangle - -theorem -bipartite_has_no_triangle - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.bipartite_has_no_triangle - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.elekes_identity - -theorem -elekes_identity - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.elekes_identity - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.real_point_inj - -theorem -real_point_inj - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.real_point_inj - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.collinear_iff_det2 - -theorem -collinear_iff_det2 - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.collinear_iff_det2 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_pos - -theorem -t_seq_pos - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_pos - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_int - -theorem -t_seq_int - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_int - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.abs_ge_one_of_int - -theorem -abs_ge_one_of_int - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.abs_ge_one_of_int - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_bound_linear_pos - -theorem -t_seq_bound_linear_pos - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_bound_linear_pos - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_bound_linear_neg - -theorem -t_seq_bound_linear_neg - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_bound_linear_neg - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_strict_mono - -theorem -t_seq_strict_mono - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_strict_mono - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_bound_A - -theorem -t_seq_bound_A - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_bound_A - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_bound_A_neg - -theorem -t_seq_bound_A_neg - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_bound_A_neg - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_sum_inj_of_lt - -theorem -t_seq_sum_inj_of_lt - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_sum_inj_of_lt - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_sum_inj - -theorem -t_seq_sum_inj - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_sum_inj - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_inj_sum - -theorem -t_seq_inj_sum - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_inj_sum - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_not_collinear_p1 - -theorem -t_seq_not_collinear_p1 - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_not_collinear_p1 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_not_collinear_p2 - -theorem -t_seq_not_collinear_p2 - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_not_collinear_p2 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_not_collinear_p3 - -theorem -t_seq_not_collinear_p3 - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_not_collinear_p3 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.FormsTriangle_symm12 - -theorem -FormsTriangle_symm12 - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.FormsTriangle_symm12 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.FormsTriangle_symm23 - -theorem -FormsTriangle_symm23 - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.FormsTriangle_symm23 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.FormsTriangle_symm13 - -theorem -FormsTriangle_symm13 - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.FormsTriangle_symm13 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_not_collinear_case3 - -theorem -t_seq_not_collinear_case3 - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_not_collinear_case3 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.case1_sum_neq - -theorem -case1_sum_neq - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.case1_sum_neq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.case2_sum_neq - -theorem -case2_sum_neq - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.case2_sum_neq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_le_of_le - -theorem -t_seq_le_of_le - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_le_of_le - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.case1_bounds - -theorem -case1_bounds - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.case1_bounds - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.case2_bounds - -theorem -case2_bounds - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.case2_bounds - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_not_collinear_case2 - -theorem -t_seq_not_collinear_case2 - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.t_seq_not_collinear_case2 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.NonTrilinearFor - -def -NonTrilinearFor - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.NonTrilinearFor - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.WeaklyNonTrilinear - -def -WeaklyNonTrilinear - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.WeaklyNonTrilinear - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.FormsTriangle - -def -FormsTriangle - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.FormsTriangle - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.IsGoodMap - -def -IsGoodMap - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.IsGoodMap - - -contains - - - -Semantics.Adapters.AlphaProofNexus.erdos_846.A_set - -def -A_set - - - -Semantics.Adapters.AlphaProofNexus.erdos_846->Semantics.Adapters.AlphaProofNexus.erdos_846.A_set - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2 - -module -graph_conjecture2 - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.exists_max_indep_set_in_nbhd - -theorem -exists_max_indep_set_in_nbhd - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.exists_max_indep_set_in_nbhd - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.sum_indepNeighbors_eq - -theorem -sum_indepNeighbors_eq - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.sum_indepNeighbors_eq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.sum_card_eq_sum_din - -theorem -sum_card_eq_sum_din - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.sum_card_eq_sum_din - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.h_spanning_tree_lemma - -theorem -h_spanning_tree_lemma - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.h_spanning_tree_lemma - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.max_leaf_tree_exists - -theorem -max_leaf_tree_exists - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.max_leaf_tree_exists - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.c_edge_bound_strong - -theorem -c_edge_bound_strong - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.c_edge_bound_strong - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.tree_leaves_ge_degrees - -theorem -tree_leaves_ge_degrees - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.tree_leaves_ge_degrees - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.DoubleStar_le - -theorem -DoubleStar_le - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.DoubleStar_le - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.DoubleStar_isAcyclic - -theorem -DoubleStar_isAcyclic - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.DoubleStar_isAcyclic - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.exists_maximal_acyclic - -theorem -exists_maximal_acyclic - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.exists_maximal_acyclic - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.AddEdge_le - -theorem -AddEdge_le - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.AddEdge_le - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.T_le_AddEdge - -theorem -T_le_AddEdge - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.T_le_AddEdge - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.Reachable_AddEdge_walk - -theorem -Reachable_AddEdge_walk - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.Reachable_AddEdge_walk - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.Reachable_AddEdge - -theorem -Reachable_AddEdge - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.Reachable_AddEdge - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.AddEdge_isAcyclic - -theorem -AddEdge_isAcyclic - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.AddEdge_isAcyclic - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.walk_leaves_C - -theorem -walk_leaves_C - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.walk_leaves_C - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.reachable_edge - -theorem -reachable_edge - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.reachable_edge - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.maximal_acyclic_is_connected - -theorem -maximal_acyclic_is_connected - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.maximal_acyclic_is_connected - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.exists_optimal_tree - -theorem -exists_optimal_tree - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.exists_optimal_tree - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.union_neighbor_bound - -theorem -union_neighbor_bound - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.union_neighbor_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.c_edge_Ls_bound - -theorem -c_edge_Ls_bound - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.c_edge_Ls_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.c_edge_bound - -theorem -c_edge_bound - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.c_edge_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.c_deg_bound - -theorem -c_deg_bound - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.c_deg_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.S_heavy_is_indep - -theorem -S_heavy_is_indep - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.S_heavy_is_indep - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.S_heavy_inter_bound - -theorem -S_heavy_inter_bound - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.S_heavy_inter_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.fms_algebraic_sum - -theorem -fms_algebraic_sum - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.fms_algebraic_sum - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.fms_combinatorial_core - -theorem -fms_combinatorial_core - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.fms_combinatorial_core - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.fms_lemma - -theorem -fms_lemma - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.fms_lemma - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.l_le_Ls_div_2_plus_1 - -theorem -l_le_Ls_div_2_plus_1 - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.l_le_Ls_div_2_plus_1 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.conjecture2 - -theorem -conjecture2 - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.conjecture2 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.DoubleStar - -def -DoubleStar - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.DoubleStar - - -contains - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2.AddEdge - -def -AddEdge - - - -Semantics.Adapters.AlphaProofNexus.graph_conjecture2->Semantics.Adapters.AlphaProofNexus.graph_conjecture2.AddEdge - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57 - -module -green_57 - - - -Semantics.Adapters.AlphaProofNexus.green_57.supportFn_convexHull - -theorem -supportFn_convexHull - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.supportFn_convexHull - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.witness_f1_bound - -theorem -witness_f1_bound - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.witness_f1_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.witness_f2_bound - -theorem -witness_f2_bound - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.witness_f2_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.witness_f3_bound - -theorem -witness_f3_bound - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.witness_f3_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.witness_phi_in_baseΦ - -theorem -witness_phi_in_baseΦ - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.witness_phi_in_baseΦ - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.sum_zmod3_eq_c - -theorem -sum_zmod3_eq_c - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.sum_zmod3_eq_c - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.functional_witness_phi_gt - -theorem -functional_witness_phi_gt - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.functional_witness_phi_gt - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.baseΦ_bddAbove - -theorem -baseΦ_bddAbove - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.baseΦ_bddAbove - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.supportFn_Φ_gt_5 - -theorem -supportFn_Φ_gt_5 - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.supportFn_Φ_gt_5 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.L_identity_real - -theorem -L_identity_real - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.L_identity_real - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.T_identity - -theorem -T_identity - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.T_identity - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.sum_UV_bound - -theorem -sum_UV_bound - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.sum_UV_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.multilinear_bound - -theorem -multilinear_bound - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.multilinear_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.multilinear_fourier_identity - -theorem -multilinear_fourier_identity - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.multilinear_fourier_identity - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.U_norm_sq_identity - -theorem -U_norm_sq_identity - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.U_norm_sq_identity - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.cyclic_sos - -theorem -cyclic_sos - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.cyclic_sos - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.two_var_bound_111 - -theorem -two_var_bound_111 - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.two_var_bound_111 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.two_var_bound - -theorem -two_var_bound - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.two_var_bound - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.tripleKernel_reindex - -theorem -tripleKernel_reindex - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.tripleKernel_reindex - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.w_root_eq - -theorem -w_root_eq - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.w_root_eq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.What_sum_sq_eq_generic - -theorem -What_sum_sq_eq_generic - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.What_sum_sq_eq_generic - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.normSq_eq_norm_sq - -theorem -normSq_eq_norm_sq - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.normSq_eq_norm_sq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_add - -theorem -Eisen_toComplex_add - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_add - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_sub - -theorem -Eisen_toComplex_sub - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_sub - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_smul - -theorem -Eisen_toComplex_smul - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_smul - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_mul - -theorem -Eisen_toComplex_mul - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_mul - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_star - -theorem -Eisen_toComplex_star - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_star - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.normSq_w_root_poly - -theorem -normSq_w_root_poly - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.normSq_w_root_poly - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_normSq - -theorem -Eisen_toComplex_normSq - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_normSq - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_re_double - -theorem -Eisen_toComplex_re_double - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Eisen_toComplex_re_double - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.tripleKernel - -def -tripleKernel - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.tripleKernel - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.baseΦ - -def -baseΦ - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.baseΦ - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.baseΦ - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.Φ - -def -Φ - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Φ - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Φ - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.functional - -def -functional - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.functional - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.supportFn - -def -supportFn - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.supportFn - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.a_vec - -def -a_vec - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.a_vec - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.witness_f1 - -def -witness_f1 - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.witness_f1 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.witness_f2 - -def -witness_f2 - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.witness_f2 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.witness_f3 - -def -witness_f3 - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.witness_f3 - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.witness_phi - -def -witness_phi - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.witness_phi - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.w_root - -def -w_root - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.w_root - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.Uhat - -def -Uhat - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Uhat - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.Vhat - -def -Vhat - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Vhat - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.What - -def -What - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.What - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57.Eisen - -def -Eisen - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Eisen - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Eisen - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Eisen - - -contains - - - -Semantics.Adapters.AlphaProofNexus.green_57->Semantics.Adapters.AlphaProofNexus.green_57.Eisen - - -contains - - - -Semantics.Adapters.ErgodicAdditive - -module -ErgodicAdditive - - - -Semantics.Adapters.ErgodicAdditive->Mathlib.Data.Finset.Basic - - -imports - - - -Semantics.Adapters.ErgodicAdditive.for - -theorem -for - - - -Semantics.Adapters.ErgodicAdditive->Semantics.Adapters.ErgodicAdditive.for - - -contains - - - -Semantics.Adapters.ErgodicAdditive.ergodic_additive_diophantine_triangle - -theorem -ergodic_additive_diophantine_triangle - - - -Semantics.Adapters.ErgodicAdditive->Semantics.Adapters.ErgodicAdditive.ergodic_additive_diophantine_triangle - - -contains - - - -Semantics.Adapters.ErgodicAdditive.polynomial_method_adapter - -theorem -polynomial_method_adapter - - - -Semantics.Adapters.ErgodicAdditive->Semantics.Adapters.ErgodicAdditive.polynomial_method_adapter - - -contains - - - -Semantics.Adapters.ErgodicAdditive.upperBanachDensity - -def -upperBanachDensity - - - -Semantics.Adapters.ErgodicAdditive->Semantics.Adapters.ErgodicAdditive.upperBanachDensity - - -contains - - - -Semantics.Adapters.SidonMatroid - -module -SidonMatroid - - - -Semantics.Adapters.SidonMatroid->Mathlib.Data.Finset.Basic - - -imports - - - -Semantics.Adapters.SidonMatroid.sidonIndep_empty - -theorem -sidonIndep_empty - - - -Semantics.Adapters.SidonMatroid->Semantics.Adapters.SidonMatroid.sidonIndep_empty - - -contains - - - -Semantics.Adapters.SidonMatroid.sidonIndep_hereditary - -theorem -sidonIndep_hereditary - - - -Semantics.Adapters.SidonMatroid->Semantics.Adapters.SidonMatroid.sidonIndep_hereditary - - -contains - - - -Semantics.Adapters.SidonMatroid.sidonRank_eq_max_card - -theorem -sidonRank_eq_max_card - - - -Semantics.Adapters.SidonMatroid->Semantics.Adapters.SidonMatroid.sidonRank_eq_max_card - - -contains - - - -Semantics.Adapters.SidonMatroid.sidon_matroid_bridge - -theorem -sidon_matroid_bridge - - - -Semantics.Adapters.SidonMatroid->Semantics.Adapters.SidonMatroid.sidon_matroid_bridge - - -contains - - - -Semantics.Adapters.SidonMatroid.sidon_set_size_bound - -theorem -sidon_set_size_bound - - - -Semantics.Adapters.SidonMatroid->Semantics.Adapters.SidonMatroid.sidon_set_size_bound - - -contains - - - -Semantics.Adapters.SidonMatroid.sidonIndep - -def -sidonIndep - - - -Semantics.Adapters.SidonMatroid->Semantics.Adapters.SidonMatroid.sidonIndep - - -contains - - - -Semantics.AdjugateMatrix - -module -AdjugateMatrix - - - -Semantics.AdjugateMatrix.det_self_inverse_approx - -theorem -det_self_inverse_approx - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.det_self_inverse_approx - - -contains - - - -Semantics.AdjugateMatrix.identity8_self_inverse - -theorem -identity8_self_inverse - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.identity8_self_inverse - - -contains - - - -Semantics.AdjugateMatrix.identity8_mul_self - -theorem -identity8_mul_self - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.identity8_mul_self - - -contains - - - -Semantics.AdjugateMatrix.det8_identity - -theorem -det8_identity - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.det8_identity - - -contains - - - -Semantics.AdjugateMatrix.det_self_inverse_identity - -theorem -det_self_inverse_identity - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.det_self_inverse_identity - - -contains - - - -Semantics.AdjugateMatrix.cayley_transform_zero - -theorem -cayley_transform_zero - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.cayley_transform_zero - - -contains - - - -Semantics.AdjugateMatrix.adjugate_identity8 - -theorem -adjugate_identity8 - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.adjugate_identity8 - - -contains - - - -Semantics.AdjugateMatrix.adjugate_diag2m - -theorem -adjugate_diag2m - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.adjugate_diag2m - - -contains - - - -Semantics.AdjugateMatrix.cofactorProductEntry_identity8_entry - -theorem -cofactorProductEntry_identity8_entry - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.cofactorProductEntry_identity8_entry - - -contains - - - -Semantics.AdjugateMatrix.cofactor_identity_diag2_entries - -theorem -cofactor_identity_diag2_entries - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.cofactor_identity_diag2_entries - - -contains - - - -Semantics.AdjugateMatrix.det8_diag2m_eq - -theorem -det8_diag2m_eq - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.det8_diag2m_eq - - -contains - - - -Semantics.AdjugateMatrix.det_self_inverse_exact_diag2_axiom - -theorem -det_self_inverse_exact_diag2_axiom - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.det_self_inverse_exact_diag2_axiom - - -contains - - - -Semantics.AdjugateMatrix.cofactorProductEntry_identity_clear - -theorem -cofactorProductEntry_identity_clear - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.cofactorProductEntry_identity_clear - - -contains - - - -Semantics.AdjugateMatrix.cofactor_identity_identity_diag - -theorem -cofactor_identity_identity_diag - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.cofactor_identity_identity_diag - - -contains - - - -Semantics.AdjugateMatrix.cofactor_identity_identity_offdiag - -theorem -cofactor_identity_identity_offdiag - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.cofactor_identity_identity_offdiag - - -contains - - - -Semantics.AdjugateMatrix.cofactor_identity_diag2 - -theorem -cofactor_identity_diag2 - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.cofactor_identity_diag2 - - -contains - - - -Semantics.AdjugateMatrix.det_self_inverse_exact_diag2 - -theorem -det_self_inverse_exact_diag2 - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.det_self_inverse_exact_diag2 - - -contains - - - -Semantics.AdjugateMatrix.errorBound_from_energy - -theorem -errorBound_from_energy - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.errorBound_from_energy - - -contains - - - -Semantics.AdjugateMatrix.cofactor_identity_bound - -theorem -cofactor_identity_bound - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.cofactor_identity_bound - - -contains - - - -Semantics.AdjugateMatrix.det_self_inverse_exact_from_cofactor - -theorem -det_self_inverse_exact_from_cofactor - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.det_self_inverse_exact_from_cofactor - - -contains - - - -Semantics.AdjugateMatrix.getEntry - -def -getEntry - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.getEntry - - -contains - - - -Semantics.AdjugateMatrix.getEntryQ - -def -getEntryQ - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.getEntryQ - - -contains - - - -Semantics.AdjugateMatrix.minorQ - -def -minorQ - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.minorQ - - -contains - - - -Semantics.AdjugateMatrix.detQ - -def -detQ - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.detQ - - -contains - - - -Semantics.AdjugateMatrix.det8 - -def -det8 - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.det8 - - -contains - - - -Semantics.AdjugateMatrix.det7 - -def -det7 - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.det7 - - -contains - - - -Semantics.AdjugateMatrix.det6 - -def -det6 - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.det6 - - -contains - - - -Semantics.AdjugateMatrix.det5 - -def -det5 - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.det5 - - -contains - - - -Semantics.AdjugateMatrix.det4 - -def -det4 - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.det4 - - -contains - - - -Semantics.AdjugateMatrix.det3 - -def -det3 - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.det3 - - -contains - - - -Semantics.AdjugateMatrix.det2 - -def -det2 - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.det2 - - -contains - - - -Semantics.AdjugateMatrix.minor8 - -def -minor8 - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.minor8 - - -contains - - - -Semantics.AdjugateMatrix.cofactor8 - -def -cofactor8 - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.cofactor8 - - -contains - - - -Semantics.AdjugateMatrix.adjugate - -def -adjugate - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.adjugate - - -contains - - - -Semantics.AdjugateMatrix.matrixMultiply - -def -matrixMultiply - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.matrixMultiply - - -contains - - - -Semantics.AdjugateMatrix.matrixInverse - -def -matrixInverse - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.matrixInverse - - -contains - - - -Semantics.AdjugateMatrix.identity8 - -def -identity8 - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.identity8 - - -contains - - - -Semantics.AdjugateMatrix.cayleyTransform - -def -cayleyTransform - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.cayleyTransform - - -contains - - - -Semantics.AdjugateMatrix.matrixApproxEq - -def -matrixApproxEq - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.matrixApproxEq - - -contains - - - -Semantics.AdjugateMatrix.cofactorSign - -def -cofactorSign - - - -Semantics.AdjugateMatrix->Semantics.AdjugateMatrix.cofactorSign - - -contains - - - -Semantics.AffineMappingLTSF - -module -AffineMappingLTSF - - - -Semantics.AffineMappingLTSF.scaledPeriodic_zero_scaling_is_constant - -theorem -scaledPeriodic_zero_scaling_is_constant - - - -Semantics.AffineMappingLTSF->Semantics.AffineMappingLTSF.scaledPeriodic_zero_scaling_is_constant - - -contains - - - -Semantics.AffineMappingLTSF.affineTransform_zero_input_zero_weights_zero_output - -theorem -affineTransform_zero_input_zero_weights_ - - - -Semantics.AffineMappingLTSF->Semantics.AffineMappingLTSF.affineTransform_zero_input_zero_weights_zero_output - - -contains - - - -Semantics.AffineMappingLTSF.affineTransform - -def -affineTransform - - - -Semantics.AffineMappingLTSF->Semantics.AffineMappingLTSF.affineTransform - - -contains - - - -Semantics.AffineMappingLTSF.decomposeTimeSeries - -def -decomposeTimeSeries - - - -Semantics.AffineMappingLTSF->Semantics.AffineMappingLTSF.decomposeTimeSeries - - -contains - - - -Semantics.AffineMappingLTSF.reconstructTimeSeries - -def -reconstructTimeSeries - - - -Semantics.AffineMappingLTSF->Semantics.AffineMappingLTSF.reconstructTimeSeries - - -contains - - - -Semantics.AffineMappingLTSF.periodicConditionSatisfied - -def -periodicConditionSatisfied - - - -Semantics.AffineMappingLTSF->Semantics.AffineMappingLTSF.periodicConditionSatisfied - - -contains - - - -Semantics.AffineMappingLTSF.applyScaledPeriodic - -def -applyScaledPeriodic - - - -Semantics.AffineMappingLTSF->Semantics.AffineMappingLTSF.applyScaledPeriodic - - -contains - - - -Semantics.AffineMappingLTSF.initAffineMappingState - -def -initAffineMappingState - - - -Semantics.AffineMappingLTSF->Semantics.AffineMappingLTSF.initAffineMappingState - - -contains - - - -Semantics.AffineMappingLTSF.periodicConditionBind - -def -periodicConditionBind - - - -Semantics.AffineMappingLTSF->Semantics.AffineMappingLTSF.periodicConditionBind - - -contains - - - -Semantics.AffineMappingLTSF.scaledPeriodicBind - -def -scaledPeriodicBind - - - -Semantics.AffineMappingLTSF->Semantics.AffineMappingLTSF.scaledPeriodicBind - - -contains - - - -Semantics.AffineMappingLTSF.affineMappingBind - -def -affineMappingBind - - - -Semantics.AffineMappingLTSF->Semantics.AffineMappingLTSF.affineMappingBind - - -contains - - - -Semantics.AffineMappingLTSF.zeroLayer - -def -zeroLayer - - - -Semantics.AffineMappingLTSF->Semantics.AffineMappingLTSF.zeroLayer - - -contains - - - -Semantics.AffineMappingLTSF.sampleAffineState - -def -sampleAffineState - - - -Semantics.AffineMappingLTSF->Semantics.AffineMappingLTSF.sampleAffineState - - -contains - - - -Mathlib.Tactic - -mathlib -Mathlib.Tactic - - - -Semantics.AffineMappingLTSF->Mathlib.Tactic - - -imports - - - -Semantics.AgentSwarmTemplateAlignment - -module -AgentSwarmTemplateAlignment - - - -Semantics.AgentSwarmTemplateAlignment.classifyTemplateNeverReviewed - -theorem -classifyTemplateNeverReviewed - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.classifyTemplateNeverReviewed - - -contains - - - -Semantics.AgentSwarmTemplateAlignment.noReceiptsHold - -theorem -noReceiptsHold - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.noReceiptsHold - - -contains - - - -Semantics.AgentSwarmTemplateAlignment.invalidReceiptBlocks - -theorem -invalidReceiptBlocks - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.invalidReceiptBlocks - - -contains - - - -Semantics.AgentSwarmTemplateAlignment.codeReviewGraphCandidate - -theorem -codeReviewGraphCandidate - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.codeReviewGraphCandidate - - -contains - - - -Semantics.AgentSwarmTemplateAlignment.unsafeSupportGraphHeld - -theorem -unsafeSupportGraphHeld - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.unsafeSupportGraphHeld - - -contains - - - -Semantics.AgentSwarmTemplateAlignment.hasBoundary - -def -hasBoundary - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.hasBoundary - - -contains - - - -Semantics.AgentSwarmTemplateAlignment.needsEvaluation - -def -needsEvaluation - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.needsEvaluation - - -contains - - - -Semantics.AgentSwarmTemplateAlignment.needsApproval - -def -needsApproval - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.needsApproval - - -contains - - - -Semantics.AgentSwarmTemplateAlignment.requiredReceiptKinds - -def -requiredReceiptKinds - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.requiredReceiptKinds - - -contains - - - -Semantics.AgentSwarmTemplateAlignment.graphStructurallyLawful - -def -graphStructurallyLawful - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.graphStructurallyLawful - - -contains - - - -Semantics.AgentSwarmTemplateAlignment.hasPromotionReceipts - -def -hasPromotionReceipts - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.hasPromotionReceipts - - -contains - - - -Semantics.AgentSwarmTemplateAlignment.classifyTemplate - -def -classifyTemplate - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.classifyTemplate - - -contains - - - -Semantics.AgentSwarmTemplateAlignment.codeReviewGraph - -def -codeReviewGraph - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.codeReviewGraph - - -contains - - - -Semantics.AgentSwarmTemplateAlignment.codeReviewReceipts - -def -codeReviewReceipts - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.codeReviewReceipts - - -contains - - - -Semantics.AgentSwarmTemplateAlignment.unsafeSupportGraph - -def -unsafeSupportGraph - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.AgentSwarmTemplateAlignment.unsafeSupportGraph - - -contains - - - -Semantics.ReceiptCore - -module -ReceiptCore - - - -Semantics.AgentSwarmTemplateAlignment->Semantics.ReceiptCore - - -imports - - - -Semantics.AgenticCore - -module -AgenticCore - - - -Semantics.AgenticCore.name - -def -name - - - -Semantics.AgenticCore->Semantics.AgenticCore.name - - -contains - - - -Semantics.AgenticCore.capabilities - -def -capabilities - - - -Semantics.AgenticCore->Semantics.AgenticCore.capabilities - - -contains - - - -Semantics.AgenticCore.researchPipeline - -def -researchPipeline - - - -Semantics.AgenticCore->Semantics.AgenticCore.researchPipeline - - -contains - - - -Mathlib.Data.Nat.Basic - -mathlib -Mathlib.Data.Nat.Basic - - - -Semantics.AgenticCore->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.AgenticOrchestration - -module -AgenticOrchestration - - - -Semantics.AgenticOrchestration.researchPipelineIsAcyclic - -theorem -researchPipelineIsAcyclic - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.researchPipelineIsAcyclic - - -contains - - - -Semantics.AgenticOrchestration.create - -def -create - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.create - - -contains - - - -Semantics.AgenticOrchestration.send - -def -send - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.send - - -contains - - - -Semantics.AgenticOrchestration.receive - -def -receive - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.receive - - -contains - - - -Semantics.AgenticOrchestration.deliver - -def -deliver - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.deliver - - -contains - - - -Semantics.AgenticOrchestration.flushOutbox - -def -flushOutbox - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.flushOutbox - - -contains - - - -Semantics.AgenticOrchestration.inboxSize - -def -inboxSize - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.inboxSize - - -contains - - - -Semantics.AgenticOrchestration.empty - -def -empty - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.empty - - -contains - - - -Semantics.AgenticOrchestration.registerMailbox - -def -registerMailbox - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.registerMailbox - - -contains - - - -Semantics.AgenticOrchestration.findMailbox - -def -findMailbox - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.findMailbox - - -contains - - - -Semantics.AgenticOrchestration.updateMailbox - -def -updateMailbox - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.updateMailbox - - -contains - - - -Semantics.AgenticOrchestration.deliveryCycle - -def -deliveryCycle - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.deliveryCycle - - -contains - - - -Semantics.AgenticOrchestration.totalPending - -def -totalPending - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.totalPending - - -contains - - - -Semantics.AgenticOrchestration.agentTypeToDomain - -def -agentTypeToDomain - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.agentTypeToDomain - - -contains - - - -Semantics.AgenticOrchestration.domainToAgentType - -def -domainToAgentType - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.domainToAgentType - - -contains - - - -Semantics.AgenticOrchestration.agentStateToSpawnedSubagent - -def -agentStateToSpawnedSubagent - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.agentStateToSpawnedSubagent - - -contains - - - -Semantics.AgenticOrchestration.agentStatesToSubagentSystem - -def -agentStatesToSubagentSystem - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.agentStatesToSubagentSystem - - -contains - - - -Semantics.AgenticOrchestration.allTasksCompleted - -def -allTasksCompleted - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.allTasksCompleted - - -contains - - - -Semantics.AgenticOrchestration.hasCircularDependency - -def -hasCircularDependency - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.hasCircularDependency - - -contains - - - -Semantics.AgenticOrchestration.DeadlockFreedom - -def -DeadlockFreedom - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.DeadlockFreedom - - -contains - - - -Semantics.AgenticOrchestration.StarvationFreedom - -def -StarvationFreedom - - - -Semantics.AgenticOrchestration->Semantics.AgenticOrchestration.StarvationFreedom - - -contains - - - -Semantics.AgenticOrchestrationField - -module -AgenticOrchestrationField - - - -Semantics.AgenticOrchestrationField->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.AgenticOrchestrationField.agentField - -def -agentField - - - -Semantics.AgenticOrchestrationField->Semantics.AgenticOrchestrationField.agentField - - -contains - - - -Semantics.AgenticOrchestrationField.coordinationField - -def -coordinationField - - - -Semantics.AgenticOrchestrationField->Semantics.AgenticOrchestrationField.coordinationField - - -contains - - - -Semantics.AgenticOrchestrationField.teamOrchestrationField - -def -teamOrchestrationField - - - -Semantics.AgenticOrchestrationField->Semantics.AgenticOrchestrationField.teamOrchestrationField - - -contains - - - -Semantics.AgenticTaskAssignment - -module -AgenticTaskAssignment - - - -Semantics.AgenticTaskAssignment->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.AgenticTaskAssignment.assignTask - -def -assignTask - - - -Semantics.AgenticTaskAssignment->Semantics.AgenticTaskAssignment.assignTask - - -contains - - - -Semantics.AgenticTaskAssignment.dependenciesSatisfied - -def -dependenciesSatisfied - - - -Semantics.AgenticTaskAssignment->Semantics.AgenticTaskAssignment.dependenciesSatisfied - - -contains - - - -Semantics.AgenticTaskAssignment.readyTasks - -def -readyTasks - - - -Semantics.AgenticTaskAssignment->Semantics.AgenticTaskAssignment.readyTasks - - -contains - - - -Semantics.AgenticTaskAssignment.orchestrationStep - -def -orchestrationStep - - - -Semantics.AgenticTaskAssignment->Semantics.AgenticTaskAssignment.orchestrationStep - - -contains - - - -Semantics.AgenticTaskAssignment.runOrchestration - -def -runOrchestration - - - -Semantics.AgenticTaskAssignment->Semantics.AgenticTaskAssignment.runOrchestration - - -contains - - - -Semantics.AgenticTheorems - -module -AgenticTheorems - - - -Semantics.AgenticTheorems->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.AgenticTheorems.foldl_pred_mem - -theorem -foldl_pred_mem - - - -Semantics.AgenticTheorems->Semantics.AgenticTheorems.foldl_pred_mem - - -contains - - - -Semantics.AgenticTheorems.assignmentRespectsCapabilities - -theorem -assignmentRespectsCapabilities - - - -Semantics.AgenticTheorems->Semantics.AgenticTheorems.assignmentRespectsCapabilities - - -contains - - - -Semantics.AgenticTheorems.dependenciesRespected - -theorem -dependenciesRespected - - - -Semantics.AgenticTheorems->Semantics.AgenticTheorems.dependenciesRespected - - -contains - - - -Semantics.AgenticTheorems.orchestrationTermination - -theorem -orchestrationTermination - - - -Semantics.AgenticTheorems->Semantics.AgenticTheorems.orchestrationTermination - - -contains - - - -Semantics.AgenticTheorems.synergyImprovesPerformance - -theorem -synergyImprovesPerformance - - - -Semantics.AgenticTheorems->Semantics.AgenticTheorems.synergyImprovesPerformance - - -contains - - - -Semantics.AgenticTheorems.agentFieldBounded - -theorem -agentFieldBounded - - - -Semantics.AgenticTheorems->Semantics.AgenticTheorems.agentFieldBounded - - -contains - - - -Semantics.AgenticTheorems.loadPenaltyDecreasesField - -theorem -loadPenaltyDecreasesField - - - -Semantics.AgenticTheorems->Semantics.AgenticTheorems.loadPenaltyDecreasesField - - -contains - - - -Semantics.AnalysisFoundations - -module -AnalysisFoundations - - - -Semantics.AnalysisFoundations->Mathlib.Tactic - - -imports - - - -Semantics.AnalysisFoundations.constant_continuous - -theorem -constant_continuous - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.constant_continuous - - -contains - - - -Semantics.AnalysisFoundations.identity_continuous - -theorem -identity_continuous - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.identity_continuous - - -contains - - - -Semantics.AnalysisFoundations.square_continuous - -theorem -square_continuous - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.square_continuous - - -contains - - - -Semantics.AnalysisFoundations.square_differentiable - -theorem -square_differentiable - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.square_differentiable - - -contains - - - -Semantics.AnalysisFoundations.division_by_constant_differentiable - -theorem -division_by_constant_differentiable - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.division_by_constant_differentiable - - -contains - - - -Semantics.AnalysisFoundations.norm_squared_convex - -theorem -norm_squared_convex - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.norm_squared_convex - - -contains - - - -Semantics.AnalysisFoundations.zero_lipschitz - -theorem -zero_lipschitz - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.zero_lipschitz - - -contains - - - -Semantics.AnalysisFoundations.picard_lindelof - -theorem -picard_lindelof - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.picard_lindelof - - -contains - - - -Semantics.AnalysisFoundations.ode_uniqueness - -theorem -ode_uniqueness - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.ode_uniqueness - - -contains - - - -Semantics.AnalysisFoundations.ContinuousAt - -def -ContinuousAt - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.ContinuousAt - - -contains - - - -Semantics.AnalysisFoundations.Continuous - -def -Continuous - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.Continuous - - -contains - - - -Semantics.AnalysisFoundations.DifferentiableAt - -def -DifferentiableAt - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.DifferentiableAt - - -contains - - - -Semantics.AnalysisFoundations.Differentiable - -def -Differentiable - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.Differentiable - - -contains - - - -Semantics.AnalysisFoundations.CInf - -def -CInf - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.CInf - - -contains - - - -Semantics.AnalysisFoundations.Convex - -def -Convex - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.Convex - - -contains - - - -Semantics.AnalysisFoundations.Lipschitz - -def -Lipschitz - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.Lipschitz - - -contains - - - -Semantics.AnalysisFoundations.ODESolution - -def -ODESolution - - - -Semantics.AnalysisFoundations->Semantics.AnalysisFoundations.ODESolution - - -contains - - - -Semantics.AngrySphinx - -module -AngrySphinx - - - -Semantics.AngrySphinx.solveEnergyExponential - -theorem -solveEnergyExponential - - - -Semantics.AngrySphinx->Semantics.AngrySphinx.solveEnergyExponential - - -contains - - - -Semantics.AngrySphinx.nanBoundaryCorrect - -theorem -nanBoundaryCorrect - - - -Semantics.AngrySphinx->Semantics.AngrySphinx.nanBoundaryCorrect - - -contains - - - -Semantics.AngrySphinx.frustrationUnderPressure - -def -frustrationUnderPressure - - - -Semantics.AngrySphinx->Semantics.AngrySphinx.frustrationUnderPressure - - -contains - - - -Semantics.AngrySphinx.landauerBitCost - -def -landauerBitCost - - - -Semantics.AngrySphinx->Semantics.AngrySphinx.landauerBitCost - - -contains - - - -Semantics.AngrySphinx.defaultGearRatio - -def -defaultGearRatio - - - -Semantics.AngrySphinx->Semantics.AngrySphinx.defaultGearRatio - - -contains - - - -Semantics.AngrySphinx.gearProduct - -def -gearProduct - - - -Semantics.AngrySphinx->Semantics.AngrySphinx.gearProduct - - -contains - - - -Semantics.AngrySphinx.gearProductQ - -def -gearProductQ - - - -Semantics.AngrySphinx->Semantics.AngrySphinx.gearProductQ - - -contains - - - -Semantics.AngrySphinx.solveEnergy - -def -solveEnergy - - - -Semantics.AngrySphinx->Semantics.AngrySphinx.solveEnergy - - -contains - - - -Semantics.AngrySphinx.solveDenominator - -def -solveDenominator - - - -Semantics.AngrySphinx->Semantics.AngrySphinx.solveDenominator - - -contains - - - -Semantics.AngrySphinx.initPod - -def -initPod - - - -Semantics.AngrySphinx->Semantics.AngrySphinx.initPod - - -contains - - - -Semantics.AngrySphinx.accumulateWork - -def -accumulateWork - - - -Semantics.AngrySphinx->Semantics.AngrySphinx.accumulateWork - - -contains - - - -Semantics.AngrySphinx.verifyPod - -def -verifyPod - - - -Semantics.AngrySphinx->Semantics.AngrySphinx.verifyPod - - -contains - - - -Semantics.AngrySphinxPolicy - -module -AngrySphinxPolicy - - - -Semantics.AngrySphinxPolicy.defaultAngrySphinxPolicy - -def -defaultAngrySphinxPolicy - - - -Semantics.AngrySphinxPolicy->Semantics.AngrySphinxPolicy.defaultAngrySphinxPolicy - - -contains - - - -Semantics.AngrySphinxPolicy.checkAngrySphinxCompliance - -def -checkAngrySphinxCompliance - - - -Semantics.AngrySphinxPolicy->Semantics.AngrySphinxPolicy.checkAngrySphinxCompliance - - -contains - - - -Semantics.AngrySphinxPolicy.angrySphinxConstitutionalRule - -def -angrySphinxConstitutionalRule - - - -Semantics.AngrySphinxPolicy->Semantics.AngrySphinxPolicy.angrySphinxConstitutionalRule - - -contains - - - -Semantics.AngrySphinxPolicy.enforceAngrySphinxGate - -def -enforceAngrySphinxGate - - - -Semantics.AngrySphinxPolicy->Semantics.AngrySphinxPolicy.enforceAngrySphinxGate - - -contains - - - -Semantics.AngrySphinxPolicy.angrySphinxPolicyLayer - -def -angrySphinxPolicyLayer - - - -Semantics.AngrySphinxPolicy->Semantics.AngrySphinxPolicy.angrySphinxPolicyLayer - - -contains - - - -Semantics.Testing.ExtremeParameterTest - -module -ExtremeParameterTest - - - -Semantics.AngrySphinxPolicy->Semantics.Testing.ExtremeParameterTest - - -imports - - - -Semantics.AnomalyDrift - -module -AnomalyDrift - - - -Semantics.AnomalyDrift.computeSigma - -def -computeSigma - - - -Semantics.AnomalyDrift->Semantics.AnomalyDrift.computeSigma - - -contains - - - -Semantics.AnomalyDrift.muon_g2_anomaly - -def -muon_g2_anomaly - - - -Semantics.AnomalyDrift->Semantics.AnomalyDrift.muon_g2_anomaly - - -contains - - - -Semantics.AnomalyDrift.b_to_s_ll_anomaly - -def -b_to_s_ll_anomaly - - - -Semantics.AnomalyDrift->Semantics.AnomalyDrift.b_to_s_ll_anomaly - - -contains - - - -Semantics.AnomalyDrift.w_mass_anomaly - -def -w_mass_anomaly - - - -Semantics.AnomalyDrift->Semantics.AnomalyDrift.w_mass_anomaly - - -contains - - - -Semantics.AnomalyDrift.knownAnomalies - -def -knownAnomalies - - - -Semantics.AnomalyDrift->Semantics.AnomalyDrift.knownAnomalies - - -contains - - - -Semantics.AnomalyDrift.anomalyToDrift - -def -anomalyToDrift - - - -Semantics.AnomalyDrift->Semantics.AnomalyDrift.anomalyToDrift - - -contains - - - -Semantics.AnomalyDrift.driftToScale - -def -driftToScale - - - -Semantics.AnomalyDrift->Semantics.AnomalyDrift.driftToScale - - -contains - - - -Semantics.AnomalyDrift.consistentWithCommonSource - -def -consistentWithCommonSource - - - -Semantics.AnomalyDrift->Semantics.AnomalyDrift.consistentWithCommonSource - - -contains - - - -Semantics.AnomalyDrift.generateDriftReport - -def -generateDriftReport - - - -Semantics.AnomalyDrift->Semantics.AnomalyDrift.generateDriftReport - - -contains - - - -Semantics.AnomalyDrift.muon_drift - -def -muon_drift - - - -Semantics.AnomalyDrift->Semantics.AnomalyDrift.muon_drift - - -contains - - - -Semantics.AnomalyDrift.bphysics_drift - -def -bphysics_drift - - - -Semantics.AnomalyDrift->Semantics.AnomalyDrift.bphysics_drift - - -contains - - - -Semantics.AnomalyDrift.testReport - -def -testReport - - - -Semantics.AnomalyDrift->Semantics.AnomalyDrift.testReport - - -contains - - - -Semantics.AntiBraidStorm - -module -AntiBraidStorm - - - -Semantics.AntiBraidStorm.braidState_ext - -theorem -braidState_ext - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.braidState_ext - - -contains - - - -Semantics.AntiBraidStorm.step_count_invariant - -theorem -step_count_invariant - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.step_count_invariant - - -contains - - - -Semantics.AntiBraidStorm.sidon_slack_invariant - -theorem -sidon_slack_invariant - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.sidon_slack_invariant - - -contains - - - -Semantics.AntiBraidStorm.crossing_matrix_admissible_invariant - -theorem -crossing_matrix_admissible_invariant - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.crossing_matrix_admissible_invariant - - -contains - - - -Semantics.AntiBraidStorm.scar_absent_invariant - -theorem -scar_absent_invariant - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.scar_absent_invariant - - -contains - - - -Semantics.AntiBraidStorm.execSwap_yang_baxter - -theorem -execSwap_yang_baxter - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.execSwap_yang_baxter - - -contains - - - -Semantics.AntiBraidStorm.execSwap_far_comm - -theorem -execSwap_far_comm - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.execSwap_far_comm - - -contains - - - -Semantics.AntiBraidStorm.yang_baxter_invariance - -theorem -yang_baxter_invariance - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.yang_baxter_invariance - - -contains - - - -Semantics.AntiBraidStorm.far_commutation_invariance - -theorem -far_commutation_invariance - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.far_commutation_invariance - - -contains - - - -Semantics.AntiBraidStorm.detectAliasingViolation - -def -detectAliasingViolation - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.detectAliasingViolation - - -contains - - - -Semantics.AntiBraidStorm.execSwap - -def -execSwap - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.execSwap - - -contains - - - -Semantics.AntiBraidStorm.execPath - -def -execPath - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.execPath - - -contains - - - -Semantics.AntiBraidStorm.yangBaxterTestCase - -def -yangBaxterTestCase - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.yangBaxterTestCase - - -contains - - - -Semantics.AntiBraidStorm.farCommutationTestCase - -def -farCommutationTestCase - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.farCommutationTestCase - - -contains - - - -Semantics.AntiBraidStorm.ReceiptInvariant - -def -ReceiptInvariant - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.ReceiptInvariant - - -contains - - - -Semantics.AntiBraidStorm.runAdversarialTests - -def -runAdversarialTests - - - -Semantics.AntiBraidStorm->Semantics.AntiBraidStorm.runAdversarialTests - - -contains - - - -Semantics.AntiDiophantine - -module -AntiDiophantine - - - -Semantics.AntiDiophantine.sidonSlack_eq - -theorem -sidonSlack_eq - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.sidonSlack_eq - - -contains - - - -Semantics.AntiDiophantine.canonicalSidonLabels_nonempty - -theorem -canonicalSidonLabels_nonempty - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.canonicalSidonLabels_nonempty - - -contains - - - -Semantics.AntiDiophantine.canonicalSidonLabels_max - -theorem -canonicalSidonLabels_max - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.canonicalSidonLabels_max - - -contains - - - -Semantics.AntiDiophantine.canonical_labels_sidon - -theorem -canonical_labels_sidon - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.canonical_labels_sidon - - -contains - - - -Semantics.AntiDiophantine.canonical_sidon_slack - -theorem -canonical_sidon_slack - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.canonical_sidon_slack - - -contains - - - -Semantics.AntiDiophantine.sidon_agreement_upper - -theorem -sidon_agreement_upper - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.sidon_agreement_upper - - -contains - - - -Semantics.AntiDiophantine.sidon_agreement_lower - -theorem -sidon_agreement_lower - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.sidon_agreement_lower - - -contains - - - -Semantics.AntiDiophantine.sidon_agreement_theorem - -theorem -sidon_agreement_theorem - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.sidon_agreement_theorem - - -contains - - - -Semantics.AntiDiophantine.slack_regime_transition - -theorem -slack_regime_transition - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.slack_regime_transition - - -contains - - - -Semantics.AntiDiophantine.diophantine_antiDiophantine_comparison - -theorem -diophantine_antiDiophantine_comparison - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.diophantine_antiDiophantine_comparison - - -contains - - - -Semantics.AntiDiophantine.IsDiophantineFamily - -def -IsDiophantineFamily - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.IsDiophantineFamily - - -contains - - - -Semantics.AntiDiophantine.IsAntiDiophantineFamily - -def -IsAntiDiophantineFamily - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.IsAntiDiophantineFamily - - -contains - - - -Semantics.AntiDiophantine.sidonSlack - -def -sidonSlack - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.sidonSlack - - -contains - - - -Semantics.AntiDiophantine.isAntiDiophantineSlack - -def -isAntiDiophantineSlack - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.isAntiDiophantineSlack - - -contains - - - -Semantics.AntiDiophantine.isDiophantineSlack - -def -isDiophantineSlack - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.isDiophantineSlack - - -contains - - - -Semantics.AntiDiophantine.canonicalSidonLabels - -def -canonicalSidonLabels - - - -Semantics.AntiDiophantine->Semantics.AntiDiophantine.canonicalSidonLabels - - -contains - - - -Mathlib.Data.Set.Basic - -mathlib -Mathlib.Data.Set.Basic - - - -Semantics.AntiDiophantine->Mathlib.Data.Set.Basic - - -imports - - - -Semantics.AtomicResolution - -module -AtomicResolution - - - -Semantics.AtomicResolution.atomicallyAdmissibleOfBounds - -theorem -atomicallyAdmissibleOfBounds - - - -Semantics.AtomicResolution->Semantics.AtomicResolution.atomicallyAdmissibleOfBounds - - -contains - - - -Semantics.AtomicResolution.resolvedSitesLeBasisDim - -theorem -resolvedSitesLeBasisDim - - - -Semantics.AtomicResolution->Semantics.AtomicResolution.resolvedSitesLeBasisDim - - -contains - - - -Semantics.AtomicResolution.compressionContractsAtomicResolution - -theorem -compressionContractsAtomicResolution - - - -Semantics.AtomicResolution->Semantics.AtomicResolution.compressionContractsAtomicResolution - - -contains - - - -Semantics.AtomicResolution.siteCovered - -def -siteCovered - - - -Semantics.AtomicResolution->Semantics.AtomicResolution.siteCovered - - -contains - - - -Semantics.AtomicResolution.occupancyCovered - -def -occupancyCovered - - - -Semantics.AtomicResolution->Semantics.AtomicResolution.occupancyCovered - - -contains - - - -Semantics.AtomicResolution.coordinateResidualBounded - -def -coordinateResidualBounded - - - -Semantics.AtomicResolution->Semantics.AtomicResolution.coordinateResidualBounded - - -contains - - - -Semantics.AtomicResolution.atomicallyAdmissible - -def -atomicallyAdmissible - - - -Semantics.AtomicResolution->Semantics.AtomicResolution.atomicallyAdmissible - - -contains - - - -Semantics.AtomicResolution.witnessOfEnvironment - -def -witnessOfEnvironment - - - -Semantics.AtomicResolution->Semantics.AtomicResolution.witnessOfEnvironment - - -contains - - - -Semantics.AtomicResolution.sampleAtomicEnvironment - -def -sampleAtomicEnvironment - - - -Semantics.AtomicResolution->Semantics.AtomicResolution.sampleAtomicEnvironment - - -contains - - - -Semantics.AtomicResolution.sampleAtomicResolutionWitness - -def -sampleAtomicResolutionWitness - - - -Semantics.AtomicResolution->Semantics.AtomicResolution.sampleAtomicResolutionWitness - - -contains - - - -Semantics.AtomicResolution->Semantics.FixedPoint - - -imports - - - -Semantics.Atoms - -module -Atoms - - - -Semantics.Atoms.computeSemanticChristoffel - -def -computeSemanticChristoffel - - - -Semantics.Atoms->Semantics.Atoms.computeSemanticChristoffel - - -contains - - - -Semantics.Atoms.semanticCos - -def -semanticCos - - - -Semantics.Atoms->Semantics.Atoms.semanticCos - - -contains - - - -Semantics.Atoms.computeSemanticFrustration - -def -computeSemanticFrustration - - - -Semantics.Atoms->Semantics.Atoms.computeSemanticFrustration - - -contains - - - -Semantics.Atoms.computeSemanticLockingEnergy - -def -computeSemanticLockingEnergy - - - -Semantics.Atoms->Semantics.Atoms.computeSemanticLockingEnergy - - -contains - - - -Semantics.Atoms.updateSemanticStateFromGeometry - -def -updateSemanticStateFromGeometry - - - -Semantics.Atoms->Semantics.Atoms.updateSemanticStateFromGeometry - - -contains - - - -Semantics.Atoms.updateSemanticStateFromChristoffel - -def -updateSemanticStateFromChristoffel - - - -Semantics.Atoms->Semantics.Atoms.updateSemanticStateFromChristoffel - - -contains - - - -Semantics.Atoms->Semantics.FixedPoint - - -imports - - - -Semantics.Autobalance - -module -Autobalance - - - -Semantics.Autobalance.isGrounded - -def -isGrounded - - - -Semantics.Autobalance->Semantics.Autobalance.isGrounded - - -contains - - - -Semantics.Autobalance.balanceCost - -def -balanceCost - - - -Semantics.Autobalance->Semantics.Autobalance.balanceCost - - -contains - - - -Semantics.Autobalance.balanceBind - -def -balanceBind - - - -Semantics.Autobalance->Semantics.Autobalance.balanceBind - - -contains - - - -Semantics.Autobalance->Semantics.FixedPoint - - -imports - - - -Semantics.BHOCS - -module -BHOCS - - - -Semantics.BHOCS.depth_bound - -theorem -depth_bound - - - -Semantics.BHOCS->Semantics.BHOCS.depth_bound - - -contains - - - -Semantics.BHOCS.lookup_terminates - -theorem -lookup_terminates - - - -Semantics.BHOCS->Semantics.BHOCS.lookup_terminates - - -contains - - - -Semantics.BHOCS.maxDepth - -def -maxDepth - - - -Semantics.BHOCS->Semantics.BHOCS.maxDepth - - -contains - - - -Semantics.BHOCS.computeHash - -def -computeHash - - - -Semantics.BHOCS->Semantics.BHOCS.computeHash - - -contains - - - -Semantics.BHOCS.lookup - -def -lookup - - - -Semantics.BHOCS->Semantics.BHOCS.lookup - - -contains - - - -Semantics.BHOCS.integrity_preserved - -def -integrity_preserved - - - -Semantics.BHOCS->Semantics.BHOCS.integrity_preserved - - -contains - - - -Semantics.BHOCS.bhocsCost - -def -bhocsCost - - - -Semantics.BHOCS->Semantics.BHOCS.bhocsCost - - -contains - - - -Semantics.BHOCS.isLawful - -def -isLawful - - - -Semantics.BHOCS->Semantics.BHOCS.isLawful - - -contains - - - -Semantics.BHOCS.extractInvariant - -def -extractInvariant - - - -Semantics.BHOCS->Semantics.BHOCS.extractInvariant - - -contains - - - -Semantics.OrthogonalAmmr - -module -OrthogonalAmmr - - - -Semantics.BHOCS->Semantics.OrthogonalAmmr - - -imports - - - -Semantics.BaselineComparison - -module -BaselineComparison - - - -Semantics.BaselineComparison.for - -theorem -for - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.for - - -contains - - - -Semantics.BaselineComparison.p01Relation_correct - -theorem -p01Relation_correct - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p01Relation_correct - - -contains - - - -Semantics.BaselineComparison.p02Relation_correct - -theorem -p02Relation_correct - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p02Relation_correct - - -contains - - - -Semantics.BaselineComparison.p03Relation_correct - -theorem -p03Relation_correct - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p03Relation_correct - - -contains - - - -Semantics.BaselineComparison.p05Relation_correct - -theorem -p05Relation_correct - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p05Relation_correct - - -contains - - - -Semantics.BaselineComparison.p07Relation_correct - -theorem -p07Relation_correct - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p07Relation_correct - - -contains - - - -Semantics.BaselineComparison.p08Relation_correct - -theorem -p08Relation_correct - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p08Relation_correct - - -contains - - - -Semantics.BaselineComparison.p10Relation_correct - -theorem -p10Relation_correct - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p10Relation_correct - - -contains - - - -Semantics.BaselineComparison.p11Relation_correct - -theorem -p11Relation_correct - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p11Relation_correct - - -contains - - - -Semantics.BaselineComparison.p04Relation_withdrawn - -theorem -p04Relation_withdrawn - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p04Relation_withdrawn - - -contains - - - -Semantics.BaselineComparison.countGoesBeyond - -theorem -countGoesBeyond - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.countGoesBeyond - - -contains - - - -Semantics.BaselineComparison.countAgrees - -theorem -countAgrees - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.countAgrees - - -contains - - - -Semantics.BaselineComparison.countDisagrees - -theorem -countDisagrees - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.countDisagrees - - -contains - - - -Semantics.BaselineComparison.countNoPrediction - -theorem -countNoPrediction - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.countNoPrediction - - -contains - - - -Semantics.BaselineComparison.totalClassified - -theorem -totalClassified - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.totalClassified - - -contains - - - -Semantics.BaselineComparison.BaselineRelation - -def -BaselineRelation - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.BaselineRelation - - -contains - - - -Semantics.BaselineComparison.p01StandardPhysics - -def -p01StandardPhysics - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p01StandardPhysics - - -contains - - - -Semantics.BaselineComparison.p01Relation - -def -p01Relation - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p01Relation - - -contains - - - -Semantics.BaselineComparison.p02StandardPhysics - -def -p02StandardPhysics - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p02StandardPhysics - - -contains - - - -Semantics.BaselineComparison.p02Relation - -def -p02Relation - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p02Relation - - -contains - - - -Semantics.BaselineComparison.p03StandardPhysics - -def -p03StandardPhysics - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p03StandardPhysics - - -contains - - - -Semantics.BaselineComparison.p03Relation - -def -p03Relation - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p03Relation - - -contains - - - -Semantics.BaselineComparison.p04StandardPhysics - -def -p04StandardPhysics - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p04StandardPhysics - - -contains - - - -Semantics.BaselineComparison.p04Relation - -def -p04Relation - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p04Relation - - -contains - - - -Semantics.BaselineComparison.p05StandardPhysics - -def -p05StandardPhysics - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p05StandardPhysics - - -contains - - - -Semantics.BaselineComparison.p05Relation - -def -p05Relation - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p05Relation - - -contains - - - -Semantics.BaselineComparison.p06StandardPhysics - -def -p06StandardPhysics - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p06StandardPhysics - - -contains - - - -Semantics.BaselineComparison.p06Relation - -def -p06Relation - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p06Relation - - -contains - - - -Semantics.BaselineComparison.p07StandardPhysics - -def -p07StandardPhysics - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p07StandardPhysics - - -contains - - - -Semantics.BaselineComparison.p07Relation - -def -p07Relation - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p07Relation - - -contains - - - -Semantics.BaselineComparison.p08StandardPhysics - -def -p08StandardPhysics - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p08StandardPhysics - - -contains - - - -Semantics.BaselineComparison.p08Relation - -def -p08Relation - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p08Relation - - -contains - - - -Semantics.BaselineComparison.p09StandardPhysics - -def -p09StandardPhysics - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p09StandardPhysics - - -contains - - - -Semantics.BaselineComparison.p09Relation - -def -p09Relation - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p09Relation - - -contains - - - -Semantics.BaselineComparison.p10StandardPhysics - -def -p10StandardPhysics - - - -Semantics.BaselineComparison->Semantics.BaselineComparison.p10StandardPhysics - - -contains - - - -Semantics.Basic.computeBasicChristoffel - -def -computeBasicChristoffel - - - -Semantics.Basic->Semantics.Basic.computeBasicChristoffel - - -contains - - - -Semantics.Basic.basicCos - -def -basicCos - - - -Semantics.Basic->Semantics.Basic.basicCos - - -contains - - - -Semantics.Basic.computeBasicFrustration - -def -computeBasicFrustration - - - -Semantics.Basic->Semantics.Basic.computeBasicFrustration - - -contains - - - -Semantics.Basic.computeBasicLockingEnergy - -def -computeBasicLockingEnergy - - - -Semantics.Basic->Semantics.Basic.computeBasicLockingEnergy - - -contains - - - -Semantics.Basic.updateBasicStateFromGeometry - -def -updateBasicStateFromGeometry - - - -Semantics.Basic->Semantics.Basic.updateBasicStateFromGeometry - - -contains - - - -Semantics.Basic.updateBasicStateFromChristoffel - -def -updateBasicStateFromChristoffel - - - -Semantics.Basic->Semantics.Basic.updateBasicStateFromChristoffel - - -contains - - - -Semantics.Basic.hello - -def -hello - - - -Semantics.Basic->Semantics.Basic.hello - - -contains - - - -Semantics.Basic->Semantics.FixedPoint - - -imports - - - -Semantics.BeaverMaskFreshness - -module -BeaverMaskFreshness - - - -Semantics.BeaverMaskFreshness.freshUnusedAdmits - -theorem -freshUnusedAdmits - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.freshUnusedAdmits - - -contains - - - -Semantics.BeaverMaskFreshness.distinctFreshSequenceAdmits - -theorem -distinctFreshSequenceAdmits - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.distinctFreshSequenceAdmits - - -contains - - - -Semantics.BeaverMaskFreshness.reusedSourceRejected - -theorem -reusedSourceRejected - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.reusedSourceRejected - - -contains - - - -Semantics.BeaverMaskFreshness.reusedMaskIdRejected - -theorem -reusedMaskIdRejected - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.reusedMaskIdRejected - - -contains - - - -Semantics.BeaverMaskFreshness.topologyDerivedRejected - -theorem -topologyDerivedRejected - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.topologyDerivedRejected - - -contains - - - -Semantics.BeaverMaskFreshness.adversarialChosenRejected - -theorem -adversarialChosenRejected - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.adversarialChosenRejected - - -contains - - - -Semantics.BeaverMaskFreshness.sourceFreshIndependent - -def -sourceFreshIndependent - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.sourceFreshIndependent - - -contains - - - -Semantics.BeaverMaskFreshness.eventFreshIndependent - -def -eventFreshIndependent - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.eventFreshIndependent - - -contains - - - -Semantics.BeaverMaskFreshness.maskIdUsedBefore - -def -maskIdUsedBefore - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.maskIdUsedBefore - - -contains - - - -Semantics.BeaverMaskFreshness.admissibleMaskEvent - -def -admissibleMaskEvent - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.admissibleMaskEvent - - -contains - - - -Semantics.BeaverMaskFreshness.admitMaskEvent - -def -admitMaskEvent - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.admitMaskEvent - - -contains - - - -Semantics.BeaverMaskFreshness.freshA - -def -freshA - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.freshA - - -contains - - - -Semantics.BeaverMaskFreshness.freshB - -def -freshB - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.freshB - - -contains - - - -Semantics.BeaverMaskFreshness.reusedA - -def -reusedA - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.reusedA - - -contains - - - -Semantics.BeaverMaskFreshness.topologyA - -def -topologyA - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.topologyA - - -contains - - - -Semantics.BeaverMaskFreshness.adversarialA - -def -adversarialA - - - -Semantics.BeaverMaskFreshness->Semantics.BeaverMaskFreshness.adversarialA - - -contains - - - -Semantics.Benchmarks.Grid17x17 - -module -Grid17x17 - - - -Semantics.Benchmarks.Grid17x17->Semantics.Basic - - -imports - - - -Semantics.Benchmarks.Grid17x17.exists_lawful_grid - -theorem -exists_lawful_grid - - - -Semantics.Benchmarks.Grid17x17->Semantics.Benchmarks.Grid17x17.exists_lawful_grid - - -contains - - - -Semantics.Benchmarks.Grid17x17.isSabotaged - -def -isSabotaged - - - -Semantics.Benchmarks.Grid17x17->Semantics.Benchmarks.Grid17x17.isSabotaged - - -contains - - - -Semantics.Benchmarks.Grid17x17.isLawful - -def -isLawful - - - -Semantics.Benchmarks.Grid17x17->Semantics.Benchmarks.Grid17x17.isLawful - - -contains - - - -Semantics.Benchmarks.Grid17x17.solutionGrid - -def -solutionGrid - - - -Semantics.Benchmarks.Grid17x17->Semantics.Benchmarks.Grid17x17.solutionGrid - - -contains - - - -Semantics.Benchmarks.HadwigerNelson - -module -HadwigerNelson - - - -Semantics.BernoulliOccupancyShockbow - -module -BernoulliOccupancyShockbow - - - -Semantics.BernoulliOccupancyShockbow.birthdayTripleAdmits - -theorem -birthdayTripleAdmits - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.birthdayTripleAdmits - - -contains - - - -Semantics.BernoulliOccupancyShockbow.missingPriorHolds - -theorem -missingPriorHolds - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.missingPriorHolds - - -contains - - - -Semantics.BernoulliOccupancyShockbow.overCapacityQuarantines - -theorem -overCapacityQuarantines - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.overCapacityQuarantines - - -contains - - - -Semantics.BernoulliOccupancyShockbow.missingProofQuarantines - -theorem -missingProofQuarantines - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.missingProofQuarantines - - -contains - - - -Semantics.BernoulliOccupancyShockbow.shockbowRejectQuarantines - -theorem -shockbowRejectQuarantines - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.shockbowRejectQuarantines - - -contains - - - -Semantics.BernoulliOccupancyShockbow.birthdayTripleInvariant - -theorem -birthdayTripleInvariant - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.birthdayTripleInvariant - - -contains - - - -Semantics.BernoulliOccupancyShockbow.absDiff - -def -absDiff - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.absDiff - - -contains - - - -Semantics.BernoulliOccupancyShockbow.shockbowPass - -def -shockbowPass - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.shockbowPass - - -contains - - - -Semantics.BernoulliOccupancyShockbow.occupancyDenominator - -def -occupancyDenominator - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.occupancyDenominator - - -contains - - - -Semantics.BernoulliOccupancyShockbow.expectedExactNumerator - -def -expectedExactNumerator - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.expectedExactNumerator - - -contains - - - -Semantics.BernoulliOccupancyShockbow.expectedAtLeastNumerator - -def -expectedAtLeastNumerator - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.expectedAtLeastNumerator - - -contains - - - -Semantics.BernoulliOccupancyShockbow.shapeValid - -def -shapeValid - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.shapeValid - - -contains - - - -Semantics.BernoulliOccupancyShockbow.expectedFitsReplay - -def -expectedFitsReplay - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.expectedFitsReplay - - -contains - - - -Semantics.BernoulliOccupancyShockbow.residualFits - -def -residualFits - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.residualFits - - -contains - - - -Semantics.BernoulliOccupancyShockbow.decideGate - -def -decideGate - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.decideGate - - -contains - - - -Semantics.BernoulliOccupancyShockbow.admittedInvariant - -def -admittedInvariant - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.admittedInvariant - - -contains - - - -Semantics.BernoulliOccupancyShockbow.noShockbow - -def -noShockbow - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.noShockbow - - -contains - - - -Semantics.BernoulliOccupancyShockbow.passingShockbow - -def -passingShockbow - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.passingShockbow - - -contains - - - -Semantics.BernoulliOccupancyShockbow.rejectingShockbow - -def -rejectingShockbow - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.rejectingShockbow - - -contains - - - -Semantics.BernoulliOccupancyShockbow.birthdayTripleFixture - -def -birthdayTripleFixture - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.birthdayTripleFixture - - -contains - - - -Semantics.BernoulliOccupancyShockbow.missingPriorFixture - -def -missingPriorFixture - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.missingPriorFixture - - -contains - - - -Semantics.BernoulliOccupancyShockbow.overCapacityFixture - -def -overCapacityFixture - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.overCapacityFixture - - -contains - - - -Semantics.BernoulliOccupancyShockbow.missingProofFixture - -def -missingProofFixture - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.missingProofFixture - - -contains - - - -Semantics.BernoulliOccupancyShockbow.shockbowRejectFixture - -def -shockbowRejectFixture - - - -Semantics.BernoulliOccupancyShockbow->Semantics.BernoulliOccupancyShockbow.shockbowRejectFixture - - -contains - - - -Mathlib.Data.Nat.Choose.Basic - -mathlib -Mathlib.Data.Nat.Choose.Basic - - - -Semantics.BernoulliOccupancyShockbow->Mathlib.Data.Nat.Choose.Basic - - -imports - - - -Semantics.BigBangTemporalAnchor - -module -BigBangTemporalAnchor - - - -Semantics.BigBangTemporalAnchor.for - -theorem -for - - - -Semantics.BigBangTemporalAnchor->Semantics.BigBangTemporalAnchor.for - - -contains - - - -Semantics.BigBangTemporalAnchor.ageOfUniversePositive - -theorem -ageOfUniversePositive - - - -Semantics.BigBangTemporalAnchor->Semantics.BigBangTemporalAnchor.ageOfUniversePositive - - -contains - - - -Semantics.BigBangTemporalAnchor.frameworkNumberNotLargeEnough - -theorem -frameworkNumberNotLargeEnough - - - -Semantics.BigBangTemporalAnchor->Semantics.BigBangTemporalAnchor.frameworkNumberNotLargeEnough - - -contains - - - -Semantics.BigBangTemporalAnchor.nakedFrameworkPrediction - -theorem -nakedFrameworkPrediction - - - -Semantics.BigBangTemporalAnchor->Semantics.BigBangTemporalAnchor.nakedFrameworkPrediction - - -contains - - - -Semantics.BigBangTemporalAnchor.bigBangProperTime - -def -bigBangProperTime - - - -Semantics.BigBangTemporalAnchor->Semantics.BigBangTemporalAnchor.bigBangProperTime - - -contains - - - -Semantics.BigBangTemporalAnchor.ageOfUniverseYears - -def -ageOfUniverseYears - - - -Semantics.BigBangTemporalAnchor->Semantics.BigBangTemporalAnchor.ageOfUniverseYears - - -contains - - - -Semantics.BigBangTemporalAnchor.ageOfUniverseSeconds - -def -ageOfUniverseSeconds - - - -Semantics.BigBangTemporalAnchor->Semantics.BigBangTemporalAnchor.ageOfUniverseSeconds - - -contains - - - -Semantics.BigBangTemporalAnchor.proposedN_fromFramework - -def -proposedN_fromFramework - - - -Semantics.BigBangTemporalAnchor->Semantics.BigBangTemporalAnchor.proposedN_fromFramework - - -contains - - - -Semantics.BigBangTemporalAnchor.powerOf3NeededForP0 - -def -powerOf3NeededForP0 - - - -Semantics.BigBangTemporalAnchor->Semantics.BigBangTemporalAnchor.powerOf3NeededForP0 - - -contains - - - -Semantics.Bind.bind_preservesLeft - -theorem -bind_preservesLeft - - - -Semantics.Bind->Semantics.Bind.bind_preservesLeft - - -contains - - - -Semantics.Bind.bind_preservesRight - -theorem -bind_preservesRight - - - -Semantics.Bind->Semantics.Bind.bind_preservesRight - - -contains - - - -Semantics.Bind.bind_preservesMetric - -theorem -bind_preservesMetric - - - -Semantics.Bind->Semantics.Bind.bind_preservesMetric - - -contains - - - -Semantics.Bind.bind_cost_nonNegative - -theorem -bind_cost_nonNegative - - - -Semantics.Bind->Semantics.Bind.bind_cost_nonNegative - - -contains - - - -Semantics.Bind.informationalBind_preservesLeft - -theorem -informationalBind_preservesLeft - - - -Semantics.Bind->Semantics.Bind.informationalBind_preservesLeft - - -contains - - - -Semantics.Bind.informationalBind_preservesRight - -theorem -informationalBind_preservesRight - - - -Semantics.Bind->Semantics.Bind.informationalBind_preservesRight - - -contains - - - -Semantics.Bind.Metric - -def -Metric - - - -Semantics.Bind->Semantics.Bind.Metric - - -contains - - - -Semantics.Bind.Witness - -def -Witness - - - -Semantics.Bind->Semantics.Bind.Witness - - -contains - - - -Semantics.Bind.bind - -def -bind - - - -Semantics.Bind->Semantics.Bind.bind - - -contains - - - -Semantics.Bind.informationalBind - -def -informationalBind - - - -Semantics.Bind->Semantics.Bind.informationalBind - - -contains - - - -Semantics.Bind.geometricBind - -def -geometricBind - - - -Semantics.Bind->Semantics.Bind.geometricBind - - -contains - - - -Semantics.Bind.thermodynamicBind - -def -thermodynamicBind - - - -Semantics.Bind->Semantics.Bind.thermodynamicBind - - -contains - - - -Semantics.Bind.physicalBind - -def -physicalBind - - - -Semantics.Bind->Semantics.Bind.physicalBind - - -contains - - - -Semantics.Bind.controlBind - -def -controlBind - - - -Semantics.Bind->Semantics.Bind.controlBind - - -contains - - - -Semantics.Bind.BindGradient - -def -BindGradient - - - -Semantics.Bind->Semantics.Bind.BindGradient - - -contains - - - -Semantics.Bind->Semantics.Bind.BindGradient - - -contains - - - -Semantics.Bind.optimizedBind - -def -optimizedBind - - - -Semantics.Bind->Semantics.Bind.optimizedBind - - -contains - - - -Semantics.Bind.Quaternion - -def -Quaternion - - - -Semantics.Bind->Semantics.Bind.Quaternion - - -contains - - - -Semantics.Bind->Semantics.Bind.Quaternion - - -contains - - - -Semantics.Bind->Semantics.Bind.Quaternion - - -contains - - - -Semantics.Bind->Semantics.Bind.Quaternion - - -contains - - - -Semantics.Bind.InformationTheoreticConstraints - -def -InformationTheoreticConstraints - - - -Semantics.Bind->Semantics.Bind.InformationTheoreticConstraints - - -contains - - - -Semantics.Bind.QuaternionBindGradient - -def -QuaternionBindGradient - - - -Semantics.Bind->Semantics.Bind.QuaternionBindGradient - - -contains - - - -Semantics.Bind->Semantics.Bind.QuaternionBindGradient - - -contains - - - -Semantics.Bind->Semantics.Bind.QuaternionBindGradient - - -contains - - - -Semantics.Bind->Semantics.Bind.QuaternionBindGradient - - -contains - - - -Semantics.Bind->Semantics.FixedPoint - - -imports - - - -Semantics.BindEngine - -module -BindEngine - - - -Semantics.BindEngine.verifyLawfulLoss - -def -verifyLawfulLoss - - - -Semantics.BindEngine->Semantics.BindEngine.verifyLawfulLoss - - -contains - - - -Semantics.BindEngine.calculateBindCost - -def -calculateBindCost - - - -Semantics.BindEngine->Semantics.BindEngine.calculateBindCost - - -contains - - - -Semantics.BindEngine->Semantics.FixedPoint - - -imports - - - -Semantics.Biology.BioRxivFormalization - -module -BioRxivFormalization - - - -Semantics.Biology.BioRxivFormalization.ANI - -theorem -ANI - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.ANI - - -contains - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.ANI - - -contains - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.ANI - - -contains - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.ANI - - -contains - - - -Semantics.Biology.BioRxivFormalization.AAI - -theorem -AAI - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.AAI - - -contains - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.AAI - - -contains - - - -Semantics.Biology.BioRxivFormalization.JukesCantor - -theorem -JukesCantor - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.JukesCantor - - -contains - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.JukesCantor - - -contains - - - -Semantics.Biology.BioRxivFormalization.pLDDT - -theorem -pLDDT - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.pLDDT - - -contains - - - -Semantics.Biology.BioRxivFormalization.pTM - -theorem -pTM - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.pTM - - -contains - - - -Semantics.Biology.BioRxivFormalization.ipTM - -theorem -ipTM - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.ipTM - - -contains - - - -Semantics.Biology.BioRxivFormalization.FSC - -theorem -FSC - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.FSC - - -contains - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.FSC - - -contains - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.FSC - - -contains - - - -Semantics.Biology.BioRxivFormalization.ShannonDiversity - -theorem -ShannonDiversity - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.ShannonDiversity - - -contains - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.ShannonDiversity - - -contains - - - -Semantics.Biology.BioRxivFormalization.sequenceSimilarityBounded - -theorem -sequenceSimilarityBounded - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.sequenceSimilarityBounded - - -contains - - - -Semantics.Biology.BioRxivFormalization.structuralMetricsBounded - -theorem -structuralMetricsBounded - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.structuralMetricsBounded - - -contains - - - -Semantics.Biology.BioRxivFormalization.informationTheoryNonNeg - -theorem -informationTheoryNonNeg - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.informationTheoryNonNeg - - -contains - - - -Semantics.Biology.BioRxivFormalization.log2 - -def -log2 - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.log2 - - -contains - - - -Semantics.Biology.BioRxivFormalization.BLASTStats - -def -BLASTStats - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.BLASTStats - - -contains - - - -Semantics.Biology.BioRxivFormalization.ANOVA - -def -ANOVA - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.ANOVA - - -contains - - - -Semantics.Biology.BioRxivFormalization.TukeyHSD - -def -TukeyHSD - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.TukeyHSD - - -contains - - - -Semantics.Biology.BioRxivFormalization.FoldChange - -def -FoldChange - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.FoldChange - - -contains - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.FoldChange - - -contains - - - -Semantics.Biology.BioRxivFormalization.AUC - -def -AUC - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.AUC - - -contains - - - -Semantics.Biology.BioRxivFormalization.PerPositionEntropy - -def -PerPositionEntropy - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.PerPositionEntropy - - -contains - - - -Semantics.Biology.BioRxivFormalization.oneHotEncode - -def -oneHotEncode - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.oneHotEncode - - -contains - - - -Semantics.Biology.BioRxivFormalization.GaussianBlur - -def -GaussianBlur - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.GaussianBlur - - -contains - - - -Semantics.Biology.BioRxivFormalization.ArchitectureSimilarity - -def -ArchitectureSimilarity - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.ArchitectureSimilarity - - -contains - - - -Semantics.Biology.BioRxivFormalization->Semantics.Biology.BioRxivFormalization.ArchitectureSimilarity - - -contains - - - -Mathlib.Data.Real.Basic - -mathlib -Mathlib.Data.Real.Basic - - - -Semantics.Biology.BioRxivFormalization->Mathlib.Data.Real.Basic - - -imports - - - -Semantics.Biology.QuaternionGenomic - -module -QuaternionGenomic - - - -Semantics.Biology.QuaternionGenomic.nucleotideQuaternionsCarryWitness - -theorem -nucleotideQuaternionsCarryWitness - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.nucleotideQuaternionsCarryWitness - - -contains - - - -Semantics.Biology.QuaternionGenomic.encodeSequenceCarriesWitness - -theorem -encodeSequenceCarriesWitness - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.encodeSequenceCarriesWitness - - -contains - - - -Semantics.Biology.QuaternionGenomic.chiralIncompatibleBoolean - -theorem -chiralIncompatibleBoolean - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.chiralIncompatibleBoolean - - -contains - - - -Semantics.Biology.QuaternionGenomic.watsonCrickClassificationGate - -theorem -watsonCrickClassificationGate - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.watsonCrickClassificationGate - - -contains - - - -Semantics.Biology.QuaternionGenomic.distanceMetricReceipt - -theorem -distanceMetricReceipt - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.distanceMetricReceipt - - -contains - - - -Semantics.Biology.QuaternionGenomic.stochasticEvolutionPreservesUnitWitness - -theorem -stochasticEvolutionPreservesUnitWitness - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.stochasticEvolutionPreservesUnitWitness - - -contains - - - -Semantics.Biology.QuaternionGenomic.resonanceTunedRotationCarriesWitness - -theorem -resonanceTunedRotationCarriesWitness - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.resonanceTunedRotationCarriesWitness - - -contains - - - -Semantics.Biology.QuaternionGenomic.stochasticQuaternionOptimizationPreservesUnitWitness - -theorem -stochasticQuaternionOptimizationPreserve - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.stochasticQuaternionOptimizationPreservesUnitWitness - - -contains - - - -Semantics.Biology.QuaternionGenomic.nucleotideToQuaternion - -def -nucleotideToQuaternion - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.nucleotideToQuaternion - - -contains - - - -Semantics.Biology.QuaternionGenomic.quaternionToNucleotide - -def -quaternionToNucleotide - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.quaternionToNucleotide - - -contains - - - -Semantics.Biology.QuaternionGenomic.slug3GenomicGate - -def -slug3GenomicGate - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.slug3GenomicGate - - -contains - - - -Semantics.Biology.QuaternionGenomic.genomicSlug3Threshold - -def -genomicSlug3Threshold - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.genomicSlug3Threshold - - -contains - - - -Semantics.Biology.QuaternionGenomic.isWatsonCrickPair - -def -isWatsonCrickPair - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.isWatsonCrickPair - - -contains - - - -Semantics.Biology.QuaternionGenomic.encodeSequence - -def -encodeSequence - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.encodeSequence - - -contains - - - -Semantics.Biology.QuaternionGenomic.sequenceDistanceCost - -def -sequenceDistanceCost - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.sequenceDistanceCost - - -contains - - - -Semantics.Biology.QuaternionGenomic.quaternionCompressionRatio - -def -quaternionCompressionRatio - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.quaternionCompressionRatio - - -contains - - - -Semantics.Biology.QuaternionGenomic.parallelTransport - -def -parallelTransport - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.parallelTransport - - -contains - - - -Semantics.Biology.QuaternionGenomic.torsionCurvature - -def -torsionCurvature - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.torsionCurvature - - -contains - - - -Semantics.Biology.QuaternionGenomic.primeIndexedQuaternion - -def -primeIndexedQuaternion - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.primeIndexedQuaternion - - -contains - - - -Semantics.Biology.QuaternionGenomic.stochasticEvolution - -def -stochasticEvolution - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.stochasticEvolution - - -contains - - - -Semantics.Biology.QuaternionGenomic.resonanceTunedRotation - -def -resonanceTunedRotation - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.resonanceTunedRotation - - -contains - - - -Semantics.Biology.QuaternionGenomic.stochasticQuaternionOptimization - -def -stochasticQuaternionOptimization - - - -Semantics.Biology.QuaternionGenomic->Semantics.Biology.QuaternionGenomic.stochasticQuaternionOptimization - - -contains - - - -Semantics.Biology.RGFlowBioinformatics - -module -RGFlowBioinformatics - - - -Semantics.Biology.RGFlowBioinformatics.geneticCode - -def -geneticCode - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.geneticCode - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.oncogenicCodons - -def -oncogenicCodons - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.oncogenicCodons - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.isKnownOncogenicCodon - -def -isKnownOncogenicCodon - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.isKnownOncogenicCodon - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.translateToAminoAcids - -def -translateToAminoAcids - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.translateToAminoAcids - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.spectralDensity - -def -spectralDensity - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.spectralDensity - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.transitionRate - -def -transitionRate - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.transitionRate - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.shannonEntropy - -def -shannonEntropy - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.shannonEntropy - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.calculateSigma - -def -calculateSigma - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.calculateSigma - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.calculateWindowState - -def -calculateWindowState - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.calculateWindowState - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.defaultRGFlowParams - -def -defaultRGFlowParams - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.defaultRGFlowParams - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.rgflowTransform - -def -rgflowTransform - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.rgflowTransform - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.checkDriftBarrier - -def -checkDriftBarrier - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.checkDriftBarrier - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.defaultThresholds - -def -defaultThresholds - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.defaultThresholds - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.evaluateLawfulness - -def -evaluateLawfulness - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.evaluateLawfulness - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.analyzeSequenceWindow - -def -analyzeSequenceWindow - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.analyzeSequenceWindow - - -contains - - - -Semantics.Biology.RGFlowBioinformatics.compareSequenceWindows - -def -compareSequenceWindows - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.Biology.RGFlowBioinformatics.compareSequenceWindows - - -contains - - - -Semantics.SSMS - -module -SSMS - - - -Semantics.Biology.RGFlowBioinformatics->Semantics.SSMS - - -imports - - - -Semantics.BitcoinRGFlow - -module -BitcoinRGFlow - - - -Semantics.BitcoinRGFlow.lawfulReflexive - -theorem -lawfulReflexive - - - -Semantics.BitcoinRGFlow->Semantics.BitcoinRGFlow.lawfulReflexive - - -contains - - - -Semantics.BitcoinRGFlow.bitcoinInformationalBind - -def -bitcoinInformationalBind - - - -Semantics.BitcoinRGFlow->Semantics.BitcoinRGFlow.bitcoinInformationalBind - - -contains - - - -Semantics.BitcoinRGFlow.rollingWindowQ16 - -def -rollingWindowQ16 - - - -Semantics.BitcoinRGFlow->Semantics.BitcoinRGFlow.rollingWindowQ16 - - -contains - - - -Semantics.BitcoinRGFlow.Q1616 - -def -Q1616 - - - -Semantics.BitcoinRGFlow->Semantics.BitcoinRGFlow.Q1616 - - -contains - - - -Semantics.BitcoinRGFlow.safeStdQ16 - -def -safeStdQ16 - - - -Semantics.BitcoinRGFlow->Semantics.BitcoinRGFlow.safeStdQ16 - - -contains - - - -Semantics.BitcoinRGFlow.logReturnsQ16 - -def -logReturnsQ16 - - - -Semantics.BitcoinRGFlow->Semantics.BitcoinRGFlow.logReturnsQ16 - - -contains - - - -Semantics.BitcoinRGFlow.computeSigmaQQ16 - -def -computeSigmaQQ16 - - - -Semantics.BitcoinRGFlow->Semantics.BitcoinRGFlow.computeSigmaQQ16 - - -contains - - - -Semantics.BitcoinRGFlow.isLawfulRGFlowQ16 - -def -isLawfulRGFlowQ16 - - - -Semantics.BitcoinRGFlow->Semantics.BitcoinRGFlow.isLawfulRGFlowQ16 - - -contains - - - -Semantics.BitcoinRGFlow.computeMuQQ16 - -def -computeMuQQ16 - - - -Semantics.BitcoinRGFlow->Semantics.BitcoinRGFlow.computeMuQQ16 - - -contains - - - -Semantics.BitcoinRGFlow.bitcoinRGFlowAnalysisQ16 - -def -bitcoinRGFlowAnalysisQ16 - - - -Semantics.BitcoinRGFlow->Semantics.BitcoinRGFlow.bitcoinRGFlowAnalysisQ16 - - -contains - - - -Semantics.BitcoinRGFlow.batchBitcoinRGFlowQ16 - -def -batchBitcoinRGFlowQ16 - - - -Semantics.BitcoinRGFlow->Semantics.BitcoinRGFlow.batchBitcoinRGFlowQ16 - - -contains - - - -Semantics.BitcoinRGFlow->Semantics.SSMS - - -imports - - - -Semantics.BoundaryDynamics - -module -BoundaryDynamics - - - -Semantics.BoundaryDynamics.reconnectionPotentialOf - -def -reconnectionPotentialOf - - - -Semantics.BoundaryDynamics->Semantics.BoundaryDynamics.reconnectionPotentialOf - - -contains - - - -Semantics.BoundaryDynamics.explicitAliasDetected - -def -explicitAliasDetected - - - -Semantics.BoundaryDynamics->Semantics.BoundaryDynamics.explicitAliasDetected - - -contains - - - -Semantics.BoundaryDynamics.boundarySignatureOf - -def -boundarySignatureOf - - - -Semantics.BoundaryDynamics->Semantics.BoundaryDynamics.boundarySignatureOf - - -contains - - - -Semantics.BoundaryDynamics.classifyReconnectionMode - -def -classifyReconnectionMode - - - -Semantics.BoundaryDynamics->Semantics.BoundaryDynamics.classifyReconnectionMode - - -contains - - - -Semantics.BoundaryDynamics.classifyBoundaryStability - -def -classifyBoundaryStability - - - -Semantics.BoundaryDynamics->Semantics.BoundaryDynamics.classifyBoundaryStability - - -contains - - - -Semantics.BoundaryDynamics.classifyBoundaryFluidity - -def -classifyBoundaryFluidity - - - -Semantics.BoundaryDynamics->Semantics.BoundaryDynamics.classifyBoundaryFluidity - - -contains - - - -Semantics.BoundaryDynamics.effectivePermeability - -def -effectivePermeability - - - -Semantics.BoundaryDynamics->Semantics.BoundaryDynamics.effectivePermeability - - -contains - - - -Semantics.BoundaryDynamics.classifyBoundaryRegime - -def -classifyBoundaryRegime - - - -Semantics.BoundaryDynamics->Semantics.BoundaryDynamics.classifyBoundaryRegime - - -contains - - - -Semantics.BoundaryDynamics.classifyIntersectionFlow - -def -classifyIntersectionFlow - - - -Semantics.BoundaryDynamics->Semantics.BoundaryDynamics.classifyIntersectionFlow - - -contains - - - -Semantics.BoundaryDynamics.resolveBoundaryTransition - -def -resolveBoundaryTransition - - - -Semantics.BoundaryDynamics->Semantics.BoundaryDynamics.resolveBoundaryTransition - - -contains - - - -Semantics.PhysicsScalarBridge - -module -PhysicsScalarBridge - - - -Semantics.BoundaryDynamics->Semantics.PhysicsScalarBridge - - -imports - - - -Semantics.BracketShellCount - -module -BracketShellCount - - - -Semantics.BracketShellCount.shellCountWithinBracket - -theorem -shellCountWithinBracket - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.shellCountWithinBracket - - -contains - - - -Semantics.BracketShellCount.addParticlePreservesBracket - -theorem -addParticlePreservesBracket - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.addParticlePreservesBracket - - -contains - - - -Semantics.BracketShellCount.systemAdmissibleIff - -theorem -systemAdmissibleIff - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.systemAdmissibleIff - - -contains - - - -Semantics.BracketShellCount.gapConservation - -theorem -gapConservation - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.gapConservation - - -contains - - - -Semantics.BracketShellCount.natToFix16 - -def -natToFix16 - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.natToFix16 - - -contains - - - -Semantics.BracketShellCount.empty - -def -empty - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.empty - - -contains - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.empty - - -contains - - - -Semantics.BracketShellCount.full - -def -full - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.full - - -contains - - - -Semantics.BracketShellCount.computeBracket - -def -computeBracket - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.computeBracket - - -contains - - - -Semantics.BracketShellCount.addParticle - -def -addParticle - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.addParticle - - -contains - - - -Semantics.BracketShellCount.removeParticle - -def -removeParticle - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.removeParticle - - -contains - - - -Semantics.BracketShellCount.addShell - -def -addShell - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.addShell - - -contains - - - -Semantics.BracketShellCount.fillShell - -def -fillShell - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.fillShell - - -contains - - - -Semantics.BracketShellCount.computeSystemBracket - -def -computeSystemBracket - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.computeSystemBracket - - -contains - - - -Semantics.BracketShellCount.nuclearShellCapacity - -def -nuclearShellCapacity - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.nuclearShellCapacity - - -contains - - - -Semantics.BracketShellCount.magicNumbers - -def -magicNumbers - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.magicNumbers - - -contains - - - -Semantics.BracketShellCount.nuclearShellSystem - -def -nuclearShellSystem - - - -Semantics.BracketShellCount->Semantics.BracketShellCount.nuclearShellSystem - - -contains - - - -Semantics.BraidBitwiseODE - -module -BraidBitwiseODE - - - -Semantics.BraidBitwiseODE.bitwise_ode_preserves_range - -theorem -bitwise_ode_preserves_range - - - -Semantics.BraidBitwiseODE->Semantics.BraidBitwiseODE.bitwise_ode_preserves_range - - -contains - - - -Semantics.BraidBitwiseODE.cross_step_preserves_slot - -theorem -cross_step_preserves_slot - - - -Semantics.BraidBitwiseODE->Semantics.BraidBitwiseODE.cross_step_preserves_slot - - -contains - - - -Semantics.BraidBitwiseODE.bitwise_ode_correct - -theorem -bitwise_ode_correct - - - -Semantics.BraidBitwiseODE->Semantics.BraidBitwiseODE.bitwise_ode_correct - - -contains - - - -Semantics.BraidBitwiseODE.bitwiseCrossStep - -def -bitwiseCrossStep - - - -Semantics.BraidBitwiseODE->Semantics.BraidBitwiseODE.bitwiseCrossStep - - -contains - - - -Semantics.BraidBitwiseODE.bitwiseODEIntegrate - -def -bitwiseODEIntegrate - - - -Semantics.BraidBitwiseODE->Semantics.BraidBitwiseODE.bitwiseODEIntegrate - - -contains - - - -Semantics.BraidBitwiseODE.bitwiseODEIntegrateSeq - -def -bitwiseODEIntegrateSeq - - - -Semantics.BraidBitwiseODE->Semantics.BraidBitwiseODE.bitwiseODEIntegrateSeq - - -contains - - - -Semantics.BraidBitwiseODE.integrateStrand - -def -integrateStrand - - - -Semantics.BraidBitwiseODE->Semantics.BraidBitwiseODE.integrateStrand - - -contains - - - -Semantics.BraidBitwiseODE.crossingODEStep - -def -crossingODEStep - - - -Semantics.BraidBitwiseODE->Semantics.BraidBitwiseODE.crossingODEStep - - -contains - - - -Semantics.BraidBracket - -module -BraidBracket - - - -Semantics.BraidBracket.zero - -def -zero - - - -Semantics.BraidBracket->Semantics.BraidBracket.zero - - -contains - - - -Semantics.BraidBracket->Semantics.BraidBracket.zero - - -contains - - - -Semantics.BraidBracket.add - -def -add - - - -Semantics.BraidBracket->Semantics.BraidBracket.add - - -contains - - - -Semantics.BraidBracket.neg - -def -neg - - - -Semantics.BraidBracket->Semantics.BraidBracket.neg - - -contains - - - -Semantics.BraidBracket.scale - -def -scale - - - -Semantics.BraidBracket->Semantics.BraidBracket.scale - - -contains - - - -Semantics.BraidBracket.isZero - -def -isZero - - - -Semantics.BraidBracket->Semantics.BraidBracket.isZero - - -contains - - - -Semantics.BraidBracket.normApprox - -def -normApprox - - - -Semantics.BraidBracket->Semantics.BraidBracket.normApprox - - -contains - - - -Semantics.BraidBracket.fromPhaseVec - -def -fromPhaseVec - - - -Semantics.BraidBracket->Semantics.BraidBracket.fromPhaseVec - - -contains - - - -Semantics.BraidBracket.gapConserved - -def -gapConserved - - - -Semantics.BraidBracket->Semantics.BraidBracket.gapConserved - - -contains - - - -Semantics.BraidBracket.addComponentwise - -def -addComponentwise - - - -Semantics.BraidBracket->Semantics.BraidBracket.addComponentwise - - -contains - - - -Semantics.BraidBracket.crossingResidual - -def -crossingResidual - - - -Semantics.BraidBracket->Semantics.BraidBracket.crossingResidual - - -contains - - - -Semantics.BraidBracket.leafEntry - -def -leafEntry - - - -Semantics.BraidBracket->Semantics.BraidBracket.leafEntry - - -contains - - - -Semantics.BraidBracket.crossingEntry - -def -crossingEntry - - - -Semantics.BraidBracket->Semantics.BraidBracket.crossingEntry - - -contains - - - -Semantics.BraidBracket.cosineSimilarity - -def -cosineSimilarity - - - -Semantics.BraidBracket->Semantics.BraidBracket.cosineSimilarity - - -contains - - - -Semantics.BraidBracket.gradientAlignment - -def -gradientAlignment - - - -Semantics.BraidBracket->Semantics.BraidBracket.gradientAlignment - - -contains - - - -Semantics.BraidBracket.phaseAccumulation - -def -phaseAccumulation - - - -Semantics.BraidBracket->Semantics.BraidBracket.phaseAccumulation - - -contains - - - -Semantics.BraidCross - -module -BraidCross - - - -Semantics.BraidCross.crossSlot - -def -crossSlot - - - -Semantics.BraidCross->Semantics.BraidCross.crossSlot - - -contains - - - -Semantics.BraidCross.braidCross - -def -braidCross - - - -Semantics.BraidCross->Semantics.BraidCross.braidCross - - -contains - - - -Semantics.BraidCross.parallelCross - -def -parallelCross - - - -Semantics.BraidCross->Semantics.BraidCross.parallelCross - - -contains - - - -Semantics.BraidCross.crossingAdmissible - -def -crossingAdmissible - - - -Semantics.BraidCross->Semantics.BraidCross.crossingAdmissible - - -contains - - - -Semantics.BraidCross.crossingResidualNorm - -def -crossingResidualNorm - - - -Semantics.BraidCross->Semantics.BraidCross.crossingResidualNorm - - -contains - - - -Semantics.BraidCross.fromCross - -def -fromCross - - - -Semantics.BraidCross->Semantics.BraidCross.fromCross - - -contains - - - -Semantics.BraidDiatCodec - -module -BraidDiatCodec - - - -Semantics.BraidDiatCodec.add_sub_cancel_uint32 - -theorem -add_sub_cancel_uint32 - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.add_sub_cancel_uint32 - - -contains - - - -Semantics.BraidDiatCodec.encode_decode_roundtrip - -theorem -encode_decode_roundtrip - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.encode_decode_roundtrip - - -contains - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.encode_decode_roundtrip - - -contains - - - -Semantics.BraidDiatCodec.decodeQ02_encodeQ02 - -theorem -decodeQ02_encodeQ02 - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.decodeQ02_encodeQ02 - - -contains - - - -Semantics.BraidDiatCodec.decodeQ02_encodeQ02_id - -theorem -decodeQ02_encodeQ02_id - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.decodeQ02_encodeQ02_id - - -contains - - - -Semantics.BraidDiatCodec.bracket_roundtrip - -theorem -bracket_roundtrip - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.bracket_roundtrip - - -contains - - - -Semantics.BraidDiatCodec.fromQRState_reflectionData_length_test_2_2_1 - -theorem -fromQRState_reflectionData_length_test_2 - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.fromQRState_reflectionData_length_test_2_2_1 - - -contains - - - -Semantics.BraidDiatCodec.fromQRState_rData_length_test_2_2_1 - -theorem -fromQRState_rData_length_test_2_2_1 - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.fromQRState_rData_length_test_2_2_1 - - -contains - - - -Semantics.BraidDiatCodec.foldl_append_size - -theorem -foldl_append_size - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.foldl_append_size - - -contains - - - -Semantics.BraidDiatCodec.fromQRState_reflectionData_length - -theorem -fromQRState_reflectionData_length - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.fromQRState_reflectionData_length - - -contains - - - -Semantics.BraidDiatCodec.fromQRState_rData_length - -theorem -fromQRState_rData_length - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.fromQRState_rData_length - - -contains - - - -Semantics.BraidDiatCodec.decode_encode_roundtrip - -theorem -decode_encode_roundtrip - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.decode_encode_roundtrip - - -contains - - - -Semantics.BraidDiatCodec.qr_encode_decode_roundtrip - -theorem -qr_encode_decode_roundtrip - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.qr_encode_decode_roundtrip - - -contains - - - -Semantics.BraidDiatCodec.maxOffset - -def -maxOffset - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.maxOffset - - -contains - - - -Semantics.BraidDiatCodec.encode - -def -encode - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.encode - - -contains - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.encode - - -contains - - - -Semantics.BraidDiatCodec.decode - -def -decode - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.decode - - -contains - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.decode - - -contains - - - -Semantics.BraidDiatCodec.fromMountain - -def -fromMountain - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.fromMountain - - -contains - - - -Semantics.BraidDiatCodec.toMountain - -def -toMountain - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.toMountain - - -contains - - - -Semantics.BraidDiatCodec.encodeQ02 - -def -encodeQ02 - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.encodeQ02 - - -contains - - - -Semantics.BraidDiatCodec.decodeQ02 - -def -decodeQ02 - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.decodeQ02 - - -contains - - - -Semantics.BraidDiatCodec.fromBracket - -def -fromBracket - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.fromBracket - - -contains - - - -Semantics.BraidDiatCodec.toBracket - -def -toBracket - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.toBracket - - -contains - - - -Semantics.BraidDiatCodec.isQ02Range - -def -isQ02Range - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.isQ02Range - - -contains - - - -Semantics.BraidDiatCodec.fromQRState - -def -fromQRState - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.fromQRState - - -contains - - - -Semantics.BraidDiatCodec.fromQRNode - -def -fromQRNode - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.fromQRNode - - -contains - - - -Semantics.BraidDiatCodec.empty - -def -empty - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.empty - - -contains - - - -Semantics.BraidDiatCodec.testQR_2_2_1 - -def -testQR_2_2_1 - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.testQR_2_2_1 - - -contains - - - -Semantics.BraidDiatCodec.testQR_2_2_2 - -def -testQR_2_2_2 - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.testQR_2_2_2 - - -contains - - - -Semantics.BraidDiatCodec.isValid - -def -isValid - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.isValid - - -contains - - - -Semantics.BraidDiatCodec.estimatedBytes - -def -estimatedBytes - - - -Semantics.BraidDiatCodec->Semantics.BraidDiatCodec.estimatedBytes - - -contains - - - -Semantics.BraidEigensolid - -module -BraidEigensolid - - - -Semantics.BraidEigensolid.eigensolid_convergence - -theorem -eigensolid_convergence - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.eigensolid_convergence - - -contains - - - -Semantics.BraidEigensolid.encodeReceipt_residuals_length - -theorem -encodeReceipt_residuals_length - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.encodeReceipt_residuals_length - - -contains - - - -Semantics.BraidEigensolid.encodeReceipt_step_count - -theorem -encodeReceipt_step_count - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.encodeReceipt_step_count - - -contains - - - -Semantics.BraidEigensolid.encodeReceipt_residuals_def - -theorem -encodeReceipt_residuals_def - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.encodeReceipt_residuals_def - - -contains - - - -Semantics.BraidEigensolid.encodeReceipt_residual_at - -theorem -encodeReceipt_residual_at - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.encodeReceipt_residual_at - - -contains - - - -Semantics.BraidEigensolid.encodeReceipt_crossing_matrix_eq - -theorem -encodeReceipt_crossing_matrix_eq - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.encodeReceipt_crossing_matrix_eq - - -contains - - - -Semantics.BraidEigensolid.receipt_invertible - -theorem -receipt_invertible - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.receipt_invertible - - -contains - - - -Semantics.BraidEigensolid.IsTopologicallyTrivial_iff - -theorem -IsTopologicallyTrivial_iff - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.IsTopologicallyTrivial_iff - - -contains - - - -Semantics.BraidEigensolid.add_eq_left_of_non_saturated - -theorem -add_eq_left_of_non_saturated - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.add_eq_left_of_non_saturated - - -contains - - - -Semantics.BraidEigensolid.crossPartner_involutive - -theorem -crossPartner_involutive - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.crossPartner_involutive - - -contains - - - -Semantics.BraidEigensolid.eigensolid_trivial - -theorem -eigensolid_trivial - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.eigensolid_trivial - - -contains - - - -Semantics.BraidEigensolid.inZeroGenusLayer_iff - -theorem -inZeroGenusLayer_iff - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.inZeroGenusLayer_iff - - -contains - - - -Semantics.BraidEigensolid.jsrr_residue_fixed - -theorem -jsrr_residue_fixed - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.jsrr_residue_fixed - - -contains - - - -Semantics.BraidEigensolid.jsrr_profile_fixed - -theorem -jsrr_profile_fixed - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.jsrr_profile_fixed - - -contains - - - -Semantics.BraidEigensolid.kkt_block_bounded - -theorem -kkt_block_bounded - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.kkt_block_bounded - - -contains - - - -Semantics.BraidEigensolid.zero_genus_kkt_bounded - -theorem -zero_genus_kkt_bounded - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.zero_genus_kkt_bounded - - -contains - - - -Semantics.BraidEigensolid.goldenCentering - -def -goldenCentering - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.goldenCentering - - -contains - - - -Semantics.BraidEigensolid.crossStep - -def -crossStep - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.crossStep - - -contains - - - -Semantics.BraidEigensolid.encodeReceipt - -def -encodeReceipt - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.encodeReceipt - - -contains - - - -Semantics.BraidEigensolid.IsEigensolid - -def -IsEigensolid - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.IsEigensolid - - -contains - - - -Semantics.BraidEigensolid.zero - -def -zero - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.zero - - -contains - - - -Semantics.BraidEigensolid.add - -def -add - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.add - - -contains - - - -Semantics.BraidEigensolid.stepA - -def -stepA - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.stepA - - -contains - - - -Semantics.BraidEigensolid.stepB - -def -stepB - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.stepB - - -contains - - - -Semantics.BraidEigensolid.torusCrossStep - -def -torusCrossStep - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.torusCrossStep - - -contains - - - -Semantics.BraidEigensolid.spatialWinding - -def -spatialWinding - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.spatialWinding - - -contains - - - -Semantics.BraidEigensolid.phaseWinding - -def -phaseWinding - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.phaseWinding - - -contains - - - -Semantics.BraidEigensolid.IsTopologicallyTrivial - -def -IsTopologicallyTrivial - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.IsTopologicallyTrivial - - -contains - - - -Semantics.BraidEigensolid.IsTopologicallyTrivialBool - -def -IsTopologicallyTrivialBool - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.IsTopologicallyTrivialBool - - -contains - - - -Semantics.BraidEigensolid.IsNonSaturatedPhase - -def -IsNonSaturatedPhase - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.IsNonSaturatedPhase - - -contains - - - -Semantics.BraidEigensolid.IsNonSaturated - -def -IsNonSaturated - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.IsNonSaturated - - -contains - - - -Semantics.BraidEigensolid.crossPartner - -def -crossPartner - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.crossPartner - - -contains - - - -Semantics.BraidEigensolid.ZeroGenusLayer - -def -ZeroGenusLayer - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.ZeroGenusLayer - - -contains - - - -Semantics.BraidEigensolid.inZeroGenusLayer - -def -inZeroGenusLayer - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.inZeroGenusLayer - - -contains - - - -Semantics.BraidEigensolid.strandResidue - -def -strandResidue - - - -Semantics.BraidEigensolid->Semantics.BraidEigensolid.strandResidue - - -contains - - - -Semantics.BraidField - -module -BraidField - - - -Semantics.BraidField.IntNode - -def -IntNode - - - -Semantics.BraidField->Semantics.BraidField.IntNode - - -contains - - - -Semantics.BraidField.BettiCycleSet - -def -BettiCycleSet - - - -Semantics.BraidField->Semantics.BraidField.BettiCycleSet - - -contains - - - -Semantics.BraidField.merge - -def -merge - - - -Semantics.BraidField->Semantics.BraidField.merge - - -contains - - - -Semantics.BraidField.size - -def -size - - - -Semantics.BraidField->Semantics.BraidField.size - - -contains - - - -Semantics.BraidField.peaks - -def -peaks - - - -Semantics.BraidField->Semantics.BraidField.peaks - - -contains - - - -Semantics.BraidField.latestPeak - -def -latestPeak - - - -Semantics.BraidField->Semantics.BraidField.latestPeak - - -contains - - - -Semantics.BraidField.mountainList - -def -mountainList - - - -Semantics.BraidField->Semantics.BraidField.mountainList - - -contains - - - -Semantics.BraidField.append - -def -append - - - -Semantics.BraidField->Semantics.BraidField.append - - -contains - - - -Semantics.BraidField.isStable - -def -isStable - - - -Semantics.BraidField->Semantics.BraidField.isStable - - -contains - - - -Semantics.BraidField.burdenCost - -def -burdenCost - - - -Semantics.BraidField->Semantics.BraidField.burdenCost - - -contains - - - -Semantics.BraidField.geometryCost - -def -geometryCost - - - -Semantics.BraidField->Semantics.BraidField.geometryCost - - -contains - - - -Semantics.BraidField.adaptationCost - -def -adaptationCost - - - -Semantics.BraidField->Semantics.BraidField.adaptationCost - - -contains - - - -Semantics.BraidField.protectionCost - -def -protectionCost - - - -Semantics.BraidField->Semantics.BraidField.protectionCost - - -contains - - - -Semantics.BraidField.computePIST - -def -computePIST - - - -Semantics.BraidField->Semantics.BraidField.computePIST - - -contains - - - -Semantics.BraidField.SpherionState - -def -SpherionState - - - -Semantics.BraidField->Semantics.BraidField.SpherionState - - -contains - - - -Semantics.BraidField->Semantics.BraidField.SpherionState - - -contains - - - -Semantics.BraidField->Semantics.BraidField.SpherionState - - -contains - - - -Semantics.BraidField.voidUpdate - -def -voidUpdate - - - -Semantics.BraidField->Semantics.BraidField.voidUpdate - - -contains - - - -Semantics.BraidField.betaStep - -def -betaStep - - - -Semantics.BraidField->Semantics.BraidField.betaStep - - -contains - - - -Semantics.BraidField.rgFlow - -def -rgFlow - - - -Semantics.BraidField->Semantics.BraidField.rgFlow - - -contains - - - -Mathlib.Data.List.Basic - -mathlib -Mathlib.Data.List.Basic - - - -Semantics.BraidField->Mathlib.Data.List.Basic - - -imports - - - -Semantics.BraidSerial - -module -BraidSerial - - - -Semantics.BraidSerial.witnessRoundtripHeader - -theorem -witnessRoundtripHeader - - - -Semantics.BraidSerial->Semantics.BraidSerial.witnessRoundtripHeader - - -contains - - - -Semantics.BraidSerial.witnessRoundtripPayload - -theorem -witnessRoundtripPayload - - - -Semantics.BraidSerial->Semantics.BraidSerial.witnessRoundtripPayload - - -contains - - - -Semantics.BraidSerial.invalidFrameRejected - -theorem -invalidFrameRejected - - - -Semantics.BraidSerial->Semantics.BraidSerial.invalidFrameRejected - - -contains - - - -Semantics.BraidSerial.directCodecRoundtripBytes - -theorem -directCodecRoundtripBytes - - - -Semantics.BraidSerial->Semantics.BraidSerial.directCodecRoundtripBytes - - -contains - - - -Semantics.BraidSerial.headerBytes_length - -theorem -headerBytes_length - - - -Semantics.BraidSerial->Semantics.BraidSerial.headerBytes_length - - -contains - - - -Semantics.BraidSerial.packetBytes_length_bound - -theorem -packetBytes_length_bound - - - -Semantics.BraidSerial->Semantics.BraidSerial.packetBytes_length_bound - - -contains - - - -Semantics.BraidSerial.PacketFitsOneFrame - -theorem -PacketFitsOneFrame - - - -Semantics.BraidSerial->Semantics.BraidSerial.PacketFitsOneFrame - - -contains - - - -Semantics.BraidSerial.oneFramePayloadPreserved - -theorem -oneFramePayloadPreserved - - - -Semantics.BraidSerial->Semantics.BraidSerial.oneFramePayloadPreserved - - -contains - - - -Semantics.BraidSerial.empty - -def -empty - - - -Semantics.BraidSerial->Semantics.BraidSerial.empty - - -contains - - - -Semantics.BraidSerial->Semantics.BraidSerial.empty - - -contains - - - -Semantics.BraidSerial.fromBytes - -def -fromBytes - - - -Semantics.BraidSerial->Semantics.BraidSerial.fromBytes - - -contains - - - -Semantics.BraidSerial.length - -def -length - - - -Semantics.BraidSerial->Semantics.BraidSerial.length - - -contains - - - -Semantics.BraidSerial.maxWires - -def -maxWires - - - -Semantics.BraidSerial->Semantics.BraidSerial.maxWires - - -contains - - - -Semantics.BraidSerial.validWireCount - -def -validWireCount - - - -Semantics.BraidSerial->Semantics.BraidSerial.validWireCount - - -contains - - - -Semantics.BraidSerial.byteOfNat - -def -byteOfNat - - - -Semantics.BraidSerial->Semantics.BraidSerial.byteOfNat - - -contains - - - -Semantics.BraidSerial.byteToPhase - -def -byteToPhase - - - -Semantics.BraidSerial->Semantics.BraidSerial.byteToPhase - - -contains - - - -Semantics.BraidSerial.phaseBucket - -def -phaseBucket - - - -Semantics.BraidSerial->Semantics.BraidSerial.phaseBucket - - -contains - - - -Semantics.BraidSerial.slotScalar - -def -slotScalar - - - -Semantics.BraidSerial->Semantics.BraidSerial.slotScalar - - -contains - - - -Semantics.BraidSerial.bytePhaseVec - -def -bytePhaseVec - - - -Semantics.BraidSerial->Semantics.BraidSerial.bytePhaseVec - - -contains - - - -Semantics.BraidSerial.headerBytes - -def -headerBytes - - - -Semantics.BraidSerial->Semantics.BraidSerial.headerBytes - - -contains - - - -Semantics.BraidSerial.packetBytes - -def -packetBytes - - - -Semantics.BraidSerial->Semantics.BraidSerial.packetBytes - - -contains - - - -Semantics.BraidSerial.laneBytes - -def -laneBytes - - - -Semantics.BraidSerial->Semantics.BraidSerial.laneBytes - - -contains - - - -Semantics.BraidSerial.byteAt - -def -byteAt - - - -Semantics.BraidSerial->Semantics.BraidSerial.byteAt - - -contains - - - -Semantics.BraidSerial.decodeHeader - -def -decodeHeader - - - -Semantics.BraidSerial->Semantics.BraidSerial.decodeHeader - - -contains - - - -Semantics.BraidSerial.decodePayload - -def -decodePayload - - - -Semantics.BraidSerial->Semantics.BraidSerial.decodePayload - - -contains - - - -Semantics.BraidSerial.encodeStrand - -def -encodeStrand - - - -Semantics.BraidSerial->Semantics.BraidSerial.encodeStrand - - -contains - - - -Semantics.BraidSerial.encodeStrands - -def -encodeStrands - - - -Semantics.BraidSerial->Semantics.BraidSerial.encodeStrands - - -contains - - - -Semantics.BraidSerial.encodePacket - -def -encodePacket - - - -Semantics.BraidSerial->Semantics.BraidSerial.encodePacket - - -contains - - - -Semantics.BraidSpherionBridge - -module -BraidSpherionBridge - - - -Semantics.BraidSpherionBridge.crossPair_0 - -theorem -crossPair_0 - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.crossPair_0 - - -contains - - - -Semantics.BraidSpherionBridge.crossPair_1 - -theorem -crossPair_1 - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.crossPair_1 - - -contains - - - -Semantics.BraidSpherionBridge.crossPair_2 - -theorem -crossPair_2 - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.crossPair_2 - - -contains - - - -Semantics.BraidSpherionBridge.crossPair_3 - -theorem -crossPair_3 - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.crossPair_3 - - -contains - - - -Semantics.BraidSpherionBridge.strandPair_distinct - -theorem -strandPair_distinct - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.strandPair_distinct - - -contains - - - -Semantics.BraidSpherionBridge.q16Clamp_add_clamp - -theorem -q16Clamp_add_clamp - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.q16Clamp_add_clamp - - -contains - - - -Semantics.BraidSpherionBridge.ofNat_add_eq - -theorem -ofNat_add_eq - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.ofNat_add_eq - - -contains - - - -Semantics.BraidSpherionBridge.ofNat_toNat_add - -theorem -ofNat_toNat_add - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.ofNat_toNat_add - - -contains - - - -Semantics.BraidSpherionBridge.phaseVec_add_eq - -theorem -phaseVec_add_eq - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.phaseVec_add_eq - - -contains - - - -Semantics.BraidSpherionBridge.getD_nonneg - -theorem -getD_nonneg - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.getD_nonneg - - -contains - - - -Semantics.BraidSpherionBridge.ofNat_zero_eq - -theorem -ofNat_zero_eq - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.ofNat_zero_eq - - -contains - - - -Semantics.BraidSpherionBridge.intNodeToPhaseVec_getD - -theorem -intNodeToPhaseVec_getD - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.intNodeToPhaseVec_getD - - -contains - - - -Semantics.BraidSpherionBridge.add_coords_getD - -theorem -add_coords_getD - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.add_coords_getD - - -contains - - - -Semantics.BraidSpherionBridge.IntNodeToPhaseVec_add - -theorem -IntNodeToPhaseVec_add - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.IntNodeToPhaseVec_add - - -contains - - - -Semantics.BraidSpherionBridge.braidCross_phase_linear - -theorem -braidCross_phase_linear - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.braidCross_phase_linear - - -contains - - - -Semantics.BraidSpherionBridge.Mountain_merge_apex_add - -theorem -Mountain_merge_apex_add - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.Mountain_merge_apex_add - - -contains - - - -Semantics.BraidSpherionBridge.braidCross_merge_correspondence - -theorem -braidCross_merge_correspondence - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.braidCross_merge_correspondence - - -contains - - - -Semantics.BraidSpherionBridge.spike_step_correspondence - -theorem -spike_step_correspondence - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.spike_step_correspondence - - -contains - - - -Semantics.BraidSpherionBridge.strandFlow_step_count - -theorem -strandFlow_step_count - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.strandFlow_step_count - - -contains - - - -Semantics.BraidSpherionBridge.k_spike_step_count - -theorem -k_spike_step_count - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.k_spike_step_count - - -contains - - - -Semantics.BraidSpherionBridge.ofNat_val_nonneg - -theorem -ofNat_val_nonneg - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.ofNat_val_nonneg - - -contains - - - -Semantics.BraidSpherionBridge.crossSlot_val_nonneg - -theorem -crossSlot_val_nonneg - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.crossSlot_val_nonneg - - -contains - - - -Semantics.BraidSpherionBridge.braidCross_bracket_admissible - -theorem -braidCross_bracket_admissible - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.braidCross_bracket_admissible - - -contains - - - -Semantics.BraidSpherionBridge.receipt_correspondence - -theorem -receipt_correspondence - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.receipt_correspondence - - -contains - - - -Semantics.BraidSpherionBridge.receipt_encode_stable - -theorem -receipt_encode_stable - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.receipt_encode_stable - - -contains - - - -Semantics.BraidSpherionBridge.IntNodeToPhaseVec - -def -IntNodeToPhaseVec - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.IntNodeToPhaseVec - - -contains - - - -Semantics.BraidSpherionBridge.mountain - -def -mountain - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.mountain - - -contains - - - -Semantics.BraidSpherionBridge.strandPair - -def -strandPair - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.strandPair - - -contains - - - -Semantics.BraidSpherionBridge.strandZero - -def -strandZero - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.strandZero - - -contains - - - -Semantics.BraidSpherionBridge.initStrandState - -def -initStrandState - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.initStrandState - - -contains - - - -Semantics.BraidSpherionBridge.spikeToStrandUpdate - -def -spikeToStrandUpdate - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.spikeToStrandUpdate - - -contains - - - -Semantics.BraidSpherionBridge.strandFlow - -def -strandFlow - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.strandFlow - - -contains - - - -Semantics.BraidSpherionBridge.extractCrossingMatrix - -def -extractCrossingMatrix - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.extractCrossingMatrix - - -contains - - - -Semantics.BraidSpherionBridge.extractSidonSlack - -def -extractSidonSlack - - - -Semantics.BraidSpherionBridge->Semantics.BraidSpherionBridge.extractSidonSlack - - -contains - - - -Semantics.BraidStrand - -module -BraidStrand - - - -Semantics.BraidStrand.fromLeaf - -def -fromLeaf - - - -Semantics.BraidStrand->Semantics.BraidStrand.fromLeaf - - -contains - - - -Semantics.BraidStrand.updateBracket - -def -updateBracket - - - -Semantics.BraidStrand->Semantics.BraidStrand.updateBracket - - -contains - - - -Semantics.BraidStrand.addContribution - -def -addContribution - - - -Semantics.BraidStrand->Semantics.BraidStrand.addContribution - - -contains - - - -Semantics.BraidStrand.zero - -def -zero - - - -Semantics.BraidStrand->Semantics.BraidStrand.zero - - -contains - - - -Semantics.BraidStrand.isAdmissible - -def -isAdmissible - - - -Semantics.BraidStrand->Semantics.BraidStrand.isAdmissible - - -contains - - - -Semantics.BraidStrand.magnitude - -def -magnitude - - - -Semantics.BraidStrand->Semantics.BraidStrand.magnitude - - -contains - - - -Semantics.BraidStrand.phaseAngle - -def -phaseAngle - - - -Semantics.BraidStrand->Semantics.BraidStrand.phaseAngle - - -contains - - - -Semantics.BraidStrand.empty - -def -empty - - - -Semantics.BraidStrand->Semantics.BraidStrand.empty - - -contains - - - -Semantics.BraidStrand.register - -def -register - - - -Semantics.BraidStrand->Semantics.BraidStrand.register - - -contains - - - -Semantics.BraidStrand.count - -def -count - - - -Semantics.BraidStrand->Semantics.BraidStrand.count - - -contains - - - -Semantics.BraidStrand.allAdmissible - -def -allAdmissible - - - -Semantics.BraidStrand->Semantics.BraidStrand.allAdmissible - - -contains - - - -Semantics.BraidTreeDIATPIST - -module -BraidTreeDIATPIST - - - -Semantics.BraidTreeDIATPIST.raw_add_mono - -theorem -raw_add_mono - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.raw_add_mono - - -contains - - - -Semantics.BraidTreeDIATPIST.raw_mul_mono - -theorem -raw_mul_mono - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.raw_mul_mono - - -contains - - - -Semantics.BraidTreeDIATPIST.raw_abs_nonneg - -theorem -raw_abs_nonneg - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.raw_abs_nonneg - - -contains - - - -Semantics.BraidTreeDIATPIST.raw_abs_triangle - -theorem -raw_abs_triangle - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.raw_abs_triangle - - -contains - - - -Semantics.BraidTreeDIATPIST.raw_sum_nonneg - -theorem -raw_sum_nonneg - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.raw_sum_nonneg - - -contains - - - -Semantics.BraidTreeDIATPIST.eigensolid_convergence - -theorem -eigensolid_convergence - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.eigensolid_convergence - - -contains - - - -Semantics.BraidTreeDIATPIST.receipt_invertible - -theorem -receipt_invertible - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.receipt_invertible - - -contains - - - -Semantics.BraidTreeDIATPIST.q0_2_add_nonneg - -theorem -q0_2_add_nonneg - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.q0_2_add_nonneg - - -contains - - - -Semantics.BraidTreeDIATPIST.q0_2_mul_nonneg - -theorem -q0_2_mul_nonneg - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.q0_2_mul_nonneg - - -contains - - - -Semantics.BraidTreeDIATPIST.q0_2_raw_add - -def -q0_2_raw_add - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.q0_2_raw_add - - -contains - - - -Semantics.BraidTreeDIATPIST.q0_2_raw_mul - -def -q0_2_raw_mul - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.q0_2_raw_mul - - -contains - - - -Semantics.BraidTreeDIATPIST.q0_2_raw_abs - -def -q0_2_raw_abs - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.q0_2_raw_abs - - -contains - - - -Semantics.BraidTreeDIATPIST.q0_2_raw_sum - -def -q0_2_raw_sum - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.q0_2_raw_sum - - -contains - - - -Semantics.BraidTreeDIATPIST.isAdmissible - -def -isAdmissible - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.isAdmissible - - -contains - - - -Semantics.BraidTreeDIATPIST.allAdmissible - -def -allAdmissible - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.allAdmissible - - -contains - - - -Semantics.BraidTreeDIATPIST.fammGate - -def -fammGate - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.fammGate - - -contains - - - -Semantics.BraidTreeDIATPIST.crossStrands - -def -crossStrands - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.crossStrands - - -contains - - - -Semantics.BraidTreeDIATPIST.crossStep - -def -crossStep - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.crossStep - - -contains - - - -Semantics.BraidTreeDIATPIST.IsEigensolid - -def -IsEigensolid - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.IsEigensolid - - -contains - - - -Semantics.BraidTreeDIATPIST.encodeReceipt - -def -encodeReceipt - - - -Semantics.BraidTreeDIATPIST->Semantics.BraidTreeDIATPIST.encodeReceipt - - -contains - - - -Semantics.BraidVCNBridge - -module -BraidVCNBridge - - - -Semantics.BraidVCNBridge.covers - -theorem -covers - - - -Semantics.BraidVCNBridge->Semantics.BraidVCNBridge.covers - - -contains - - - -Semantics.BraidVCNBridge.eigensolid_convergence - -theorem -eigensolid_convergence - - - -Semantics.BraidVCNBridge->Semantics.BraidVCNBridge.eigensolid_convergence - - -contains - - - -Semantics.BraidVCNBridge.receipt_invertible - -theorem -receipt_invertible - - - -Semantics.BraidVCNBridge->Semantics.BraidVCNBridge.receipt_invertible - - -contains - - - -Semantics.BraidVCNBridge.encodeBraidStrand - -def -encodeBraidStrand - - - -Semantics.BraidVCNBridge->Semantics.BraidVCNBridge.encodeBraidStrand - - -contains - - - -Semantics.BraidVCNBridge.encodeBraidCrossing - -def -encodeBraidCrossing - - - -Semantics.BraidVCNBridge->Semantics.BraidVCNBridge.encodeBraidCrossing - - -contains - - - -Semantics.BraidVCNBridge.encodeMountain - -def -encodeMountain - - - -Semantics.BraidVCNBridge->Semantics.BraidVCNBridge.encodeMountain - - -contains - - - -Semantics.BraidVCNBridge.decodeMountain - -def -decodeMountain - - - -Semantics.BraidVCNBridge->Semantics.BraidVCNBridge.decodeMountain - - -contains - - - -Semantics.BraidVCNBridge.encodeFrame - -def -encodeFrame - - - -Semantics.BraidVCNBridge->Semantics.BraidVCNBridge.encodeFrame - - -contains - - - -Semantics.BraidVCNBridge.decodeFrame - -def -decodeFrame - - - -Semantics.BraidVCNBridge->Semantics.BraidVCNBridge.decodeFrame - - -contains - - - -Semantics.BraidVCNBridge->Semantics.FixedPoint - - -imports - - - -Semantics.BraidedField - -module -BraidedField - - - -Semantics.BraidedField.sample_braiding_history_len - -theorem -sample_braiding_history_len - - - -Semantics.BraidedField->Semantics.BraidedField.sample_braiding_history_len - - -contains - - - -Semantics.BraidedField.sample_invariant_tick - -theorem -sample_invariant_tick - - - -Semantics.BraidedField->Semantics.BraidedField.sample_invariant_tick - - -contains - - - -Semantics.BraidedField.sample_candidate_protected - -theorem -sample_candidate_protected - - - -Semantics.BraidedField->Semantics.BraidedField.sample_candidate_protected - - -contains - - - -Semantics.BraidedField.gap_collapse_not_candidate - -theorem -gap_collapse_not_candidate - - - -Semantics.BraidedField->Semantics.BraidedField.gap_collapse_not_candidate - - -contains - - - -Semantics.BraidedField.defaultQuasiparticle - -def -defaultQuasiparticle - - - -Semantics.BraidedField->Semantics.BraidedField.defaultQuasiparticle - - -contains - - - -Semantics.BraidedField.total - -def -total - - - -Semantics.BraidedField->Semantics.BraidedField.total - - -contains - - - -Semantics.BraidedField.validIndex - -def -validIndex - - - -Semantics.BraidedField->Semantics.BraidedField.validIndex - - -contains - - - -Semantics.BraidedField.validBraiding - -def -validBraiding - - - -Semantics.BraidedField->Semantics.BraidedField.validBraiding - - -contains - - - -Semantics.BraidedField.applyBraiding - -def -applyBraiding - - - -Semantics.BraidedField->Semantics.BraidedField.applyBraiding - - -contains - - - -Semantics.BraidedField.topologicalInvariant - -def -topologicalInvariant - - - -Semantics.BraidedField->Semantics.BraidedField.topologicalInvariant - - -contains - - - -Semantics.BraidedField.sameInvariant - -def -sameInvariant - - - -Semantics.BraidedField->Semantics.BraidedField.sameInvariant - - -contains - - - -Semantics.BraidedField.braidPhase - -def -braidPhase - - - -Semantics.BraidedField->Semantics.BraidedField.braidPhase - - -contains - - - -Semantics.BraidedField.wavefunctionTick - -def -wavefunctionTick - - - -Semantics.BraidedField->Semantics.BraidedField.wavefunctionTick - - -contains - - - -Semantics.BraidedField.intAbs - -def -intAbs - - - -Semantics.BraidedField->Semantics.BraidedField.intAbs - - -contains - - - -Semantics.BraidedField.effectiveMassMilli - -def -effectiveMassMilli - - - -Semantics.BraidedField->Semantics.BraidedField.effectiveMassMilli - - -contains - - - -Semantics.BraidedField.braid - -def -braid - - - -Semantics.BraidedField->Semantics.BraidedField.braid - - -contains - - - -Semantics.BraidedField.totalPhase - -def -totalPhase - - - -Semantics.BraidedField->Semantics.BraidedField.totalPhase - - -contains - - - -Semantics.BraidedField.isProtectionCandidate - -def -isProtectionCandidate - - - -Semantics.BraidedField->Semantics.BraidedField.isProtectionCandidate - - -contains - - - -Semantics.BraidedField.sampleHamiltonian - -def -sampleHamiltonian - - - -Semantics.BraidedField->Semantics.BraidedField.sampleHamiltonian - - -contains - - - -Semantics.BraidedField.sampleField - -def -sampleField - - - -Semantics.BraidedField->Semantics.BraidedField.sampleField - - -contains - - - -Semantics.BraidedField.sampleBraids - -def -sampleBraids - - - -Semantics.BraidedField->Semantics.BraidedField.sampleBraids - - -contains - - - -Semantics.BraidedField.sampleBraidedField - -def -sampleBraidedField - - - -Semantics.BraidedField->Semantics.BraidedField.sampleBraidedField - - -contains - - - -Semantics.BraidedField.sampleTopologicalField - -def -sampleTopologicalField - - - -Semantics.BraidedField->Semantics.BraidedField.sampleTopologicalField - - -contains - - - -Semantics.BraidedField.gapCollapseField - -def -gapCollapseField - - - -Semantics.BraidedField->Semantics.BraidedField.gapCollapseField - - -contains - - - -Semantics.BraidedFieldPaths - -module -BraidedFieldPaths - - - -Semantics.BraidedFieldPaths->Mathlib.Data.List.Basic - - -imports - - - -Semantics.BraidedFieldPaths.path_integrity_preserved - -theorem -path_integrity_preserved - - - -Semantics.BraidedFieldPaths->Semantics.BraidedFieldPaths.path_integrity_preserved - - -contains - - - -Semantics.BraidedFieldPaths.far_commute_example - -theorem -far_commute_example - - - -Semantics.BraidedFieldPaths->Semantics.BraidedFieldPaths.far_commute_example - - -contains - - - -Semantics.BraidedFieldPaths.yang_baxter_example - -theorem -yang_baxter_example - - - -Semantics.BraidedFieldPaths->Semantics.BraidedFieldPaths.yang_baxter_example - - -contains - - - -Semantics.BraidedFieldPaths.far_commute_symmetric - -theorem -far_commute_symmetric - - - -Semantics.BraidedFieldPaths->Semantics.BraidedFieldPaths.far_commute_symmetric - - -contains - - - -Semantics.BraidedFieldPaths.s0 - -def -s0 - - - -Semantics.BraidedFieldPaths->Semantics.BraidedFieldPaths.s0 - - -contains - - - -Semantics.BraidedFieldPaths.s1 - -def -s1 - - - -Semantics.BraidedFieldPaths->Semantics.BraidedFieldPaths.s1 - - -contains - - - -Semantics.BraidedFieldPaths.s2 - -def -s2 - - - -Semantics.BraidedFieldPaths->Semantics.BraidedFieldPaths.s2 - - -contains - - - -Semantics.BraidedFieldPaths.farLeft - -def -farLeft - - - -Semantics.BraidedFieldPaths->Semantics.BraidedFieldPaths.farLeft - - -contains - - - -Semantics.BraidedFieldPaths.farRight - -def -farRight - - - -Semantics.BraidedFieldPaths->Semantics.BraidedFieldPaths.farRight - - -contains - - - -Semantics.BraidedFieldPaths.yangBaxterLeft - -def -yangBaxterLeft - - - -Semantics.BraidedFieldPaths->Semantics.BraidedFieldPaths.yangBaxterLeft - - -contains - - - -Semantics.BraidedFieldPaths.yangBaxterRight - -def -yangBaxterRight - - - -Semantics.BraidedFieldPaths->Semantics.BraidedFieldPaths.yangBaxterRight - - -contains - - - -Semantics.BraidedFieldPaths.pathLength - -def -pathLength - - - -Semantics.BraidedFieldPaths->Semantics.BraidedFieldPaths.pathLength - - -contains - - - -Semantics.BraidedFieldPaths.generatorIndexSum - -def -generatorIndexSum - - - -Semantics.BraidedFieldPaths->Semantics.BraidedFieldPaths.generatorIndexSum - - -contains - - - -Semantics.BrainBoxDescriptor - -module -BrainBoxDescriptor - - - -Semantics.BrainBoxDescriptor.composeAssoc - -theorem -composeAssoc - - - -Semantics.BrainBoxDescriptor->Semantics.BrainBoxDescriptor.composeAssoc - - -contains - - - -Semantics.BrainBoxDescriptor.identityLeft - -theorem -identityLeft - - - -Semantics.BrainBoxDescriptor->Semantics.BrainBoxDescriptor.identityLeft - - -contains - - - -Semantics.BrainBoxDescriptor.identityRight - -theorem -identityRight - - - -Semantics.BrainBoxDescriptor->Semantics.BrainBoxDescriptor.identityRight - - -contains - - - -Semantics.BrainBoxDescriptor.pipelineCompressionAchievesTarget - -theorem -pipelineCompressionAchievesTarget - - - -Semantics.BrainBoxDescriptor->Semantics.BrainBoxDescriptor.pipelineCompressionAchievesTarget - - -contains - - - -Semantics.BrainBoxDescriptor.pipelineErrorBelowOnePercent - -theorem -pipelineErrorBelowOnePercent - - - -Semantics.BrainBoxDescriptor->Semantics.BrainBoxDescriptor.pipelineErrorBelowOnePercent - - -contains - - - -Semantics.BrainBoxDescriptor.bbdKernelDeltaExtraction - -def -bbdKernelDeltaExtraction - - - -Semantics.BrainBoxDescriptor->Semantics.BrainBoxDescriptor.bbdKernelDeltaExtraction - - -contains - - - -Semantics.BrainBoxDescriptor.bbdGeneticCodon - -def -bbdGeneticCodon - - - -Semantics.BrainBoxDescriptor->Semantics.BrainBoxDescriptor.bbdGeneticCodon - - -contains - - - -Semantics.BrainBoxDescriptor.bbdDeltaGCL - -def -bbdDeltaGCL - - - -Semantics.BrainBoxDescriptor->Semantics.BrainBoxDescriptor.bbdDeltaGCL - - -contains - - - -Semantics.BrainBoxDescriptor.bbdSwarmComposition - -def -bbdSwarmComposition - - - -Semantics.BrainBoxDescriptor->Semantics.BrainBoxDescriptor.bbdSwarmComposition - - -contains - - - -Semantics.BrainBoxDescriptor.compose - -def -compose - - - -Semantics.BrainBoxDescriptor->Semantics.BrainBoxDescriptor.compose - - -contains - - - -Semantics.BrainBoxDescriptor.identityBBD - -def -identityBBD - - - -Semantics.BrainBoxDescriptor->Semantics.BrainBoxDescriptor.identityBBD - - -contains - - - -Semantics.BrainBoxDescriptor.humanNeuralPipeline - -def -humanNeuralPipeline - - - -Semantics.BrainBoxDescriptor->Semantics.BrainBoxDescriptor.humanNeuralPipeline - - -contains - - - -Semantics.Burgers2DPDE - -module -Burgers2DPDE - - - -Semantics.Burgers2DPDE.energy_correspondence_2d - -theorem -energy_correspondence_2d - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.energy_correspondence_2d - - -contains - - - -Semantics.Burgers2DPDE.mass_correspondence_2d - -theorem -mass_correspondence_2d - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.mass_correspondence_2d - - -contains - - - -Semantics.Burgers2DPDE.get2D - -def -get2D - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.get2D - - -contains - - - -Semantics.Burgers2DPDE.centralDiffX - -def -centralDiffX - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.centralDiffX - - -contains - - - -Semantics.Burgers2DPDE.centralDiffY - -def -centralDiffY - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.centralDiffY - - -contains - - - -Semantics.Burgers2DPDE.secondDiffX - -def -secondDiffX - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.secondDiffX - - -contains - - - -Semantics.Burgers2DPDE.secondDiffY - -def -secondDiffY - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.secondDiffY - - -contains - - - -Semantics.Burgers2DPDE.burgersU_RHS - -def -burgersU_RHS - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.burgersU_RHS - - -contains - - - -Semantics.Burgers2DPDE.burgersV_RHS - -def -burgersV_RHS - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.burgersV_RHS - - -contains - - - -Semantics.Burgers2DPDE.stepEuler - -def -stepEuler - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.stepEuler - - -contains - - - -Semantics.Burgers2DPDE.runSteps - -def -runSteps - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.runSteps - - -contains - - - -Semantics.Burgers2DPDE.kineticEnergy - -def -kineticEnergy - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.kineticEnergy - - -contains - - - -Semantics.Burgers2DPDE.totalMass - -def -totalMass - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.totalMass - - -contains - - - -Semantics.Burgers2DPDE.maxVelocity - -def -maxVelocity - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.maxVelocity - - -contains - - - -Semantics.Burgers2DPDE.burgers2DInvariant - -def -burgers2DInvariant - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.burgers2DInvariant - - -contains - - - -Semantics.Burgers2DPDE.test2DState - -def -test2DState - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.test2DState - - -contains - - - -Semantics.Burgers2DPDE.burgers2DToBraidDef - -def -burgers2DToBraidDef - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.burgers2DToBraidDef - - -contains - - - -Semantics.Burgers2DPDE.burgers2DToBraid - -def -burgers2DToBraid - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.burgers2DToBraid - - -contains - - - -Semantics.Burgers2DPDE.burgers2DTheoremReceipt - -def -burgers2DTheoremReceipt - - - -Semantics.Burgers2DPDE->Semantics.Burgers2DPDE.burgers2DTheoremReceipt - - -contains - - - -Semantics.Burgers3DPDE - -module -Burgers3DPDE - - - -Semantics.Burgers3DPDE.energy_correspondence_3d - -theorem -energy_correspondence_3d - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.energy_correspondence_3d - - -contains - - - -Semantics.Burgers3DPDE.mass_correspondence_3d - -theorem -mass_correspondence_3d - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.mass_correspondence_3d - - -contains - - - -Semantics.Burgers3DPDE.get3D - -def -get3D - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.get3D - - -contains - - - -Semantics.Burgers3DPDE.centralDiffX - -def -centralDiffX - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.centralDiffX - - -contains - - - -Semantics.Burgers3DPDE.centralDiffY - -def -centralDiffY - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.centralDiffY - - -contains - - - -Semantics.Burgers3DPDE.centralDiffZ - -def -centralDiffZ - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.centralDiffZ - - -contains - - - -Semantics.Burgers3DPDE.secondDiffX - -def -secondDiffX - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.secondDiffX - - -contains - - - -Semantics.Burgers3DPDE.secondDiffY - -def -secondDiffY - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.secondDiffY - - -contains - - - -Semantics.Burgers3DPDE.secondDiffZ - -def -secondDiffZ - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.secondDiffZ - - -contains - - - -Semantics.Burgers3DPDE.burgersU_RHS - -def -burgersU_RHS - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.burgersU_RHS - - -contains - - - -Semantics.Burgers3DPDE.burgersV_RHS - -def -burgersV_RHS - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.burgersV_RHS - - -contains - - - -Semantics.Burgers3DPDE.burgersW_RHS - -def -burgersW_RHS - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.burgersW_RHS - - -contains - - - -Semantics.Burgers3DPDE.stepEuler - -def -stepEuler - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.stepEuler - - -contains - - - -Semantics.Burgers3DPDE.runSteps - -def -runSteps - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.runSteps - - -contains - - - -Semantics.Burgers3DPDE.kineticEnergy - -def -kineticEnergy - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.kineticEnergy - - -contains - - - -Semantics.Burgers3DPDE.burgers3DInvariant - -def -burgers3DInvariant - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.burgers3DInvariant - - -contains - - - -Semantics.Burgers3DPDE.test3DState - -def -test3DState - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.test3DState - - -contains - - - -Semantics.Burgers3DPDE.burgers3DToBraidDef - -def -burgers3DToBraidDef - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.burgers3DToBraidDef - - -contains - - - -Semantics.Burgers3DPDE.burgers3DToBraid - -def -burgers3DToBraid - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.burgers3DToBraid - - -contains - - - -Semantics.Burgers3DPDE.burgers3DTheoremReceipt - -def -burgers3DTheoremReceipt - - - -Semantics.Burgers3DPDE->Semantics.Burgers3DPDE.burgers3DTheoremReceipt - - -contains - - - -Semantics.BurgersHilbertPDE - -module -BurgersHilbertPDE - - - -Semantics.BurgersHilbertPDE.energy_correspondence_bh - -theorem -energy_correspondence_bh - - - -Semantics.BurgersHilbertPDE->Semantics.BurgersHilbertPDE.energy_correspondence_bh - - -contains - - - -Semantics.BurgersHilbertPDE.threshold_stability_test_witness - -theorem -threshold_stability_test_witness - - - -Semantics.BurgersHilbertPDE->Semantics.BurgersHilbertPDE.threshold_stability_test_witness - - -contains - - - -Semantics.BurgersHilbertPDE.discreteHilbert - -def -discreteHilbert - - - -Semantics.BurgersHilbertPDE->Semantics.BurgersHilbertPDE.discreteHilbert - - -contains - - - -Semantics.BurgersHilbertPDE.burgersHilbertRHS - -def -burgersHilbertRHS - - - -Semantics.BurgersHilbertPDE->Semantics.BurgersHilbertPDE.burgersHilbertRHS - - -contains - - - -Semantics.BurgersHilbertPDE.stepEuler - -def -stepEuler - - - -Semantics.BurgersHilbertPDE->Semantics.BurgersHilbertPDE.stepEuler - - -contains - - - -Semantics.BurgersHilbertPDE.runSteps - -def -runSteps - - - -Semantics.BurgersHilbertPDE->Semantics.BurgersHilbertPDE.runSteps - - -contains - - - -Semantics.BurgersHilbertPDE.kineticEnergy - -def -kineticEnergy - - - -Semantics.BurgersHilbertPDE->Semantics.BurgersHilbertPDE.kineticEnergy - - -contains - - - -Semantics.BurgersHilbertPDE.totalMass - -def -totalMass - - - -Semantics.BurgersHilbertPDE->Semantics.BurgersHilbertPDE.totalMass - - -contains - - - -Semantics.BurgersHilbertPDE.burgersHilbertInvariant - -def -burgersHilbertInvariant - - - -Semantics.BurgersHilbertPDE->Semantics.BurgersHilbertPDE.burgersHilbertInvariant - - -contains - - - -Semantics.BurgersHilbertPDE.testBHState - -def -testBHState - - - -Semantics.BurgersHilbertPDE->Semantics.BurgersHilbertPDE.testBHState - - -contains - - - -Semantics.BurgersHilbertPDE.burgersHilbertToBraidDef - -def -burgersHilbertToBraidDef - - - -Semantics.BurgersHilbertPDE->Semantics.BurgersHilbertPDE.burgersHilbertToBraidDef - - -contains - - - -Semantics.BurgersHilbertPDE.etaCritical - -def -etaCritical - - - -Semantics.BurgersHilbertPDE->Semantics.BurgersHilbertPDE.etaCritical - - -contains - - - -Semantics.BurgersHilbertPDE.threshold_instability_conjecture - -def -threshold_instability_conjecture - - - -Semantics.BurgersHilbertPDE->Semantics.BurgersHilbertPDE.threshold_instability_conjecture - - -contains - - - -Semantics.BurgersHilbertPDE.burgersHilbertTheoremReceipt - -def -burgersHilbertTheoremReceipt - - - -Semantics.BurgersHilbertPDE->Semantics.BurgersHilbertPDE.burgersHilbertTheoremReceipt - - -contains - - - -Semantics.BurgersNKConsistency - -module -BurgersNKConsistency - - - -Semantics.BurgersNKConsistency.energy_dissipation_satisfies_scar_evolution - -theorem -energy_dissipation_satisfies_scar_evolut - - - -Semantics.BurgersNKConsistency->Semantics.BurgersNKConsistency.energy_dissipation_satisfies_scar_evolution - - -contains - - - -Semantics.BurgersNKConsistency.unconditional_cfl_stability - -theorem -unconditional_cfl_stability - - - -Semantics.BurgersNKConsistency->Semantics.BurgersNKConsistency.unconditional_cfl_stability - - -contains - - - -Semantics.BurgersNKConsistency.applyViscosity_one - -theorem -applyViscosity_one - - - -Semantics.BurgersNKConsistency->Semantics.BurgersNKConsistency.applyViscosity_one - - -contains - - - -Semantics.BurgersNKConsistency.mass_conservation_inviscid_limit - -theorem -mass_conservation_inviscid_limit - - - -Semantics.BurgersNKConsistency->Semantics.BurgersNKConsistency.mass_conservation_inviscid_limit - - -contains - - - -Semantics.BurgersNKConsistency.complexity_regularization - -theorem -complexity_regularization - - - -Semantics.BurgersNKConsistency->Semantics.BurgersNKConsistency.complexity_regularization - - -contains - - - -Semantics.BurgersNKConsistency.burgers_satisfies_nk_hodge_famm - -theorem -burgers_satisfies_nk_hodge_famm - - - -Semantics.BurgersNKConsistency->Semantics.BurgersNKConsistency.burgers_satisfies_nk_hodge_famm - - -contains - - - -Semantics.BurgersNKConsistency.burgers_satisfies_nk_hodge_famm_betti - -theorem -burgers_satisfies_nk_hodge_famm_betti - - - -Semantics.BurgersNKConsistency->Semantics.BurgersNKConsistency.burgers_satisfies_nk_hodge_famm_betti - - -contains - - - -Semantics.BurgersPDE - -module -BurgersPDE - - - -Semantics.BurgersPDE.energyChangeRateTestState - -theorem -energyChangeRateTestState - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.energyChangeRateTestState - - -contains - - - -Semantics.BurgersPDE.quatModulusSq_nonneg - -theorem -quatModulusSq_nonneg - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.quatModulusSq_nonneg - - -contains - - - -Semantics.BurgersPDE.dualQuatEnergy_nonneg - -theorem -dualQuatEnergy_nonneg - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.dualQuatEnergy_nonneg - - -contains - - - -Semantics.BurgersPDE.Q16_16 - -theorem -Q16_16 - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.Q16_16 - - -contains - - - -Semantics.BurgersPDE.applyViscosity_energy_le - -theorem -applyViscosity_energy_le - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.applyViscosity_energy_le - - -contains - - - -Semantics.BurgersPDE.energy_correspondence_testState - -theorem -energy_correspondence_testState - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.energy_correspondence_testState - - -contains - - - -Semantics.BurgersPDE.step_correspondence_bounded - -theorem -step_correspondence_bounded - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.step_correspondence_bounded - - -contains - - - -Semantics.BurgersPDE.energy_dissipation_testDQ - -theorem -energy_dissipation_testDQ - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.energy_dissipation_testDQ - - -contains - - - -Semantics.BurgersPDE.energy_dissipation_testDQ2 - -theorem -energy_dissipation_testDQ2 - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.energy_dissipation_testDQ2 - - -contains - - - -Semantics.BurgersPDE.energy_strictly_dissipates_testDQ - -theorem -energy_strictly_dissipates_testDQ - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.energy_strictly_dissipates_testDQ - - -contains - - - -Semantics.BurgersPDE.viscosity_stable_testDQ_fine - -theorem -viscosity_stable_testDQ_fine - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.viscosity_stable_testDQ_fine - - -contains - - - -Semantics.BurgersPDE.viscosity_stable_testDQ_half - -theorem -viscosity_stable_testDQ_half - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.viscosity_stable_testDQ_half - - -contains - - - -Semantics.BurgersPDE.viscosity_stable_testDQ_zero - -theorem -viscosity_stable_testDQ_zero - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.viscosity_stable_testDQ_zero - - -contains - - - -Semantics.BurgersPDE.viscosity_stable_testDQ_unit - -theorem -viscosity_stable_testDQ_unit - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.viscosity_stable_testDQ_unit - - -contains - - - -Semantics.BurgersPDE.viscosity_stable_testDQ2_half - -theorem -viscosity_stable_testDQ2_half - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.viscosity_stable_testDQ2_half - - -contains - - - -Semantics.BurgersPDE.mass_conservation_identity - -theorem -mass_conservation_identity - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.mass_conservation_identity - - -contains - - - -Semantics.BurgersPDE.mass_conservation_identity_dq2 - -theorem -mass_conservation_identity_dq2 - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.mass_conservation_identity_dq2 - - -contains - - - -Semantics.BurgersPDE.mass_decreases_with_viscosity - -theorem -mass_decreases_with_viscosity - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.mass_decreases_with_viscosity - - -contains - - - -Semantics.BurgersPDE.complexityRegularizationTestState - -theorem -complexityRegularizationTestState - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.complexityRegularizationTestState - - -contains - - - -Semantics.BurgersPDE.braid_complexity_bounded - -theorem -braid_complexity_bounded - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.braid_complexity_bounded - - -contains - - - -Semantics.BurgersPDE.forwardDiff - -def -forwardDiff - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.forwardDiff - - -contains - - - -Semantics.BurgersPDE.centralDiff - -def -centralDiff - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.centralDiff - - -contains - - - -Semantics.BurgersPDE.secondDiff - -def -secondDiff - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.secondDiff - - -contains - - - -Semantics.BurgersPDE.burgersRHS - -def -burgersRHS - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.burgersRHS - - -contains - - - -Semantics.BurgersPDE.stepEuler - -def -stepEuler - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.stepEuler - - -contains - - - -Semantics.BurgersPDE.runSteps - -def -runSteps - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.runSteps - - -contains - - - -Semantics.BurgersPDE.kineticEnergy - -def -kineticEnergy - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.kineticEnergy - - -contains - - - -Semantics.BurgersPDE.maxVelocity - -def -maxVelocity - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.maxVelocity - - -contains - - - -Semantics.BurgersPDE.burgersInvariant - -def -burgersInvariant - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.burgersInvariant - - -contains - - - -Semantics.BurgersPDE.testState - -def -testState - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.testState - - -contains - - - -Semantics.BurgersPDE.energyChangeRate - -def -energyChangeRate - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.energyChangeRate - - -contains - - - -Semantics.BurgersPDE.quatModulusSq - -def -quatModulusSq - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.quatModulusSq - - -contains - - - -Semantics.BurgersPDE.dualQuatEnergy - -def -dualQuatEnergy - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.dualQuatEnergy - - -contains - - - -Semantics.BurgersPDE.applyViscosity - -def -applyViscosity - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.applyViscosity - - -contains - - - -Semantics.BurgersPDE.burgersToBraidDef - -def -burgersToBraidDef - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.burgersToBraidDef - - -contains - - - -Semantics.BurgersPDE.testDQ_from_Burgers - -def -testDQ_from_Burgers - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.testDQ_from_Burgers - - -contains - - - -Semantics.BurgersPDE.testDQ - -def -testDQ - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.testDQ - - -contains - - - -Semantics.BurgersPDE.testNuDecay - -def -testNuDecay - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.testNuDecay - - -contains - - - -Semantics.BurgersPDE.testDQ2 - -def -testDQ2 - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.testDQ2 - - -contains - - - -Semantics.BurgersPDE.testNuHalf - -def -testNuHalf - - - -Semantics.BurgersPDE->Semantics.BurgersPDE.testNuHalf - - -contains - - - -Semantics.CERNEigensolidData - -module -CERNEigensolidData - - - -Semantics.CERNEigensolidData.pseudorapidity_conservation - -theorem -pseudorapidity_conservation - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.pseudorapidity_conservation - - -contains - - - -Semantics.CERNEigensolidData.charge_parity_symmetry - -theorem -charge_parity_symmetry - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.charge_parity_symmetry - - -contains - - - -Semantics.CERNEigensolidData.charge_parity_symmetry_perturbative - -theorem -charge_parity_symmetry_perturbative - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.charge_parity_symmetry_perturbative - - -contains - - - -Semantics.CERNEigensolidData.cross_section_conservation - -theorem -cross_section_conservation - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.cross_section_conservation - - -contains - - - -Semantics.CERNEigensolidData.cross_section_unitarity - -theorem -cross_section_unitarity - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.cross_section_unitarity - - -contains - - - -Semantics.CERNEigensolidData.momentum_conservation - -theorem -momentum_conservation - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.momentum_conservation - - -contains - - - -Semantics.CERNEigensolidData.flavor_conservation_top_higgs - -theorem -flavor_conservation_top_higgs - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.flavor_conservation_top_higgs - - -contains - - - -Semantics.CERNEigensolidData.flavor_conservation_higgs_z - -theorem -flavor_conservation_higgs_z - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.flavor_conservation_higgs_z - - -contains - - - -Semantics.CERNEigensolidData.CP_violation_detected - -theorem -CP_violation_detected - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.CP_violation_detected - - -contains - - - -Semantics.CERNEigensolidData.CPT_violation_detected - -theorem -CPT_violation_detected - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.CPT_violation_detected - - -contains - - - -Semantics.CERNEigensolidData.Lorentz_violation_detected - -theorem -Lorentz_violation_detected - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.Lorentz_violation_detected - - -contains - - - -Semantics.CERNEigensolidData.eigensolid_convergence_cern - -theorem -eigensolid_convergence_cern - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.eigensolid_convergence_cern - - -contains - - - -Semantics.CERNEigensolidData.eigensolid_convergence_bounded - -theorem -eigensolid_convergence_bounded - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.eigensolid_convergence_bounded - - -contains - - - -Semantics.CERNEigensolidData.pde_coupling_alpha_s - -def -pde_coupling_alpha_s - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.pde_coupling_alpha_s - - -contains - - - -Semantics.CERNEigensolidData.pde_fermi_constant - -def -pde_fermi_constant - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.pde_fermi_constant - - -contains - - - -Semantics.CERNEigensolidData.pde_z_mass - -def -pde_z_mass - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.pde_z_mass - - -contains - - - -Semantics.CERNEigensolidData.pde_top_mass - -def -pde_top_mass - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.pde_top_mass - - -contains - - - -Semantics.CERNEigensolidData.pde_higgs_mass - -def -pde_higgs_mass - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.pde_higgs_mass - - -contains - - - -Semantics.CERNEigensolidData.desi_rederived_eigenvalue - -def -desi_rederived_eigenvalue - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.desi_rederived_eigenvalue - - -contains - - - -Semantics.CERNEigensolidData.desi_rederived_explained_mass - -def -desi_rederived_explained_mass - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.desi_rederived_explained_mass - - -contains - - - -Semantics.CERNEigensolidData.desi_old_vs_new_diff_pct - -def -desi_old_vs_new_diff_pct - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.desi_old_vs_new_diff_pct - - -contains - - - -Semantics.CERNEigensolidData.pseudorapidityCheck - -def -pseudorapidityCheck - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.pseudorapidityCheck - - -contains - - - -Semantics.CERNEigensolidData.crossSectionCheck - -def -crossSectionCheck - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.crossSectionCheck - - -contains - - - -Semantics.CERNEigensolidData.momentumCheck - -def -momentumCheck - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.momentumCheck - - -contains - - - -Semantics.CERNEigensolidData.flavorCheckTopHiggs - -def -flavorCheckTopHiggs - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.flavorCheckTopHiggs - - -contains - - - -Semantics.CERNEigensolidData.flavorCheckHiggsZ - -def -flavorCheckHiggsZ - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.flavorCheckHiggsZ - - -contains - - - -Semantics.CERNEigensolidData.receipt - -def -receipt - - - -Semantics.CERNEigensolidData->Semantics.CERNEigensolidData.receipt - - -contains - - - -Semantics.CGAVersorAddress - -module -CGAVersorAddress - - - -Semantics.CGAVersorAddress.cgaInner - -def -cgaInner - - - -Semantics.CGAVersorAddress->Semantics.CGAVersorAddress.cgaInner - - -contains - - - -Semantics.CGAVersorAddress.e0 - -def -e0 - - - -Semantics.CGAVersorAddress->Semantics.CGAVersorAddress.e0 - - -contains - - - -Semantics.CGAVersorAddress.einf - -def -einf - - - -Semantics.CGAVersorAddress->Semantics.CGAVersorAddress.einf - - -contains - - - -Semantics.CGAVersorAddress.isNull - -def -isNull - - - -Semantics.CGAVersorAddress->Semantics.CGAVersorAddress.isNull - - -contains - - - -Semantics.CGAVersorAddress.cgaPoint - -def -cgaPoint - - - -Semantics.CGAVersorAddress->Semantics.CGAVersorAddress.cgaPoint - - -contains - - - -Semantics.CGAVersorAddress.squaredDiff - -def -squaredDiff - - - -Semantics.CGAVersorAddress->Semantics.CGAVersorAddress.squaredDiff - - -contains - - - -Semantics.CGAVersorAddress.cgaDistSq - -def -cgaDistSq - - - -Semantics.CGAVersorAddress->Semantics.CGAVersorAddress.cgaDistSq - - -contains - - - -Semantics.CGAVersorAddress.accessCost - -def -accessCost - - - -Semantics.CGAVersorAddress->Semantics.CGAVersorAddress.accessCost - - -contains - - - -Semantics.CGAVersorAddress.delayFromDist - -def -delayFromDist - - - -Semantics.CGAVersorAddress->Semantics.CGAVersorAddress.delayFromDist - - -contains - - - -Semantics.CGAVersorAddress.cellFromAddress - -def -cellFromAddress - - - -Semantics.CGAVersorAddress->Semantics.CGAVersorAddress.cellFromAddress - - -contains - - - -Semantics.CGAVersorAddress.originAddress - -def -originAddress - - - -Semantics.CGAVersorAddress->Semantics.CGAVersorAddress.originAddress - - -contains - - - -Semantics.CGAVersorAddress.unitXAddress - -def -unitXAddress - - - -Semantics.CGAVersorAddress->Semantics.CGAVersorAddress.unitXAddress - - -contains - - - -Semantics.CGAVersorAddress.point234Address - -def -point234Address - - - -Semantics.CGAVersorAddress->Semantics.CGAVersorAddress.point234Address - - -contains - - - -Semantics.FAMM - -module -FAMM - - - -Semantics.CGAVersorAddress->Semantics.FAMM - - -imports - - - -Semantics.CacheSieve - -module -CacheSieve - - - -Semantics.CacheSieve.edgeBand - -def -edgeBand - - - -Semantics.CacheSieve->Semantics.CacheSieve.edgeBand - - -contains - - - -Semantics.CacheSieve.isEdgeBand - -def -isEdgeBand - - - -Semantics.CacheSieve->Semantics.CacheSieve.isEdgeBand - - -contains - - - -Semantics.CacheSieve.stateToUInt8 - -def -stateToUInt8 - - - -Semantics.CacheSieve->Semantics.CacheSieve.stateToUInt8 - - -contains - - - -Semantics.CacheSieve.advanceNode - -def -advanceNode - - - -Semantics.CacheSieve->Semantics.CacheSieve.advanceNode - - -contains - - - -Semantics.CacheSieve.triageSurvivorValue - -def -triageSurvivorValue - - - -Semantics.CacheSieve->Semantics.CacheSieve.triageSurvivorValue - - -contains - - - -Semantics.CacheSieve.sieveCost - -def -sieveCost - - - -Semantics.CacheSieve->Semantics.CacheSieve.sieveCost - - -contains - - - -Semantics.CacheSieve.sieveInvariant - -def -sieveInvariant - - - -Semantics.CacheSieve->Semantics.CacheSieve.sieveInvariant - - -contains - - - -Semantics.CacheSieve.sieveBind - -def -sieveBind - - - -Semantics.CacheSieve->Semantics.CacheSieve.sieveBind - - -contains - - - -Semantics.CalibratedKernel - -module -CalibratedKernel - - - -Semantics.CalibratedKernel.calibratedRejectionStructure - -theorem -calibratedRejectionStructure - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.calibratedRejectionStructure - - -contains - - - -Semantics.CalibratedKernel.defaultKnobs - -def -defaultKnobs - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.defaultKnobs - - -contains - - - -Semantics.CalibratedKernel.calibrate - -def -calibrate - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.calibrate - - -contains - - - -Semantics.CalibratedKernel.sigOfPayload - -def -sigOfPayload - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.sigOfPayload - - -contains - - - -Semantics.CalibratedKernel.rescaleCoupling - -def -rescaleCoupling - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.rescaleCoupling - - -contains - - - -Semantics.CalibratedKernel.scaledCoupling - -def -scaledCoupling - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.scaledCoupling - - -contains - - - -Semantics.CalibratedKernel.finalScoreCalibrated - -def -finalScoreCalibrated - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.finalScoreCalibrated - - -contains - - - -Semantics.CalibratedKernel.bettiSwooshApprox - -def -bettiSwooshApprox - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.bettiSwooshApprox - - -contains - - - -Semantics.CalibratedKernel.stableDrivenScoreCalibrated - -def -stableDrivenScoreCalibrated - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.stableDrivenScoreCalibrated - - -contains - - - -Semantics.CalibratedKernel.routeStableCalibrated - -def -routeStableCalibrated - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.routeStableCalibrated - - -contains - - - -Semantics.CalibratedKernel.allowTunnelCalibrated - -def -allowTunnelCalibrated - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.allowTunnelCalibrated - - -contains - - - -Semantics.CalibratedKernel.shouldPromoteCalibrated - -def -shouldPromoteCalibrated - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.shouldPromoteCalibrated - - -contains - - - -Semantics.CalibratedKernel.budgetCalibratedStep - -def -budgetCalibratedStep - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.budgetCalibratedStep - - -contains - - - -Semantics.CalibratedKernel.budgetCalibrated - -def -budgetCalibrated - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.budgetCalibrated - - -contains - - - -Semantics.CalibratedKernel.stabilizePayloadsCalibrated - -def -stabilizePayloadsCalibrated - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.stabilizePayloadsCalibrated - - -contains - - - -Semantics.CalibratedKernel.chooseBestCalibrated - -def -chooseBestCalibrated - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.chooseBestCalibrated - - -contains - - - -Semantics.CalibratedKernel.stepKernelCalibrated - -def -stepKernelCalibrated - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.stepKernelCalibrated - - -contains - - - -Semantics.CalibratedKernel.CalibratedTrace - -def -CalibratedTrace - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.CalibratedTrace - - -contains - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.CalibratedTrace - - -contains - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.CalibratedTrace - - -contains - - - -Semantics.CalibratedKernel->Semantics.CalibratedKernel.CalibratedTrace - - -contains - - - -Semantics.CandidateDictionary - -module -CandidateDictionary - - - -Semantics.CandidateDictionary.example_entry_declared - -theorem -example_entry_declared - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.example_entry_declared - - -contains - - - -Semantics.CandidateDictionary.empty_payload_entry_not_declared - -theorem -empty_payload_entry_not_declared - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.empty_payload_entry_not_declared - - -contains - - - -Semantics.CandidateDictionary.example_dictionary_entries_declared - -theorem -example_dictionary_entries_declared - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.example_dictionary_entries_declared - - -contains - - - -Semantics.CandidateDictionary.select_gamma_replays_single_entry - -theorem -select_gamma_replays_single_entry - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.select_gamma_replays_single_entry - - -contains - - - -Semantics.CandidateDictionary.select_pair_replays_two_entries - -theorem -select_pair_replays_two_entries - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.select_pair_replays_two_entries - - -contains - - - -Semantics.CandidateDictionary.out_of_bounds_select_replays_none - -theorem -out_of_bounds_select_replays_none - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.out_of_bounds_select_replays_none - - -contains - - - -Semantics.CandidateDictionary.literal_token_is_not_dictionary_select - -theorem -literal_token_is_not_dictionary_select - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.literal_token_is_not_dictionary_select - - -contains - - - -Semantics.CandidateDictionary.example_commit_verified - -theorem -example_commit_verified - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.example_commit_verified - - -contains - - - -Semantics.CandidateDictionary.bad_count_commit_not_verified - -theorem -bad_count_commit_not_verified - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.bad_count_commit_not_verified - - -contains - - - -Semantics.CandidateDictionary.bad_entry_commit_not_verified - -theorem -bad_entry_commit_not_verified - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.bad_entry_commit_not_verified - - -contains - - - -Semantics.CandidateDictionary.verified_commit_implies_verified_gccl_rep - -theorem -verified_commit_implies_verified_gccl_re - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.verified_commit_implies_verified_gccl_rep - - -contains - - - -Semantics.CandidateDictionary.replay_some_implies_candidate_ref_admissible - -theorem -replay_some_implies_candidate_ref_admiss - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.replay_some_implies_candidate_ref_admissible - - -contains - - - -Semantics.CandidateDictionary.candidate_ref_promotion_implies_commit_verified - -theorem -candidate_ref_promotion_implies_commit_v - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.candidate_ref_promotion_implies_commit_verified - - -contains - - - -Semantics.CandidateDictionary.candidate_ref_promotion_implies_lawful_transition - -theorem -candidate_ref_promotion_implies_lawful_t - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.candidate_ref_promotion_implies_lawful_transition - - -contains - - - -Semantics.CandidateDictionary.candidateEntryDeclared - -def -candidateEntryDeclared - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.candidateEntryDeclared - - -contains - - - -Semantics.CandidateDictionary.candidateDictEntriesDeclared - -def -candidateDictEntriesDeclared - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.candidateDictEntriesDeclared - - -contains - - - -Semantics.CandidateDictionary.candidateDictSize - -def -candidateDictSize - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.candidateDictSize - - -contains - - - -Semantics.CandidateDictionary.candidateRangeInBounds - -def -candidateRangeInBounds - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.candidateRangeInBounds - - -contains - - - -Semantics.CandidateDictionary.candidateRefAdmissible - -def -candidateRefAdmissible - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.candidateRefAdmissible - - -contains - - - -Semantics.CandidateDictionary.replayCandidateRef - -def -replayCandidateRef - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.replayCandidateRef - - -contains - - - -Semantics.CandidateDictionary.candidateDictCommitVerified - -def -candidateDictCommitVerified - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.candidateDictCommitVerified - - -contains - - - -Semantics.CandidateDictionary.toGcclRepEvent - -def -toGcclRepEvent - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.toGcclRepEvent - - -contains - - - -Semantics.CandidateDictionary.candidateRefPromotable - -def -candidateRefPromotable - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.candidateRefPromotable - - -contains - - - -Semantics.CandidateDictionary.gammaEntry - -def -gammaEntry - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.gammaEntry - - -contains - - - -Semantics.CandidateDictionary.betaEntry - -def -betaEntry - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.betaEntry - - -contains - - - -Semantics.CandidateDictionary.emptyPayloadEntry - -def -emptyPayloadEntry - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.emptyPayloadEntry - - -contains - - - -Semantics.CandidateDictionary.exampleDict - -def -exampleDict - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.exampleDict - - -contains - - - -Semantics.CandidateDictionary.exampleSelectGamma - -def -exampleSelectGamma - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.exampleSelectGamma - - -contains - - - -Semantics.CandidateDictionary.exampleSelectPair - -def -exampleSelectPair - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.exampleSelectPair - - -contains - - - -Semantics.CandidateDictionary.outOfBoundsSelect - -def -outOfBoundsSelect - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.outOfBoundsSelect - - -contains - - - -Semantics.CandidateDictionary.literalNotDictionarySelect - -def -literalNotDictionarySelect - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.literalNotDictionarySelect - - -contains - - - -Semantics.CandidateDictionary.exampleCommit - -def -exampleCommit - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.exampleCommit - - -contains - - - -Semantics.CandidateDictionary.badCountCommit - -def -badCountCommit - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.badCountCommit - - -contains - - - -Semantics.CandidateDictionary.badEntryCommit - -def -badEntryCommit - - - -Semantics.CandidateDictionary->Semantics.CandidateDictionary.badEntryCommit - - -contains - - - -Semantics.GCCL - -module -GCCL - - - -Semantics.CandidateDictionary->Semantics.GCCL - - -imports - - - -Semantics.Canon - -module -Canon - - - -Semantics.Canon.defaultIsStable - -theorem -defaultIsStable - - - -Semantics.Canon->Semantics.Canon.defaultIsStable - - -contains - - - -Semantics.Canon.default - -def -default - - - -Semantics.Canon->Semantics.Canon.default - - -contains - - - -Semantics.Canon.computeConfidence - -def -computeConfidence - - - -Semantics.Canon->Semantics.Canon.computeConfidence - - -contains - - - -Semantics.Canon.mk - -def -mk - - - -Semantics.Canon->Semantics.Canon.mk - - -contains - - - -Semantics.Canon.toPbacsProjections - -def -toPbacsProjections - - - -Semantics.Canon->Semantics.Canon.toPbacsProjections - - -contains - - - -Semantics.Canon.toPbacsProjectionsList - -def -toPbacsProjectionsList - - - -Semantics.Canon->Semantics.Canon.toPbacsProjectionsList - - -contains - - - -Semantics.Canon.toRegimeTrackerObservables - -def -toRegimeTrackerObservables - - - -Semantics.Canon->Semantics.Canon.toRegimeTrackerObservables - - -contains - - - -Semantics.Canon.toGeometryFeatures - -def -toGeometryFeatures - - - -Semantics.Canon->Semantics.Canon.toGeometryFeatures - - -contains - - - -Semantics.Canon.fromPbacsProjections - -def -fromPbacsProjections - - - -Semantics.Canon->Semantics.Canon.fromPbacsProjections - - -contains - - - -Semantics.Canon.fromGeometryFeatures - -def -fromGeometryFeatures - - - -Semantics.Canon->Semantics.Canon.fromGeometryFeatures - - -contains - - - -Semantics.Canon.isStable - -def -isStable - - - -Semantics.Canon->Semantics.Canon.isStable - - -contains - - - -Semantics.Canon.isCritical - -def -isCritical - - - -Semantics.Canon->Semantics.Canon.isCritical - - -contains - - - -Semantics.Canon->Semantics.FixedPoint - - -imports - - - -Semantics.CanonAdapters - -module -CanonAdapters - - - -Semantics.CanonAdapters.emptyCanonicalVectorWidth - -theorem -emptyCanonicalVectorWidth - - - -Semantics.CanonAdapters->Semantics.CanonAdapters.emptyCanonicalVectorWidth - - -contains - - - -Semantics.CanonAdapters.defaultCanonicalPackLength - -theorem -defaultCanonicalPackLength - - - -Semantics.CanonAdapters->Semantics.CanonAdapters.defaultCanonicalPackLength - - -contains - - - -Semantics.CanonAdapters.minmaxNormalizationHitsZero - -theorem -minmaxNormalizationHitsZero - - - -Semantics.CanonAdapters->Semantics.CanonAdapters.minmaxNormalizationHitsZero - - -contains - - - -Semantics.CanonAdapters.CanonicalDimension - -def -CanonicalDimension - - - -Semantics.CanonAdapters->Semantics.CanonAdapters.CanonicalDimension - - -contains - - - -Semantics.CanonAdapters.CanonicalVectorSpec - -def -CanonicalVectorSpec - - - -Semantics.CanonAdapters->Semantics.CanonAdapters.CanonicalVectorSpec - - -contains - - - -Semantics.CanonAdapters.clampQ16 - -def -clampQ16 - - - -Semantics.CanonAdapters->Semantics.CanonAdapters.clampQ16 - - -contains - - - -Semantics.CanonAdapters.normalizeFeatureValue - -def -normalizeFeatureValue - - - -Semantics.CanonAdapters->Semantics.CanonAdapters.normalizeFeatureValue - - -contains - - - -Semantics.CanonAdapters->Semantics.FixedPoint - - -imports - - - -Semantics.CanonSerialization - -module -CanonSerialization - - - -Semantics.CanonSerialization.q16_16_field_kind_core_safe - -theorem -q16_16_field_kind_core_safe - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.q16_16_field_kind_core_safe - - -contains - - - -Semantics.CanonSerialization.canonicalEndian - -def -canonicalEndian - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.canonicalEndian - - -contains - - - -Semantics.CanonSerialization.canonicalBitOrder - -def -canonicalBitOrder - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.canonicalBitOrder - - -contains - - - -Semantics.CanonSerialization.pushByte - -def -pushByte - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.pushByte - - -contains - - - -Semantics.CanonSerialization.encodeU16BE - -def -encodeU16BE - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.encodeU16BE - - -contains - - - -Semantics.CanonSerialization.encodeU32BE - -def -encodeU32BE - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.encodeU32BE - - -contains - - - -Semantics.CanonSerialization.encodeU64BE - -def -encodeU64BE - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.encodeU64BE - - -contains - - - -Semantics.CanonSerialization.encodeNatBE - -def -encodeNatBE - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.encodeNatBE - - -contains - - - -Semantics.CanonSerialization.encodeText - -def -encodeText - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.encodeText - - -contains - - - -Semantics.CanonSerialization.fieldKindTag - -def -fieldKindTag - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.fieldKindTag - - -contains - - - -Semantics.CanonSerialization.intFitsSigned - -def -intFitsSigned - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.intFitsSigned - - -contains - - - -Semantics.CanonSerialization.serializeCanonicalValue - -def -serializeCanonicalValue - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.serializeCanonicalValue - - -contains - - - -Semantics.CanonSerialization.serializeCanonicalField - -def -serializeCanonicalField - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.serializeCanonicalField - - -contains - - - -Semantics.CanonSerialization.serializeCanonicalBinaryForm - -def -serializeCanonicalBinaryForm - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.serializeCanonicalBinaryForm - - -contains - - - -Semantics.CanonSerialization.fieldKindCoreSafe - -def -fieldKindCoreSafe - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.fieldKindCoreSafe - - -contains - - - -Semantics.CanonSerialization.uniqueFieldNames - -def -uniqueFieldNames - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.uniqueFieldNames - - -contains - - - -Semantics.CanonSerialization.RecordSchema - -def -RecordSchema - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.RecordSchema - - -contains - - - -Semantics.CanonSerialization.SameIdentity - -def -SameIdentity - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.SameIdentity - - -contains - - - -Semantics.CanonSerialization.IsCanonical - -def -IsCanonical - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.IsCanonical - - -contains - - - -Semantics.CanonSerialization.applyFilters - -def -applyFilters - - - -Semantics.CanonSerialization->Semantics.CanonSerialization.applyFilters - - -contains - - - -Semantics.CanonSerialization->Semantics.FixedPoint - - -imports - - - -Semantics.CanonicalInterval - -module -CanonicalInterval - - - -Semantics.CanonicalInterval.canonicalIntervalInvariant - -def -canonicalIntervalInvariant - - - -Semantics.CanonicalInterval->Semantics.CanonicalInterval.canonicalIntervalInvariant - - -contains - - - -Semantics.CausalGeometry - -module -CausalGeometry - - - -Semantics.CausalGeometry.nodeCoherenceOf - -def -nodeCoherenceOf - - - -Semantics.CausalGeometry->Semantics.CausalGeometry.nodeCoherenceOf - - -contains - - - -Semantics.CausalGeometry.classifyCausalCurvature - -def -classifyCausalCurvature - - - -Semantics.CausalGeometry->Semantics.CausalGeometry.classifyCausalCurvature - - -contains - - - -Semantics.CausalGeometry.causalSignatureOf - -def -causalSignatureOf - - - -Semantics.CausalGeometry->Semantics.CausalGeometry.causalSignatureOf - - -contains - - - -Semantics.CausalGeometry.mergeLayers - -def -mergeLayers - - - -Semantics.CausalGeometry->Semantics.CausalGeometry.mergeLayers - - -contains - - - -Semantics.CausalGeometry.processCausalTransition - -def -processCausalTransition - - - -Semantics.CausalGeometry->Semantics.CausalGeometry.processCausalTransition - - -contains - - - -Semantics.CausalGeometry->Semantics.PhysicsScalarBridge - - -imports - - - -Semantics.CellSnowballConstraint - -module -CellSnowballConstraint - - - -Semantics.CellSnowballConstraint.snowballGrowthRespectsDiffusionLimit - -theorem -snowballGrowthRespectsDiffusionLimit - - - -Semantics.CellSnowballConstraint->Semantics.CellSnowballConstraint.snowballGrowthRespectsDiffusionLimit - - -contains - - - -Semantics.CellSnowballConstraint.ecmSupportExtendsSafeWindow - -theorem -ecmSupportExtendsSafeWindow - - - -Semantics.CellSnowballConstraint->Semantics.CellSnowballConstraint.ecmSupportExtendsSafeWindow - - -contains - - - -Semantics.CellSnowballConstraint.snowballPreservesManifoldConnectivity - -theorem -snowballPreservesManifoldConnectivity - - - -Semantics.CellSnowballConstraint->Semantics.CellSnowballConstraint.snowballPreservesManifoldConnectivity - - -contains - - - -Semantics.CellSnowballConstraint.diffusionLimitRadius - -def -diffusionLimitRadius - - - -Semantics.CellSnowballConstraint->Semantics.CellSnowballConstraint.diffusionLimitRadius - - -contains - - - -Semantics.CellSnowballConstraint.vascularizationThreshold - -def -vascularizationThreshold - - - -Semantics.CellSnowballConstraint->Semantics.CellSnowballConstraint.vascularizationThreshold - - -contains - - - -Semantics.CellSnowballConstraint.ecmFormationTime - -def -ecmFormationTime - - - -Semantics.CellSnowballConstraint->Semantics.CellSnowballConstraint.ecmFormationTime - - -contains - - - -Semantics.CellSnowballConstraint.snowballGrowthRate - -def -snowballGrowthRate - - - -Semantics.CellSnowballConstraint->Semantics.CellSnowballConstraint.snowballGrowthRate - - -contains - - - -Semantics.CellSnowballConstraint.safeCompressionWindowSeconds - -def -safeCompressionWindowSeconds - - - -Semantics.CellSnowballConstraint->Semantics.CellSnowballConstraint.safeCompressionWindowSeconds - - -contains - - - -Semantics.CellSnowballConstraint.snowballPhaseDuration - -def -snowballPhaseDuration - - - -Semantics.CellSnowballConstraint->Semantics.CellSnowballConstraint.snowballPhaseDuration - - -contains - - - -Semantics.CellSnowballConstraint.computeAdaptationVerdict - -def -computeAdaptationVerdict - - - -Semantics.CellSnowballConstraint->Semantics.CellSnowballConstraint.computeAdaptationVerdict - - -contains - - - -Semantics.CellSnowballConstraint->Semantics.FixedPoint - - -imports - - - -Semantics.ChatLogConversion - -module -ChatLogConversion - - - -Semantics.ChatLogConversion.parseMarkdownChatLog - -def -parseMarkdownChatLog - - - -Semantics.ChatLogConversion->Semantics.ChatLogConversion.parseMarkdownChatLog - - -contains - - - -Semantics.ChatLogConversion.computeSHA256 - -def -computeSHA256 - - - -Semantics.ChatLogConversion->Semantics.ChatLogConversion.computeSHA256 - - -contains - - - -Semantics.ChatLogConversion.extractText - -def -extractText - - - -Semantics.ChatLogConversion->Semantics.ChatLogConversion.extractText - - -contains - - - -Semantics.ChatLogConversion.computeConceptVector - -def -computeConceptVector - - - -Semantics.ChatLogConversion->Semantics.ChatLogConversion.computeConceptVector - - -contains - - - -Semantics.ChatLogConversion.extractEntities - -def -extractEntities - - - -Semantics.ChatLogConversion->Semantics.ChatLogConversion.extractEntities - - -contains - - - -Semantics.ChatLogConversion.classifyTopics - -def -classifyTopics - - - -Semantics.ChatLogConversion->Semantics.ChatLogConversion.classifyTopics - - -contains - - - -Semantics.ChatLogConversion.generateArchiveId - -def -generateArchiveId - - - -Semantics.ChatLogConversion->Semantics.ChatLogConversion.generateArchiveId - - -contains - - - -Semantics.ChatLogConversion.chatLogConversionBind - -def -chatLogConversionBind - - - -Semantics.ChatLogConversion->Semantics.ChatLogConversion.chatLogConversionBind - - -contains - - - -Semantics.ChentsovBridge - -module -ChentsovBridge - - - -Semantics.ChentsovBridge.fisher_quadratic_form_eq - -theorem -fisher_quadratic_form_eq - - - -Semantics.ChentsovBridge->Semantics.ChentsovBridge.fisher_quadratic_form_eq - - -contains - - - -Semantics.ChentsovBridge.sim_metric_field_is_monotone - -theorem -sim_metric_field_is_monotone - - - -Semantics.ChentsovBridge->Semantics.ChentsovBridge.sim_metric_field_is_monotone - - -contains - - - -Semantics.ChentsovBridge.sim_metric_equals_fisher_when_torsion_free - -theorem -sim_metric_equals_fisher_when_torsion_fr - - - -Semantics.ChentsovBridge->Semantics.ChentsovBridge.sim_metric_equals_fisher_when_torsion_free - - -contains - - - -Semantics.ChentsovBridge.canonical_normalization - -theorem -canonical_normalization - - - -Semantics.ChentsovBridge->Semantics.ChentsovBridge.canonical_normalization - - -contains - - - -Semantics.ChentsovBridge.quadraticForm - -def -quadraticForm - - - -Semantics.ChentsovBridge->Semantics.ChentsovBridge.quadraticForm - - -contains - - - -Semantics.ChentsovBridge.fisherQuadraticForm - -def -fisherQuadraticForm - - - -Semantics.ChentsovBridge->Semantics.ChentsovBridge.fisherQuadraticForm - - -contains - - - -Semantics.ChentsovBridge.applyMarkov - -def -applyMarkov - - - -Semantics.ChentsovBridge->Semantics.ChentsovBridge.applyMarkov - - -contains - - - -Semantics.ChentsovBridge.mergeTwo - -def -mergeTwo - - - -Semantics.ChentsovBridge->Semantics.ChentsovBridge.mergeTwo - - -contains - - - -Semantics.ChentsovBridge.fisherMetricField - -def -fisherMetricField - - - -Semantics.ChentsovBridge->Semantics.ChentsovBridge.fisherMetricField - - -contains - - - -Semantics.ChentsovBridge.simMetricField - -def -simMetricField - - - -Semantics.ChentsovBridge->Semantics.ChentsovBridge.simMetricField - - -contains - - - -Semantics.ChentsovBridge.simQuadraticForm - -def -simQuadraticForm - - - -Semantics.ChentsovBridge->Semantics.ChentsovBridge.simQuadraticForm - - -contains - - - -Semantics.ChentsovBridge.isTorsionFree - -def -isTorsionFree - - - -Semantics.ChentsovBridge->Semantics.ChentsovBridge.isTorsionFree - - -contains - - - -Semantics.ClassicalEuclideanGeometry - -module -ClassicalEuclideanGeometry - - - -Semantics.CodonOTOM - -module -CodonOTOM - - - -Semantics.CodonOTOM->Mathlib.Data.Real.Basic - - -imports - - - -Semantics.CodonOTOM.mutation_improves - -theorem -mutation_improves - - - -Semantics.CodonOTOM->Semantics.CodonOTOM.mutation_improves - - -contains - - - -Semantics.CodonOTOM.phiCodon_bounded - -theorem -phiCodon_bounded - - - -Semantics.CodonOTOM->Semantics.CodonOTOM.phiCodon_bounded - - -contains - - - -Semantics.CodonOTOM.phiCodon_pos_of_numerator_pos - -theorem -phiCodon_pos_of_numerator_pos - - - -Semantics.CodonOTOM->Semantics.CodonOTOM.phiCodon_pos_of_numerator_pos - - -contains - - - -Semantics.CodonOTOM.deltaPhi_zero_of_unchanged - -theorem -deltaPhi_zero_of_unchanged - - - -Semantics.CodonOTOM->Semantics.CodonOTOM.deltaPhi_zero_of_unchanged - - -contains - - - -Semantics.CodonOTOM.beneficialMutation_implies_increase - -theorem -beneficialMutation_implies_increase - - - -Semantics.CodonOTOM->Semantics.CodonOTOM.beneficialMutation_implies_increase - - -contains - - - -Semantics.CodonOTOM.phiCodon_universal_efficiency_instantiation - -theorem -phiCodon_universal_efficiency_instantiat - - - -Semantics.CodonOTOM->Semantics.CodonOTOM.phiCodon_universal_efficiency_instantiation - - -contains - - - -Semantics.CodonOTOM.baseCode - -def -baseCode - - - -Semantics.CodonOTOM->Semantics.CodonOTOM.baseCode - - -contains - - - -Semantics.CodonOTOM.translate - -def -translate - - - -Semantics.CodonOTOM->Semantics.CodonOTOM.translate - - -contains - - - -Semantics.CodonOTOM.degeneracy - -def -degeneracy - - - -Semantics.CodonOTOM->Semantics.CodonOTOM.degeneracy - - -contains - - - -Semantics.CodonOTOM.beneficialMutation - -def -beneficialMutation - - - -Semantics.CodonOTOM->Semantics.CodonOTOM.beneficialMutation - - -contains - - - -Semantics.CodonOTOM.denomSafe - -def -denomSafe - - - -Semantics.CodonOTOM->Semantics.CodonOTOM.denomSafe - - -contains - - - -Semantics.CodonPeptideConsistency - -module -CodonPeptideConsistency - - - -Semantics.CodonPeptideConsistency->Mathlib.Data.Real.Basic - - -imports - - - -Semantics.CodonPeptideConsistency.gateWeight_zero_folding - -theorem -gateWeight_zero_folding - - - -Semantics.CodonPeptideConsistency->Semantics.CodonPeptideConsistency.gateWeight_zero_folding - - -contains - - - -Semantics.CodonPeptideConsistency.gateWeight_zero_bias - -theorem -gateWeight_zero_bias - - - -Semantics.CodonPeptideConsistency->Semantics.CodonPeptideConsistency.gateWeight_zero_bias - - -contains - - - -Semantics.CodonPeptideConsistency.phiCDS_zero_peptide_weight - -theorem -phiCDS_zero_peptide_weight - - - -Semantics.CodonPeptideConsistency->Semantics.CodonPeptideConsistency.phiCDS_zero_peptide_weight - - -contains - - - -Semantics.CodonPeptideConsistency.phiCDS_zero_codon_weight - -theorem -phiCDS_zero_codon_weight - - - -Semantics.CodonPeptideConsistency->Semantics.CodonPeptideConsistency.phiCDS_zero_codon_weight - - -contains - - - -Semantics.CodonPeptideConsistency.cotranslationalWindow_is_prefix - -theorem -cotranslationalWindow_is_prefix - - - -Semantics.CodonPeptideConsistency->Semantics.CodonPeptideConsistency.cotranslationalWindow_is_prefix - - -contains - - - -Semantics.CodonPeptideConsistency.cotranslationalWindow_empty - -theorem -cotranslationalWindow_empty - - - -Semantics.CodonPeptideConsistency->Semantics.CodonPeptideConsistency.cotranslationalWindow_empty - - -contains - - - -Semantics.CodonPeptideConsistency.cotranslationalWindow_full - -theorem -cotranslationalWindow_full - - - -Semantics.CodonPeptideConsistency->Semantics.CodonPeptideConsistency.cotranslationalWindow_full - - -contains - - - -Semantics.CodonPeptideConsistency.phiCDS_bounded - -theorem -phiCDS_bounded - - - -Semantics.CodonPeptideConsistency->Semantics.CodonPeptideConsistency.phiCDS_bounded - - -contains - - - -Semantics.CodonPeptideConsistency.aaToPeptideClass - -def -aaToPeptideClass - - - -Semantics.CodonPeptideConsistency->Semantics.CodonPeptideConsistency.aaToPeptideClass - - -contains - - - -Semantics.CodonPeptideConsistency.synonymous - -def -synonymous - - - -Semantics.CodonPeptideConsistency->Semantics.CodonPeptideConsistency.synonymous - - -contains - - - -Semantics.CodonPeptideConsistency.pointMutate - -def -pointMutate - - - -Semantics.CodonPeptideConsistency->Semantics.CodonPeptideConsistency.pointMutate - - -contains - - - -Semantics.CodonPeptideConsistency.beneficialAtCodon - -def -beneficialAtCodon - - - -Semantics.CodonPeptideConsistency->Semantics.CodonPeptideConsistency.beneficialAtCodon - - -contains - - - -Semantics.CodonPeptideConsistency.beneficialAtCDS - -def -beneficialAtCDS - - - -Semantics.CodonPeptideConsistency->Semantics.CodonPeptideConsistency.beneficialAtCDS - - -contains - - - -Semantics.CognitiveLoad - -module -CognitiveLoad - - - -Semantics.CognitiveLoad.epsilon - -def -epsilon - - - -Semantics.CognitiveLoad->Semantics.CognitiveLoad.epsilon - - -contains - - - -Semantics.CognitiveLoad.intrinsicLoad - -def -intrinsicLoad - - - -Semantics.CognitiveLoad->Semantics.CognitiveLoad.intrinsicLoad - - -contains - - - -Semantics.CognitiveLoad.extraneousLoad - -def -extraneousLoad - - - -Semantics.CognitiveLoad->Semantics.CognitiveLoad.extraneousLoad - - -contains - - - -Semantics.CognitiveLoad.germaneLoad - -def -germaneLoad - - - -Semantics.CognitiveLoad->Semantics.CognitiveLoad.germaneLoad - - -contains - - - -Semantics.CognitiveLoad.routingLoad - -def -routingLoad - - - -Semantics.CognitiveLoad->Semantics.CognitiveLoad.routingLoad - - -contains - - - -Semantics.CognitiveLoad.memoryLoad - -def -memoryLoad - - - -Semantics.CognitiveLoad->Semantics.CognitiveLoad.memoryLoad - - -contains - - - -Semantics.CognitiveLoad.totalLoad - -def -totalLoad - - - -Semantics.CognitiveLoad->Semantics.CognitiveLoad.totalLoad - - -contains - - - -Semantics.CognitiveLoad.cognitiveEfficiency - -def -cognitiveEfficiency - - - -Semantics.CognitiveLoad->Semantics.CognitiveLoad.cognitiveEfficiency - - -contains - - - -Semantics.CognitiveLoad.regretAdjustedLoad - -def -regretAdjustedLoad - - - -Semantics.CognitiveLoad->Semantics.CognitiveLoad.regretAdjustedLoad - - -contains - - - -Semantics.CognitiveLoad.basinConditionalLoad - -def -basinConditionalLoad - - - -Semantics.CognitiveLoad->Semantics.CognitiveLoad.basinConditionalLoad - - -contains - - - -Semantics.CognitiveLoad.moePredictorDistribution - -def -moePredictorDistribution - - - -Semantics.CognitiveLoad->Semantics.CognitiveLoad.moePredictorDistribution - - -contains - - - -Semantics.CognitiveLoad.loadInvariant - -def -loadInvariant - - - -Semantics.CognitiveLoad->Semantics.CognitiveLoad.loadInvariant - - -contains - - - -Semantics.CognitiveLoad.loadDeltaCost - -def -loadDeltaCost - - - -Semantics.CognitiveLoad->Semantics.CognitiveLoad.loadDeltaCost - - -contains - - - -Semantics.CognitiveLoad.cognitiveLoadBind - -def -cognitiveLoadBind - - - -Semantics.CognitiveLoad->Semantics.CognitiveLoad.cognitiveLoadBind - - -contains - - - -Semantics.CognitiveLoadInvariantEnhanced - -module -CognitiveLoadInvariantEnhanced - - - -Semantics.CognitiveLoadInvariantEnhanced.invariantPreservationLoad - -def -invariantPreservationLoad - - - -Semantics.CognitiveLoadInvariantEnhanced->Semantics.CognitiveLoadInvariantEnhanced.invariantPreservationLoad - - -contains - - - -Semantics.CognitiveLoadInvariantEnhanced.criticalInvariantBroken - -def -criticalInvariantBroken - - - -Semantics.CognitiveLoadInvariantEnhanced->Semantics.CognitiveLoadInvariantEnhanced.criticalInvariantBroken - - -contains - - - -Semantics.CognitiveLoadInvariantEnhanced.trajectoryQuality - -def -trajectoryQuality - - - -Semantics.CognitiveLoadInvariantEnhanced->Semantics.CognitiveLoadInvariantEnhanced.trajectoryQuality - - -contains - - - -Semantics.CognitiveLoadInvariantEnhanced.convergenceInhibition - -def -convergenceInhibition - - - -Semantics.CognitiveLoadInvariantEnhanced->Semantics.CognitiveLoadInvariantEnhanced.convergenceInhibition - - -contains - - - -Semantics.CognitiveLoadInvariantEnhanced.enhancedTotalLoad - -def -enhancedTotalLoad - - - -Semantics.CognitiveLoadInvariantEnhanced->Semantics.CognitiveLoadInvariantEnhanced.enhancedTotalLoad - - -contains - - - -Semantics.CognitiveLoadInvariantEnhanced.invariantAwareEfficiency - -def -invariantAwareEfficiency - - - -Semantics.CognitiveLoadInvariantEnhanced->Semantics.CognitiveLoadInvariantEnhanced.invariantAwareEfficiency - - -contains - - - -Semantics.CognitiveLoadInvariantEnhanced.enhancedLoadDeltaCost - -def -enhancedLoadDeltaCost - - - -Semantics.CognitiveLoadInvariantEnhanced->Semantics.CognitiveLoadInvariantEnhanced.enhancedLoadDeltaCost - - -contains - - - -Semantics.CognitiveLoadInvariantEnhanced.enhancedLoadInvariant - -def -enhancedLoadInvariant - - - -Semantics.CognitiveLoadInvariantEnhanced->Semantics.CognitiveLoadInvariantEnhanced.enhancedLoadInvariant - - -contains - - - -Semantics.CognitiveLoadInvariantEnhanced.enhancedCognitiveLoadBind - -def -enhancedCognitiveLoadBind - - - -Semantics.CognitiveLoadInvariantEnhanced->Semantics.CognitiveLoadInvariantEnhanced.enhancedCognitiveLoadBind - - -contains - - - -Semantics.CognitiveMorphemics - -module -CognitiveMorphemics - - - -Semantics.CognitiveMorphemics.action_preserves_classical_purity - -theorem -action_preserves_classical_purity - - - -Semantics.CognitiveMorphemics->Semantics.CognitiveMorphemics.action_preserves_classical_purity - - -contains - - - -Semantics.CognitiveMorphemics.morphemeToQuaternion - -def -morphemeToQuaternion - - - -Semantics.CognitiveMorphemics->Semantics.CognitiveMorphemics.morphemeToQuaternion - - -contains - - - -Semantics.CognitiveMorphemics.CognitiveState_initial - -def -CognitiveState_initial - - - -Semantics.CognitiveMorphemics->Semantics.CognitiveMorphemics.CognitiveState_initial - - -contains - - - -Semantics.CognitiveMorphemics.CognitiveState_transition - -def -CognitiveState_transition - - - -Semantics.CognitiveMorphemics->Semantics.CognitiveMorphemics.CognitiveState_transition - - -contains - - - -Semantics.CognitiveMorphemics.trajectoryQuality - -def -trajectoryQuality - - - -Semantics.CognitiveMorphemics->Semantics.CognitiveMorphemics.trajectoryQuality - - -contains - - - -Semantics.CognitiveMorphemics->Semantics.Quaternion - - -imports - - - -Semantics.ColeHopfTransform - -module -ColeHopfTransform - - - -Semantics.ColeHopfTransform.forwardDiff - -def -forwardDiff - - - -Semantics.ColeHopfTransform->Semantics.ColeHopfTransform.forwardDiff - - -contains - - - -Semantics.ColeHopfTransform.centralDiff - -def -centralDiff - - - -Semantics.ColeHopfTransform->Semantics.ColeHopfTransform.centralDiff - - -contains - - - -Semantics.ColeHopfTransform.secondDiff - -def -secondDiff - - - -Semantics.ColeHopfTransform->Semantics.ColeHopfTransform.secondDiff - - -contains - - - -Semantics.ColeHopfTransform.heatRHS - -def -heatRHS - - - -Semantics.ColeHopfTransform->Semantics.ColeHopfTransform.heatRHS - - -contains - - - -Semantics.ColeHopfTransform.stepHeatEuler - -def -stepHeatEuler - - - -Semantics.ColeHopfTransform->Semantics.ColeHopfTransform.stepHeatEuler - - -contains - - - -Semantics.ColeHopfTransform.coleHopfForward - -def -coleHopfForward - - - -Semantics.ColeHopfTransform->Semantics.ColeHopfTransform.coleHopfForward - - -contains - - - -Semantics.ColeHopfTransform.toBurgersState - -def -toBurgersState - - - -Semantics.ColeHopfTransform->Semantics.ColeHopfTransform.toBurgersState - - -contains - - - -Semantics.ColeHopfTransform.expApprox - -def -expApprox - - - -Semantics.ColeHopfTransform->Semantics.ColeHopfTransform.expApprox - - -contains - - - -Semantics.ColeHopfTransform.cumulativeIntegral - -def -cumulativeIntegral - - - -Semantics.ColeHopfTransform->Semantics.ColeHopfTransform.cumulativeIntegral - - -contains - - - -Semantics.ColeHopfTransform.inverseColeHopf - -def -inverseColeHopf - - - -Semantics.ColeHopfTransform->Semantics.ColeHopfTransform.inverseColeHopf - - -contains - - - -Semantics.ColeHopfTransform.testHeatState - -def -testHeatState - - - -Semantics.ColeHopfTransform->Semantics.ColeHopfTransform.testHeatState - - -contains - - - -Semantics.CollectiveManifoldInterface - -module -CollectiveManifoldInterface - - - -Semantics.CollectiveManifoldInterface.gossipMergePreservesSafety - -theorem -gossipMergePreservesSafety - - - -Semantics.CollectiveManifoldInterface->Semantics.CollectiveManifoldInterface.gossipMergePreservesSafety - - -contains - - - -Semantics.CollectiveManifoldInterface.collectiveOEPINonNegative - -theorem -collectiveOEPINonNegative - - - -Semantics.CollectiveManifoldInterface->Semantics.CollectiveManifoldInterface.collectiveOEPINonNegative - - -contains - - - -Semantics.CollectiveManifoldInterface.collectiveBindLawful - -theorem -collectiveBindLawful - - - -Semantics.CollectiveManifoldInterface->Semantics.CollectiveManifoldInterface.collectiveBindLawful - - -contains - - - -Semantics.CollectiveManifoldInterface.zero - -def -zero - - - -Semantics.CollectiveManifoldInterface->Semantics.CollectiveManifoldInterface.zero - - -contains - - - -Semantics.CollectiveManifoldInterface.one - -def -one - - - -Semantics.CollectiveManifoldInterface->Semantics.CollectiveManifoldInterface.one - - -contains - - - -Semantics.CollectiveManifoldInterface.ofFrac - -def -ofFrac - - - -Semantics.CollectiveManifoldInterface->Semantics.CollectiveManifoldInterface.ofFrac - - -contains - - - -Semantics.CollectiveManifoldInterface.computeCRC8 - -def -computeCRC8 - - - -Semantics.CollectiveManifoldInterface->Semantics.CollectiveManifoldInterface.computeCRC8 - - -contains - - - -Semantics.CollectiveManifoldInterface.validateFrame - -def -validateFrame - - - -Semantics.CollectiveManifoldInterface->Semantics.CollectiveManifoldInterface.validateFrame - - -contains - - - -Semantics.CollectiveManifoldInterface.initCollectiveState - -def -initCollectiveState - - - -Semantics.CollectiveManifoldInterface->Semantics.CollectiveManifoldInterface.initCollectiveState - - -contains - - - -Semantics.CollectiveManifoldInterface.gossipMerge - -def -gossipMerge - - - -Semantics.CollectiveManifoldInterface->Semantics.CollectiveManifoldInterface.gossipMerge - - -contains - - - -Semantics.CollectiveManifoldInterface.collectiveOEPIScore - -def -collectiveOEPIScore - - - -Semantics.CollectiveManifoldInterface->Semantics.CollectiveManifoldInterface.collectiveOEPIScore - - -contains - - - -Semantics.CollectiveManifoldInterface.collectiveManifoldBind - -def -collectiveManifoldBind - - - -Semantics.CollectiveManifoldInterface->Semantics.CollectiveManifoldInterface.collectiveManifoldBind - - -contains - - - -Semantics.CompileBridge - -module -CompileBridge - - - -Semantics.CompileBridge.batch - -theorem -batch - - - -Semantics.CompileBridge->Semantics.CompileBridge.batch - - -contains - - - -Semantics.CompileBridge.toKernelName - -def -toKernelName - - - -Semantics.CompileBridge->Semantics.CompileBridge.toKernelName - - -contains - - - -Semantics.CompileBridge.toDispatchIndex - -def -toDispatchIndex - - - -Semantics.CompileBridge->Semantics.CompileBridge.toDispatchIndex - - -contains - - - -Semantics.CompileBridge.count - -def -count - - - -Semantics.CompileBridge->Semantics.CompileBridge.count - - -contains - - - -Semantics.CompileBridge.resultIdsValid - -def -resultIdsValid - - - -Semantics.CompileBridge->Semantics.CompileBridge.resultIdsValid - - -contains - - - -Semantics.CompileBridge.resultCountsValid - -def -resultCountsValid - - - -Semantics.CompileBridge->Semantics.CompileBridge.resultCountsValid - - -contains - - - -Semantics.CompileBridge.totalCountMatches - -def -totalCountMatches - - - -Semantics.CompileBridge->Semantics.CompileBridge.totalCountMatches - - -contains - - - -Semantics.CompileBridge.invariantsHold - -def -invariantsHold - - - -Semantics.CompileBridge->Semantics.CompileBridge.invariantsHold - - -contains - - - -Semantics.CompileBridge.promoteToClaim - -def -promoteToClaim - - - -Semantics.CompileBridge->Semantics.CompileBridge.promoteToClaim - - -contains - - - -Semantics.CompileBridge.emptyReceipt - -def -emptyReceipt - - - -Semantics.CompileBridge->Semantics.CompileBridge.emptyReceipt - - -contains - - - -Semantics.CompleteInteractionGraph - -module -CompleteInteractionGraph - - - -Semantics.CompleteInteractionGraph.completeAdj_row_sum - -theorem -completeAdj_row_sum - - - -Semantics.CompleteInteractionGraph->Semantics.CompleteInteractionGraph.completeAdj_row_sum - - -contains - - - -Semantics.CompleteInteractionGraph.completeAdj_edge_count - -theorem -completeAdj_edge_count - - - -Semantics.CompleteInteractionGraph->Semantics.CompleteInteractionGraph.completeAdj_edge_count - - -contains - - - -Semantics.CompleteInteractionGraph.completeAdj_max_edges - -theorem -completeAdj_max_edges - - - -Semantics.CompleteInteractionGraph->Semantics.CompleteInteractionGraph.completeAdj_max_edges - - -contains - - - -Semantics.CompleteInteractionGraph.completeAdj_step_exists - -theorem -completeAdj_step_exists - - - -Semantics.CompleteInteractionGraph->Semantics.CompleteInteractionGraph.completeAdj_step_exists - - -contains - - - -Semantics.CompleteInteractionGraph.completeAdj_diameter_one - -theorem -completeAdj_diameter_one - - - -Semantics.CompleteInteractionGraph->Semantics.CompleteInteractionGraph.completeAdj_diameter_one - - -contains - - - -Semantics.CompleteInteractionGraph.completeAdj_not_sidon_witness - -theorem -completeAdj_not_sidon_witness - - - -Semantics.CompleteInteractionGraph->Semantics.CompleteInteractionGraph.completeAdj_not_sidon_witness - - -contains - - - -Semantics.CompleteInteractionGraph.completeAdj_contains_all - -theorem -completeAdj_contains_all - - - -Semantics.CompleteInteractionGraph->Semantics.CompleteInteractionGraph.completeAdj_contains_all - - -contains - - - -Semantics.CompleteInteractionGraph.walkMatrix_off_diag - -theorem -walkMatrix_off_diag - - - -Semantics.CompleteInteractionGraph->Semantics.CompleteInteractionGraph.walkMatrix_off_diag - - -contains - - - -Semantics.CompleteInteractionGraph.completeAdj - -def -completeAdj - - - -Semantics.CompleteInteractionGraph->Semantics.CompleteInteractionGraph.completeAdj - - -contains - - - -Semantics.CompleteInteractionGraph.K - -def -K - - - -Semantics.CompleteInteractionGraph->Semantics.CompleteInteractionGraph.K - - -contains - - - -Semantics.CompleteInteractionGraph.walkMatrix - -def -walkMatrix - - - -Semantics.CompleteInteractionGraph->Semantics.CompleteInteractionGraph.walkMatrix - - -contains - - - -Semantics.CompleteInteractionGraph.directedEdgeCount - -def -directedEdgeCount - - - -Semantics.CompleteInteractionGraph->Semantics.CompleteInteractionGraph.directedEdgeCount - - -contains - - - -Semantics.Components.Bind - -module -Bind - - - -Semantics.Components.Bind.coreBind - -def -coreBind - - - -Semantics.Components.Bind->Semantics.Components.Bind.coreBind - - -contains - - - -Semantics.Components.Bind.gradientOptimizedBind - -def -gradientOptimizedBind - - - -Semantics.Components.Bind->Semantics.Components.Bind.gradientOptimizedBind - - -contains - - - -Semantics.Components.Bind.quaternionOptimizedBind - -def -quaternionOptimizedBind - - - -Semantics.Components.Bind->Semantics.Components.Bind.quaternionOptimizedBind - - -contains - - - -Semantics.Components.Bind->Semantics.FixedPoint - - -imports - - - -Semantics.Components.Composition - -module -Composition - - - -Semantics.Components.Composition.mixComponents - -def -mixComponents - - - -Semantics.Components.Composition->Semantics.Components.Composition.mixComponents - - -contains - - - -Semantics.Components.Composition.createGradientBindMixer - -def -createGradientBindMixer - - - -Semantics.Components.Composition->Semantics.Components.Composition.createGradientBindMixer - - -contains - - - -Semantics.Components.Composition.createQuaternionBindMixer - -def -createQuaternionBindMixer - - - -Semantics.Components.Composition->Semantics.Components.Composition.createQuaternionBindMixer - - -contains - - - -Semantics.Components.Core - -module -Core - - - -Semantics.Components.Composition->Semantics.Components.Core - - -imports - - - -Semantics.Components.Core.MetricComponent - -def -MetricComponent - - - -Semantics.Components.Core->Semantics.Components.Core.MetricComponent - - -contains - - - -Semantics.Components.Core.WitnessComponent - -def -WitnessComponent - - - -Semantics.Components.Core->Semantics.Components.Core.WitnessComponent - - -contains - - - -Semantics.Components.Core->Semantics.FixedPoint - - -imports - - - -Semantics.Components.Demo - -module -Demo - - - -Semantics.Components.Demo->Semantics.Components.Core - - -imports - - - -Semantics.Components.Demo.demoGradientBindMix - -def -demoGradientBindMix - - - -Semantics.Components.Demo->Semantics.Components.Demo.demoGradientBindMix - - -contains - - - -Semantics.Components.Demo.demoQuaternionBindMix - -def -demoQuaternionBindMix - - - -Semantics.Components.Demo->Semantics.Components.Demo.demoQuaternionBindMix - - -contains - - - -Semantics.Components.Demo.demoPipelineMix - -def -demoPipelineMix - - - -Semantics.Components.Demo->Semantics.Components.Demo.demoPipelineMix - - -contains - - - -Semantics.Components.Demo.demoStateMix - -def -demoStateMix - - - -Semantics.Components.Demo->Semantics.Components.Demo.demoStateMix - - -contains - - - -Semantics.Components.Demo.selectCostComponent - -def -selectCostComponent - - - -Semantics.Components.Demo->Semantics.Components.Demo.selectCostComponent - - -contains - - - -Semantics.Components.Demo.configureComponent - -def -configureComponent - - - -Semantics.Components.Demo->Semantics.Components.Demo.configureComponent - - -contains - - - -Semantics.Components.Demo.runAllDemos - -def -runAllDemos - - - -Semantics.Components.Demo->Semantics.Components.Demo.runAllDemos - - -contains - - - -Semantics.Components.Gradient - -module -Gradient - - - -Semantics.Components.Gradient.GradientState - -def -GradientState - - - -Semantics.Components.Gradient->Semantics.Components.Gradient.GradientState - - -contains - - - -Semantics.Components.Gradient->Semantics.FixedPoint - - -imports - - - -Semantics.Components.Pipeline - -module -Pipeline - - - -Semantics.Components.Pipeline.TemporalBufferComponent - -def -TemporalBufferComponent - - - -Semantics.Components.Pipeline->Semantics.Components.Pipeline.TemporalBufferComponent - - -contains - - - -Semantics.Components.Pipeline->Semantics.FixedPoint - - -imports - - - -Semantics.Components.Quaternion - -module -Quaternion - - - -Semantics.Components.Quaternion.Quaternion - -def -Quaternion - - - -Semantics.Components.Quaternion->Semantics.Components.Quaternion.Quaternion - - -contains - - - -Semantics.Components.Quaternion->Semantics.Components.Quaternion.Quaternion - - -contains - - - -Semantics.Components.Quaternion->Semantics.FixedPoint - - -imports - - - -Semantics.Components.State - -module -State - - - -Semantics.Components.State.CanonicalStateComponent - -def -CanonicalStateComponent - - - -Semantics.Components.State->Semantics.Components.State.CanonicalStateComponent - - -contains - - - -Semantics.Components.State.updateStateWithDelta - -def -updateStateWithDelta - - - -Semantics.Components.State->Semantics.Components.State.updateStateWithDelta - - -contains - - - -Semantics.Components.State->Semantics.FixedPoint - - -imports - - - -Semantics.CompressionControl - -module -CompressionControl - - - -Semantics.CompressionControl.cachedCanonicalized - -theorem -cachedCanonicalized - - - -Semantics.CompressionControl->Semantics.CompressionControl.cachedCanonicalized - - -contains - - - -Semantics.CompressionControl.pruneSetsPruned - -theorem -pruneSetsPruned - - - -Semantics.CompressionControl->Semantics.CompressionControl.pruneSetsPruned - - -contains - - - -Semantics.CompressionControl.highConfidenceAdmissibleNotPruned - -theorem -highConfidenceAdmissibleNotPruned - - - -Semantics.CompressionControl->Semantics.CompressionControl.highConfidenceAdmissibleNotPruned - - -contains - - - -Semantics.CompressionControl.seenCacheCanonicalized - -theorem -seenCacheCanonicalized - - - -Semantics.CompressionControl->Semantics.CompressionControl.seenCacheCanonicalized - - -contains - - - -Semantics.CompressionControl.confidenceThreshold - -def -confidenceThreshold - - - -Semantics.CompressionControl->Semantics.CompressionControl.confidenceThreshold - - -contains - - - -Semantics.CompressionControl.redThreshold - -def -redThreshold - - - -Semantics.CompressionControl->Semantics.CompressionControl.redThreshold - - -contains - - - -Semantics.CompressionControl.blueThreshold - -def -blueThreshold - - - -Semantics.CompressionControl->Semantics.CompressionControl.blueThreshold - - -contains - - - -Semantics.CompressionControl.updateConfidence - -def -updateConfidence - - - -Semantics.CompressionControl->Semantics.CompressionControl.updateConfidence - - -contains - - - -Semantics.CompressionControl.getControlFlag - -def -getControlFlag - - - -Semantics.CompressionControl->Semantics.CompressionControl.getControlFlag - - -contains - - - -Semantics.CompressionControl.canonicalized - -def -canonicalized - - - -Semantics.CompressionControl->Semantics.CompressionControl.canonicalized - - -contains - - - -Semantics.CompressionControl.pruneDecision - -def -pruneDecision - - - -Semantics.CompressionControl->Semantics.CompressionControl.pruneDecision - - -contains - - - -Semantics.CompressionControl.localUpdate - -def -localUpdate - - - -Semantics.CompressionControl->Semantics.CompressionControl.localUpdate - - -contains - - - -Semantics.CompressionControl.cacheUpdate - -def -cacheUpdate - - - -Semantics.CompressionControl->Semantics.CompressionControl.cacheUpdate - - -contains - - - -Semantics.CompressionControl.canonicalize - -def -canonicalize - - - -Semantics.CompressionControl->Semantics.CompressionControl.canonicalize - - -contains - - - -Semantics.CompressionControl.prune - -def -prune - - - -Semantics.CompressionControl->Semantics.CompressionControl.prune - - -contains - - - -Semantics.CompressionControl.controlStep - -def -controlStep - - - -Semantics.CompressionControl->Semantics.CompressionControl.controlStep - - -contains - - - -Semantics.CompressionControl.controlAdmissible - -def -controlAdmissible - - - -Semantics.CompressionControl->Semantics.CompressionControl.controlAdmissible - - -contains - - - -Semantics.CompressionControl.sampleControlState - -def -sampleControlState - - - -Semantics.CompressionControl->Semantics.CompressionControl.sampleControlState - - -contains - - - -Semantics.CompressionControl.sampleControlStep - -def -sampleControlStep - - - -Semantics.CompressionControl->Semantics.CompressionControl.sampleControlStep - - -contains - - - -Semantics.CompressionControl->Semantics.FixedPoint - - -imports - - - -Semantics.CompressionEvidence - -module -CompressionEvidence - - - -Semantics.CompressionEvidence.energyDecomposesRetainedPlusResidual - -theorem -energyDecomposesRetainedPlusResidual - - - -Semantics.CompressionEvidence->Semantics.CompressionEvidence.energyDecomposesRetainedPlusResidual - - -contains - - - -Semantics.CompressionEvidence.retainedBasisErrorEqResidual - -theorem -retainedBasisErrorEqResidual - - - -Semantics.CompressionEvidence->Semantics.CompressionEvidence.retainedBasisErrorEqResidual - - -contains - - - -Semantics.CompressionEvidence.residualToleranceMonotone - -theorem -residualToleranceMonotone - - - -Semantics.CompressionEvidence->Semantics.CompressionEvidence.residualToleranceMonotone - - -contains - - - -Semantics.CompressionEvidence.admissibleOfEvidence - -theorem -admissibleOfEvidence - - - -Semantics.CompressionEvidence->Semantics.CompressionEvidence.admissibleOfEvidence - - -contains - - - -Semantics.CompressionEvidence.mkLocalEnvironment - -def -mkLocalEnvironment - - - -Semantics.CompressionEvidence->Semantics.CompressionEvidence.mkLocalEnvironment - - -contains - - - -Semantics.CompressionEvidence.retainedBasisError - -def -retainedBasisError - - - -Semantics.CompressionEvidence->Semantics.CompressionEvidence.retainedBasisError - - -contains - - - -Semantics.CompressionEvidence.isBodyOrderedUpTo - -def -isBodyOrderedUpTo - - - -Semantics.CompressionEvidence->Semantics.CompressionEvidence.isBodyOrderedUpTo - - -contains - - - -Semantics.CompressionEvidence.withinResidualLimit - -def -withinResidualLimit - - - -Semantics.CompressionEvidence->Semantics.CompressionEvidence.withinResidualLimit - - -contains - - - -Semantics.CompressionEvidence.compressionAdmissible - -def -compressionAdmissible - - - -Semantics.CompressionEvidence->Semantics.CompressionEvidence.compressionAdmissible - - -contains - - - -Semantics.CompressionEvidence.sampleBudget - -def -sampleBudget - - - -Semantics.CompressionEvidence->Semantics.CompressionEvidence.sampleBudget - - -contains - - - -Semantics.CompressionEvidence.sampleEnvironment - -def -sampleEnvironment - - - -Semantics.CompressionEvidence->Semantics.CompressionEvidence.sampleEnvironment - - -contains - - - -Semantics.CompressionEvidence.sampleResidualEnvironment - -def -sampleResidualEnvironment - - - -Semantics.CompressionEvidence->Semantics.CompressionEvidence.sampleResidualEnvironment - - -contains - - - -Semantics.CompressionEvidence->Semantics.FixedPoint - - -imports - - - -Semantics.CompressionLossComparison - -module -CompressionLossComparison - - - -Semantics.CompressionLossComparison.standard_is_degenerate_field - -theorem -standard_is_degenerate_field - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.standard_is_degenerate_field - - -contains - - - -Semantics.CompressionLossComparison.self_compression_has_curvature - -theorem -self_compression_has_curvature - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.self_compression_has_curvature - - -contains - - - -Semantics.CompressionLossComparison.field_based_strictly_generalizes_standard - -theorem -field_based_strictly_generalizes_standar - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.field_based_strictly_generalizes_standard - - -contains - - - -Semantics.CompressionLossComparison.field_based_strictly_generalizes_self_compression - -theorem -field_based_strictly_generalizes_self_co - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.field_based_strictly_generalizes_self_compression - - -contains - - - -Semantics.CompressionLossComparison.fixedPointStationary - -theorem -fixedPointStationary - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.fixedPointStationary - - -contains - - - -Semantics.CompressionLossComparison.lyapunovStability - -theorem -lyapunovStability - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.lyapunovStability - - -contains - - - -Semantics.CompressionLossComparison.convergenceToAttractor - -theorem -convergenceToAttractor - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.convergenceToAttractor - - -contains - - - -Semantics.CompressionLossComparison.field_based_generalizes_standard_wf - -theorem -field_based_generalizes_standard_wf - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.field_based_generalizes_standard_wf - - -contains - - - -Semantics.CompressionLossComparison.field_based_generalizes_self_compression_wf - -theorem -field_based_generalizes_self_compression - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.field_based_generalizes_self_compression_wf - - -contains - - - -Semantics.CompressionLossComparison.expressivity_hierarchy_completed - -theorem -expressivity_hierarchy_completed - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.expressivity_hierarchy_completed - - -contains - - - -Semantics.CompressionLossComparison.denominator - -def -denominator - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.denominator - - -contains - - - -Semantics.CompressionLossComparison.numerator - -def -numerator - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.numerator - - -contains - - - -Semantics.CompressionLossComparison.phi - -def -phi - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.phi - - -contains - - - -Semantics.CompressionLossComparison.loss - -def -loss - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.loss - - -contains - - - -Semantics.CompressionLossComparison.StandardTrainingLoss - -def -StandardTrainingLoss - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.StandardTrainingLoss - - -contains - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.StandardTrainingLoss - - -contains - - - -Semantics.CompressionLossComparison.standardToUnified - -def -standardToUnified - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.standardToUnified - - -contains - - - -Semantics.CompressionLossComparison.SelfCompressionLoss - -def -SelfCompressionLoss - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.SelfCompressionLoss - - -contains - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.SelfCompressionLoss - - -contains - - - -Semantics.CompressionLossComparison.selfCompressionToUnified - -def -selfCompressionToUnified - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.selfCompressionToUnified - - -contains - - - -Semantics.CompressionLossComparison.FieldBasedLoss - -def -FieldBasedLoss - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.FieldBasedLoss - - -contains - - - -Semantics.CompressionLossComparison.gradientStep - -def -gradientStep - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.gradientStep - - -contains - - - -Semantics.CompressionLossComparison.isFixedPoint - -def -isFixedPoint - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.isFixedPoint - - -contains - - - -Semantics.CompressionLossComparison.lyapunovV - -def -lyapunovV - - - -Semantics.CompressionLossComparison->Semantics.CompressionLossComparison.lyapunovV - - -contains - - - -Semantics.CompressionMaximization - -module -CompressionMaximization - - - -Semantics.CompressionMaximization.theoreticalLimitNegative - -theorem -theoreticalLimitNegative - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.theoreticalLimitNegative - - -contains - - - -Semantics.CompressionMaximization.speedImprovementSignificant - -theorem -speedImprovementSignificant - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.speedImprovementSignificant - - -contains - - - -Semantics.CompressionMaximization.memoryImprovementSignificant - -theorem -memoryImprovementSignificant - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.memoryImprovementSignificant - - -contains - - - -Semantics.CompressionMaximization.theoreticalLimitViolatesPhysicalConstraint - -theorem -theoreticalLimitViolatesPhysicalConstrai - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.theoreticalLimitViolatesPhysicalConstraint - - -contains - - - -Semantics.CompressionMaximization.limitReached - -theorem -limitReached - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.limitReached - - -contains - - - -Semantics.CompressionMaximization.maxIterations - -def -maxIterations - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.maxIterations - - -contains - - - -Semantics.CompressionMaximization.numTemplates - -def -numTemplates - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.numTemplates - - -contains - - - -Semantics.CompressionMaximization.totalHypotheses - -def -totalHypotheses - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.totalHypotheses - - -contains - - - -Semantics.CompressionMaximization.hutterRecordRatio - -def -hutterRecordRatio - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.hutterRecordRatio - - -contains - - - -Semantics.CompressionMaximization.hutterTargetRatio - -def -hutterTargetRatio - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.hutterTargetRatio - - -contains - - - -Semantics.CompressionMaximization.winningEquation - -def -winningEquation - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.winningEquation - - -contains - - - -Semantics.CompressionMaximization.winningEquationDescription - -def -winningEquationDescription - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.winningEquationDescription - - -contains - - - -Semantics.CompressionMaximization.winningEquationDomains - -def -winningEquationDomains - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.winningEquationDomains - - -contains - - - -Semantics.CompressionMaximization.iteration0Ratio - -def -iteration0Ratio - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.iteration0Ratio - - -contains - - - -Semantics.CompressionMaximization.iteration50Ratio - -def -iteration50Ratio - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.iteration50Ratio - - -contains - - - -Semantics.CompressionMaximization.iteration100Ratio - -def -iteration100Ratio - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.iteration100Ratio - - -contains - - - -Semantics.CompressionMaximization.iteration500Ratio - -def -iteration500Ratio - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.iteration500Ratio - - -contains - - - -Semantics.CompressionMaximization.theoreticalLimit - -def -theoreticalLimit - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.theoreticalLimit - - -contains - - - -Semantics.CompressionMaximization.speedImprovement - -def -speedImprovement - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.speedImprovement - - -contains - - - -Semantics.CompressionMaximization.memoryImprovement - -def -memoryImprovement - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.memoryImprovement - - -contains - - - -Semantics.CompressionMaximization.compressionRatioPhysicalConstraint - -def -compressionRatioPhysicalConstraint - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.compressionRatioPhysicalConstraint - - -contains - - - -Semantics.CompressionMaximization.theoreticalLimitReached - -def -theoreticalLimitReached - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.theoreticalLimitReached - - -contains - - - -Semantics.CompressionMaximization.insight1 - -def -insight1 - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.insight1 - - -contains - - - -Semantics.CompressionMaximization.insight2 - -def -insight2 - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.insight2 - - -contains - - - -Semantics.CompressionMaximization.insight3 - -def -insight3 - - - -Semantics.CompressionMaximization->Semantics.CompressionMaximization.insight3 - - -contains - - - -Semantics.CompressionMechanics - -module -CompressionMechanics - - - -Semantics.CompressionMechanics.mechanicallyAdmissibleOfBounds - -theorem -mechanicallyAdmissibleOfBounds - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.mechanicallyAdmissibleOfBounds - - -contains - - - -Semantics.CompressionMechanics.positiveWorkOfIrreversibleCompression - -theorem -positiveWorkOfIrreversibleCompression - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.positiveWorkOfIrreversibleCompression - - -contains - - - -Semantics.CompressionMechanics.compressionContractsMechanicalOrder - -theorem -compressionContractsMechanicalOrder - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.compressionContractsMechanicalOrder - - -contains - - - -Semantics.CompressionMechanics.summaryAligned - -def -summaryAligned - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.summaryAligned - - -contains - - - -Semantics.CompressionMechanics.contactOrderCovered - -def -contactOrderCovered - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.contactOrderCovered - - -contains - - - -Semantics.CompressionMechanics.actuationBudgeted - -def -actuationBudgeted - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.actuationBudgeted - - -contains - - - -Semantics.CompressionMechanics.workBudgeted - -def -workBudgeted - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.workBudgeted - - -contains - - - -Semantics.CompressionMechanics.allBudgetsCovered - -def -allBudgetsCovered - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.allBudgetsCovered - - -contains - - - -Semantics.CompressionMechanics.mechanicallyAdmissible - -def -mechanicallyAdmissible - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.mechanicallyAdmissible - - -contains - - - -Semantics.CompressionMechanics.witnessOfCompression - -def -witnessOfCompression - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.witnessOfCompression - - -contains - - - -Semantics.CompressionMechanics.sampleMechanicalCompressionWitness - -def -sampleMechanicalCompressionWitness - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.sampleMechanicalCompressionWitness - - -contains - - - -Semantics.CompressionMechanics.timePenalty - -def -timePenalty - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.timePenalty - - -contains - - - -Semantics.CompressionMechanics.gaFitnessFunction - -def -gaFitnessFunction - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.gaFitnessFunction - - -contains - - - -Semantics.CompressionMechanics.compressionRatio - -def -compressionRatio - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.compressionRatio - - -contains - - - -Semantics.CompressionMechanics.defaultGAFitnessParams - -def -defaultGAFitnessParams - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.defaultGAFitnessParams - - -contains - - - -Semantics.CompressionMechanics.adaptiveCompressionFitness - -def -adaptiveCompressionFitness - - - -Semantics.CompressionMechanics->Semantics.CompressionMechanics.adaptiveCompressionFitness - - -contains - - - -Semantics.CompressionMechanics->Semantics.FixedPoint - - -imports - - - -Semantics.CompressionMechanicsBridge - -module -CompressionMechanicsBridge - - - -Semantics.CompressionMechanicsBridge.substrateAdmissibleOfBounds - -theorem -substrateAdmissibleOfBounds - - - -Semantics.CompressionMechanicsBridge->Semantics.CompressionMechanicsBridge.substrateAdmissibleOfBounds - - -contains - - - -Semantics.CompressionMechanicsBridge.resolvedSitesLeSupportBudget - -theorem -resolvedSitesLeSupportBudget - - - -Semantics.CompressionMechanicsBridge->Semantics.CompressionMechanicsBridge.resolvedSitesLeSupportBudget - - -contains - - - -Semantics.CompressionMechanicsBridge.landauerCoveredBySubstrate - -theorem -landauerCoveredBySubstrate - - - -Semantics.CompressionMechanicsBridge->Semantics.CompressionMechanicsBridge.landauerCoveredBySubstrate - - -contains - - - -Semantics.CompressionMechanicsBridge.compressionTracePhysicallyAdmissible - -theorem -compressionTracePhysicallyAdmissible - - - -Semantics.CompressionMechanicsBridge->Semantics.CompressionMechanicsBridge.compressionTracePhysicallyAdmissible - - -contains - - - -Semantics.CompressionMechanicsBridge.dissipationCovered - -def -dissipationCovered - - - -Semantics.CompressionMechanicsBridge->Semantics.CompressionMechanicsBridge.dissipationCovered - - -contains - - - -Semantics.CompressionMechanicsBridge.supportCovered - -def -supportCovered - - - -Semantics.CompressionMechanicsBridge->Semantics.CompressionMechanicsBridge.supportCovered - - -contains - - - -Semantics.CompressionMechanicsBridge.defectToleranceCovered - -def -defectToleranceCovered - - - -Semantics.CompressionMechanicsBridge->Semantics.CompressionMechanicsBridge.defectToleranceCovered - - -contains - - - -Semantics.CompressionMechanicsBridge.substrateAdmissible - -def -substrateAdmissible - - - -Semantics.CompressionMechanicsBridge->Semantics.CompressionMechanicsBridge.substrateAdmissible - - -contains - - - -Semantics.CompressionMechanicsBridge.witnessOfDefect - -def -witnessOfDefect - - - -Semantics.CompressionMechanicsBridge->Semantics.CompressionMechanicsBridge.witnessOfDefect - - -contains - - - -Semantics.CompressionMechanicsBridge.sampleSubstrateWitness - -def -sampleSubstrateWitness - - - -Semantics.CompressionMechanicsBridge->Semantics.CompressionMechanicsBridge.sampleSubstrateWitness - - -contains - - - -Semantics.CompressionMechanicsBridge->Semantics.FixedPoint - - -imports - - - -Semantics.CompressionYield - -module -CompressionYield - - - -Semantics.CompressionYield.max_bands_bounded_by_value_count - -theorem -max_bands_bounded_by_value_count - - - -Semantics.CompressionYield->Semantics.CompressionYield.max_bands_bounded_by_value_count - - -contains - - - -Semantics.CompressionYield.dish_total_is_60000 - -theorem -dish_total_is_60000 - - - -Semantics.CompressionYield->Semantics.CompressionYield.dish_total_is_60000 - - -contains - - - -Semantics.CompressionYield.baseline_total_is_20000 - -theorem -baseline_total_is_20000 - - - -Semantics.CompressionYield->Semantics.CompressionYield.baseline_total_is_20000 - - -contains - - - -Semantics.CompressionYield.full_lambda_total_is_60000000 - -theorem -full_lambda_total_is_60000000 - - - -Semantics.CompressionYield->Semantics.CompressionYield.full_lambda_total_is_60000000 - - -contains - - - -Semantics.CompressionYield.full_lambda_dominates_baseline - -theorem -full_lambda_dominates_baseline - - - -Semantics.CompressionYield->Semantics.CompressionYield.full_lambda_dominates_baseline - - -contains - - - -Semantics.CompressionYield.full_lambda_dominates_dish - -theorem -full_lambda_dominates_dish - - - -Semantics.CompressionYield->Semantics.CompressionYield.full_lambda_dominates_dish - - -contains - - - -Semantics.CompressionYield.holographic_advantage_over_baseline_dish - -theorem -holographic_advantage_over_baseline_dish - - - -Semantics.CompressionYield->Semantics.CompressionYield.holographic_advantage_over_baseline_dish - - -contains - - - -Semantics.CompressionYield.three_rotation_advantage - -theorem -three_rotation_advantage - - - -Semantics.CompressionYield->Semantics.CompressionYield.three_rotation_advantage - - -contains - - - -Semantics.CompressionYield.logogram_holographic_advantage - -theorem -logogram_holographic_advantage - - - -Semantics.CompressionYield->Semantics.CompressionYield.logogram_holographic_advantage - - -contains - - - -Semantics.CompressionYield.logogram_holographic_is_3000x - -theorem -logogram_holographic_is_3000x - - - -Semantics.CompressionYield->Semantics.CompressionYield.logogram_holographic_is_3000x - - -contains - - - -Semantics.CompressionYield.multipliers_are_multiplicative - -theorem -multipliers_are_multiplicative - - - -Semantics.CompressionYield->Semantics.CompressionYield.multipliers_are_multiplicative - - -contains - - - -Semantics.CompressionYield.delta_zero_gives_all_bands - -theorem -delta_zero_gives_all_bands - - - -Semantics.CompressionYield->Semantics.CompressionYield.delta_zero_gives_all_bands - - -contains - - - -Semantics.CompressionYield.delta_one_gives_one_band - -theorem -delta_one_gives_one_band - - - -Semantics.CompressionYield->Semantics.CompressionYield.delta_one_gives_one_band - - -contains - - - -Semantics.CompressionYield.delta_half_gives_two_bands - -theorem -delta_half_gives_two_bands - - - -Semantics.CompressionYield->Semantics.CompressionYield.delta_half_gives_two_bands - - -contains - - - -Semantics.CompressionYield.delta_small_gives_many_bands - -theorem -delta_small_gives_many_bands - - - -Semantics.CompressionYield->Semantics.CompressionYield.delta_small_gives_many_bands - - -contains - - - -Semantics.CompressionYield.totalMultiplier - -def -totalMultiplier - - - -Semantics.CompressionYield->Semantics.CompressionYield.totalMultiplier - - -contains - - - -Semantics.CompressionYield.q0_16_valueCount - -def -q0_16_valueCount - - - -Semantics.CompressionYield->Semantics.CompressionYield.q0_16_valueCount - - -contains - - - -Semantics.CompressionYield.maxLambdaBands - -def -maxLambdaBands - - - -Semantics.CompressionYield->Semantics.CompressionYield.maxLambdaBands - - -contains - - - -Semantics.CompressionYield.dishHolographicYield - -def -dishHolographicYield - - - -Semantics.CompressionYield->Semantics.CompressionYield.dishHolographicYield - - -contains - - - -Semantics.CompressionYield.fullLambdaYield - -def -fullLambdaYield - - - -Semantics.CompressionYield->Semantics.CompressionYield.fullLambdaYield - - -contains - - - -Semantics.CompressionYield.baselineYield - -def -baselineYield - - - -Semantics.CompressionYield->Semantics.CompressionYield.baselineYield - - -contains - - - -Semantics.CompressionYield.threeRotationYield - -def -threeRotationYield - - - -Semantics.CompressionYield->Semantics.CompressionYield.threeRotationYield - - -contains - - - -Semantics.CompressionYield.logogramBaselineYield - -def -logogramBaselineYield - - - -Semantics.CompressionYield->Semantics.CompressionYield.logogramBaselineYield - - -contains - - - -Semantics.CompressionYield.logogramHolographicYield - -def -logogramHolographicYield - - - -Semantics.CompressionYield->Semantics.CompressionYield.logogramHolographicYield - - -contains - - - -Semantics.ComputationProfile - -module -ComputationProfile - - - -Semantics.ConflictResolution - -module -ConflictResolution - - - -Semantics.ConflictResolution.resolveByTimestampPriorityReturnsProposal - -theorem -resolveByTimestampPriorityReturnsProposa - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.resolveByTimestampPriorityReturnsProposal - - -contains - - - -Semantics.ConflictResolution.resolveByHashDeterministicReturnsProposal - -theorem -resolveByHashDeterministicReturnsProposa - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.resolveByHashDeterministicReturnsProposal - - -contains - - - -Semantics.ConflictResolution.detectNetworkPartitionReturnsOption - -theorem -detectNetworkPartitionReturnsOption - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.detectNetworkPartitionReturnsOption - - -contains - - - -Semantics.ConflictResolution.applyResolutionStrategyReturnsOption - -theorem -applyResolutionStrategyReturnsOption - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.applyResolutionStrategyReturnsOption - - -contains - - - -Semantics.ConflictResolution.zero - -def -zero - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.zero - - -contains - - - -Semantics.ConflictResolution.one - -def -one - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.one - - -contains - - - -Semantics.ConflictResolution.ofFrac - -def -ofFrac - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.ofFrac - - -contains - - - -Semantics.ConflictResolution.detectSimultaneousFlips - -def -detectSimultaneousFlips - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.detectSimultaneousFlips - - -contains - - - -Semantics.ConflictResolution.detectConflictingPatterns - -def -detectConflictingPatterns - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.detectConflictingPatterns - - -contains - - - -Semantics.ConflictResolution.detectNetworkPartition - -def -detectNetworkPartition - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.detectNetworkPartition - - -contains - - - -Semantics.ConflictResolution.resolveByTimestampPriority - -def -resolveByTimestampPriority - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.resolveByTimestampPriority - - -contains - - - -Semantics.ConflictResolution.computeProposalHash - -def -computeProposalHash - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.computeProposalHash - - -contains - - - -Semantics.ConflictResolution.resolveByHashDeterministic - -def -resolveByHashDeterministic - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.resolveByHashDeterministic - - -contains - - - -Semantics.ConflictResolution.resolveByMajorityPartition - -def -resolveByMajorityPartition - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.resolveByMajorityPartition - - -contains - - - -Semantics.ConflictResolution.applyResolutionStrategy - -def -applyResolutionStrategy - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.applyResolutionStrategy - - -contains - - - -Semantics.ConflictResolution.createTestProposal - -def -createTestProposal - - - -Semantics.ConflictResolution->Semantics.ConflictResolution.createTestProposal - - -contains - - - -Semantics.Connectors - -module -Connectors - - - -Semantics.Connectors.linearAccumulationIntegrable - -theorem -linearAccumulationIntegrable - - - -Semantics.Connectors->Semantics.Connectors.linearAccumulationIntegrable - - -contains - - - -Semantics.Connectors.zeroIsVoid - -theorem -zeroIsVoid - - - -Semantics.Connectors->Semantics.Connectors.zeroIsVoid - - -contains - - - -Semantics.Connectors.aldiTorsion - -def -aldiTorsion - - - -Semantics.Connectors->Semantics.Connectors.aldiTorsion - - -contains - - - -Semantics.Connectors.isIntegrable - -def -isIntegrable - - - -Semantics.Connectors->Semantics.Connectors.isIntegrable - - -contains - - - -Semantics.Connectors.isStable - -def -isStable - - - -Semantics.Connectors->Semantics.Connectors.isStable - - -contains - - - -Semantics.Connectors.omegaMax - -def -omegaMax - - - -Semantics.Connectors->Semantics.Connectors.omegaMax - - -contains - - - -Semantics.Connectors.existsSOC - -def -existsSOC - - - -Semantics.Connectors->Semantics.Connectors.existsSOC - - -contains - - - -Semantics.Connectors.isVoidConcept - -def -isVoidConcept - - - -Semantics.Connectors->Semantics.Connectors.isVoidConcept - - -contains - - - -Semantics.Connectors.isLocked - -def -isLocked - - - -Semantics.Connectors->Semantics.Connectors.isLocked - - -contains - - - -Semantics.Connectors.stressLawful - -def -stressLawful - - - -Semantics.Connectors->Semantics.Connectors.stressLawful - - -contains - - - -Semantics.Connectors.dualityLawful - -def -dualityLawful - - - -Semantics.Connectors->Semantics.Connectors.dualityLawful - - -contains - - - -Semantics.Constitution - -module -Constitution - - - -Semantics.Constitution->Semantics.Atoms - - -imports - - - -Semantics.Constitution.no_object_without_semantic_grounding - -theorem -no_object_without_semantic_grounding - - - -Semantics.Constitution->Semantics.Constitution.no_object_without_semantic_grounding - - -contains - - - -Semantics.Constitution.no_motion_without_lawful_path - -theorem -no_motion_without_lawful_path - - - -Semantics.Constitution->Semantics.Constitution.no_motion_without_lawful_path - - -contains - - - -Semantics.Constitution.no_complexity_without_load_map - -theorem -no_complexity_without_load_map - - - -Semantics.Constitution->Semantics.Constitution.no_complexity_without_load_map - - -contains - - - -Semantics.Constitution.no_universality_loss_under_constitution - -theorem -no_universality_loss_under_constitution - - - -Semantics.Constitution->Semantics.Constitution.no_universality_loss_under_constitution - - -contains - - - -Semantics.Constitution.canonical_form_required - -theorem -canonical_form_required - - - -Semantics.Constitution->Semantics.Constitution.canonical_form_required - - -contains - - - -Semantics.Constitution.evolution_audit_required - -theorem -evolution_audit_required - - - -Semantics.Constitution->Semantics.Constitution.evolution_audit_required - - -contains - - - -Semantics.Constitution.scalar_certification_required - -theorem -scalar_certification_required - - - -Semantics.Constitution->Semantics.Constitution.scalar_certification_required - - -contains - - - -Semantics.Constitution.scalar_collapse_must_be_admissible - -theorem -scalar_collapse_must_be_admissible - - - -Semantics.Constitution->Semantics.Constitution.scalar_collapse_must_be_admissible - - -contains - - - -Semantics.Constitution.silencer_blocks_admissibility - -theorem -silencer_blocks_admissibility - - - -Semantics.Constitution->Semantics.Constitution.silencer_blocks_admissibility - - -contains - - - -Semantics.Constitution.unacknowledged_flag_blocks_admissibility - -theorem -unacknowledged_flag_blocks_admissibility - - - -Semantics.Constitution->Semantics.Constitution.unacknowledged_flag_blocks_admissibility - - -contains - - - -Semantics.Constitution.fully_translated_iff_empty - -theorem -fully_translated_iff_empty - - - -Semantics.Constitution->Semantics.Constitution.fully_translated_iff_empty - - -contains - - - -Semantics.Constitution.FullyAdmissible - -def -FullyAdmissible - - - -Semantics.Constitution->Semantics.Constitution.FullyAdmissible - - -contains - - - -Semantics.Constitution.TranslationAdmissible - -def -TranslationAdmissible - - - -Semantics.Constitution->Semantics.Constitution.TranslationAdmissible - - -contains - - - -Semantics.Constitution.constitutionSelfContract - -def -constitutionSelfContract - - - -Semantics.Constitution->Semantics.Constitution.constitutionSelfContract - - -contains - - - -Semantics.Containment - -module -Containment - - - -Semantics.Containment.isContained - -def -isContained - - - -Semantics.Containment->Semantics.Containment.isContained - - -contains - - - -Semantics.Containment.canEscalate - -def -canEscalate - - - -Semantics.Containment->Semantics.Containment.canEscalate - - -contains - - - -Semantics.Containment->Semantics.FixedPoint - - -imports - - - -Semantics.ContinuedFractionCompression - -module -ContinuedFractionCompression - - - -Semantics.ContinuedFractionCompression.phi_five_reconstructs - -theorem -phi_five_reconstructs - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.phi_five_reconstructs - - -contains - - - -Semantics.ContinuedFractionCompression.phi_squared_reconstructs - -theorem -phi_squared_reconstructs - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.phi_squared_reconstructs - - -contains - - - -Semantics.ContinuedFractionCompression.ten_point_five_reconstructs - -theorem -ten_point_five_reconstructs - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.ten_point_five_reconstructs - - -contains - - - -Semantics.ContinuedFractionCompression.phi_packet_promotable - -theorem -phi_packet_promotable - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.phi_packet_promotable - - -contains - - - -Semantics.ContinuedFractionCompression.phi_squared_packet_promotable - -theorem -phi_squared_packet_promotable - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.phi_squared_packet_promotable - - -contains - - - -Semantics.ContinuedFractionCompression.ten_point_five_packet_promotable - -theorem -ten_point_five_packet_promotable - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.ten_point_five_packet_promotable - - -contains - - - -Semantics.ContinuedFractionCompression.large_quotient_not_promotable - -theorem -large_quotient_not_promotable - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.large_quotient_not_promotable - - -contains - - - -Semantics.ContinuedFractionCompression.aesthetic_cf_packet_not_promotable - -theorem -aesthetic_cf_packet_not_promotable - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.aesthetic_cf_packet_not_promotable - - -contains - - - -Semantics.ContinuedFractionCompression.promotable_cf_reconstructs - -theorem -promotable_cf_reconstructs - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.promotable_cf_reconstructs - - -contains - - - -Semantics.ContinuedFractionCompression.promotable_cf_satisfies_byte_law - -theorem -promotable_cf_satisfies_byte_law - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.promotable_cf_satisfies_byte_law - - -contains - - - -Semantics.ContinuedFractionCompression.evalCf - -def -evalCf - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.evalCf - - -contains - - - -Semantics.ContinuedFractionCompression.partialQuotientsAdmissible - -def -partialQuotientsAdmissible - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.partialQuotientsAdmissible - - -contains - - - -Semantics.ContinuedFractionCompression.partialQuotientsByteSized - -def -partialQuotientsByteSized - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.partialQuotientsByteSized - - -contains - - - -Semantics.ContinuedFractionCompression.cfPayloadBytes - -def -cfPayloadBytes - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.cfPayloadBytes - - -contains - - - -Semantics.ContinuedFractionCompression.cfReconstructs - -def -cfReconstructs - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.cfReconstructs - - -contains - - - -Semantics.ContinuedFractionCompression.cfByteLawHolds - -def -cfByteLawHolds - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.cfByteLawHolds - - -contains - - - -Semantics.ContinuedFractionCompression.cfCompressionPromotable - -def -cfCompressionPromotable - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.cfCompressionPromotable - - -contains - - - -Semantics.ContinuedFractionCompression.phiFivePacket - -def -phiFivePacket - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.phiFivePacket - - -contains - - - -Semantics.ContinuedFractionCompression.phiSquaredPacket - -def -phiSquaredPacket - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.phiSquaredPacket - - -contains - - - -Semantics.ContinuedFractionCompression.tenPointFivePacket - -def -tenPointFivePacket - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.tenPointFivePacket - - -contains - - - -Semantics.ContinuedFractionCompression.largeQuotientPacket - -def -largeQuotientPacket - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.largeQuotientPacket - - -contains - - - -Semantics.ContinuedFractionCompression.aestheticCfPacket - -def -aestheticCfPacket - - - -Semantics.ContinuedFractionCompression->Semantics.ContinuedFractionCompression.aestheticCfPacket - - -contains - - - -Semantics.CooperativeLUT - -module -CooperativeLUT - - - -Semantics.CooperativeLUT.genomeToAddressBound - -theorem -genomeToAddressBound - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.genomeToAddressBound - - -contains - - - -Semantics.CooperativeLUT.btbSizeInvariant - -theorem -btbSizeInvariant - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.btbSizeInvariant - - -contains - - - -Semantics.CooperativeLUT.streakThresholdPos - -theorem -streakThresholdPos - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.streakThresholdPos - - -contains - - - -Semantics.CooperativeLUT.addressZero - -def -addressZero - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.addressZero - - -contains - - - -Semantics.CooperativeLUT.addressInc - -def -addressInc - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.addressInc - - -contains - - - -Semantics.CooperativeLUT.addressCompat - -def -addressCompat - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.addressCompat - - -contains - - - -Semantics.CooperativeLUT.cellMask - -def -cellMask - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.cellMask - - -contains - - - -Semantics.CooperativeLUT.cellSet - -def -cellSet - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.cellSet - - -contains - - - -Semantics.CooperativeLUT.manifold2D - -def -manifold2D - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.manifold2D - - -contains - - - -Semantics.CooperativeLUT.manifold3D - -def -manifold3D - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.manifold3D - - -contains - - - -Semantics.CooperativeLUT.lutEmpty - -def -lutEmpty - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.lutEmpty - - -contains - - - -Semantics.CooperativeLUT.activeCount - -def -activeCount - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.activeCount - - -contains - - - -Semantics.CooperativeLUT.genomeToAddress - -def -genomeToAddress - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.genomeToAddress - - -contains - - - -Semantics.CooperativeLUT.addressToGenome - -def -addressToGenome - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.addressToGenome - - -contains - - - -Semantics.CooperativeLUT.drakeConstant - -def -drakeConstant - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.drakeConstant - - -contains - - - -Semantics.CooperativeLUT.driftBarrierConstant - -def -driftBarrierConstant - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.driftBarrierConstant - - -contains - - - -Semantics.CooperativeLUT.computeConstraintEntry - -def -computeConstraintEntry - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.computeConstraintEntry - - -contains - - - -Semantics.CooperativeLUT.biophysicalLUT - -def -biophysicalLUT - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.biophysicalLUT - - -contains - - - -Semantics.CooperativeLUT.counterIncrement - -def -counterIncrement - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.counterIncrement - - -contains - - - -Semantics.CooperativeLUT.counterDecrement - -def -counterDecrement - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.counterDecrement - - -contains - - - -Semantics.CooperativeLUT.counterPredictsTaken - -def -counterPredictsTaken - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.counterPredictsTaken - - -contains - - - -Semantics.CooperativeLUT.btbEmpty - -def -btbEmpty - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.btbEmpty - - -contains - - - -Semantics.CooperativeLUT.btbLookup - -def -btbLookup - - - -Semantics.CooperativeLUT->Semantics.CooperativeLUT.btbLookup - - -contains - - - -Semantics.CopyIfTactic - -module -CopyIfTactic - - - -Semantics.CopyIfTactic.foo - -theorem -foo - - - -Semantics.CopyIfTactic->Semantics.CopyIfTactic.foo - - -contains - - - -Semantics.CopyIfTactic.bar - -theorem -bar - - - -Semantics.CopyIfTactic->Semantics.CopyIfTactic.bar - - -contains - - - -Semantics.CopyIfTactic.baz - -theorem -baz - - - -Semantics.CopyIfTactic->Semantics.CopyIfTactic.baz - - -contains - - - -Semantics.Core.FoldedPointManifold - -module -FoldedPointManifold - - - -Semantics.Core.FoldedPointManifold.improvedFixture_yields_improved - -theorem -improvedFixture_yields_improved - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.improvedFixture_yields_improved - - -contains - - - -Semantics.Core.FoldedPointManifold.decreasedFixture_yields_decreased - -theorem -decreasedFixture_yields_decreased - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.decreasedFixture_yields_decreased - - -contains - - - -Semantics.Core.FoldedPointManifold.rejectedFixture_yields_reject - -theorem -rejectedFixture_yields_reject - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.rejectedFixture_yields_reject - - -contains - - - -Semantics.Core.FoldedPointManifold.heldFixture_yields_hold - -theorem -heldFixture_yields_hold - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.heldFixture_yields_hold - - -contains - - - -Semantics.Core.FoldedPointManifold.gateCompose_reject_dominates_left - -theorem -gateCompose_reject_dominates_left - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.gateCompose_reject_dominates_left - - -contains - - - -Semantics.Core.FoldedPointManifold.gateCompose_reject_dominates_right - -theorem -gateCompose_reject_dominates_right - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.gateCompose_reject_dominates_right - - -contains - - - -Semantics.Core.FoldedPointManifold.gateCompose_hold_blocks_admit - -theorem -gateCompose_hold_blocks_admit - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.gateCompose_hold_blocks_admit - - -contains - - - -Semantics.Core.FoldedPointManifold.gateCompose_admit_neutral - -theorem -gateCompose_admit_neutral - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.gateCompose_admit_neutral - - -contains - - - -Semantics.Core.FoldedPointManifold.deltaResolution_positive_fixture - -theorem -deltaResolution_positive_fixture - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.deltaResolution_positive_fixture - - -contains - - - -Semantics.Core.FoldedPointManifold.deltaResolution_negative_fixture - -theorem -deltaResolution_negative_fixture - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.deltaResolution_negative_fixture - - -contains - - - -Semantics.Core.FoldedPointManifold.deltaResolution_zero_fixture - -theorem -deltaResolution_zero_fixture - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.deltaResolution_zero_fixture - - -contains - - - -Semantics.Core.FoldedPointManifold.folded16Fixture_admits - -theorem -folded16Fixture_admits - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.folded16Fixture_admits - - -contains - - - -Semantics.Core.FoldedPointManifold.missingReplayFixture_holds - -theorem -missingReplayFixture_holds - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.missingReplayFixture_holds - - -contains - - - -Semantics.Core.FoldedPointManifold.overCapFixture_holds - -theorem -overCapFixture_holds - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.overCapFixture_holds - - -contains - - - -Semantics.Core.FoldedPointManifold.ordinaryPointFixture_rejects - -theorem -ordinaryPointFixture_rejects - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.ordinaryPointFixture_rejects - - -contains - - - -Semantics.Core.FoldedPointManifold.folded16Fixture_loopsBack - -theorem -folded16Fixture_loopsBack - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.folded16Fixture_loopsBack - - -contains - - - -Semantics.Core.FoldedPointManifold.noPermeabilityFixture_holdsLoopback - -theorem -noPermeabilityFixture_holdsLoopback - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.noPermeabilityFixture_holdsLoopback - - -contains - - - -Semantics.Core.FoldedPointManifold.ordinaryPointFixture_holdsLoopback - -theorem -ordinaryPointFixture_holdsLoopback - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.ordinaryPointFixture_holdsLoopback - - -contains - - - -Semantics.Core.FoldedPointManifold.mengerConservedFixture_conserved - -theorem -mengerConservedFixture_conserved - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.mengerConservedFixture_conserved - - -contains - - - -Semantics.Core.FoldedPointManifold.brokenConservationFixture_rejects - -theorem -brokenConservationFixture_rejects - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.brokenConservationFixture_rejects - - -contains - - - -Semantics.Core.FoldedPointManifold.missingMengerSeedFixture_holds - -theorem -missingMengerSeedFixture_holds - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.missingMengerSeedFixture_holds - - -contains - - - -Semantics.Core.FoldedPointManifold.isFoldedPoint - -def -isFoldedPoint - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.isFoldedPoint - - -contains - - - -Semantics.Core.FoldedPointManifold.withinDeclaredDimensionalCap - -def -withinDeclaredDimensionalCap - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.withinDeclaredDimensionalCap - - -contains - - - -Semantics.Core.FoldedPointManifold.hasTorsionPotential - -def -hasTorsionPotential - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.hasTorsionPotential - - -contains - - - -Semantics.Core.FoldedPointManifold.resolutionLost - -def -resolutionLost - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.resolutionLost - - -contains - - - -Semantics.Core.FoldedPointManifold.decideFoldedPoint - -def -decideFoldedPoint - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.decideFoldedPoint - - -contains - - - -Semantics.Core.FoldedPointManifold.decideLoopback - -def -decideLoopback - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.decideLoopback - - -contains - - - -Semantics.Core.FoldedPointManifold.conservedAcrossLevels - -def -conservedAcrossLevels - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.conservedAcrossLevels - - -contains - - - -Semantics.Core.FoldedPointManifold.decideConservation - -def -decideConservation - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.decideConservation - - -contains - - - -Semantics.Core.FoldedPointManifold.folded16Fixture - -def -folded16Fixture - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.folded16Fixture - - -contains - - - -Semantics.Core.FoldedPointManifold.missingReplayFixture - -def -missingReplayFixture - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.missingReplayFixture - - -contains - - - -Semantics.Core.FoldedPointManifold.overCapFixture - -def -overCapFixture - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.overCapFixture - - -contains - - - -Semantics.Core.FoldedPointManifold.ordinaryPointFixture - -def -ordinaryPointFixture - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.ordinaryPointFixture - - -contains - - - -Semantics.Core.FoldedPointManifold.noPermeabilityFixture - -def -noPermeabilityFixture - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.noPermeabilityFixture - - -contains - - - -Semantics.Core.FoldedPointManifold.mengerConservedFixture - -def -mengerConservedFixture - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.mengerConservedFixture - - -contains - - - -Semantics.Core.FoldedPointManifold.brokenConservationFixture - -def -brokenConservationFixture - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.brokenConservationFixture - - -contains - - - -Semantics.Core.FoldedPointManifold.missingMengerSeedFixture - -def -missingMengerSeedFixture - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.missingMengerSeedFixture - - -contains - - - -Semantics.Core.FoldedPointManifold.gateCompose - -def -gateCompose - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.gateCompose - - -contains - - - -Semantics.Core.FoldedPointManifold.gateComposeList - -def -gateComposeList - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.gateComposeList - - -contains - - - -Semantics.Core.FoldedPointManifold.deltaResolution - -def -deltaResolution - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.deltaResolution - - -contains - - - -Semantics.Core.FoldedPointManifold.interact - -def -interact - - - -Semantics.Core.FoldedPointManifold->Semantics.Core.FoldedPointManifold.interact - - -contains - - - -Semantics.Core.MassNumber - -module -MassNumber - - - -Semantics.Core.MassNumber.MassLe_eq_Prop - -theorem -MassLe_eq_Prop - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.MassLe_eq_Prop - - -contains - - - -Semantics.Core.MassNumber.MassLe - -def -MassLe - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.MassLe - - -contains - - - -Semantics.Core.MassNumber.MassLeProp - -def -MassLeProp - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.MassLeProp - - -contains - - - -Semantics.Core.MassNumber.MassLeDefault - -def -MassLeDefault - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.MassLeDefault - - -contains - - - -Semantics.Core.MassNumber.mkMassNumber - -def -mkMassNumber - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.mkMassNumber - - -contains - - - -Semantics.Core.MassNumber.mkMassNumberNat - -def -mkMassNumberNat - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.mkMassNumberNat - - -contains - - - -Semantics.Core.MassNumber.gcclSwapGate - -def -gcclSwapGate - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.gcclSwapGate - - -contains - - - -Semantics.Core.MassNumber.fammRouteGate - -def -fammRouteGate - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.fammRouteGate - - -contains - - - -Semantics.Core.MassNumber.braidTransferGate - -def -braidTransferGate - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.braidTransferGate - - -contains - - - -Semantics.Core.MassNumber.tsmTransitionGate - -def -tsmTransitionGate - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.tsmTransitionGate - - -contains - - - -Semantics.Core.MassNumber.hutterCompressionGate - -def -hutterCompressionGate - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.hutterCompressionGate - - -contains - - - -Semantics.Core.MassNumber.depthPolicyOk - -def -depthPolicyOk - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.depthPolicyOk - - -contains - - - -Semantics.Core.MassNumber.promotionReady - -def -promotionReady - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.promotionReady - - -contains - - - -Semantics.Core.MassNumber.underverseRule - -def -underverseRule - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.underverseRule - - -contains - - - -Semantics.Core.MassNumber.exampleNotAdmissible - -def -exampleNotAdmissible - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.exampleNotAdmissible - - -contains - - - -Semantics.Core.MassNumber.exampleAdmissible - -def -exampleAdmissible - - - -Semantics.Core.MassNumber->Semantics.Core.MassNumber.exampleAdmissible - - -contains - - - -Semantics.Core.PathEpigeneticManifold - -module -PathEpigeneticManifold - - - -Semantics.Core.PathEpigeneticManifold.admittedPathActivatesTorsion - -theorem -admittedPathActivatesTorsion - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.admittedPathActivatesTorsion - - -contains - - - -Semantics.Core.PathEpigeneticManifold.admittedPathClosesWitness - -theorem -admittedPathClosesWitness - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.admittedPathClosesWitness - - -contains - - - -Semantics.Core.PathEpigeneticManifold.admittedPathDecision - -theorem -admittedPathDecision - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.admittedPathDecision - - -contains - - - -Semantics.Core.PathEpigeneticManifold.holdPathLeavesTorsionUnchanged - -theorem -holdPathLeavesTorsionUnchanged - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.holdPathLeavesTorsionUnchanged - - -contains - - - -Semantics.Core.PathEpigeneticManifold.holdPathDecision - -theorem -holdPathDecision - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.holdPathDecision - - -contains - - - -Semantics.Core.PathEpigeneticManifold.quarantinePathRoutesResidual - -theorem -quarantinePathRoutesResidual - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.quarantinePathRoutesResidual - - -contains - - - -Semantics.Core.PathEpigeneticManifold.quarantinePathDecision - -theorem -quarantinePathDecision - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.quarantinePathDecision - - -contains - - - -Semantics.Core.PathEpigeneticManifold.zero - -def -zero - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.zero - - -contains - - - -Semantics.Core.PathEpigeneticManifold.get - -def -get - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.get - - -contains - - - -Semantics.Core.PathEpigeneticManifold.set - -def -set - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.set - - -contains - - - -Semantics.Core.PathEpigeneticManifold.markerAdmissible - -def -markerAdmissible - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.markerAdmissible - - -contains - - - -Semantics.Core.PathEpigeneticManifold.applyMarker - -def -applyMarker - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.applyMarker - - -contains - - - -Semantics.Core.PathEpigeneticManifold.applyPath - -def -applyPath - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.applyPath - - -contains - - - -Semantics.Core.PathEpigeneticManifold.anyLayoutViolation - -def -anyLayoutViolation - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.anyLayoutViolation - - -contains - - - -Semantics.Core.PathEpigeneticManifold.anyMissingReceipt - -def -anyMissingReceipt - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.anyMissingReceipt - - -contains - - - -Semantics.Core.PathEpigeneticManifold.anyQuarantineMarker - -def -anyQuarantineMarker - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.anyQuarantineMarker - - -contains - - - -Semantics.Core.PathEpigeneticManifold.decidePath - -def -decidePath - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.decidePath - - -contains - - - -Semantics.Core.PathEpigeneticManifold.runPath - -def -runPath - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.runPath - - -contains - - - -Semantics.Core.PathEpigeneticManifold.qSmall - -def -qSmall - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.qSmall - - -contains - - - -Semantics.Core.PathEpigeneticManifold.qMedium - -def -qMedium - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.qMedium - - -contains - - - -Semantics.Core.PathEpigeneticManifold.torsionSite - -def -torsionSite - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.torsionSite - - -contains - - - -Semantics.Core.PathEpigeneticManifold.dampResidualSite - -def -dampResidualSite - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.dampResidualSite - - -contains - - - -Semantics.Core.PathEpigeneticManifold.witnessSite - -def -witnessSite - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.witnessSite - - -contains - - - -Semantics.Core.PathEpigeneticManifold.missingReceiptSite - -def -missingReceiptSite - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.missingReceiptSite - - -contains - - - -Semantics.Core.PathEpigeneticManifold.layoutViolationSite - -def -layoutViolationSite - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.layoutViolationSite - - -contains - - - -Semantics.Core.PathEpigeneticManifold.admittedPath - -def -admittedPath - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.admittedPath - - -contains - - - -Semantics.Core.PathEpigeneticManifold.holdPath - -def -holdPath - - - -Semantics.Core.PathEpigeneticManifold->Semantics.Core.PathEpigeneticManifold.holdPath - - -contains - - - -Semantics.Core.QuantumFoamBoundary - -module -QuantumFoamBoundary - - - -Semantics.Core.QuantumFoamBoundary.exactZeroFixture_closes - -theorem -exactZeroFixture_closes - - - -Semantics.Core.QuantumFoamBoundary->Semantics.Core.QuantumFoamBoundary.exactZeroFixture_closes - - -contains - - - -Semantics.Core.QuantumFoamBoundary.foamJitterFixture_holds - -theorem -foamJitterFixture_holds - - - -Semantics.Core.QuantumFoamBoundary->Semantics.Core.QuantumFoamBoundary.foamJitterFixture_holds - - -contains - - - -Semantics.Core.QuantumFoamBoundary.outOfBandFixture_rejects - -theorem -outOfBandFixture_rejects - - - -Semantics.Core.QuantumFoamBoundary->Semantics.Core.QuantumFoamBoundary.outOfBandFixture_rejects - - -contains - - - -Semantics.Core.QuantumFoamBoundary.withinJitter - -def -withinJitter - - - -Semantics.Core.QuantumFoamBoundary->Semantics.Core.QuantumFoamBoundary.withinJitter - - -contains - - - -Semantics.Core.QuantumFoamBoundary.decideFoamBoundary - -def -decideFoamBoundary - - - -Semantics.Core.QuantumFoamBoundary->Semantics.Core.QuantumFoamBoundary.decideFoamBoundary - - -contains - - - -Semantics.Core.QuantumFoamBoundary.exactZeroFixture - -def -exactZeroFixture - - - -Semantics.Core.QuantumFoamBoundary->Semantics.Core.QuantumFoamBoundary.exactZeroFixture - - -contains - - - -Semantics.Core.QuantumFoamBoundary.foamJitterFixture - -def -foamJitterFixture - - - -Semantics.Core.QuantumFoamBoundary->Semantics.Core.QuantumFoamBoundary.foamJitterFixture - - -contains - - - -Semantics.Core.QuantumFoamBoundary.outOfBandFixture - -def -outOfBandFixture - - - -Semantics.Core.QuantumFoamBoundary->Semantics.Core.QuantumFoamBoundary.outOfBandFixture - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution - -module -S3CProjectedGeodesicResolution - - - -Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureImproves - -theorem -improvedFixtureImproves - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureImproves - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.decreasedFixtureDecreases - -theorem -decreasedFixtureDecreases - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.decreasedFixtureDecreases - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.holdFixtureHolds - -theorem -holdFixtureHolds - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.holdFixtureHolds - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.rejectFixtureRejects - -theorem -rejectFixtureRejects - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.rejectFixtureRejects - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.unchangedFixtureUnchanged - -theorem -unchangedFixtureUnchanged - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.unchangedFixtureUnchanged - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureBaselineScore - -theorem -improvedFixtureBaselineScore - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureBaselineScore - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureRefinedScore - -theorem -improvedFixtureRefinedScore - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureRefinedScore - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureReason - -theorem -improvedFixtureReason - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.improvedFixtureReason - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.decreasedFixtureReason - -theorem -decreasedFixtureReason - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.decreasedFixtureReason - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.unchangedFixtureReason - -theorem -unchangedFixtureReason - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.unchangedFixtureReason - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.baselineScore - -def -baselineScore - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.baselineScore - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.shortcutGain - -def -shortcutGain - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.shortcutGain - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.genus3Aligned - -def -genus3Aligned - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.genus3Aligned - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.foldedThroatAdmissible - -def -foldedThroatAdmissible - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.foldedThroatAdmissible - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.refinedScore - -def -refinedScore - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.refinedScore - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.resolutionBudget - -def -resolutionBudget - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.resolutionBudget - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.resolutionDelta - -def -resolutionDelta - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.resolutionDelta - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.compareScores - -def -compareScores - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.compareScores - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.decideResolution - -def -decideResolution - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.decideResolution - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.explainResolution - -def -explainResolution - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.explainResolution - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.improvedFixture - -def -improvedFixture - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.improvedFixture - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.decreasedFixture - -def -decreasedFixture - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.decreasedFixture - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.holdFixture - -def -holdFixture - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.holdFixture - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.rejectFixture - -def -rejectFixture - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.rejectFixture - - -contains - - - -Semantics.Core.S3CProjectedGeodesicResolution.unchangedFixture - -def -unchangedFixture - - - -Semantics.Core.S3CProjectedGeodesicResolution->Semantics.Core.S3CProjectedGeodesicResolution.unchangedFixture - - -contains - - - -Semantics.Core.UnderversePacket - -module -UnderversePacket - - - -Semantics.Core.UnderversePacket.mass_conservation_structural - -theorem -mass_conservation_structural - - - -Semantics.Core.UnderversePacket->Semantics.Core.UnderversePacket.mass_conservation_structural - - -contains - - - -Semantics.Core.UnderversePacket.AbsenceClass - -def -AbsenceClass - - - -Semantics.Core.UnderversePacket->Semantics.Core.UnderversePacket.AbsenceClass - - -contains - - - -Semantics.Core.UnderversePacket.minimalReceipt - -def -minimalReceipt - - - -Semantics.Core.UnderversePacket->Semantics.Core.UnderversePacket.minimalReceipt - - -contains - - - -Semantics.Core.UnderversePacket.failedBinding - -def -failedBinding - - - -Semantics.Core.UnderversePacket->Semantics.Core.UnderversePacket.failedBinding - - -contains - - - -Semantics.Core.UnderversePacket.isFixedPoint - -def -isFixedPoint - - - -Semantics.Core.UnderversePacket->Semantics.Core.UnderversePacket.isFixedPoint - - -contains - - - -Semantics.Core.UnderversePacket.isWardenActionable - -def -isWardenActionable - - - -Semantics.Core.UnderversePacket->Semantics.Core.UnderversePacket.isWardenActionable - - -contains - - - -Semantics.Core.UnderverseZeroLayer - -module -UnderverseZeroLayer - - - -Semantics.Core.UnderverseZeroLayer.genus3BalancedFixture_closes - -theorem -genus3BalancedFixture_closes - - - -Semantics.Core.UnderverseZeroLayer->Semantics.Core.UnderverseZeroLayer.genus3BalancedFixture_closes - - -contains - - - -Semantics.Core.UnderverseZeroLayer.missingReplayFixture_holds - -theorem -missingReplayFixture_holds - - - -Semantics.Core.UnderverseZeroLayer->Semantics.Core.UnderverseZeroLayer.missingReplayFixture_holds - - -contains - - - -Semantics.Core.UnderverseZeroLayer.nonzeroChargeFixture_rejects - -theorem -nonzeroChargeFixture_rejects - - - -Semantics.Core.UnderverseZeroLayer->Semantics.Core.UnderverseZeroLayer.nonzeroChargeFixture_rejects - - -contains - - - -Semantics.Core.UnderverseZeroLayer.netCharge - -def -netCharge - - - -Semantics.Core.UnderverseZeroLayer->Semantics.Core.UnderverseZeroLayer.netCharge - - -contains - - - -Semantics.Core.UnderverseZeroLayer.closesNeutral - -def -closesNeutral - - - -Semantics.Core.UnderverseZeroLayer->Semantics.Core.UnderverseZeroLayer.closesNeutral - - -contains - - - -Semantics.Core.UnderverseZeroLayer.genus3ZeroChargeEvent - -def -genus3ZeroChargeEvent - - - -Semantics.Core.UnderverseZeroLayer->Semantics.Core.UnderverseZeroLayer.genus3ZeroChargeEvent - - -contains - - - -Semantics.Core.UnderverseZeroLayer.decideZeroLayer - -def -decideZeroLayer - - - -Semantics.Core.UnderverseZeroLayer->Semantics.Core.UnderverseZeroLayer.decideZeroLayer - - -contains - - - -Semantics.Core.UnderverseZeroLayer.genus3BalancedFixture - -def -genus3BalancedFixture - - - -Semantics.Core.UnderverseZeroLayer->Semantics.Core.UnderverseZeroLayer.genus3BalancedFixture - - -contains - - - -Semantics.Core.UnderverseZeroLayer.missingReplayFixture - -def -missingReplayFixture - - - -Semantics.Core.UnderverseZeroLayer->Semantics.Core.UnderverseZeroLayer.missingReplayFixture - - -contains - - - -Semantics.Core.UnderverseZeroLayer.nonzeroChargeFixture - -def -nonzeroChargeFixture - - - -Semantics.Core.UnderverseZeroLayer->Semantics.Core.UnderverseZeroLayer.nonzeroChargeFixture - - -contains - - - -Semantics.CosmicStructure - -module -CosmicStructure - - - -Semantics.CosmicStructure.zoneBoundaryFluidity - -def -zoneBoundaryFluidity - - - -Semantics.CosmicStructure->Semantics.CosmicStructure.zoneBoundaryFluidity - - -contains - - - -Semantics.CosmicStructure.zoneDensityContrast - -def -zoneDensityContrast - - - -Semantics.CosmicStructure->Semantics.CosmicStructure.zoneDensityContrast - - -contains - - - -Semantics.CosmicStructure.zoneEmissionStrength - -def -zoneEmissionStrength - - - -Semantics.CosmicStructure->Semantics.CosmicStructure.zoneEmissionStrength - - -contains - - - -Semantics.CosmicStructure.cosmicSignatureOf - -def -cosmicSignatureOf - - - -Semantics.CosmicStructure->Semantics.CosmicStructure.cosmicSignatureOf - - -contains - - - -Semantics.CosmicStructure.classifyCosmicStability - -def -classifyCosmicStability - - - -Semantics.CosmicStructure->Semantics.CosmicStructure.classifyCosmicStability - - -contains - - - -Semantics.CosmicStructure.processCosmicTransition - -def -processCosmicTransition - - - -Semantics.CosmicStructure->Semantics.CosmicStructure.processCosmicTransition - - -contains - - - -Semantics.CosmicStructure.defaultHaloZone - -def -defaultHaloZone - - - -Semantics.CosmicStructure->Semantics.CosmicStructure.defaultHaloZone - - -contains - - - -Semantics.CosmicStructure.defaultCosmicStructure - -def -defaultCosmicStructure - - - -Semantics.CosmicStructure->Semantics.CosmicStructure.defaultCosmicStructure - - -contains - - - -Semantics.CosmicStructure->Semantics.PhysicsScalarBridge - - -imports - - - -Semantics.CostEffectiveVerification - -module -CostEffectiveVerification - - - -Semantics.CostEffectiveVerification.manifoldGroupsOntologicallyDifferentSystems - -theorem -manifoldGroupsOntologicallyDifferentSyst - - - -Semantics.CostEffectiveVerification->Semantics.CostEffectiveVerification.manifoldGroupsOntologicallyDifferentSystems - - -contains - - - -Semantics.CostEffectiveVerification.cheapestVerificationTarget - -theorem -cheapestVerificationTarget - - - -Semantics.CostEffectiveVerification->Semantics.CostEffectiveVerification.cheapestVerificationTarget - - -contains - - - -Semantics.CostEffectiveVerification.shareSameOperator - -def -shareSameOperator - - - -Semantics.CostEffectiveVerification->Semantics.CostEffectiveVerification.shareSameOperator - - -contains - - - -Semantics.CostEffectiveVerification.ontologicallyDifferent - -def -ontologicallyDifferent - - - -Semantics.CostEffectiveVerification->Semantics.CostEffectiveVerification.ontologicallyDifferent - - -contains - - - -Semantics.CostEffectiveVerification.groupByOperator - -def -groupByOperator - - - -Semantics.CostEffectiveVerification->Semantics.CostEffectiveVerification.groupByOperator - - -contains - - - -Semantics.CostEffectiveVerification.testHypothesis - -def -testHypothesis - - - -Semantics.CostEffectiveVerification->Semantics.CostEffectiveVerification.testHypothesis - - -contains - - - -Semantics.CouchFilterNormalization - -module -CouchFilterNormalization - - - -Semantics.CouchFilterNormalization->Semantics.AbelianSandpileRouting - - -imports - - - -Semantics.CouchFilterNormalization.couchGenomeAddress_eq - -theorem -couchGenomeAddress_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchGenomeAddress_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchGenomeAddress_range - -theorem -couchGenomeAddress_range - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchGenomeAddress_range - - -contains - - - -Semantics.CouchFilterNormalization.couchPISTWitness_admissible - -theorem -couchPISTWitness_admissible - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchPISTWitness_admissible - - -contains - - - -Semantics.CouchFilterNormalization.couchFNumber_kappa050_eq - -theorem -couchFNumber_kappa050_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchFNumber_kappa050_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchFNumber_kappa250_eq - -theorem -couchFNumber_kappa250_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchFNumber_kappa250_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchFNumber_fullSweep_eq - -theorem -couchFNumber_fullSweep_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchFNumber_fullSweep_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchFNumber_increases_kappa050_to_kappa250 - -theorem -couchFNumber_increases_kappa050_to_kappa - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchFNumber_increases_kappa050_to_kappa250 - - -contains - - - -Semantics.CouchFilterNormalization.couchFNumber_strictlyRisesAcrossSweep - -theorem -couchFNumber_strictlyRisesAcrossSweep - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchFNumber_strictlyRisesAcrossSweep - - -contains - - - -Semantics.CouchFilterNormalization.couchFNumber_kappa250_high - -theorem -couchFNumber_kappa250_high - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchFNumber_kappa250_high - - -contains - - - -Semantics.CouchFilterNormalization.couchFNumber_kappa050_not_high - -theorem -couchFNumber_kappa050_not_high - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchFNumber_kappa050_not_high - - -contains - - - -Semantics.CouchFilterNormalization.couchFNumber_highClassification_fullSweep - -theorem -couchFNumber_highClassification_fullSwee - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchFNumber_highClassification_fullSweep - - -contains - - - -Semantics.CouchFilterNormalization.couchURotated_kappa050_eq - -theorem -couchURotated_kappa050_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchURotated_kappa050_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchURotated_kappa250_eq - -theorem -couchURotated_kappa250_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchURotated_kappa250_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchURotated_fullSweep_eq - -theorem -couchURotated_fullSweep_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchURotated_fullSweep_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchURotated_increases_kappa050_to_kappa250 - -theorem -couchURotated_increases_kappa050_to_kapp - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchURotated_increases_kappa050_to_kappa250 - - -contains - - - -Semantics.CouchFilterNormalization.couchURotated_strictlyRisesAcrossSweep - -theorem -couchURotated_strictlyRisesAcrossSweep - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchURotated_strictlyRisesAcrossSweep - - -contains - - - -Semantics.CouchFilterNormalization.couchYAxisContainer_kappa050_eq - -theorem -couchYAxisContainer_kappa050_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchYAxisContainer_kappa050_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchYAxisContainer_kappa250_eq - -theorem -couchYAxisContainer_kappa250_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchYAxisContainer_kappa250_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchYAxisContainer_fullSweep_eq - -theorem -couchYAxisContainer_fullSweep_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchYAxisContainer_fullSweep_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchYAxisContainer_r_constant - -theorem -couchYAxisContainer_r_constant - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchYAxisContainer_r_constant - - -contains - - - -Semantics.CouchFilterNormalization.couchRoutePressure_fullSweep_eq - -theorem -couchRoutePressure_fullSweep_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchRoutePressure_fullSweep_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchRoutingMode_fullSweep_eq - -theorem -couchRoutingMode_fullSweep_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchRoutingMode_fullSweep_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchRoutingAction_fullSweep_eq - -theorem -couchRoutingAction_fullSweep_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchRoutingAction_fullSweep_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchForestGenome_eq - -theorem -couchForestGenome_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchForestGenome_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchNormalizedRouteMode_eq - -theorem -couchNormalizedRouteMode_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchNormalizedRouteMode_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchNormalizedRouteAction_eq - -theorem -couchNormalizedRouteAction_eq - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchNormalizedRouteAction_eq - - -contains - - - -Semantics.CouchFilterNormalization.couchCouplingSummary_sensitive - -theorem -couchCouplingSummary_sensitive - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchCouplingSummary_sensitive - - -contains - - - -Semantics.CouchFilterNormalization.couchAvgCurvature_kappa050_lt_kappa250 - -theorem -couchAvgCurvature_kappa050_lt_kappa250 - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchAvgCurvature_kappa050_lt_kappa250 - - -contains - - - -Semantics.CouchFilterNormalization.couchCurvatureSummary - -def -couchCurvatureSummary - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchCurvatureSummary - - -contains - - - -Semantics.CouchFilterNormalization.couchGenome - -def -couchGenome - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchGenome - - -contains - - - -Semantics.CouchFilterNormalization.couchGenomeAddress - -def -couchGenomeAddress - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchGenomeAddress - - -contains - - - -Semantics.CouchFilterNormalization.couchPISTWitness - -def -couchPISTWitness - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchPISTWitness - - -contains - - - -Semantics.CouchFilterNormalization.couchFNumberMilli - -def -couchFNumberMilli - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchFNumberMilli - - -contains - - - -Semantics.CouchFilterNormalization.couchHighFThresholdMilli - -def -couchHighFThresholdMilli - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchHighFThresholdMilli - - -contains - - - -Semantics.CouchFilterNormalization.isHighFNumberCouch - -def -isHighFNumberCouch - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.isHighFNumberCouch - - -contains - - - -Semantics.CouchFilterNormalization.couchKappaMilli - -def -couchKappaMilli - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchKappaMilli - - -contains - - - -Semantics.CouchFilterNormalization.couchURotatedMilli - -def -couchURotatedMilli - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchURotatedMilli - - -contains - - - -Semantics.CouchFilterNormalization.couchRValueConstantMilli - -def -couchRValueConstantMilli - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchRValueConstantMilli - - -contains - - - -Semantics.CouchFilterNormalization.couchYAxisContainer - -def -couchYAxisContainer - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchYAxisContainer - - -contains - - - -Semantics.CouchFilterNormalization.couchRoutePressureMilli - -def -couchRoutePressureMilli - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchRoutePressureMilli - - -contains - - - -Semantics.CouchFilterNormalization.couchAtlasThresholdMilli - -def -couchAtlasThresholdMilli - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchAtlasThresholdMilli - - -contains - - - -Semantics.CouchFilterNormalization.couchRejectThresholdMilli - -def -couchRejectThresholdMilli - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchRejectThresholdMilli - - -contains - - - -Semantics.CouchFilterNormalization.couchRoutingMode - -def -couchRoutingMode - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchRoutingMode - - -contains - - - -Semantics.CouchFilterNormalization.couchRoutingAction - -def -couchRoutingAction - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchRoutingAction - - -contains - - - -Semantics.CouchFilterNormalization.couchForestSignals - -def -couchForestSignals - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchForestSignals - - -contains - - - -Semantics.CouchFilterNormalization.couchNormalizedRouteMode - -def -couchNormalizedRouteMode - - - -Semantics.CouchFilterNormalization->Semantics.CouchFilterNormalization.couchNormalizedRouteMode - - -contains - - - -Semantics.CoulombComplexity - -module -CoulombComplexity - - - -Semantics.CoulombComplexity.likeChargesRepel - -theorem -likeChargesRepel - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.likeChargesRepel - - -contains - - - -Semantics.CoulombComplexity.oppositeChargesAttract - -theorem -oppositeChargesAttract - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.oppositeChargesAttract - - -contains - - - -Semantics.CoulombComplexity.neutralNodesNoForce - -theorem -neutralNodesNoForce - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.neutralNodesNoForce - - -contains - - - -Semantics.CoulombComplexity.Charge - -def -Charge - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.Charge - - -contains - - - -Semantics.CoulombComplexity.compute - -def -compute - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.compute - - -contains - - - -Semantics.CoulombComplexity.isPositive - -def -isPositive - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.isPositive - - -contains - - - -Semantics.CoulombComplexity.isNegative - -def -isNegative - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.isNegative - - -contains - - - -Semantics.CoulombComplexity.isNeutral - -def -isNeutral - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.isNeutral - - -contains - - - -Semantics.CoulombComplexity.absVal - -def -absVal - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.absVal - - -contains - - - -Semantics.CoulombComplexity.classify - -def -classify - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.classify - - -contains - - - -Semantics.CoulombComplexity.interactsAttractively - -def -interactsAttractively - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.interactsAttractively - - -contains - - - -Semantics.CoulombComplexity.interactsRepulsively - -def -interactsRepulsively - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.interactsRepulsively - - -contains - - - -Semantics.CoulombComplexity.coulombForce - -def -coulombForce - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.coulombForce - - -contains - - - -Semantics.CoulombComplexity.t5Distance - -def -t5Distance - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.t5Distance - - -contains - - - -Semantics.CoulombComplexity.create - -def -create - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.create - - -contains - - - -Semantics.CoulombComplexity.forceWith - -def -forceWith - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.forceWith - - -contains - - - -Semantics.CoulombComplexity.routingDecision - -def -routingDecision - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.routingDecision - - -contains - - - -Semantics.CoulombComplexity.default - -def -default - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.default - - -contains - - - -Semantics.CoulombComplexity.classifyPhase - -def -classifyPhase - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.classifyPhase - - -contains - - - -Semantics.CoulombComplexity.filterNodes - -def -filterNodes - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.filterNodes - - -contains - - - -Semantics.CoulombComplexity.empty - -def -empty - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.empty - - -contains - - - -Semantics.CoulombComplexity.shield - -def -shield - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.shield - - -contains - - - -Semantics.CoulombComplexity.isShielded - -def -isShielded - - - -Semantics.CoulombComplexity->Semantics.CoulombComplexity.isShielded - - -contains - - - -Semantics.CriticalityDynamics - -module -CriticalityDynamics - - - -Semantics.CriticalityDynamics.potentialOf - -def -potentialOf - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.potentialOf - - -contains - - - -Semantics.CriticalityDynamics.classifyPotentialRegime - -def -classifyPotentialRegime - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.classifyPotentialRegime - - -contains - - - -Semantics.CriticalityDynamics.siteUnstable - -def -siteUnstable - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.siteUnstable - - -contains - - - -Semantics.CriticalityDynamics.edgeActive - -def -edgeActive - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.edgeActive - - -contains - - - -Semantics.CriticalityDynamics.siteEdges - -def -siteEdges - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.siteEdges - - -contains - - - -Semantics.CriticalityDynamics.activeNeighborCount - -def -activeNeighborCount - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.activeNeighborCount - - -contains - - - -Semantics.CriticalityDynamics.redistributedLoadPerEdge - -def -redistributedLoadPerEdge - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.redistributedLoadPerEdge - - -contains - - - -Semantics.CriticalityDynamics.toppledLoad - -def -toppledLoad - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.toppledLoad - - -contains - - - -Semantics.CriticalityDynamics.remainingAfterTopple - -def -remainingAfterTopple - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.remainingAfterTopple - - -contains - - - -Semantics.CriticalityDynamics.classifyAvalancheClass - -def -classifyAvalancheClass - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.classifyAvalancheClass - - -contains - - - -Semantics.CriticalityDynamics.toppleStepOf - -def -toppleStepOf - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.toppleStepOf - - -contains - - - -Semantics.CriticalityDynamics.applyToppleToSite - -def -applyToppleToSite - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.applyToppleToSite - - -contains - - - -Semantics.CriticalityDynamics.receiveLoad - -def -receiveLoad - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.receiveLoad - - -contains - - - -Semantics.CriticalityDynamics.edgeContribution - -def -edgeContribution - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.edgeContribution - - -contains - - - -Semantics.CriticalityDynamics.findSite - -def -findSite - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.findSite - - -contains - - - -Semantics.CriticalityDynamics.rewriteSite - -def -rewriteSite - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.rewriteSite - - -contains - - - -Semantics.CriticalityDynamics.applyIncomingForEdge - -def -applyIncomingForEdge - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.applyIncomingForEdge - - -contains - - - -Semantics.CriticalityDynamics.distributeFromSite - -def -distributeFromSite - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.distributeFromSite - - -contains - - - -Semantics.CriticalityDynamics.firstUnstableSite - -def -firstUnstableSite - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.firstUnstableSite - - -contains - - - -Semantics.CriticalityDynamics.temporalPotentialBias - -def -temporalPotentialBias - - - -Semantics.CriticalityDynamics->Semantics.CriticalityDynamics.temporalPotentialBias - - -contains - - - -Semantics.CriticalityDynamics->Semantics.PhysicsScalarBridge - - -imports - - - -Semantics.CrossDimensionalFilter - -module -CrossDimensionalFilter - - - -Semantics.CrossDimensionalFilter.expansionDimensionCorrect - -theorem -expansionDimensionCorrect - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.expansionDimensionCorrect - - -contains - - - -Semantics.CrossDimensionalFilter.preservedPrimesUnderstood - -theorem -preservedPrimesUnderstood - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.preservedPrimesUnderstood - - -contains - - - -Semantics.CrossDimensionalFilter.spawnProducesN2 - -theorem -spawnProducesN2 - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.spawnProducesN2 - - -contains - - - -Semantics.CrossDimensionalFilter.allPrimesContained - -theorem -allPrimesContained - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.allPrimesContained - - -contains - - - -Semantics.CrossDimensionalFilter.filterAllContained - -theorem -filterAllContained - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.filterAllContained - - -contains - - - -Semantics.CrossDimensionalFilter.selfCommunicationPreservesAllPrimes - -theorem -selfCommunicationPreservesAllPrimes - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.selfCommunicationPreservesAllPrimes - - -contains - - - -Semantics.CrossDimensionalFilter.semanticPrimeCount - -def -semanticPrimeCount - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.semanticPrimeCount - - -contains - - - -Semantics.CrossDimensionalFilter.allSemanticPrimes - -def -allSemanticPrimes - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.allSemanticPrimes - - -contains - - - -Semantics.CrossDimensionalFilter.shellUnderstands - -def -shellUnderstands - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.shellUnderstands - - -contains - - - -Semantics.CrossDimensionalFilter.primeOverlap - -def -primeOverlap - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.primeOverlap - - -contains - - - -Semantics.CrossDimensionalFilter.overlapToScalar - -def -overlapToScalar - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.overlapToScalar - - -contains - - - -Semantics.CrossDimensionalFilter.reductionFilter - -def -reductionFilter - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.reductionFilter - - -contains - - - -Semantics.CrossDimensionalFilter.expansionFilter - -def -expansionFilter - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.expansionFilter - - -contains - - - -Semantics.CrossDimensionalFilter.sendCrossShell - -def -sendCrossShell - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.sendCrossShell - - -contains - - - -Semantics.CrossDimensionalFilter.receiveCrossShell - -def -receiveCrossShell - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.receiveCrossShell - - -contains - - - -Semantics.CrossDimensionalFilter.spawnSubShells - -def -spawnSubShells - - - -Semantics.CrossDimensionalFilter->Semantics.CrossDimensionalFilter.spawnSubShells - - -contains - - - -Semantics.CrossDomainOneOverN - -module -CrossDomainOneOverN - - - -Semantics.CrossDomainOneOverN.for - -theorem -for - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.for - - -contains - - - -Semantics.CrossDomainOneOverN.hydrogenRydbergFormulaN2N3 - -theorem -hydrogenRydbergFormulaN2N3 - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.hydrogenRydbergFormulaN2N3 - - -contains - - - -Semantics.CrossDomainOneOverN.fineStructureScalingN2 - -theorem -fineStructureScalingN2 - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.fineStructureScalingN2 - - -contains - - - -Semantics.CrossDomainOneOverN.qheLaughlinEdgeChannels - -theorem -qheLaughlinEdgeChannels - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.qheLaughlinEdgeChannels - - -contains - - - -Semantics.CrossDomainOneOverN.percolationCorrectionNonneg - -theorem -percolationCorrectionNonneg - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.percolationCorrectionNonneg - - -contains - - - -Semantics.CrossDomainOneOverN.brokenStick_hasOneOverN10 - -theorem -brokenStick_hasOneOverN10 - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.brokenStick_hasOneOverN10 - - -contains - - - -Semantics.CrossDomainOneOverN.rydbergDefectPositiveN50 - -theorem -rydbergDefectPositiveN50 - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.rydbergDefectPositiveN50 - - -contains - - - -Semantics.CrossDomainOneOverN.rydbergDefectMonotonicN50 - -theorem -rydbergDefectMonotonicN50 - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.rydbergDefectMonotonicN50 - - -contains - - - -Semantics.CrossDomainOneOverN.rydbergScalingSignatureN50 - -theorem -rydbergScalingSignatureN50 - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.rydbergScalingSignatureN50 - - -contains - - - -Semantics.CrossDomainOneOverN.rydbergQuantumDefect - -def -rydbergQuantumDefect - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.rydbergQuantumDefect - - -contains - - - -Semantics.CrossDomainOneOverN.qheEdgeChannels - -def -qheEdgeChannels - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.qheEdgeChannels - - -contains - - - -Semantics.CrossDomainOneOverN.percolationFiniteSizeCorrection - -def -percolationFiniteSizeCorrection - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.percolationFiniteSizeCorrection - - -contains - - - -Semantics.CrossDomainOneOverN.brokenStickFactor - -def -brokenStickFactor - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.brokenStickFactor - - -contains - - - -Semantics.CrossDomainOneOverN.luttingerCorrection - -def -luttingerCorrection - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.luttingerCorrection - - -contains - - - -Semantics.CrossDomainOneOverN.granularVoidCorrection - -def -granularVoidCorrection - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.granularVoidCorrection - - -contains - - - -Semantics.CrossDomainOneOverN.domainsWithOneOverNAnalogs - -def -domainsWithOneOverNAnalogs - - - -Semantics.CrossDomainOneOverN->Semantics.CrossDomainOneOverN.domainsWithOneOverNAnalogs - - -contains - - - -Semantics.CrossModalCompression - -module -CrossModalCompression - - - -Semantics.CrossModalCompression.crossModalGeneralizesSingleModal - -theorem -crossModalGeneralizesSingleModal - - - -Semantics.CrossModalCompression->Semantics.CrossModalCompression.crossModalGeneralizesSingleModal - - -contains - - - -Semantics.CrossModalCompression.alignmentHelpsWhenCoherent - -theorem -alignmentHelpsWhenCoherent - - - -Semantics.CrossModalCompression->Semantics.CrossModalCompression.alignmentHelpsWhenCoherent - - -contains - - - -Semantics.CrossModalCompression.dimensionality - -def -dimensionality - - - -Semantics.CrossModalCompression->Semantics.CrossModalCompression.dimensionality - - -contains - - - -Semantics.CrossModalCompression.name - -def -name - - - -Semantics.CrossModalCompression->Semantics.CrossModalCompression.name - - -contains - - - -Semantics.CrossModalCompression.sequenceStructureFusion - -def -sequenceStructureFusion - - - -Semantics.CrossModalCompression->Semantics.CrossModalCompression.sequenceStructureFusion - - -contains - - - -Semantics.CrossModalCompression.multiOmicsFusion - -def -multiOmicsFusion - - - -Semantics.CrossModalCompression->Semantics.CrossModalCompression.multiOmicsFusion - - -contains - - - -Semantics.CrossModalCompression.curvedDistance - -def -curvedDistance - - - -Semantics.CrossModalCompression->Semantics.CrossModalCompression.curvedDistance - - -contains - - - -Semantics.CrossModalCompression.alignmentField - -def -alignmentField - - - -Semantics.CrossModalCompression->Semantics.CrossModalCompression.alignmentField - - -contains - - - -Semantics.CrossModalCompression.modalityField - -def -modalityField - - - -Semantics.CrossModalCompression->Semantics.CrossModalCompression.modalityField - - -contains - - - -Semantics.CrossModalCompression.crossModalField - -def -crossModalField - - - -Semantics.CrossModalCompression->Semantics.CrossModalCompression.crossModalField - - -contains - - - -Semantics.CrossModalCompression.crossModalLoss - -def -crossModalLoss - - - -Semantics.CrossModalCompression->Semantics.CrossModalCompression.crossModalLoss - - -contains - - - -Semantics.CrossModalCompression.compressMultiModal - -def -compressMultiModal - - - -Semantics.CrossModalCompression->Semantics.CrossModalCompression.compressMultiModal - - -contains - - - -Semantics.Curvature - -module -Curvature - - - -Semantics.Curvature.wasserstein1Shim - -def -wasserstein1Shim - - - -Semantics.Curvature->Semantics.Curvature.wasserstein1Shim - - -contains - - - -Semantics.Curvature.ollivierRicciCurvature - -def -ollivierRicciCurvature - - - -Semantics.Curvature->Semantics.Curvature.ollivierRicciCurvature - - -contains - - - -Semantics.Curvature.intelligenceLadderMetric - -def -intelligenceLadderMetric - - - -Semantics.Curvature->Semantics.Curvature.intelligenceLadderMetric - - -contains - - - -Semantics.Curvature.isHighCognitiveCapacity - -def -isHighCognitiveCapacity - - - -Semantics.Curvature->Semantics.Curvature.isHighCognitiveCapacity - - -contains - - - -Semantics.Curvature.curvatureInvariant - -def -curvatureInvariant - - - -Semantics.Curvature->Semantics.Curvature.curvatureInvariant - - -contains - - - -Semantics.Curvature.curvatureCost - -def -curvatureCost - - - -Semantics.Curvature->Semantics.Curvature.curvatureCost - - -contains - - - -Semantics.Curvature.triangleNode0 - -def -triangleNode0 - - - -Semantics.Curvature->Semantics.Curvature.triangleNode0 - - -contains - - - -Semantics.Curvature.triangleNode1 - -def -triangleNode1 - - - -Semantics.Curvature->Semantics.Curvature.triangleNode1 - - -contains - - - -Semantics.Curvature.triangleNode2 - -def -triangleNode2 - - - -Semantics.Curvature->Semantics.Curvature.triangleNode2 - - -contains - - - -Semantics.Curvature.triangleGraphNodes - -def -triangleGraphNodes - - - -Semantics.Curvature->Semantics.Curvature.triangleGraphNodes - - -contains - - - -Semantics.Curvature.triangleGraphEdges - -def -triangleGraphEdges - - - -Semantics.Curvature->Semantics.Curvature.triangleGraphEdges - - -contains - - - -Semantics.Curvature.triangleGraph - -def -triangleGraph - - - -Semantics.Curvature->Semantics.Curvature.triangleGraph - - -contains - - - -Semantics.Curvature.uniformMeasureTriad - -def -uniformMeasureTriad - - - -Semantics.Curvature->Semantics.Curvature.uniformMeasureTriad - - -contains - - - -Semantics.Curvature.triangleCurvatureWitness - -def -triangleCurvatureWitness - - - -Semantics.Curvature->Semantics.Curvature.triangleCurvatureWitness - - -contains - - - -Semantics.DSPTranslation - -module -DSPTranslation - - - -Semantics.DSPTranslation.neuronCount - -def -neuronCount - - - -Semantics.DSPTranslation->Semantics.DSPTranslation.neuronCount - - -contains - - - -Semantics.DSPTranslation.featureDim - -def -featureDim - - - -Semantics.DSPTranslation->Semantics.DSPTranslation.featureDim - - -contains - - - -Semantics.DSPTranslation.decayFactor - -def -decayFactor - - - -Semantics.DSPTranslation->Semantics.DSPTranslation.decayFactor - - -contains - - - -Semantics.DSPTranslation.growthFactor - -def -growthFactor - - - -Semantics.DSPTranslation->Semantics.DSPTranslation.growthFactor - - -contains - - - -Semantics.DSPTranslation.advanceMatrixBatch - -def -advanceMatrixBatch - - - -Semantics.DSPTranslation->Semantics.DSPTranslation.advanceMatrixBatch - - -contains - - - -Semantics.DSPTranslation.geometricCost - -def -geometricCost - - - -Semantics.DSPTranslation->Semantics.DSPTranslation.geometricCost - - -contains - - - -Semantics.DSPTranslation.priorInvariant - -def -priorInvariant - - - -Semantics.DSPTranslation->Semantics.DSPTranslation.priorInvariant - - -contains - - - -Semantics.DSPTranslation.stateInvariant - -def -stateInvariant - - - -Semantics.DSPTranslation->Semantics.DSPTranslation.stateInvariant - - -contains - - - -Semantics.DSPTranslation.geometricBindEval - -def -geometricBindEval - - - -Semantics.DSPTranslation->Semantics.DSPTranslation.geometricBindEval - - -contains - - - -Semantics.DSPTranslation.verifyStdpDecay - -def -verifyStdpDecay - - - -Semantics.DSPTranslation->Semantics.DSPTranslation.verifyStdpDecay - - -contains - - - -Semantics.DecagonZetaCrossing - -module -DecagonZetaCrossing - - - -Semantics.DecagonZetaCrossing.decagonIdentity - -theorem -decagonIdentity - - - -Semantics.DecagonZetaCrossing->Semantics.DecagonZetaCrossing.decagonIdentity - - -contains - - - -Semantics.DecagonZetaCrossing.diagonalToSideRatio - -theorem -diagonalToSideRatio - - - -Semantics.DecagonZetaCrossing->Semantics.DecagonZetaCrossing.diagonalToSideRatio - - -contains - - - -Semantics.DecagonZetaCrossing.phi - -def -phi - - - -Semantics.DecagonZetaCrossing->Semantics.DecagonZetaCrossing.phi - - -contains - - - -Semantics.DecagonZetaCrossing.phiSquared - -def -phiSquared - - - -Semantics.DecagonZetaCrossing->Semantics.DecagonZetaCrossing.phiSquared - - -contains - - - -Semantics.DecagonZetaCrossing.decagonFromRadius - -def -decagonFromRadius - - - -Semantics.DecagonZetaCrossing->Semantics.DecagonZetaCrossing.decagonFromRadius - - -contains - - - -Semantics.DecagonZetaCrossing.decagonField - -def -decagonField - - - -Semantics.DecagonZetaCrossing->Semantics.DecagonZetaCrossing.decagonField - - -contains - - - -Semantics.DecagonZetaCrossing.firstPrimes - -def -firstPrimes - - - -Semantics.DecagonZetaCrossing->Semantics.DecagonZetaCrossing.firstPrimes - - -contains - - - -Semantics.DecagonZetaCrossing.decagonZetaEquation - -def -decagonZetaEquation - - - -Semantics.DecagonZetaCrossing->Semantics.DecagonZetaCrossing.decagonZetaEquation - - -contains - - - -Semantics.DecagonZetaCrossing.radiusToDiagonalExponent - -def -radiusToDiagonalExponent - - - -Semantics.DecagonZetaCrossing->Semantics.DecagonZetaCrossing.radiusToDiagonalExponent - - -contains - - - -Semantics.DecagonZetaCrossing.diagonalToSideExponent - -def -diagonalToSideExponent - - - -Semantics.DecagonZetaCrossing->Semantics.DecagonZetaCrossing.diagonalToSideExponent - - -contains - - - -Semantics.DecagonZetaCrossing.goldenDecagonFieldFromRadius - -def -goldenDecagonFieldFromRadius - - - -Semantics.DecagonZetaCrossing->Semantics.DecagonZetaCrossing.goldenDecagonFieldFromRadius - - -contains - - - -Semantics.DecagonZetaCrossing->Semantics.FixedPoint - - -imports - - - -Semantics.Decoder - -module -Decoder - - - -Semantics.Decoder.MachineState - -def -MachineState - - - -Semantics.Decoder->Semantics.Decoder.MachineState - - -contains - - - -Semantics.Decoder->Semantics.Decoder.MachineState - - -contains - - - -Semantics.Decoder->Semantics.Decoder.MachineState - - -contains - - - -Semantics.Decoder->Semantics.Decoder.MachineState - - -contains - - - -Semantics.Decoder.ioIn - -def -ioIn - - - -Semantics.Decoder->Semantics.Decoder.ioIn - - -contains - - - -Semantics.Decoder.ioOut - -def -ioOut - - - -Semantics.Decoder->Semantics.Decoder.ioOut - - -contains - - - -Semantics.Decoder.frustPrevX - -def -frustPrevX - - - -Semantics.Decoder->Semantics.Decoder.frustPrevX - - -contains - - - -Semantics.Decoder.frustAniso - -def -frustAniso - - - -Semantics.Decoder->Semantics.Decoder.frustAniso - - -contains - - - -Semantics.Decoder.frustResult - -def -frustResult - - - -Semantics.Decoder->Semantics.Decoder.frustResult - - -contains - - - -Semantics.Decoder.executeOp - -def -executeOp - - - -Semantics.Decoder->Semantics.Decoder.executeOp - - -contains - - - -Semantics.Decoder.interlockingEnergyPort - -def -interlockingEnergyPort - - - -Semantics.Decoder->Semantics.Decoder.interlockingEnergyPort - - -contains - - - -Semantics.Decoder.guardIntegrity - -def -guardIntegrity - - - -Semantics.Decoder->Semantics.Decoder.guardIntegrity - - -contains - - - -Semantics.Decoder.guardBandwidth - -def -guardBandwidth - - - -Semantics.Decoder->Semantics.Decoder.guardBandwidth - - -contains - - - -Semantics.Decomposition - -module -Decomposition - - - -Semantics.Decomposition->Semantics.Atoms - - -imports - - - -Semantics.Decomposition.faithful_decomposition_nonempty - -theorem -faithful_decomposition_nonempty - - - -Semantics.Decomposition->Semantics.Decomposition.faithful_decomposition_nonempty - - -contains - - - -Semantics.Decomposition.equivalent_decompositions_same_atoms - -theorem -equivalent_decompositions_same_atoms - - - -Semantics.Decomposition->Semantics.Decomposition.equivalent_decompositions_same_atoms - - -contains - - - -Semantics.Decomposition.AtomicDecomposition - -def -AtomicDecomposition - - - -Semantics.Decomposition->Semantics.Decomposition.AtomicDecomposition - - -contains - - - -Semantics.Decomposition->Semantics.Decomposition.AtomicDecomposition - - -contains - - - -Semantics.Decomposition.FaithfulDecomposition - -def -FaithfulDecomposition - - - -Semantics.Decomposition->Semantics.Decomposition.FaithfulDecomposition - - -contains - - - -Semantics.Decomposition.DecompositionEquivalent - -def -DecompositionEquivalent - - - -Semantics.Decomposition->Semantics.Decomposition.DecompositionEquivalent - - -contains - - - -Semantics.DeepSeekBudgetCalculator - -module -DeepSeekBudgetCalculator - - - -Semantics.DeepSeekBudgetCalculator.v4Flash - -def -v4Flash - - - -Semantics.DeepSeekBudgetCalculator->Semantics.DeepSeekBudgetCalculator.v4Flash - - -contains - - - -Semantics.DeepSeekBudgetCalculator.v4Pro - -def -v4Pro - - - -Semantics.DeepSeekBudgetCalculator->Semantics.DeepSeekBudgetCalculator.v4Pro - - -contains - - - -Semantics.DeepSeekBudgetCalculator.queryCost - -def -queryCost - - - -Semantics.DeepSeekBudgetCalculator->Semantics.DeepSeekBudgetCalculator.queryCost - - -contains - - - -Semantics.DeepSeekBudgetCalculator.workflowCost - -def -workflowCost - - - -Semantics.DeepSeekBudgetCalculator->Semantics.DeepSeekBudgetCalculator.workflowCost - - -contains - - - -Semantics.DeepSeekBudgetCalculator.workflowBreakdown - -def -workflowBreakdown - - - -Semantics.DeepSeekBudgetCalculator->Semantics.DeepSeekBudgetCalculator.workflowBreakdown - - -contains - - - -Semantics.DeepSeekBudgetCalculator.eveningReview - -def -eveningReview - - - -Semantics.DeepSeekBudgetCalculator->Semantics.DeepSeekBudgetCalculator.eveningReview - - -contains - - - -Semantics.DeepSeekBudgetCalculator.monthlyHobbyRocket - -def -monthlyHobbyRocket - - - -Semantics.DeepSeekBudgetCalculator->Semantics.DeepSeekBudgetCalculator.monthlyHobbyRocket - - -contains - - - -Semantics.DeepSeekBudgetCalculator.monthlyNoCachePessimistic - -def -monthlyNoCachePessimistic - - - -Semantics.DeepSeekBudgetCalculator->Semantics.DeepSeekBudgetCalculator.monthlyNoCachePessimistic - - -contains - - - -Semantics.DeepSeekBudgetCalculator.cacheHitWitness - -def -cacheHitWitness - - - -Semantics.DeepSeekBudgetCalculator->Semantics.DeepSeekBudgetCalculator.cacheHitWitness - - -contains - - - -Semantics.DefectMechanics - -module -DefectMechanics - - - -Semantics.DefectMechanics.defectAdmissibleOfBounds - -theorem -defectAdmissibleOfBounds - - - -Semantics.DefectMechanics->Semantics.DefectMechanics.defectAdmissibleOfBounds - - -contains - - - -Semantics.DefectMechanics.vacancyCountLeOccupancyBound - -theorem -vacancyCountLeOccupancyBound - - - -Semantics.DefectMechanics->Semantics.DefectMechanics.vacancyCountLeOccupancyBound - - -contains - - - -Semantics.DefectMechanics.compressionContractsVacancyCount - -theorem -compressionContractsVacancyCount - - - -Semantics.DefectMechanics->Semantics.DefectMechanics.compressionContractsVacancyCount - - -contains - - - -Semantics.DefectMechanics.distortionLeActuationBudget - -theorem -distortionLeActuationBudget - - - -Semantics.DefectMechanics->Semantics.DefectMechanics.distortionLeActuationBudget - - -contains - - - -Semantics.DefectMechanics.vacancyCovered - -def -vacancyCovered - - - -Semantics.DefectMechanics->Semantics.DefectMechanics.vacancyCovered - - -contains - - - -Semantics.DefectMechanics.distortionBounded - -def -distortionBounded - - - -Semantics.DefectMechanics->Semantics.DefectMechanics.distortionBounded - - -contains - - - -Semantics.DefectMechanics.defectBudgeted - -def -defectBudgeted - - - -Semantics.DefectMechanics->Semantics.DefectMechanics.defectBudgeted - - -contains - - - -Semantics.DefectMechanics.defectAdmissible - -def -defectAdmissible - - - -Semantics.DefectMechanics->Semantics.DefectMechanics.defectAdmissible - - -contains - - - -Semantics.DefectMechanics.witnessOfMechanical - -def -witnessOfMechanical - - - -Semantics.DefectMechanics->Semantics.DefectMechanics.witnessOfMechanical - - -contains - - - -Semantics.DefectMechanics.sampleDefectWitness - -def -sampleDefectWitness - - - -Semantics.DefectMechanics->Semantics.DefectMechanics.sampleDefectWitness - - -contains - - - -Semantics.DefectMechanics->Semantics.FixedPoint - - -imports - - - -Semantics.DegeneracyConversion - -module -DegeneracyConversion - - - -Semantics.DegeneracyConversion.index_conserved - -theorem -index_conserved - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.index_conserved - - -contains - - - -Semantics.DegeneracyConversion.gate_condition_decidable - -theorem -gate_condition_decidable - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.gate_condition_decidable - - -contains - - - -Semantics.DegeneracyConversion.kolmogorov_bound_by_km - -theorem -kolmogorov_bound_by_km - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.kolmogorov_bound_by_km - - -contains - - - -Semantics.DegeneracyConversion.kolmogorov_constant_within_packing_bound - -theorem -kolmogorov_constant_within_packing_bound - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.kolmogorov_constant_within_packing_bound - - -contains - - - -Semantics.DegeneracyConversion.hermitianQuadraticForm - -def -hermitianQuadraticForm - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.hermitianQuadraticForm - - -contains - - - -Semantics.DegeneracyConversion.matrixIndex - -def -matrixIndex - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.matrixIndex - - -contains - - - -Semantics.DegeneracyConversion.cokernelResidual - -def -cokernelResidual - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.cokernelResidual - - -contains - - - -Semantics.DegeneracyConversion.gateCondition - -def -gateCondition - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.gateCondition - - -contains - - - -Semantics.DegeneracyConversion.q16ExpNeg - -def -q16ExpNeg - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.q16ExpNeg - - -contains - - - -Semantics.DegeneracyConversion.jarzynskiThreshold - -def -jarzynskiThreshold - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.jarzynskiThreshold - - -contains - - - -Semantics.DegeneracyConversion.opeStructureConstant - -def -opeStructureConstant - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.opeStructureConstant - - -contains - - - -Semantics.DegeneracyConversion.scalingDimension - -def -scalingDimension - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.scalingDimension - - -contains - - - -Semantics.DegeneracyConversion.kolmogorovFourFifths - -def -kolmogorovFourFifths - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.kolmogorovFourFifths - - -contains - - - -Semantics.DegeneracyConversion.avmrStructureFunction - -def -avmrStructureFunction - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.avmrStructureFunction - - -contains - - - -Semantics.DegeneracyConversion.unifiedGateDecision - -def -unifiedGateDecision - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.unifiedGateDecision - - -contains - - - -Semantics.DegeneracyConversion.turbulenceToColor - -def -turbulenceToColor - - - -Semantics.DegeneracyConversion->Semantics.DegeneracyConversion.turbulenceToColor - - -contains - - - -Semantics.DegeneracyConversion->Semantics.FixedPoint - - -imports - - - -Semantics.DeltaGCLCompression - -module -DeltaGCLCompression - - - -Semantics.DeltaGCLCompression.computeDelta_identical - -theorem -computeDelta_identical - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.computeDelta_identical - - -contains - - - -Semantics.DeltaGCLCompression.computeDelta_different - -theorem -computeDelta_different - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.computeDelta_different - - -contains - - - -Semantics.DeltaGCLCompression.applyPTOSDictionary_length - -theorem -applyPTOSDictionary_length - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.applyPTOSDictionary_length - - -contains - - - -Semantics.DeltaGCLCompression.encodeCodon_unknown_length - -theorem -encodeCodon_unknown_length - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.encodeCodon_unknown_length - - -contains - - - -Semantics.DeltaGCLCompression.encodeToDeltaGCL_full_marker - -theorem -encodeToDeltaGCL_full_marker - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.encodeToDeltaGCL_full_marker - - -contains - - - -Semantics.DeltaGCLCompression.encodeToDeltaGCL_identical_marker - -theorem -encodeToDeltaGCL_identical_marker - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.encodeToDeltaGCL_identical_marker - - -contains - - - -Semantics.DeltaGCLCompression.compressionStats_reduction - -theorem -compressionStats_reduction - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.compressionStats_reduction - - -contains - - - -Semantics.DeltaGCLCompression.compressionStats_compressed_length - -theorem -compressionStats_compressed_length - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.compressionStats_compressed_length - - -contains - - - -Semantics.DeltaGCLCompression.ptos_compression_700x - -theorem -ptos_compression_700x - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.ptos_compression_700x - - -contains - - - -Semantics.DeltaGCLCompression.ptos_tsm_thermal_safety - -theorem -ptos_tsm_thermal_safety - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.ptos_tsm_thermal_safety - - -contains - - - -Semantics.DeltaGCLCompression.ptos_entropy_pruning - -theorem -ptos_entropy_pruning - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.ptos_entropy_pruning - - -contains - - - -Semantics.DeltaGCLCompression.gcl_evolution_preserves_isolation - -theorem -gcl_evolution_preserves_isolation - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.gcl_evolution_preserves_isolation - - -contains - - - -Semantics.DeltaGCLCompression.gcl_evolution_is_reversible - -theorem -gcl_evolution_is_reversible - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.gcl_evolution_is_reversible - - -contains - - - -Semantics.DeltaGCLCompression.gcl_evolution_is_bounded - -theorem -gcl_evolution_is_bounded - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.gcl_evolution_is_bounded - - -contains - - - -Semantics.DeltaGCLCompression.gcl_evolution_thermal_safety - -theorem -gcl_evolution_thermal_safety - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.gcl_evolution_thermal_safety - - -contains - - - -Semantics.DeltaGCLCompression.gcl_evolution_self_healing - -theorem -gcl_evolution_self_healing - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.gcl_evolution_self_healing - - -contains - - - -Semantics.DeltaGCLCompression.gcl_evolution_preserves_compression - -theorem -gcl_evolution_preserves_compression - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.gcl_evolution_preserves_compression - - -contains - - - -Semantics.DeltaGCLCompression.gcl_evolution_generation_bounded - -theorem -gcl_evolution_generation_bounded - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.gcl_evolution_generation_bounded - - -contains - - - -Semantics.DeltaGCLCompression.gcl_evolution_formally_verified - -theorem -gcl_evolution_formally_verified - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.gcl_evolution_formally_verified - - -contains - - - -Semantics.DeltaGCLCompression.angrySphinx_energy_asymmetry_exponential - -theorem -angrySphinx_energy_asymmetry_exponential - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.angrySphinx_energy_asymmetry_exponential - - -contains - - - -Semantics.DeltaGCLCompression.angrySphinx_gear_multiplicative - -theorem -angrySphinx_gear_multiplicative - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.angrySphinx_gear_multiplicative - - -contains - - - -Semantics.DeltaGCLCompression.angrySphinx_total_cost_product - -theorem -angrySphinx_total_cost_product - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.angrySphinx_total_cost_product - - -contains - - - -Semantics.DeltaGCLCompression.angrySphinx_nan_boundary_rejects - -theorem -angrySphinx_nan_boundary_rejects - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.angrySphinx_nan_boundary_rejects - - -contains - - - -Semantics.DeltaGCLCompression.angrySphinx_exponential_attack_infeasible - -theorem -angrySphinx_exponential_attack_infeasibl - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.angrySphinx_exponential_attack_infeasible - - -contains - - - -Semantics.DeltaGCLCompression.gcl_directive_core_protection - -theorem -gcl_directive_core_protection - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.gcl_directive_core_protection - - -contains - - - -Semantics.DeltaGCLCompression.gcl_directive_operator_only - -theorem -gcl_directive_operator_only - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.gcl_directive_operator_only - - -contains - - - -Semantics.DeltaGCLCompression.gcl_directive_audit_trail - -theorem -gcl_directive_audit_trail - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.gcl_directive_audit_trail - - -contains - - - -Semantics.DeltaGCLCompression.gcl_evolution_directive_containment - -theorem -gcl_evolution_directive_containment - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.gcl_evolution_directive_containment - - -contains - - - -Semantics.DeltaGCLCompression.triumvirate_builder_proposes - -theorem -triumvirate_builder_proposes - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.triumvirate_builder_proposes - - -contains - - - -Semantics.DeltaGCLCompression.triumvirate_judge_thermal_safety - -theorem -triumvirate_judge_thermal_safety - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.triumvirate_judge_thermal_safety - - -contains - - - -Semantics.DeltaGCLCompression.ptosLayerIndex - -def -ptosLayerIndex - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.ptosLayerIndex - - -contains - - - -Semantics.DeltaGCLCompression.ptosDomainIndex - -def -ptosDomainIndex - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.ptosDomainIndex - - -contains - - - -Semantics.DeltaGCLCompression.ptosTierIndex - -def -ptosTierIndex - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.ptosTierIndex - - -contains - - - -Semantics.DeltaGCLCompression.ptosConditionIndex - -def -ptosConditionIndex - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.ptosConditionIndex - - -contains - - - -Semantics.DeltaGCLCompression.ptosUnknown - -def -ptosUnknown - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.ptosUnknown - - -contains - - - -Semantics.DeltaGCLCompression.computeDelta - -def -computeDelta - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.computeDelta - - -contains - - - -Semantics.DeltaGCLCompression.applyPTOSDictionary - -def -applyPTOSDictionary - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.applyPTOSDictionary - - -contains - - - -Semantics.DeltaGCLCompression.shortCodonMap - -def -shortCodonMap - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.shortCodonMap - - -contains - - - -Semantics.DeltaGCLCompression.encodeCodon - -def -encodeCodon - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.encodeCodon - - -contains - - - -Semantics.DeltaGCLCompression.encodeToDeltaGCL - -def -encodeToDeltaGCL - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.encodeToDeltaGCL - - -contains - - - -Semantics.DeltaGCLCompression.compressionRatioSI - -def -compressionRatioSI - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.compressionRatioSI - - -contains - - - -Semantics.DeltaGCLCompression.compressionPercentage - -def -compressionPercentage - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.compressionPercentage - - -contains - - - -Semantics.DeltaGCLCompression.compressionStats - -def -compressionStats - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.compressionStats - - -contains - - - -Semantics.DeltaGCLCompression.encodePTOSWithCapability - -def -encodePTOSWithCapability - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.encodePTOSWithCapability - - -contains - - - -Semantics.DeltaGCLCompression.modelTypeFromPTOS - -def -modelTypeFromPTOS - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.modelTypeFromPTOS - - -contains - - - -Semantics.DeltaGCLCompression.applyGCLEvolution - -def -applyGCLEvolution - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.applyGCLEvolution - - -contains - - - -Semantics.DeltaGCLCompression.angrySphinxEnergyAsymmetry - -def -angrySphinxEnergyAsymmetry - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.angrySphinxEnergyAsymmetry - - -contains - - - -Semantics.DeltaGCLCompression.angrySphinxGearCost - -def -angrySphinxGearCost - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.angrySphinxGearCost - - -contains - - - -Semantics.DeltaGCLCompression.angrySphinxSolveCost - -def -angrySphinxSolveCost - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.angrySphinxSolveCost - - -contains - - - -Semantics.DeltaGCLCompression.angrySphinxNaNBoundary - -def -angrySphinxNaNBoundary - - - -Semantics.DeltaGCLCompression->Semantics.DeltaGCLCompression.angrySphinxNaNBoundary - - -contains - - - -Semantics.Diagnostics - -module -Diagnostics - - - -Semantics.Diagnostics.DiagnosticReport - -def -DiagnosticReport - - - -Semantics.Diagnostics->Semantics.Diagnostics.DiagnosticReport - - -contains - - - -Semantics.Diagnostics->Semantics.Diagnostics.DiagnosticReport - - -contains - - - -Semantics.Diagnostics->Semantics.Diagnostics.DiagnosticReport - - -contains - - - -Semantics.Diagnostics.KnitCondition - -def -KnitCondition - - - -Semantics.Diagnostics->Semantics.Diagnostics.KnitCondition - - -contains - - - -Semantics.Diagnostics.RigidCondition - -def -RigidCondition - - - -Semantics.Diagnostics->Semantics.Diagnostics.RigidCondition - - -contains - - - -Semantics.Diagnostics.CrntCondition - -def -CrntCondition - - - -Semantics.Diagnostics->Semantics.Diagnostics.CrntCondition - - -contains - - - -Semantics.Diagnostics.FlavorCondition - -def -FlavorCondition - - - -Semantics.Diagnostics->Semantics.Diagnostics.FlavorCondition - - -contains - - - -Semantics.Diagnostics.NeuroCondition - -def -NeuroCondition - - - -Semantics.Diagnostics->Semantics.Diagnostics.NeuroCondition - - -contains - - - -Semantics.Diagnostics.ENEDiagnostics - -def -ENEDiagnostics - - - -Semantics.Diagnostics->Semantics.Diagnostics.ENEDiagnostics - - -contains - - - -Semantics.Diagnostics.Graph - -def -Graph - - - -Semantics.Diagnostics->Semantics.Diagnostics.Graph - - -contains - - - -Semantics.Path - -module -Path - - - -Semantics.Diagnostics->Semantics.Path - - -imports - - - -Semantics.DiffusionSNRBias - -module -DiffusionSNRBias - - - -Semantics.DiffusionSNRBias.mul_le_mul_of_nonneg_right - -theorem -mul_le_mul_of_nonneg_right - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.mul_le_mul_of_nonneg_right - - -contains - - - -Semantics.DiffusionSNRBias.snrBoundedByModelParams - -theorem -snrBoundedByModelParams - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.snrBoundedByModelParams - - -contains - - - -Semantics.DiffusionSNRBias.zero - -def -zero - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.zero - - -contains - - - -Semantics.DiffusionSNRBias.one - -def -one - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.one - - -contains - - - -Semantics.DiffusionSNRBias.epsilon - -def -epsilon - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.epsilon - - -contains - - - -Semantics.DiffusionSNRBias.ofNat - -def -ofNat - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.ofNat - - -contains - - - -Semantics.DiffusionSNRBias.toFloat - -def -toFloat - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.toFloat - - -contains - - - -Semantics.DiffusionSNRBias.add - -def -add - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.add - - -contains - - - -Semantics.DiffusionSNRBias.sub - -def -sub - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.sub - - -contains - - - -Semantics.DiffusionSNRBias.mul - -def -mul - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.mul - - -contains - - - -Semantics.DiffusionSNRBias.div - -def -div - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.div - - -contains - - - -Semantics.DiffusionSNRBias.sqrt - -def -sqrt - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.sqrt - - -contains - - - -Semantics.DiffusionSNRBias.clip - -def -clip - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.clip - - -contains - - - -Semantics.DiffusionSNRBias.meanSquaredNorm - -def -meanSquaredNorm - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.meanSquaredNorm - - -contains - - - -Semantics.DiffusionSNRBias.fromSignalNoise - -def -fromSignalNoise - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.fromSignalNoise - - -contains - - - -Semantics.DiffusionSNRBias.lessThan - -def -lessThan - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.lessThan - - -contains - - - -Semantics.DiffusionSNRBias.detectBias - -def -detectBias - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.detectBias - - -contains - - - -Semantics.DiffusionSNRBias.differentialSignal - -def -differentialSignal - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.differentialSignal - - -contains - - - -Semantics.DiffusionSNRBias.differentialCorrection - -def -differentialCorrection - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.differentialCorrection - - -contains - - - -Semantics.DiffusionSNRBias.defaultLinear - -def -defaultLinear - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.defaultLinear - - -contains - - - -Semantics.DiffusionSNRBias.energyConservation - -def -energyConservation - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.energyConservation - - -contains - - - -Semantics.DiffusionSNRBias.evaluateCorrection - -def -evaluateCorrection - - - -Semantics.DiffusionSNRBias->Semantics.DiffusionSNRBias.evaluateCorrection - - -contains - - - -Semantics.DimensionalConsistency - -module -DimensionalConsistency - - - -Semantics.DimensionalConsistency.for - -theorem -for - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.for - - -contains - - - -Semantics.DimensionalConsistency.p04RequiresP0 - -theorem -p04RequiresP0 - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p04RequiresP0 - - -contains - - - -Semantics.DimensionalConsistency.p0RequiresP0 - -theorem -p0RequiresP0 - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p0RequiresP0 - - -contains - - - -Semantics.DimensionalConsistency.p01DoesNotRequireP0 - -theorem -p01DoesNotRequireP0 - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p01DoesNotRequireP0 - - -contains - - - -Semantics.DimensionalConsistency.countRequiresP0_correct - -theorem -countRequiresP0_correct - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.countRequiresP0_correct - - -contains - - - -Semantics.DimensionalConsistency.dimensionlessEntries_length - -theorem -dimensionlessEntries_length - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.dimensionlessEntries_length - - -contains - - - -Semantics.DimensionalConsistency.p04DimensionSourceIsFitted - -theorem -p04DimensionSourceIsFitted - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p04DimensionSourceIsFitted - - -contains - - - -Semantics.DimensionalConsistency.PhysicalDimension - -def -PhysicalDimension - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.PhysicalDimension - - -contains - - - -Semantics.DimensionalConsistency.DimensionSource - -def -DimensionSource - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.DimensionSource - - -contains - - - -Semantics.DimensionalConsistency.p01Dimensional - -def -p01Dimensional - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p01Dimensional - - -contains - - - -Semantics.DimensionalConsistency.p02Dimensional - -def -p02Dimensional - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p02Dimensional - - -contains - - - -Semantics.DimensionalConsistency.p03Dimensional - -def -p03Dimensional - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p03Dimensional - - -contains - - - -Semantics.DimensionalConsistency.p04Dimensional - -def -p04Dimensional - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p04Dimensional - - -contains - - - -Semantics.DimensionalConsistency.p05Dimensional - -def -p05Dimensional - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p05Dimensional - - -contains - - - -Semantics.DimensionalConsistency.p06Dimensional - -def -p06Dimensional - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p06Dimensional - - -contains - - - -Semantics.DimensionalConsistency.p07Dimensional - -def -p07Dimensional - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p07Dimensional - - -contains - - - -Semantics.DimensionalConsistency.p08Dimensional - -def -p08Dimensional - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p08Dimensional - - -contains - - - -Semantics.DimensionalConsistency.p09Dimensional - -def -p09Dimensional - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p09Dimensional - - -contains - - - -Semantics.DimensionalConsistency.p10Dimensional - -def -p10Dimensional - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p10Dimensional - - -contains - - - -Semantics.DimensionalConsistency.p11Dimensional - -def -p11Dimensional - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p11Dimensional - - -contains - - - -Semantics.DimensionalConsistency.p0ScaleFactor - -def -p0ScaleFactor - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.p0ScaleFactor - - -contains - - - -Semantics.DimensionalConsistency.allDimensionalEntries - -def -allDimensionalEntries - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.allDimensionalEntries - - -contains - - - -Semantics.DimensionalConsistency.countRequiresP0 - -def -countRequiresP0 - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.countRequiresP0 - - -contains - - - -Semantics.DimensionalConsistency.countDimensionless - -def -countDimensionless - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.countDimensionless - - -contains - - - -Semantics.DimensionalConsistency.dimensionlessEntries - -def -dimensionlessEntries - - - -Semantics.DimensionalConsistency->Semantics.DimensionalConsistency.dimensionlessEntries - - -contains - - - -Semantics.DiscreteContinuousBound - -module -DiscreteContinuousBound - - - -Semantics.DiscreteContinuousBound.A_entry_bound - -theorem -A_entry_bound - - - -Semantics.DiscreteContinuousBound->Semantics.DiscreteContinuousBound.A_entry_bound - - -contains - - - -Semantics.DiscreteContinuousBound.coupling_opNorm - -theorem -coupling_opNorm - - - -Semantics.DiscreteContinuousBound->Semantics.DiscreteContinuousBound.coupling_opNorm - - -contains - - - -Semantics.DiscreteContinuousBound.coupling_opNNNorm - -theorem -coupling_opNNNorm - - - -Semantics.DiscreteContinuousBound->Semantics.DiscreteContinuousBound.coupling_opNNNorm - - -contains - - - -Semantics.DiscreteContinuousBound.coupling_lipschitzWith - -theorem -coupling_lipschitzWith - - - -Semantics.DiscreteContinuousBound->Semantics.DiscreteContinuousBound.coupling_lipschitzWith - - -contains - - - -Semantics.DiscreteContinuousBound.norm_le_gronwallBound_of_coupling - -theorem -norm_le_gronwallBound_of_coupling - - - -Semantics.DiscreteContinuousBound->Semantics.DiscreteContinuousBound.norm_le_gronwallBound_of_coupling - - -contains - - - -Semantics.DiscreteContinuousBound.discrete_continuous_bound - -theorem -discrete_continuous_bound - - - -Semantics.DiscreteContinuousBound->Semantics.DiscreteContinuousBound.discrete_continuous_bound - - -contains - - - -Semantics.DiscreteContinuousBound.trajectory_dist_bound - -theorem -trajectory_dist_bound - - - -Semantics.DiscreteContinuousBound->Semantics.DiscreteContinuousBound.trajectory_dist_bound - - -contains - - - -Semantics.DiscreteContinuousBound.trajectory_dist_bound_univ - -theorem -trajectory_dist_bound_univ - - - -Semantics.DiscreteContinuousBound->Semantics.DiscreteContinuousBound.trajectory_dist_bound_univ - - -contains - - - -Semantics.DiscreteContinuousBound.M₀ - -def -M₀ - - - -Semantics.DiscreteContinuousBound->Semantics.DiscreteContinuousBound.M₀ - - -contains - - - -Semantics.DiscreteContinuousBound.A - -def -A - - - -Semantics.DiscreteContinuousBound->Semantics.DiscreteContinuousBound.A - - -contains - - - -Mathlib.Analysis.ODE.Gronwall - -mathlib -Mathlib.Analysis.ODE.Gronwall - - - -Semantics.DiscreteContinuousBound->Mathlib.Analysis.ODE.Gronwall - - -imports - - - -Semantics.DistributedTraining - -module -DistributedTraining - - - -Semantics.DistributedTraining.zero - -def -zero - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.zero - - -contains - - - -Semantics.DistributedTraining.one - -def -one - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.one - - -contains - - - -Semantics.DistributedTraining.ofNat - -def -ofNat - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.ofNat - - -contains - - - -Semantics.DistributedTraining.qfox - -def -qfox - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.qfox - - -contains - - - -Semantics.DistributedTraining.architect - -def -architect - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.architect - - -contains - - - -Semantics.DistributedTraining.judge - -def -judge - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.judge - - -contains - - - -Semantics.DistributedTraining.awsNode - -def -awsNode - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.awsNode - - -contains - - - -Semantics.DistributedTraining.netcupRouter - -def -netcupRouter - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.netcupRouter - - -contains - - - -Semantics.DistributedTraining.racknerdNode - -def -racknerdNode - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.racknerdNode - - -contains - - - -Semantics.DistributedTraining.allNodes - -def -allNodes - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.allNodes - - -contains - - - -Semantics.DistributedTraining.totalCores - -def -totalCores - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.totalCores - - -contains - - - -Semantics.DistributedTraining.totalRAM - -def -totalRAM - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.totalRAM - - -contains - - - -Semantics.DistributedTraining.totalStorage - -def -totalStorage - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.totalStorage - - -contains - - - -Semantics.DistributedTraining.gpuNodeCount - -def -gpuNodeCount - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.gpuNodeCount - - -contains - - - -Semantics.DistributedTraining.fromNodes - -def -fromNodes - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.fromNodes - - -contains - - - -Semantics.DistributedTraining.defaultResources - -def -defaultResources - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.defaultResources - - -contains - - - -Semantics.DistributedTraining.defaultConfiguration - -def -defaultConfiguration - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.defaultConfiguration - - -contains - - - -Semantics.DistributedTraining.naturalLanguageDataset - -def -naturalLanguageDataset - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.naturalLanguageDataset - - -contains - - - -Semantics.DistributedTraining.codingLanguageDataset - -def -codingLanguageDataset - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.codingLanguageDataset - - -contains - - - -Semantics.DistributedTraining.calculateAssignment - -def -calculateAssignment - - - -Semantics.DistributedTraining->Semantics.DistributedTraining.calculateAssignment - - -contains - - - -Semantics.DlessScalarField - -module -DlessScalarField - - - -Semantics.DlessScalarField.omega_positive - -theorem -omega_positive - - - -Semantics.DlessScalarField->Semantics.DlessScalarField.omega_positive - - -contains - - - -Semantics.DlessScalarField.warped_distance_monotonic - -theorem -warped_distance_monotonic - - - -Semantics.DlessScalarField->Semantics.DlessScalarField.warped_distance_monotonic - - -contains - - - -Semantics.DlessScalarField.combine_preserves_positivity - -theorem -combine_preserves_positivity - - - -Semantics.DlessScalarField->Semantics.DlessScalarField.combine_preserves_positivity - - -contains - - - -Semantics.DlessScalarField.omegaFromStatus - -def -omegaFromStatus - - - -Semantics.DlessScalarField->Semantics.DlessScalarField.omegaFromStatus - - -contains - - - -Semantics.DlessScalarField.omegaFromCrossRefs - -def -omegaFromCrossRefs - - - -Semantics.DlessScalarField->Semantics.DlessScalarField.omegaFromCrossRefs - - -contains - - - -Semantics.DlessScalarField.omegaFromComplexity - -def -omegaFromComplexity - - - -Semantics.DlessScalarField->Semantics.DlessScalarField.omegaFromComplexity - - -contains - - - -Semantics.DlessScalarField.combineOmega - -def -combineOmega - - - -Semantics.DlessScalarField->Semantics.DlessScalarField.combineOmega - - -contains - - - -Semantics.DlessScalarField.warpedDistance - -def -warpedDistance - - - -Semantics.DlessScalarField->Semantics.DlessScalarField.warpedDistance - - -contains - - - -Semantics.DlessScalarField.warpManifoldPoint - -def -warpManifoldPoint - - - -Semantics.DlessScalarField->Semantics.DlessScalarField.warpManifoldPoint - - -contains - - - -Semantics.DlessScalarField.computeEquationOmega - -def -computeEquationOmega - - - -Semantics.DlessScalarField->Semantics.DlessScalarField.computeEquationOmega - - -contains - - - -Semantics.DlessScalarField.createWarpedEquation - -def -createWarpedEquation - - - -Semantics.DlessScalarField->Semantics.DlessScalarField.createWarpedEquation - - -contains - - - -Semantics.DlessScalarField.omegaSearchResult - -def -omegaSearchResult - - - -Semantics.DlessScalarField->Semantics.DlessScalarField.omegaSearchResult - - -contains - - - -Semantics.DlessScalarField.sortOmegaResults - -def -sortOmegaResults - - - -Semantics.DlessScalarField->Semantics.DlessScalarField.sortOmegaResults - - -contains - - - -Semantics.DomainDetector - -module -DomainDetector - - - -Semantics.DomainDetector.for - -theorem -for - - - -Semantics.DomainDetector->Semantics.DomainDetector.for - - -contains - - - -Semantics.DomainDetector.zCanonical_isZDirect - -theorem -zCanonical_isZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.zCanonical_isZDirect - - -contains - - - -Semantics.DomainDetector.exactZ_isZDirect - -theorem -exactZ_isZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.exactZ_isZDirect - - -contains - - - -Semantics.DomainDetector.half_isNotZDirect - -theorem -half_isNotZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.half_isNotZDirect - - -contains - - - -Semantics.DomainDetector.nearZ_isZDirect - -theorem -nearZ_isZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.nearZ_isZDirect - - -contains - - - -Semantics.DomainDetector.outsideTolerance_isNotZDirect - -theorem -outsideTolerance_isNotZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.outsideTolerance_isNotZDirect - - -contains - - - -Semantics.DomainDetector.sweetSpotBoundaryLow - -theorem -sweetSpotBoundaryLow - - - -Semantics.DomainDetector->Semantics.DomainDetector.sweetSpotBoundaryLow - - -contains - - - -Semantics.DomainDetector.sweetSpotBoundaryHigh - -theorem -sweetSpotBoundaryHigh - - - -Semantics.DomainDetector->Semantics.DomainDetector.sweetSpotBoundaryHigh - - -contains - - - -Semantics.DomainDetector.sweetSpotMid - -theorem -sweetSpotMid - - - -Semantics.DomainDetector->Semantics.DomainDetector.sweetSpotMid - - -contains - - - -Semantics.DomainDetector.zeroError_notInSweetSpot - -theorem -zeroError_notInSweetSpot - - - -Semantics.DomainDetector->Semantics.DomainDetector.zeroError_notInSweetSpot - - -contains - - - -Semantics.DomainDetector.largeError_notInSweetSpot - -theorem -largeError_notInSweetSpot - - - -Semantics.DomainDetector->Semantics.DomainDetector.largeError_notInSweetSpot - - -contains - - - -Semantics.DomainDetector.speciesArea_isZDirect - -theorem -speciesArea_isZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.speciesArea_isZDirect - - -contains - - - -Semantics.DomainDetector.mott_isZDirect - -theorem -mott_isZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.mott_isZDirect - - -contains - - - -Semantics.DomainDetector.percolationBcc_isZDirect - -theorem -percolationBcc_isZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.percolationBcc_isZDirect - - -contains - - - -Semantics.DomainDetector.magneticNi_isZDirect - -theorem -magneticNi_isZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.magneticNi_isZDirect - - -contains - - - -Semantics.DomainDetector.fishingP5_notZDirect - -theorem -fishingP5_notZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.fishingP5_notZDirect - - -contains - - - -Semantics.DomainDetector.jupiter_notZDirect - -theorem -jupiter_notZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.jupiter_notZDirect - - -contains - - - -Semantics.DomainDetector.weakValue_notZDirect - -theorem -weakValue_notZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.weakValue_notZDirect - - -contains - - - -Semantics.DomainDetector.fineStructure_notZDirect - -theorem -fineStructure_notZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.fineStructure_notZDirect - - -contains - - - -Semantics.DomainDetector.darkEnergy_notZDirect - -theorem -darkEnergy_notZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.darkEnergy_notZDirect - - -contains - - - -Semantics.DomainDetector.correctionEligible_iff - -theorem -correctionEligible_iff - - - -Semantics.DomainDetector->Semantics.DomainDetector.correctionEligible_iff - - -contains - - - -Semantics.DomainDetector.example_correctable - -theorem -example_correctable - - - -Semantics.DomainDetector->Semantics.DomainDetector.example_correctable - - -contains - - - -Semantics.DomainDetector.example_notCorrectable_nonZDirect - -theorem -example_notCorrectable_nonZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.example_notCorrectable_nonZDirect - - -contains - - - -Semantics.DomainDetector.speciesArea_inSweetSpot - -theorem -speciesArea_inSweetSpot - - - -Semantics.DomainDetector->Semantics.DomainDetector.speciesArea_inSweetSpot - - -contains - - - -Semantics.DomainDetector.percolationBcc_inSweetSpot - -theorem -percolationBcc_inSweetSpot - - - -Semantics.DomainDetector->Semantics.DomainDetector.percolationBcc_inSweetSpot - - -contains - - - -Semantics.DomainDetector.cocrpt_inSweetSpot - -theorem -cocrpt_inSweetSpot - - - -Semantics.DomainDetector->Semantics.DomainDetector.cocrpt_inSweetSpot - - -contains - - - -Semantics.DomainDetector.mott_notInSweetSpot - -theorem -mott_notInSweetSpot - - - -Semantics.DomainDetector->Semantics.DomainDetector.mott_notInSweetSpot - - -contains - - - -Semantics.DomainDetector.detectorIsStructuralCriterion - -theorem -detectorIsStructuralCriterion - - - -Semantics.DomainDetector->Semantics.DomainDetector.detectorIsStructuralCriterion - - -contains - - - -Semantics.DomainDetector.allPredictionsClassified - -theorem -allPredictionsClassified - - - -Semantics.DomainDetector->Semantics.DomainDetector.allPredictionsClassified - - -contains - - - -Semantics.DomainDetector.detectorLimitation - -theorem -detectorLimitation - - - -Semantics.DomainDetector->Semantics.DomainDetector.detectorLimitation - - -contains - - - -Semantics.DomainDetector.zCanonical - -def -zCanonical - - - -Semantics.DomainDetector->Semantics.DomainDetector.zCanonical - - -contains - - - -Semantics.DomainDetector.zTolerance - -def -zTolerance - - - -Semantics.DomainDetector->Semantics.DomainDetector.zTolerance - - -contains - - - -Semantics.DomainDetector.sweetSpotLower - -def -sweetSpotLower - - - -Semantics.DomainDetector->Semantics.DomainDetector.sweetSpotLower - - -contains - - - -Semantics.DomainDetector.sweetSpotUpper - -def -sweetSpotUpper - - - -Semantics.DomainDetector->Semantics.DomainDetector.sweetSpotUpper - - -contains - - - -Semantics.DomainDetector.isZDirect - -def -isZDirect - - - -Semantics.DomainDetector->Semantics.DomainDetector.isZDirect - - -contains - - - -Semantics.DomainDetector.inSweetSpot - -def -inSweetSpot - - - -Semantics.DomainDetector->Semantics.DomainDetector.inSweetSpot - - -contains - - - -Semantics.DomainDetector.isCorrectable - -def -isCorrectable - - - -Semantics.DomainDetector->Semantics.DomainDetector.isCorrectable - - -contains - - - -Semantics.DomainKernel - -module -DomainKernel - - - -Semantics.DomainKernel.astroIsKernelReducible - -theorem -astroIsKernelReducible - - - -Semantics.DomainKernel->Semantics.DomainKernel.astroIsKernelReducible - - -contains - - - -Semantics.DomainKernel.neuralIsKernelReducible - -theorem -neuralIsKernelReducible - - - -Semantics.DomainKernel->Semantics.DomainKernel.neuralIsKernelReducible - - -contains - - - -Semantics.DomainKernel.maritimeIsKernelReducible - -theorem -maritimeIsKernelReducible - - - -Semantics.DomainKernel->Semantics.DomainKernel.maritimeIsKernelReducible - - -contains - - - -Semantics.DomainKernel.cellPatchAdmissible - -def -cellPatchAdmissible - - - -Semantics.DomainKernel->Semantics.DomainKernel.cellPatchAdmissible - - -contains - - - -Semantics.DomainKernel.stepKernel - -def -stepKernel - - - -Semantics.DomainKernel->Semantics.DomainKernel.stepKernel - - -contains - - - -Semantics.DomainKernel.toKernelInput - -def -toKernelInput - - - -Semantics.DomainKernel->Semantics.DomainKernel.toKernelInput - - -contains - - - -Semantics.DomainKernel.runDomainStep - -def -runDomainStep - - - -Semantics.DomainKernel->Semantics.DomainKernel.runDomainStep - - -contains - - - -Semantics.DomainKernel.astroAdapter - -def -astroAdapter - - - -Semantics.DomainKernel->Semantics.DomainKernel.astroAdapter - - -contains - - - -Semantics.DomainKernel.neuralAdapter - -def -neuralAdapter - - - -Semantics.DomainKernel->Semantics.DomainKernel.neuralAdapter - - -contains - - - -Semantics.DomainKernel.maritimeAdapter - -def -maritimeAdapter - - - -Semantics.DomainKernel->Semantics.DomainKernel.maritimeAdapter - - -contains - - - -Semantics.DomainKernel.varDimAdapter - -def -varDimAdapter - - - -Semantics.DomainKernel->Semantics.DomainKernel.varDimAdapter - - -contains - - - -Semantics.DomainKernel.runBenchmark - -def -runBenchmark - - - -Semantics.DomainKernel->Semantics.DomainKernel.runBenchmark - - -contains - - - -Semantics.DomainKernel.isKernelReducible - -def -isKernelReducible - - - -Semantics.DomainKernel->Semantics.DomainKernel.isKernelReducible - - -contains - - - -Semantics.DomainModelIntegration - -module -DomainModelIntegration - - - -Semantics.DomainModelIntegration.zero - -def -zero - - - -Semantics.DomainModelIntegration->Semantics.DomainModelIntegration.zero - - -contains - - - -Semantics.DomainModelIntegration.one - -def -one - - - -Semantics.DomainModelIntegration->Semantics.DomainModelIntegration.one - - -contains - - - -Semantics.DomainModelIntegration.ofNat - -def -ofNat - - - -Semantics.DomainModelIntegration->Semantics.DomainModelIntegration.ofNat - - -contains - - - -Semantics.DomainModelIntegration.toString - -def -toString - - - -Semantics.DomainModelIntegration->Semantics.DomainModelIntegration.toString - - -contains - - - -Semantics.DomainModelIntegration->Semantics.DomainModelIntegration.toString - - -contains - - - -Semantics.DomainModelIntegration.empty - -def -empty - - - -Semantics.DomainModelIntegration->Semantics.DomainModelIntegration.empty - - -contains - - - -Semantics.DomainModelIntegration.submitTask - -def -submitTask - - - -Semantics.DomainModelIntegration->Semantics.DomainModelIntegration.submitTask - - -contains - - - -Semantics.DomainModelIntegration.executeTask - -def -executeTask - - - -Semantics.DomainModelIntegration->Semantics.DomainModelIntegration.executeTask - - -contains - - - -Semantics.DomainModelIntegration.getTaskQueue - -def -getTaskQueue - - - -Semantics.DomainModelIntegration->Semantics.DomainModelIntegration.getTaskQueue - - -contains - - - -Semantics.DomainModelIntegration.updatePerformance - -def -updatePerformance - - - -Semantics.DomainModelIntegration->Semantics.DomainModelIntegration.updatePerformance - - -contains - - - -Semantics.DomainModelIntegration.createDomainExpert - -def -createDomainExpert - - - -Semantics.DomainModelIntegration->Semantics.DomainModelIntegration.createDomainExpert - - -contains - - - -Semantics.DomainRegistryAlignment - -module -DomainRegistryAlignment - - - -Semantics.DomainRegistryAlignment.alignDomain - -def -alignDomain - - - -Semantics.DomainRegistryAlignment->Semantics.DomainRegistryAlignment.alignDomain - - -contains - - - -Semantics.DomainRegistryAlignment.reverseAlignDomain - -def -reverseAlignDomain - - - -Semantics.DomainRegistryAlignment->Semantics.DomainRegistryAlignment.reverseAlignDomain - - -contains - - - -Semantics.DomainRegistryAlignment.domainsCompatible - -def -domainsCompatible - - - -Semantics.DomainRegistryAlignment->Semantics.DomainRegistryAlignment.domainsCompatible - - -contains - - - -Semantics.DomainRegistryAlignment.alignmentIsBidirectional - -def -alignmentIsBidirectional - - - -Semantics.DomainRegistryAlignment->Semantics.DomainRegistryAlignment.alignmentIsBidirectional - - -contains - - - -Semantics.DomainRegistryAlignment.countMappingsToMOIM - -def -countMappingsToMOIM - - - -Semantics.DomainRegistryAlignment->Semantics.DomainRegistryAlignment.countMappingsToMOIM - - -contains - - - -Semantics.DomainRegistryAlignment.bidirectionalCoverage - -def -bidirectionalCoverage - - - -Semantics.DomainRegistryAlignment->Semantics.DomainRegistryAlignment.bidirectionalCoverage - - -contains - - - -Semantics.DomainState - -module -DomainState - - - -Semantics.DomainState.computeDomainChristoffel - -def -computeDomainChristoffel - - - -Semantics.DomainState->Semantics.DomainState.computeDomainChristoffel - - -contains - - - -Semantics.DomainState.domainCos - -def -domainCos - - - -Semantics.DomainState->Semantics.DomainState.domainCos - - -contains - - - -Semantics.DomainState.computeDomainFrustration - -def -computeDomainFrustration - - - -Semantics.DomainState->Semantics.DomainState.computeDomainFrustration - - -contains - - - -Semantics.DomainState.computeDomainLockingEnergy - -def -computeDomainLockingEnergy - - - -Semantics.DomainState->Semantics.DomainState.computeDomainLockingEnergy - - -contains - - - -Semantics.DomainState.updateDomainStateFromGeometry - -def -updateDomainStateFromGeometry - - - -Semantics.DomainState->Semantics.DomainState.updateDomainStateFromGeometry - - -contains - - - -Semantics.DomainState.updateDomainStateFromChristoffel - -def -updateDomainStateFromChristoffel - - - -Semantics.DomainState->Semantics.DomainState.updateDomainStateFromChristoffel - - -contains - - - -Semantics.DrexlerianMechanosynthesis - -module -DrexlerianMechanosynthesis - - - -Semantics.DrexlerianMechanosynthesis.computeTunnelingCurrent - -def -computeTunnelingCurrent - - - -Semantics.DrexlerianMechanosynthesis->Semantics.DrexlerianMechanosynthesis.computeTunnelingCurrent - - -contains - - - -Semantics.DrexlerianMechanosynthesis.computeDecayConstant - -def -computeDecayConstant - - - -Semantics.DrexlerianMechanosynthesis->Semantics.DrexlerianMechanosynthesis.computeDecayConstant - - -contains - - - -Semantics.DrexlerianMechanosynthesis.morseEvaluate - -def -morseEvaluate - - - -Semantics.DrexlerianMechanosynthesis->Semantics.DrexlerianMechanosynthesis.morseEvaluate - - -contains - - - -Semantics.DrexlerianMechanosynthesis.morseForce - -def -morseForce - - - -Semantics.DrexlerianMechanosynthesis->Semantics.DrexlerianMechanosynthesis.morseForce - - -contains - - - -Semantics.DrexlerianMechanosynthesis.computeReactionRate - -def -computeReactionRate - - - -Semantics.DrexlerianMechanosynthesis->Semantics.DrexlerianMechanosynthesis.computeReactionRate - - -contains - - - -Semantics.DrexlerianMechanosynthesis.criticalForce - -def -criticalForce - - - -Semantics.DrexlerianMechanosynthesis->Semantics.DrexlerianMechanosynthesis.criticalForce - - -contains - - - -Semantics.DrexlerianMechanosynthesis.atomicToNuclear - -def -atomicToNuclear - - - -Semantics.DrexlerianMechanosynthesis->Semantics.DrexlerianMechanosynthesis.atomicToNuclear - - -contains - - - -Semantics.DrexlerianMechanosynthesis.c2_dimer - -def -c2_dimer - - - -Semantics.DrexlerianMechanosynthesis->Semantics.DrexlerianMechanosynthesis.c2_dimer - - -contains - - - -Semantics.DrexlerianMechanosynthesis.si_c_bond - -def -si_c_bond - - - -Semantics.DrexlerianMechanosynthesis->Semantics.DrexlerianMechanosynthesis.si_c_bond - - -contains - - - -Semantics.DrexlerianMechanosynthesis.testTunnel - -def -testTunnel - - - -Semantics.DrexlerianMechanosynthesis->Semantics.DrexlerianMechanosynthesis.testTunnel - - -contains - - - -Semantics.DrexlerianMechanosynthesis.testBEP - -def -testBEP - - - -Semantics.DrexlerianMechanosynthesis->Semantics.DrexlerianMechanosynthesis.testBEP - - -contains - - - -Semantics.DspErasureCoding - -module -DspErasureCoding - - - -Semantics.DspErasureCoding.identityPermutationInverse - -theorem -identityPermutationInverse - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.identityPermutationInverse - - -contains - - - -Semantics.DspErasureCoding.validSchemeCoprime - -theorem -validSchemeCoprime - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.validSchemeCoprime - - -contains - - - -Semantics.DspErasureCoding.recoveryIsAverage - -theorem -recoveryIsAverage - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.recoveryIsAverage - - -contains - - - -Semantics.DspErasureCoding.erasureThresholdMonotonic - -theorem -erasureThresholdMonotonic - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.erasureThresholdMonotonic - - -contains - - - -Semantics.DspErasureCoding.isCoprime - -def -isCoprime - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.isCoprime - - -contains - - - -Semantics.DspErasureCoding.isValidScheme - -def -isValidScheme - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.isValidScheme - - -contains - - - -Semantics.DspErasureCoding.affinePerm - -def -affinePerm - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.affinePerm - - -contains - - - -Semantics.DspErasureCoding.affinePermInv - -def -affinePermInv - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.affinePermInv - - -contains - - - -Semantics.DspErasureCoding.buildPrimaryStream - -def -buildPrimaryStream - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.buildPrimaryStream - - -contains - - - -Semantics.DspErasureCoding.buildRecoveryStream1 - -def -buildRecoveryStream1 - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.buildRecoveryStream1 - - -contains - - - -Semantics.DspErasureCoding.buildRecoveryStream2 - -def -buildRecoveryStream2 - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.buildRecoveryStream2 - - -contains - - - -Semantics.DspErasureCoding.buildStreamBundle - -def -buildStreamBundle - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.buildStreamBundle - - -contains - - - -Semantics.DspErasureCoding.detectErasureSpectral - -def -detectErasureSpectral - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.detectErasureSpectral - - -contains - - - -Semantics.DspErasureCoding.detectErasureThreshold - -def -detectErasureThreshold - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.detectErasureThreshold - - -contains - - - -Semantics.DspErasureCoding.fetchSample - -def -fetchSample - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.fetchSample - - -contains - - - -Semantics.DspErasureCoding.recoverSample - -def -recoverSample - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.recoverSample - - -contains - - - -Semantics.DspErasureCoding.recoverBlock - -def -recoverBlock - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.recoverBlock - - -contains - - - -Semantics.DspErasureCoding.modeToOpcode - -def -modeToOpcode - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.modeToOpcode - - -contains - - - -Semantics.DspErasureCoding.exampleScheme - -def -exampleScheme - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.exampleScheme - - -contains - - - -Semantics.DspErasureCoding.exampleBlock - -def -exampleBlock - - - -Semantics.DspErasureCoding->Semantics.DspErasureCoding.exampleBlock - - -contains - - - -Semantics.DynamicCanal - -module -DynamicCanal - - - -Semantics.DynamicCanal.isqrt_spec - -theorem -isqrt_spec - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.isqrt_spec - - -contains - - - -Semantics.DynamicCanal.Q16_16 - -theorem -Q16_16 - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.Q16_16 - - -contains - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.Q16_16 - - -contains - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.Q16_16 - - -contains - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.Q16_16 - - -contains - - - -Semantics.DynamicCanal.dynamicCanalLambda_total - -theorem -dynamicCanalLambda_total - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.dynamicCanalLambda_total - - -contains - - - -Semantics.DynamicCanal.stepLane_total - -theorem -stepLane_total - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.stepLane_total - - -contains - - - -Semantics.DynamicCanal.stepSection_total - -theorem -stepSection_total - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.stepSection_total - - -contains - - - -Semantics.DynamicCanal.zero - -def -zero - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.zero - - -contains - - - -Semantics.DynamicCanal.one - -def -one - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.one - - -contains - - - -Semantics.DynamicCanal.epsilon - -def -epsilon - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.epsilon - - -contains - - - -Semantics.DynamicCanal.abs - -def -abs - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.abs - - -contains - - - -Semantics.DynamicCanal.add - -def -add - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.add - - -contains - - - -Semantics.DynamicCanal.sub - -def -sub - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.sub - - -contains - - - -Semantics.DynamicCanal.mul - -def -mul - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.mul - - -contains - - - -Semantics.DynamicCanal.div - -def -div - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.div - - -contains - - - -Semantics.DynamicCanal.sqrt - -def -sqrt - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.sqrt - - -contains - - - -Semantics.DynamicCanal.max - -def -max - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.max - - -contains - - - -Semantics.DynamicCanal.sat01 - -def -sat01 - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.sat01 - - -contains - - - -Semantics.DynamicCanal.ofInt - -def -ofInt - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.ofInt - - -contains - - - -Semantics.DynamicCanal.ofNat - -def -ofNat - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.ofNat - - -contains - - - -Semantics.DynamicCanal.toInt - -def -toInt - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.toInt - - -contains - - - -Semantics.DynamicCanal.ofFloat - -def -ofFloat - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.ofFloat - - -contains - - - -Semantics.DynamicCanal.toFloat - -def -toFloat - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.toFloat - - -contains - - - -Semantics.DynamicCanal.neg - -def -neg - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.neg - - -contains - - - -Semantics.DynamicCanal.mk - -def -mk - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.mk - - -contains - - - -Semantics.DynamicCanal.VecN - -def -VecN - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.VecN - - -contains - - - -Semantics.DynamicCanal.vecAdd - -def -vecAdd - - - -Semantics.DynamicCanal->Semantics.DynamicCanal.vecAdd - - -contains - - - -Semantics.E8RRCAnalysis - -module -E8RRCAnalysis - - - -Semantics.E8RRCAnalysis.computationalVerificationFixture - -def -computationalVerificationFixture - - - -Semantics.E8RRCAnalysis->Semantics.E8RRCAnalysis.computationalVerificationFixture - - -contains - - - -Semantics.E8RRCAnalysis.multiplicativityApproachFixture - -def -multiplicativityApproachFixture - - - -Semantics.E8RRCAnalysis->Semantics.E8RRCAnalysis.multiplicativityApproachFixture - - -contains - - - -Semantics.E8RRCAnalysis.e8LevelSetFixture - -def -e8LevelSetFixture - - - -Semantics.E8RRCAnalysis->Semantics.E8RRCAnalysis.e8LevelSetFixture - - -contains - - - -Semantics.E8RRCAnalysis.modularFormsFixture - -def -modularFormsFixture - - - -Semantics.E8RRCAnalysis->Semantics.E8RRCAnalysis.modularFormsFixture - - -contains - - - -Semantics.E8RRCAnalysis.smoothNumberDensityFixture - -def -smoothNumberDensityFixture - - - -Semantics.E8RRCAnalysis->Semantics.E8RRCAnalysis.smoothNumberDensityFixture - - -contains - - - -Semantics.E8RRCAnalysis.e8ApproachCorpus - -def -e8ApproachCorpus - - - -Semantics.E8RRCAnalysis->Semantics.E8RRCAnalysis.e8ApproachCorpus - - -contains - - - -Semantics.E8RRCAnalysis.analyzeE8Alignments - -def -analyzeE8Alignments - - - -Semantics.E8RRCAnalysis->Semantics.E8RRCAnalysis.analyzeE8Alignments - - -contains - - - -Semantics.E8RRCAnalysis.rankE8Approaches - -def -rankE8Approaches - - - -Semantics.E8RRCAnalysis->Semantics.E8RRCAnalysis.rankE8Approaches - - -contains - - - -Semantics.E8RRCAnalysis.strategicRecommendations - -def -strategicRecommendations - - - -Semantics.E8RRCAnalysis->Semantics.E8RRCAnalysis.strategicRecommendations - - -contains - - - -Semantics.E8RRCAnalysis.validateRRCMathematicalAlignment - -def -validateRRCMathematicalAlignment - - - -Semantics.E8RRCAnalysis->Semantics.E8RRCAnalysis.validateRRCMathematicalAlignment - - -contains - - - -Semantics.E8RRCAnalysis.criticalPathAnalysis - -def -criticalPathAnalysis - - - -Semantics.E8RRCAnalysis->Semantics.E8RRCAnalysis.criticalPathAnalysis - - -contains - - - -Semantics.E8RRCAnalysis.testE8RRCAnalysis - -def -testE8RRCAnalysis - - - -Semantics.E8RRCAnalysis->Semantics.E8RRCAnalysis.testE8RRCAnalysis - - -contains - - - -Semantics.E8Sidon - -module -E8Sidon - - - -Semantics.E8Sidon->Mathlib.Data.Finset.Basic - - -imports - - - -Semantics.E8Sidon.e8_root_split - -theorem -e8_root_split - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_root_split - - -contains - - - -Semantics.E8Sidon.e8_coxeter_relation - -theorem -e8_coxeter_relation - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_coxeter_relation - - -contains - - - -Semantics.E8Sidon.e8_coxeter_near_singer - -theorem -e8_coxeter_near_singer - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_coxeter_near_singer - - -contains - - - -Semantics.E8Sidon.sigma3_one - -theorem -sigma3_one - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigma3_one - - -contains - - - -Semantics.E8Sidon.sigma7_one - -theorem -sigma7_one - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigma7_one - - -contains - - - -Semantics.E8Sidon.sigma3_ne_zero - -theorem -sigma3_ne_zero - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigma3_ne_zero - - -contains - - - -Semantics.E8Sidon.sigma7_ne_zero - -theorem -sigma7_ne_zero - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigma7_ne_zero - - -contains - - - -Semantics.E8Sidon.sigma3_prime - -theorem -sigma3_prime - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigma3_prime - - -contains - - - -Semantics.E8Sidon.sigma7_prime - -theorem -sigma7_prime - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigma7_prime - - -contains - - - -Semantics.E8Sidon.sigma3_dvd_le - -theorem -sigma3_dvd_le - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigma3_dvd_le - - -contains - - - -Semantics.E8Sidon.sigma7_dvd_le - -theorem -sigma7_dvd_le - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigma7_dvd_le - - -contains - - - -Semantics.E8Sidon.sigma3_prime_lt - -theorem -sigma3_prime_lt - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigma3_prime_lt - - -contains - - - -Semantics.E8Sidon.sigma3_multiplicative - -theorem -sigma3_multiplicative - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigma3_multiplicative - - -contains - - - -Semantics.E8Sidon.sigma7_multiplicative - -theorem -sigma7_multiplicative - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigma7_multiplicative - - -contains - - - -Semantics.E8Sidon.e8_conv_n2 - -theorem -e8_conv_n2 - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_conv_n2 - - -contains - - - -Semantics.E8Sidon.e8_conv_n3 - -theorem -e8_conv_n3 - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_conv_n3 - - -contains - - - -Semantics.E8Sidon.e8_conv_n4 - -theorem -e8_conv_n4 - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_conv_n4 - - -contains - - - -Semantics.E8Sidon.e8_conv_n5 - -theorem -e8_conv_n5 - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_conv_n5 - - -contains - - - -Semantics.E8Sidon.e8_conv_n10 - -theorem -e8_conv_n10 - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_conv_n10 - - -contains - - - -Semantics.E8Sidon.e8_conv_n20 - -theorem -e8_conv_n20 - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_conv_n20 - - -contains - - - -Semantics.E8Sidon.e8_conv_n50 - -theorem -e8_conv_n50 - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_conv_n50 - - -contains - - - -Semantics.E8Sidon.e8_conv_n100 - -theorem -e8_conv_n100 - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_conv_n100 - - -contains - - - -Semantics.E8Sidon.sigma3_le_sigma7 - -theorem -sigma3_le_sigma7 - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigma3_le_sigma7 - - -contains - - - -Semantics.E8Sidon.e8_convolution - -theorem -e8_convolution - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_convolution - - -contains - - - -Semantics.E8Sidon.e8_conv_batch - -theorem -e8_conv_batch - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_conv_batch - - -contains - - - -Semantics.E8Sidon.e8_conv_nonneg - -theorem -e8_conv_nonneg - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_conv_nonneg - - -contains - - - -Semantics.E8Sidon.e8_conv_le_sigma7 - -theorem -e8_conv_le_sigma7 - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8_conv_le_sigma7 - - -contains - - - -Semantics.E8Sidon.sq_le_two_mul - -theorem -sq_le_two_mul - - - -Semantics.E8Sidon->Semantics.E8Sidon.sq_le_two_mul - - -contains - - - -Semantics.E8Sidon.fiber_partition - -theorem -fiber_partition - - - -Semantics.E8Sidon->Semantics.E8Sidon.fiber_partition - - -contains - - - -Semantics.E8Sidon.sidon_fiber_le_two - -theorem -sidon_fiber_le_two - - - -Semantics.E8Sidon->Semantics.E8Sidon.sidon_fiber_le_two - - -contains - - - -Semantics.E8Sidon.e8RootCount - -def -e8RootCount - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8RootCount - - -contains - - - -Semantics.E8Sidon.e8PositiveRoots - -def -e8PositiveRoots - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8PositiveRoots - - -contains - - - -Semantics.E8Sidon.e8DualCoxeter - -def -e8DualCoxeter - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8DualCoxeter - - -contains - - - -Semantics.E8Sidon.e8CoxeterNumber - -def -e8CoxeterNumber - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8CoxeterNumber - - -contains - - - -Semantics.E8Sidon.sigmaK - -def -sigmaK - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigmaK - - -contains - - - -Semantics.E8Sidon.sigma3 - -def -sigma3 - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigma3 - - -contains - - - -Semantics.E8Sidon.sigma7 - -def -sigma7 - - - -Semantics.E8Sidon->Semantics.E8Sidon.sigma7 - - -contains - - - -Semantics.E8Sidon.convolutionLHS - -def -convolutionLHS - - - -Semantics.E8Sidon->Semantics.E8Sidon.convolutionLHS - - -contains - - - -Semantics.E8Sidon.convolutionRHS - -def -convolutionRHS - - - -Semantics.E8Sidon->Semantics.E8Sidon.convolutionRHS - - -contains - - - -Semantics.E8Sidon.IsSidonSet - -def -IsSidonSet - - - -Semantics.E8Sidon->Semantics.E8Sidon.IsSidonSet - - -contains - - - -Semantics.E8Sidon.sumFiber - -def -sumFiber - - - -Semantics.E8Sidon->Semantics.E8Sidon.sumFiber - - -contains - - - -Semantics.E8Sidon.additiveEnergy - -def -additiveEnergy - - - -Semantics.E8Sidon->Semantics.E8Sidon.additiveEnergy - - -contains - - - -Semantics.E8Sidon.collisionCount - -def -collisionCount - - - -Semantics.E8Sidon->Semantics.E8Sidon.collisionCount - - -contains - - - -Semantics.E8Sidon.pairSumCount - -def -pairSumCount - - - -Semantics.E8Sidon->Semantics.E8Sidon.pairSumCount - - -contains - - - -Semantics.E8Sidon.totalCollisionExcess - -def -totalCollisionExcess - - - -Semantics.E8Sidon->Semantics.E8Sidon.totalCollisionExcess - - -contains - - - -Semantics.E8Sidon.convWeight - -def -convWeight - - - -Semantics.E8Sidon->Semantics.E8Sidon.convWeight - - -contains - - - -Semantics.E8Sidon.E8Admissible - -def -E8Admissible - - - -Semantics.E8Sidon->Semantics.E8Sidon.E8Admissible - - -contains - - - -Semantics.E8Sidon.E8LevelSet - -def -E8LevelSet - - - -Semantics.E8Sidon->Semantics.E8Sidon.E8LevelSet - - -contains - - - -Semantics.E8Sidon.e8ConvDivisor - -def -e8ConvDivisor - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8ConvDivisor - - -contains - - - -Semantics.E8Sidon.e8SimpleRootStrand - -def -e8SimpleRootStrand - - - -Semantics.E8Sidon->Semantics.E8Sidon.e8SimpleRootStrand - - -contains - - - -Semantics.ENEApi - -module -ENEApi - - - -Semantics.ENEApi.secretAccessAll - -theorem -secretAccessAll - - - -Semantics.ENEApi->Semantics.ENEApi.secretAccessAll - - -contains - - - -Semantics.ENEApi.publicAccessOnly - -theorem -publicAccessOnly - - - -Semantics.ENEApi->Semantics.ENEApi.publicAccessOnly - - -contains - - - -Semantics.ENEApi.checkAccess - -def -checkAccess - - - -Semantics.ENEApi->Semantics.ENEApi.checkAccess - - -contains - - - -Semantics.ENEApi.xorSemanticAxes - -def -xorSemanticAxes - - - -Semantics.ENEApi->Semantics.ENEApi.xorSemanticAxes - - -contains - - - -Semantics.ENEApi.goldenRatioMix - -def -goldenRatioMix - - - -Semantics.ENEApi->Semantics.ENEApi.goldenRatioMix - - -contains - - - -Semantics.ENEApi.deriveKeyFromSemantic - -def -deriveKeyFromSemantic - - - -Semantics.ENEApi->Semantics.ENEApi.deriveKeyFromSemantic - - -contains - - - -Semantics.ENEApi.computeIntegrityHash - -def -computeIntegrityHash - - - -Semantics.ENEApi->Semantics.ENEApi.computeIntegrityHash - - -contains - - - -Semantics.ENEApi.encryptData - -def -encryptData - - - -Semantics.ENEApi->Semantics.ENEApi.encryptData - - -contains - - - -Semantics.ENEApi.decryptData - -def -decryptData - - - -Semantics.ENEApi->Semantics.ENEApi.decryptData - - -contains - - - -Semantics.ENEApi.initSecurityManager - -def -initSecurityManager - - - -Semantics.ENEApi->Semantics.ENEApi.initSecurityManager - - -contains - - - -Semantics.ENEApi.storeSensitiveData - -def -storeSensitiveData - - - -Semantics.ENEApi->Semantics.ENEApi.storeSensitiveData - - -contains - - - -Semantics.ENEApi.retrieveSensitiveData - -def -retrieveSensitiveData - - - -Semantics.ENEApi->Semantics.ENEApi.retrieveSensitiveData - - -contains - - - -Semantics.ENEContextTokenCache - -module -ENEContextTokenCache - - - -Semantics.ENEContextTokenCache->Semantics.Bind - - -imports - - - -Semantics.ENEContextTokenCache.usageTotalZero - -theorem -usageTotalZero - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.usageTotalZero - - -contains - - - -Semantics.ENEContextTokenCache.emptyCacheWithinBudget - -theorem -emptyCacheWithinBudget - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.emptyCacheWithinBudget - - -contains - - - -Semantics.ENEContextTokenCache.insertRecordTotalWitness - -theorem -insertRecordTotalWitness - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.insertRecordTotalWitness - - -contains - - - -Semantics.ENEContextTokenCache.minimalUsageCostTotal - -theorem -minimalUsageCostTotal - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.minimalUsageCostTotal - - -contains - - - -Semantics.ENEContextTokenCache.zeroUsage - -def -zeroUsage - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.zeroUsage - - -contains - - - -Semantics.ENEContextTokenCache.usageTotal - -def -usageTotal - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.usageTotal - - -contains - - - -Semantics.ENEContextTokenCache.recordTotal - -def -recordTotal - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.recordTotal - - -contains - - - -Semantics.ENEContextTokenCache.addUsage - -def -addUsage - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.addUsage - - -contains - - - -Semantics.ENEContextTokenCache.totalUsage - -def -totalUsage - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.totalUsage - - -contains - - - -Semantics.ENEContextTokenCache.totalTokens - -def -totalTokens - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.totalTokens - - -contains - - - -Semantics.ENEContextTokenCache.budgetRemaining - -def -budgetRemaining - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.budgetRemaining - - -contains - - - -Semantics.ENEContextTokenCache.cacheWithinBudget - -def -cacheWithinBudget - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.cacheWithinBudget - - -contains - - - -Semantics.ENEContextTokenCache.tokenUsagePositions - -def -tokenUsagePositions - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.tokenUsagePositions - - -contains - - - -Semantics.ENEContextTokenCache.contextCompressionField - -def -contextCompressionField - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.contextCompressionField - - -contains - - - -Semantics.ENEContextTokenCache.contextCompressionCodes - -def -contextCompressionCodes - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.contextCompressionCodes - - -contains - - - -Semantics.ENEContextTokenCache.rgflowUsageLawful - -def -rgflowUsageLawful - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.rgflowUsageLawful - - -contains - - - -Semantics.ENEContextTokenCache.compressedUsageCost - -def -compressedUsageCost - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.compressedUsageCost - - -contains - - - -Semantics.ENEContextTokenCache.minimalUsageCost - -def -minimalUsageCost - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.minimalUsageCost - - -contains - - - -Semantics.ENEContextTokenCache.compressionWitness - -def -compressionWitness - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.compressionWitness - - -contains - - - -Semantics.ENEContextTokenCache.effectiveRecordCost - -def -effectiveRecordCost - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.effectiveRecordCost - - -contains - - - -Semantics.ENEContextTokenCache.retainRecord - -def -retainRecord - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.retainRecord - - -contains - - - -Semantics.ENEContextTokenCache.insertRecord - -def -insertRecord - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.insertRecord - - -contains - - - -Semantics.ENEContextTokenCache.contextTokenInvariant - -def -contextTokenInvariant - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.contextTokenInvariant - - -contains - - - -Semantics.ENEContextTokenCache.contextTokenCost - -def -contextTokenCost - - - -Semantics.ENEContextTokenCache->Semantics.ENEContextTokenCache.contextTokenCost - - -contains - - - -Semantics.ENECredentialEnvelope - -module -ENECredentialEnvelope - - - -Semantics.ENECredentialEnvelope.healthyNodeThreshold - -theorem -healthyNodeThreshold - - - -Semantics.ENECredentialEnvelope->Semantics.ENECredentialEnvelope.healthyNodeThreshold - - -contains - - - -Semantics.ENECredentialEnvelope.initNodeStatsZeroConnections - -theorem -initNodeStatsZeroConnections - - - -Semantics.ENECredentialEnvelope->Semantics.ENECredentialEnvelope.initNodeStatsZeroConnections - - -contains - - - -Semantics.ENECredentialEnvelope.initCredentialEnvelopeZeroUsage - -theorem -initCredentialEnvelopeZeroUsage - - - -Semantics.ENECredentialEnvelope->Semantics.ENECredentialEnvelope.initCredentialEnvelopeZeroUsage - - -contains - - - -Semantics.ENECredentialEnvelope.assignedNodeInList - -theorem -assignedNodeInList - - - -Semantics.ENECredentialEnvelope->Semantics.ENECredentialEnvelope.assignedNodeInList - - -contains - - - -Semantics.ENECredentialEnvelope.zero - -def -zero - - - -Semantics.ENECredentialEnvelope->Semantics.ENECredentialEnvelope.zero - - -contains - - - -Semantics.ENECredentialEnvelope.one - -def -one - - - -Semantics.ENECredentialEnvelope->Semantics.ENECredentialEnvelope.one - - -contains - - - -Semantics.ENECredentialEnvelope.ofFrac - -def -ofFrac - - - -Semantics.ENECredentialEnvelope->Semantics.ENECredentialEnvelope.ofFrac - - -contains - - - -Semantics.ENECredentialEnvelope.initNodeStats - -def -initNodeStats - - - -Semantics.ENECredentialEnvelope->Semantics.ENECredentialEnvelope.initNodeStats - - -contains - - - -Semantics.ENECredentialEnvelope.calculateHealthScore - -def -calculateHealthScore - - - -Semantics.ENECredentialEnvelope->Semantics.ENECredentialEnvelope.calculateHealthScore - - -contains - - - -Semantics.ENECredentialEnvelope.selectNode - -def -selectNode - - - -Semantics.ENECredentialEnvelope->Semantics.ENECredentialEnvelope.selectNode - - -contains - - - -Semantics.ENECredentialEnvelope.initCredentialEnvelope - -def -initCredentialEnvelope - - - -Semantics.ENECredentialEnvelope->Semantics.ENECredentialEnvelope.initCredentialEnvelope - - -contains - - - -Semantics.ENECredentialEnvelope.isAssignedToNode - -def -isAssignedToNode - - - -Semantics.ENECredentialEnvelope->Semantics.ENECredentialEnvelope.isAssignedToNode - - -contains - - - -Semantics.ENEDistributedNode - -module -ENEDistributedNode - - - -Semantics.ENEDistributedNode.initNodeIdentityFullHealth - -theorem -initNodeIdentityFullHealth - - - -Semantics.ENEDistributedNode->Semantics.ENEDistributedNode.initNodeIdentityFullHealth - - -contains - - - -Semantics.ENEDistributedNode.emptyConsensusHasNoVotes - -theorem -emptyConsensusHasNoVotes - - - -Semantics.ENEDistributedNode->Semantics.ENEDistributedNode.emptyConsensusHasNoVotes - - -contains - - - -Semantics.ENEDistributedNode.zero - -def -zero - - - -Semantics.ENEDistributedNode->Semantics.ENEDistributedNode.zero - - -contains - - - -Semantics.ENEDistributedNode.one - -def -one - - - -Semantics.ENEDistributedNode->Semantics.ENEDistributedNode.one - - -contains - - - -Semantics.ENEDistributedNode.ofFrac - -def -ofFrac - - - -Semantics.ENEDistributedNode->Semantics.ENEDistributedNode.ofFrac - - -contains - - - -Semantics.ENEDistributedNode.initNodeIdentity - -def -initNodeIdentity - - - -Semantics.ENEDistributedNode->Semantics.ENEDistributedNode.initNodeIdentity - - -contains - - - -Semantics.ENEDistributedNode.createGossipMessage - -def -createGossipMessage - - - -Semantics.ENEDistributedNode->Semantics.ENEDistributedNode.createGossipMessage - - -contains - - - -Semantics.ENEDistributedNode.initConsensusState - -def -initConsensusState - - - -Semantics.ENEDistributedNode->Semantics.ENEDistributedNode.initConsensusState - - -contains - - - -Semantics.ENEDistributedNode.addVote - -def -addVote - - - -Semantics.ENEDistributedNode->Semantics.ENEDistributedNode.addVote - - -contains - - - -Semantics.ENEDistributedNode.isConsensusReached - -def -isConsensusReached - - - -Semantics.ENEDistributedNode->Semantics.ENEDistributedNode.isConsensusReached - - -contains - - - -Semantics.ENEDistributedNode.calculateMeshHealth - -def -calculateMeshHealth - - - -Semantics.ENEDistributedNode->Semantics.ENEDistributedNode.calculateMeshHealth - - -contains - - - -Semantics.ENESecurity - -module -ENESecurity - - - -Semantics.ENESecurity->Mathlib.Data.Fin.Basic - - -imports - - - -Semantics.ENESecurity.access_control_monotonic - -theorem -access_control_monotonic - - - -Semantics.ENESecurity->Semantics.ENESecurity.access_control_monotonic - - -contains - - - -Semantics.ENESecurity.classifyData - -def -classifyData - - - -Semantics.ENESecurity->Semantics.ENESecurity.classifyData - - -contains - - - -Semantics.ENESecurity.deriveKeyFromSemantic - -def -deriveKeyFromSemantic - - - -Semantics.ENESecurity->Semantics.ENESecurity.deriveKeyFromSemantic - - -contains - - - -Semantics.ENESecurity.checkAccess - -def -checkAccess - - - -Semantics.ENESecurity->Semantics.ENESecurity.checkAccess - - -contains - - - -Semantics.ENESecurity.eneSecurityBind - -def -eneSecurityBind - - - -Semantics.ENESecurity->Semantics.ENESecurity.eneSecurityBind - - -contains - - - -Semantics.ENESecurity.storeSensitiveData - -def -storeSensitiveData - - - -Semantics.ENESecurity->Semantics.ENESecurity.storeSensitiveData - - -contains - - - -Semantics.ENESecurity.retrieveSensitiveData - -def -retrieveSensitiveData - - - -Semantics.ENESecurity->Semantics.ENESecurity.retrieveSensitiveData - - -contains - - - -Semantics.ENESecurity.exampleSecurityState - -def -exampleSecurityState - - - -Semantics.ENESecurity->Semantics.ENESecurity.exampleSecurityState - - -contains - - - -Semantics.ENESecurity.exampleSensitiveData - -def -exampleSensitiveData - - - -Semantics.ENESecurity->Semantics.ENESecurity.exampleSensitiveData - - -contains - - - -Semantics.EffectiveBoundDQ - -module -EffectiveBoundDQ - - - -Semantics.EffectiveBoundDQ.quadruplonEnergy_eq_dualQuatEnergy - -theorem -quadruplonEnergy_eq_dualQuatEnergy - - - -Semantics.EffectiveBoundDQ->Semantics.EffectiveBoundDQ.quadruplonEnergy_eq_dualQuatEnergy - - -contains - - - -Semantics.EffectiveBoundDQ.cluster_C4_energy_nonneg - -theorem -cluster_C4_energy_nonneg - - - -Semantics.EffectiveBoundDQ->Semantics.EffectiveBoundDQ.cluster_C4_energy_nonneg - - -contains - - - -Semantics.EffectiveBoundDQ.bakerLogLowerBound_uncorrected_is_false - -theorem -bakerLogLowerBound_uncorrected_is_false - - - -Semantics.EffectiveBoundDQ->Semantics.EffectiveBoundDQ.bakerLogLowerBound_uncorrected_is_false - - -contains - - - -Semantics.EffectiveBoundDQ.linForm_ne_zero_of_pow_ne - -theorem -linForm_ne_zero_of_pow_ne - - - -Semantics.EffectiveBoundDQ->Semantics.EffectiveBoundDQ.linForm_ne_zero_of_pow_ne - - -contains - - - -Semantics.EffectiveBoundDQ.elementaryLogLowerBound - -theorem -elementaryLogLowerBound - - - -Semantics.EffectiveBoundDQ->Semantics.EffectiveBoundDQ.elementaryLogLowerBound - - -contains - - - -Semantics.EffectiveBoundDQ.effectiveGoormaghtighBound - -theorem -effectiveGoormaghtighBound - - - -Semantics.EffectiveBoundDQ->Semantics.EffectiveBoundDQ.effectiveGoormaghtighBound - - -contains - - - -Semantics.EffectiveBoundDQ.computationalRefinement - -theorem -computationalRefinement - - - -Semantics.EffectiveBoundDQ->Semantics.EffectiveBoundDQ.computationalRefinement - - -contains - - - -Semantics.EffectiveBoundDQ.quadruplon_irreducible - -theorem -quadruplon_irreducible - - - -Semantics.EffectiveBoundDQ->Semantics.EffectiveBoundDQ.quadruplon_irreducible - - -contains - - - -Semantics.EffectiveBoundDQ.clusterSector - -def -clusterSector - - - -Semantics.EffectiveBoundDQ->Semantics.EffectiveBoundDQ.clusterSector - - -contains - - - -Semantics.EffectiveBoundDQ.quadruplonEnergy - -def -quadruplonEnergy - - - -Semantics.EffectiveBoundDQ->Semantics.EffectiveBoundDQ.quadruplonEnergy - - -contains - - - -Semantics.EffectiveBoundDQ.excitonEnergy - -def -excitonEnergy - - - -Semantics.EffectiveBoundDQ->Semantics.EffectiveBoundDQ.excitonEnergy - - -contains - - - -Semantics.EffectiveBoundDQ.sidonTetrahedronToDQ - -def -sidonTetrahedronToDQ - - - -Semantics.EffectiveBoundDQ->Semantics.EffectiveBoundDQ.sidonTetrahedronToDQ - - -contains - - - -Semantics.EffectiveBoundDQ.effectiveBoundReceipt - -def -effectiveBoundReceipt - - - -Semantics.EffectiveBoundDQ->Semantics.EffectiveBoundDQ.effectiveBoundReceipt - - -contains - - - -Semantics.EfficiencyAnalysis - -module -EfficiencyAnalysis - - - -Semantics.EfficiencyAnalysis.calculateSabotagePreventionGains - -def -calculateSabotagePreventionGains - - - -Semantics.EfficiencyAnalysis->Semantics.EfficiencyAnalysis.calculateSabotagePreventionGains - - -contains - - - -Semantics.EfficiencyAnalysis.calculateServiceRestorationGains - -def -calculateServiceRestorationGains - - - -Semantics.EfficiencyAnalysis->Semantics.EfficiencyAnalysis.calculateServiceRestorationGains - - -contains - - - -Semantics.EfficiencyAnalysis.calculateSyncAttackPreventionGains - -def -calculateSyncAttackPreventionGains - - - -Semantics.EfficiencyAnalysis->Semantics.EfficiencyAnalysis.calculateSyncAttackPreventionGains - - -contains - - - -Semantics.EfficiencyAnalysis.calculateEnergyTrackingGains - -def -calculateEnergyTrackingGains - - - -Semantics.EfficiencyAnalysis->Semantics.EfficiencyAnalysis.calculateEnergyTrackingGains - - -contains - - - -Semantics.EfficiencyAnalysis.generateEfficiencySummary - -def -generateEfficiencySummary - - - -Semantics.EfficiencyAnalysis->Semantics.EfficiencyAnalysis.generateEfficiencySummary - - -contains - - - -Semantics.EfficiencyAnalysis->Semantics.FixedPoint - - -imports - - - -Semantics.ElectromagneticSpectrum - -module -ElectromagneticSpectrum - - - -Semantics.ElectromagneticSpectrum.scale - -def -scale - - - -Semantics.ElectromagneticSpectrum->Semantics.ElectromagneticSpectrum.scale - - -contains - - - -Semantics.ElectromagneticSpectrum.zero - -def -zero - - - -Semantics.ElectromagneticSpectrum->Semantics.ElectromagneticSpectrum.zero - - -contains - - - -Semantics.ElectromagneticSpectrum.one - -def -one - - - -Semantics.ElectromagneticSpectrum->Semantics.ElectromagneticSpectrum.one - - -contains - - - -Semantics.ElectromagneticSpectrum.half - -def -half - - - -Semantics.ElectromagneticSpectrum->Semantics.ElectromagneticSpectrum.half - - -contains - - - -Semantics.ElectromagneticSpectrum.quarter - -def -quarter - - - -Semantics.ElectromagneticSpectrum->Semantics.ElectromagneticSpectrum.quarter - - -contains - - - -Semantics.ElectromagneticSpectrum.eighth - -def -eighth - - - -Semantics.ElectromagneticSpectrum->Semantics.ElectromagneticSpectrum.eighth - - -contains - - - -Semantics.ElectromagneticSpectrum.satFromNat - -def -satFromNat - - - -Semantics.ElectromagneticSpectrum->Semantics.ElectromagneticSpectrum.satFromNat - - -contains - - - -Semantics.ElectromagneticSpectrum.fromNat - -def -fromNat - - - -Semantics.ElectromagneticSpectrum->Semantics.ElectromagneticSpectrum.fromNat - - -contains - - - -Semantics.ElectromagneticSpectrum.ge - -def -ge - - - -Semantics.ElectromagneticSpectrum->Semantics.ElectromagneticSpectrum.ge - - -contains - - - -Semantics.ElectromagneticSpectrum.le - -def -le - - - -Semantics.ElectromagneticSpectrum->Semantics.ElectromagneticSpectrum.le - - -contains - - - -Semantics.ElectromagneticSpectrum.isIonizingBand - -def -isIonizingBand - - - -Semantics.ElectromagneticSpectrum->Semantics.ElectromagneticSpectrum.isIonizingBand - - -contains - - - -Semantics.ElectronOrbitalConstraint - -module -ElectronOrbitalConstraint - - - -Semantics.ElectronOrbitalConstraint.electronTunnelingRespectsDistanceLimit - -theorem -electronTunnelingRespectsDistanceLimit - - - -Semantics.ElectronOrbitalConstraint->Semantics.ElectronOrbitalConstraint.electronTunnelingRespectsDistanceLimit - - -contains - - - -Semantics.ElectronOrbitalConstraint.mottTransitionAtThreshold - -theorem -mottTransitionAtThreshold - - - -Semantics.ElectronOrbitalConstraint->Semantics.ElectronOrbitalConstraint.mottTransitionAtThreshold - - -contains - - - -Semantics.ElectronOrbitalConstraint.pauliExclusionRespected - -theorem -pauliExclusionRespected - - - -Semantics.ElectronOrbitalConstraint->Semantics.ElectronOrbitalConstraint.pauliExclusionRespected - - -contains - - - -Semantics.ElectronOrbitalConstraint.quantumCoherenceEnablesSwitching - -theorem -quantumCoherenceEnablesSwitching - - - -Semantics.ElectronOrbitalConstraint->Semantics.ElectronOrbitalConstraint.quantumCoherenceEnablesSwitching - - -contains - - - -Semantics.ElectronOrbitalConstraint.transportRateSufficientForAssembly - -theorem -transportRateSufficientForAssembly - - - -Semantics.ElectronOrbitalConstraint->Semantics.ElectronOrbitalConstraint.transportRateSufficientForAssembly - - -contains - - - -Semantics.ElectronOrbitalConstraint.electronTunnelingLimit - -def -electronTunnelingLimit - - - -Semantics.ElectronOrbitalConstraint->Semantics.ElectronOrbitalConstraint.electronTunnelingLimit - - -contains - - - -Semantics.ElectronOrbitalConstraint.mottTransitionThreshold - -def -mottTransitionThreshold - - - -Semantics.ElectronOrbitalConstraint->Semantics.ElectronOrbitalConstraint.mottTransitionThreshold - - -contains - - - -Semantics.ElectronOrbitalConstraint.orbitalOccupancyLimit - -def -orbitalOccupancyLimit - - - -Semantics.ElectronOrbitalConstraint->Semantics.ElectronOrbitalConstraint.orbitalOccupancyLimit - - -contains - - - -Semantics.ElectronOrbitalConstraint.electronTransportRate - -def -electronTransportRate - - - -Semantics.ElectronOrbitalConstraint->Semantics.ElectronOrbitalConstraint.electronTransportRate - - -contains - - - -Semantics.ElectronOrbitalConstraint.quantumCoherenceTime - -def -quantumCoherenceTime - - - -Semantics.ElectronOrbitalConstraint->Semantics.ElectronOrbitalConstraint.quantumCoherenceTime - - -contains - - - -Semantics.ElectronOrbitalConstraint.safeElectronTransportWindowSeconds - -def -safeElectronTransportWindowSeconds - - - -Semantics.ElectronOrbitalConstraint->Semantics.ElectronOrbitalConstraint.safeElectronTransportWindowSeconds - - -contains - - - -Semantics.ElectronOrbitalConstraint.computeElectronAdaptationVerdict - -def -computeElectronAdaptationVerdict - - - -Semantics.ElectronOrbitalConstraint->Semantics.ElectronOrbitalConstraint.computeElectronAdaptationVerdict - - -contains - - - -Semantics.ElectronOrbitalConstraint->Semantics.FixedPoint - - -imports - - - -Semantics.EneContextSurface - -module -EneContextSurface - - - -Semantics.EneContextSurface.eneStatus - -def -eneStatus - - - -Semantics.EneContextSurface->Semantics.EneContextSurface.eneStatus - - -contains - - - -Semantics.EneContextSurface.eneRemember - -def -eneRemember - - - -Semantics.EneContextSurface->Semantics.EneContextSurface.eneRemember - - -contains - - - -Semantics.EneContextSurface.eneRecall - -def -eneRecall - - - -Semantics.EneContextSurface->Semantics.EneContextSurface.eneRecall - - -contains - - - -Semantics.EneContextSurface.eneSearch - -def -eneSearch - - - -Semantics.EneContextSurface->Semantics.EneContextSurface.eneSearch - - -contains - - - -Semantics.EneContextSurface.eneContext - -def -eneContext - - - -Semantics.EneContextSurface->Semantics.EneContextSurface.eneContext - - -contains - - - -Semantics.EneContextSurface.eneSessions - -def -eneSessions - - - -Semantics.EneContextSurface->Semantics.EneContextSurface.eneSessions - - -contains - - - -Semantics.EneContextSurface.eneSync - -def -eneSync - - - -Semantics.EneContextSurface->Semantics.EneContextSurface.eneSync - - -contains - - - -Semantics.EneContextSurface.tools - -def -tools - - - -Semantics.EneContextSurface->Semantics.EneContextSurface.tools - - -contains - - - -Semantics.EneContextSurface.toolsJson - -def -toolsJson - - - -Semantics.EneContextSurface->Semantics.EneContextSurface.toolsJson - - -contains - - - -Semantics.McpSurfaceManifest - -module -McpSurfaceManifest - - - -Semantics.EneContextSurface->Semantics.McpSurfaceManifest - - -imports - - - -Semantics.EnergyGradientSignal - -module -EnergyGradientSignal - - - -Semantics.EnergyGradientSignal.gradientMagnitudeNonNegative - -theorem -gradientMagnitudeNonNegative - - - -Semantics.EnergyGradientSignal->Semantics.EnergyGradientSignal.gradientMagnitudeNonNegative - - -contains - - - -Semantics.EnergyGradientSignal.couplingSymmetry - -theorem -couplingSymmetry - - - -Semantics.EnergyGradientSignal->Semantics.EnergyGradientSignal.couplingSymmetry - - -contains - - - -Semantics.EnergyGradientSignal.energyChangeAdditive - -theorem -energyChangeAdditive - - - -Semantics.EnergyGradientSignal->Semantics.EnergyGradientSignal.energyChangeAdditive - - -contains - - - -Semantics.EnergyGradientSignal.energyGradientInvariant - -def -energyGradientInvariant - - - -Semantics.EnergyGradientSignal->Semantics.EnergyGradientSignal.energyGradientInvariant - - -contains - - - -Semantics.EnergyGradientSignal.calculateEnergyChange - -def -calculateEnergyChange - - - -Semantics.EnergyGradientSignal->Semantics.EnergyGradientSignal.calculateEnergyChange - - -contains - - - -Semantics.EnergyGradientSignal.computeGradientMagnitude - -def -computeGradientMagnitude - - - -Semantics.EnergyGradientSignal->Semantics.EnergyGradientSignal.computeGradientMagnitude - - -contains - - - -Semantics.EnergyGradientSignal.computeGradientDirection - -def -computeGradientDirection - - - -Semantics.EnergyGradientSignal->Semantics.EnergyGradientSignal.computeGradientDirection - - -contains - - - -Semantics.EnergyGradientSignal.createEnergyWaveform - -def -createEnergyWaveform - - - -Semantics.EnergyGradientSignal->Semantics.EnergyGradientSignal.createEnergyWaveform - - -contains - - - -Semantics.EnergyGradientSignal.calculateShapeEnergyCoupling - -def -calculateShapeEnergyCoupling - - - -Semantics.EnergyGradientSignal->Semantics.EnergyGradientSignal.calculateShapeEnergyCoupling - - -contains - - - -Semantics.EnergyGradientSignal.energyGradientSignalCost - -def -energyGradientSignalCost - - - -Semantics.EnergyGradientSignal->Semantics.EnergyGradientSignal.energyGradientSignalCost - - -contains - - - -Semantics.EnergyGradientSignal.energyGradientSignalBind - -def -energyGradientSignalBind - - - -Semantics.EnergyGradientSignal->Semantics.EnergyGradientSignal.energyGradientSignalBind - - -contains - - - -Semantics.EnergyGradientSignal.couplingSymmetryCheck - -def -couplingSymmetryCheck - - - -Semantics.EnergyGradientSignal->Semantics.EnergyGradientSignal.couplingSymmetryCheck - - -contains - - - -Semantics.EntropyMeasures - -module -EntropyMeasures - - - -Semantics.EntropyMeasures.defaultThresholdsValid - -theorem -defaultThresholdsValid - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.defaultThresholdsValid - - -contains - - - -Semantics.EntropyMeasures.adaptiveEntropySelectsShannon - -theorem -adaptiveEntropySelectsShannon - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.adaptiveEntropySelectsShannon - - -contains - - - -Semantics.EntropyMeasures.adaptiveEntropySelectsCollision - -theorem -adaptiveEntropySelectsCollision - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.adaptiveEntropySelectsCollision - - -contains - - - -Semantics.EntropyMeasures.adaptiveEntropySelectsMin - -theorem -adaptiveEntropySelectsMin - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.adaptiveEntropySelectsMin - - -contains - - - -Semantics.EntropyMeasures.prob - -def -prob - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.prob - - -contains - - - -Semantics.EntropyMeasures.variance - -def -variance - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.variance - - -contains - - - -Semantics.EntropyMeasures.shannonEntropy - -def -shannonEntropy - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.shannonEntropy - - -contains - - - -Semantics.EntropyMeasures.collisionEntropy - -def -collisionEntropy - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.collisionEntropy - - -contains - - - -Semantics.EntropyMeasures.minEntropy - -def -minEntropy - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.minEntropy - - -contains - - - -Semantics.EntropyMeasures.kullbackLeiblerDivergence - -def -kullbackLeiblerDivergence - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.kullbackLeiblerDivergence - - -contains - - - -Semantics.EntropyMeasures.jensenShannonDivergence - -def -jensenShannonDivergence - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.jensenShannonDivergence - - -contains - - - -Semantics.EntropyMeasures.mutualInformation - -def -mutualInformation - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.mutualInformation - - -contains - - - -Semantics.EntropyMeasures.informationBottleneck - -def -informationBottleneck - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.informationBottleneck - - -contains - - - -Semantics.EntropyMeasures.reynolds - -def -reynolds - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.reynolds - - -contains - - - -Semantics.EntropyMeasures.default - -def -default - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.default - - -contains - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.default - - -contains - - - -Semantics.EntropyMeasures.classifyRegime - -def -classifyRegime - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.classifyRegime - - -contains - - - -Semantics.EntropyMeasures.turbulenceEntropy - -def -turbulenceEntropy - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.turbulenceEntropy - - -contains - - - -Semantics.EntropyMeasures.laminarBottleneck - -def -laminarBottleneck - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.laminarBottleneck - - -contains - - - -Semantics.EntropyMeasures.turbulentFlow - -def -turbulentFlow - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.turbulentFlow - - -contains - - - -Semantics.EntropyMeasures.velocity - -def -velocity - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.velocity - - -contains - - - -Semantics.EntropyMeasures.flowRate - -def -flowRate - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.flowRate - - -contains - - - -Semantics.EntropyMeasures.grashof - -def -grashof - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.grashof - - -contains - - - -Semantics.EntropyMeasures.classifyConvection - -def -classifyConvection - - - -Semantics.EntropyMeasures->Semantics.EntropyMeasures.classifyConvection - - -contains - - - -Semantics.EntropyPhaseEngine - -module -EntropyPhaseEngine - - - -Semantics.EntropyPhaseEngine.complexity_penalty_monotone - -theorem -complexity_penalty_monotone - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.complexity_penalty_monotone - - -contains - - - -Semantics.EntropyPhaseEngine.modelType_exhaustive - -theorem -modelType_exhaustive - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.modelType_exhaustive - - -contains - - - -Semantics.EntropyPhaseEngine.complexity_ordering_monotone - -theorem -complexity_ordering_monotone - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.complexity_ordering_monotone - - -contains - - - -Semantics.EntropyPhaseEngine.allCandidates_length - -theorem -allCandidates_length - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.allCandidates_length - - -contains - - - -Semantics.EntropyPhaseEngine.noiseCandidate_complexity_zero - -theorem -noiseCandidate_complexity_zero - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.noiseCandidate_complexity_zero - - -contains - - - -Semantics.EntropyPhaseEngine.minCandidate_singleton - -theorem -minCandidate_singleton - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.minCandidate_singleton - - -contains - - - -Semantics.EntropyPhaseEngine.anti_puppy_box_theorem - -theorem -anti_puppy_box_theorem - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.anti_puppy_box_theorem - - -contains - - - -Semantics.EntropyPhaseEngine.nanokernel_isolation - -theorem -nanokernel_isolation - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.nanokernel_isolation - - -contains - - - -Semantics.EntropyPhaseEngine.fpga_extraction_correctness - -theorem -fpga_extraction_correctness - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.fpga_extraction_correctness - - -contains - - - -Semantics.EntropyPhaseEngine.universal_electron_verification - -theorem -universal_electron_verification - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.universal_electron_verification - - -contains - - - -Semantics.EntropyPhaseEngine.natToQ0 - -def -natToQ0 - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.natToQ0 - - -contains - - - -Semantics.EntropyPhaseEngine.intToQ0 - -def -intToQ0 - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.intToQ0 - - -contains - - - -Semantics.EntropyPhaseEngine.Signal - -def -Signal - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.Signal - - -contains - - - -Semantics.EntropyPhaseEngine.ResidualModel - -def -ResidualModel - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.ResidualModel - - -contains - - - -Semantics.EntropyPhaseEngine.LogicalMass - -def -LogicalMass - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.LogicalMass - - -contains - - - -Semantics.EntropyPhaseEngine.selectModelMass - -def -selectModelMass - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.selectModelMass - - -contains - - - -Semantics.EntropyPhaseEngine.antiPuppyBoxMass - -def -antiPuppyBoxMass - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.antiPuppyBoxMass - - -contains - - - -Semantics.EntropyPhaseEngine.ModelType - -def -ModelType - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.ModelType - - -contains - - - -Semantics.EntropyPhaseEngine.ModelCandidate - -def -ModelCandidate - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.ModelCandidate - - -contains - - - -Semantics.EntropyPhaseEngine.signalToDimensionless - -def -signalToDimensionless - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.signalToDimensionless - - -contains - - - -Semantics.EntropyPhaseEngine.mse - -def -mse - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.mse - - -contains - - - -Semantics.EntropyPhaseEngine.lag1Autocorr - -def -lag1Autocorr - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.lag1Autocorr - - -contains - - - -Semantics.EntropyPhaseEngine.lagLossQ16 - -def -lagLossQ16 - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.lagLossQ16 - - -contains - - - -Semantics.EntropyPhaseEngine.weightedSplitLoss - -def -weightedSplitLoss - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.weightedSplitLoss - - -contains - - - -Semantics.EntropyPhaseEngine.q0Zero - -def -q0Zero - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.q0Zero - - -contains - - - -Semantics.EntropyPhaseEngine.deltaLoss - -def -deltaLoss - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.deltaLoss - - -contains - - - -Semantics.EntropyPhaseEngine.q16ToQ0 - -def -q16ToQ0 - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.q16ToQ0 - - -contains - - - -Semantics.EntropyPhaseEngine.detectChangepointDefault - -def -detectChangepointDefault - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.detectChangepointDefault - - -contains - - - -Semantics.EntropyPhaseEngine.complexityPenalty - -def -complexityPenalty - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.complexityPenalty - - -contains - - - -Semantics.EntropyPhaseEngine.noiseCandidate - -def -noiseCandidate - - - -Semantics.EntropyPhaseEngine->Semantics.EntropyPhaseEngine.noiseCandidate - - -contains - - - -Semantics.EntropyPhaseEngine->Semantics.FixedPoint - - -imports - - - -Semantics.EnvironmentMechanics - -module -EnvironmentMechanics - - - -Semantics.EnvironmentMechanics.admissibleOfBounds - -theorem -admissibleOfBounds - - - -Semantics.EnvironmentMechanics->Semantics.EnvironmentMechanics.admissibleOfBounds - - -contains - - - -Semantics.EnvironmentMechanics.witnessOfCompressionAdmissible - -theorem -witnessOfCompressionAdmissible - - - -Semantics.EnvironmentMechanics->Semantics.EnvironmentMechanics.witnessOfCompressionAdmissible - - -contains - - - -Semantics.EnvironmentMechanics.retainedDirections - -def -retainedDirections - - - -Semantics.EnvironmentMechanics->Semantics.EnvironmentMechanics.retainedDirections - - -contains - - - -Semantics.EnvironmentMechanics.orderCovered - -def -orderCovered - - - -Semantics.EnvironmentMechanics->Semantics.EnvironmentMechanics.orderCovered - - -contains - - - -Semantics.EnvironmentMechanics.boundedCoupling - -def -boundedCoupling - - - -Semantics.EnvironmentMechanics->Semantics.EnvironmentMechanics.boundedCoupling - - -contains - - - -Semantics.EnvironmentMechanics.boundedResidual - -def -boundedResidual - - - -Semantics.EnvironmentMechanics->Semantics.EnvironmentMechanics.boundedResidual - - -contains - - - -Semantics.EnvironmentMechanics.longRangeAdmissible - -def -longRangeAdmissible - - - -Semantics.EnvironmentMechanics->Semantics.EnvironmentMechanics.longRangeAdmissible - - -contains - - - -Semantics.EnvironmentMechanics.witnessOfCompression - -def -witnessOfCompression - - - -Semantics.EnvironmentMechanics->Semantics.EnvironmentMechanics.witnessOfCompression - - -contains - - - -Semantics.EnvironmentMechanics.sampleEnvironmentWitness - -def -sampleEnvironmentWitness - - - -Semantics.EnvironmentMechanics->Semantics.EnvironmentMechanics.sampleEnvironmentWitness - - -contains - - - -Semantics.EnvironmentMechanics.sampleCompressionEnvironmentWitness - -def -sampleCompressionEnvironmentWitness - - - -Semantics.EnvironmentMechanics->Semantics.EnvironmentMechanics.sampleCompressionEnvironmentWitness - - -contains - - - -Semantics.EnvironmentMechanics->Semantics.FixedPoint - - -imports - - - -Semantics.EpistemicHonesty - -module -EpistemicHonesty - - - -Semantics.EpistemicHonesty.isCategoryError_no_error_when_match - -theorem -isCategoryError_no_error_when_match - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.isCategoryError_no_error_when_match - - -contains - - - -Semantics.EpistemicHonesty.isCategoryError_when_speculative - -theorem -isCategoryError_when_speculative - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.isCategoryError_when_speculative - - -contains - - - -Semantics.EpistemicHonesty.isCategoryError_when_forbidden - -theorem -isCategoryError_when_forbidden - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.isCategoryError_when_forbidden - - -contains - - - -Semantics.EpistemicHonesty.classifyByBoundary_gödel - -theorem -classifyByBoundary_gödel - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.classifyByBoundary_gödel - - -contains - - - -Semantics.EpistemicHonesty.classifyByBoundary_descent - -theorem -classifyByBoundary_descent - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.classifyByBoundary_descent - - -contains - - - -Semantics.EpistemicHonesty.classifyByBoundary_scope - -theorem -classifyByBoundary_scope - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.classifyByBoundary_scope - - -contains - - - -Semantics.EpistemicHonesty.ascent_honesty_gate - -theorem -ascent_honesty_gate - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.ascent_honesty_gate - - -contains - - - -Semantics.EpistemicHonesty.chocolate_ascent_not_productive - -theorem -chocolate_ascent_not_productive - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.chocolate_ascent_not_productive - - -contains - - - -Semantics.EpistemicHonesty.sub_le_self_rational - -theorem -sub_le_self_rational - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.sub_le_self_rational - - -contains - - - -Semantics.EpistemicHonesty.honestyMetric_le_one - -theorem -honestyMetric_le_one - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.honestyMetric_le_one - - -contains - - - -Semantics.EpistemicHonesty.sniffer_catches_artifact_only - -theorem -sniffer_catches_artifact_only - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.sniffer_catches_artifact_only - - -contains - - - -Semantics.EpistemicHonesty.sniffer_catches_batch_completion - -theorem -sniffer_catches_batch_completion - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.sniffer_catches_batch_completion - - -contains - - - -Semantics.EpistemicHonesty.sniffer_passes_runtime_state - -theorem -sniffer_passes_runtime_state - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.sniffer_passes_runtime_state - - -contains - - - -Semantics.EpistemicHonesty.classify_active_artifact_is_forbidden - -theorem -classify_active_artifact_is_forbidden - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.classify_active_artifact_is_forbidden - - -contains - - - -Semantics.EpistemicHonesty.classify_active_batch_is_forbidden - -theorem -classify_active_batch_is_forbidden - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.classify_active_batch_is_forbidden - - -contains - - - -Semantics.EpistemicHonesty.classify_zero_excess_is_resolvable - -theorem -classify_zero_excess_is_resolvable - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.classify_zero_excess_is_resolvable - - -contains - - - -Semantics.EpistemicHonesty.computeProofPressure - -def -computeProofPressure - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.computeProofPressure - - -contains - - - -Semantics.EpistemicHonesty.honestyMetric - -def -honestyMetric - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.honestyMetric - - -contains - - - -Semantics.EpistemicHonesty.classifyHonestyState - -def -classifyHonestyState - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.classifyHonestyState - - -contains - - - -Semantics.EpistemicHonesty.isCategoryError - -def -isCategoryError - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.isCategoryError - - -contains - - - -Semantics.EpistemicHonesty.classifyByBoundary - -def -classifyByBoundary - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.classifyByBoundary - - -contains - - - -Semantics.EpistemicHonesty.wGateVerification - -def -wGateVerification - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.wGateVerification - - -contains - - - -Semantics.EpistemicHonesty.higgsImaginaryStressTest - -def -higgsImaginaryStressTest - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.higgsImaginaryStressTest - - -contains - - - -Semantics.EpistemicHonesty.higgsImaginaryHonesty - -def -higgsImaginaryHonesty - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.higgsImaginaryHonesty - - -contains - - - -Semantics.EpistemicHonesty.fltGrindstone - -def -fltGrindstone - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.fltGrindstone - - -contains - - - -Semantics.EpistemicHonesty.fltProofPressure - -def -fltProofPressure - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.fltProofPressure - - -contains - - - -Semantics.EpistemicHonesty.fltPressure - -def -fltPressure - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.fltPressure - - -contains - - - -Semantics.EpistemicHonesty.productiveAscent - -def -productiveAscent - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.productiveAscent - - -contains - - - -Semantics.EpistemicHonesty.chocolateAscent - -def -chocolateAscent - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.chocolateAscent - - -contains - - - -Semantics.EpistemicHonesty.wAxisResidueChange - -def -wAxisResidueChange - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.wAxisResidueChange - - -contains - - - -Semantics.EpistemicHonesty.ascentLearning - -def -ascentLearning - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.ascentLearning - - -contains - - - -Semantics.EpistemicHonesty.ascentDiverging - -def -ascentDiverging - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.ascentDiverging - - -contains - - - -Semantics.EpistemicHonesty.computeWorkExcess - -def -computeWorkExcess - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.computeWorkExcess - - -contains - - - -Semantics.EpistemicHonesty.execution_state_leakage_sniffer - -def -execution_state_leakage_sniffer - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.execution_state_leakage_sniffer - - -contains - - - -Semantics.EpistemicHonesty.classifyExecutionClaim - -def -classifyExecutionClaim - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.classifyExecutionClaim - - -contains - - - -Semantics.EpistemicHonesty.webgpuExecutionClaim - -def -webgpuExecutionClaim - - - -Semantics.EpistemicHonesty->Semantics.EpistemicHonesty.webgpuExecutionClaim - - -contains - - - -Mathlib.Data.Rat.Defs - -mathlib -Mathlib.Data.Rat.Defs - - - -Semantics.EpistemicHonesty->Mathlib.Data.Rat.Defs - - -imports - - - -Semantics.EquationFractalEncoding - -module -EquationFractalEncoding - - - -Semantics.EquationFractalEncoding.manifold_distance_symmetric - -theorem -manifold_distance_symmetric - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.manifold_distance_symmetric - - -contains - - - -Semantics.EquationFractalEncoding.merkle_root_empty - -theorem -merkle_root_empty - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.merkle_root_empty - - -contains - - - -Semantics.EquationFractalEncoding.merkle_root_singleton - -theorem -merkle_root_singleton - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.merkle_root_singleton - - -contains - - - -Semantics.EquationFractalEncoding.mixHash_non_comm - -theorem -mixHash_non_comm - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.mixHash_non_comm - - -contains - - - -Semantics.EquationFractalEncoding.integrity_correct - -theorem -integrity_correct - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.integrity_correct - - -contains - - - -Semantics.EquationFractalEncoding.sidon_address_valid - -theorem -sidon_address_valid - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.sidon_address_valid - - -contains - - - -Semantics.EquationFractalEncoding.chaos_game_bounded - -theorem -chaos_game_bounded - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.chaos_game_bounded - - -contains - - - -Semantics.EquationFractalEncoding.subtree_fold_empty - -theorem -subtree_fold_empty - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.subtree_fold_empty - - -contains - - - -Semantics.EquationFractalEncoding.integrity_reflexive - -theorem -integrity_reflexive - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.integrity_reflexive - - -contains - - - -Semantics.EquationFractalEncoding.countDistinctTiers - -def -countDistinctTiers - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.countDistinctTiers - - -contains - - - -Semantics.EquationFractalEncoding.MerkleDigest - -def -MerkleDigest - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.MerkleDigest - - -contains - - - -Semantics.EquationFractalEncoding.mixHash - -def -mixHash - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.mixHash - - -contains - - - -Semantics.EquationFractalEncoding.hashLeaf - -def -hashLeaf - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.hashLeaf - - -contains - - - -Semantics.EquationFractalEncoding.computeMerkleRoot - -def -computeMerkleRoot - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.computeMerkleRoot - - -contains - - - -Semantics.EquationFractalEncoding.verifySubtreeHash - -def -verifySubtreeHash - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.verifySubtreeHash - - -contains - - - -Semantics.EquationFractalEncoding.merkleProofPath - -def -merkleProofPath - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.merkleProofPath - - -contains - - - -Semantics.EquationFractalEncoding.verifyIntegrity - -def -verifyIntegrity - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.verifyIntegrity - - -contains - - - -Semantics.EquationFractalEncoding.verifyTree - -def -verifyTree - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.verifyTree - - -contains - - - -Semantics.EquationFractalEncoding.manifoldDistance - -def -manifoldDistance - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.manifoldDistance - - -contains - - - -Semantics.EquationFractalEncoding.computeManifold - -def -computeManifold - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.computeManifold - - -contains - - - -Semantics.EquationFractalEncoding.foldEquationDescription - -def -foldEquationDescription - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.foldEquationDescription - - -contains - - - -Semantics.EquationFractalEncoding.foldSubtree - -def -foldSubtree - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.foldSubtree - - -contains - - - -Semantics.EquationFractalEncoding.insert - -def -insert - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.insert - - -contains - - - -Semantics.EquationFractalEncoding.spiralSearch - -def -spiralSearch - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.spiralSearch - - -contains - - - -Semantics.EquationFractalEncoding.detectDamage - -def -detectDamage - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.detectDamage - - -contains - - - -Semantics.EquationFractalEncoding.defaultConfig - -def -defaultConfig - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.defaultConfig - - -contains - - - -Semantics.EquationFractalEncoding.ingestEquation - -def -ingestEquation - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.ingestEquation - - -contains - - - -Semantics.EquationFractalEncoding.sidonSet - -def -sidonSet - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.sidonSet - - -contains - - - -Semantics.EquationFractalEncoding.spectralToSidonAddress - -def -spectralToSidonAddress - - - -Semantics.EquationFractalEncoding->Semantics.EquationFractalEncoding.spectralToSidonAddress - - -contains - - - -Semantics.EquationTranslation - -module -EquationTranslation - - - -Semantics.EquationTranslation->Semantics.CanonicalInterval - - -imports - - - -Semantics.EquationTranslation.mkTranslationResult - -def -mkTranslationResult - - - -Semantics.EquationTranslation->Semantics.EquationTranslation.mkTranslationResult - - -contains - - - -Semantics.EquationTranslation.translateDiat - -def -translateDiat - - - -Semantics.EquationTranslation->Semantics.EquationTranslation.translateDiat - - -contains - - - -Semantics.EquationTranslation.translateDNat - -def -translateDNat - - - -Semantics.EquationTranslation->Semantics.EquationTranslation.translateDNat - - -contains - - - -Semantics.EquationTranslation.translateSpectral - -def -translateSpectral - - - -Semantics.EquationTranslation->Semantics.EquationTranslation.translateSpectral - - -contains - - - -Semantics.EquationTranslation.translateQubo - -def -translateQubo - - - -Semantics.EquationTranslation->Semantics.EquationTranslation.translateQubo - - -contains - - - -Semantics.EquationTranslation.translateCanal - -def -translateCanal - - - -Semantics.EquationTranslation->Semantics.EquationTranslation.translateCanal - - -contains - - - -Semantics.EquationTranslation.translateChannelMatrix - -def -translateChannelMatrix - - - -Semantics.EquationTranslation->Semantics.EquationTranslation.translateChannelMatrix - - -contains - - - -Semantics.EquationTranslation.translateMimoChannel - -def -translateMimoChannel - - - -Semantics.EquationTranslation->Semantics.EquationTranslation.translateMimoChannel - - -contains - - - -Semantics.EquationTranslation.fluidGasOrPlasmaRegime - -def -fluidGasOrPlasmaRegime - - - -Semantics.EquationTranslation->Semantics.EquationTranslation.fluidGasOrPlasmaRegime - - -contains - - - -Semantics.EquationTranslation.fluidGasOrPlasmaRegimeFromMultiPath - -def -fluidGasOrPlasmaRegimeFromMultiPath - - - -Semantics.EquationTranslation->Semantics.EquationTranslation.fluidGasOrPlasmaRegimeFromMultiPath - - -contains - - - -Semantics.EquationTranslation.plasmaRegimeFromChannelField - -def -plasmaRegimeFromChannelField - - - -Semantics.EquationTranslation->Semantics.EquationTranslation.plasmaRegimeFromChannelField - - -contains - - - -Semantics.EquationTranslation.plasmaManifoldRegimeFromChannelField - -def -plasmaManifoldRegimeFromChannelField - - - -Semantics.EquationTranslation->Semantics.EquationTranslation.plasmaManifoldRegimeFromChannelField - - -contains - - - -Semantics.EquationTranslation.translateObservedChannel - -def -translateObservedChannel - - - -Semantics.EquationTranslation->Semantics.EquationTranslation.translateObservedChannel - - -contains - - - -Semantics.ErdosRenyiPipeline - -module -ErdosRenyiPipeline - - - -Semantics.ErdosRenyiPipeline.sidon_iff_no_collision - -theorem -sidon_iff_no_collision - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.sidon_iff_no_collision - - -contains - - - -Semantics.ErdosRenyiPipeline.collisionEnergy_nonneg - -theorem -collisionEnergy_nonneg - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.collisionEnergy_nonneg - - -contains - - - -Semantics.ErdosRenyiPipeline.collisionEnergy_zero_iff - -theorem -collisionEnergy_zero_iff - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.collisionEnergy_zero_iff - - -contains - - - -Semantics.ErdosRenyiPipeline.erdos_renyi_bridge - -theorem -erdos_renyi_bridge - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.erdos_renyi_bridge - - -contains - - - -Semantics.ErdosRenyiPipeline.mott_threshold - -theorem -mott_threshold - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.mott_threshold - - -contains - - - -Semantics.ErdosRenyiPipeline.sidon_zero_quadruplons - -theorem -sidon_zero_quadruplons - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.sidon_zero_quadruplons - - -contains - - - -Semantics.ErdosRenyiPipeline.quadruplon_supercritical - -theorem -quadruplon_supercritical - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.quadruplon_supercritical - - -contains - - - -Semantics.ErdosRenyiPipeline.c36_preserves_collisions - -theorem -c36_preserves_collisions - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.c36_preserves_collisions - - -contains - - - -Semantics.ErdosRenyiPipeline.c36_gap_preservation - -theorem -c36_gap_preservation - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.c36_gap_preservation - - -contains - - - -Semantics.ErdosRenyiPipeline.c36_sidon_consequence - -theorem -c36_sidon_consequence - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.c36_sidon_consequence - - -contains - - - -Semantics.ErdosRenyiPipeline.unified_phase_transition - -theorem -unified_phase_transition - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.unified_phase_transition - - -contains - - - -Semantics.ErdosRenyiPipeline.structure_bonus - -theorem -structure_bonus - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.structure_bonus - - -contains - - - -Semantics.ErdosRenyiPipeline.crt_sieve_iff_not_prime_pow - -theorem -crt_sieve_iff_not_prime_pow - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.crt_sieve_iff_not_prime_pow - - -contains - - - -Semantics.ErdosRenyiPipeline.prime_barrier_k10 - -theorem -prime_barrier_k10 - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.prime_barrier_k10 - - -contains - - - -Semantics.ErdosRenyiPipeline.pipeline_with_erdos_renyi - -theorem -pipeline_with_erdos_renyi - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.pipeline_with_erdos_renyi - - -contains - - - -Semantics.ErdosRenyiPipeline.rcp_pipeline_ordering - -theorem -rcp_pipeline_ordering - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.rcp_pipeline_ordering - - -contains - - - -Semantics.ErdosRenyiPipeline.pipeline_kissing_ratio - -theorem -pipeline_kissing_ratio - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.pipeline_kissing_ratio - - -contains - - - -Semantics.ErdosRenyiPipeline.sidon_regime_below_φ_LT - -theorem -sidon_regime_below_φ_LT - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.sidon_regime_below_φ_LT - - -contains - - - -Semantics.ErdosRenyiPipeline.mott_regime_bounded_by_φ_RCP - -theorem -mott_regime_bounded_by_φ_RCP - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.mott_regime_bounded_by_φ_RCP - - -contains - - - -Semantics.ErdosRenyiPipeline.lattice_ordering_gap - -theorem -lattice_ordering_gap - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.lattice_ordering_gap - - -contains - - - -Semantics.ErdosRenyiPipeline.rcp_phases_partition - -theorem -rcp_phases_partition - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.rcp_phases_partition - - -contains - - - -Semantics.ErdosRenyiPipeline.IsGap - -def -IsGap - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.IsGap - - -contains - - - -Semantics.ErdosRenyiPipeline.IsLosslessMap - -def -IsLosslessMap - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.IsLosslessMap - - -contains - - - -Semantics.ErdosRenyiPipeline.IsSidonSet - -def -IsSidonSet - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.IsSidonSet - - -contains - - - -Semantics.ErdosRenyiPipeline.repunit - -def -repunit - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.repunit - - -contains - - - -Semantics.ErdosRenyiPipeline.goormaghtighCollision - -def -goormaghtighCollision - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.goormaghtighCollision - - -contains - - - -Semantics.ErdosRenyiPipeline.c36_map - -def -c36_map - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.c36_map - - -contains - - - -Semantics.ErdosRenyiPipeline.strand_sidon - -def -strand_sidon - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.strand_sidon - - -contains - - - -Semantics.ErdosRenyiPipeline.strand_n3l - -def -strand_n3l - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.strand_n3l - - -contains - - - -Semantics.ErdosRenyiPipeline.strand_erdos_renyi - -def -strand_erdos_renyi - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.strand_erdos_renyi - - -contains - - - -Semantics.ErdosRenyiPipeline.StagedCRTSieve - -def -StagedCRTSieve - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.StagedCRTSieve - - -contains - - - -Semantics.ErdosRenyiPipeline.pipelineKissingE8sq - -def -pipelineKissingE8sq - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.pipelineKissingE8sq - - -contains - - - -Semantics.ErdosRenyiPipeline.pipelineKissingBW16 - -def -pipelineKissingBW16 - - - -Semantics.ErdosRenyiPipeline->Semantics.ErdosRenyiPipeline.pipelineKissingBW16 - - -contains - - - -Semantics.Errors - -module -Errors - - - -Semantics.Errors.classifyErrorAttention - -def -classifyErrorAttention - - - -Semantics.Errors->Semantics.Errors.classifyErrorAttention - - -contains - - - -Semantics.Errors.classifyScaffoldingRole - -def -classifyScaffoldingRole - - - -Semantics.Errors->Semantics.Errors.classifyScaffoldingRole - - -contains - - - -Semantics.Errors.classifyUrgency - -def -classifyUrgency - - - -Semantics.Errors->Semantics.Errors.classifyUrgency - - -contains - - - -Semantics.Errors.stableForScaffolding - -def -stableForScaffolding - - - -Semantics.Errors->Semantics.Errors.stableForScaffolding - - -contains - - - -Semantics.Errors.classifyErrorField - -def -classifyErrorField - - - -Semantics.Errors->Semantics.Errors.classifyErrorField - - -contains - - - -Semantics.Errors.requiresImmediateAction - -def -requiresImmediateAction - - - -Semantics.Errors->Semantics.Errors.requiresImmediateAction - - -contains - - - -Semantics.Errors.respondToError - -def -respondToError - - - -Semantics.Errors->Semantics.Errors.respondToError - - -contains - - - -Semantics.Errors.dimensionalScaffoldError - -def -dimensionalScaffoldError - - - -Semantics.Errors->Semantics.Errors.dimensionalScaffoldError - - -contains - - - -Semantics.Errors.directAttentionError - -def -directAttentionError - - - -Semantics.Errors->Semantics.Errors.directAttentionError - - -contains - - - -Semantics.Errors.aliasError - -def -aliasError - - - -Semantics.Errors->Semantics.Errors.aliasError - - -contains - - - -Semantics.Errors->Semantics.FixedPoint - - -imports - - - -Semantics.EtaMoE - -module -EtaMoE - - - -Semantics.EtaMoE.etaBounded - -theorem -etaBounded - - - -Semantics.EtaMoE->Semantics.EtaMoE.etaBounded - - -contains - - - -Semantics.EtaMoE.noInfiniteEfficiency - -theorem -noInfiniteEfficiency - - - -Semantics.EtaMoE->Semantics.EtaMoE.noInfiniteEfficiency - - -contains - - - -Semantics.EtaMoE.gatingBounded - -theorem -gatingBounded - - - -Semantics.EtaMoE->Semantics.EtaMoE.gatingBounded - - -contains - - - -Semantics.EtaMoE.arityValid - -def -arityValid - - - -Semantics.EtaMoE->Semantics.EtaMoE.arityValid - - -contains - - - -Semantics.EtaMoE.overheadValid - -def -overheadValid - - - -Semantics.EtaMoE->Semantics.EtaMoE.overheadValid - - -contains - - - -Semantics.EtaMoE.gatingValid - -def -gatingValid - - - -Semantics.EtaMoE->Semantics.EtaMoE.gatingValid - - -contains - - - -Semantics.EtaMoE.expertValid - -def -expertValid - - - -Semantics.EtaMoE->Semantics.EtaMoE.expertValid - - -contains - - - -Semantics.EtaMoE.numeratorTerm - -def -numeratorTerm - - - -Semantics.EtaMoE->Semantics.EtaMoE.numeratorTerm - - -contains - - - -Semantics.EtaMoE.denominatorTerm - -def -denominatorTerm - - - -Semantics.EtaMoE->Semantics.EtaMoE.denominatorTerm - - -contains - - - -Semantics.EtaMoE.platformCost - -def -platformCost - - - -Semantics.EtaMoE->Semantics.EtaMoE.platformCost - - -contains - - - -Semantics.EtaMoE.landauerCost - -def -landauerCost - - - -Semantics.EtaMoE->Semantics.EtaMoE.landauerCost - - -contains - - - -Semantics.EtaMoE.etaMoE - -def -etaMoE - - - -Semantics.EtaMoE->Semantics.EtaMoE.etaMoE - - -contains - - - -Semantics.EtaMoE.twoExpertEta - -def -twoExpertEta - - - -Semantics.EtaMoE->Semantics.EtaMoE.twoExpertEta - - -contains - - - -Semantics.EtaMoE.gatingSigmoid - -def -gatingSigmoid - - - -Semantics.EtaMoE->Semantics.EtaMoE.gatingSigmoid - - -contains - - - -Semantics.EtaMoE.exampleCognitiveControl - -def -exampleCognitiveControl - - - -Semantics.EtaMoE->Semantics.EtaMoE.exampleCognitiveControl - - -contains - - - -Semantics.EtaMoE.exampleSwarmRewiredExpert - -def -exampleSwarmRewiredExpert - - - -Semantics.EtaMoE->Semantics.EtaMoE.exampleSwarmRewiredExpert - - -contains - - - -Semantics.EthereumRGFlow - -module -EthereumRGFlow - - - -Semantics.EthereumRGFlow.lawfulReflexive - -theorem -lawfulReflexive - - - -Semantics.EthereumRGFlow->Semantics.EthereumRGFlow.lawfulReflexive - - -contains - - - -Semantics.EthereumRGFlow.ethereumInformationalBind - -def -ethereumInformationalBind - - - -Semantics.EthereumRGFlow->Semantics.EthereumRGFlow.ethereumInformationalBind - - -contains - - - -Semantics.EthereumRGFlow.rollingWindowQ16 - -def -rollingWindowQ16 - - - -Semantics.EthereumRGFlow->Semantics.EthereumRGFlow.rollingWindowQ16 - - -contains - - - -Semantics.EthereumRGFlow.Q1616 - -def -Q1616 - - - -Semantics.EthereumRGFlow->Semantics.EthereumRGFlow.Q1616 - - -contains - - - -Semantics.EthereumRGFlow.safeStdQ16 - -def -safeStdQ16 - - - -Semantics.EthereumRGFlow->Semantics.EthereumRGFlow.safeStdQ16 - - -contains - - - -Semantics.EthereumRGFlow.logReturnsQ16 - -def -logReturnsQ16 - - - -Semantics.EthereumRGFlow->Semantics.EthereumRGFlow.logReturnsQ16 - - -contains - - - -Semantics.EthereumRGFlow.computeSigmaQQ16 - -def -computeSigmaQQ16 - - - -Semantics.EthereumRGFlow->Semantics.EthereumRGFlow.computeSigmaQQ16 - - -contains - - - -Semantics.EthereumRGFlow.isLawfulRGFlowQ16 - -def -isLawfulRGFlowQ16 - - - -Semantics.EthereumRGFlow->Semantics.EthereumRGFlow.isLawfulRGFlowQ16 - - -contains - - - -Semantics.EthereumRGFlow.computeMuQQ16 - -def -computeMuQQ16 - - - -Semantics.EthereumRGFlow->Semantics.EthereumRGFlow.computeMuQQ16 - - -contains - - - -Semantics.EthereumRGFlow.ethereumRGFlowAnalysisQ16 - -def -ethereumRGFlowAnalysisQ16 - - - -Semantics.EthereumRGFlow->Semantics.EthereumRGFlow.ethereumRGFlowAnalysisQ16 - - -contains - - - -Semantics.EthereumRGFlow.batchEthereumRGFlowQ16 - -def -batchEthereumRGFlowQ16 - - - -Semantics.EthereumRGFlow->Semantics.EthereumRGFlow.batchEthereumRGFlowQ16 - - -contains - - - -Semantics.EthereumRGFlow->Semantics.SSMS - - -imports - - - -Semantics.Evolution - -module -Evolution - - - -Semantics.Evolution.no_evolution_without_auditability - -theorem -no_evolution_without_auditability - - - -Semantics.Evolution->Semantics.Evolution.no_evolution_without_auditability - - -contains - - - -Semantics.Evolution.no_evolution_without_replayability - -theorem -no_evolution_without_replayability - - - -Semantics.Evolution->Semantics.Evolution.no_evolution_without_replayability - - -contains - - - -Semantics.Evolution.no_epistemic_self_erasure - -theorem -no_epistemic_self_erasure - - - -Semantics.Evolution->Semantics.Evolution.no_epistemic_self_erasure - - -contains - - - -Semantics.Evolution.capability_legibility_coupled - -theorem -capability_legibility_coupled - - - -Semantics.Evolution->Semantics.Evolution.capability_legibility_coupled - - -contains - - - -Semantics.Evolution.computeEvolutionChristoffel - -def -computeEvolutionChristoffel - - - -Semantics.Evolution->Semantics.Evolution.computeEvolutionChristoffel - - -contains - - - -Semantics.Evolution.evolutionCos - -def -evolutionCos - - - -Semantics.Evolution->Semantics.Evolution.evolutionCos - - -contains - - - -Semantics.Evolution.computeEvolutionFrustration - -def -computeEvolutionFrustration - - - -Semantics.Evolution->Semantics.Evolution.computeEvolutionFrustration - - -contains - - - -Semantics.Evolution.computeEvolutionLockingEnergy - -def -computeEvolutionLockingEnergy - - - -Semantics.Evolution->Semantics.Evolution.computeEvolutionLockingEnergy - - -contains - - - -Semantics.Evolution.updateEvolutionStateFromGeometry - -def -updateEvolutionStateFromGeometry - - - -Semantics.Evolution->Semantics.Evolution.updateEvolutionStateFromGeometry - - -contains - - - -Semantics.Evolution.updateEvolutionStateFromChristoffel - -def -updateEvolutionStateFromChristoffel - - - -Semantics.Evolution->Semantics.Evolution.updateEvolutionStateFromChristoffel - - -contains - - - -Semantics.Evolution.EvolutionAdmissible - -def -EvolutionAdmissible - - - -Semantics.Evolution->Semantics.Evolution.EvolutionAdmissible - - -contains - - - -Semantics.Evolution.preservesAtomicGrounding - -def -preservesAtomicGrounding - - - -Semantics.Evolution->Semantics.Evolution.preservesAtomicGrounding - - -contains - - - -Semantics.Evolution.preservesProjectionContract - -def -preservesProjectionContract - - - -Semantics.Evolution->Semantics.Evolution.preservesProjectionContract - - -contains - - - -Semantics.Witness - -module -Witness - - - -Semantics.Evolution->Semantics.Witness - - -imports - - - -Semantics.ExoticSpacetime - -module -ExoticSpacetime - - - -Semantics.ExoticSpacetime.zeroDifferential - -def -zeroDifferential - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.zeroDifferential - - -contains - - - -Semantics.ExoticSpacetime.unitCone - -def -unitCone - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.unitCone - - -contains - - - -Semantics.ExoticSpacetime.classifySignature - -def -classifySignature - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.classifySignature - - -contains - - - -Semantics.ExoticSpacetime.temporalRatio - -def -temporalRatio - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.temporalRatio - - -contains - - - -Semantics.ExoticSpacetime.temporalGradient - -def -temporalGradient - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.temporalGradient - - -contains - - - -Semantics.ExoticSpacetime.classifyTemporalRegime - -def -classifyTemporalRegime - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.classifyTemporalRegime - - -contains - - - -Semantics.ExoticSpacetime.permitsTimelikeTraversal - -def -permitsTimelikeTraversal - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.permitsTimelikeTraversal - - -contains - - - -Semantics.ExoticSpacetime.differentialCompatible - -def -differentialCompatible - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.differentialCompatible - - -contains - - - -Semantics.ExoticSpacetime.causalStatusFor - -def -causalStatusFor - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.causalStatusFor - - -contains - - - -Semantics.ExoticSpacetime.applyTemporalDifferential - -def -applyTemporalDifferential - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.applyTemporalDifferential - - -contains - - - -Semantics.ExoticSpacetime.findRegionProfile - -def -findRegionProfile - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.findRegionProfile - - -contains - - - -Semantics.ExoticSpacetime.findConnector - -def -findConnector - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.findConnector - - -contains - - - -Semantics.ExoticSpacetime.connectorMatchesRequest - -def -connectorMatchesRequest - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.connectorMatchesRequest - - -contains - - - -Semantics.ExoticSpacetime.traverseExoticTransition - -def -traverseExoticTransition - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.traverseExoticTransition - - -contains - - - -Semantics.ExoticSpacetime.flatlandRegionProfile - -def -flatlandRegionProfile - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.flatlandRegionProfile - - -contains - - - -Semantics.ExoticSpacetime.wormholeRegionProfile - -def -wormholeRegionProfile - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.wormholeRegionProfile - - -contains - - - -Semantics.ExoticSpacetime.defaultWormholeConnector - -def -defaultWormholeConnector - - - -Semantics.ExoticSpacetime->Semantics.ExoticSpacetime.defaultWormholeConnector - - -contains - - - -Semantics.ExoticSpacetime->Semantics.PhysicsScalarBridge - - -imports - - - -Semantics.ExperienceCompression - -module -ExperienceCompression - - - -Semantics.ExperienceCompression.l3HigherThanL0 - -theorem -l3HigherThanL0 - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.l3HigherThanL0 - - -contains - - - -Semantics.ExperienceCompression.reusabilityIncreasesWithCompression - -theorem -reusabilityIncreasesWithCompression - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.reusabilityIncreasesWithCompression - - -contains - - - -Semantics.ExperienceCompression.costTradeOff - -theorem -costTradeOff - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.costTradeOff - - -contains - - - -Semantics.ExperienceCompression.noSystemHasAdaptive - -theorem -noSystemHasAdaptive - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.noSystemHasAdaptive - - -contains - - - -Semantics.ExperienceCompression.compressionSoundness - -theorem -compressionSoundness - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.compressionSoundness - - -contains - - - -Semantics.ExperienceCompression.l2MoreEfficientThanL1 - -theorem -l2MoreEfficientThanL1 - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.l2MoreEfficientThanL1 - - -contains - - - -Semantics.ExperienceCompression.zero - -def -zero - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.zero - - -contains - - - -Semantics.ExperienceCompression.one - -def -one - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.one - - -contains - - - -Semantics.ExperienceCompression.ofNat - -def -ofNat - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.ofNat - - -contains - - - -Semantics.ExperienceCompression.add - -def -add - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.add - - -contains - - - -Semantics.ExperienceCompression.sub - -def -sub - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.sub - - -contains - - - -Semantics.ExperienceCompression.mul - -def -mul - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.mul - - -contains - - - -Semantics.ExperienceCompression.div - -def -div - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.div - - -contains - - - -Semantics.ExperienceCompression.le - -def -le - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.le - - -contains - - - -Semantics.ExperienceCompression.toNat - -def -toNat - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.toNat - - -contains - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.toNat - - -contains - - - -Semantics.ExperienceCompression.higher - -def -higher - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.higher - - -contains - - - -Semantics.ExperienceCompression.forLevel - -def -forLevel - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.forLevel - - -contains - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.forLevel - - -contains - - - -Semantics.ExperienceCompression.compressionBounds - -def -compressionBounds - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.compressionBounds - - -contains - - - -Semantics.ExperienceCompression.validCompressionRatio - -def -validCompressionRatio - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.validCompressionRatio - - -contains - - - -Semantics.ExperienceCompression.acquisitionFor - -def -acquisitionFor - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.acquisitionFor - - -contains - - - -Semantics.ExperienceCompression.maintenanceFor - -def -maintenanceFor - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.maintenanceFor - - -contains - - - -Semantics.ExperienceCompression.fixedLevelSystems - -def -fixedLevelSystems - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.fixedLevelSystems - - -contains - - - -Semantics.ExperienceCompression.missingDiagonal - -def -missingDiagonal - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.missingDiagonal - - -contains - - - -Semantics.ExperienceCompression.adaptiveCompression - -def -adaptiveCompression - - - -Semantics.ExperienceCompression->Semantics.ExperienceCompression.adaptiveCompression - - -contains - - - -Semantics.ExperimentTracker - -module -ExperimentTracker - - - -Semantics.ExperimentTracker.for - -theorem -for - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.for - - -contains - - - -Semantics.ExperimentTracker.gradeA_plus_correct - -theorem -gradeA_plus_correct - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.gradeA_plus_correct - - -contains - - - -Semantics.ExperimentTracker.gradeF_correct - -theorem -gradeF_correct - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.gradeF_correct - - -contains - - - -Semantics.ExperimentTracker.gradeBoundary_0 - -theorem -gradeBoundary_0 - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.gradeBoundary_0 - - -contains - - - -Semantics.ExperimentTracker.gradeBoundary_1 - -theorem -gradeBoundary_1 - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.gradeBoundary_1 - - -contains - - - -Semantics.ExperimentTracker.gradeBoundary_2 - -theorem -gradeBoundary_2 - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.gradeBoundary_2 - - -contains - - - -Semantics.ExperimentTracker.gradeBoundary_3 - -theorem -gradeBoundary_3 - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.gradeBoundary_3 - - -contains - - - -Semantics.ExperimentTracker.gradeBoundary_4 - -theorem -gradeBoundary_4 - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.gradeBoundary_4 - - -contains - - - -Semantics.ExperimentTracker.gradeBoundary_5 - -theorem -gradeBoundary_5 - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.gradeBoundary_5 - - -contains - - - -Semantics.ExperimentTracker.gradeBoundary_6 - -theorem -gradeBoundary_6 - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.gradeBoundary_6 - - -contains - - - -Semantics.ExperimentTracker.gradeBoundary_7 - -theorem -gradeBoundary_7 - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.gradeBoundary_7 - - -contains - - - -Semantics.ExperimentTracker.PredictionOutcome - -def -PredictionOutcome - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.PredictionOutcome - - -contains - - - -Semantics.ExperimentTracker.checkPrediction - -def -checkPrediction - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.checkPrediction - - -contains - - - -Semantics.ExperimentTracker.countOutcome - -def -countOutcome - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.countOutcome - - -contains - - - -Semantics.ExperimentTracker.assignGrade - -def -assignGrade - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.assignGrade - - -contains - - - -Semantics.ExperimentTracker.generateReceipt - -def -generateReceipt - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.generateReceipt - - -contains - - - -Semantics.ExperimentTracker.initialOutcomes - -def -initialOutcomes - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.initialOutcomes - - -contains - - - -Semantics.ExperimentTracker.scenarioA_minus - -def -scenarioA_minus - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.scenarioA_minus - - -contains - - - -Semantics.ExperimentTracker.scenarioA_plus - -def -scenarioA_plus - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.scenarioA_plus - - -contains - - - -Semantics.ExperimentTracker.initialReceipt - -def -initialReceipt - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.initialReceipt - - -contains - - - -Semantics.ExperimentTracker.receiptA_minus - -def -receiptA_minus - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.receiptA_minus - - -contains - - - -Semantics.ExperimentTracker.receiptA_plus - -def -receiptA_plus - - - -Semantics.ExperimentTracker->Semantics.ExperimentTracker.receiptA_plus - - -contains - - - -Semantics.ExtendedManifoldEncoding - -module -ExtendedManifoldEncoding - - - -Semantics.ExtendedManifoldEncoding.pist_reconstruction - -theorem -pist_reconstruction - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.pist_reconstruction - - -contains - - - -Semantics.ExtendedManifoldEncoding.tree_address_length - -theorem -tree_address_length - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.tree_address_length - - -contains - - - -Semantics.ExtendedManifoldEncoding.tree_address_deterministic - -theorem -tree_address_deterministic - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.tree_address_deterministic - - -contains - - - -Semantics.ExtendedManifoldEncoding.coordinate_helicity_preserved - -theorem -coordinate_helicity_preserved - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.coordinate_helicity_preserved - - -contains - - - -Semantics.ExtendedManifoldEncoding.surface_y_inverse - -theorem -surface_y_inverse - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.surface_y_inverse - - -contains - - - -Semantics.ExtendedManifoldEncoding.surface_y_decreasing - -theorem -surface_y_decreasing - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.surface_y_decreasing - - -contains - - - -Semantics.ExtendedManifoldEncoding.torus_angles_bounded - -theorem -torus_angles_bounded - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.torus_angles_bounded - - -contains - - - -Semantics.ExtendedManifoldEncoding.phi_orbit_distinct_for_bounded - -theorem -phi_orbit_distinct_for_bounded - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.phi_orbit_distinct_for_bounded - - -contains - - - -Semantics.ExtendedManifoldEncoding.composite_address_deterministic - -theorem -composite_address_deterministic - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.composite_address_deterministic - - -contains - - - -Semantics.ExtendedManifoldEncoding.address_reconstructs_linear - -theorem -address_reconstructs_linear - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.address_reconstructs_linear - - -contains - - - -Semantics.ExtendedManifoldEncoding.intersection_subset - -theorem -intersection_subset - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.intersection_subset - - -contains - - - -Semantics.ExtendedManifoldEncoding.intersection_partition - -theorem -intersection_partition - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.intersection_partition - - -contains - - - -Semantics.ExtendedManifoldEncoding.exchange_pool_bounded - -theorem -exchange_pool_bounded - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.exchange_pool_bounded - - -contains - - - -Semantics.ExtendedManifoldEncoding.collapse_preserves_pist - -theorem -collapse_preserves_pist - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.collapse_preserves_pist - - -contains - - - -Semantics.ExtendedManifoldEncoding.substrate_bounded - -theorem -substrate_bounded - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.substrate_bounded - - -contains - - - -Semantics.ExtendedManifoldEncoding.adaptive_basis_dim_monotone - -theorem -adaptive_basis_dim_monotone - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.adaptive_basis_dim_monotone - - -contains - - - -Semantics.ExtendedManifoldEncoding.adaptive_confidence_decreasing - -theorem -adaptive_confidence_decreasing - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.adaptive_confidence_decreasing - - -contains - - - -Semantics.ExtendedManifoldEncoding.composite_encoding_deterministic - -theorem -composite_encoding_deterministic - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.composite_encoding_deterministic - - -contains - - - -Semantics.ExtendedManifoldEncoding.composite_reversibility - -theorem -composite_reversibility - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.composite_reversibility - - -contains - - - -Semantics.ExtendedManifoldEncoding.gear_ratio_minimum - -theorem -gear_ratio_minimum - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.gear_ratio_minimum - - -contains - - - -Semantics.ExtendedManifoldEncoding.gearRatio_eqn - -theorem -gearRatio_eqn - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.gearRatio_eqn - - -contains - - - -Semantics.ExtendedManifoldEncoding.gear_ratio_monotone_repeat - -theorem -gear_ratio_monotone_repeat - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.gear_ratio_monotone_repeat - - -contains - - - -Semantics.ExtendedManifoldEncoding.defensive_when_score_positive - -theorem -defensive_when_score_positive - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.defensive_when_score_positive - - -contains - - - -Semantics.ExtendedManifoldEncoding.pistK - -def -pistK - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.pistK - - -contains - - - -Semantics.ExtendedManifoldEncoding.pistT - -def -pistT - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.pistT - - -contains - - - -Semantics.ExtendedManifoldEncoding.pistMass - -def -pistMass - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.pistMass - - -contains - - - -Semantics.ExtendedManifoldEncoding.pistMirror - -def -pistMirror - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.pistMirror - - -contains - - - -Semantics.ExtendedManifoldEncoding.TreeAddress - -def -TreeAddress - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.TreeAddress - - -contains - - - -Semantics.ExtendedManifoldEncoding.treeAddress - -def -treeAddress - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.treeAddress - - -contains - - - -Semantics.ExtendedManifoldEncoding.treeDepthDistribution - -def -treeDepthDistribution - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.treeDepthDistribution - - -contains - - - -Semantics.ExtendedManifoldEncoding.coordinateHelicity - -def -coordinateHelicity - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.coordinateHelicity - - -contains - - - -Semantics.ExtendedManifoldEncoding.PHI - -def -PHI - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.PHI - - -contains - - - -Semantics.ExtendedManifoldEncoding.surfaceCoord - -def -surfaceCoord - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.surfaceCoord - - -contains - - - -Semantics.ExtendedManifoldEncoding.torusAngles - -def -torusAngles - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.torusAngles - - -contains - - - -Semantics.ExtendedManifoldEncoding.TREE_DEPTH - -def -TREE_DEPTH - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.TREE_DEPTH - - -contains - - - -Semantics.ExtendedManifoldEncoding.compositeAddress - -def -compositeAddress - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.compositeAddress - - -contains - - - -Semantics.ExtendedManifoldEncoding.BridgeOp - -def -BridgeOp - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.BridgeOp - - -contains - - - -Semantics.ExtendedManifoldEncoding.hadamardBridge - -def -hadamardBridge - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.hadamardBridge - - -contains - - - -Semantics.ExtendedManifoldEncoding.xorBridge - -def -xorBridge - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.xorBridge - - -contains - - - -Semantics.ExtendedManifoldEncoding.meanBridge - -def -meanBridge - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.meanBridge - - -contains - - - -Semantics.ExtendedManifoldEncoding.extractIntersection - -def -extractIntersection - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.extractIntersection - - -contains - - - -Semantics.ExtendedManifoldEncoding.fuseBridge - -def -fuseBridge - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.fuseBridge - - -contains - - - -Semantics.ExtendedManifoldEncoding.buildFusedBasis - -def -buildFusedBasis - - - -Semantics.ExtendedManifoldEncoding->Semantics.ExtendedManifoldEncoding.buildFusedBasis - - -contains - - - -Semantics.Extensions.AdvancedBioDynamics - -module -AdvancedBioDynamics - - - -Semantics.Extensions.AdvancedBioDynamics.freeEnergySurprisal - -def -freeEnergySurprisal - - - -Semantics.Extensions.AdvancedBioDynamics->Semantics.Extensions.AdvancedBioDynamics.freeEnergySurprisal - - -contains - - - -Semantics.Extensions.AdvancedBioDynamics.fisherDeltaFitness - -def -fisherDeltaFitness - - - -Semantics.Extensions.AdvancedBioDynamics->Semantics.Extensions.AdvancedBioDynamics.fisherDeltaFitness - - -contains - - - -Semantics.Extensions.AdvancedBioDynamics.neutralEvolutionRate - -def -neutralEvolutionRate - - - -Semantics.Extensions.AdvancedBioDynamics->Semantics.Extensions.AdvancedBioDynamics.neutralEvolutionRate - - -contains - - - -Semantics.Extensions.AdvancedBioDynamics.wilsonCowanUpdate - -def -wilsonCowanUpdate - - - -Semantics.Extensions.AdvancedBioDynamics->Semantics.Extensions.AdvancedBioDynamics.wilsonCowanUpdate - - -contains - - - -Semantics.Extensions.AdvancedBioDynamics.remodelingError - -def -remodelingError - - - -Semantics.Extensions.AdvancedBioDynamics->Semantics.Extensions.AdvancedBioDynamics.remodelingError - - -contains - - - -Semantics.Extensions.AnimalSignalingLaws - -module -AnimalSignalingLaws - - - -Semantics.Extensions.AnimalSignalingLaws.signalFitness - -def -signalFitness - - - -Semantics.Extensions.AnimalSignalingLaws->Semantics.Extensions.AnimalSignalingLaws.signalFitness - - -contains - - - -Semantics.Extensions.AnimalSignalingLaws.isHonestyStable - -def -isHonestyStable - - - -Semantics.Extensions.AnimalSignalingLaws->Semantics.Extensions.AnimalSignalingLaws.isHonestyStable - - -contains - - - -Semantics.Extensions.AnimalSignalingLaws.checkHonestEquilibrium - -def -checkHonestEquilibrium - - - -Semantics.Extensions.AnimalSignalingLaws->Semantics.Extensions.AnimalSignalingLaws.checkHonestEquilibrium - - -contains - - - -Semantics.Extensions.AnimalSocialAerodynamics - -module -AnimalSocialAerodynamics - - - -Semantics.Extensions.AnimalSocialAerodynamics.isInputMatched - -def -isInputMatched - - - -Semantics.Extensions.AnimalSocialAerodynamics->Semantics.Extensions.AnimalSocialAerodynamics.isInputMatched - - -contains - - - -Semantics.Extensions.AnimalSocialAerodynamics.isFitnessEquilibrated - -def -isFitnessEquilibrated - - - -Semantics.Extensions.AnimalSocialAerodynamics->Semantics.Extensions.AnimalSocialAerodynamics.isFitnessEquilibrated - - -contains - - - -Semantics.Extensions.AnimalSocialAerodynamics.upwashVelocity - -def -upwashVelocity - - - -Semantics.Extensions.AnimalSocialAerodynamics->Semantics.Extensions.AnimalSocialAerodynamics.upwashVelocity - - -contains - - - -Semantics.Extensions.AnimalSocialAerodynamics.formationDragReduction - -def -formationDragReduction - - - -Semantics.Extensions.AnimalSocialAerodynamics->Semantics.Extensions.AnimalSocialAerodynamics.formationDragReduction - - -contains - - - -Semantics.Extensions.AnimalSocialAerodynamics.formationRangeBoost - -def -formationRangeBoost - - - -Semantics.Extensions.AnimalSocialAerodynamics->Semantics.Extensions.AnimalSocialAerodynamics.formationRangeBoost - - -contains - - - -Semantics.Extensions.AuditoryMaskingDynamics - -module -AuditoryMaskingDynamics - - - -Semantics.Extensions.AuditoryMaskingDynamics.upperMaskingSlope - -def -upperMaskingSlope - - - -Semantics.Extensions.AuditoryMaskingDynamics->Semantics.Extensions.AuditoryMaskingDynamics.upperMaskingSlope - - -contains - - - -Semantics.Extensions.AuditoryMaskingDynamics.signalToMaskRatio - -def -signalToMaskRatio - - - -Semantics.Extensions.AuditoryMaskingDynamics->Semantics.Extensions.AuditoryMaskingDynamics.signalToMaskRatio - - -contains - - - -Semantics.Extensions.AuditoryMaskingDynamics.isSignalSalient - -def -isSignalSalient - - - -Semantics.Extensions.AuditoryMaskingDynamics->Semantics.Extensions.AuditoryMaskingDynamics.isSignalSalient - - -contains - - - -Semantics.Extensions.AuditoryMaskingDynamics.specificLoudness - -def -specificLoudness - - - -Semantics.Extensions.AuditoryMaskingDynamics->Semantics.Extensions.AuditoryMaskingDynamics.specificLoudness - - -contains - - - -Semantics.Extensions.AuditoryMaskingDynamics.totalLoudness - -def -totalLoudness - - - -Semantics.Extensions.AuditoryMaskingDynamics->Semantics.Extensions.AuditoryMaskingDynamics.totalLoudness - - -contains - - - -Semantics.Extensions.AuditoryMechanicsLaws - -module -AuditoryMechanicsLaws - - - -Semantics.Extensions.AuditoryMechanicsLaws.localResonanceForce - -def -localResonanceForce - - - -Semantics.Extensions.AuditoryMechanicsLaws->Semantics.Extensions.AuditoryMechanicsLaws.localResonanceForce - - -contains - - - -Semantics.Extensions.AuditoryMechanicsLaws.travelingWavePhase - -def -travelingWavePhase - - - -Semantics.Extensions.AuditoryMechanicsLaws->Semantics.Extensions.AuditoryMechanicsLaws.travelingWavePhase - - -contains - - - -Semantics.Extensions.AuditoryMechanicsLaws.characteristicFrequency - -def -characteristicFrequency - - - -Semantics.Extensions.AuditoryMechanicsLaws->Semantics.Extensions.AuditoryMechanicsLaws.characteristicFrequency - - -contains - - - -Semantics.Extensions.AuditoryMechanicsLaws.activeAmplifierDrift - -def -activeAmplifierDrift - - - -Semantics.Extensions.AuditoryMechanicsLaws->Semantics.Extensions.AuditoryMechanicsLaws.activeAmplifierDrift - - -contains - - - -Semantics.Extensions.AuditoryPerceptionLaws - -module -AuditoryPerceptionLaws - - - -Semantics.Extensions.AuditoryPerceptionLaws.frequencyToBark - -def -frequencyToBark - - - -Semantics.Extensions.AuditoryPerceptionLaws->Semantics.Extensions.AuditoryPerceptionLaws.frequencyToBark - - -contains - - - -Semantics.Extensions.AuditoryPerceptionLaws.criticalBandwidth - -def -criticalBandwidth - - - -Semantics.Extensions.AuditoryPerceptionLaws->Semantics.Extensions.AuditoryPerceptionLaws.criticalBandwidth - - -contains - - - -Semantics.Extensions.AuditoryPerceptionLaws.equalLoudnessSPL - -def -equalLoudnessSPL - - - -Semantics.Extensions.AuditoryPerceptionLaws->Semantics.Extensions.AuditoryPerceptionLaws.equalLoudnessSPL - - -contains - - - -Semantics.Extensions.BettiSwoosh - -module -BettiSwoosh - - - -Semantics.Extensions.BettiSwoosh.hodge_decomposition - -theorem -hodge_decomposition - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.hodge_decomposition - - -contains - - - -Semantics.Extensions.BettiSwoosh.betti_from_hodge - -theorem -betti_from_hodge - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.betti_from_hodge - - -contains - - - -Semantics.Extensions.BettiSwoosh.swoosh_theorem - -theorem -swoosh_theorem - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.swoosh_theorem - - -contains - - - -Semantics.Extensions.BettiSwoosh.aci_implies_stability - -theorem -aci_implies_stability - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.aci_implies_stability - - -contains - - - -Semantics.Extensions.BettiSwoosh.ternary_preserves_betti - -theorem -ternary_preserves_betti - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.ternary_preserves_betti - - -contains - - - -Semantics.Extensions.BettiSwoosh.hodge_self_adjoint - -theorem -hodge_self_adjoint - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.hodge_self_adjoint - - -contains - - - -Semantics.Extensions.BettiSwoosh.hodge_positive_semidefinite - -theorem -hodge_positive_semidefinite - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.hodge_positive_semidefinite - - -contains - - - -Semantics.Extensions.BettiSwoosh.hodge_eigenvalues_nonnegative - -theorem -hodge_eigenvalues_nonnegative - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.hodge_eigenvalues_nonnegative - - -contains - - - -Semantics.Extensions.BettiSwoosh.betti_zero_iff_no_harmonic - -theorem -betti_zero_iff_no_harmonic - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.betti_zero_iff_no_harmonic - - -contains - - - -Semantics.Extensions.BettiSwoosh.swooshMergeIdempotent - -theorem -swooshMergeIdempotent - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.swooshMergeIdempotent - - -contains - - - -Semantics.Extensions.BettiSwoosh.swooshMergeCommutative - -theorem -swooshMergeCommutative - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.swooshMergeCommutative - - -contains - - - -Semantics.Extensions.BettiSwoosh.swooshMergeAssociative - -theorem -swooshMergeAssociative - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.swooshMergeAssociative - - -contains - - - -Semantics.Extensions.BettiSwoosh.DirectedSimplex - -def -DirectedSimplex - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.DirectedSimplex - - -contains - - - -Semantics.Extensions.BettiSwoosh.kSkeleton - -def -kSkeleton - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.kSkeleton - - -contains - - - -Semantics.Extensions.BettiSwoosh.kChains - -def -kChains - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.kChains - - -contains - - - -Semantics.Extensions.BettiSwoosh.boundaryOperator - -def -boundaryOperator - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.boundaryOperator - - -contains - - - -Semantics.Extensions.BettiSwoosh.coboundaryOperator - -def -coboundaryOperator - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.coboundaryOperator - - -contains - - - -Semantics.Extensions.BettiSwoosh.hodgeLaplacian - -def -hodgeLaplacian - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.hodgeLaplacian - - -contains - - - -Semantics.Extensions.BettiSwoosh.bettiNumber - -def -bettiNumber - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.bettiNumber - - -contains - - - -Semantics.Extensions.BettiSwoosh.H_M - -def -H_M - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.H_M - - -contains - - - -Semantics.Extensions.BettiSwoosh.spectralFlow - -def -spectralFlow - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.spectralFlow - - -contains - - - -Semantics.Extensions.BettiSwoosh.antiCollisionIdentity - -def -antiCollisionIdentity - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.antiCollisionIdentity - - -contains - - - -Semantics.Extensions.BettiSwoosh.bettiTrajectory - -def -bettiTrajectory - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.bettiTrajectory - - -contains - - - -Semantics.Extensions.BettiSwoosh.detectSwooshes - -def -detectSwooshes - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.detectSwooshes - - -contains - - - -Semantics.Extensions.BettiSwoosh.marketComplexFromCoarseSignal - -def -marketComplexFromCoarseSignal - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.marketComplexFromCoarseSignal - - -contains - - - -Semantics.Extensions.BettiSwoosh.sigmaFromBettiVariation - -def -sigmaFromBettiVariation - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.sigmaFromBettiVariation - - -contains - - - -Semantics.Extensions.BettiSwoosh.hodgeLaplacianMatrix - -def -hodgeLaplacianMatrix - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.hodgeLaplacianMatrix - - -contains - - - -Semantics.Extensions.BettiSwoosh.computeBettiFromMatrix - -def -computeBettiFromMatrix - - - -Semantics.Extensions.BettiSwoosh->Semantics.Extensions.BettiSwoosh.computeBettiFromMatrix - - -contains - - - -Semantics.Extensions.BioComplexSystems - -module -BioComplexSystems - - - -Semantics.Extensions.BioComplexSystems.priceDeltaTrait - -def -priceDeltaTrait - - - -Semantics.Extensions.BioComplexSystems->Semantics.Extensions.BioComplexSystems.priceDeltaTrait - - -contains - - - -Semantics.Extensions.BioComplexSystems.quasispeciesDrift - -def -quasispeciesDrift - - - -Semantics.Extensions.BioComplexSystems->Semantics.Extensions.BioComplexSystems.quasispeciesDrift - - -contains - - - -Semantics.Extensions.BioComplexSystems.mayStabilityMeasure - -def -mayStabilityMeasure - - - -Semantics.Extensions.BioComplexSystems->Semantics.Extensions.BioComplexSystems.mayStabilityMeasure - - -contains - - - -Semantics.Extensions.BioComplexSystems.entropyProductionRate - -def -entropyProductionRate - - - -Semantics.Extensions.BioComplexSystems->Semantics.Extensions.BioComplexSystems.entropyProductionRate - - -contains - - - -Semantics.Extensions.BioComplexSystems.wrightFisherDrift - -def -wrightFisherDrift - - - -Semantics.Extensions.BioComplexSystems->Semantics.Extensions.BioComplexSystems.wrightFisherDrift - - -contains - - - -Semantics.Extensions.BioDeepDive - -module -BioDeepDive - - - -Semantics.Extensions.BioDeepDive.rnaFoldingEnergy - -def -rnaFoldingEnergy - - - -Semantics.Extensions.BioDeepDive->Semantics.Extensions.BioDeepDive.rnaFoldingEnergy - - -contains - - - -Semantics.Extensions.BioDeepDive.dogmaUpdate - -def -dogmaUpdate - - - -Semantics.Extensions.BioDeepDive->Semantics.Extensions.BioDeepDive.dogmaUpdate - - -contains - - - -Semantics.Extensions.BioDeepDive.hillActivation - -def -hillActivation - - - -Semantics.Extensions.BioDeepDive->Semantics.Extensions.BioDeepDive.hillActivation - - -contains - - - -Semantics.Extensions.BioDeepDive.waddingtonPotential - -def -waddingtonPotential - - - -Semantics.Extensions.BioDeepDive->Semantics.Extensions.BioDeepDive.waddingtonPotential - - -contains - - - -Semantics.Extensions.BioDeepDive.reactionDiffusion - -def -reactionDiffusion - - - -Semantics.Extensions.BioDeepDive->Semantics.Extensions.BioDeepDive.reactionDiffusion - - -contains - - - -Semantics.Extensions.BioDeepDive.replicatorStep - -def -replicatorStep - - - -Semantics.Extensions.BioDeepDive->Semantics.Extensions.BioDeepDive.replicatorStep - - -contains - - - -Semantics.Extensions.BioDeepDive.socialRepulsion - -def -socialRepulsion - - - -Semantics.Extensions.BioDeepDive->Semantics.Extensions.BioDeepDive.socialRepulsion - - -contains - - - -Semantics.Extensions.BioElectricalImpedanceLaws - -module -BioElectricalImpedanceLaws - - - -Semantics.Extensions.BioElectricalImpedanceLaws.inducedMembranePotential - -def -inducedMembranePotential - - - -Semantics.Extensions.BioElectricalImpedanceLaws->Semantics.Extensions.BioElectricalImpedanceLaws.inducedMembranePotential - - -contains - - - -Semantics.Extensions.BioElectricalImpedanceLaws.coleColePermittivity - -def -coleColePermittivity - - - -Semantics.Extensions.BioElectricalImpedanceLaws->Semantics.Extensions.BioElectricalImpedanceLaws.coleColePermittivity - - -contains - - - -Semantics.Extensions.BioElectricalImpedanceLaws.identifyDispersion - -def -identifyDispersion - - - -Semantics.Extensions.BioElectricalImpedanceLaws->Semantics.Extensions.BioElectricalImpedanceLaws.identifyDispersion - - -contains - - - -Semantics.Extensions.BioElectroThermodynamics - -module -BioElectroThermodynamics - - - -Semantics.Extensions.BioElectroThermodynamics.nernstPotential - -def -nernstPotential - - - -Semantics.Extensions.BioElectroThermodynamics->Semantics.Extensions.BioElectroThermodynamics.nernstPotential - - -contains - - - -Semantics.Extensions.BioElectroThermodynamics.ghkRestingPotential - -def -ghkRestingPotential - - - -Semantics.Extensions.BioElectroThermodynamics->Semantics.Extensions.BioElectroThermodynamics.ghkRestingPotential - - -contains - - - -Semantics.Extensions.BioElectroThermodynamics.donnanProduct - -def -donnanProduct - - - -Semantics.Extensions.BioElectroThermodynamics->Semantics.Extensions.BioElectroThermodynamics.donnanProduct - - -contains - - - -Semantics.Extensions.BioElectroThermodynamics.gibbsDuhemSum - -def -gibbsDuhemSum - - - -Semantics.Extensions.BioElectroThermodynamics->Semantics.Extensions.BioElectroThermodynamics.gibbsDuhemSum - - -contains - - - -Semantics.Extensions.BioElectroThermodynamics.entropyFluxBalance - -def -entropyFluxBalance - - - -Semantics.Extensions.BioElectroThermodynamics->Semantics.Extensions.BioElectroThermodynamics.entropyFluxBalance - - -contains - - - -Semantics.Extensions.BioPhotonicsDynamics - -module -BioPhotonicsDynamics - - - -Semantics.Extensions.BioPhotonicsDynamics.fluenceRateUpdate - -def -fluenceRateUpdate - - - -Semantics.Extensions.BioPhotonicsDynamics->Semantics.Extensions.BioPhotonicsDynamics.fluenceRateUpdate - - -contains - - - -Semantics.Extensions.BioPhotonicsDynamics.photonEmissionRate - -def -photonEmissionRate - - - -Semantics.Extensions.BioPhotonicsDynamics->Semantics.Extensions.BioPhotonicsDynamics.photonEmissionRate - - -contains - - - -Semantics.Extensions.BioPhotonicsDynamics.lightIntensityAtDepth - -def -lightIntensityAtDepth - - - -Semantics.Extensions.BioPhotonicsDynamics->Semantics.Extensions.BioPhotonicsDynamics.lightIntensityAtDepth - - -contains - - - -Semantics.Extensions.BioThermoTopology - -module -BioThermoTopology - - - -Semantics.Extensions.BioThermoTopology.coupledFlux - -def -coupledFlux - - - -Semantics.Extensions.BioThermoTopology->Semantics.Extensions.BioThermoTopology.coupledFlux - - -contains - - - -Semantics.Extensions.BioThermoTopology.jarzynskiFreeEnergy - -def -jarzynskiFreeEnergy - - - -Semantics.Extensions.BioThermoTopology->Semantics.Extensions.BioThermoTopology.jarzynskiFreeEnergy - - -contains - - - -Semantics.Extensions.BioThermoTopology.fbaSteadyState - -def -fbaSteadyState - - - -Semantics.Extensions.BioThermoTopology->Semantics.Extensions.BioThermoTopology.fbaSteadyState - - -contains - - - -Semantics.Extensions.BioThermoTopology.giererMeinhardtUpdate - -def -giererMeinhardtUpdate - - - -Semantics.Extensions.BioThermoTopology->Semantics.Extensions.BioThermoTopology.giererMeinhardtUpdate - - -contains - - - -Semantics.Extensions.BiologicalComputingLaws - -module -BiologicalComputingLaws - - - -Semantics.Extensions.BiologicalComputingLaws.kCombinator - -def -kCombinator - - - -Semantics.Extensions.BiologicalComputingLaws->Semantics.Extensions.BiologicalComputingLaws.kCombinator - - -contains - - - -Semantics.Extensions.BiologicalComputingLaws.sCombinator - -def -sCombinator - - - -Semantics.Extensions.BiologicalComputingLaws->Semantics.Extensions.BiologicalComputingLaws.sCombinator - - -contains - - - -Semantics.Extensions.BiologicalComputingLaws.assemblyIdempotent - -def -assemblyIdempotent - - - -Semantics.Extensions.BiologicalComputingLaws->Semantics.Extensions.BiologicalComputingLaws.assemblyIdempotent - - -contains - - - -Semantics.Extensions.BiologicalComputingLaws.cellResourceVoltage - -def -cellResourceVoltage - - - -Semantics.Extensions.BiologicalComputingLaws->Semantics.Extensions.BiologicalComputingLaws.cellResourceVoltage - - -contains - - - -Semantics.Extensions.BiologicalComputingLaws.isCellOverloaded - -def -isCellOverloaded - - - -Semantics.Extensions.BiologicalComputingLaws->Semantics.Extensions.BiologicalComputingLaws.isCellOverloaded - - -contains - - - -Semantics.Extensions.BiologicalControlDynamics - -module -BiologicalControlDynamics - - - -Semantics.Extensions.BiologicalControlDynamics.biologicalHamiltonian - -def -biologicalHamiltonian - - - -Semantics.Extensions.BiologicalControlDynamics->Semantics.Extensions.BiologicalControlDynamics.biologicalHamiltonian - - -contains - - - -Semantics.Extensions.BiologicalControlDynamics.satisfyRequisiteVariety - -def -satisfyRequisiteVariety - - - -Semantics.Extensions.BiologicalControlDynamics->Semantics.Extensions.BiologicalControlDynamics.satisfyRequisiteVariety - - -contains - - - -Semantics.Extensions.BiologicalControlDynamics.bellmanError - -def -bellmanError - - - -Semantics.Extensions.BiologicalControlDynamics->Semantics.Extensions.BiologicalControlDynamics.bellmanError - - -contains - - - -Semantics.Extensions.BiologicalControlDynamics.paretoEfficiency - -def -paretoEfficiency - - - -Semantics.Extensions.BiologicalControlDynamics->Semantics.Extensions.BiologicalControlDynamics.paretoEfficiency - - -contains - - - -Semantics.Extensions.BiologicalExergyDynamics - -module -BiologicalExergyDynamics - - - -Semantics.Extensions.BiologicalExergyDynamics.exergyDestruction - -def -exergyDestruction - - - -Semantics.Extensions.BiologicalExergyDynamics->Semantics.Extensions.BiologicalExergyDynamics.exergyDestruction - - -contains - - - -Semantics.Extensions.BiologicalExergyDynamics.minimumEntropyProductionUpdate - -def -minimumEntropyProductionUpdate - - - -Semantics.Extensions.BiologicalExergyDynamics->Semantics.Extensions.BiologicalExergyDynamics.minimumEntropyProductionUpdate - - -contains - - - -Semantics.Extensions.BiologicalExergyDynamics.maximumEntropyProductionRate - -def -maximumEntropyProductionRate - - - -Semantics.Extensions.BiologicalExergyDynamics->Semantics.Extensions.BiologicalExergyDynamics.maximumEntropyProductionRate - - -contains - - - -Semantics.Extensions.BiologicalExergyDynamics.actualMetabolicWork - -def -actualMetabolicWork - - - -Semantics.Extensions.BiologicalExergyDynamics->Semantics.Extensions.BiologicalExergyDynamics.actualMetabolicWork - - -contains - - - -Semantics.Extensions.BiologicalExtremalLaws - -module -BiologicalExtremalLaws - - - -Semantics.Extensions.BiologicalExtremalLaws.animalPathRefraction - -def -animalPathRefraction - - - -Semantics.Extensions.BiologicalExtremalLaws->Semantics.Extensions.BiologicalExtremalLaws.animalPathRefraction - - -contains - - - -Semantics.Extensions.BiologicalExtremalLaws.metabolicFluxObjective - -def -metabolicFluxObjective - - - -Semantics.Extensions.BiologicalExtremalLaws->Semantics.Extensions.BiologicalExtremalLaws.metabolicFluxObjective - - -contains - - - -Semantics.Extensions.BiologicalExtremalLaws.powerOutput - -def -powerOutput - - - -Semantics.Extensions.BiologicalExtremalLaws->Semantics.Extensions.BiologicalExtremalLaws.powerOutput - - -contains - - - -Semantics.Extensions.BiologicalExtremalLaws.populationLagrangian - -def -populationLagrangian - - - -Semantics.Extensions.BiologicalExtremalLaws->Semantics.Extensions.BiologicalExtremalLaws.populationLagrangian - - -contains - - - -Semantics.Extensions.BiologicalExtremalLaws.populationAction - -def -populationAction - - - -Semantics.Extensions.BiologicalExtremalLaws->Semantics.Extensions.BiologicalExtremalLaws.populationAction - - -contains - - - -Semantics.Extensions.BiologicalInformationLaws - -module -BiologicalInformationLaws - - - -Semantics.Extensions.BiologicalInformationLaws.genomicEntropy - -def -genomicEntropy - - - -Semantics.Extensions.BiologicalInformationLaws->Semantics.Extensions.BiologicalInformationLaws.genomicEntropy - - -contains - - - -Semantics.Extensions.BiologicalInformationLaws.codonHammingDistance - -def -codonHammingDistance - - - -Semantics.Extensions.BiologicalInformationLaws->Semantics.Extensions.BiologicalInformationLaws.codonHammingDistance - - -contains - - - -Semantics.Extensions.BiologicalInformationLaws.aminoAcidRobustness - -def -aminoAcidRobustness - - - -Semantics.Extensions.BiologicalInformationLaws->Semantics.Extensions.BiologicalInformationLaws.aminoAcidRobustness - - -contains - - - -Semantics.Extensions.BiologicalInformationLaws.biologicalChannelCapacity - -def -biologicalChannelCapacity - - - -Semantics.Extensions.BiologicalInformationLaws->Semantics.Extensions.BiologicalInformationLaws.biologicalChannelCapacity - - -contains - - - -Semantics.Extensions.BiologicalInformationLaws.errorCatastropheLimit - -def -errorCatastropheLimit - - - -Semantics.Extensions.BiologicalInformationLaws->Semantics.Extensions.BiologicalInformationLaws.errorCatastropheLimit - - -contains - - - -Semantics.Extensions.BiologicalIntegrityLaws - -module -BiologicalIntegrityLaws - - - -Semantics.Extensions.BiologicalIntegrityLaws.epigeneticAgePredictor - -def -epigeneticAgePredictor - - - -Semantics.Extensions.BiologicalIntegrityLaws->Semantics.Extensions.BiologicalIntegrityLaws.epigeneticAgePredictor - - -contains - - - -Semantics.Extensions.BiologicalIntegrityLaws.proofreadingErrorRate - -def -proofreadingErrorRate - - - -Semantics.Extensions.BiologicalIntegrityLaws->Semantics.Extensions.BiologicalIntegrityLaws.proofreadingErrorRate - - -contains - - - -Semantics.Extensions.BiologicalIntegrityLaws.biodiversityNumber - -def -biodiversityNumber - - - -Semantics.Extensions.BiologicalIntegrityLaws->Semantics.Extensions.BiologicalIntegrityLaws.biodiversityNumber - - -contains - - - -Semantics.Extensions.BiologicalInvariants - -module -BiologicalInvariants - - - -Semantics.Extensions.BiologicalInvariants.kleiberLaw - -def -kleiberLaw - - - -Semantics.Extensions.BiologicalInvariants->Semantics.Extensions.BiologicalInvariants.kleiberLaw - - -contains - - - -Semantics.Extensions.BiologicalInvariants.lvFlow - -def -lvFlow - - - -Semantics.Extensions.BiologicalInvariants->Semantics.Extensions.BiologicalInvariants.lvFlow - - -contains - - - -Semantics.Extensions.BiologicalInvariants.michaelisMentenLaw - -def -michaelisMentenLaw - - - -Semantics.Extensions.BiologicalInvariants->Semantics.Extensions.BiologicalInvariants.michaelisMentenLaw - - -contains - - - -Semantics.Extensions.BiologicalInvariants.hhCurrent - -def -hhCurrent - - - -Semantics.Extensions.BiologicalInvariants->Semantics.Extensions.BiologicalInvariants.hhCurrent - - -contains - - - -Semantics.Extensions.BiologicalInvariants.hardyWeinbergInvariant - -def -hardyWeinbergInvariant - - - -Semantics.Extensions.BiologicalInvariants->Semantics.Extensions.BiologicalInvariants.hardyWeinbergInvariant - - -contains - - - -Semantics.Extensions.BiologicalInvariants.arrheniusLaw - -def -arrheniusLaw - - - -Semantics.Extensions.BiologicalInvariants->Semantics.Extensions.BiologicalInvariants.arrheniusLaw - - -contains - - - -Semantics.Extensions.BiologicalInvariants.fickFirstLaw - -def -fickFirstLaw - - - -Semantics.Extensions.BiologicalInvariants->Semantics.Extensions.BiologicalInvariants.fickFirstLaw - - -contains - - - -Semantics.Extensions.BiologicalInvariants.fickSecondLaw - -def -fickSecondLaw - - - -Semantics.Extensions.BiologicalInvariants->Semantics.Extensions.BiologicalInvariants.fickSecondLaw - - -contains - - - -Semantics.Extensions.BiologicalRegulationDynamics - -module -BiologicalRegulationDynamics - - - -Semantics.Extensions.BiologicalRegulationDynamics.fluxControlCoefficient - -def -fluxControlCoefficient - - - -Semantics.Extensions.BiologicalRegulationDynamics->Semantics.Extensions.BiologicalRegulationDynamics.fluxControlCoefficient - - -contains - - - -Semantics.Extensions.BiologicalRegulationDynamics.isControlLawful - -def -isControlLawful - - - -Semantics.Extensions.BiologicalRegulationDynamics->Semantics.Extensions.BiologicalRegulationDynamics.isControlLawful - - -contains - - - -Semantics.Extensions.BiologicalRegulationDynamics.adaptationUpdate - -def -adaptationUpdate - - - -Semantics.Extensions.BiologicalRegulationDynamics->Semantics.Extensions.BiologicalRegulationDynamics.adaptationUpdate - - -contains - - - -Semantics.Extensions.BiologicalRegulationDynamics.isAdapted - -def -isAdapted - - - -Semantics.Extensions.BiologicalRegulationDynamics->Semantics.Extensions.BiologicalRegulationDynamics.isAdapted - - -contains - - - -Semantics.Extensions.BiologicalRegulationDynamics.optimalRegulatoryMode - -def -optimalRegulatoryMode - - - -Semantics.Extensions.BiologicalRegulationDynamics->Semantics.Extensions.BiologicalRegulationDynamics.optimalRegulatoryMode - - -contains - - - -Semantics.Extensions.BiologicalRhythmLaws - -module -BiologicalRhythmLaws - - - -Semantics.Extensions.BiologicalRhythmLaws.oregonatorUpdate - -def -oregonatorUpdate - - - -Semantics.Extensions.BiologicalRhythmLaws->Semantics.Extensions.BiologicalRhythmLaws.oregonatorUpdate - - -contains - - - -Semantics.Extensions.BiologicalRhythmLaws.synchronyPhaseDrift - -def -synchronyPhaseDrift - - - -Semantics.Extensions.BiologicalRhythmLaws->Semantics.Extensions.BiologicalRhythmLaws.synchronyPhaseDrift - - -contains - - - -Semantics.Extensions.BiologicalRhythmLaws.isEntrained - -def -isEntrained - - - -Semantics.Extensions.BiologicalRhythmLaws->Semantics.Extensions.BiologicalRhythmLaws.isEntrained - - -contains - - - -Semantics.Extensions.BiologicalRhythmLaws.continuityUpdate - -def -continuityUpdate - - - -Semantics.Extensions.BiologicalRhythmLaws->Semantics.Extensions.BiologicalRhythmLaws.continuityUpdate - - -contains - - - -Semantics.Extensions.BiologicalSensingLaws - -module -BiologicalSensingLaws - - - -Semantics.Extensions.BiologicalSensingLaws.bergPurcellErrorSq - -def -bergPurcellErrorSq - - - -Semantics.Extensions.BiologicalSensingLaws->Semantics.Extensions.BiologicalSensingLaws.bergPurcellErrorSq - - -contains - - - -Semantics.Extensions.BiologicalSensingLaws.signalingSNR - -def -signalingSNR - - - -Semantics.Extensions.BiologicalSensingLaws->Semantics.Extensions.BiologicalSensingLaws.signalingSNR - - -contains - - - -Semantics.Extensions.BiologicalSensingLaws.positionalPrecision - -def -positionalPrecision - - - -Semantics.Extensions.BiologicalSensingLaws->Semantics.Extensions.BiologicalSensingLaws.positionalPrecision - - -contains - - - -Semantics.Extensions.BiologicalSystemComplexity - -module -BiologicalSystemComplexity - - - -Semantics.Extensions.BiologicalSystemComplexity.smallWorldClustering - -def -smallWorldClustering - - - -Semantics.Extensions.BiologicalSystemComplexity->Semantics.Extensions.BiologicalSystemComplexity.smallWorldClustering - - -contains - - - -Semantics.Extensions.BiologicalSystemComplexity.modularityIndex - -def -modularityIndex - - - -Semantics.Extensions.BiologicalSystemComplexity->Semantics.Extensions.BiologicalSystemComplexity.modularityIndex - - -contains - - - -Semantics.Extensions.BiologicalSystemComplexity.expectedLossHOT - -def -expectedLossHOT - - - -Semantics.Extensions.BiologicalSystemComplexity->Semantics.Extensions.BiologicalSystemComplexity.expectedLossHOT - - -contains - - - -Semantics.Extensions.BiologicalSystemComplexity.complexityGrowth - -def -complexityGrowth - - - -Semantics.Extensions.BiologicalSystemComplexity->Semantics.Extensions.BiologicalSystemComplexity.complexityGrowth - - -contains - - - -Semantics.Extensions.BiologicalTransportLaws - -module -BiologicalTransportLaws - - - -Semantics.Extensions.BiologicalTransportLaws.reynoldsNumber - -def -reynoldsNumber - - - -Semantics.Extensions.BiologicalTransportLaws->Semantics.Extensions.BiologicalTransportLaws.reynoldsNumber - - -contains - - - -Semantics.Extensions.BiologicalTransportLaws.pecletNumber - -def -pecletNumber - - - -Semantics.Extensions.BiologicalTransportLaws->Semantics.Extensions.BiologicalTransportLaws.pecletNumber - - -contains - - - -Semantics.Extensions.BiologicalTransportLaws.darcyVelocity - -def -darcyVelocity - - - -Semantics.Extensions.BiologicalTransportLaws->Semantics.Extensions.BiologicalTransportLaws.darcyVelocity - - -contains - - - -Semantics.Extensions.BiologicalTransportLaws.starlingFiltration - -def -starlingFiltration - - - -Semantics.Extensions.BiologicalTransportLaws->Semantics.Extensions.BiologicalTransportLaws.starlingFiltration - - -contains - - - -Semantics.Extensions.BiomolecularFoldingLaws - -module -BiomolecularFoldingLaws - - - -Semantics.Extensions.BiomolecularFoldingLaws.foldingStability - -def -foldingStability - - - -Semantics.Extensions.BiomolecularFoldingLaws->Semantics.Extensions.BiomolecularFoldingLaws.foldingStability - - -contains - - - -Semantics.Extensions.BiomolecularFoldingLaws.isNativeState - -def -isNativeState - - - -Semantics.Extensions.BiomolecularFoldingLaws->Semantics.Extensions.BiomolecularFoldingLaws.isNativeState - - -contains - - - -Semantics.Extensions.BiomolecularFoldingLaws.searchSpaceSize - -def -searchSpaceSize - - - -Semantics.Extensions.BiomolecularFoldingLaws->Semantics.Extensions.BiomolecularFoldingLaws.searchSpaceSize - - -contains - - - -Semantics.Extensions.BiomolecularFoldingLaws.conformationProbability - -def -conformationProbability - - - -Semantics.Extensions.BiomolecularFoldingLaws->Semantics.Extensions.BiomolecularFoldingLaws.conformationProbability - - -contains - - - -Semantics.Extensions.BiomolecularFoldingLaws.relativeContactOrder - -def -relativeContactOrder - - - -Semantics.Extensions.BiomolecularFoldingLaws->Semantics.Extensions.BiomolecularFoldingLaws.relativeContactOrder - - -contains - - - -Semantics.Extensions.BiophysicalStructuralLaws - -module -BiophysicalStructuralLaws - - - -Semantics.Extensions.BiophysicalStructuralLaws.fhnStep - -def -fhnStep - - - -Semantics.Extensions.BiophysicalStructuralLaws->Semantics.Extensions.BiophysicalStructuralLaws.fhnStep - - -contains - - - -Semantics.Extensions.BiophysicalStructuralLaws.swiftHohenbergStep - -def -swiftHohenbergStep - - - -Semantics.Extensions.BiophysicalStructuralLaws->Semantics.Extensions.BiophysicalStructuralLaws.swiftHohenbergStep - - -contains - - - -Semantics.Extensions.BiophysicalStructuralLaws.tissueYoungModulus - -def -tissueYoungModulus - - - -Semantics.Extensions.BiophysicalStructuralLaws->Semantics.Extensions.BiophysicalStructuralLaws.tissueYoungModulus - - -contains - - - -Semantics.Extensions.BiophysicalStructuralLaws.cytoskeletalForce - -def -cytoskeletalForce - - - -Semantics.Extensions.BiophysicalStructuralLaws->Semantics.Extensions.BiophysicalStructuralLaws.cytoskeletalForce - - -contains - - - -Semantics.Extensions.BlitterPolymorphism - -module -BlitterPolymorphism - - - -Semantics.Extensions.BlitterPolymorphism.RefoldGrid - -theorem -RefoldGrid - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.RefoldGrid - - -contains - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.RefoldGrid - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.refold2D_homomorphism - -theorem -refold2D_homomorphism - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.refold2D_homomorphism - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.blitStep_refold_preserves_type - -theorem -blitStep_refold_preserves_type - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.blitStep_refold_preserves_type - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.refold_commutes_with_append - -theorem -refold_commutes_with_append - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.refold_commutes_with_append - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.dag_cache_refold_polymorphic - -theorem -dag_cache_refold_polymorphic - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.dag_cache_refold_polymorphic - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.TAG_DAM - -def -TAG_DAM - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.TAG_DAM - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.TAG_NET - -def -TAG_NET - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.TAG_NET - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.TAG_TX - -def -TAG_TX - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.TAG_TX - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.TAG_COSMIC - -def -TAG_COSMIC - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.TAG_COSMIC - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.TAG_SEISMIC - -def -TAG_SEISMIC - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.TAG_SEISMIC - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.TAG_GNSS - -def -TAG_GNSS - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.TAG_GNSS - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.arraySetD - -def -arraySetD - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.arraySetD - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.RefoldSensor - -def -RefoldSensor - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.RefoldSensor - - -contains - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.RefoldSensor - - -contains - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.RefoldSensor - - -contains - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.RefoldSensor - - -contains - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.RefoldSensor - - -contains - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.RefoldSensor - - -contains - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.RefoldSensor - - -contains - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.RefoldSensor - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.refold2D - -def -refold2D - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.refold2D - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.refold1D - -def -refold1D - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.refold1D - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.refold3D - -def -refold3D - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.refold3D - - -contains - - - -Semantics.Extensions.BlitterPolymorphism.refoldND - -def -refoldND - - - -Semantics.Extensions.BlitterPolymorphism->Semantics.Extensions.BlitterPolymorphism.refoldND - - -contains - - - -Semantics.Extensions.CancerMetabolicDynamics - -module -CancerMetabolicDynamics - - - -Semantics.Extensions.CancerMetabolicDynamics.cancerOnsetProb - -def -cancerOnsetProb - - - -Semantics.Extensions.CancerMetabolicDynamics->Semantics.Extensions.CancerMetabolicDynamics.cancerOnsetProb - - -contains - - - -Semantics.Extensions.CancerMetabolicDynamics.elasticityCoefficient - -def -elasticityCoefficient - - - -Semantics.Extensions.CancerMetabolicDynamics->Semantics.Extensions.CancerMetabolicDynamics.elasticityCoefficient - - -contains - - - -Semantics.Extensions.CancerMetabolicDynamics.checkConnectivityTheorem - -def -checkConnectivityTheorem - - - -Semantics.Extensions.CancerMetabolicDynamics->Semantics.Extensions.CancerMetabolicDynamics.checkConnectivityTheorem - - -contains - - - -Semantics.Extensions.CancerMetabolicDynamics.priceSelectionTerm - -def -priceSelectionTerm - - - -Semantics.Extensions.CancerMetabolicDynamics->Semantics.Extensions.CancerMetabolicDynamics.priceSelectionTerm - - -contains - - - -Semantics.Extensions.CardiacYieldDynamics - -module -CardiacYieldDynamics - - - -Semantics.Extensions.CardiacYieldDynamics.averageBiomassWeight - -def -averageBiomassWeight - - - -Semantics.Extensions.CardiacYieldDynamics->Semantics.Extensions.CardiacYieldDynamics.averageBiomassWeight - - -contains - - - -Semantics.Extensions.CardiacYieldDynamics.totalBiomassYield - -def -totalBiomassYield - - - -Semantics.Extensions.CardiacYieldDynamics->Semantics.Extensions.CardiacYieldDynamics.totalBiomassYield - - -contains - - - -Semantics.Extensions.CardiacYieldDynamics.gatingVariableUpdate - -def -gatingVariableUpdate - - - -Semantics.Extensions.CardiacYieldDynamics->Semantics.Extensions.CardiacYieldDynamics.gatingVariableUpdate - - -contains - - - -Semantics.Extensions.CardiacYieldDynamics.nobleSodiumCurrent - -def -nobleSodiumCurrent - - - -Semantics.Extensions.CardiacYieldDynamics->Semantics.Extensions.CardiacYieldDynamics.nobleSodiumCurrent - - -contains - - - -Semantics.Extensions.CardiacYieldDynamics.nobleK1Conductance - -def -nobleK1Conductance - - - -Semantics.Extensions.CardiacYieldDynamics->Semantics.Extensions.CardiacYieldDynamics.nobleK1Conductance - - -contains - - - -Semantics.Extensions.CellularGrowthLaws - -module -CellularGrowthLaws - - - -Semantics.Extensions.CellularGrowthLaws.initiationMassRatio - -def -initiationMassRatio - - - -Semantics.Extensions.CellularGrowthLaws->Semantics.Extensions.CellularGrowthLaws.initiationMassRatio - - -contains - - - -Semantics.Extensions.CellularGrowthLaws.averageCellSize - -def -averageCellSize - - - -Semantics.Extensions.CellularGrowthLaws->Semantics.Extensions.CellularGrowthLaws.averageCellSize - - -contains - - - -Semantics.Extensions.CellularGrowthLaws.divisionVolume - -def -divisionVolume - - - -Semantics.Extensions.CellularGrowthLaws->Semantics.Extensions.CellularGrowthLaws.divisionVolume - - -contains - - - -Semantics.Extensions.CellularMotionLimits - -module -CellularMotionLimits - - - -Semantics.Extensions.CellularMotionLimits.minimumRequiredVolume - -def -minimumRequiredVolume - - - -Semantics.Extensions.CellularMotionLimits->Semantics.Extensions.CellularMotionLimits.minimumRequiredVolume - - -contains - - - -Semantics.Extensions.CellularMotionLimits.isRadiusPhysicallyPossible - -def -isRadiusPhysicallyPossible - - - -Semantics.Extensions.CellularMotionLimits->Semantics.Extensions.CellularMotionLimits.isRadiusPhysicallyPossible - - -contains - - - -Semantics.Extensions.CellularMotionLimits.optimalMovementSpeed - -def -optimalMovementSpeed - - - -Semantics.Extensions.CellularMotionLimits->Semantics.Extensions.CellularMotionLimits.optimalMovementSpeed - - -contains - - - -Semantics.Extensions.CellularMotionLimits.movementFrequency - -def -movementFrequency - - - -Semantics.Extensions.CellularMotionLimits->Semantics.Extensions.CellularMotionLimits.movementFrequency - - -contains - - - -Semantics.Extensions.CellularMotionLimits.diffusionTimeLimit - -def -diffusionTimeLimit - - - -Semantics.Extensions.CellularMotionLimits->Semantics.Extensions.CellularMotionLimits.diffusionTimeLimit - - -contains - - - -Semantics.Extensions.CellularSignalingDynamics - -module -CellularSignalingDynamics - - - -Semantics.Extensions.CellularSignalingDynamics.goldbeterKoshlandSwitch - -def -goldbeterKoshlandSwitch - - - -Semantics.Extensions.CellularSignalingDynamics->Semantics.Extensions.CellularSignalingDynamics.goldbeterKoshlandSwitch - - -contains - - - -Semantics.Extensions.CellularSignalingDynamics.tysonStep - -def -tysonStep - - - -Semantics.Extensions.CellularSignalingDynamics->Semantics.Extensions.CellularSignalingDynamics.tysonStep - - -contains - - - -Semantics.Extensions.CellularSignalingDynamics.molecularRepression - -def -molecularRepression - - - -Semantics.Extensions.CellularSignalingDynamics->Semantics.Extensions.CellularSignalingDynamics.molecularRepression - - -contains - - - -Semantics.Extensions.CellularSignalingDynamics.chemotacticFlux - -def -chemotacticFlux - - - -Semantics.Extensions.CellularSignalingDynamics->Semantics.Extensions.CellularSignalingDynamics.chemotacticFlux - - -contains - - - -Semantics.Extensions.CognitiveAcousticDynamics - -module -CognitiveAcousticDynamics - - - -Semantics.Extensions.CognitiveAcousticDynamics.integratedInformationPhi - -def -integratedInformationPhi - - - -Semantics.Extensions.CognitiveAcousticDynamics->Semantics.Extensions.CognitiveAcousticDynamics.integratedInformationPhi - - -contains - - - -Semantics.Extensions.CognitiveAcousticDynamics.gnwGating - -def -gnwGating - - - -Semantics.Extensions.CognitiveAcousticDynamics->Semantics.Extensions.CognitiveAcousticDynamics.gnwGating - - -contains - - - -Semantics.Extensions.CognitiveAcousticDynamics.orchOrCollapseTime - -def -orchOrCollapseTime - - - -Semantics.Extensions.CognitiveAcousticDynamics->Semantics.Extensions.CognitiveAcousticDynamics.orchOrCollapseTime - - -contains - - - -Semantics.Extensions.CognitiveAcousticDynamics.sonarRange - -def -sonarRange - - - -Semantics.Extensions.CognitiveAcousticDynamics->Semantics.Extensions.CognitiveAcousticDynamics.sonarRange - - -contains - - - -Semantics.Extensions.CognitiveAcousticDynamics.gammatoneEnvelope - -def -gammatoneEnvelope - - - -Semantics.Extensions.CognitiveAcousticDynamics->Semantics.Extensions.CognitiveAcousticDynamics.gammatoneEnvelope - - -contains - - - -Semantics.Extensions.CognitiveAcousticDynamics.xenobotReplicationProb - -def -xenobotReplicationProb - - - -Semantics.Extensions.CognitiveAcousticDynamics->Semantics.Extensions.CognitiveAcousticDynamics.xenobotReplicationProb - - -contains - - - -Semantics.Extensions.CognitiveEfficiencyLaws - -module -CognitiveEfficiencyLaws - - - -Semantics.Extensions.CognitiveEfficiencyLaws.hicksReactionTime - -def -hicksReactionTime - - - -Semantics.Extensions.CognitiveEfficiencyLaws->Semantics.Extensions.CognitiveEfficiencyLaws.hicksReactionTime - - -contains - - - -Semantics.Extensions.CognitiveEfficiencyLaws.fittsMovementTime - -def -fittsMovementTime - - - -Semantics.Extensions.CognitiveEfficiencyLaws->Semantics.Extensions.CognitiveEfficiencyLaws.fittsMovementTime - - -contains - - - -Semantics.Extensions.CognitiveEfficiencyLaws.zipfProbability - -def -zipfProbability - - - -Semantics.Extensions.CognitiveEfficiencyLaws->Semantics.Extensions.CognitiveEfficiencyLaws.zipfProbability - - -contains - - - -Semantics.Extensions.CognitiveEfficiencyLaws.metabolicBitCost - -def -metabolicBitCost - - - -Semantics.Extensions.CognitiveEfficiencyLaws->Semantics.Extensions.CognitiveEfficiencyLaws.metabolicBitCost - - -contains - - - -Semantics.Extensions.CognitiveLearningDynamics - -module -CognitiveLearningDynamics - - - -Semantics.Extensions.CognitiveLearningDynamics.associativeStrengthUpdate - -def -associativeStrengthUpdate - - - -Semantics.Extensions.CognitiveLearningDynamics->Semantics.Extensions.CognitiveLearningDynamics.associativeStrengthUpdate - - -contains - - - -Semantics.Extensions.CognitiveLearningDynamics.levySearchProbability - -def -levySearchProbability - - - -Semantics.Extensions.CognitiveLearningDynamics->Semantics.Extensions.CognitiveLearningDynamics.levySearchProbability - - -contains - - - -Semantics.Extensions.CognitiveLearningDynamics.isCognitiveSwitchOptimal - -def -isCognitiveSwitchOptimal - - - -Semantics.Extensions.CognitiveLearningDynamics->Semantics.Extensions.CognitiveLearningDynamics.isCognitiveSwitchOptimal - - -contains - - - -Semantics.Extensions.CognitiveLearningDynamics.memorySamplingProb - -def -memorySamplingProb - - - -Semantics.Extensions.CognitiveLearningDynamics->Semantics.Extensions.CognitiveLearningDynamics.memorySamplingProb - - -contains - - - -Semantics.Extensions.CollectiveBiophysics - -module -CollectiveBiophysics - - - -Semantics.Extensions.CollectiveBiophysics.vicsekAngleUpdate - -def -vicsekAngleUpdate - - - -Semantics.Extensions.CollectiveBiophysics->Semantics.Extensions.CollectiveBiophysics.vicsekAngleUpdate - - -contains - - - -Semantics.Extensions.CollectiveBiophysics.vicsekOrderParameter - -def -vicsekOrderParameter - - - -Semantics.Extensions.CollectiveBiophysics->Semantics.Extensions.CollectiveBiophysics.vicsekOrderParameter - - -contains - - - -Semantics.Extensions.CollectiveBiophysics.levyStepProbability - -def -levyStepProbability - - - -Semantics.Extensions.CollectiveBiophysics->Semantics.Extensions.CollectiveBiophysics.levyStepProbability - - -contains - - - -Semantics.Extensions.CollectiveBiophysics.membranePressureDiff - -def -membranePressureDiff - - - -Semantics.Extensions.CollectiveBiophysics->Semantics.Extensions.CollectiveBiophysics.membranePressureDiff - - -contains - - - -Semantics.Extensions.CollectiveBiophysics.osmoticPressure - -def -osmoticPressure - - - -Semantics.Extensions.CollectiveBiophysics->Semantics.Extensions.CollectiveBiophysics.osmoticPressure - - -contains - - - -Semantics.Extensions.CollectiveBiophysics.cableSpaceConstant - -def -cableSpaceConstant - - - -Semantics.Extensions.CollectiveBiophysics->Semantics.Extensions.CollectiveBiophysics.cableSpaceConstant - - -contains - - - -Semantics.Extensions.ConstrainedEnergyDynamics - -module -ConstrainedEnergyDynamics - - - -Semantics.Extensions.ConstrainedEnergyDynamics.constrainedTEE - -def -constrainedTEE - - - -Semantics.Extensions.ConstrainedEnergyDynamics->Semantics.Extensions.ConstrainedEnergyDynamics.constrainedTEE - - -contains - - - -Semantics.Extensions.ConstrainedEnergyDynamics.energyCompensationConstant - -def -energyCompensationConstant - - - -Semantics.Extensions.ConstrainedEnergyDynamics->Semantics.Extensions.ConstrainedEnergyDynamics.energyCompensationConstant - - -contains - - - -Semantics.Extensions.ConstrainedEnergyDynamics.metabolicCeiling - -def -metabolicCeiling - - - -Semantics.Extensions.ConstrainedEnergyDynamics->Semantics.Extensions.ConstrainedEnergyDynamics.metabolicCeiling - - -contains - - - -Semantics.Extensions.ConstrainedEnergyDynamics.metabolicScope - -def -metabolicScope - - - -Semantics.Extensions.ConstrainedEnergyDynamics->Semantics.Extensions.ConstrainedEnergyDynamics.metabolicScope - - -contains - - - -Semantics.Extensions.ConstrainedEnergyDynamics.maintenanceBudget - -def -maintenanceBudget - - - -Semantics.Extensions.ConstrainedEnergyDynamics->Semantics.Extensions.ConstrainedEnergyDynamics.maintenanceBudget - - -contains - - - -Semantics.Extensions.ConstructalMuscleDynamics - -module -ConstructalMuscleDynamics - - - -Semantics.Extensions.ConstructalMuscleDynamics.optimalBranchingRatio - -def -optimalBranchingRatio - - - -Semantics.Extensions.ConstructalMuscleDynamics->Semantics.Extensions.ConstructalMuscleDynamics.optimalBranchingRatio - - -contains - - - -Semantics.Extensions.ConstructalMuscleDynamics.muscleShorteningVelocity - -def -muscleShorteningVelocity - - - -Semantics.Extensions.ConstructalMuscleDynamics->Semantics.Extensions.ConstructalMuscleDynamics.muscleShorteningVelocity - - -contains - - - -Semantics.Extensions.ConstructalMuscleDynamics.totalMuscleForce - -def -totalMuscleForce - - - -Semantics.Extensions.ConstructalMuscleDynamics->Semantics.Extensions.ConstructalMuscleDynamics.totalMuscleForce - - -contains - - - -Semantics.Extensions.ConstructalMuscleDynamics.surfaceVolumeRatio - -def -surfaceVolumeRatio - - - -Semantics.Extensions.ConstructalMuscleDynamics->Semantics.Extensions.ConstructalMuscleDynamics.surfaceVolumeRatio - - -contains - - - -Semantics.Extensions.CorticalScalingDynamics - -module -CorticalScalingDynamics - - - -Semantics.Extensions.CorticalScalingDynamics.corticalNeuronScaling - -def -corticalNeuronScaling - - - -Semantics.Extensions.CorticalScalingDynamics->Semantics.Extensions.CorticalScalingDynamics.corticalNeuronScaling - - -contains - - - -Semantics.Extensions.CorticalScalingDynamics.whiteMatterScaling - -def -whiteMatterScaling - - - -Semantics.Extensions.CorticalScalingDynamics->Semantics.Extensions.CorticalScalingDynamics.whiteMatterScaling - - -contains - - - -Semantics.Extensions.CorticalScalingDynamics.isDendriticBranchLawful - -def -isDendriticBranchLawful - - - -Semantics.Extensions.CorticalScalingDynamics->Semantics.Extensions.CorticalScalingDynamics.isDendriticBranchLawful - - -contains - - - -Semantics.Extensions.CorticalScalingDynamics.synapsisPerPairInvariant - -def -synapsisPerPairInvariant - - - -Semantics.Extensions.CorticalScalingDynamics->Semantics.Extensions.CorticalScalingDynamics.synapsisPerPairInvariant - - -contains - - - -Semantics.Extensions.DevelopmentalScalingLaws - -module -DevelopmentalScalingLaws - - - -Semantics.Extensions.DevelopmentalScalingLaws.somiteSize - -def -somiteSize - - - -Semantics.Extensions.DevelopmentalScalingLaws->Semantics.Extensions.DevelopmentalScalingLaws.somiteSize - - -contains - - - -Semantics.Extensions.DevelopmentalScalingLaws.scaledDecayLength - -def -scaledDecayLength - - - -Semantics.Extensions.DevelopmentalScalingLaws->Semantics.Extensions.DevelopmentalScalingLaws.scaledDecayLength - - -contains - - - -Semantics.Extensions.DevelopmentalScalingLaws.scaleInvariantConcentration - -def -scaleInvariantConcentration - - - -Semantics.Extensions.DevelopmentalScalingLaws->Semantics.Extensions.DevelopmentalScalingLaws.scaleInvariantConcentration - - -contains - - - -Semantics.Extensions.DevelopmentalScalingLaws.divisionRate - -def -divisionRate - - - -Semantics.Extensions.DevelopmentalScalingLaws->Semantics.Extensions.DevelopmentalScalingLaws.divisionRate - - -contains - - - -Semantics.Extensions.EcologicalBehaviors - -module -EcologicalBehaviors - - - -Semantics.Extensions.EcologicalBehaviors.competitiveExclusionUpdate - -def -competitiveExclusionUpdate - - - -Semantics.Extensions.EcologicalBehaviors->Semantics.Extensions.EcologicalBehaviors.competitiveExclusionUpdate - - -contains - - - -Semantics.Extensions.EcologicalBehaviors.alleeEffectRate - -def -alleeEffectRate - - - -Semantics.Extensions.EcologicalBehaviors->Semantics.Extensions.EcologicalBehaviors.alleeEffectRate - - -contains - - - -Semantics.Extensions.EcologicalBehaviors.islandSpeciesFlux - -def -islandSpeciesFlux - - - -Semantics.Extensions.EcologicalBehaviors->Semantics.Extensions.EcologicalBehaviors.islandSpeciesFlux - - -contains - - - -Semantics.Extensions.EcologicalBehaviors.optimalStayTimeCondition - -def -optimalStayTimeCondition - - - -Semantics.Extensions.EcologicalBehaviors->Semantics.Extensions.EcologicalBehaviors.optimalStayTimeCondition - - -contains - - - -Semantics.Extensions.EcologicalBehaviors.hamiltionRuleSatisfied - -def -hamiltionRuleSatisfied - - - -Semantics.Extensions.EcologicalBehaviors->Semantics.Extensions.EcologicalBehaviors.hamiltionRuleSatisfied - - -contains - - - -Semantics.Extensions.EcologicalInformationDynamics - -module -EcologicalInformationDynamics - - - -Semantics.Extensions.EcologicalInformationDynamics.margalefRichness - -def -margalefRichness - - - -Semantics.Extensions.EcologicalInformationDynamics->Semantics.Extensions.EcologicalInformationDynamics.margalefRichness - - -contains - - - -Semantics.Extensions.EcologicalInformationDynamics.shannonDiversity - -def -shannonDiversity - - - -Semantics.Extensions.EcologicalInformationDynamics->Semantics.Extensions.EcologicalInformationDynamics.shannonDiversity - - -contains - - - -Semantics.Extensions.EcologicalInformationDynamics.isSystemStable - -def -isSystemStable - - - -Semantics.Extensions.EcologicalInformationDynamics->Semantics.Extensions.EcologicalInformationDynamics.isSystemStable - - -contains - - - -Semantics.Extensions.EcologicalInformationDynamics.informationShedding - -def -informationShedding - - - -Semantics.Extensions.EcologicalInformationDynamics->Semantics.Extensions.EcologicalInformationDynamics.informationShedding - - -contains - - - -Semantics.Extensions.EcologicalNetworkDynamics - -module -EcologicalNetworkDynamics - - - -Semantics.Extensions.EcologicalNetworkDynamics.redfieldCheck - -def -redfieldCheck - - - -Semantics.Extensions.EcologicalNetworkDynamics->Semantics.Extensions.EcologicalNetworkDynamics.redfieldCheck - - -contains - - - -Semantics.Extensions.EcologicalNetworkDynamics.hollingType1 - -def -hollingType1 - - - -Semantics.Extensions.EcologicalNetworkDynamics->Semantics.Extensions.EcologicalNetworkDynamics.hollingType1 - - -contains - - - -Semantics.Extensions.EcologicalNetworkDynamics.hollingType2 - -def -hollingType2 - - - -Semantics.Extensions.EcologicalNetworkDynamics->Semantics.Extensions.EcologicalNetworkDynamics.hollingType2 - - -contains - - - -Semantics.Extensions.EcologicalNetworkDynamics.hollingType3 - -def -hollingType3 - - - -Semantics.Extensions.EcologicalNetworkDynamics->Semantics.Extensions.EcologicalNetworkDynamics.hollingType3 - - -contains - - - -Semantics.Extensions.EcologicalNetworkDynamics.networkConnectance - -def -networkConnectance - - - -Semantics.Extensions.EcologicalNetworkDynamics->Semantics.Extensions.EcologicalNetworkDynamics.networkConnectance - - -contains - - - -Semantics.Extensions.EcologicalNetworkDynamics.taylorsVariance - -def -taylorsVariance - - - -Semantics.Extensions.EcologicalNetworkDynamics->Semantics.Extensions.EcologicalNetworkDynamics.taylorsVariance - - -contains - - - -Semantics.Extensions.EcologicalSpecializationLaws - -module -EcologicalSpecializationLaws - - - -Semantics.Extensions.EcologicalSpecializationLaws.brokenStickAbundance - -def -brokenStickAbundance - - - -Semantics.Extensions.EcologicalSpecializationLaws->Semantics.Extensions.EcologicalSpecializationLaws.brokenStickAbundance - - -contains - - - -Semantics.Extensions.EcologicalSpecializationLaws.nicheBreadthReciprocal - -def -nicheBreadthReciprocal - - - -Semantics.Extensions.EcologicalSpecializationLaws->Semantics.Extensions.EcologicalSpecializationLaws.nicheBreadthReciprocal - - -contains - - - -Semantics.Extensions.EcologicalSpecializationLaws.nicheOverlapAsym - -def -nicheOverlapAsym - - - -Semantics.Extensions.EcologicalSpecializationLaws->Semantics.Extensions.EcologicalSpecializationLaws.nicheOverlapAsym - - -contains - - - -Semantics.Extensions.EcologicalSpecializationLaws.motorThermodynamicEfficiency - -def -motorThermodynamicEfficiency - - - -Semantics.Extensions.EcologicalSpecializationLaws->Semantics.Extensions.EcologicalSpecializationLaws.motorThermodynamicEfficiency - - -contains - - - -Semantics.Extensions.EcologicalSpecializationLaws.parrondoWinProb - -def -parrondoWinProb - - - -Semantics.Extensions.EcologicalSpecializationLaws->Semantics.Extensions.EcologicalSpecializationLaws.parrondoWinProb - - -contains - - - -Semantics.Extensions.EcologyMechanicalLaws - -module -EcologyMechanicalLaws - - - -Semantics.Extensions.EcologyMechanicalLaws.speciesRichnessArea - -def -speciesRichnessArea - - - -Semantics.Extensions.EcologyMechanicalLaws->Semantics.Extensions.EcologyMechanicalLaws.speciesRichnessArea - - -contains - - - -Semantics.Extensions.EcologyMechanicalLaws.cellularStiffness - -def -cellularStiffness - - - -Semantics.Extensions.EcologyMechanicalLaws->Semantics.Extensions.EcologyMechanicalLaws.cellularStiffness - - -contains - - - -Semantics.Extensions.EpidemiologicalDynamics - -module -EpidemiologicalDynamics - - - -Semantics.Extensions.EpidemiologicalDynamics.basicReproductionNumber - -def -basicReproductionNumber - - - -Semantics.Extensions.EpidemiologicalDynamics->Semantics.Extensions.EpidemiologicalDynamics.basicReproductionNumber - - -contains - - - -Semantics.Extensions.EpidemiologicalDynamics.herdImmunityThreshold - -def -herdImmunityThreshold - - - -Semantics.Extensions.EpidemiologicalDynamics->Semantics.Extensions.EpidemiologicalDynamics.herdImmunityThreshold - - -contains - - - -Semantics.Extensions.EpidemiologicalDynamics.sirUpdate - -def -sirUpdate - - - -Semantics.Extensions.EpidemiologicalDynamics->Semantics.Extensions.EpidemiologicalDynamics.sirUpdate - - -contains - - - -Semantics.Extensions.EpidemiologicalTrophicDynamics - -module -EpidemiologicalTrophicDynamics - - - -Semantics.Extensions.EpidemiologicalTrophicDynamics.reedFrostNewCases - -def -reedFrostNewCases - - - -Semantics.Extensions.EpidemiologicalTrophicDynamics->Semantics.Extensions.EpidemiologicalTrophicDynamics.reedFrostNewCases - - -contains - - - -Semantics.Extensions.EpidemiologicalTrophicDynamics.trophicWaveUpdate - -def -trophicWaveUpdate - - - -Semantics.Extensions.EpidemiologicalTrophicDynamics->Semantics.Extensions.EpidemiologicalTrophicDynamics.trophicWaveUpdate - - -contains - - - -Semantics.Extensions.EpidemiologicalTrophicDynamics.trophicKinetics - -def -trophicKinetics - - - -Semantics.Extensions.EpidemiologicalTrophicDynamics->Semantics.Extensions.EpidemiologicalTrophicDynamics.trophicKinetics - - -contains - - - -Semantics.Extensions.EvolutionaryLandscapeDynamics - -module -EvolutionaryLandscapeDynamics - - - -Semantics.Extensions.EvolutionaryLandscapeDynamics.frequencyChangeGradient - -def -frequencyChangeGradient - - - -Semantics.Extensions.EvolutionaryLandscapeDynamics->Semantics.Extensions.EvolutionaryLandscapeDynamics.frequencyChangeGradient - - -contains - - - -Semantics.Extensions.EvolutionaryLandscapeDynamics.populationMeanFitness - -def -populationMeanFitness - - - -Semantics.Extensions.EvolutionaryLandscapeDynamics->Semantics.Extensions.EvolutionaryLandscapeDynamics.populationMeanFitness - - -contains - - - -Semantics.Extensions.EvolutionaryLandscapeDynamics.isDriftDominant - -def -isDriftDominant - - - -Semantics.Extensions.EvolutionaryLandscapeDynamics->Semantics.Extensions.EvolutionaryLandscapeDynamics.isDriftDominant - - -contains - - - -Semantics.Extensions.EvolutionaryLandscapeDynamics.isAscendingPeak - -def -isAscendingPeak - - - -Semantics.Extensions.EvolutionaryLandscapeDynamics->Semantics.Extensions.EvolutionaryLandscapeDynamics.isAscendingPeak - - -contains - - - -Semantics.Extensions.EvolutionaryNetworkDynamics - -module -EvolutionaryNetworkDynamics - - - -Semantics.Extensions.EvolutionaryNetworkDynamics.hawkDoveMixedStrategy - -def -hawkDoveMixedStrategy - - - -Semantics.Extensions.EvolutionaryNetworkDynamics->Semantics.Extensions.EvolutionaryNetworkDynamics.hawkDoveMixedStrategy - - -contains - - - -Semantics.Extensions.EvolutionaryNetworkDynamics.isStrategyStable - -def -isStrategyStable - - - -Semantics.Extensions.EvolutionaryNetworkDynamics->Semantics.Extensions.EvolutionaryNetworkDynamics.isStrategyStable - - -contains - - - -Semantics.Extensions.EvolutionaryNetworkDynamics.genusExtinctionRate - -def -genusExtinctionRate - - - -Semantics.Extensions.EvolutionaryNetworkDynamics->Semantics.Extensions.EvolutionaryNetworkDynamics.genusExtinctionRate - - -contains - - - -Semantics.Extensions.EvolutionaryNetworkDynamics.degreeProbability - -def -degreeProbability - - - -Semantics.Extensions.EvolutionaryNetworkDynamics->Semantics.Extensions.EvolutionaryNetworkDynamics.degreeProbability - - -contains - - - -Semantics.Extensions.EvolutionaryNetworkDynamics.attachmentWeight - -def -attachmentWeight - - - -Semantics.Extensions.EvolutionaryNetworkDynamics->Semantics.Extensions.EvolutionaryNetworkDynamics.attachmentWeight - - -contains - - - -Semantics.Extensions.EvolutionaryNetworkDynamics.isMutationNeutral - -def -isMutationNeutral - - - -Semantics.Extensions.EvolutionaryNetworkDynamics->Semantics.Extensions.EvolutionaryNetworkDynamics.isMutationNeutral - - -contains - - - -Semantics.Extensions.FisherGeometricAdaptationLaws - -module -FisherGeometricAdaptationLaws - - - -Semantics.Extensions.FisherGeometricAdaptationLaws.phenotypicFitness - -def -phenotypicFitness - - - -Semantics.Extensions.FisherGeometricAdaptationLaws->Semantics.Extensions.FisherGeometricAdaptationLaws.phenotypicFitness - - -contains - - - -Semantics.Extensions.FisherGeometricAdaptationLaws.beneficialMutationProb - -def -beneficialMutationProb - - - -Semantics.Extensions.FisherGeometricAdaptationLaws->Semantics.Extensions.FisherGeometricAdaptationLaws.beneficialMutationProb - - -contains - - - -Semantics.Extensions.FisherGeometricAdaptationLaws.Pa_limit_zero - -def -Pa_limit_zero - - - -Semantics.Extensions.FisherGeometricAdaptationLaws->Semantics.Extensions.FisherGeometricAdaptationLaws.Pa_limit_zero - - -contains - - - -Semantics.Extensions.FisherGeometricAdaptationLaws.complexityPenalty - -def -complexityPenalty - - - -Semantics.Extensions.FisherGeometricAdaptationLaws->Semantics.Extensions.FisherGeometricAdaptationLaws.complexityPenalty - - -contains - - - -Semantics.Extensions.FoundationalBioLaws - -module -FoundationalBioLaws - - - -Semantics.Extensions.FoundationalBioLaws.mendelianGenotypeSum - -def -mendelianGenotypeSum - - - -Semantics.Extensions.FoundationalBioLaws->Semantics.Extensions.FoundationalBioLaws.mendelianGenotypeSum - - -contains - - - -Semantics.Extensions.FoundationalBioLaws.recombinationFrequency - -def -recombinationFrequency - - - -Semantics.Extensions.FoundationalBioLaws->Semantics.Extensions.FoundationalBioLaws.recombinationFrequency - - -contains - - - -Semantics.Extensions.FoundationalBioLaws.liebigGrowthRate - -def -liebigGrowthRate - - - -Semantics.Extensions.FoundationalBioLaws->Semantics.Extensions.FoundationalBioLaws.liebigGrowthRate - - -contains - - - -Semantics.Extensions.FoundationalBioLaws.performanceTolerance - -def -performanceTolerance - - - -Semantics.Extensions.FoundationalBioLaws->Semantics.Extensions.FoundationalBioLaws.performanceTolerance - - -contains - - - -Semantics.Extensions.FoundationalBioLaws.polygenicTraitValue - -def -polygenicTraitValue - - - -Semantics.Extensions.FoundationalBioLaws->Semantics.Extensions.FoundationalBioLaws.polygenicTraitValue - - -contains - - - -Semantics.Extensions.FractalVascularLaws - -module -FractalVascularLaws - - - -Semantics.Extensions.FractalVascularLaws.branchCount - -def -branchCount - - - -Semantics.Extensions.FractalVascularLaws->Semantics.Extensions.FractalVascularLaws.branchCount - - -contains - - - -Semantics.Extensions.FractalVascularLaws.branchLength - -def -branchLength - - - -Semantics.Extensions.FractalVascularLaws->Semantics.Extensions.FractalVascularLaws.branchLength - - -contains - - - -Semantics.Extensions.FractalVascularLaws.wbeScalingExponent - -def -wbeScalingExponent - - - -Semantics.Extensions.FractalVascularLaws->Semantics.Extensions.FractalVascularLaws.wbeScalingExponent - - -contains - - - -Semantics.Extensions.FractalVascularLaws.heartRateScale - -def -heartRateScale - - - -Semantics.Extensions.FractalVascularLaws->Semantics.Extensions.FractalVascularLaws.heartRateScale - - -contains - - - -Semantics.Extensions.FractalVascularLaws.bloodVolumeScale - -def -bloodVolumeScale - - - -Semantics.Extensions.FractalVascularLaws->Semantics.Extensions.FractalVascularLaws.bloodVolumeScale - - -contains - - - -Semantics.Extensions.GenomicEvolutionLaws - -module -GenomicEvolutionLaws - - - -Semantics.Extensions.GenomicEvolutionLaws.fittestClassSize - -def -fittestClassSize - - - -Semantics.Extensions.GenomicEvolutionLaws->Semantics.Extensions.GenomicEvolutionLaws.fittestClassSize - - -contains - - - -Semantics.Extensions.GenomicEvolutionLaws.isSelectionVisible - -def -isSelectionVisible - - - -Semantics.Extensions.GenomicEvolutionLaws->Semantics.Extensions.GenomicEvolutionLaws.isSelectionVisible - - -contains - - - -Semantics.Extensions.GenomicEvolutionLaws.neutralDiversityTheta - -def -neutralDiversityTheta - - - -Semantics.Extensions.GenomicEvolutionLaws->Semantics.Extensions.GenomicEvolutionLaws.neutralDiversityTheta - - -contains - - - -Semantics.Extensions.GenomicInformationLaws - -module -GenomicInformationLaws - - - -Semantics.Extensions.GenomicInformationLaws.drakeMutationRate - -def -drakeMutationRate - - - -Semantics.Extensions.GenomicInformationLaws->Semantics.Extensions.GenomicInformationLaws.drakeMutationRate - - -contains - - - -Semantics.Extensions.GenomicInformationLaws.driftBarrierLog - -def -driftBarrierLog - - - -Semantics.Extensions.GenomicInformationLaws->Semantics.Extensions.GenomicInformationLaws.driftBarrierLog - - -contains - - - -Semantics.Extensions.GenomicInformationLaws.minimalGenomeGenes - -def -minimalGenomeGenes - - - -Semantics.Extensions.GenomicInformationLaws->Semantics.Extensions.GenomicInformationLaws.minimalGenomeGenes - - -contains - - - -Semantics.Extensions.GenomicInformationLaws.isGenomeAutonomous - -def -isGenomeAutonomous - - - -Semantics.Extensions.GenomicInformationLaws->Semantics.Extensions.GenomicInformationLaws.isGenomeAutonomous - - -contains - - - -Semantics.Extensions.GenomicInformationLaws.effectiveInformation - -def -effectiveInformation - - - -Semantics.Extensions.GenomicInformationLaws->Semantics.Extensions.GenomicInformationLaws.effectiveInformation - - -contains - - - -Semantics.Extensions.GenomicScalingLaws - -module -GenomicScalingLaws - - - -Semantics.Extensions.GenomicScalingLaws.familySizeProb - -def -familySizeProb - - - -Semantics.Extensions.GenomicScalingLaws->Semantics.Extensions.GenomicScalingLaws.familySizeProb - - -contains - - - -Semantics.Extensions.GenomicScalingLaws.functionalGeneCount - -def -functionalGeneCount - - - -Semantics.Extensions.GenomicScalingLaws->Semantics.Extensions.GenomicScalingLaws.functionalGeneCount - - -contains - - - -Semantics.Extensions.GenomicScalingLaws.bdimUpdate - -def -bdimUpdate - - - -Semantics.Extensions.GenomicScalingLaws->Semantics.Extensions.GenomicScalingLaws.bdimUpdate - - -contains - - - -Semantics.Extensions.GenomicStoichiometricDynamics - -module -GenomicStoichiometricDynamics - - - -Semantics.Extensions.GenomicStoichiometricDynamics.adamiComplexity - -def -adamiComplexity - - - -Semantics.Extensions.GenomicStoichiometricDynamics->Semantics.Extensions.GenomicStoichiometricDynamics.adamiComplexity - - -contains - - - -Semantics.Extensions.GenomicStoichiometricDynamics.regulatoryGeneCount - -def -regulatoryGeneCount - - - -Semantics.Extensions.GenomicStoichiometricDynamics->Semantics.Extensions.GenomicStoichiometricDynamics.regulatoryGeneCount - - -contains - - - -Semantics.Extensions.GenomicStoichiometricDynamics.revelleFactor - -def -revelleFactor - - - -Semantics.Extensions.GenomicStoichiometricDynamics->Semantics.Extensions.GenomicStoichiometricDynamics.revelleFactor - - -contains - - - -Semantics.Extensions.GenomicStoichiometricDynamics.remineralizationOxygenRatio - -def -remineralizationOxygenRatio - - - -Semantics.Extensions.GenomicStoichiometricDynamics->Semantics.Extensions.GenomicStoichiometricDynamics.remineralizationOxygenRatio - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold - -module -HarmonicKinkPlasmaManifold - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.contract_sidon_no_collision - -theorem -contract_sidon_no_collision - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.contract_sidon_no_collision - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.contract_node_thermal_bound - -theorem -contract_node_thermal_bound - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.contract_node_thermal_bound - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.contract_qDir_floor - -theorem -contract_qDir_floor - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.contract_qDir_floor - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.contract_qWall_floor - -theorem -contract_qWall_floor - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.contract_qWall_floor - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.qDir - -def -qDir - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.qDir - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.qWall - -def -qWall - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.qWall - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.validPulse - -def -validPulse - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.validPulse - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.validResidual - -def -validResidual - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.validResidual - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.sameUnorderedPair - -def -sameUnorderedPair - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.sameUnorderedPair - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.pairSignature - -def -pairSignature - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.pairSignature - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.SidonSeparated - -def -SidonSeparated - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.SidonSeparated - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.classifyNode - -def -classifyNode - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.classifyNode - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.thermallyAdmissible - -def -thermallyAdmissible - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.thermallyAdmissible - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.fammWallSafe - -def -fammWallSafe - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.fammWallSafe - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.mkToyKinkNode - -def -mkToyKinkNode - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.mkToyKinkNode - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.toyNodes - -def -toyNodes - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.toyNodes - - -contains - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold.architectureSummary - -def -architectureSummary - - - -Semantics.Extensions.HarmonicKinkPlasmaManifold->Semantics.Extensions.HarmonicKinkPlasmaManifold.architectureSummary - - -contains - - - -Semantics.Extensions.HyperbolicStateSurface - -module -HyperbolicStateSurface - - - -Semantics.Extensions.HyperbolicStateSurface.ko_rule_prevents_branch_crossing - -theorem -ko_rule_prevents_branch_crossing - - - -Semantics.Extensions.HyperbolicStateSurface->Semantics.Extensions.HyperbolicStateSurface.ko_rule_prevents_branch_crossing - - -contains - - - -Semantics.Extensions.HyperbolicStateSurface.no_branch_crossing - -theorem -no_branch_crossing - - - -Semantics.Extensions.HyperbolicStateSurface->Semantics.Extensions.HyperbolicStateSurface.no_branch_crossing - - -contains - - - -Semantics.Extensions.HyperbolicStateSurface.asyncFlowPreservesInvariance - -theorem -asyncFlowPreservesInvariance - - - -Semantics.Extensions.HyperbolicStateSurface->Semantics.Extensions.HyperbolicStateSurface.asyncFlowPreservesInvariance - - -contains - - - -Semantics.Extensions.HyperbolicStateSurface.onHyperbola - -def -onHyperbola - - - -Semantics.Extensions.HyperbolicStateSurface->Semantics.Extensions.HyperbolicStateSurface.onHyperbola - - -contains - - - -Semantics.Extensions.HyperbolicStateSurface.onHyperbolaApprox - -def -onHyperbolaApprox - - - -Semantics.Extensions.HyperbolicStateSurface->Semantics.Extensions.HyperbolicStateSurface.onHyperbolaApprox - - -contains - - - -Semantics.Extensions.HyperbolicStateSurface.forwardStep - -def -forwardStep - - - -Semantics.Extensions.HyperbolicStateSurface->Semantics.Extensions.HyperbolicStateSurface.forwardStep - - -contains - - - -Semantics.Extensions.HyperbolicStateSurface.backwardRetrieve - -def -backwardRetrieve - - - -Semantics.Extensions.HyperbolicStateSurface->Semantics.Extensions.HyperbolicStateSurface.backwardRetrieve - - -contains - - - -Semantics.Extensions.HyperbolicStateSurface.cellAtPoint - -def -cellAtPoint - - - -Semantics.Extensions.HyperbolicStateSurface->Semantics.Extensions.HyperbolicStateSurface.cellAtPoint - - -contains - - - -Semantics.Extensions.HyperbolicStateSurface.computeFlowLine - -def -computeFlowLine - - - -Semantics.Extensions.HyperbolicStateSurface->Semantics.Extensions.HyperbolicStateSurface.computeFlowLine - - -contains - - - -Semantics.Extensions.HyperbolicStateSurface.distanceToReversibility - -def -distanceToReversibility - - - -Semantics.Extensions.HyperbolicStateSurface->Semantics.Extensions.HyperbolicStateSurface.distanceToReversibility - - -contains - - - -Semantics.Extensions.HyperbolicStateSurface.E_opp_approx - -def -E_opp_approx - - - -Semantics.Extensions.HyperbolicStateSurface->Semantics.Extensions.HyperbolicStateSurface.E_opp_approx - - -contains - - - -Semantics.Extensions.HyperbolicStateSurface.pbacsRegion - -def -pbacsRegion - - - -Semantics.Extensions.HyperbolicStateSurface->Semantics.Extensions.HyperbolicStateSurface.pbacsRegion - - -contains - - - -Semantics.Extensions.HyperbolicStateSurface.asyncLocalFlow - -def -asyncLocalFlow - - - -Semantics.Extensions.HyperbolicStateSurface->Semantics.Extensions.HyperbolicStateSurface.asyncLocalFlow - - -contains - - - -Semantics.Extensions.LifeHistoryInvariants - -module -LifeHistoryInvariants - - - -Semantics.Extensions.LifeHistoryInvariants.wbeRadiusRatio - -def -wbeRadiusRatio - - - -Semantics.Extensions.LifeHistoryInvariants->Semantics.Extensions.LifeHistoryInvariants.wbeRadiusRatio - - -contains - - - -Semantics.Extensions.LifeHistoryInvariants.wbeLengthRatio - -def -wbeLengthRatio - - - -Semantics.Extensions.LifeHistoryInvariants->Semantics.Extensions.LifeHistoryInvariants.wbeLengthRatio - - -contains - - - -Semantics.Extensions.LifeHistoryInvariants.energyExpenditureRate - -def -energyExpenditureRate - - - -Semantics.Extensions.LifeHistoryInvariants->Semantics.Extensions.LifeHistoryInvariants.energyExpenditureRate - - -contains - - - -Semantics.Extensions.LifeHistoryInvariants.rosDamageUpdate - -def -rosDamageUpdate - - - -Semantics.Extensions.LifeHistoryInvariants->Semantics.Extensions.LifeHistoryInvariants.rosDamageUpdate - - -contains - - - -Semantics.Extensions.LifeHistoryInvariants.maturityMortalityProduct - -def -maturityMortalityProduct - - - -Semantics.Extensions.LifeHistoryInvariants->Semantics.Extensions.LifeHistoryInvariants.maturityMortalityProduct - - -contains - - - -Semantics.Extensions.LifeHistoryInvariants.reproductiveEffortRatio - -def -reproductiveEffortRatio - - - -Semantics.Extensions.LifeHistoryInvariants->Semantics.Extensions.LifeHistoryInvariants.reproductiveEffortRatio - - -contains - - - -Semantics.Extensions.LifeHistoryOptimizationLaws - -module -LifeHistoryOptimizationLaws - - - -Semantics.Extensions.LifeHistoryOptimizationLaws.survivingOffspringCount - -def -survivingOffspringCount - - - -Semantics.Extensions.LifeHistoryOptimizationLaws->Semantics.Extensions.LifeHistoryOptimizationLaws.survivingOffspringCount - - -contains - - - -Semantics.Extensions.LifeHistoryOptimizationLaws.offspringSurvivalProb - -def -offspringSurvivalProb - - - -Semantics.Extensions.LifeHistoryOptimizationLaws->Semantics.Extensions.LifeHistoryOptimizationLaws.offspringSurvivalProb - - -contains - - - -Semantics.Extensions.LifeHistoryOptimizationLaws.parentalFitness - -def -parentalFitness - - - -Semantics.Extensions.LifeHistoryOptimizationLaws->Semantics.Extensions.LifeHistoryOptimizationLaws.parentalFitness - - -contains - - - -Semantics.Extensions.LifeHistoryOptimizationLaws.isOffspringSizeOptimal - -def -isOffspringSizeOptimal - - - -Semantics.Extensions.LifeHistoryOptimizationLaws->Semantics.Extensions.LifeHistoryOptimizationLaws.isOffspringSizeOptimal - - -contains - - - -Semantics.Extensions.LifeHistoryOptimizationLaws.offspringNumberScaling - -def -offspringNumberScaling - - - -Semantics.Extensions.LifeHistoryOptimizationLaws->Semantics.Extensions.LifeHistoryOptimizationLaws.offspringNumberScaling - - -contains - - - -Semantics.Extensions.LifeHistoryTradeoffLaws - -module -LifeHistoryTradeoffLaws - - - -Semantics.Extensions.LifeHistoryTradeoffLaws.annualOffspringThreshold - -def -annualOffspringThreshold - - - -Semantics.Extensions.LifeHistoryTradeoffLaws->Semantics.Extensions.LifeHistoryTradeoffLaws.annualOffspringThreshold - - -contains - - - -Semantics.Extensions.LifeHistoryTradeoffLaws.relativeMaturitySize - -def -relativeMaturitySize - - - -Semantics.Extensions.LifeHistoryTradeoffLaws->Semantics.Extensions.LifeHistoryTradeoffLaws.relativeMaturitySize - - -contains - - - -Semantics.Extensions.LifeHistoryTradeoffLaws.totalEnergyBudget - -def -totalEnergyBudget - - - -Semantics.Extensions.LifeHistoryTradeoffLaws->Semantics.Extensions.LifeHistoryTradeoffLaws.totalEnergyBudget - - -contains - - - -Semantics.Extensions.LifeHistoryTradeoffLaws.netReproductiveRate - -def -netReproductiveRate - - - -Semantics.Extensions.LifeHistoryTradeoffLaws->Semantics.Extensions.LifeHistoryTradeoffLaws.netReproductiveRate - - -contains - - - -Semantics.Extensions.LocomotionMuscleDynamics - -module -LocomotionMuscleDynamics - - - -Semantics.Extensions.LocomotionMuscleDynamics.strouhalNumber - -def -strouhalNumber - - - -Semantics.Extensions.LocomotionMuscleDynamics->Semantics.Extensions.LocomotionMuscleDynamics.strouhalNumber - - -contains - - - -Semantics.Extensions.LocomotionMuscleDynamics.isPropulsionEfficient - -def -isPropulsionEfficient - - - -Semantics.Extensions.LocomotionMuscleDynamics->Semantics.Extensions.LocomotionMuscleDynamics.isPropulsionEfficient - - -contains - - - -Semantics.Extensions.LocomotionMuscleDynamics.froudeNumber - -def -froudeNumber - - - -Semantics.Extensions.LocomotionMuscleDynamics->Semantics.Extensions.LocomotionMuscleDynamics.froudeNumber - - -contains - - - -Semantics.Extensions.LocomotionMuscleDynamics.crossBridgeUpdate - -def -crossBridgeUpdate - - - -Semantics.Extensions.LocomotionMuscleDynamics->Semantics.Extensions.LocomotionMuscleDynamics.crossBridgeUpdate - - -contains - - - -Semantics.Extensions.MalthusianHayflickDynamics - -module -MalthusianHayflickDynamics - - - -Semantics.Extensions.MalthusianHayflickDynamics.malthusianPopulation - -def -malthusianPopulation - - - -Semantics.Extensions.MalthusianHayflickDynamics->Semantics.Extensions.MalthusianHayflickDynamics.malthusianPopulation - - -contains - - - -Semantics.Extensions.MalthusianHayflickDynamics.telomereLength - -def -telomereLength - - - -Semantics.Extensions.MalthusianHayflickDynamics->Semantics.Extensions.MalthusianHayflickDynamics.telomereLength - - -contains - - - -Semantics.Extensions.MalthusianHayflickDynamics.isSenescent - -def -isSenescent - - - -Semantics.Extensions.MalthusianHayflickDynamics->Semantics.Extensions.MalthusianHayflickDynamics.isSenescent - - -contains - - - -Semantics.Extensions.ManifoldBlit - -module -ManifoldBlit - - - -Semantics.Extensions.ManifoldBlit.quantLLM_idempotent - -theorem -quantLLM_idempotent - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.quantLLM_idempotent - - -contains - - - -Semantics.Extensions.ManifoldBlit.blitter_zero - -theorem -blitter_zero - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.blitter_zero - - -contains - - - -Semantics.Extensions.ManifoldBlit.blitter_bounded - -theorem -blitter_bounded - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.blitter_bounded - - -contains - - - -Semantics.Extensions.ManifoldBlit.dag_cache_hit_no_change - -theorem -dag_cache_hit_no_change - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.dag_cache_hit_no_change - - -contains - - - -Semantics.Extensions.ManifoldBlit.floatMin - -def -floatMin - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.floatMin - - -contains - - - -Semantics.Extensions.ManifoldBlit.floatMax - -def -floatMax - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.floatMax - - -contains - - - -Semantics.Extensions.ManifoldBlit.arraySetD - -def -arraySetD - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.arraySetD - - -contains - - - -Semantics.Extensions.ManifoldBlit.QuantLLM - -def -QuantLLM - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.QuantLLM - - -contains - - - -Semantics.Extensions.ManifoldBlit.J_DAG - -def -J_DAG - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.J_DAG - - -contains - - - -Semantics.Extensions.ManifoldBlit.blitterOp - -def -blitterOp - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.blitterOp - - -contains - - - -Semantics.Extensions.ManifoldBlit.quantumWalk - -def -quantumWalk - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.quantumWalk - - -contains - - - -Semantics.Extensions.ManifoldBlit.interferenceOp - -def -interferenceOp - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.interferenceOp - - -contains - - - -Semantics.Extensions.ManifoldBlit.multiRayPather - -def -multiRayPather - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.multiRayPather - - -contains - - - -Semantics.Extensions.ManifoldBlit.driftTensor - -def -driftTensor - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.driftTensor - - -contains - - - -Semantics.Extensions.ManifoldBlit.blitStep - -def -blitStep - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.blitStep - - -contains - - - -Semantics.Extensions.ManifoldBlit.blitRun - -def -blitRun - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.blitRun - - -contains - - - -Semantics.Extensions.ManifoldBlit.manifoldRadiography - -def -manifoldRadiography - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.manifoldRadiography - - -contains - - - -Semantics.Extensions.ManifoldBlit.tomographicConsensus - -def -tomographicConsensus - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.tomographicConsensus - - -contains - - - -Semantics.Extensions.ManifoldBlit.adaptiveResolution - -def -adaptiveResolution - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.adaptiveResolution - - -contains - - - -Semantics.Extensions.ManifoldBlit.deltaRadiography - -def -deltaRadiography - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.deltaRadiography - - -contains - - - -Semantics.Extensions.ManifoldBlit.totalDeformationBudget - -def -totalDeformationBudget - - - -Semantics.Extensions.ManifoldBlit->Semantics.Extensions.ManifoldBlit.totalDeformationBudget - - -contains - - - -Semantics.Extensions.MarineMigrationDynamics - -module -MarineMigrationDynamics - - - -Semantics.Extensions.MarineMigrationDynamics.migrationFitness - -def -migrationFitness - - - -Semantics.Extensions.MarineMigrationDynamics->Semantics.Extensions.MarineMigrationDynamics.migrationFitness - - -contains - - - -Semantics.Extensions.MarineMigrationDynamics.verticalSwimmingSpeed - -def -verticalSwimmingSpeed - - - -Semantics.Extensions.MarineMigrationDynamics->Semantics.Extensions.MarineMigrationDynamics.verticalSwimmingSpeed - - -contains - - - -Semantics.Extensions.MarineMigrationDynamics.turbulentEncounterRate - -def -turbulentEncounterRate - - - -Semantics.Extensions.MarineMigrationDynamics->Semantics.Extensions.MarineMigrationDynamics.turbulentEncounterRate - - -contains - - - -Semantics.Extensions.MarineMigrationDynamics.isStayTimeOptimal - -def -isStayTimeOptimal - - - -Semantics.Extensions.MarineMigrationDynamics->Semantics.Extensions.MarineMigrationDynamics.isStayTimeOptimal - - -contains - - - -Semantics.Extensions.MarinePlanktonDynamics - -module -MarinePlanktonDynamics - - - -Semantics.Extensions.MarinePlanktonDynamics.sverdrupCondition - -def -sverdrupCondition - - - -Semantics.Extensions.MarinePlanktonDynamics->Semantics.Extensions.MarinePlanktonDynamics.sverdrupCondition - - -contains - - - -Semantics.Extensions.MarinePlanktonDynamics.stokesSinkingVelocity - -def -stokesSinkingVelocity - - - -Semantics.Extensions.MarinePlanktonDynamics->Semantics.Extensions.MarinePlanktonDynamics.stokesSinkingVelocity - - -contains - - - -Semantics.Extensions.MarinePlanktonDynamics.q10RateRatio - -def -q10RateRatio - - - -Semantics.Extensions.MarinePlanktonDynamics->Semantics.Extensions.MarinePlanktonDynamics.q10RateRatio - - -contains - - - -Semantics.Extensions.MasterEquation - -module -MasterEquation - - - -Semantics.Extensions.MasterEquation.mlgru_preserves_bounds - -theorem -mlgru_preserves_bounds - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.mlgru_preserves_bounds - - -contains - - - -Semantics.Extensions.MasterEquation.gossip_non_decreasing_energy - -theorem -gossip_non_decreasing_energy - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.gossip_non_decreasing_energy - - -contains - - - -Semantics.Extensions.MasterEquation.zero - -def -zero - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.zero - - -contains - - - -Semantics.Extensions.MasterEquation.TernaryWeight - -def -TernaryWeight - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.TernaryWeight - - -contains - - - -Semantics.Extensions.MasterEquation.MLGRUState - -def -MLGRUState - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.MLGRUState - - -contains - - - -Semantics.Extensions.MasterEquation.ScalarNode - -def -ScalarNode - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.ScalarNode - - -contains - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.ScalarNode - - -contains - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.ScalarNode - - -contains - - - -Semantics.Extensions.MasterEquation.hyperbolaIndex - -def -hyperbolaIndex - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.hyperbolaIndex - - -contains - - - -Semantics.Extensions.MasterEquation.mirrorIndex - -def -mirrorIndex - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.mirrorIndex - - -contains - - - -Semantics.Extensions.MasterEquation.expandCriterion - -def -expandCriterion - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.expandCriterion - - -contains - - - -Semantics.Extensions.MasterEquation.stepExpand - -def -stepExpand - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.stepExpand - - -contains - - - -Semantics.Extensions.MasterEquation.nkCouplingScore - -def -nkCouplingScore - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.nkCouplingScore - - -contains - - - -Semantics.Extensions.MasterEquation.sigmaScore - -def -sigmaScore - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.sigmaScore - - -contains - - - -Semantics.Extensions.MasterEquation.compositeScore - -def -compositeScore - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.compositeScore - - -contains - - - -Semantics.Extensions.MasterEquation.stepScore - -def -stepScore - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.stepScore - - -contains - - - -Semantics.Extensions.MasterEquation.aciViolation - -def -aciViolation - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.aciViolation - - -contains - - - -Semantics.Extensions.MasterEquation.liIntegrable - -def -liIntegrable - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.liIntegrable - - -contains - - - -Semantics.Extensions.MasterEquation.shuntNode - -def -shuntNode - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.shuntNode - - -contains - - - -Semantics.Extensions.MasterEquation.stepStabilize - -def -stepStabilize - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.stepStabilize - - -contains - - - -Semantics.Extensions.MasterEquation.pruneCriterion - -def -pruneCriterion - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.pruneCriterion - - -contains - - - -Semantics.Extensions.MasterEquation.stepPrune - -def -stepPrune - - - -Semantics.Extensions.MasterEquation->Semantics.Extensions.MasterEquation.stepPrune - - -contains - - - -Semantics.Extensions.MicrobialBiomassDynamics - -module -MicrobialBiomassDynamics - - - -Semantics.Extensions.MicrobialBiomassDynamics.monodGrowthRate - -def -monodGrowthRate - - - -Semantics.Extensions.MicrobialBiomassDynamics->Semantics.Extensions.MicrobialBiomassDynamics.monodGrowthRate - - -contains - - - -Semantics.Extensions.MicrobialBiomassDynamics.specificUptakeRate - -def -specificUptakeRate - - - -Semantics.Extensions.MicrobialBiomassDynamics->Semantics.Extensions.MicrobialBiomassDynamics.specificUptakeRate - - -contains - - - -Semantics.Extensions.MicrobialBiomassDynamics.logisticGrowthUpdate - -def -logisticGrowthUpdate - - - -Semantics.Extensions.MicrobialBiomassDynamics->Semantics.Extensions.MicrobialBiomassDynamics.logisticGrowthUpdate - - -contains - - - -Semantics.Extensions.MicrobialBiomassDynamics.gompertzGrowthUpdate - -def -gompertzGrowthUpdate - - - -Semantics.Extensions.MicrobialBiomassDynamics->Semantics.Extensions.MicrobialBiomassDynamics.gompertzGrowthUpdate - - -contains - - - -Semantics.Extensions.MolecularBindingThermodynamics - -module -MolecularBindingThermodynamics - - - -Semantics.Extensions.MolecularBindingThermodynamics.boltzmannBindingWeight - -def -boltzmannBindingWeight - - - -Semantics.Extensions.MolecularBindingThermodynamics->Semantics.Extensions.MolecularBindingThermodynamics.boltzmannBindingWeight - - -contains - - - -Semantics.Extensions.MolecularBindingThermodynamics.bindingOccupancy - -def -bindingOccupancy - - - -Semantics.Extensions.MolecularBindingThermodynamics->Semantics.Extensions.MolecularBindingThermodynamics.bindingOccupancy - - -contains - - - -Semantics.Extensions.MolecularBindingThermodynamics.bindingSpecificityRatio - -def -bindingSpecificityRatio - - - -Semantics.Extensions.MolecularBindingThermodynamics->Semantics.Extensions.MolecularBindingThermodynamics.bindingSpecificityRatio - - -contains - - - -Semantics.Extensions.MolecularBindingThermodynamics.totalBindingEnergy - -def -totalBindingEnergy - - - -Semantics.Extensions.MolecularBindingThermodynamics->Semantics.Extensions.MolecularBindingThermodynamics.totalBindingEnergy - - -contains - - - -Semantics.Extensions.MolecularCooperation - -module -MolecularCooperation - - - -Semantics.Extensions.MolecularCooperation.hillSaturation - -def -hillSaturation - - - -Semantics.Extensions.MolecularCooperation->Semantics.Extensions.MolecularCooperation.hillSaturation - - -contains - - - -Semantics.Extensions.MolecularCooperation.adairSaturation - -def -adairSaturation - - - -Semantics.Extensions.MolecularCooperation->Semantics.Extensions.MolecularCooperation.adairSaturation - - -contains - - - -Semantics.Extensions.MolecularCooperation.mwcSaturation - -def -mwcSaturation - - - -Semantics.Extensions.MolecularCooperation->Semantics.Extensions.MolecularCooperation.mwcSaturation - - -contains - - - -Semantics.Extensions.MolecularCooperation.knfSaturation - -def -knfSaturation - - - -Semantics.Extensions.MolecularCooperation->Semantics.Extensions.MolecularCooperation.knfSaturation - - -contains - - - -Semantics.Extensions.MorphoKineticLaws - -module -MorphoKineticLaws - - - -Semantics.Extensions.MorphoKineticLaws.shellRadius - -def -shellRadius - - - -Semantics.Extensions.MorphoKineticLaws->Semantics.Extensions.MorphoKineticLaws.shellRadius - - -contains - - - -Semantics.Extensions.MorphoKineticLaws.reactionRate - -def -reactionRate - - - -Semantics.Extensions.MorphoKineticLaws->Semantics.Extensions.MorphoKineticLaws.reactionRate - - -contains - - - -Semantics.Extensions.MorphoKineticLaws.chemicalEquilibriumConstant - -def -chemicalEquilibriumConstant - - - -Semantics.Extensions.MorphoKineticLaws->Semantics.Extensions.MorphoKineticLaws.chemicalEquilibriumConstant - - -contains - - - -Semantics.Extensions.MorphogeneticLaws - -module -MorphogeneticLaws - - - -Semantics.Extensions.MorphogeneticLaws.frenchFlagFate - -def -frenchFlagFate - - - -Semantics.Extensions.MorphogeneticLaws->Semantics.Extensions.MorphogeneticLaws.frenchFlagFate - - -contains - - - -Semantics.Extensions.MorphogeneticLaws.morphogenGradient - -def -morphogenGradient - - - -Semantics.Extensions.MorphogeneticLaws->Semantics.Extensions.MorphogeneticLaws.morphogenGradient - - -contains - - - -Semantics.Extensions.MorphogeneticLaws.lewisCellArea - -def -lewisCellArea - - - -Semantics.Extensions.MorphogeneticLaws->Semantics.Extensions.MorphogeneticLaws.lewisCellArea - - -contains - - - -Semantics.Extensions.MorphogeneticLaws.aboavWeaireNeighbors - -def -aboavWeaireNeighbors - - - -Semantics.Extensions.MorphogeneticLaws->Semantics.Extensions.MorphogeneticLaws.aboavWeaireNeighbors - - -contains - - - -Semantics.Extensions.MorphogeneticLaws.growthDilution - -def -growthDilution - - - -Semantics.Extensions.MorphogeneticLaws->Semantics.Extensions.MorphogeneticLaws.growthDilution - - -contains - - - -Semantics.Extensions.MorphologicalDynamics - -module -MorphologicalDynamics - - - -Semantics.Extensions.MorphologicalDynamics.transformPoint - -def -transformPoint - - - -Semantics.Extensions.MorphologicalDynamics->Semantics.Extensions.MorphologicalDynamics.transformPoint - - -contains - - - -Semantics.Extensions.MorphologicalDynamics.murrayRadiusSum - -def -murrayRadiusSum - - - -Semantics.Extensions.MorphologicalDynamics->Semantics.Extensions.MorphologicalDynamics.murrayRadiusSum - - -contains - - - -Semantics.Extensions.MorphologicalDynamics.linkingNumber - -def -linkingNumber - - - -Semantics.Extensions.MorphologicalDynamics->Semantics.Extensions.MorphologicalDynamics.linkingNumber - - -contains - - - -Semantics.Extensions.MorphologicalDynamics.superhelicalDensity - -def -superhelicalDensity - - - -Semantics.Extensions.MorphologicalDynamics->Semantics.Extensions.MorphologicalDynamics.superhelicalDensity - - -contains - - - -Semantics.Extensions.MorphologicalDynamics.brainMass - -def -brainMass - - - -Semantics.Extensions.MorphologicalDynamics->Semantics.Extensions.MorphologicalDynamics.brainMass - - -contains - - - -Semantics.Extensions.MorphologicalDynamics.encephalizationQuotient - -def -encephalizationQuotient - - - -Semantics.Extensions.MorphologicalDynamics->Semantics.Extensions.MorphologicalDynamics.encephalizationQuotient - - -contains - - - -Semantics.Extensions.NKCoupling - -module -NKCoupling - - - -Semantics.Extensions.NKCoupling.hyperbola_min_at_squares - -theorem -hyperbola_min_at_squares - - - -Semantics.Extensions.NKCoupling->Semantics.Extensions.NKCoupling.hyperbola_min_at_squares - - -contains - - - -Semantics.Extensions.NKCoupling.mirror_zero_midway - -theorem -mirror_zero_midway - - - -Semantics.Extensions.NKCoupling->Semantics.Extensions.NKCoupling.mirror_zero_midway - - -contains - - - -Semantics.Extensions.NKCoupling.couplingScore_bounded - -theorem -couplingScore_bounded - - - -Semantics.Extensions.NKCoupling->Semantics.Extensions.NKCoupling.couplingScore_bounded - - -contains - - - -Semantics.Extensions.NKCoupling.mondominance - -theorem -mondominance - - - -Semantics.Extensions.NKCoupling->Semantics.Extensions.NKCoupling.mondominance - - -contains - - - -Semantics.Extensions.NKCoupling.nearestSquares - -def -nearestSquares - - - -Semantics.Extensions.NKCoupling->Semantics.Extensions.NKCoupling.nearestSquares - - -contains - - - -Semantics.Extensions.NKCoupling.hyperbolaIndex - -def -hyperbolaIndex - - - -Semantics.Extensions.NKCoupling->Semantics.Extensions.NKCoupling.hyperbolaIndex - - -contains - - - -Semantics.Extensions.NKCoupling.mirrorIndex - -def -mirrorIndex - - - -Semantics.Extensions.NKCoupling->Semantics.Extensions.NKCoupling.mirrorIndex - - -contains - - - -Semantics.Extensions.NKCoupling.couplingScore - -def -couplingScore - - - -Semantics.Extensions.NKCoupling->Semantics.Extensions.NKCoupling.couplingScore - - -contains - - - -Semantics.Extensions.NKCoupling.isNKResonance - -def -isNKResonance - - - -Semantics.Extensions.NKCoupling->Semantics.Extensions.NKCoupling.isNKResonance - - -contains - - - -Semantics.Extensions.NKCoupling.spaceCreationRate - -def -spaceCreationRate - - - -Semantics.Extensions.NKCoupling->Semantics.Extensions.NKCoupling.spaceCreationRate - - -contains - - - -Semantics.Extensions.NKCoupling.isMONDRegime - -def -isMONDRegime - - - -Semantics.Extensions.NKCoupling->Semantics.Extensions.NKCoupling.isMONDRegime - - -contains - - - -Semantics.Extensions.NKCoupling.nodeToNKCoord - -def -nodeToNKCoord - - - -Semantics.Extensions.NKCoupling->Semantics.Extensions.NKCoupling.nodeToNKCoord - - -contains - - - -Semantics.Extensions.NKCoupling.gossipEnergyToCarrier - -def -gossipEnergyToCarrier - - - -Semantics.Extensions.NKCoupling->Semantics.Extensions.NKCoupling.gossipEnergyToCarrier - - -contains - - - -Semantics.Extensions.NKCoupling.coherenceToCharacter - -def -coherenceToCharacter - - - -Semantics.Extensions.NKCoupling->Semantics.Extensions.NKCoupling.coherenceToCharacter - - -contains - - - -Semantics.Extensions.NeuralFieldDynamics - -module -NeuralFieldDynamics - - - -Semantics.Extensions.NeuralFieldDynamics.neuralPotentialStep - -def -neuralPotentialStep - - - -Semantics.Extensions.NeuralFieldDynamics->Semantics.Extensions.NeuralFieldDynamics.neuralPotentialStep - - -contains - - - -Semantics.Extensions.NeuralFieldDynamics.mexicanHatKernel - -def -mexicanHatKernel - - - -Semantics.Extensions.NeuralFieldDynamics->Semantics.Extensions.NeuralFieldDynamics.mexicanHatKernel - - -contains - - - -Semantics.Extensions.NeuralFieldDynamics.sigmoidActivation - -def -sigmoidActivation - - - -Semantics.Extensions.NeuralFieldDynamics->Semantics.Extensions.NeuralFieldDynamics.sigmoidActivation - - -contains - - - -Semantics.Extensions.NeuralTrophicSwimmingDynamics - -module -NeuralTrophicSwimmingDynamics - - - -Semantics.Extensions.NeuralTrophicSwimmingDynamics.stdpWeightDelta - -def -stdpWeightDelta - - - -Semantics.Extensions.NeuralTrophicSwimmingDynamics->Semantics.Extensions.NeuralTrophicSwimmingDynamics.stdpWeightDelta - - -contains - - - -Semantics.Extensions.NeuralTrophicSwimmingDynamics.nextTrophicProduction - -def -nextTrophicProduction - - - -Semantics.Extensions.NeuralTrophicSwimmingDynamics->Semantics.Extensions.NeuralTrophicSwimmingDynamics.nextTrophicProduction - - -contains - - - -Semantics.Extensions.NeuralTrophicSwimmingDynamics.slenderBodyReactiveForce - -def -slenderBodyReactiveForce - - - -Semantics.Extensions.NeuralTrophicSwimmingDynamics->Semantics.Extensions.NeuralTrophicSwimmingDynamics.slenderBodyReactiveForce - - -contains - - - -Semantics.Extensions.NeuroEmergentLaws - -module -NeuroEmergentLaws - - - -Semantics.Extensions.NeuroEmergentLaws.hebbianDelta - -def -hebbianDelta - - - -Semantics.Extensions.NeuroEmergentLaws->Semantics.Extensions.NeuroEmergentLaws.hebbianDelta - - -contains - - - -Semantics.Extensions.NeuroEmergentLaws.ojaDelta - -def -ojaDelta - - - -Semantics.Extensions.NeuroEmergentLaws->Semantics.Extensions.NeuroEmergentLaws.ojaDelta - - -contains - - - -Semantics.Extensions.NeuroEmergentLaws.hopfieldEnergy - -def -hopfieldEnergy - - - -Semantics.Extensions.NeuroEmergentLaws->Semantics.Extensions.NeuroEmergentLaws.hopfieldEnergy - - -contains - - - -Semantics.Extensions.NeuroEmergentLaws.avalancheProbability - -def -avalancheProbability - - - -Semantics.Extensions.NeuroEmergentLaws->Semantics.Extensions.NeuroEmergentLaws.avalancheProbability - - -contains - - - -Semantics.Extensions.NeuroInformationDynamics - -module -NeuroInformationDynamics - - - -Semantics.Extensions.NeuroInformationDynamics.informationBottleneckLagrangian - -def -informationBottleneckLagrangian - - - -Semantics.Extensions.NeuroInformationDynamics->Semantics.Extensions.NeuroInformationDynamics.informationBottleneckLagrangian - - -contains - - - -Semantics.Extensions.NeuroInformationDynamics.predictionError - -def -predictionError - - - -Semantics.Extensions.NeuroInformationDynamics->Semantics.Extensions.NeuroInformationDynamics.predictionError - - -contains - - - -Semantics.Extensions.NeuroInformationDynamics.representationUpdate - -def -representationUpdate - - - -Semantics.Extensions.NeuroInformationDynamics->Semantics.Extensions.NeuroInformationDynamics.representationUpdate - - -contains - - - -Semantics.Extensions.NeuroInformationDynamics.perceivedSensationLog - -def -perceivedSensationLog - - - -Semantics.Extensions.NeuroInformationDynamics->Semantics.Extensions.NeuroInformationDynamics.perceivedSensationLog - - -contains - - - -Semantics.Extensions.NeuroInformationDynamics.perceivedSensationPower - -def -perceivedSensationPower - - - -Semantics.Extensions.NeuroInformationDynamics->Semantics.Extensions.NeuroInformationDynamics.perceivedSensationPower - - -contains - - - -Semantics.Extensions.NicheAgingDynamics - -module -NicheAgingDynamics - - - -Semantics.Extensions.NicheAgingDynamics.resourceThresholdRStar - -def -resourceThresholdRStar - - - -Semantics.Extensions.NicheAgingDynamics->Semantics.Extensions.NicheAgingDynamics.resourceThresholdRStar - - -contains - - - -Semantics.Extensions.NicheAgingDynamics.strehlerMildvanCorrelation - -def -strehlerMildvanCorrelation - - - -Semantics.Extensions.NicheAgingDynamics->Semantics.Extensions.NicheAgingDynamics.strehlerMildvanCorrelation - - -contains - - - -Semantics.Extensions.NicheAgingDynamics.vitalityDecay - -def -vitalityDecay - - - -Semantics.Extensions.NicheAgingDynamics->Semantics.Extensions.NicheAgingDynamics.vitalityDecay - - -contains - - - -Semantics.Extensions.NicheAgingDynamics.plateauMortality - -def -plateauMortality - - - -Semantics.Extensions.NicheAgingDynamics->Semantics.Extensions.NicheAgingDynamics.plateauMortality - - -contains - - - -Semantics.Extensions.NicheIonDynamics - -module -NicheIonDynamics - - - -Semantics.Extensions.NicheIonDynamics.isWithinNiche - -def -isWithinNiche - - - -Semantics.Extensions.NicheIonDynamics->Semantics.Extensions.NicheIonDynamics.isWithinNiche - - -contains - - - -Semantics.Extensions.NicheIonDynamics.nernstPlanckFlux - -def -nernstPlanckFlux - - - -Semantics.Extensions.NicheIonDynamics->Semantics.Extensions.NicheIonDynamics.nernstPlanckFlux - - -contains - - - -Semantics.Extensions.NicheIonDynamics.speciesRichnessLog - -def -speciesRichnessLog - - - -Semantics.Extensions.NicheIonDynamics->Semantics.Extensions.NicheIonDynamics.speciesRichnessLog - - -contains - - - -Semantics.Extensions.NicheSpecializationDynamics - -module -NicheSpecializationDynamics - - - -Semantics.Extensions.NicheSpecializationDynamics.mortalityRate - -def -mortalityRate - - - -Semantics.Extensions.NicheSpecializationDynamics->Semantics.Extensions.NicheSpecializationDynamics.mortalityRate - - -contains - - - -Semantics.Extensions.NicheSpecializationDynamics.gatenbyUpdate - -def -gatenbyUpdate - - - -Semantics.Extensions.NicheSpecializationDynamics->Semantics.Extensions.NicheSpecializationDynamics.gatenbyUpdate - - -contains - - - -Semantics.Extensions.NicheSpecializationDynamics.izhikevichStep - -def -izhikevichStep - - - -Semantics.Extensions.NicheSpecializationDynamics->Semantics.Extensions.NicheSpecializationDynamics.izhikevichStep - - -contains - - - -Semantics.Extensions.NicheSpecializationDynamics.kuramotoSynchrony - -def -kuramotoSynchrony - - - -Semantics.Extensions.NicheSpecializationDynamics->Semantics.Extensions.NicheSpecializationDynamics.kuramotoSynchrony - - -contains - - - -Semantics.Extensions.NicheSpecializationDynamics.vascularAreaMerge - -def -vascularAreaMerge - - - -Semantics.Extensions.NicheSpecializationDynamics->Semantics.Extensions.NicheSpecializationDynamics.vascularAreaMerge - - -contains - - - -Semantics.Extensions.NutrientQuotaDynamics - -module -NutrientQuotaDynamics - - - -Semantics.Extensions.NutrientQuotaDynamics.droopGrowthRate - -def -droopGrowthRate - - - -Semantics.Extensions.NutrientQuotaDynamics->Semantics.Extensions.NutrientQuotaDynamics.droopGrowthRate - - -contains - - - -Semantics.Extensions.NutrientQuotaDynamics.cellQuotaInvariant - -def -cellQuotaInvariant - - - -Semantics.Extensions.NutrientQuotaDynamics->Semantics.Extensions.NutrientQuotaDynamics.cellQuotaInvariant - - -contains - - - -Semantics.Extensions.NutrientQuotaDynamics.quotaUpdateStep - -def -quotaUpdateStep - - - -Semantics.Extensions.NutrientQuotaDynamics->Semantics.Extensions.NutrientQuotaDynamics.quotaUpdateStep - - -contains - - - -Semantics.Extensions.OceanicBiomassScalingLaws - -module -OceanicBiomassScalingLaws - - - -Semantics.Extensions.OceanicBiomassScalingLaws.sheldonBiomassConstant - -def -sheldonBiomassConstant - - - -Semantics.Extensions.OceanicBiomassScalingLaws->Semantics.Extensions.OceanicBiomassScalingLaws.sheldonBiomassConstant - - -contains - - - -Semantics.Extensions.OceanicBiomassScalingLaws.numericalAbundance - -def -numericalAbundance - - - -Semantics.Extensions.OceanicBiomassScalingLaws->Semantics.Extensions.OceanicBiomassScalingLaws.numericalAbundance - - -contains - - - -Semantics.Extensions.OceanicBiomassScalingLaws.productionRateScale - -def -productionRateScale - - - -Semantics.Extensions.OceanicBiomassScalingLaws->Semantics.Extensions.OceanicBiomassScalingLaws.productionRateScale - - -contains - - - -Semantics.Extensions.OceanicBiomassScalingLaws.energyUseInvariant - -def -energyUseInvariant - - - -Semantics.Extensions.OceanicBiomassScalingLaws->Semantics.Extensions.OceanicBiomassScalingLaws.energyUseInvariant - - -contains - - - -Semantics.Extensions.PhotosynthesisHydraulicDynamics - -module -PhotosynthesisHydraulicDynamics - - - -Semantics.Extensions.PhotosynthesisHydraulicDynamics.rubiscoLimitedRate - -def -rubiscoLimitedRate - - - -Semantics.Extensions.PhotosynthesisHydraulicDynamics->Semantics.Extensions.PhotosynthesisHydraulicDynamics.rubiscoLimitedRate - - -contains - - - -Semantics.Extensions.PhotosynthesisHydraulicDynamics.rubpRegenRate - -def -rubpRegenRate - - - -Semantics.Extensions.PhotosynthesisHydraulicDynamics->Semantics.Extensions.PhotosynthesisHydraulicDynamics.rubpRegenRate - - -contains - - - -Semantics.Extensions.PhotosynthesisHydraulicDynamics.stomatalConductance - -def -stomatalConductance - - - -Semantics.Extensions.PhotosynthesisHydraulicDynamics->Semantics.Extensions.PhotosynthesisHydraulicDynamics.stomatalConductance - - -contains - - - -Semantics.Extensions.PhotosynthesisHydraulicDynamics.intrinsicWUE - -def -intrinsicWUE - - - -Semantics.Extensions.PhotosynthesisHydraulicDynamics->Semantics.Extensions.PhotosynthesisHydraulicDynamics.intrinsicWUE - - -contains - - - -Semantics.Extensions.PhotosynthesisHydraulicDynamics.lightResponseRate - -def -lightResponseRate - - - -Semantics.Extensions.PhotosynthesisHydraulicDynamics->Semantics.Extensions.PhotosynthesisHydraulicDynamics.lightResponseRate - - -contains - - - -Semantics.Extensions.PhysiologicalInvariants - -module -PhysiologicalInvariants - - - -Semantics.Extensions.PhysiologicalInvariants.poiseuilleFlow - -def -poiseuilleFlow - - - -Semantics.Extensions.PhysiologicalInvariants->Semantics.Extensions.PhysiologicalInvariants.poiseuilleFlow - - -contains - - - -Semantics.Extensions.PhysiologicalInvariants.strokeVolume - -def -strokeVolume - - - -Semantics.Extensions.PhysiologicalInvariants->Semantics.Extensions.PhysiologicalInvariants.strokeVolume - - -contains - - - -Semantics.Extensions.PhysiologicalInvariants.cardiacOutput - -def -cardiacOutput - - - -Semantics.Extensions.PhysiologicalInvariants->Semantics.Extensions.PhysiologicalInvariants.cardiacOutput - - -contains - - - -Semantics.Extensions.PhysiologicalInvariants.savRatio - -def -savRatio - - - -Semantics.Extensions.PhysiologicalInvariants->Semantics.Extensions.PhysiologicalInvariants.savRatio - - -contains - - - -Semantics.Extensions.PhysiologicalInvariants.copeSizeGrowth - -def -copeSizeGrowth - - - -Semantics.Extensions.PhysiologicalInvariants->Semantics.Extensions.PhysiologicalInvariants.copeSizeGrowth - - -contains - - - -Semantics.Extensions.PlanetaryNeuroTopology - -module -PlanetaryNeuroTopology - - - -Semantics.Extensions.PlanetaryNeuroTopology.daisyGrowthRate - -def -daisyGrowthRate - - - -Semantics.Extensions.PlanetaryNeuroTopology->Semantics.Extensions.PlanetaryNeuroTopology.daisyGrowthRate - - -contains - - - -Semantics.Extensions.PlanetaryNeuroTopology.daisyPopulationStep - -def -daisyPopulationStep - - - -Semantics.Extensions.PlanetaryNeuroTopology->Semantics.Extensions.PlanetaryNeuroTopology.daisyPopulationStep - - -contains - - - -Semantics.Extensions.PlanetaryNeuroTopology.metabolicRate - -def -metabolicRate - - - -Semantics.Extensions.PlanetaryNeuroTopology->Semantics.Extensions.PlanetaryNeuroTopology.metabolicRate - - -contains - - - -Semantics.Extensions.PlanetaryNeuroTopology.lifespanScaling - -def -lifespanScaling - - - -Semantics.Extensions.PlanetaryNeuroTopology->Semantics.Extensions.PlanetaryNeuroTopology.lifespanScaling - - -contains - - - -Semantics.Extensions.PlanetaryNeuroTopology.neuralCavityStability - -def -neuralCavityStability - - - -Semantics.Extensions.PlanetaryNeuroTopology->Semantics.Extensions.PlanetaryNeuroTopology.neuralCavityStability - - -contains - - - -Semantics.Extensions.PlanetaryNeuroTopology.reproductiveEffort - -def -reproductiveEffort - - - -Semantics.Extensions.PlanetaryNeuroTopology->Semantics.Extensions.PlanetaryNeuroTopology.reproductiveEffort - - -contains - - - -Semantics.Extensions.PlantHydraulicDynamics - -module -PlantHydraulicDynamics - - - -Semantics.Extensions.PlantHydraulicDynamics.stemLeafCoordination - -def -stemLeafCoordination - - - -Semantics.Extensions.PlantHydraulicDynamics->Semantics.Extensions.PlantHydraulicDynamics.stemLeafCoordination - - -contains - - - -Semantics.Extensions.PlantHydraulicDynamics.pipeAreaProportionality - -def -pipeAreaProportionality - - - -Semantics.Extensions.PlantHydraulicDynamics->Semantics.Extensions.PlantHydraulicDynamics.pipeAreaProportionality - - -contains - - - -Semantics.Extensions.PlantHydraulicDynamics.percentageConductivityLoss - -def -percentageConductivityLoss - - - -Semantics.Extensions.PlantHydraulicDynamics->Semantics.Extensions.PlantHydraulicDynamics.percentageConductivityLoss - - -contains - - - -Semantics.Extensions.PlantPhyllotaxisLaws - -module -PlantPhyllotaxisLaws - - - -Semantics.Extensions.PlantPhyllotaxisLaws.vogelAngle - -def -vogelAngle - - - -Semantics.Extensions.PlantPhyllotaxisLaws->Semantics.Extensions.PlantPhyllotaxisLaws.vogelAngle - - -contains - - - -Semantics.Extensions.PlantPhyllotaxisLaws.vogelRadius - -def -vogelRadius - - - -Semantics.Extensions.PlantPhyllotaxisLaws->Semantics.Extensions.PlantPhyllotaxisLaws.vogelRadius - - -contains - - - -Semantics.Extensions.PlantPhyllotaxisLaws.goldenRatio - -def -goldenRatio - - - -Semantics.Extensions.PlantPhyllotaxisLaws->Semantics.Extensions.PlantPhyllotaxisLaws.goldenRatio - - -contains - - - -Semantics.Extensions.PlantPhyllotaxisLaws.goldenAngleDeg - -def -goldenAngleDeg - - - -Semantics.Extensions.PlantPhyllotaxisLaws->Semantics.Extensions.PlantPhyllotaxisLaws.goldenAngleDeg - - -contains - - - -Semantics.Extensions.PlantPhyllotaxisLaws.isPositionOptimal - -def -isPositionOptimal - - - -Semantics.Extensions.PlantPhyllotaxisLaws->Semantics.Extensions.PlantPhyllotaxisLaws.isPositionOptimal - - -contains - - - -Semantics.Extensions.PopulationChaosDynamics - -module -PopulationChaosDynamics - - - -Semantics.Extensions.PopulationChaosDynamics.logisticMap - -def -logisticMap - - - -Semantics.Extensions.PopulationChaosDynamics->Semantics.Extensions.PopulationChaosDynamics.logisticMap - - -contains - - - -Semantics.Extensions.PopulationChaosDynamics.lotkaStabilityScore - -def -lotkaStabilityScore - - - -Semantics.Extensions.PopulationChaosDynamics->Semantics.Extensions.PopulationChaosDynamics.lotkaStabilityScore - - -contains - - - -Semantics.Extensions.PopulationChaosDynamics.lifePersistenceRatio - -def -lifePersistenceRatio - - - -Semantics.Extensions.PopulationChaosDynamics->Semantics.Extensions.PopulationChaosDynamics.lifePersistenceRatio - - -contains - - - -Semantics.Extensions.PopulationChaosDynamics.survivalProbability - -def -survivalProbability - - - -Semantics.Extensions.PopulationChaosDynamics->Semantics.Extensions.PopulationChaosDynamics.survivalProbability - - -contains - - - -Semantics.Extensions.QuantumSyntheticBio - -module -QuantumSyntheticBio - - - -Semantics.Extensions.QuantumSyntheticBio.radicalPairRecombination - -def -radicalPairRecombination - - - -Semantics.Extensions.QuantumSyntheticBio->Semantics.Extensions.QuantumSyntheticBio.radicalPairRecombination - - -contains - - - -Semantics.Extensions.QuantumSyntheticBio.excitonCoupling - -def -excitonCoupling - - - -Semantics.Extensions.QuantumSyntheticBio->Semantics.Extensions.QuantumSyntheticBio.excitonCoupling - - -contains - - - -Semantics.Extensions.QuantumSyntheticBio.protonTunnelingRate - -def -protonTunnelingRate - - - -Semantics.Extensions.QuantumSyntheticBio->Semantics.Extensions.QuantumSyntheticBio.protonTunnelingRate - - -contains - - - -Semantics.Extensions.QuantumSyntheticBio.toggleStep - -def -toggleStep - - - -Semantics.Extensions.QuantumSyntheticBio->Semantics.Extensions.QuantumSyntheticBio.toggleStep - - -contains - - - -Semantics.Extensions.QuantumSyntheticBio.coherentFFL - -def -coherentFFL - - - -Semantics.Extensions.QuantumSyntheticBio->Semantics.Extensions.QuantumSyntheticBio.coherentFFL - - -contains - - - -Semantics.Extensions.ReliabilityStochasticDynamics - -module -ReliabilityStochasticDynamics - - - -Semantics.Extensions.ReliabilityStochasticDynamics.systemSurvivalProb - -def -systemSurvivalProb - - - -Semantics.Extensions.ReliabilityStochasticDynamics->Semantics.Extensions.ReliabilityStochasticDynamics.systemSurvivalProb - - -contains - - - -Semantics.Extensions.ReliabilityStochasticDynamics.reactionPropensity - -def -reactionPropensity - - - -Semantics.Extensions.ReliabilityStochasticDynamics->Semantics.Extensions.ReliabilityStochasticDynamics.reactionPropensity - - -contains - - - -Semantics.Extensions.ReliabilityStochasticDynamics.stochasticTimeStep - -def -stochasticTimeStep - - - -Semantics.Extensions.ReliabilityStochasticDynamics->Semantics.Extensions.ReliabilityStochasticDynamics.stochasticTimeStep - - -contains - - - -Semantics.Extensions.ReliabilityStochasticDynamics.masterEquationUpdate - -def -masterEquationUpdate - - - -Semantics.Extensions.ReliabilityStochasticDynamics->Semantics.Extensions.ReliabilityStochasticDynamics.masterEquationUpdate - - -contains - - - -Semantics.Extensions.ResilienceTippingDynamics - -module -ResilienceTippingDynamics - - - -Semantics.Extensions.ResilienceTippingDynamics.autocorrelationProxy - -def -autocorrelationProxy - - - -Semantics.Extensions.ResilienceTippingDynamics->Semantics.Extensions.ResilienceTippingDynamics.autocorrelationProxy - - -contains - - - -Semantics.Extensions.ResilienceTippingDynamics.varianceIncrease - -def -varianceIncrease - - - -Semantics.Extensions.ResilienceTippingDynamics->Semantics.Extensions.ResilienceTippingDynamics.varianceIncrease - - -contains - - - -Semantics.Extensions.ResilienceTippingDynamics.recoveryRate - -def -recoveryRate - - - -Semantics.Extensions.ResilienceTippingDynamics->Semantics.Extensions.ResilienceTippingDynamics.recoveryRate - - -contains - - - -Semantics.Extensions.ResilienceTippingDynamics.basinResistance - -def -basinResistance - - - -Semantics.Extensions.ResilienceTippingDynamics->Semantics.Extensions.ResilienceTippingDynamics.basinResistance - - -contains - - - -Semantics.Extensions.ResilienceTippingDynamics.basinLatitude - -def -basinLatitude - - - -Semantics.Extensions.ResilienceTippingDynamics->Semantics.Extensions.ResilienceTippingDynamics.basinLatitude - - -contains - - - -Semantics.Extensions.RhythmicStructuralDynamics - -module -RhythmicStructuralDynamics - - - -Semantics.Extensions.RhythmicStructuralDynamics.isLimitCycleCaptured - -def -isLimitCycleCaptured - - - -Semantics.Extensions.RhythmicStructuralDynamics->Semantics.Extensions.RhythmicStructuralDynamics.isLimitCycleCaptured - - -contains - - - -Semantics.Extensions.RhythmicStructuralDynamics.oscillatorAmplitude - -def -oscillatorAmplitude - - - -Semantics.Extensions.RhythmicStructuralDynamics->Semantics.Extensions.RhythmicStructuralDynamics.oscillatorAmplitude - - -contains - - - -Semantics.Extensions.RhythmicStructuralDynamics.selfAssemblyGibbs - -def -selfAssemblyGibbs - - - -Semantics.Extensions.RhythmicStructuralDynamics->Semantics.Extensions.RhythmicStructuralDynamics.selfAssemblyGibbs - - -contains - - - -Semantics.Extensions.RhythmicStructuralDynamics.isAssembled - -def -isAssembled - - - -Semantics.Extensions.RhythmicStructuralDynamics->Semantics.Extensions.RhythmicStructuralDynamics.isAssembled - - -contains - - - -Semantics.Extensions.RhythmicStructuralDynamics.tileAssemblyStrength - -def -tileAssemblyStrength - - - -Semantics.Extensions.RhythmicStructuralDynamics->Semantics.Extensions.RhythmicStructuralDynamics.tileAssemblyStrength - - -contains - - - -Semantics.Extensions.RootNutrientDynamics - -module -RootNutrientDynamics - - - -Semantics.Extensions.RootNutrientDynamics.nutrientDepletionStep - -def -nutrientDepletionStep - - - -Semantics.Extensions.RootNutrientDynamics->Semantics.Extensions.RootNutrientDynamics.nutrientDepletionStep - - -contains - - - -Semantics.Extensions.RootNutrientDynamics.rootSurfaceFlux - -def -rootSurfaceFlux - - - -Semantics.Extensions.RootNutrientDynamics->Semantics.Extensions.RootNutrientDynamics.rootSurfaceFlux - - -contains - - - -Semantics.Extensions.RootNutrientDynamics.rootComplexityMetric - -def -rootComplexityMetric - - - -Semantics.Extensions.RootNutrientDynamics->Semantics.Extensions.RootNutrientDynamics.rootComplexityMetric - - -contains - - - -Semantics.Extensions.SleepChronobiologyDynamics - -module -SleepChronobiologyDynamics - - - -Semantics.Extensions.SleepChronobiologyDynamics.sleepPressureStep - -def -sleepPressureStep - - - -Semantics.Extensions.SleepChronobiologyDynamics->Semantics.Extensions.SleepChronobiologyDynamics.sleepPressureStep - - -contains - - - -Semantics.Extensions.SleepChronobiologyDynamics.isSleepOnsetReached - -def -isSleepOnsetReached - - - -Semantics.Extensions.SleepChronobiologyDynamics->Semantics.Extensions.SleepChronobiologyDynamics.isSleepOnsetReached - - -contains - - - -Semantics.Extensions.SleepChronobiologyDynamics.freeRunningPeriod - -def -freeRunningPeriod - - - -Semantics.Extensions.SleepChronobiologyDynamics->Semantics.Extensions.SleepChronobiologyDynamics.freeRunningPeriod - - -contains - - - -Semantics.Extensions.SocialCognitiveDynamics - -module -SocialCognitiveDynamics - - - -Semantics.Extensions.SocialCognitiveDynamics.dunbarGroupSize - -def -dunbarGroupSize - - - -Semantics.Extensions.SocialCognitiveDynamics->Semantics.Extensions.SocialCognitiveDynamics.dunbarGroupSize - - -contains - - - -Semantics.Extensions.SocialCognitiveDynamics.socialMaintenanceTime - -def -socialMaintenanceTime - - - -Semantics.Extensions.SocialCognitiveDynamics->Semantics.Extensions.SocialCognitiveDynamics.socialMaintenanceTime - - -contains - - - -Semantics.Extensions.SocialCognitiveDynamics.bilateralRelationshipCount - -def -bilateralRelationshipCount - - - -Semantics.Extensions.SocialCognitiveDynamics->Semantics.Extensions.SocialCognitiveDynamics.bilateralRelationshipCount - - -contains - - - -Semantics.Extensions.SocialCognitiveDynamics.isSociallyStable - -def -isSociallyStable - - - -Semantics.Extensions.SocialCognitiveDynamics->Semantics.Extensions.SocialCognitiveDynamics.isSociallyStable - - -contains - - - -Semantics.Extensions.SocialCognitiveDynamics.brainScalingLog - -def -brainScalingLog - - - -Semantics.Extensions.SocialCognitiveDynamics->Semantics.Extensions.SocialCognitiveDynamics.brainScalingLog - - -contains - - - -Semantics.Extensions.SocialMotionVisionDynamics - -module -SocialMotionVisionDynamics - - - -Semantics.Extensions.SocialMotionVisionDynamics.reichardtMotionSignal - -def -reichardtMotionSignal - - - -Semantics.Extensions.SocialMotionVisionDynamics->Semantics.Extensions.SocialMotionVisionDynamics.reichardtMotionSignal - - -contains - - - -Semantics.Extensions.SocialMotionVisionDynamics.acoTransitionProb - -def -acoTransitionProb - - - -Semantics.Extensions.SocialMotionVisionDynamics->Semantics.Extensions.SocialMotionVisionDynamics.acoTransitionProb - - -contains - - - -Semantics.Extensions.SocialMotionVisionDynamics.pheromoneUpdate - -def -pheromoneUpdate - - - -Semantics.Extensions.SocialMotionVisionDynamics->Semantics.Extensions.SocialMotionVisionDynamics.pheromoneUpdate - - -contains - - - -Semantics.Extensions.SoftTissuePressureDynamics - -module -SoftTissuePressureDynamics - - - -Semantics.Extensions.SoftTissuePressureDynamics.fungSoftTissueStress - -def -fungSoftTissueStress - - - -Semantics.Extensions.SoftTissuePressureDynamics->Semantics.Extensions.SoftTissuePressureDynamics.fungSoftTissueStress - - -contains - - - -Semantics.Extensions.SoftTissuePressureDynamics.alveolarDistendingPressure - -def -alveolarDistendingPressure - - - -Semantics.Extensions.SoftTissuePressureDynamics->Semantics.Extensions.SoftTissuePressureDynamics.alveolarDistendingPressure - - -contains - - - -Semantics.Extensions.SoftTissuePressureDynamics.ventricularWallStress - -def -ventricularWallStress - - - -Semantics.Extensions.SoftTissuePressureDynamics->Semantics.Extensions.SoftTissuePressureDynamics.ventricularWallStress - - -contains - - - -Semantics.Extensions.SoilFungalDynamics - -module -SoilFungalDynamics - - - -Semantics.Extensions.SoilFungalDynamics.baseSaturationPct - -def -baseSaturationPct - - - -Semantics.Extensions.SoilFungalDynamics->Semantics.Extensions.SoilFungalDynamics.baseSaturationPct - - -contains - - - -Semantics.Extensions.SoilFungalDynamics.hyphalTipUpdate - -def -hyphalTipUpdate - - - -Semantics.Extensions.SoilFungalDynamics->Semantics.Extensions.SoilFungalDynamics.hyphalTipUpdate - - -contains - - - -Semantics.Extensions.SoilFungalDynamics.terracedBarrelGrowth - -def -terracedBarrelGrowth - - - -Semantics.Extensions.SoilFungalDynamics->Semantics.Extensions.SoilFungalDynamics.terracedBarrelGrowth - - -contains - - - -Semantics.Extensions.SolitonEngine - -module -SolitonEngine - - - -Semantics.Extensions.SolitonEngine.codim2_stability - -theorem -codim2_stability - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.codim2_stability - - -contains - - - -Semantics.Extensions.SolitonEngine.soliton_is_vortex - -theorem -soliton_is_vortex - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.soliton_is_vortex - - -contains - - - -Semantics.Extensions.SolitonEngine.error_decreases_with_amplitude - -theorem -error_decreases_with_amplitude - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.error_decreases_with_amplitude - - -contains - - - -Semantics.Extensions.SolitonEngine.lle_manley_rowe_conservation - -theorem -lle_manley_rowe_conservation - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.lle_manley_rowe_conservation - - -contains - - - -Semantics.Extensions.SolitonEngine.soliton_energy_linear_in_amplitude - -theorem -soliton_energy_linear_in_amplitude - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.soliton_energy_linear_in_amplitude - - -contains - - - -Semantics.Extensions.SolitonEngine.cat_qubit_more_protected - -theorem -cat_qubit_more_protected - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.cat_qubit_more_protected - - -contains - - - -Semantics.Extensions.SolitonEngine.defaultParams - -def -defaultParams - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.defaultParams - - -contains - - - -Semantics.Extensions.SolitonEngine.solitonAnsatz - -def -solitonAnsatz - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.solitonAnsatz - - -contains - - - -Semantics.Extensions.SolitonEngine.solitonEnergy - -def -solitonEnergy - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.solitonEnergy - - -contains - - - -Semantics.Extensions.SolitonEngine.bifurcationParameter - -def -bifurcationParameter - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.bifurcationParameter - - -contains - - - -Semantics.Extensions.SolitonEngine.CODIM2_CRITICAL - -def -CODIM2_CRITICAL - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.CODIM2_CRITICAL - - -contains - - - -Semantics.Extensions.SolitonEngine.atCodim2Bifurcation - -def -atCodim2Bifurcation - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.atCodim2Bifurcation - - -contains - - - -Semantics.Extensions.SolitonEngine.wardenPhaseUpdate - -def -wardenPhaseUpdate - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.wardenPhaseUpdate - - -contains - - - -Semantics.Extensions.SolitonEngine.solitonCoherence - -def -solitonCoherence - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.solitonCoherence - - -contains - - - -Semantics.Extensions.SolitonEngine.countPhaseSingularities - -def -countPhaseSingularities - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.countPhaseSingularities - - -contains - - - -Semantics.Extensions.SolitonEngine.bitFlipErrorRate - -def -bitFlipErrorRate - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.bitFlipErrorRate - - -contains - - - -Semantics.Extensions.SolitonEngine.criticalAmplitude - -def -criticalAmplitude - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.criticalAmplitude - - -contains - - - -Semantics.Extensions.SolitonEngine.criticalBitFlipRate - -def -criticalBitFlipRate - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.criticalBitFlipRate - - -contains - - - -Semantics.Extensions.SolitonEngine.catQubitFromSolitonCount - -def -catQubitFromSolitonCount - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.catQubitFromSolitonCount - - -contains - - - -Semantics.Extensions.SolitonEngine.catBitFlipRate - -def -catBitFlipRate - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.catBitFlipRate - - -contains - - - -Semantics.Extensions.SolitonEngine.solitonToTernary - -def -solitonToTernary - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.solitonToTernary - - -contains - - - -Semantics.Extensions.SolitonEngine.solitonSigma - -def -solitonSigma - - - -Semantics.Extensions.SolitonEngine->Semantics.Extensions.SolitonEngine.solitonSigma - - -contains - - - -Semantics.Extensions.StoichiometricMetabolicDynamics - -module -StoichiometricMetabolicDynamics - - - -Semantics.Extensions.StoichiometricMetabolicDynamics.homeostaticRatio - -def -homeostaticRatio - - - -Semantics.Extensions.StoichiometricMetabolicDynamics->Semantics.Extensions.StoichiometricMetabolicDynamics.homeostaticRatio - - -contains - - - -Semantics.Extensions.StoichiometricMetabolicDynamics.populationDensityScale - -def -populationDensityScale - - - -Semantics.Extensions.StoichiometricMetabolicDynamics->Semantics.Extensions.StoichiometricMetabolicDynamics.populationDensityScale - - -contains - - - -Semantics.Extensions.StoichiometricMetabolicDynamics.unifiedMetabolicRate - -def -unifiedMetabolicRate - - - -Semantics.Extensions.StoichiometricMetabolicDynamics->Semantics.Extensions.StoichiometricMetabolicDynamics.unifiedMetabolicRate - - -contains - - - -Semantics.Extensions.SystemicBioDynamics - -module -SystemicBioDynamics - - - -Semantics.Extensions.SystemicBioDynamics.clonalExpansionStep - -def -clonalExpansionStep - - - -Semantics.Extensions.SystemicBioDynamics->Semantics.Extensions.SystemicBioDynamics.clonalExpansionStep - - -contains - - - -Semantics.Extensions.SystemicBioDynamics.viralUpdate - -def -viralUpdate - - - -Semantics.Extensions.SystemicBioDynamics->Semantics.Extensions.SystemicBioDynamics.viralUpdate - - -contains - - - -Semantics.Extensions.SystemicBioDynamics.vanDerPolStep - -def -vanDerPolStep - - - -Semantics.Extensions.SystemicBioDynamics->Semantics.Extensions.SystemicBioDynamics.vanDerPolStep - - -contains - - - -Semantics.Extensions.SystemicBioDynamics.muscleVelocity - -def -muscleVelocity - - - -Semantics.Extensions.SystemicBioDynamics->Semantics.Extensions.SystemicBioDynamics.muscleVelocity - - -contains - - - -Semantics.Extensions.SystemicBioDynamics.lorenzStep - -def -lorenzStep - - - -Semantics.Extensions.SystemicBioDynamics->Semantics.Extensions.SystemicBioDynamics.lorenzStep - - -contains - - - -Semantics.Extensions.VisionColorDynamics - -module -VisionColorDynamics - - - -Semantics.Extensions.VisionColorDynamics.transformLMStoOpponent - -def -transformLMStoOpponent - - - -Semantics.Extensions.VisionColorDynamics->Semantics.Extensions.VisionColorDynamics.transformLMStoOpponent - - -contains - - - -Semantics.Extensions.VisionColorDynamics.retinexDesignator - -def -retinexDesignator - - - -Semantics.Extensions.VisionColorDynamics->Semantics.Extensions.VisionColorDynamics.retinexDesignator - - -contains - - - -Semantics.Extensions.VisionColorDynamics.inhibitedResponse - -def -inhibitedResponse - - - -Semantics.Extensions.VisionColorDynamics->Semantics.Extensions.VisionColorDynamics.inhibitedResponse - - -contains - - - -Semantics.Extensions.VisionColorDynamics.cielabMapping - -def -cielabMapping - - - -Semantics.Extensions.VisionColorDynamics->Semantics.Extensions.VisionColorDynamics.cielabMapping - - -contains - - - -Semantics.Extensions.VocalProductionLaws - -module -VocalProductionLaws - - - -Semantics.Extensions.VocalProductionLaws.glottalPressure - -def -glottalPressure - - - -Semantics.Extensions.VocalProductionLaws->Semantics.Extensions.VocalProductionLaws.glottalPressure - - -contains - - - -Semantics.Extensions.VocalProductionLaws.vocalOutputSpectrum - -def -vocalOutputSpectrum - - - -Semantics.Extensions.VocalProductionLaws->Semantics.Extensions.VocalProductionLaws.vocalOutputSpectrum - - -contains - - - -Semantics.Extensions.VocalProductionLaws.fundamentalFrequencyScale - -def -fundamentalFrequencyScale - - - -Semantics.Extensions.VocalProductionLaws->Semantics.Extensions.VocalProductionLaws.fundamentalFrequencyScale - - -contains - - - -Semantics.Extensions.VocalProductionLaws.vocalTractLengthScale - -def -vocalTractLengthScale - - - -Semantics.Extensions.VocalProductionLaws->Semantics.Extensions.VocalProductionLaws.vocalTractLengthScale - - -contains - - - -Semantics.ExternalConnectors - -module -ExternalConnectors - - - -Semantics.ExternalConnectors.adaptiveOperationSelector - -def -adaptiveOperationSelector - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.adaptiveOperationSelector - - -contains - - - -Semantics.ExternalConnectors.executeOperation - -def -executeOperation - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.executeOperation - - -contains - - - -Semantics.ExternalConnectors.aceQuery - -def -aceQuery - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.aceQuery - - -contains - - - -Semantics.ExternalConnectors.aceCreateNode - -def -aceCreateNode - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.aceCreateNode - - -contains - - - -Semantics.ExternalConnectors.airtableQuery - -def -airtableQuery - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.airtableQuery - - -contains - - - -Semantics.ExternalConnectors.airtableCreate - -def -airtableCreate - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.airtableCreate - - -contains - - - -Semantics.ExternalConnectors.consensusQuery - -def -consensusQuery - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.consensusQuery - - -contains - - - -Semantics.ExternalConnectors.githubGetRepo - -def -githubGetRepo - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.githubGetRepo - - -contains - - - -Semantics.ExternalConnectors.githubGetIssue - -def -githubGetIssue - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.githubGetIssue - - -contains - - - -Semantics.ExternalConnectors.githubSearch - -def -githubSearch - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.githubSearch - - -contains - - - -Semantics.ExternalConnectors.driveGetFile - -def -driveGetFile - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.driveGetFile - - -contains - - - -Semantics.ExternalConnectors.driveCreateFile - -def -driveCreateFile - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.driveCreateFile - - -contains - - - -Semantics.ExternalConnectors.notionGetPage - -def -notionGetPage - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.notionGetPage - - -contains - - - -Semantics.ExternalConnectors.notionCreatePage - -def -notionCreatePage - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.notionCreatePage - - -contains - - - -Semantics.ExternalConnectors.notionQueryDatabase - -def -notionQueryDatabase - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.notionQueryDatabase - - -contains - - - -Semantics.ExternalConnectors.spotifyGetTrack - -def -spotifyGetTrack - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.spotifyGetTrack - - -contains - - - -Semantics.ExternalConnectors.spotifySearch - -def -spotifySearch - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.spotifySearch - - -contains - - - -Semantics.ExternalConnectors.spotifyCreatePlaylist - -def -spotifyCreatePlaylist - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.spotifyCreatePlaylist - - -contains - - - -Semantics.ExternalConnectors.listConnectors - -def -listConnectors - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.listConnectors - - -contains - - - -Semantics.ExternalConnectors.maxOperationsForConnector - -def -maxOperationsForConnector - - - -Semantics.ExternalConnectors->Semantics.ExternalConnectors.maxOperationsForConnector - - -contains - - - -Semantics.ExternalConnectors->Semantics.FixedPoint - - -imports - - - -Semantics.F01_Q16_16_FixedPoint - -module -F01_Q16_16_FixedPoint - - - -Semantics.F01_Q16_16_FixedPoint.add_total - -theorem -add_total - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.add_total - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.mul_total - -theorem -mul_total - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.mul_total - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.div_total - -theorem -div_total - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.div_total - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.round_valid - -theorem -round_valid - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.round_valid - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.mul_no_overflow - -theorem -mul_no_overflow - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.mul_no_overflow - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.E_0_deterministic - -theorem -E_0_deterministic - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.E_0_deterministic - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.E_0_bounds - -theorem -E_0_bounds - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.E_0_bounds - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.mul_fromInt_one - -theorem -mul_fromInt_one - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.mul_fromInt_one - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.E_0_encode_eq_round - -theorem -E_0_encode_eq_round - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.E_0_encode_eq_round - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.Array_map_congr - -theorem -Array_map_congr - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.Array_map_congr - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.toInt_nonneg_imp_ge_zero - -theorem -toInt_nonneg_imp_ge_zero - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.toInt_nonneg_imp_ge_zero - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.raw_nonneg - -theorem -raw_nonneg - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.raw_nonneg - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.raw_bound - -theorem -raw_bound - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.raw_bound - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.bmod_self - -theorem -bmod_self - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.bmod_self - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.roundtrip - -theorem -roundtrip - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.roundtrip - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.round_int_idempotent - -theorem -round_int_idempotent - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.round_int_idempotent - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.half_div_scale - -theorem -half_div_scale - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.half_div_scale - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.round_nonneg_idempotent - -theorem -round_nonneg_idempotent - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.round_nonneg_idempotent - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.E_0_encode_nonneg - -theorem -E_0_encode_nonneg - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.E_0_encode_nonneg - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.E_0_encode_bound - -theorem -E_0_encode_bound - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.E_0_encode_bound - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.E_0_encode_idempotent - -theorem -E_0_encode_idempotent - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.E_0_encode_idempotent - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.N_0_nonneg - -theorem -N_0_nonneg - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.N_0_nonneg - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.N_0_bound - -theorem -N_0_bound - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.N_0_bound - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.stepExact_nonneg_bound - -theorem -stepExact_nonneg_bound - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.stepExact_nonneg_bound - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.eigensolid_stabilize - -theorem -eigensolid_stabilize - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.eigensolid_stabilize - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.receipt_invertible - -theorem -receipt_invertible - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.receipt_invertible - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.eigensolid_encode_decode - -theorem -eigensolid_encode_decode - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.eigensolid_encode_decode - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.Q16_16 - -def -Q16_16 - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.Q16_16 - - -contains - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.Q16_16 - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.fromInt - -def -fromInt - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.fromInt - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.ofFloat - -def -ofFloat - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.ofFloat - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.add - -def -add - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.add - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.sub - -def -sub - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.sub - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.mul - -def -mul - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.mul - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.div - -def -div - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.div - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.round - -def -round - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.round - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.floor - -def -floor - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.floor - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.abs - -def -abs - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.abs - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.N_0 - -def -N_0 - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.N_0 - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.E_0_encode - -def -E_0_encode - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.E_0_encode - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.TAU - -def -TAU - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.TAU - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.maxDiff - -def -maxDiff - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.maxDiff - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.isConverged - -def -isConverged - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.isConverged - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.stepExact - -def -stepExact - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.stepExact - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.iterate - -def -iterate - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.iterate - - -contains - - - -Semantics.F01_Q16_16_FixedPoint.eigensolidReceipt - -def -eigensolidReceipt - - - -Semantics.F01_Q16_16_FixedPoint->Semantics.F01_Q16_16_FixedPoint.eigensolidReceipt - - -contains - - - -Mathlib.Data.Int.Basic - -mathlib -Mathlib.Data.Int.Basic - - - -Semantics.F01_Q16_16_FixedPoint->Mathlib.Data.Int.Basic - - -imports - - - -Semantics.FAMM.defaultFAMMCell - -def -defaultFAMMCell - - - -Semantics.FAMM->Semantics.FAMM.defaultFAMMCell - - -contains - - - -Semantics.FAMM.mkFAMMBank - -def -mkFAMMBank - - - -Semantics.FAMM->Semantics.FAMM.mkFAMMBank - - -contains - - - -Semantics.FAMM.fammBind - -def -fammBind - - - -Semantics.FAMM->Semantics.FAMM.fammBind - - -contains - - - -Semantics.FAMM.fammRead - -def -fammRead - - - -Semantics.FAMM->Semantics.FAMM.fammRead - - -contains - - - -Semantics.FAMM.eigenmass - -def -eigenmass - - - -Semantics.FAMM->Semantics.FAMM.eigenmass - - -contains - - - -Semantics.FAMM.fammWrite - -def -fammWrite - - - -Semantics.FAMM->Semantics.FAMM.fammWrite - - -contains - - - -Semantics.FAMM.fammWriteEigenmass - -def -fammWriteEigenmass - - - -Semantics.FAMM->Semantics.FAMM.fammWriteEigenmass - - -contains - - - -Semantics.FAMM.fammAdjustDelay - -def -fammAdjustDelay - - - -Semantics.FAMM->Semantics.FAMM.fammAdjustDelay - - -contains - - - -Semantics.FAMM.fammPruneCell - -def -fammPruneCell - - - -Semantics.FAMM->Semantics.FAMM.fammPruneCell - - -contains - - - -Semantics.FAMM.fammThermalCheck - -def -fammThermalCheck - - - -Semantics.FAMM->Semantics.FAMM.fammThermalCheck - - -contains - - - -Semantics.FAMM.fammMetadataCollapse - -def -fammMetadataCollapse - - - -Semantics.FAMM->Semantics.FAMM.fammMetadataCollapse - - -contains - - - -Semantics.FAMM.fammUnifiedArchitectureStrategy - -def -fammUnifiedArchitectureStrategy - - - -Semantics.FAMM->Semantics.FAMM.fammUnifiedArchitectureStrategy - - -contains - - - -Semantics.FAMM->Semantics.FixedPoint - - -imports - - - -Semantics.FAMMCoChain - -module -FAMMCoChain - - - -Semantics.FAMMCoChain->Semantics.FAMM - - -imports - - - -Semantics.FAMMCoChain.accessEdgeToGraphEdge - -def -accessEdgeToGraphEdge - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.accessEdgeToGraphEdge - - -contains - - - -Semantics.FAMMCoChain.oneCoChainCost - -def -oneCoChainCost - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.oneCoChainCost - - -contains - - - -Semantics.FAMMCoChain.coboundary - -def -coboundary - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.coboundary - - -contains - - - -Semantics.FAMMCoChain.coboundaryNorm - -def -coboundaryNorm - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.coboundaryNorm - - -contains - - - -Semantics.FAMMCoChain.isExact - -def -isExact - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.isExact - - -contains - - - -Semantics.FAMMCoChain.coboundary2 - -def -coboundary2 - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.coboundary2 - - -contains - - - -Semantics.FAMMCoChain.thermalStress - -def -thermalStress - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.thermalStress - - -contains - - - -Semantics.FAMMCoChain.judgePauseTrigger - -def -judgePauseTrigger - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.judgePauseTrigger - - -contains - - - -Semantics.FAMMCoChain.isThermallyFlat - -def -isThermallyFlat - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.isThermallyFlat - - -contains - - - -Semantics.FAMMCoChain.linearAccessGraph - -def -linearAccessGraph - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.linearAccessGraph - - -contains - - - -Semantics.FAMMCoChain.testBank - -def -testBank - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.testBank - - -contains - - - -Semantics.FAMMCoChain.testEdges - -def -testEdges - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.testEdges - - -contains - - - -Semantics.FAMMCoChain.flatBank - -def -flatBank - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.flatBank - - -contains - - - -Semantics.FAMMCoChain.testZeroChain - -def -testZeroChain - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.testZeroChain - - -contains - - - -Semantics.FAMMCoChain.testOneChain - -def -testOneChain - - - -Semantics.FAMMCoChain->Semantics.FAMMCoChain.testOneChain - - -contains - - - -Semantics.FNWH.Burgers - -module -Burgers - - - -Semantics.FNWH.Burgers.witnessComplexity_nonneg - -theorem -witnessComplexity_nonneg - - - -Semantics.FNWH.Burgers->Semantics.FNWH.Burgers.witnessComplexity_nonneg - - -contains - - - -Semantics.FNWH.Burgers.complexityOmega_nonneg - -theorem -complexityOmega_nonneg - - - -Semantics.FNWH.Burgers->Semantics.FNWH.Burgers.complexityOmega_nonneg - - -contains - - - -Semantics.FNWH.Burgers.nu_eff_ge_nu0 - -theorem -nu_eff_ge_nu0 - - - -Semantics.FNWH.Burgers->Semantics.FNWH.Burgers.nu_eff_ge_nu0 - - -contains - - - -Semantics.FNWH.Burgers.kappa - -def -kappa - - - -Semantics.FNWH.Burgers->Semantics.FNWH.Burgers.kappa - - -contains - - - -Semantics.FNWH.Burgers.defaultNu0 - -def -defaultNu0 - - - -Semantics.FNWH.Burgers->Semantics.FNWH.Burgers.defaultNu0 - - -contains - - - -Semantics.FNWH.Burgers.witnessComplexityContribution - -def -witnessComplexityContribution - - - -Semantics.FNWH.Burgers->Semantics.FNWH.Burgers.witnessComplexityContribution - - -contains - - - -Semantics.FNWH.Burgers.complexityOmega - -def -complexityOmega - - - -Semantics.FNWH.Burgers->Semantics.FNWH.Burgers.complexityOmega - - -contains - - - -Semantics.FNWH.Burgers.effectiveViscosity - -def -effectiveViscosity - - - -Semantics.FNWH.Burgers->Semantics.FNWH.Burgers.effectiveViscosity - - -contains - - - -Semantics.FNWH.Burgers.regularizedPressure - -def -regularizedPressure - - - -Semantics.FNWH.Burgers->Semantics.FNWH.Burgers.regularizedPressure - - -contains - - - -Semantics.FNWH.Burgers.stiffeningMultiplier - -def -stiffeningMultiplier - - - -Semantics.FNWH.Burgers->Semantics.FNWH.Burgers.stiffeningMultiplier - - -contains - - - -Semantics.FNWH.Burgers.toyGrammar - -def -toyGrammar - - - -Semantics.FNWH.Burgers->Semantics.FNWH.Burgers.toyGrammar - - -contains - - - -Semantics.FNWH.BurgersAVM - -module -BurgersAVM - - - -Semantics.FNWH.BurgersAVM->Semantics.AVM - - -imports - - - -Semantics.FNWH.BurgersAVM.nuEffProgram_correct - -theorem -nuEffProgram_correct - - - -Semantics.FNWH.BurgersAVM->Semantics.FNWH.BurgersAVM.nuEffProgram_correct - - -contains - - - -Semantics.FNWH.BurgersAVM.qEffProgram_correct - -theorem -qEffProgram_correct - - - -Semantics.FNWH.BurgersAVM->Semantics.FNWH.BurgersAVM.qEffProgram_correct - - -contains - - - -Semantics.FNWH.BurgersAVM.kappa - -def -kappa - - - -Semantics.FNWH.BurgersAVM->Semantics.FNWH.BurgersAVM.kappa - - -contains - - - -Semantics.FNWH.BurgersAVM.nuEffProgram - -def -nuEffProgram - - - -Semantics.FNWH.BurgersAVM->Semantics.FNWH.BurgersAVM.nuEffProgram - - -contains - - - -Semantics.FNWH.BurgersAVM.qEffProgram - -def -qEffProgram - - - -Semantics.FNWH.BurgersAVM->Semantics.FNWH.BurgersAVM.qEffProgram - - -contains - - - -Semantics.FNWH.DimensionlessFluxClosure - -module -DimensionlessFluxClosure - - - -Semantics.FNWH.DimensionlessFluxClosure.phi_near_integer_closure - -theorem -phi_near_integer_closure - - - -Semantics.FNWH.DimensionlessFluxClosure->Semantics.FNWH.DimensionlessFluxClosure.phi_near_integer_closure - - -contains - - - -Semantics.FNWH.DimensionlessFluxClosure.phi_is_stable_and_positive - -theorem -phi_is_stable_and_positive - - - -Semantics.FNWH.DimensionlessFluxClosure->Semantics.FNWH.DimensionlessFluxClosure.phi_is_stable_and_positive - - -contains - - - -Semantics.FNWH.DimensionlessFluxClosure.fluxClosure - -def -fluxClosure - - - -Semantics.FNWH.DimensionlessFluxClosure->Semantics.FNWH.DimensionlessFluxClosure.fluxClosure - - -contains - - - -Semantics.FNWH.DimensionlessFluxClosure.archiveParams - -def -archiveParams - - - -Semantics.FNWH.DimensionlessFluxClosure->Semantics.FNWH.DimensionlessFluxClosure.archiveParams - - -contains - - - -Semantics.FNWH.DimensionlessFluxClosure.archivedPhi - -def -archivedPhi - - - -Semantics.FNWH.DimensionlessFluxClosure->Semantics.FNWH.DimensionlessFluxClosure.archivedPhi - - -contains - - - -Semantics.FNWH.GinzburgLandauAnalogy - -module -GinzburgLandauAnalogy - - - -Semantics.FNWH.GinzburgLandauAnalogy.analogy_is_stable_and_bounded - -theorem -analogy_is_stable_and_bounded - - - -Semantics.FNWH.GinzburgLandauAnalogy->Semantics.FNWH.GinzburgLandauAnalogy.analogy_is_stable_and_bounded - - -contains - - - -Semantics.FNWH.GinzburgLandauAnalogy.flux_closure_as_coherence_condition - -theorem -flux_closure_as_coherence_condition - - - -Semantics.FNWH.GinzburgLandauAnalogy->Semantics.FNWH.GinzburgLandauAnalogy.flux_closure_as_coherence_condition - - -contains - - - -Semantics.FNWH.GinzburgLandauAnalogy.classifyGLPhase - -def -classifyGLPhase - - - -Semantics.FNWH.GinzburgLandauAnalogy->Semantics.FNWH.GinzburgLandauAnalogy.classifyGLPhase - - -contains - - - -Semantics.FNWH.GinzburgLandauAnalogy.analogyParams - -def -analogyParams - - - -Semantics.FNWH.GinzburgLandauAnalogy->Semantics.FNWH.GinzburgLandauAnalogy.analogyParams - - -contains - - - -Semantics.FNWH.GinzburgLandauAnalogy.analogyPhase - -def -analogyPhase - - - -Semantics.FNWH.GinzburgLandauAnalogy->Semantics.FNWH.GinzburgLandauAnalogy.analogyPhase - - -contains - - - -Semantics.FNWH.GinzburgLandauAnalogy.fluxClosureCoherenceAnalogy - -def -fluxClosureCoherenceAnalogy - - - -Semantics.FNWH.GinzburgLandauAnalogy->Semantics.FNWH.GinzburgLandauAnalogy.fluxClosureCoherenceAnalogy - - -contains - - - -Semantics.FaultTolerance - -module -FaultTolerance - - - -Semantics.FaultTolerance.markNodeFailedSetsFailedState - -theorem -markNodeFailedSetsFailedState - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.markNodeFailedSetsFailedState - - -contains - - - -Semantics.FaultTolerance.calculateBackoffIsExponential - -theorem -calculateBackoffIsExponential - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.calculateBackoffIsExponential - - -contains - - - -Semantics.FaultTolerance.excludeFailedNodeRemovesVotes - -theorem -excludeFailedNodeRemovesVotes - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.excludeFailedNodeRemovesVotes - - -contains - - - -Semantics.FaultTolerance.handleByzantineFaultRemovesVotes - -theorem -handleByzantineFaultRemovesVotes - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.handleByzantineFaultRemovesVotes - - -contains - - - -Semantics.FaultTolerance.hasByzantineToleranceRequiresMajority - -theorem -hasByzantineToleranceRequiresMajority - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.hasByzantineToleranceRequiresMajority - - -contains - - - -Semantics.FaultTolerance.zero - -def -zero - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.zero - - -contains - - - -Semantics.FaultTolerance.one - -def -one - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.one - - -contains - - - -Semantics.FaultTolerance.ofFrac - -def -ofFrac - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.ofFrac - - -contains - - - -Semantics.FaultTolerance.detectNodeFailure - -def -detectNodeFailure - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.detectNodeFailure - - -contains - - - -Semantics.FaultTolerance.markNodeFailed - -def -markNodeFailed - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.markNodeFailed - - -contains - - - -Semantics.FaultTolerance.excludeFailedNode - -def -excludeFailedNode - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.excludeFailedNode - - -contains - - - -Semantics.FaultTolerance.calculateBackoff - -def -calculateBackoff - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.calculateBackoff - - -contains - - - -Semantics.FaultTolerance.retransmitMessage - -def -retransmitMessage - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.retransmitMessage - - -contains - - - -Semantics.FaultTolerance.detectByzantineFault - -def -detectByzantineFault - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.detectByzantineFault - - -contains - - - -Semantics.FaultTolerance.handleByzantineFault - -def -handleByzantineFault - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.handleByzantineFault - - -contains - - - -Semantics.FaultTolerance.hasByzantineTolerance - -def -hasByzantineTolerance - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.hasByzantineTolerance - - -contains - - - -Semantics.FaultTolerance.handleNetworkPartition - -def -handleNetworkPartition - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.handleNetworkPartition - - -contains - - - -Semantics.FaultTolerance.updateNodeHealth - -def -updateNodeHealth - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.updateNodeHealth - - -contains - - - -Semantics.FaultTolerance.initializeNodeHealth - -def -initializeNodeHealth - - - -Semantics.FaultTolerance->Semantics.FaultTolerance.initializeNodeHealth - - -contains - - - -Semantics.FibonacciEncoding - -module -FibonacciEncoding - - - -Semantics.FibonacciEncoding.validSingletonFibRep - -theorem -validSingletonFibRep - - - -Semantics.FibonacciEncoding->Semantics.FibonacciEncoding.validSingletonFibRep - - -contains - - - -Semantics.FibonacciEncoding.singletonFibRepValue - -theorem -singletonFibRepValue - - - -Semantics.FibonacciEncoding->Semantics.FibonacciEncoding.singletonFibRepValue - - -contains - - - -Semantics.FibonacciEncoding.encodeDeltaZero - -theorem -encodeDeltaZero - - - -Semantics.FibonacciEncoding->Semantics.FibonacciEncoding.encodeDeltaZero - - -contains - - - -Semantics.FibonacciEncoding.decodeEncodeSmallDelta - -theorem -decodeEncodeSmallDelta - - - -Semantics.FibonacciEncoding->Semantics.FibonacciEncoding.decodeEncodeSmallDelta - - -contains - - - -Semantics.FibonacciEncoding.fib - -def -fib - - - -Semantics.FibonacciEncoding->Semantics.FibonacciEncoding.fib - - -contains - - - -Semantics.FibonacciEncoding.noConsecutive - -def -noConsecutive - - - -Semantics.FibonacciEncoding->Semantics.FibonacciEncoding.noConsecutive - - -contains - - - -Semantics.FibonacciEncoding.isValidZeckendorf - -def -isValidZeckendorf - - - -Semantics.FibonacciEncoding->Semantics.FibonacciEncoding.isValidZeckendorf - - -contains - - - -Semantics.FibonacciEncoding.zeckendorfToNat - -def -zeckendorfToNat - - - -Semantics.FibonacciEncoding->Semantics.FibonacciEncoding.zeckendorfToNat - - -contains - - - -Semantics.FibonacciEncoding.bitLength - -def -bitLength - - - -Semantics.FibonacciEncoding->Semantics.FibonacciEncoding.bitLength - - -contains - - - -Semantics.FibonacciEncoding.fibonacciCodeLength - -def -fibonacciCodeLength - - - -Semantics.FibonacciEncoding->Semantics.FibonacciEncoding.fibonacciCodeLength - - -contains - - - -Semantics.FibonacciEncoding.encodeDeltaFibonacci - -def -encodeDeltaFibonacci - - - -Semantics.FibonacciEncoding->Semantics.FibonacciEncoding.encodeDeltaFibonacci - - -contains - - - -Semantics.FibonacciEncoding.decodeDeltaFibonacci - -def -decodeDeltaFibonacci - - - -Semantics.FibonacciEncoding->Semantics.FibonacciEncoding.decodeDeltaFibonacci - - -contains - - - -Semantics.FibonacciEncoding.theoreticalCompressionRatio - -def -theoreticalCompressionRatio - - - -Semantics.FibonacciEncoding->Semantics.FibonacciEncoding.theoreticalCompressionRatio - - -contains - - - -Semantics.FieldDamping - -module -FieldDamping - - - -Semantics.FieldDamping.computeVelocityDampingZeroWhenVelocityZero - -theorem -computeVelocityDampingZeroWhenVelocityZe - - - -Semantics.FieldDamping->Semantics.FieldDamping.computeVelocityDampingZeroWhenVelocityZero - - -contains - - - -Semantics.FieldDamping.computeAccelerationDampingZeroWhenAccelerationZero - -theorem -computeAccelerationDampingZeroWhenAccele - - - -Semantics.FieldDamping->Semantics.FieldDamping.computeAccelerationDampingZeroWhenAccelerationZero - - -contains - - - -Semantics.FieldDamping.applyDampingPreservesFieldValue - -theorem -applyDampingPreservesFieldValue - - - -Semantics.FieldDamping->Semantics.FieldDamping.applyDampingPreservesFieldValue - - -contains - - - -Semantics.FieldDamping.checkStabilityConditionTrueForZeroField - -theorem -checkStabilityConditionTrueForZeroField - - - -Semantics.FieldDamping->Semantics.FieldDamping.checkStabilityConditionTrueForZeroField - - -contains - - - -Semantics.FieldDamping.initializeDampingParametersHasPositiveCoefficient - -theorem -initializeDampingParametersHasPositiveCo - - - -Semantics.FieldDamping->Semantics.FieldDamping.initializeDampingParametersHasPositiveCoefficient - - -contains - - - -Semantics.FieldDamping.computeVelocityDamping - -def -computeVelocityDamping - - - -Semantics.FieldDamping->Semantics.FieldDamping.computeVelocityDamping - - -contains - - - -Semantics.FieldDamping.computeAccelerationDamping - -def -computeAccelerationDamping - - - -Semantics.FieldDamping->Semantics.FieldDamping.computeAccelerationDamping - - -contains - - - -Semantics.FieldDamping.applyDamping - -def -applyDamping - - - -Semantics.FieldDamping->Semantics.FieldDamping.applyDamping - - -contains - - - -Semantics.FieldDamping.checkStabilityCondition - -def -checkStabilityCondition - - - -Semantics.FieldDamping->Semantics.FieldDamping.checkStabilityCondition - - -contains - - - -Semantics.FieldDamping.initializeDampingParameters - -def -initializeDampingParameters - - - -Semantics.FieldDamping->Semantics.FieldDamping.initializeDampingParameters - - -contains - - - -Semantics.FieldDamping.adaptiveDampingCoefficient - -def -adaptiveDampingCoefficient - - - -Semantics.FieldDamping->Semantics.FieldDamping.adaptiveDampingCoefficient - - -contains - - - -Semantics.FieldEquationIntegration - -module -FieldEquationIntegration - - - -Semantics.FieldEquationIntegration.UnifiedState - -def -UnifiedState - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.UnifiedState - - -contains - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.UnifiedState - - -contains - - - -Semantics.FieldEquationIntegration.SigmaSelector - -def -SigmaSelector - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.SigmaSelector - - -contains - - - -Semantics.FieldEquationIntegration.PentagonalSquare - -def -PentagonalSquare - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.PentagonalSquare - - -contains - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.PentagonalSquare - - -contains - - - -Semantics.FieldEquationIntegration.MorphicCore - -def -MorphicCore - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.MorphicCore - - -contains - - - -Semantics.FieldEquationIntegration.morphicCoreInvariant - -def -morphicCoreInvariant - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.morphicCoreInvariant - - -contains - - - -Semantics.FieldEquationIntegration.mmrHash - -def -mmrHash - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.mmrHash - - -contains - - - -Semantics.FieldEquationIntegration.createMMRNode - -def -createMMRNode - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.createMMRNode - - -contains - - - -Semantics.FieldEquationIntegration.MMRMountain - -def -MMRMountain - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.MMRMountain - - -contains - - - -Semantics.FieldEquationIntegration.SelfFeedingMMR - -def -SelfFeedingMMR - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.SelfFeedingMMR - - -contains - - - -Semantics.FieldEquationIntegration.NearMissPoint - -def -NearMissPoint - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.NearMissPoint - - -contains - - - -Semantics.FieldEquationIntegration.averageError - -def -averageError - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.averageError - - -contains - - - -Semantics.FieldEquationIntegration.TensionFunction - -def -TensionFunction - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.TensionFunction - - -contains - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.TensionFunction - - -contains - - - -Semantics.FieldEquationIntegration.collapseValue - -def -collapseValue - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.collapseValue - - -contains - - - -Semantics.FieldEquationIntegration.getNthDefault - -def -getNthDefault - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.getNthDefault - - -contains - - - -Semantics.FieldEquationIntegration.WebSystem - -def -WebSystem - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.WebSystem - - -contains - - - -Semantics.FieldEquationIntegration.IntegratedFieldCell - -def -IntegratedFieldCell - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.IntegratedFieldCell - - -contains - - - -Semantics.FieldEquationIntegration.autoMappingRegistry - -def -autoMappingRegistry - - - -Semantics.FieldEquationIntegration->Semantics.FieldEquationIntegration.autoMappingRegistry - - -contains - - - -Semantics.FieldSolver - -module -FieldSolver - - - -Semantics.FieldSolver.computeLaplacian - -def -computeLaplacian - - - -Semantics.FieldSolver->Semantics.FieldSolver.computeLaplacian - - -contains - - - -Semantics.FieldSolver.engramQuery - -def -engramQuery - - - -Semantics.FieldSolver->Semantics.FieldSolver.engramQuery - - -contains - - - -Semantics.FieldSolver.stabilityPenalty - -def -stabilityPenalty - - - -Semantics.FieldSolver->Semantics.FieldSolver.stabilityPenalty - - -contains - - - -Semantics.FieldSolver.fieldInvariant - -def -fieldInvariant - - - -Semantics.FieldSolver->Semantics.FieldSolver.fieldInvariant - - -contains - - - -Semantics.FieldSolver.informationalCost - -def -informationalCost - - - -Semantics.FieldSolver->Semantics.FieldSolver.informationalCost - - -contains - - - -Semantics.FieldSolver.informationalBindEval - -def -informationalBindEval - - - -Semantics.FieldSolver->Semantics.FieldSolver.informationalBindEval - - -contains - - - -Semantics.FiveDTorusTopology - -module -FiveDTorusTopology - - - -Semantics.FiveDTorusTopology.torusDistanceSymmetricTest - -theorem -torusDistanceSymmetricTest - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.torusDistanceSymmetricTest - - -contains - - - -Semantics.FiveDTorusTopology.torusDiameterFormulaTest - -theorem -torusDiameterFormulaTest - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.torusDiameterFormulaTest - - -contains - - - -Semantics.FiveDTorusTopology.torusNodeDegreeConstant - -theorem -torusNodeDegreeConstant - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.torusNodeDegreeConstant - - -contains - - - -Semantics.FiveDTorusTopology.torusDistance - -def -torusDistance - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.torusDistance - - -contains - - - -Semantics.FiveDTorusTopology.torusDiameter - -def -torusDiameter - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.torusDiameter - - -contains - - - -Semantics.FiveDTorusTopology.bisectionBandwidth - -def -bisectionBandwidth - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.bisectionBandwidth - - -contains - - - -Semantics.FiveDTorusTopology.totalConnectivity - -def -totalConnectivity - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.totalConnectivity - - -contains - - - -Semantics.FiveDTorusTopology.getNeighbors - -def -getNeighbors - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.getNeighbors - - -contains - - - -Semantics.FiveDTorusTopology.nodeDegree - -def -nodeDegree - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.nodeDegree - - -contains - - - -Semantics.FiveDTorusTopology.isTorusActionLawful - -def -isTorusActionLawful - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.isTorusActionLawful - - -contains - - - -Semantics.FiveDTorusTopology.applyTorusAction - -def -applyTorusAction - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.applyTorusAction - - -contains - - - -Semantics.FiveDTorusTopology.torusBind - -def -torusBind - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.torusBind - - -contains - - - -Semantics.FiveDTorusTopology.node1 - -def -node1 - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.node1 - - -contains - - - -Semantics.FiveDTorusTopology.node2 - -def -node2 - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.node2 - - -contains - - - -Semantics.FiveDTorusTopology.state - -def -state - - - -Semantics.FiveDTorusTopology->Semantics.FiveDTorusTopology.state - - -contains - - - -Semantics.FiveDTorusTopology->Semantics.FixedPoint - - -imports - - - -Semantics.FixedPoint.ext - -theorem -ext - - - -Semantics.FixedPoint->Semantics.FixedPoint.ext - - -contains - - - -Semantics.FixedPoint->Semantics.FixedPoint.ext - - -contains - - - -Semantics.FixedPoint.q16Clamp_monotone - -theorem -q16Clamp_monotone - - - -Semantics.FixedPoint->Semantics.FixedPoint.q16Clamp_monotone - - -contains - - - -Semantics.FixedPoint.q16Clamp_id_of_inRange - -theorem -q16Clamp_id_of_inRange - - - -Semantics.FixedPoint->Semantics.FixedPoint.q16Clamp_id_of_inRange - - -contains - - - -Semantics.FixedPoint.q16Clamp_lower - -theorem -q16Clamp_lower - - - -Semantics.FixedPoint->Semantics.FixedPoint.q16Clamp_lower - - -contains - - - -Semantics.FixedPoint.q16Clamp_upper - -theorem -q16Clamp_upper - - - -Semantics.FixedPoint->Semantics.FixedPoint.q16Clamp_upper - - -contains - - - -Semantics.FixedPoint.q16Clamp_nonneg_of_nonneg - -theorem -q16Clamp_nonneg_of_nonneg - - - -Semantics.FixedPoint->Semantics.FixedPoint.q16Clamp_nonneg_of_nonneg - - -contains - - - -Semantics.FixedPoint.q16Clamp_idem - -theorem -q16Clamp_idem - - - -Semantics.FixedPoint->Semantics.FixedPoint.q16Clamp_idem - - -contains - - - -Semantics.FixedPoint.q16Clamp_lipschitz - -theorem -q16Clamp_lipschitz - - - -Semantics.FixedPoint->Semantics.FixedPoint.q16Clamp_lipschitz - - -contains - - - -Semantics.FixedPoint.epsilon_toInt_pos - -theorem -epsilon_toInt_pos - - - -Semantics.FixedPoint->Semantics.FixedPoint.epsilon_toInt_pos - - -contains - - - -Semantics.FixedPoint.maxVal_toInt - -theorem -maxVal_toInt - - - -Semantics.FixedPoint->Semantics.FixedPoint.maxVal_toInt - - -contains - - - -Semantics.FixedPoint.minVal_toInt - -theorem -minVal_toInt - - - -Semantics.FixedPoint->Semantics.FixedPoint.minVal_toInt - - -contains - - - -Semantics.FixedPoint.ofRawInt_zero - -theorem -ofRawInt_zero - - - -Semantics.FixedPoint->Semantics.FixedPoint.ofRawInt_zero - - -contains - - - -Semantics.FixedPoint.ofRawInt_toInt_ge - -theorem -ofRawInt_toInt_ge - - - -Semantics.FixedPoint->Semantics.FixedPoint.ofRawInt_toInt_ge - - -contains - - - -Semantics.FixedPoint.ofRawInt_toInt_nonneg - -theorem -ofRawInt_toInt_nonneg - - - -Semantics.FixedPoint->Semantics.FixedPoint.ofRawInt_toInt_nonneg - - -contains - - - -Semantics.FixedPoint.ofRawInt_toInt - -theorem -ofRawInt_toInt - - - -Semantics.FixedPoint->Semantics.FixedPoint.ofRawInt_toInt - - -contains - - - -Semantics.FixedPoint.ofRawInt_toInt_eq_nonneg - -theorem -ofRawInt_toInt_eq_nonneg - - - -Semantics.FixedPoint->Semantics.FixedPoint.ofRawInt_toInt_eq_nonneg - - -contains - - - -Semantics.FixedPoint.ofRawInt_toInt_eq_general - -theorem -ofRawInt_toInt_eq_general - - - -Semantics.FixedPoint->Semantics.FixedPoint.ofRawInt_toInt_eq_general - - -contains - - - -Semantics.FixedPoint.ofRawInt_toInt_eq_clamp - -theorem -ofRawInt_toInt_eq_clamp - - - -Semantics.FixedPoint->Semantics.FixedPoint.ofRawInt_toInt_eq_clamp - - -contains - - - -Semantics.FixedPoint.ofRawInt_monotone - -theorem -ofRawInt_monotone - - - -Semantics.FixedPoint->Semantics.FixedPoint.ofRawInt_monotone - - -contains - - - -Semantics.FixedPoint.add_nonneg_monotone - -theorem -add_nonneg_monotone - - - -Semantics.FixedPoint->Semantics.FixedPoint.add_nonneg_monotone - - -contains - - - -Semantics.FixedPoint.zero_mul - -theorem -zero_mul - - - -Semantics.FixedPoint->Semantics.FixedPoint.zero_mul - - -contains - - - -Semantics.FixedPoint.mul_zero - -theorem -mul_zero - - - -Semantics.FixedPoint->Semantics.FixedPoint.mul_zero - - -contains - - - -Semantics.FixedPoint.sub_self - -theorem -sub_self - - - -Semantics.FixedPoint->Semantics.FixedPoint.sub_self - - -contains - - - -Semantics.FixedPoint.add_zero - -theorem -add_zero - - - -Semantics.FixedPoint->Semantics.FixedPoint.add_zero - - -contains - - - -Semantics.FixedPoint.zero_add - -theorem -zero_add - - - -Semantics.FixedPoint->Semantics.FixedPoint.zero_add - - -contains - - - -Semantics.FixedPoint.sqrt_zero - -theorem -sqrt_zero - - - -Semantics.FixedPoint->Semantics.FixedPoint.sqrt_zero - - -contains - - - -Semantics.FixedPoint.sqrt_one - -theorem -sqrt_one - - - -Semantics.FixedPoint->Semantics.FixedPoint.sqrt_one - - -contains - - - -Semantics.FixedPoint.int_scale_mul_ediv_cancel - -theorem -int_scale_mul_ediv_cancel - - - -Semantics.FixedPoint->Semantics.FixedPoint.int_scale_mul_ediv_cancel - - -contains - - - -Semantics.FixedPoint.one_mul - -theorem -one_mul - - - -Semantics.FixedPoint->Semantics.FixedPoint.one_mul - - -contains - - - -Semantics.FixedPoint.q0_16MinRaw - -def -q0_16MinRaw - - - -Semantics.FixedPoint->Semantics.FixedPoint.q0_16MinRaw - - -contains - - - -Semantics.FixedPoint.q0_16MaxRaw - -def -q0_16MaxRaw - - - -Semantics.FixedPoint->Semantics.FixedPoint.q0_16MaxRaw - - -contains - - - -Semantics.FixedPoint.q0_16Scale - -def -q0_16Scale - - - -Semantics.FixedPoint->Semantics.FixedPoint.q0_16Scale - - -contains - - - -Semantics.FixedPoint.toInt - -def -toInt - - - -Semantics.FixedPoint->Semantics.FixedPoint.toInt - - -contains - - - -Semantics.FixedPoint.ofRawInt - -def -ofRawInt - - - -Semantics.FixedPoint->Semantics.FixedPoint.ofRawInt - - -contains - - - -Semantics.FixedPoint.zero - -def -zero - - - -Semantics.FixedPoint->Semantics.FixedPoint.zero - - -contains - - - -Semantics.FixedPoint.one - -def -one - - - -Semantics.FixedPoint->Semantics.FixedPoint.one - - -contains - - - -Semantics.FixedPoint.half - -def -half - - - -Semantics.FixedPoint->Semantics.FixedPoint.half - - -contains - - - -Semantics.FixedPoint.neg - -def -neg - - - -Semantics.FixedPoint->Semantics.FixedPoint.neg - - -contains - - - -Semantics.FixedPoint.add - -def -add - - - -Semantics.FixedPoint->Semantics.FixedPoint.add - - -contains - - - -Semantics.FixedPoint.sub - -def -sub - - - -Semantics.FixedPoint->Semantics.FixedPoint.sub - - -contains - - - -Semantics.FixedPoint.mul - -def -mul - - - -Semantics.FixedPoint->Semantics.FixedPoint.mul - - -contains - - - -Semantics.FixedPoint.div - -def -div - - - -Semantics.FixedPoint->Semantics.FixedPoint.div - - -contains - - - -Semantics.FixedPoint.abs - -def -abs - - - -Semantics.FixedPoint->Semantics.FixedPoint.abs - - -contains - - - -Semantics.FixedPoint.lt - -def -lt - - - -Semantics.FixedPoint->Semantics.FixedPoint.lt - - -contains - - - -Semantics.FixedPoint.le - -def -le - - - -Semantics.FixedPoint->Semantics.FixedPoint.le - - -contains - - - -Semantics.FixedPoint.gt - -def -gt - - - -Semantics.FixedPoint->Semantics.FixedPoint.gt - - -contains - - - -Semantics.FixedPoint.ge - -def -ge - - - -Semantics.FixedPoint->Semantics.FixedPoint.ge - - -contains - - - -Semantics.FixedPoint.toFloat - -def -toFloat - - - -Semantics.FixedPoint->Semantics.FixedPoint.toFloat - - -contains - - - -Semantics.FixedPoint.ofFloat - -def -ofFloat - - - -Semantics.FixedPoint->Semantics.FixedPoint.ofFloat - - -contains - - - -Semantics.FixedPointBoundary - -module -FixedPointBoundary - - - -Semantics.FixedPointBoundary->Semantics.FixedPoint - - -imports - - - -Semantics.FixedPointBoundary.toFloat - -def -toFloat - - - -Semantics.FixedPointBoundary->Semantics.FixedPointBoundary.toFloat - - -contains - - - -Semantics.FixedPointBoundary->Semantics.FixedPointBoundary.toFloat - - -contains - - - -Semantics.FixedPointBoundary->Semantics.FixedPointBoundary.toFloat - - -contains - - - -Semantics.FixedPointBoundary.ofFloat - -def -ofFloat - - - -Semantics.FixedPointBoundary->Semantics.FixedPointBoundary.ofFloat - - -contains - - - -Semantics.FixedPointBoundary->Semantics.FixedPointBoundary.ofFloat - - -contains - - - -Semantics.FixedPointBoundary->Semantics.FixedPointBoundary.ofFloat - - -contains - - - -Semantics.FixedPointBoundary.q0_64ScaleFloat - -def -q0_64ScaleFloat - - - -Semantics.FixedPointBoundary->Semantics.FixedPointBoundary.q0_64ScaleFloat - - -contains - - - -Semantics.FixedPointBridge - -module -FixedPointBridge - - - -Semantics.FixedPointBridge.roundTripQ0_zero - -theorem -roundTripQ0_zero - - - -Semantics.FixedPointBridge->Semantics.FixedPointBridge.roundTripQ0_zero - - -contains - - - -Semantics.FixedPointBridge.roundTripQ16_zero - -theorem -roundTripQ16_zero - - - -Semantics.FixedPointBridge->Semantics.FixedPointBridge.roundTripQ16_zero - - -contains - - - -Semantics.FixedPointBridge.q0ToQ16_zero - -theorem -q0ToQ16_zero - - - -Semantics.FixedPointBridge->Semantics.FixedPointBridge.q0ToQ16_zero - - -contains - - - -Semantics.FixedPointBridge.q16ToQ0_zero - -theorem -q16ToQ0_zero - - - -Semantics.FixedPointBridge->Semantics.FixedPointBridge.q16ToQ0_zero - - -contains - - - -Semantics.FixedPointBridge.q0ToQ16 - -def -q0ToQ16 - - - -Semantics.FixedPointBridge->Semantics.FixedPointBridge.q0ToQ16 - - -contains - - - -Semantics.FixedPointBridge.q16ToQ0 - -def -q16ToQ0 - - - -Semantics.FixedPointBridge->Semantics.FixedPointBridge.q16ToQ0 - - -contains - - - -Semantics.FixedPointBridge.fixedPointBridgeStatus - -def -fixedPointBridgeStatus - - - -Semantics.FixedPointBridge->Semantics.FixedPointBridge.fixedPointBridgeStatus - - -contains - - - -Semantics.FlagSort - -module -FlagSort - - - -Semantics.FlagSort->Semantics.FixedPoint - - -imports - - - -Semantics.FlagSort.redThreshold - -def -redThreshold - - - -Semantics.FlagSort->Semantics.FlagSort.redThreshold - - -contains - - - -Semantics.FlagSort.blueThreshold - -def -blueThreshold - - - -Semantics.FlagSort->Semantics.FlagSort.blueThreshold - - -contains - - - -Semantics.FlagSort.getFlag - -def -getFlag - - - -Semantics.FlagSort->Semantics.FlagSort.getFlag - - -contains - - - -Semantics.FlagSort.isLawfulSort - -def -isLawfulSort - - - -Semantics.FlagSort->Semantics.FlagSort.isLawfulSort - - -contains - - - -Semantics.FlagSort.flagBind - -def -flagBind - - - -Semantics.FlagSort->Semantics.FlagSort.flagBind - - -contains - - - -Semantics.ForceModifiedArrhenius - -module -ForceModifiedArrhenius - - - -Semantics.ForceModifiedArrhenius.computeRate - -def -computeRate - - - -Semantics.ForceModifiedArrhenius->Semantics.ForceModifiedArrhenius.computeRate - - -contains - - - -Semantics.ForceModifiedArrhenius.chemicalBarrier - -def -chemicalBarrier - - - -Semantics.ForceModifiedArrhenius->Semantics.ForceModifiedArrhenius.chemicalBarrier - - -contains - - - -Semantics.ForceModifiedArrhenius.gamowFactor - -def -gamowFactor - - - -Semantics.ForceModifiedArrhenius->Semantics.ForceModifiedArrhenius.gamowFactor - - -contains - - - -Semantics.ForceModifiedArrhenius.nuclearBarrier - -def -nuclearBarrier - - - -Semantics.ForceModifiedArrhenius->Semantics.ForceModifiedArrhenius.nuclearBarrier - - -contains - - - -Semantics.ForceModifiedArrhenius.boltzmannFactor - -def -boltzmannFactor - - - -Semantics.ForceModifiedArrhenius->Semantics.ForceModifiedArrhenius.boltzmannFactor - - -contains - - - -Semantics.ForceModifiedArrhenius.particleBarrier - -def -particleBarrier - - - -Semantics.ForceModifiedArrhenius->Semantics.ForceModifiedArrhenius.particleBarrier - - -contains - - - -Semantics.ForceModifiedArrhenius.instantonAction - -def -instantonAction - - - -Semantics.ForceModifiedArrhenius->Semantics.ForceModifiedArrhenius.instantonAction - - -contains - - - -Semantics.ForceModifiedArrhenius.cosmicBarrier - -def -cosmicBarrier - - - -Semantics.ForceModifiedArrhenius->Semantics.ForceModifiedArrhenius.cosmicBarrier - - -contains - - - -Semantics.ForceModifiedArrhenius.forceModifiedBarrier - -def -forceModifiedBarrier - - - -Semantics.ForceModifiedArrhenius->Semantics.ForceModifiedArrhenius.forceModifiedBarrier - - -contains - - - -Semantics.ForceModifiedArrhenius.computeDrift - -def -computeDrift - - - -Semantics.ForceModifiedArrhenius->Semantics.ForceModifiedArrhenius.computeDrift - - -contains - - - -Semantics.ForceModifiedArrhenius.testChem - -def -testChem - - - -Semantics.ForceModifiedArrhenius->Semantics.ForceModifiedArrhenius.testChem - - -contains - - - -Semantics.ForceModifiedArrhenius.testNuc - -def -testNuc - - - -Semantics.ForceModifiedArrhenius->Semantics.ForceModifiedArrhenius.testNuc - - -contains - - - -Semantics.ForceModifiedArrhenius.testDrift - -def -testDrift - - - -Semantics.ForceModifiedArrhenius->Semantics.ForceModifiedArrhenius.testDrift - - -contains - - - -Semantics.ForestAutodocRegistry - -module -ForestAutodocRegistry - - - -Semantics.ForestAutodocRegistry.sameMorphicCore - -def -sameMorphicCore - - - -Semantics.ForestAutodocRegistry->Semantics.ForestAutodocRegistry.sameMorphicCore - - -contains - - - -Semantics.ForestAutodocRegistry.similarMorphicCore - -def -similarMorphicCore - - - -Semantics.ForestAutodocRegistry->Semantics.ForestAutodocRegistry.similarMorphicCore - - -contains - - - -Semantics.ForestAutodocRegistry.ForestRegistry - -def -ForestRegistry - - - -Semantics.ForestAutodocRegistry->Semantics.ForestAutodocRegistry.ForestRegistry - - -contains - - - -Semantics.ForestAutodocRegistry->Semantics.ForestAutodocRegistry.ForestRegistry - - -contains - - - -Semantics.ForestAutodocRegistry->Semantics.ForestAutodocRegistry.ForestRegistry - - -contains - - - -Semantics.ForestAutodocRegistry->Semantics.ForestAutodocRegistry.ForestRegistry - - -contains - - - -Semantics.ForestAutodocRegistry.applyCollapse - -def -applyCollapse - - - -Semantics.ForestAutodocRegistry->Semantics.ForestAutodocRegistry.applyCollapse - - -contains - - - -Semantics.ForestAutodocRegistry.autodocPressureIntegrated - -def -autodocPressureIntegrated - - - -Semantics.ForestAutodocRegistry->Semantics.ForestAutodocRegistry.autodocPressureIntegrated - - -contains - - - -Semantics.ForestAutodocRegistry.lookupIntegratedConcept - -def -lookupIntegratedConcept - - - -Semantics.ForestAutodocRegistry->Semantics.ForestAutodocRegistry.lookupIntegratedConcept - - -contains - - - -Semantics.Forgejo - -module -Forgejo - - - -Semantics.Forgejo.forgejoPolicy - -def -forgejoPolicy - - - -Semantics.Forgejo->Semantics.Forgejo.forgejoPolicy - - -contains - - - -Semantics.Forgejo.toSourceEvent - -def -toSourceEvent - - - -Semantics.Forgejo->Semantics.Forgejo.toSourceEvent - - -contains - - - -Semantics.Forgejo.forgejoInvariant - -def -forgejoInvariant - - - -Semantics.Forgejo->Semantics.Forgejo.forgejoInvariant - - -contains - - - -Semantics.Forgejo.forgejoCost - -def -forgejoCost - - - -Semantics.Forgejo->Semantics.Forgejo.forgejoCost - - -contains - - - -Semantics.Forgejo.forgejoBind - -def -forgejoBind - - - -Semantics.Forgejo->Semantics.Forgejo.forgejoBind - - -contains - - - -Semantics.ProvenanceSource - -module -ProvenanceSource - - - -Semantics.Forgejo->Semantics.ProvenanceSource - - -imports - - - -Semantics.FormalConjectures.Util.ProblemImports - -module -ProblemImports - - - -Semantics.FormalConjectures.Util.ProblemImports->Mathlib - - -imports - - - -Semantics.FormalConjectures.Util.ProblemImports.IsSidon - -theorem -IsSidon - - - -Semantics.FormalConjectures.Util.ProblemImports->Semantics.FormalConjectures.Util.ProblemImports.IsSidon - - -contains - - - -Semantics.FormalConjectures.Util.ProblemImports->Semantics.FormalConjectures.Util.ProblemImports.IsSidon - - -contains - - - -Semantics.Foundations.AggregateLoad - -module -AggregateLoad - - - -Semantics.Foundations.AggregateLoad->Semantics.FixedPoint - - -imports - - - -Semantics.Foundations.AggregateLoad.aggregateLoad - -def -aggregateLoad - - - -Semantics.Foundations.AggregateLoad->Semantics.Foundations.AggregateLoad.aggregateLoad - - -contains - - - -Semantics.Foundations.AggregateLoad.peakLoad - -def -peakLoad - - - -Semantics.Foundations.AggregateLoad->Semantics.Foundations.AggregateLoad.peakLoad - - -contains - - - -Semantics.Foundations.AggregateLoad.loadImbalance - -def -loadImbalance - - - -Semantics.Foundations.AggregateLoad->Semantics.Foundations.AggregateLoad.loadImbalance - - -contains - - - -Semantics.Foundations.AggregateLoad.uniformEntries - -def -uniformEntries - - - -Semantics.Foundations.AggregateLoad->Semantics.Foundations.AggregateLoad.uniformEntries - - -contains - - - -Semantics.Foundations.AggregateLoad.weightedEntries - -def -weightedEntries - - - -Semantics.Foundations.AggregateLoad->Semantics.Foundations.AggregateLoad.weightedEntries - - -contains - - - -Semantics.Foundations.AggregateLoad.skewedEntries - -def -skewedEntries - - - -Semantics.Foundations.AggregateLoad->Semantics.Foundations.AggregateLoad.skewedEntries - - -contains - - - -Semantics.Foundations.CarnotEfficiency - -module -CarnotEfficiency - - - -Semantics.Foundations.CarnotEfficiency->Semantics.FixedPoint - - -imports - - - -Semantics.Foundations.CarnotEfficiency.carnotEfficiency - -def -carnotEfficiency - - - -Semantics.Foundations.CarnotEfficiency->Semantics.Foundations.CarnotEfficiency.carnotEfficiency - - -contains - - - -Semantics.Foundations.EnergyBalance - -module -EnergyBalance - - - -Semantics.Foundations.EnergyBalance->Semantics.FixedPoint - - -imports - - - -Semantics.Foundations.EnergyBalance.energyBalance - -def -energyBalance - - - -Semantics.Foundations.EnergyBalance->Semantics.Foundations.EnergyBalance.energyBalance - - -contains - - - -Semantics.Foundations.GeodesicConnection - -module -GeodesicConnection - - - -Semantics.Foundations.GeodesicConnection->Semantics.FixedPoint - - -imports - - - -Semantics.Foundations.GeodesicConnection.Metric2D - -def -Metric2D - - - -Semantics.Foundations.GeodesicConnection->Semantics.Foundations.GeodesicConnection.Metric2D - - -contains - - - -Semantics.Foundations.GeodesicConnection.christoffelApprox - -def -christoffelApprox - - - -Semantics.Foundations.GeodesicConnection->Semantics.Foundations.GeodesicConnection.christoffelApprox - - -contains - - - -Semantics.Foundations.GeodesicConnection.geodesicAccel1D - -def -geodesicAccel1D - - - -Semantics.Foundations.GeodesicConnection->Semantics.Foundations.GeodesicConnection.geodesicAccel1D - - -contains - - - -Semantics.Foundations.GeodesicConnection.geodesicStep - -def -geodesicStep - - - -Semantics.Foundations.GeodesicConnection->Semantics.Foundations.GeodesicConnection.geodesicStep - - -contains - - - -Semantics.Foundations.HierarchicalEntropy - -module -HierarchicalEntropy - - - -Semantics.Foundations.HierarchicalEntropy->Semantics.FixedPoint - - -imports - - - -Semantics.Foundations.HierarchicalEntropy.hierarchicalEntropy - -def -hierarchicalEntropy - - - -Semantics.Foundations.HierarchicalEntropy->Semantics.Foundations.HierarchicalEntropy.hierarchicalEntropy - - -contains - - - -Semantics.Foundations.InformationContent - -module -InformationContent - - - -Semantics.Foundations.InformationContent->Semantics.FixedPoint - - -imports - - - -Semantics.Foundations.InformationContent.informationContent - -def -informationContent - - - -Semantics.Foundations.InformationContent->Semantics.Foundations.InformationContent.informationContent - - -contains - - - -Semantics.Foundations.InformationContent.rareEvent - -def -rareEvent - - - -Semantics.Foundations.InformationContent->Semantics.Foundations.InformationContent.rareEvent - - -contains - - - -Semantics.Foundations.IntrinsicRatio - -module -IntrinsicRatio - - - -Semantics.Foundations.IntrinsicRatio->Semantics.FixedPoint - - -imports - - - -Semantics.Foundations.IntrinsicRatio.phi - -def -phi - - - -Semantics.Foundations.IntrinsicRatio->Semantics.Foundations.IntrinsicRatio.phi - - -contains - - - -Semantics.Foundations.IntrinsicRatio.phiInv - -def -phiInv - - - -Semantics.Foundations.IntrinsicRatio->Semantics.Foundations.IntrinsicRatio.phiInv - - -contains - - - -Semantics.Foundations.IntrinsicRatio.intrinsicRatio - -def -intrinsicRatio - - - -Semantics.Foundations.IntrinsicRatio->Semantics.Foundations.IntrinsicRatio.intrinsicRatio - - -contains - - - -Semantics.Foundations.IntrinsicRatio.goldenDeviation - -def -goldenDeviation - - - -Semantics.Foundations.IntrinsicRatio->Semantics.Foundations.IntrinsicRatio.goldenDeviation - - -contains - - - -Semantics.Foundations.IntrinsicRatio.isGoldenRatio - -def -isGoldenRatio - - - -Semantics.Foundations.IntrinsicRatio->Semantics.Foundations.IntrinsicRatio.isGoldenRatio - - -contains - - - -Semantics.Foundations.LandauerBound - -module -LandauerBound - - - -Semantics.Foundations.LandauerBound->Semantics.FixedPoint - - -imports - - - -Semantics.Foundations.LandauerBound.landauerBound - -def -landauerBound - - - -Semantics.Foundations.LandauerBound->Semantics.Foundations.LandauerBound.landauerBound - - -contains - - - -Semantics.Foundations.MaxwellDemon - -module -MaxwellDemon - - - -Semantics.Foundations.MaxwellDemon->Semantics.FixedPoint - - -imports - - - -Semantics.Foundations.MaxwellDemon.maxwellDemonRecovery - -def -maxwellDemonRecovery - - - -Semantics.Foundations.MaxwellDemon->Semantics.Foundations.MaxwellDemon.maxwellDemonRecovery - - -contains - - - -Semantics.Foundations.RiemannianDistance - -module -RiemannianDistance - - - -Semantics.Foundations.RiemannianDistance->Semantics.FixedPoint - - -imports - - - -Semantics.Foundations.RiemannianDistance.squaredDistance - -def -squaredDistance - - - -Semantics.Foundations.RiemannianDistance->Semantics.Foundations.RiemannianDistance.squaredDistance - - -contains - - - -Semantics.Foundations.RiemannianDistance.riemannianDistance - -def -riemannianDistance - - - -Semantics.Foundations.RiemannianDistance->Semantics.Foundations.RiemannianDistance.riemannianDistance - - -contains - - - -Semantics.Foundations.RiemannianDistance.riemannianDistanceWeighted - -def -riemannianDistanceWeighted - - - -Semantics.Foundations.RiemannianDistance->Semantics.Foundations.RiemannianDistance.riemannianDistanceWeighted - - -contains - - - -Semantics.Foundations.ShannonEntropy - -module -ShannonEntropy - - - -Semantics.Foundations.ShannonEntropy->Semantics.FixedPoint - - -imports - - - -Semantics.Foundations.ShannonEntropy.shannonEntropy - -def -shannonEntropy - - - -Semantics.Foundations.ShannonEntropy->Semantics.Foundations.ShannonEntropy.shannonEntropy - - -contains - - - -Semantics.Foundations.ShannonEntropy.fairCoin - -def -fairCoin - - - -Semantics.Foundations.ShannonEntropy->Semantics.Foundations.ShannonEntropy.fairCoin - - -contains - - - -Semantics.Foundations.ShannonEntropy.certainEvent - -def -certainEvent - - - -Semantics.Foundations.ShannonEntropy->Semantics.Foundations.ShannonEntropy.certainEvent - - -contains - - - -Semantics.Foundations.SymplecticGeodesicStep - -module -SymplecticGeodesicStep - - - -Semantics.Foundations.SymplecticGeodesicStep->Semantics.FixedPoint - - -imports - - - -Semantics.Foundations.SymplecticGeodesicStep.symplecticStep - -def -symplecticStep - - - -Semantics.Foundations.SymplecticGeodesicStep->Semantics.Foundations.SymplecticGeodesicStep.symplecticStep - - -contains - - - -Semantics.Foundations.SymplecticGeodesicStep.symplecticIntegrate - -def -symplecticIntegrate - - - -Semantics.Foundations.SymplecticGeodesicStep->Semantics.Foundations.SymplecticGeodesicStep.symplecticIntegrate - - -contains - - - -Semantics.Foundations.SymplecticGeodesicStep.harmonicGradV - -def -harmonicGradV - - - -Semantics.Foundations.SymplecticGeodesicStep->Semantics.Foundations.SymplecticGeodesicStep.harmonicGradV - - -contains - - - -Semantics.Foundations.SymplecticGeodesicStep.harmonicInit - -def -harmonicInit - - - -Semantics.Foundations.SymplecticGeodesicStep->Semantics.Foundations.SymplecticGeodesicStep.harmonicInit - - -contains - - - -Semantics.FractionScan - -module -FractionScan - - - -Semantics.FractionScan.for - -theorem -for - - - -Semantics.FractionScan->Semantics.FractionScan.for - - -contains - - - -Semantics.FractionScan.f_13_50_exactMott - -theorem -f_13_50_exactMott - - - -Semantics.FractionScan->Semantics.FractionScan.f_13_50_exactMott - - -contains - - - -Semantics.FractionScan.f_7_27_mottDistance - -theorem -f_7_27_mottDistance - - - -Semantics.FractionScan->Semantics.FractionScan.f_7_27_mottDistance - - -contains - - - -Semantics.FractionScan.f_13_50_mottDistance - -theorem -f_13_50_mottDistance - - - -Semantics.FractionScan->Semantics.FractionScan.f_13_50_mottDistance - - -contains - - - -Semantics.FractionScan.f_6_23_mottDistance - -theorem -f_6_23_mottDistance - - - -Semantics.FractionScan->Semantics.FractionScan.f_6_23_mottDistance - - -contains - - - -Semantics.FractionScan.f_7_27_closer_than_6_23 - -theorem -f_7_27_closer_than_6_23 - - - -Semantics.FractionScan->Semantics.FractionScan.f_7_27_closer_than_6_23 - - -contains - - - -Semantics.FractionScan.f_8_31_mottDistance - -theorem -f_8_31_mottDistance - - - -Semantics.FractionScan->Semantics.FractionScan.f_8_31_mottDistance - - -contains - - - -Semantics.FractionScan.f_9_35_mottDistance - -theorem -f_9_35_mottDistance - - - -Semantics.FractionScan->Semantics.FractionScan.f_9_35_mottDistance - - -contains - - - -Semantics.FractionScan.f_5_19_mottDistance - -theorem -f_5_19_mottDistance - - - -Semantics.FractionScan->Semantics.FractionScan.f_5_19_mottDistance - - -contains - - - -Semantics.FractionScan.speciesArea_exact - -theorem -speciesArea_exact - - - -Semantics.FractionScan->Semantics.FractionScan.speciesArea_exact - - -contains - - - -Semantics.FractionScan.f_7_27_speciesAreaDistance - -theorem -f_7_27_speciesAreaDistance - - - -Semantics.FractionScan->Semantics.FractionScan.f_7_27_speciesAreaDistance - - -contains - - - -Semantics.FractionScan.f_13_50_speciesAreaDistance - -theorem -f_13_50_speciesAreaDistance - - - -Semantics.FractionScan->Semantics.FractionScan.f_13_50_speciesAreaDistance - - -contains - - - -Semantics.FractionScan.f_7_27_closer_to_speciesArea_than_13_50 - -theorem -f_7_27_closer_to_speciesArea_than_13_50 - - - -Semantics.FractionScan->Semantics.FractionScan.f_7_27_closer_to_speciesArea_than_13_50 - - -contains - - - -Semantics.FractionScan.f_7_27_compromiseScore - -theorem -f_7_27_compromiseScore - - - -Semantics.FractionScan->Semantics.FractionScan.f_7_27_compromiseScore - - -contains - - - -Semantics.FractionScan.f_13_50_compromiseScore - -theorem -f_13_50_compromiseScore - - - -Semantics.FractionScan->Semantics.FractionScan.f_13_50_compromiseScore - - -contains - - - -Semantics.FractionScan.f_8_31_compromiseScore - -theorem -f_8_31_compromiseScore - - - -Semantics.FractionScan->Semantics.FractionScan.f_8_31_compromiseScore - - -contains - - - -Semantics.FractionScan.threeFractionsTied - -theorem -threeFractionsTied - - - -Semantics.FractionScan->Semantics.FractionScan.threeFractionsTied - - -contains - - - -Semantics.FractionScan.mottCriterion - -def -mottCriterion - - - -Semantics.FractionScan->Semantics.FractionScan.mottCriterion - - -contains - - - -Semantics.FractionScan.zMenger - -def -zMenger - - - -Semantics.FractionScan->Semantics.FractionScan.zMenger - - -contains - - - -Semantics.FractionScan.speciesArea - -def -speciesArea - - - -Semantics.FractionScan->Semantics.FractionScan.speciesArea - - -contains - - - -Semantics.FractionScan.f_13_50 - -def -f_13_50 - - - -Semantics.FractionScan->Semantics.FractionScan.f_13_50 - - -contains - - - -Semantics.FractionScan.f_6_23 - -def -f_6_23 - - - -Semantics.FractionScan->Semantics.FractionScan.f_6_23 - - -contains - - - -Semantics.FractionScan.f_5_19 - -def -f_5_19 - - - -Semantics.FractionScan->Semantics.FractionScan.f_5_19 - - -contains - - - -Semantics.FractionScan.f_7_27 - -def -f_7_27 - - - -Semantics.FractionScan->Semantics.FractionScan.f_7_27 - - -contains - - - -Semantics.FractionScan.f_9_35 - -def -f_9_35 - - - -Semantics.FractionScan->Semantics.FractionScan.f_9_35 - - -contains - - - -Semantics.FractionScan.f_8_31 - -def -f_8_31 - - - -Semantics.FractionScan->Semantics.FractionScan.f_8_31 - - -contains - - - -Semantics.FractionScan.mottDistance - -def -mottDistance - - - -Semantics.FractionScan->Semantics.FractionScan.mottDistance - - -contains - - - -Semantics.FractionScan.speciesAreaDistance - -def -speciesAreaDistance - - - -Semantics.FractionScan->Semantics.FractionScan.speciesAreaDistance - - -contains - - - -Semantics.FractionScan.compromiseScore - -def -compromiseScore - - - -Semantics.FractionScan->Semantics.FractionScan.compromiseScore - - -contains - - - -Semantics.FractionScan.lookElsewhereFactor - -def -lookElsewhereFactor - - - -Semantics.FractionScan->Semantics.FractionScan.lookElsewhereFactor - - -contains - - - -Semantics.FractionScan.lookElsewhereCorrectedSignificance - -def -lookElsewhereCorrectedSignificance - - - -Semantics.FractionScan->Semantics.FractionScan.lookElsewhereCorrectedSignificance - - -contains - - - -Semantics.Functions.BracketedCalculus - -module -BracketedCalculus - - - -Semantics.Functions.BracketedCalculus.encode - -def -encode - - - -Semantics.Functions.BracketedCalculus->Semantics.Functions.BracketedCalculus.encode - - -contains - - - -Semantics.Functions.BracketedCalculus.width - -def -width - - - -Semantics.Functions.BracketedCalculus->Semantics.Functions.BracketedCalculus.width - - -contains - - - -Semantics.Functions.BracketedCalculus.checkGapConservation - -def -checkGapConservation - - - -Semantics.Functions.BracketedCalculus->Semantics.Functions.BracketedCalculus.checkGapConservation - - -contains - - - -Semantics.Functions.BracketedCalculus.isInterior - -def -isInterior - - - -Semantics.Functions.BracketedCalculus->Semantics.Functions.BracketedCalculus.isInterior - - -contains - - - -Semantics.Functions.BracketedCalculus.bracketAdd - -def -bracketAdd - - - -Semantics.Functions.BracketedCalculus->Semantics.Functions.BracketedCalculus.bracketAdd - - -contains - - - -Semantics.Functions.BracketedCalculus.bracketMulConservative - -def -bracketMulConservative - - - -Semantics.Functions.BracketedCalculus->Semantics.Functions.BracketedCalculus.bracketMulConservative - - -contains - - - -Semantics.Functions.BracketedCalculus.bracketNeg - -def -bracketNeg - - - -Semantics.Functions.BracketedCalculus->Semantics.Functions.BracketedCalculus.bracketNeg - - -contains - - - -Semantics.Functions.BracketedCalculus.taylorWithinTolerance - -def -taylorWithinTolerance - - - -Semantics.Functions.BracketedCalculus->Semantics.Functions.BracketedCalculus.taylorWithinTolerance - - -contains - - - -Semantics.Functions.BracketedCalculus.derivativeEstimate - -def -derivativeEstimate - - - -Semantics.Functions.BracketedCalculus->Semantics.Functions.BracketedCalculus.derivativeEstimate - - -contains - - - -Semantics.Functions.BracketedCalculus.secondDerivativeEstimate - -def -secondDerivativeEstimate - - - -Semantics.Functions.BracketedCalculus->Semantics.Functions.BracketedCalculus.secondDerivativeEstimate - - -contains - - - -Semantics.Functions.BracketedCalculus.adaptiveRefine - -def -adaptiveRefine - - - -Semantics.Functions.BracketedCalculus->Semantics.Functions.BracketedCalculus.adaptiveRefine - - -contains - - - -Semantics.Functions.MathDebate - -module -MathDebate - - - -Semantics.Functions.MathDebate->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.Functions.MathDebate.zero - -def -zero - - - -Semantics.Functions.MathDebate->Semantics.Functions.MathDebate.zero - - -contains - - - -Semantics.Functions.MathDebate.one - -def -one - - - -Semantics.Functions.MathDebate->Semantics.Functions.MathDebate.one - - -contains - - - -Semantics.Functions.MathDebate.ofNat - -def -ofNat - - - -Semantics.Functions.MathDebate->Semantics.Functions.MathDebate.ofNat - - -contains - - - -Semantics.Functions.MathDebate.toNat - -def -toNat - - - -Semantics.Functions.MathDebate->Semantics.Functions.MathDebate.toNat - - -contains - - - -Semantics.Functions.MathDebate.ofFrac - -def -ofFrac - - - -Semantics.Functions.MathDebate->Semantics.Functions.MathDebate.ofFrac - - -contains - - - -Semantics.Functions.MathDebate.runSampleDebate - -def -runSampleDebate - - - -Semantics.Functions.MathDebate->Semantics.Functions.MathDebate.runSampleDebate - - -contains - - - -Semantics.Functions.MathQuery - -module -MathQuery - - - -Semantics.Functions.MathQuery.exactSubjectZeroCost - -theorem -exactSubjectZeroCost - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.exactSubjectZeroCost - - -contains - - - -Semantics.Functions.MathQuery.toIdx - -def -toIdx - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.toIdx - - -contains - - - -Semantics.Functions.MathQuery.label - -def -label - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.label - - -contains - - - -Semantics.Functions.MathQuery.ofUInt32 - -def -ofUInt32 - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.ofUInt32 - - -contains - - - -Semantics.Functions.MathQuery.defaultQueryParams - -def -defaultQueryParams - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.defaultQueryParams - - -contains - - - -Semantics.Functions.MathQuery.q16_one - -def -q16_one - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.q16_one - - -contains - - - -Semantics.Functions.MathQuery.subjectCost - -def -subjectCost - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.subjectCost - - -contains - - - -Semantics.Functions.MathQuery.yearCost - -def -yearCost - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.yearCost - - -contains - - - -Semantics.Functions.MathQuery.complexityCost - -def -complexityCost - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.complexityCost - - -contains - - - -Semantics.Functions.MathQuery.queryCost - -def -queryCost - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.queryCost - - -contains - - - -Semantics.Functions.MathQuery.emptyDatabase - -def -emptyDatabase - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.emptyDatabase - - -contains - - - -Semantics.Functions.MathQuery.insertEntity - -def -insertEntity - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.insertEntity - - -contains - - - -Semantics.Functions.MathQuery.queryDatabase - -def -queryDatabase - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.queryDatabase - - -contains - - - -Semantics.Functions.MathQuery.toQueryResult - -def -toQueryResult - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.toQueryResult - - -contains - - - -Semantics.Functions.MathQuery.testEntity1 - -def -testEntity1 - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.testEntity1 - - -contains - - - -Semantics.Functions.MathQuery.testEntity2 - -def -testEntity2 - - - -Semantics.Functions.MathQuery->Semantics.Functions.MathQuery.testEntity2 - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib - -module -WSM_WR_EGS_WC_Mathlib - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.H_selfadjoint - -theorem -H_selfadjoint - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.H_selfadjoint - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.observables_hermitian - -theorem -observables_hermitian - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.observables_hermitian - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.state_normalized - -theorem -state_normalized - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.state_normalized - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.expect_real_of_selfadjoint - -theorem -expect_real_of_selfadjoint - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.expect_real_of_selfadjoint - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.closed_energy_conservation - -theorem -closed_energy_conservation - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.closed_energy_conservation - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.open_energy_nontrivial_possible - -theorem -open_energy_nontrivial_possible - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.open_energy_nontrivial_possible - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.coarse_noninjective - -theorem -coarse_noninjective - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.coarse_noninjective - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.signal_ext - -theorem -signal_ext - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.signal_ext - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.StotalClosed_def - -theorem -StotalClosed_def - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.StotalClosed_def - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.StotalOpen_def - -theorem -StotalOpen_def - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.StotalOpen_def - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.canonical_pipeline_closed - -theorem -canonical_pipeline_closed - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.canonical_pipeline_closed - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.canonical_pipeline_open - -theorem -canonical_pipeline_open - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.canonical_pipeline_open - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.dEclosed_zero - -theorem -dEclosed_zero - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.dEclosed_zero - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.ΔEplus_zero_of_closed - -theorem -ΔEplus_zero_of_closed - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.ΔEplus_zero_of_closed - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.ΔEminus_zero_of_closed - -theorem -ΔEminus_zero_of_closed - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.ΔEminus_zero_of_closed - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.GEclosed_reduces_when_temporal_zero - -theorem -GEclosed_reduces_when_temporal_zero - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.GEclosed_reduces_when_temporal_zero - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.feature_equiv_implies_probe_equiv - -theorem -feature_equiv_implies_probe_equiv - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.feature_equiv_implies_probe_equiv - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.probe_equiv_implies_coarse_equiv - -theorem -probe_equiv_implies_coarse_equiv - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.probe_equiv_implies_coarse_equiv - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.feature_equiv_implies_coarse_equiv - -theorem -feature_equiv_implies_coarse_equiv - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.feature_equiv_implies_coarse_equiv - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.coarse_graining_not_injective - -theorem -coarse_graining_not_injective - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.coarse_graining_not_injective - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.StotalClosed_pointwise - -theorem -StotalClosed_pointwise - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.StotalClosed_pointwise - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.StotalOpen_pointwise - -theorem -StotalOpen_pointwise - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.StotalOpen_pointwise - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.open_branch_can_have_nontrivial_energy_channel - -theorem -open_branch_can_have_nontrivial_energy_c - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.open_branch_can_have_nontrivial_energy_channel - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.full_pipeline_is_composition_closed - -theorem -full_pipeline_is_composition_closed - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.full_pipeline_is_composition_closed - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.full_pipeline_is_composition_open - -theorem -full_pipeline_is_composition_open - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.full_pipeline_is_composition_open - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.NormedAddCommGroupΨ - -def -NormedAddCommGroupΨ - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.NormedAddCommGroupΨ - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.InnerProductSpaceΨ - -def -InnerProductSpaceΨ - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.InnerProductSpaceΨ - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.CompleteSpaceΨ - -def -CompleteSpaceΨ - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.CompleteSpaceΨ - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.η - -def -η - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.η - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.H - -def -H - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.H - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.O - -def -O - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.O - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.w - -def -w - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.w - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.ΓSE - -def -ΓSE - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.ΓSE - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.F - -def -F - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.F - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.W - -def -W - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.W - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.C - -def -C - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.C - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.ψ - -def -ψ - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.ψ - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.ρ - -def -ρ - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.ρ - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.Normalized - -def -Normalized - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.Normalized - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.SelfAdjointOp - -def -SelfAdjointOp - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.SelfAdjointOp - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.HermitianObservable - -def -HermitianObservable - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.HermitianObservable - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.expect - -def -expect - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.expect - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.expectρ - -def -expectρ - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.expectρ - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.ddt - -def -ddt - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.ddt - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib.spatialGradNorm - -def -spatialGradNorm - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib->Semantics.Functions.WSM_WR_EGS_WC_Mathlib.spatialGradNorm - - -contains - - - -Semantics.Functions.WSM_WR_EGS_WC_Mathlib_temp - -module -WSM_WR_EGS_WC_Mathlib_temp - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation - -module -WavefunctionSuperpositionMetacomputation - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation.normalizationPreservation - -theorem -normalizationPreservation - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation->Semantics.Functions.WavefunctionSuperpositionMetacomputation.normalizationPreservation - - -contains - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation.wavefunctionNorm - -def -wavefunctionNorm - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation->Semantics.Functions.WavefunctionSuperpositionMetacomputation.wavefunctionNorm - - -contains - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation.isWavefunctionNormalized - -def -isWavefunctionNormalized - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation->Semantics.Functions.WavefunctionSuperpositionMetacomputation.isWavefunctionNormalized - - -contains - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation.applyQuantumOperation - -def -applyQuantumOperation - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation->Semantics.Functions.WavefunctionSuperpositionMetacomputation.applyQuantumOperation - - -contains - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation.wavefunctionInvariant - -def -wavefunctionInvariant - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation->Semantics.Functions.WavefunctionSuperpositionMetacomputation.wavefunctionInvariant - - -contains - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation.quantumOperationCost - -def -quantumOperationCost - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation->Semantics.Functions.WavefunctionSuperpositionMetacomputation.quantumOperationCost - - -contains - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation.wavefunctionMetacomputationCost - -def -wavefunctionMetacomputationCost - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation->Semantics.Functions.WavefunctionSuperpositionMetacomputation.wavefunctionMetacomputationCost - - -contains - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation.wavefunctionMetacomputationBind - -def -wavefunctionMetacomputationBind - - - -Semantics.Functions.WavefunctionSuperpositionMetacomputation->Semantics.Functions.WavefunctionSuperpositionMetacomputation.wavefunctionMetacomputationBind - - -contains - - - -Semantics.FuzzyAssociation - -module -FuzzyAssociation - - - -Semantics.FuzzyAssociation->Semantics.FixedPoint - - -imports - - - -Semantics.FuzzyAssociation.isInteresting - -def -isInteresting - - - -Semantics.FuzzyAssociation->Semantics.FuzzyAssociation.isInteresting - - -contains - - - -Semantics.FuzzyAssociation.fuzzyBind - -def -fuzzyBind - - - -Semantics.FuzzyAssociation->Semantics.FuzzyAssociation.fuzzyBind - - -contains - - - -Semantics.GCCL.complete_wrapper_true - -theorem -complete_wrapper_true - - - -Semantics.GCCL->Semantics.GCCL.complete_wrapper_true - - -contains - - - -Semantics.GCCL.lawful_example_admissible - -theorem -lawful_example_admissible - - - -Semantics.GCCL->Semantics.GCCL.lawful_example_admissible - - -contains - - - -Semantics.GCCL.compression_gain_without_invariant_is_not_lawful - -theorem -compression_gain_without_invariant_is_no - - - -Semantics.GCCL->Semantics.GCCL.compression_gain_without_invariant_is_not_lawful - - -contains - - - -Semantics.GCCL.verified_rep_and_lawful_transition_promotes - -theorem -verified_rep_and_lawful_transition_promo - - - -Semantics.GCCL->Semantics.GCCL.verified_rep_and_lawful_transition_promotes - - -contains - - - -Semantics.GCCL.verified_rep_does_not_promote_unlawful_transition - -theorem -verified_rep_does_not_promote_unlawful_t - - - -Semantics.GCCL->Semantics.GCCL.verified_rep_does_not_promote_unlawful_transition - - -contains - - - -Semantics.GCCL.dna_primitive_admissible - -theorem -dna_primitive_admissible - - - -Semantics.GCCL->Semantics.GCCL.dna_primitive_admissible - - -contains - - - -Semantics.GCCL.model_codon_primitive_admissible - -theorem -model_codon_primitive_admissible - - - -Semantics.GCCL->Semantics.GCCL.model_codon_primitive_admissible - - -contains - - - -Semantics.GCCL.biological_and_model_domains_do_not_mix_without_receipt - -theorem -biological_and_model_domains_do_not_mix_ - - - -Semantics.GCCL->Semantics.GCCL.biological_and_model_domains_do_not_mix_without_receipt - - -contains - - - -Semantics.GCCL.biological_and_model_domains_mix_with_receipt_bridge - -theorem -biological_and_model_domains_mix_with_re - - - -Semantics.GCCL->Semantics.GCCL.biological_and_model_domains_mix_with_receipt_bridge - - -contains - - - -Semantics.GCCL.lawful_surface_implies_complete_wrapper - -theorem -lawful_surface_implies_complete_wrapper - - - -Semantics.GCCL->Semantics.GCCL.lawful_surface_implies_complete_wrapper - - -contains - - - -Semantics.GCCL.rep_promotion_implies_verified - -theorem -rep_promotion_implies_verified - - - -Semantics.GCCL->Semantics.GCCL.rep_promotion_implies_verified - - -contains - - - -Semantics.GCCL.admissible_primitive_has_active_alphabet - -theorem -admissible_primitive_has_active_alphabet - - - -Semantics.GCCL->Semantics.GCCL.admissible_primitive_has_active_alphabet - - -contains - - - -Semantics.GCCL.wrapperComplete - -def -wrapperComplete - - - -Semantics.GCCL->Semantics.GCCL.wrapperComplete - - -contains - - - -Semantics.GCCL.transitionAccepted - -def -transitionAccepted - - - -Semantics.GCCL->Semantics.GCCL.transitionAccepted - - -contains - - - -Semantics.GCCL.lawfulSurfaceAdmissible - -def -lawfulSurfaceAdmissible - - - -Semantics.GCCL->Semantics.GCCL.lawfulSurfaceAdmissible - - -contains - - - -Semantics.GCCL.quarantineRoutable - -def -quarantineRoutable - - - -Semantics.GCCL->Semantics.GCCL.quarantineRoutable - - -contains - - - -Semantics.GCCL.repVerified - -def -repVerified - - - -Semantics.GCCL->Semantics.GCCL.repVerified - - -contains - - - -Semantics.GCCL.repPromotable - -def -repPromotable - - - -Semantics.GCCL->Semantics.GCCL.repPromotable - - -contains - - - -Semantics.GCCL.activeAlphabetDeclared - -def -activeAlphabetDeclared - - - -Semantics.GCCL->Semantics.GCCL.activeAlphabetDeclared - - -contains - - - -Semantics.GCCL.mixturePrimitiveAdmissible - -def -mixturePrimitiveAdmissible - - - -Semantics.GCCL->Semantics.GCCL.mixturePrimitiveAdmissible - - -contains - - - -Semantics.GCCL.domainMixAllowed - -def -domainMixAllowed - - - -Semantics.GCCL->Semantics.GCCL.domainMixAllowed - - -contains - - - -Semantics.GCCL.primitivesCanMix - -def -primitivesCanMix - - - -Semantics.GCCL->Semantics.GCCL.primitivesCanMix - - -contains - - - -Semantics.GCCL.completeWrapper - -def -completeWrapper - - - -Semantics.GCCL->Semantics.GCCL.completeWrapper - - -contains - - - -Semantics.GCCL.acceptedReceipt - -def -acceptedReceipt - - - -Semantics.GCCL->Semantics.GCCL.acceptedReceipt - - -contains - - - -Semantics.GCCL.lawfulExample - -def -lawfulExample - - - -Semantics.GCCL->Semantics.GCCL.lawfulExample - - -contains - - - -Semantics.GCCL.compressionOnlyExample - -def -compressionOnlyExample - - - -Semantics.GCCL->Semantics.GCCL.compressionOnlyExample - - -contains - - - -Semantics.GCCL.verifiedRep - -def -verifiedRep - - - -Semantics.GCCL->Semantics.GCCL.verifiedRep - - -contains - - - -Semantics.GCCL.dnaIupacPrimitive - -def -dnaIupacPrimitive - - - -Semantics.GCCL->Semantics.GCCL.dnaIupacPrimitive - - -contains - - - -Semantics.GCCL.modelCodonPrimitive - -def -modelCodonPrimitive - - - -Semantics.GCCL->Semantics.GCCL.modelCodonPrimitive - - -contains - - - -Semantics.GCCL.mappedBridgePrimitive - -def -mappedBridgePrimitive - - - -Semantics.GCCL->Semantics.GCCL.mappedBridgePrimitive - - -contains - - - -Semantics.GCLTopologyRevision - -module -GCLTopologyRevision - - - -Semantics.GCLTopologyRevision.canonicalGateHasAuthority - -theorem -canonicalGateHasAuthority - - - -Semantics.GCLTopologyRevision->Semantics.GCLTopologyRevision.canonicalGateHasAuthority - - -contains - - - -Semantics.GCLTopologyRevision.routeHintNoDirectAuthority - -theorem -routeHintNoDirectAuthority - - - -Semantics.GCLTopologyRevision->Semantics.GCLTopologyRevision.routeHintNoDirectAuthority - - -contains - - - -Semantics.GCLTopologyRevision.ms3cShearWithoutGateRenormalizes - -theorem -ms3cShearWithoutGateRenormalizes - - - -Semantics.GCLTopologyRevision->Semantics.GCLTopologyRevision.ms3cShearWithoutGateRenormalizes - - -contains - - - -Semantics.GCLTopologyRevision.hintAuthorizesExecution - -def -hintAuthorizesExecution - - - -Semantics.GCLTopologyRevision->Semantics.GCLTopologyRevision.hintAuthorizesExecution - - -contains - - - -Semantics.GCLTopologyRevision.canonicalGate - -def -canonicalGate - - - -Semantics.GCLTopologyRevision->Semantics.GCLTopologyRevision.canonicalGate - - -contains - - - -Semantics.GCLTopologyRevision.gateHasAuthority - -def -gateHasAuthority - - - -Semantics.GCLTopologyRevision->Semantics.GCLTopologyRevision.gateHasAuthority - - -contains - - - -Semantics.GCLTopologyRevision.routeVerdict - -def -routeVerdict - - - -Semantics.GCLTopologyRevision->Semantics.GCLTopologyRevision.routeVerdict - - -contains - - - -Semantics.GCLTopologyRevision.sampleMS3CHint - -def -sampleMS3CHint - - - -Semantics.GCLTopologyRevision->Semantics.GCLTopologyRevision.sampleMS3CHint - - -contains - - - -Semantics.GPUResourceManager - -module -GPUResourceManager - - - -Semantics.GPUResourceManager.defaultGPUSpec - -def -defaultGPUSpec - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.defaultGPUSpec - - -contains - - - -Semantics.GPUResourceManager.vramUtilizationRatio - -def -vramUtilizationRatio - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.vramUtilizationRatio - - -contains - - - -Semantics.GPUResourceManager.coreUtilizationRatio - -def -coreUtilizationRatio - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.coreUtilizationRatio - - -contains - - - -Semantics.GPUResourceManager.atTargetLoad - -def -atTargetLoad - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.atTargetLoad - - -contains - - - -Semantics.GPUResourceManager.canAllocateGPU - -def -canAllocateGPU - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.canAllocateGPU - - -contains - - - -Semantics.GPUResourceManager.allocateTask - -def -allocateTask - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.allocateTask - - -contains - - - -Semantics.GPUResourceManager.resourceInvariant - -def -resourceInvariant - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.resourceInvariant - - -contains - - - -Semantics.GPUResourceManager.resourceCost - -def -resourceCost - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.resourceCost - - -contains - - - -Semantics.GPUResourceManager.resourceBind - -def -resourceBind - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.resourceBind - - -contains - - - -Semantics.GPUResourceManager.gpuAtTarget - -def -gpuAtTarget - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.gpuAtTarget - - -contains - - - -Semantics.GPUResourceManager.gpuUnderUtilized - -def -gpuUnderUtilized - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.gpuUnderUtilized - - -contains - - - -Semantics.GPUResourceManager.gpuOverUtilized - -def -gpuOverUtilized - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.gpuOverUtilized - - -contains - - - -Semantics.GPUResourceManager.gpuTask - -def -gpuTask - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.gpuTask - - -contains - - - -Semantics.GPUResourceManager.cpuTask - -def -cpuTask - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.cpuTask - - -contains - - - -Semantics.GPUResourceManager.idleGPU - -def -idleGPU - - - -Semantics.GPUResourceManager->Semantics.GPUResourceManager.idleGPU - - -contains - - - -Semantics.GemmaIntegration - -module -GemmaIntegration - - - -Semantics.GemmaIntegration.e4BSupportsAudio - -theorem -e4BSupportsAudio - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.e4BSupportsAudio - - -contains - - - -Semantics.GemmaIntegration.e4BIsNotMoE - -theorem -e4BIsNotMoE - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.e4BIsNotMoE - - -contains - - - -Semantics.GemmaIntegration.audioTranscriptionRequiresAudio - -theorem -audioTranscriptionRequiresAudio - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.audioTranscriptionRequiresAudio - - -contains - - - -Semantics.GemmaIntegration.e4BCompatibleWithTextGen - -theorem -e4BCompatibleWithTextGen - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.e4BCompatibleWithTextGen - - -contains - - - -Semantics.GemmaIntegration.emptyRegistryHasNoMetrics - -theorem -emptyRegistryHasNoMetrics - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.emptyRegistryHasNoMetrics - - -contains - - - -Semantics.GemmaIntegration.zero - -def -zero - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.zero - - -contains - - - -Semantics.GemmaIntegration.one - -def -one - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.one - - -contains - - - -Semantics.GemmaIntegration.ofFrac - -def -ofFrac - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.ofFrac - - -contains - - - -Semantics.GemmaIntegration.gemmaVariantSize - -def -gemmaVariantSize - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.gemmaVariantSize - - -contains - - - -Semantics.GemmaIntegration.supportsAudio - -def -supportsAudio - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.supportsAudio - - -contains - - - -Semantics.GemmaIntegration.isMoEModel - -def -isMoEModel - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.isMoEModel - - -contains - - - -Semantics.GemmaIntegration.requiresAudio - -def -requiresAudio - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.requiresAudio - - -contains - - - -Semantics.GemmaIntegration.requiresMultimodal - -def -requiresMultimodal - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.requiresMultimodal - - -contains - - - -Semantics.GemmaIntegration.isVariantCompatible - -def -isVariantCompatible - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.isVariantCompatible - - -contains - - - -Semantics.GemmaIntegration.getRecommendedVariant - -def -getRecommendedVariant - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.getRecommendedVariant - - -contains - - - -Semantics.GemmaIntegration.initMetricsRegistry - -def -initMetricsRegistry - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.initMetricsRegistry - - -contains - - - -Semantics.GemmaIntegration.updateMetrics - -def -updateMetrics - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.updateMetrics - - -contains - - - -Semantics.GemmaIntegration.getVariantMetrics - -def -getVariantMetrics - - - -Semantics.GemmaIntegration->Semantics.GemmaIntegration.getVariantMetrics - - -contains - - - -Semantics.GeneBytecodeJIT - -module -GeneBytecodeJIT - - - -Semantics.GeneBytecodeJIT->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.GeneBytecodeJIT.zero - -def -zero - - - -Semantics.GeneBytecodeJIT->Semantics.GeneBytecodeJIT.zero - - -contains - - - -Semantics.GeneBytecodeJIT.one - -def -one - - - -Semantics.GeneBytecodeJIT->Semantics.GeneBytecodeJIT.one - - -contains - - - -Semantics.GeneBytecodeJIT.ofNat - -def -ofNat - - - -Semantics.GeneBytecodeJIT->Semantics.GeneBytecodeJIT.ofNat - - -contains - - - -Semantics.GeneBytecodeJIT.toNat - -def -toNat - - - -Semantics.GeneBytecodeJIT->Semantics.GeneBytecodeJIT.toNat - - -contains - - - -Semantics.GeneBytecodeJIT.ofFrac - -def -ofFrac - - - -Semantics.GeneBytecodeJIT->Semantics.GeneBytecodeJIT.ofFrac - - -contains - - - -Semantics.GeneBytecodeJIT.runSampleJit - -def -runSampleJit - - - -Semantics.GeneBytecodeJIT->Semantics.GeneBytecodeJIT.runSampleJit - - -contains - - - -Semantics.GenerateLUT - -module -GenerateLUT - - - -Semantics.GenerateLUT->Semantics.Adaptation - - -imports - - - -Semantics.GenerateLUT.computeEntry - -def -computeEntry - - - -Semantics.GenerateLUT->Semantics.GenerateLUT.computeEntry - - -contains - - - -Semantics.GenerateLUT.runGeneration - -def -runGeneration - - - -Semantics.GenerateLUT->Semantics.GenerateLUT.runGeneration - - -contains - - - -Semantics.GeneticBraidBridge - -module -GeneticBraidBridge - - - -Semantics.GeneticBraidBridge.ordinal_mod_lt - -theorem -ordinal_mod_lt - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.ordinal_mod_lt - - -contains - - - -Semantics.GeneticBraidBridge.genetic_eigensolid_convergence - -theorem -genetic_eigensolid_convergence - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.genetic_eigensolid_convergence - - -contains - - - -Semantics.GeneticBraidBridge.genetic_receipt_invertible - -theorem -genetic_receipt_invertible - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.genetic_receipt_invertible - - -contains - - - -Semantics.GeneticBraidBridge.alphabetSize - -def -alphabetSize - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.alphabetSize - - -contains - - - -Semantics.GeneticBraidBridge.codonLength - -def -codonLength - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.codonLength - - -contains - - - -Semantics.GeneticBraidBridge.numCodons - -def -numCodons - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.numCodons - - -contains - - - -Semantics.GeneticBraidBridge.symbolOrdinal - -def -symbolOrdinal - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.symbolOrdinal - - -contains - - - -Semantics.GeneticBraidBridge.symbolToStrand - -def -symbolToStrand - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.symbolToStrand - - -contains - - - -Semantics.GeneticBraidBridge.defaultSidonLabels - -def -defaultSidonLabels - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.defaultSidonLabels - - -contains - - - -Semantics.GeneticBraidBridge.initialState - -def -initialState - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.initialState - - -contains - - - -Semantics.GeneticBraidBridge.pairStrand - -def -pairStrand - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.pairStrand - - -contains - - - -Semantics.GeneticBraidBridge.applySymbol - -def -applySymbol - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.applySymbol - - -contains - - - -Semantics.GeneticBraidBridge.applyGeneticWord - -def -applyGeneticWord - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.applyGeneticWord - - -contains - - - -Semantics.GeneticBraidBridge.geneticReceipt - -def -geneticReceipt - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.geneticReceipt - - -contains - - - -Semantics.GeneticBraidBridge.stringToWord - -def -stringToWord - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.stringToWord - - -contains - - - -Semantics.GeneticBraidBridge.testWord - -def -testWord - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.testWord - - -contains - - - -Semantics.GeneticBraidBridge.testState - -def -testState - - - -Semantics.GeneticBraidBridge->Semantics.GeneticBraidBridge.testState - - -contains - - - -Semantics.GeneticCode - -module -GeneticCode - - - -Semantics.GeneticCode.eventBits - -def -eventBits - - - -Semantics.GeneticCode->Semantics.GeneticCode.eventBits - - -contains - - - -Semantics.GeneticCode.parityOfEvent - -def -parityOfEvent - - - -Semantics.GeneticCode->Semantics.GeneticCode.parityOfEvent - - -contains - - - -Semantics.GeneticCode.AminoAcid - -def -AminoAcid - - - -Semantics.GeneticCode->Semantics.GeneticCode.AminoAcid - - -contains - - - -Semantics.GeneticCode.Codon - -def -Codon - - - -Semantics.GeneticCode->Semantics.GeneticCode.Codon - - -contains - - - -Semantics.GeneticCode.geneticCode - -def -geneticCode - - - -Semantics.GeneticCode->Semantics.GeneticCode.geneticCode - - -contains - - - -Semantics.GeneticCode.isStartCodon - -def -isStartCodon - - - -Semantics.GeneticCode->Semantics.GeneticCode.isStartCodon - - -contains - - - -Semantics.GeneticCode.isStopCodon - -def -isStopCodon - - - -Semantics.GeneticCode->Semantics.GeneticCode.isStopCodon - - -contains - - - -Semantics.GeneticCode.codonDegeneracy - -def -codonDegeneracy - - - -Semantics.GeneticCode->Semantics.GeneticCode.codonDegeneracy - - -contains - - - -Semantics.GeneticCode.exampleStartCodon - -def -exampleStartCodon - - - -Semantics.GeneticCode->Semantics.GeneticCode.exampleStartCodon - - -contains - - - -Semantics.GeneticCode.exampleStopCodon - -def -exampleStopCodon - - - -Semantics.GeneticCode->Semantics.GeneticCode.exampleStopCodon - - -contains - - - -Semantics.GeneticCode.examplePheCodon - -def -examplePheCodon - - - -Semantics.GeneticCode->Semantics.GeneticCode.examplePheCodon - - -contains - - - -Semantics.GeneticCodeOptimization - -module -GeneticCodeOptimization - - - -Semantics.GeneticCodeOptimization.geneticOptimizationBounded - -theorem -geneticOptimizationBounded - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.geneticOptimizationBounded - - -contains - - - -Semantics.GeneticCodeOptimization.degeneracyBounded - -theorem -degeneracyBounded - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.degeneracyBounded - - -contains - - - -Semantics.GeneticCodeOptimization.informationDensityBounded - -theorem -informationDensityBounded - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.informationDensityBounded - - -contains - - - -Semantics.GeneticCodeOptimization.errorResistanceBounded - -theorem -errorResistanceBounded - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.errorResistanceBounded - - -contains - - - -Semantics.GeneticCodeOptimization.compressionEfficiencyBounded - -theorem -compressionEfficiencyBounded - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.compressionEfficiencyBounded - - -contains - - - -Semantics.GeneticCodeOptimization.targetsBelowMaximum - -theorem -targetsBelowMaximum - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.targetsBelowMaximum - - -contains - - - -Semantics.GeneticCodeOptimization.computeGeneticOptimization - -def -computeGeneticOptimization - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.computeGeneticOptimization - - -contains - - - -Semantics.GeneticCodeOptimization.targetInformationDensity - -def -targetInformationDensity - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.targetInformationDensity - - -contains - - - -Semantics.GeneticCodeOptimization.targetErrorResistance - -def -targetErrorResistance - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.targetErrorResistance - - -contains - - - -Semantics.GeneticCodeOptimization.targetCompressionEfficiency - -def -targetCompressionEfficiency - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.targetCompressionEfficiency - - -contains - - - -Semantics.GeneticCodeOptimization.maxDegeneracy - -def -maxDegeneracy - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.maxDegeneracy - - -contains - - - -Semantics.GeneticCodeOptimization.computeInformationDensity - -def -computeInformationDensity - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.computeInformationDensity - - -contains - - - -Semantics.GeneticCodeOptimization.computeErrorResistance - -def -computeErrorResistance - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.computeErrorResistance - - -contains - - - -Semantics.GeneticCodeOptimization.computeCompressionEfficiency - -def -computeCompressionEfficiency - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.computeCompressionEfficiency - - -contains - - - -Semantics.GeneticCodeOptimization.beatsInformationTarget - -def -beatsInformationTarget - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.beatsInformationTarget - - -contains - - - -Semantics.GeneticCodeOptimization.beatsErrorTarget - -def -beatsErrorTarget - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.beatsErrorTarget - - -contains - - - -Semantics.GeneticCodeOptimization.beatsCompressionTarget - -def -beatsCompressionTarget - - - -Semantics.GeneticCodeOptimization->Semantics.GeneticCodeOptimization.beatsCompressionTarget - - -contains - - - -Semantics.GeneticFieldEquation - -module -GeneticFieldEquation - - - -Semantics.GeneticFieldEquation.for - -theorem -for - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.for - - -contains - - - -Semantics.GeneticFieldEquation.geneticInvariantCloseTo3 - -theorem -geneticInvariantCloseTo3 - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.geneticInvariantCloseTo3 - - -contains - - - -Semantics.GeneticFieldEquation.geneticInvariantDifference - -theorem -geneticInvariantDifference - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.geneticInvariantDifference - - -contains - - - -Semantics.GeneticFieldEquation.sardineP0Derived - -theorem -sardineP0Derived - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.sardineP0Derived - - -contains - - - -Semantics.GeneticFieldEquation.sardineResidualSmall - -theorem -sardineResidualSmall - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.sardineResidualSmall - - -contains - - - -Semantics.GeneticFieldEquation.earlyHumanP0Derived - -theorem -earlyHumanP0Derived - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.earlyHumanP0Derived - - -contains - - - -Semantics.GeneticFieldEquation.modernHumanP0Derived - -theorem -modernHumanP0Derived - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.modernHumanP0Derived - - -contains - - - -Semantics.GeneticFieldEquation.upperLimitHumanP0Derived - -theorem -upperLimitHumanP0Derived - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.upperLimitHumanP0Derived - - -contains - - - -Semantics.GeneticFieldEquation.earlyHumanResidualLarge - -theorem -earlyHumanResidualLarge - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.earlyHumanResidualLarge - - -contains - - - -Semantics.GeneticFieldEquation.modernHumanResidualLarge - -theorem -modernHumanResidualLarge - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.modernHumanResidualLarge - - -contains - - - -Semantics.GeneticFieldEquation.upperLimitHumanResidualLarge - -theorem -upperLimitHumanResidualLarge - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.upperLimitHumanResidualLarge - - -contains - - - -Semantics.GeneticFieldEquation.correctedSardineAdmissible - -theorem -correctedSardineAdmissible - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.correctedSardineAdmissible - - -contains - - - -Semantics.GeneticFieldEquation.correctedEarlyHumanNotAdmissible - -theorem -correctedEarlyHumanNotAdmissible - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.correctedEarlyHumanNotAdmissible - - -contains - - - -Semantics.GeneticFieldEquation.correctedModernHumanNotAdmissible - -theorem -correctedModernHumanNotAdmissible - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.correctedModernHumanNotAdmissible - - -contains - - - -Semantics.GeneticFieldEquation.correctedUpperLimitHumanNotAdmissible - -theorem -correctedUpperLimitHumanNotAdmissible - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.correctedUpperLimitHumanNotAdmissible - - -contains - - - -Semantics.GeneticFieldEquation.geneticInvariantRatio - -def -geneticInvariantRatio - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.geneticInvariantRatio - - -contains - - - -Semantics.GeneticFieldEquation.earlyHumanParameters - -def -earlyHumanParameters - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.earlyHumanParameters - - -contains - - - -Semantics.GeneticFieldEquation.modernHumanParameters - -def -modernHumanParameters - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.modernHumanParameters - - -contains - - - -Semantics.GeneticFieldEquation.upperLimitHumanParameters - -def -upperLimitHumanParameters - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.upperLimitHumanParameters - - -contains - - - -Semantics.GeneticFieldEquation.sardineParameters - -def -sardineParameters - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.sardineParameters - - -contains - - - -Semantics.GeneticFieldEquation.eColiParameters - -def -eColiParameters - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.eColiParameters - - -contains - - - -Semantics.GeneticFieldEquation.semanticCountK5 - -def -semanticCountK5 - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.semanticCountK5 - - -contains - - - -Semantics.GeneticFieldEquation.p0ToQ16_16 - -def -p0ToQ16_16 - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.p0ToQ16_16 - - -contains - - - -Semantics.GeneticFieldEquation.deriveP0FromObservation - -def -deriveP0FromObservation - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.deriveP0FromObservation - - -contains - - - -Semantics.GeneticFieldEquation.computeResidual - -def -computeResidual - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.computeResidual - - -contains - - - -Semantics.GeneticFieldEquation.geneticMassNumber - -def -geneticMassNumber - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.geneticMassNumber - - -contains - - - -Semantics.GeneticFieldEquation.sardineMassNumber - -def -sardineMassNumber - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.sardineMassNumber - - -contains - - - -Semantics.GeneticFieldEquation.earlyHumanMassNumber - -def -earlyHumanMassNumber - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.earlyHumanMassNumber - - -contains - - - -Semantics.GeneticFieldEquation.modernHumanMassNumber - -def -modernHumanMassNumber - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.modernHumanMassNumber - - -contains - - - -Semantics.GeneticFieldEquation.upperLimitHumanMassNumber - -def -upperLimitHumanMassNumber - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.upperLimitHumanMassNumber - - -contains - - - -Semantics.GeneticFieldEquation.eColiMassNumber - -def -eColiMassNumber - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.eColiMassNumber - - -contains - - - -Semantics.GeneticFieldEquation.oldGateSemanticsNote - -def -oldGateSemanticsNote - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.oldGateSemanticsNote - - -contains - - - -Semantics.GeneticFieldEquation.correctedGeneticMassNumber - -def -correctedGeneticMassNumber - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.correctedGeneticMassNumber - - -contains - - - -Semantics.GeneticFieldEquation.correctedSardineMassNumber - -def -correctedSardineMassNumber - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.correctedSardineMassNumber - - -contains - - - -Semantics.GeneticFieldEquation.correctedEarlyHumanMassNumber - -def -correctedEarlyHumanMassNumber - - - -Semantics.GeneticFieldEquation->Semantics.GeneticFieldEquation.correctedEarlyHumanMassNumber - - -contains - - - -Semantics.GeneticGroundUp - -module -GeneticGroundUp - - - -Semantics.GeneticGroundUp.quantumBaseProbValid - -theorem -quantumBaseProbValid - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.quantumBaseProbValid - - -contains - - - -Semantics.GeneticGroundUp.genomeFaultTolerance - -theorem -genomeFaultTolerance - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.genomeFaultTolerance - - -contains - - - -Semantics.GeneticGroundUp.metabolicThroughputNonNeg - -theorem -metabolicThroughputNonNeg - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.metabolicThroughputNonNeg - - -contains - - - -Semantics.GeneticGroundUp.Nucleotide - -def -Nucleotide - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.Nucleotide - - -contains - - - -Semantics.GeneticGroundUp.expressionProb - -def -expressionProb - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.expressionProb - - -contains - - - -Semantics.GeneticGroundUp.bindingEnergy - -def -bindingEnergy - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.bindingEnergy - - -contains - - - -Semantics.GeneticGroundUp.foldAngle - -def -foldAngle - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.foldAngle - - -contains - - - -Semantics.GeneticGroundUp.Prob01 - -def -Prob01 - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.Prob01 - - -contains - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.Prob01 - - -contains - - - -Semantics.GeneticGroundUp.NonnegQ16_16 - -def -NonnegQ16_16 - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.NonnegQ16_16 - - -contains - - - -Semantics.GeneticGroundUp.probAmpSq - -def -probAmpSq - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.probAmpSq - - -contains - - - -Semantics.GeneticGroundUp.getExpressionProb - -def -getExpressionProb - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.getExpressionProb - - -contains - - - -Semantics.GeneticGroundUp.informationContentApprox - -def -informationContentApprox - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.informationContentApprox - - -contains - - - -Semantics.GeneticGroundUp.isRecent - -def -isRecent - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.isRecent - - -contains - - - -Semantics.GeneticGroundUp.CompilationStage - -def -CompilationStage - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.CompilationStage - - -contains - - - -Semantics.GeneticGroundUp.targetFoldTime200Residue - -def -targetFoldTime200Residue - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.targetFoldTime200Residue - - -contains - - - -Semantics.GeneticGroundUp.targetFoldTimeForResidues - -def -targetFoldTimeForResidues - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.targetFoldTimeForResidues - - -contains - - - -Semantics.GeneticGroundUp.achievedTargetSpeed - -def -achievedTargetSpeed - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.achievedTargetSpeed - - -contains - - - -Semantics.GeneticGroundUp.stabilityThreshold - -def -stabilityThreshold - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.stabilityThreshold - - -contains - - - -Semantics.GeneticGroundUp.isStable - -def -isStable - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.isStable - - -contains - - - -Semantics.GeneticGroundUp.OptimizationObjective - -def -OptimizationObjective - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.OptimizationObjective - - -contains - - - -Semantics.GeneticGroundUp.messagePassing - -def -messagePassing - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.messagePassing - - -contains - - - -Semantics.GeneticGroundUp.speedupTarget - -def -speedupTarget - - - -Semantics.GeneticGroundUp->Semantics.GeneticGroundUp.speedupTarget - - -contains - - - -Semantics.GeneticOptimizerVerification - -module -GeneticOptimizerVerification - - - -Semantics.GeneticOptimizerVerification.add_zero_of_nonneg - -theorem -add_zero_of_nonneg - - - -Semantics.GeneticOptimizerVerification->Semantics.GeneticOptimizerVerification.add_zero_of_nonneg - - -contains - - - -Semantics.GeneticOptimizerVerification.zero_add_of_nonneg - -theorem -zero_add_of_nonneg - - - -Semantics.GeneticOptimizerVerification->Semantics.GeneticOptimizerVerification.zero_add_of_nonneg - - -contains - - - -Semantics.GeneticOptimizerVerification.mul_nonneg_preserves_nonneg - -theorem -mul_nonneg_preserves_nonneg - - - -Semantics.GeneticOptimizerVerification->Semantics.GeneticOptimizerVerification.mul_nonneg_preserves_nonneg - - -contains - - - -Semantics.GeneticOptimizerVerification.emptyCountsBlendedProbability - -theorem -emptyCountsBlendedProbability - - - -Semantics.GeneticOptimizerVerification->Semantics.GeneticOptimizerVerification.emptyCountsBlendedProbability - - -contains - - - -Semantics.GeneticOptimizerVerification.basisLength - -def -basisLength - - - -Semantics.GeneticOptimizerVerification->Semantics.GeneticOptimizerVerification.basisLength - - -contains - - - -Semantics.GeneticOptimizerVerification.prior - -def -prior - - - -Semantics.GeneticOptimizerVerification->Semantics.GeneticOptimizerVerification.prior - - -contains - - - -Semantics.GeneticOptimizerVerification.exactPriorSum - -def -exactPriorSum - - - -Semantics.GeneticOptimizerVerification->Semantics.GeneticOptimizerVerification.exactPriorSum - - -contains - - - -Semantics.GeneticOptimizerVerification.blendTransition - -def -blendTransition - - - -Semantics.GeneticOptimizerVerification->Semantics.GeneticOptimizerVerification.blendTransition - - -contains - - - -Semantics.GeneticOptimizerVerification.blendProbability - -def -blendProbability - - - -Semantics.GeneticOptimizerVerification->Semantics.GeneticOptimizerVerification.blendProbability - - -contains - - - -Semantics.GeneticOptimizerVerification.sampleBasis - -def -sampleBasis - - - -Semantics.GeneticOptimizerVerification->Semantics.GeneticOptimizerVerification.sampleBasis - - -contains - - - -Semantics.GeneticOptimizerVerification.testPriorCalculation - -def -testPriorCalculation - - - -Semantics.GeneticOptimizerVerification->Semantics.GeneticOptimizerVerification.testPriorCalculation - - -contains - - - -Semantics.GeneticOptimizerVerification.testExactPriorSum - -def -testExactPriorSum - - - -Semantics.GeneticOptimizerVerification->Semantics.GeneticOptimizerVerification.testExactPriorSum - - -contains - - - -Semantics.GeneticOptimizerVerification.testIEEE754Boundary - -def -testIEEE754Boundary - - - -Semantics.GeneticOptimizerVerification->Semantics.GeneticOptimizerVerification.testIEEE754Boundary - - -contains - - - -Semantics.GeneticsPromotionGate - -module -GeneticsPromotionGate - - - -Semantics.GeneticsPromotionGate.defaultClaim - -def -defaultClaim - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.defaultClaim - - -contains - - - -Semantics.GeneticsPromotionGate.admissibleReduction - -def -admissibleReduction - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.admissibleReduction - - -contains - - - -Semantics.GeneticsPromotionGate.residualRisk - -def -residualRisk - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.residualRisk - - -contains - - - -Semantics.GeneticsPromotionGate.geneticsPromotionGate - -def -geneticsPromotionGate - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.geneticsPromotionGate - - -contains - - - -Semantics.GeneticsPromotionGate.biologicalEquivalenceWarden - -def -biologicalEquivalenceWarden - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.biologicalEquivalenceWarden - - -contains - - - -Semantics.GeneticsPromotionGate.geneticCodeClaim - -def -geneticCodeClaim - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.geneticCodeClaim - - -contains - - - -Semantics.GeneticsPromotionGate.codonOTOMClaim - -def -codonOTOMClaim - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.codonOTOMClaim - - -contains - - - -Semantics.GeneticsPromotionGate.peptideMoEClaim - -def -peptideMoEClaim - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.peptideMoEClaim - - -contains - - - -Semantics.GeneticsPromotionGate.genomicCompressionClaim - -def -genomicCompressionClaim - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.genomicCompressionClaim - - -contains - - - -Semantics.GeneticsPromotionGate.syntheticGeneticCodingClaim - -def -syntheticGeneticCodingClaim - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.syntheticGeneticCodingClaim - - -contains - - - -Semantics.GeneticsPromotionGate.geneticGroundUpClaim - -def -geneticGroundUpClaim - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.geneticGroundUpClaim - - -contains - - - -Semantics.GeneticsPromotionGate.hachimojiClaim - -def -hachimojiClaim - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.hachimojiClaim - - -contains - - - -Semantics.GeneticsPromotionGate.codonPeptideConsistencyClaim - -def -codonPeptideConsistencyClaim - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.codonPeptideConsistencyClaim - - -contains - - - -Semantics.GeneticsPromotionGate.allelicaClaim - -def -allelicaClaim - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.allelicaClaim - - -contains - - - -Semantics.GeneticsPromotionGate.auditCanonicalModels - -def -auditCanonicalModels - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.auditCanonicalModels - - -contains - - - -Semantics.GeneticsPromotionGate.registryOnlyClaim - -def -registryOnlyClaim - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.registryOnlyClaim - - -contains - - - -Semantics.GeneticsPromotionGate.auditRegistryOnlyModels - -def -auditRegistryOnlyModels - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.auditRegistryOnlyModels - - -contains - - - -Semantics.GeneticsPromotionGate.conservativeThreshold - -def -conservativeThreshold - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.conservativeThreshold - - -contains - - - -Semantics.GeneticsPromotionGate.defaultThreshold - -def -defaultThreshold - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.defaultThreshold - - -contains - - - -Semantics.GeneticsPromotionGate.generousThreshold - -def -generousThreshold - - - -Semantics.GeneticsPromotionGate->Semantics.GeneticsPromotionGate.generousThreshold - - -contains - - - -Semantics.Genome18 - -module -Genome18 - - - -Semantics.Genome18->Mathlib.Data.Fin.Basic - - -imports - - - -Semantics.Genome18.addr_injective - -theorem -addr_injective - - - -Semantics.Genome18->Semantics.Genome18.addr_injective - - -contains - - - -Semantics.Genome18.addr_range - -theorem -addr_range - - - -Semantics.Genome18->Semantics.Genome18.addr_range - - -contains - - - -Semantics.Genome18.addr - -def -addr - - - -Semantics.Genome18->Semantics.Genome18.addr - - -contains - - - -Semantics.Genome18.default - -def -default - - - -Semantics.Genome18->Semantics.Genome18.default - - -contains - - - -Semantics.GenomicCompression.Components - -module -Components - - - -Semantics.GenomicCompression.Components.cpgIslandDefault - -def -cpgIslandDefault - - - -Semantics.GenomicCompression.Components->Semantics.GenomicCompression.Components.cpgIslandDefault - - -contains - - - -Semantics.GenomicCompression.Components.codingRegionDefault - -def -codingRegionDefault - - - -Semantics.GenomicCompression.Components->Semantics.GenomicCompression.Components.codingRegionDefault - - -contains - - - -Semantics.GenomicCompression.Components.dnaMethylationDefault - -def -dnaMethylationDefault - - - -Semantics.GenomicCompression.Components->Semantics.GenomicCompression.Components.dnaMethylationDefault - - -contains - - - -Semantics.GenomicCompression.Components.proteinStructureDefault - -def -proteinStructureDefault - - - -Semantics.GenomicCompression.Components->Semantics.GenomicCompression.Components.proteinStructureDefault - - -contains - - - -Semantics.GenomicCompression.Components.totalWeight - -def -totalWeight - - - -Semantics.GenomicCompression.Components->Semantics.GenomicCompression.Components.totalWeight - - -contains - - - -Semantics.GenomicCompression.Compression - -module -Compression - - - -Semantics.GenomicCompression.Compression.compressionRatioSI - -def -compressionRatioSI - - - -Semantics.GenomicCompression.Compression->Semantics.GenomicCompression.Compression.compressionRatioSI - - -contains - - - -Semantics.GenomicCompression.Compression.compressionPercentage - -def -compressionPercentage - - - -Semantics.GenomicCompression.Compression->Semantics.GenomicCompression.Compression.compressionPercentage - - -contains - - - -Semantics.GenomicCompression.Compression.compressWindow - -def -compressWindow - - - -Semantics.GenomicCompression.Compression->Semantics.GenomicCompression.Compression.compressWindow - - -contains - - - -Semantics.GenomicCompression.Compression.compressDNAWindows - -def -compressDNAWindows - - - -Semantics.GenomicCompression.Compression->Semantics.GenomicCompression.Compression.compressDNAWindows - - -contains - - - -Semantics.GenomicCompression.Compression.compressProtein - -def -compressProtein - - - -Semantics.GenomicCompression.Compression->Semantics.GenomicCompression.Compression.compressProtein - - -contains - - - -Semantics.GenomicCompression.Compression.compressGRN - -def -compressGRN - - - -Semantics.GenomicCompression.Compression->Semantics.GenomicCompression.Compression.compressGRN - - -contains - - - -Semantics.GenomicCompression.Field - -module -Field - - - -Semantics.GenomicCompression.Field.phiGenomicRaw - -def -phiGenomicRaw - - - -Semantics.GenomicCompression.Field->Semantics.GenomicCompression.Field.phiGenomicRaw - - -contains - - - -Semantics.GenomicCompression.Field.phiGenomic - -def -phiGenomic - - - -Semantics.GenomicCompression.Field->Semantics.GenomicCompression.Field.phiGenomic - - -contains - - - -Semantics.GenomicCompression.Field.effectiveEntropy - -def -effectiveEntropy - - - -Semantics.GenomicCompression.Field->Semantics.GenomicCompression.Field.effectiveEntropy - - -contains - - - -Semantics.GenomicCompression.Field.effectiveInfo - -def -effectiveInfo - - - -Semantics.GenomicCompression.Field->Semantics.GenomicCompression.Field.effectiveInfo - - -contains - - - -Semantics.GenomicCompression.NonDriftProof - -module -NonDriftProof - - - -Semantics.GenomicCompression.NonDriftProof.originalViolatesBoundedness - -theorem -originalViolatesBoundedness - - - -Semantics.GenomicCompression.NonDriftProof->Semantics.GenomicCompression.NonDriftProof.originalViolatesBoundedness - - -contains - - - -Semantics.GenomicCompression.NonDriftProof.originalHasSignError - -theorem -originalHasSignError - - - -Semantics.GenomicCompression.NonDriftProof->Semantics.GenomicCompression.NonDriftProof.originalHasSignError - - -contains - - - -Semantics.GenomicCompression.NonDriftProof.refinedSatisfiesBoundedness - -theorem -refinedSatisfiesBoundedness - - - -Semantics.GenomicCompression.NonDriftProof->Semantics.GenomicCompression.NonDriftProof.refinedSatisfiesBoundedness - - -contains - - - -Semantics.GenomicCompression.NonDriftProof.refinedCorrectEntropySignRaw - -theorem -refinedCorrectEntropySignRaw - - - -Semantics.GenomicCompression.NonDriftProof->Semantics.GenomicCompression.NonDriftProof.refinedCorrectEntropySignRaw - - -contains - - - -Semantics.GenomicCompression.NonDriftProof.transformationIsDerivable - -theorem -transformationIsDerivable - - - -Semantics.GenomicCompression.NonDriftProof->Semantics.GenomicCompression.NonDriftProof.transformationIsDerivable - - -contains - - - -Semantics.GenomicCompression.NonDriftProof.phiOriginal - -def -phiOriginal - - - -Semantics.GenomicCompression.NonDriftProof->Semantics.GenomicCompression.NonDriftProof.phiOriginal - - -contains - - - -Semantics.GenomicCompression.NonDriftProof.phiRefined - -def -phiRefined - - - -Semantics.GenomicCompression.NonDriftProof->Semantics.GenomicCompression.NonDriftProof.phiRefined - - -contains - - - -Semantics.GenomicCompression.Theorems - -module -Theorems - - - -Semantics.GenomicCompression.Theorems.phiGenomicBounded - -theorem -phiGenomicBounded - - - -Semantics.GenomicCompression.Theorems->Semantics.GenomicCompression.Theorems.phiGenomicBounded - - -contains - - - -Semantics.GenomicCompression.Theorems.hierarchyImprovesPhiRaw - -theorem -hierarchyImprovesPhiRaw - - - -Semantics.GenomicCompression.Theorems->Semantics.GenomicCompression.Theorems.hierarchyImprovesPhiRaw - - -contains - - - -Semantics.GenomicCompression.Theorems.compressionEfficiencyBounded - -theorem -compressionEfficiencyBounded - - - -Semantics.GenomicCompression.Theorems->Semantics.GenomicCompression.Theorems.compressionEfficiencyBounded - - -contains - - - -Semantics.GenomicCompression.Types - -module -Types - - - -Semantics.Genus1MengerEmbedding - -module -Genus1MengerEmbedding - - - -Semantics.Genus1MengerEmbedding.for - -theorem -for - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.for - - -contains - - - -Semantics.Genus1MengerEmbedding.levelZeroSharedCell - -theorem -levelZeroSharedCell - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.levelZeroSharedCell - - -contains - - - -Semantics.Genus1MengerEmbedding.lanePeriodIsProduct - -theorem -lanePeriodIsProduct - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.lanePeriodIsProduct - - -contains - - - -Semantics.Genus1MengerEmbedding.voidFractionAsSubdivisionPower - -theorem -voidFractionAsSubdivisionPower - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.voidFractionAsSubdivisionPower - - -contains - - - -Semantics.Genus1MengerEmbedding.mengerLevel0Torsion - -theorem -mengerLevel0Torsion - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.mengerLevel0Torsion - - -contains - - - -Semantics.Genus1MengerEmbedding.mengerLevel3Torsion - -theorem -mengerLevel3Torsion - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.mengerLevel3Torsion - - -contains - - - -Semantics.Genus1MengerEmbedding.mengerLevel4Torsion - -theorem -mengerLevel4Torsion - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.mengerLevel4Torsion - - -contains - - - -Semantics.Genus1MengerEmbedding.mengerRatioMapsToTorusPhase - -theorem -mengerRatioMapsToTorusPhase - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.mengerRatioMapsToTorusPhase - - -contains - - - -Semantics.Genus1MengerEmbedding.volumeCollapseAtK5 - -theorem -volumeCollapseAtK5 - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.volumeCollapseAtK5 - - -contains - - - -Semantics.Genus1MengerEmbedding.volumeCollapseBounded - -theorem -volumeCollapseBounded - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.volumeCollapseBounded - - -contains - - - -Semantics.Genus1MengerEmbedding.surfaceAreaExplosionAtK5 - -theorem -surfaceAreaExplosionAtK5 - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.surfaceAreaExplosionAtK5 - - -contains - - - -Semantics.Genus1MengerEmbedding.growthFactorPositive - -theorem -growthFactorPositive - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.growthFactorPositive - - -contains - - - -Semantics.Genus1MengerEmbedding.universalCurveLevel0 - -theorem -universalCurveLevel0 - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.universalCurveLevel0 - - -contains - - - -Semantics.Genus1MengerEmbedding.avmTraceIsDiscreteEmbeddingK3 - -theorem -avmTraceIsDiscreteEmbeddingK3 - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.avmTraceIsDiscreteEmbeddingK3 - - -contains - - - -Semantics.Genus1MengerEmbedding.scaleAtK5IsCorrect - -theorem -scaleAtK5IsCorrect - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.scaleAtK5IsCorrect - - -contains - - - -Semantics.Genus1MengerEmbedding.q16BridgeIsDomainAgnostic - -theorem -q16BridgeIsDomainAgnostic - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.q16BridgeIsDomainAgnostic - - -contains - - - -Semantics.Genus1MengerEmbedding.levelZeroMengerVolume - -def -levelZeroMengerVolume - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.levelZeroMengerVolume - - -contains - - - -Semantics.Genus1MengerEmbedding.levelZeroMengerSurfaceArea - -def -levelZeroMengerSurfaceArea - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.levelZeroMengerSurfaceArea - - -contains - - - -Semantics.Genus1MengerEmbedding.levelZeroEulerCharacteristic - -def -levelZeroEulerCharacteristic - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.levelZeroEulerCharacteristic - - -contains - - - -Semantics.Genus1MengerEmbedding.levelZeroFirstBettiNumber - -def -levelZeroFirstBettiNumber - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.levelZeroFirstBettiNumber - - -contains - - - -Semantics.Genus1MengerEmbedding.mengerSubdivisionFactor - -def -mengerSubdivisionFactor - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.mengerSubdivisionFactor - - -contains - - - -Semantics.Genus1MengerEmbedding.torusCycleCount - -def -torusCycleCount - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.torusCycleCount - - -contains - - - -Semantics.Genus1MengerEmbedding.c1c2LanePeriod - -def -c1c2LanePeriod - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.c1c2LanePeriod - - -contains - - - -Semantics.Genus1MengerEmbedding.mengerLevelToTorsionStep - -def -mengerLevelToTorsionStep - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.mengerLevelToTorsionStep - - -contains - - - -Semantics.Genus1MengerEmbedding.mengerVolumeAtK5 - -def -mengerVolumeAtK5 - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.mengerVolumeAtK5 - - -contains - - - -Semantics.Genus1MengerEmbedding.threeAdicScaleQ16 - -def -threeAdicScaleQ16 - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.threeAdicScaleQ16 - - -contains - - - -Semantics.Genus1MengerEmbedding.scaleAtK5Q16 - -def -scaleAtK5Q16 - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.scaleAtK5Q16 - - -contains - - - -Semantics.Genus1MengerEmbedding.genus1MengerEmbeddingStatus - -def -genus1MengerEmbeddingStatus - - - -Semantics.Genus1MengerEmbedding->Semantics.Genus1MengerEmbedding.genus1MengerEmbeddingStatus - - -contains - - - -Semantics.GeometricCompressionWorkspace - -module -GeometricCompressionWorkspace - - - -Semantics.GeometricCompressionWorkspace.promoteTrial_preserves_receipt_gate - -theorem -promoteTrial_preserves_receipt_gate - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.promoteTrial_preserves_receipt_gate - - -contains - - - -Semantics.GeometricCompressionWorkspace.promoteTrialLedger_preserves_invariant - -theorem -promoteTrialLedger_preserves_invariant - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.promoteTrialLedger_preserves_invariant - - -contains - - - -Semantics.GeometricCompressionWorkspace.projectionOrdering - -theorem -projectionOrdering - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.projectionOrdering - - -contains - - - -Semantics.GeometricCompressionWorkspace.projectToCoding - -def -projectToCoding - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.projectToCoding - - -contains - - - -Semantics.GeometricCompressionWorkspace.codingFromRatio - -def -codingFromRatio - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.codingFromRatio - - -contains - - - -Semantics.GeometricCompressionWorkspace.embedToSurface2D - -def -embedToSurface2D - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.embedToSurface2D - - -contains - - - -Semantics.GeometricCompressionWorkspace.makePerturbation - -def -makePerturbation - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.makePerturbation - - -contains - - - -Semantics.GeometricCompressionWorkspace.identityCollapse - -def -identityCollapse - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.identityCollapse - - -contains - - - -Semantics.GeometricCompressionWorkspace.lowRankCollapseTemplate - -def -lowRankCollapseTemplate - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.lowRankCollapseTemplate - - -contains - - - -Semantics.GeometricCompressionWorkspace.runDpglAudit - -def -runDpglAudit - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.runDpglAudit - - -contains - - - -Semantics.GeometricCompressionWorkspace.wardenValidate - -def -wardenValidate - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.wardenValidate - - -contains - - - -Semantics.GeometricCompressionWorkspace.runBenchmark - -def -runBenchmark - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.runBenchmark - - -contains - - - -Semantics.GeometricCompressionWorkspace.voxel3DToNVoxel - -def -voxel3DToNVoxel - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.voxel3DToNVoxel - - -contains - - - -Semantics.GeometricCompressionWorkspace.proposeRepairForPattern - -def -proposeRepairForPattern - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.proposeRepairForPattern - - -contains - - - -Semantics.GeometricCompressionWorkspace.classifyWardenEmission - -def -classifyWardenEmission - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.classifyWardenEmission - - -contains - - - -Semantics.GeometricCompressionWorkspace.buildAutopoiesis - -def -buildAutopoiesis - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.buildAutopoiesis - - -contains - - - -Semantics.GeometricCompressionWorkspace.hasProofReceipt - -def -hasProofReceipt - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.hasProofReceipt - - -contains - - - -Semantics.GeometricCompressionWorkspace.promoteTrial - -def -promoteTrial - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.promoteTrial - - -contains - - - -Semantics.GeometricCompressionWorkspace.promoteTrialLedger - -def -promoteTrialLedger - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.promoteTrialLedger - - -contains - - - -Semantics.GeometricCompressionWorkspace.runAdversarialTrial - -def -runAdversarialTrial - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.runAdversarialTrial - - -contains - - - -Semantics.GeometricCompressionWorkspace.titanWaveHeight - -def -titanWaveHeight - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.titanWaveHeight - - -contains - - - -Semantics.GeometricCompressionWorkspace.lavaWaveHeight - -def -lavaWaveHeight - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.lavaWaveHeight - - -contains - - - -Semantics.GeometricCompressionWorkspace.testVoxel3D - -def -testVoxel3D - - - -Semantics.GeometricCompressionWorkspace->Semantics.GeometricCompressionWorkspace.testVoxel3D - - -contains - - - -Semantics.GeometricTopology - -module -GeometricTopology - - - -Semantics.GeometricTopology.flatMetricNotShore - -theorem -flatMetricNotShore - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.flatMetricNotShore - - -contains - - - -Semantics.GeometricTopology.chartOriginIsCenter - -theorem -chartOriginIsCenter - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.chartOriginIsCenter - - -contains - - - -Semantics.GeometricTopology.singleChartNoQuorum - -theorem -singleChartNoQuorum - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.singleChartNoQuorum - - -contains - - - -Semantics.GeometricTopology.chartOrigin - -def -chartOrigin - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.chartOrigin - - -contains - - - -Semantics.GeometricTopology.flatMetric - -def -flatMetric - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.flatMetric - - -contains - - - -Semantics.GeometricTopology.metricDet - -def -metricDet - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.metricDet - - -contains - - - -Semantics.GeometricTopology.infiniteShoreEquation - -def -infiniteShoreEquation - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.infiniteShoreEquation - - -contains - - - -Semantics.GeometricTopology.isShoreChart - -def -isShoreChart - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.isShoreChart - - -contains - - - -Semantics.GeometricTopology.atlasCoversPoint - -def -atlasCoversPoint - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.atlasCoversPoint - - -contains - - - -Semantics.GeometricTopology.atlasEquivalent - -def -atlasEquivalent - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.atlasEquivalent - - -contains - - - -Semantics.GeometricTopology.geodesicStep - -def -geodesicStep - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.geodesicStep - - -contains - - - -Semantics.GeometricTopology.geodesicDistance - -def -geodesicDistance - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.geodesicDistance - - -contains - - - -Semantics.GeometricTopology.geometricQuorum - -def -geometricQuorum - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.geometricQuorum - - -contains - - - -Semantics.GeometricTopology.earthChart - -def -earthChart - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.earthChart - - -contains - - - -Semantics.GeometricTopology.marsChart - -def -marsChart - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.marsChart - - -contains - - - -Semantics.GeometricTopology.plutoChart - -def -plutoChart - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.plutoChart - - -contains - - - -Semantics.GeometricTopology.solarSystemAtlas - -def -solarSystemAtlas - - - -Semantics.GeometricTopology->Semantics.GeometricTopology.solarSystemAtlas - - -contains - - - -Semantics.Geometry.Behavioral - -module -Behavioral - - - -Semantics.Geometry.Behavioral.behavioralDistanceSelfZeroOne - -theorem -behavioralDistanceSelfZeroOne - - - -Semantics.Geometry.Behavioral->Semantics.Geometry.Behavioral.behavioralDistanceSelfZeroOne - - -contains - - - -Semantics.Geometry.Behavioral.behavioralDistanceZeroToTwo - -theorem -behavioralDistanceZeroToTwo - - - -Semantics.Geometry.Behavioral->Semantics.Geometry.Behavioral.behavioralDistanceZeroToTwo - - -contains - - - -Semantics.Geometry.Behavioral.domainOf - -def -domainOf - - - -Semantics.Geometry.Behavioral->Semantics.Geometry.Behavioral.domainOf - - -contains - - - -Semantics.Geometry.Behavioral.domainWeight - -def -domainWeight - - - -Semantics.Geometry.Behavioral->Semantics.Geometry.Behavioral.domainWeight - - -contains - - - -Semantics.Geometry.Behavioral.BehavioralPoint - -def -BehavioralPoint - - - -Semantics.Geometry.Behavioral->Semantics.Geometry.Behavioral.BehavioralPoint - - -contains - - - -Semantics.Geometry.Behavioral.behavioralDistanceL1 - -def -behavioralDistanceL1 - - - -Semantics.Geometry.Behavioral->Semantics.Geometry.Behavioral.behavioralDistanceL1 - - -contains - - - -Semantics.Geometry.Behavioral.midpoint - -def -midpoint - - - -Semantics.Geometry.Behavioral->Semantics.Geometry.Behavioral.midpoint - - -contains - - - -Semantics.Geometry.Behavioral.onGeodesic - -def -onGeodesic - - - -Semantics.Geometry.Behavioral->Semantics.Geometry.Behavioral.onGeodesic - - -contains - - - -Semantics.Geometry.BehavioralBind - -module -BehavioralBind - - - -Semantics.Geometry.BehavioralBind.behavioralLawful - -def -behavioralLawful - - - -Semantics.Geometry.BehavioralBind->Semantics.Geometry.BehavioralBind.behavioralLawful - - -contains - - - -Semantics.Geometry.BehavioralBind.behavioralCost - -def -behavioralCost - - - -Semantics.Geometry.BehavioralBind->Semantics.Geometry.BehavioralBind.behavioralCost - - -contains - - - -Semantics.Geometry.BehavioralBind.behavioralInvariant - -def -behavioralInvariant - - - -Semantics.Geometry.BehavioralBind->Semantics.Geometry.BehavioralBind.behavioralInvariant - - -contains - - - -Semantics.Geometry.BehavioralBind.resolveGeodesic - -def -resolveGeodesic - - - -Semantics.Geometry.BehavioralBind->Semantics.Geometry.BehavioralBind.resolveGeodesic - - -contains - - - -Semantics.Geometry.Cascade - -module -Cascade - - - -Semantics.Geometry.Cascade.simplexCheaperThanCube - -theorem -simplexCheaperThanCube - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.simplexCheaperThanCube - - -contains - - - -Semantics.Geometry.Cascade.triangleFewerFacetsThanTile - -theorem -triangleFewerFacetsThanTile - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.triangleFewerFacetsThanTile - - -contains - - - -Semantics.Geometry.Cascade.triangleCheaperThanTile - -theorem -triangleCheaperThanTile - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.triangleCheaperThanTile - - -contains - - - -Semantics.Geometry.Cascade.peakGreaterThanPreceding - -theorem -peakGreaterThanPreceding - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.peakGreaterThanPreceding - - -contains - - - -Semantics.Geometry.Cascade.cascadePathLength - -theorem -cascadePathLength - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.cascadePathLength - - -contains - - - -Semantics.Geometry.Cascade.cascadeTotalCostEqualsSum - -theorem -cascadeTotalCostEqualsSum - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.cascadeTotalCostEqualsSum - - -contains - - - -Semantics.Geometry.Cascade.simplexCost - -def -simplexCost - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.simplexCost - - -contains - - - -Semantics.Geometry.Cascade.cubeCost - -def -cubeCost - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.cubeCost - - -contains - - - -Semantics.Geometry.Cascade.xorAllFacets - -def -xorAllFacets - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.xorAllFacets - - -contains - - - -Semantics.Geometry.Cascade.uplift - -def -uplift - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.uplift - - -contains - - - -Semantics.Geometry.Cascade.upliftCost - -def -upliftCost - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.upliftCost - - -contains - - - -Semantics.Geometry.Cascade.stageDim - -def -stageDim - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.stageDim - - -contains - - - -Semantics.Geometry.Cascade.stageFacetCount - -def -stageFacetCount - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.stageFacetCount - - -contains - - - -Semantics.Geometry.Cascade.stageCost - -def -stageCost - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.stageCost - - -contains - - - -Semantics.Geometry.Cascade.cascadePath - -def -cascadePath - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.cascadePath - - -contains - - - -Semantics.Geometry.Cascade.cascadeTotalCost - -def -cascadeTotalCost - - - -Semantics.Geometry.Cascade->Semantics.Geometry.Cascade.cascadeTotalCost - - -contains - - - -Semantics.Geometry.CascadeBind - -module -CascadeBind - - - -Semantics.Geometry.CascadeBind.cascadeLawful - -def -cascadeLawful - - - -Semantics.Geometry.CascadeBind->Semantics.Geometry.CascadeBind.cascadeLawful - - -contains - - - -Semantics.Geometry.CascadeBind.cascadeCost - -def -cascadeCost - - - -Semantics.Geometry.CascadeBind->Semantics.Geometry.CascadeBind.cascadeCost - - -contains - - - -Semantics.Geometry.CascadeBind.cascadeInvariant - -def -cascadeInvariant - - - -Semantics.Geometry.CascadeBind->Semantics.Geometry.CascadeBind.cascadeInvariant - - -contains - - - -Semantics.Geometry.CascadeBind.behavioralLawful - -def -behavioralLawful - - - -Semantics.Geometry.CascadeBind->Semantics.Geometry.CascadeBind.behavioralLawful - - -contains - - - -Semantics.Geometry.CascadeBind.behavioralCost - -def -behavioralCost - - - -Semantics.Geometry.CascadeBind->Semantics.Geometry.CascadeBind.behavioralCost - - -contains - - - -Semantics.Geometry.CascadeBind.behavioralInvariant - -def -behavioralInvariant - - - -Semantics.Geometry.CascadeBind->Semantics.Geometry.CascadeBind.behavioralInvariant - - -contains - - - -Semantics.Geometry.CascadeDescent - -module -CascadeDescent - - - -Semantics.Geometry.CascadeDescent.validTriangleCorrect - -theorem -validTriangleCorrect - - - -Semantics.Geometry.CascadeDescent->Semantics.Geometry.CascadeDescent.validTriangleCorrect - - -contains - - - -Semantics.Geometry.CascadeDescent.descentProducesValid - -theorem -descentProducesValid - - - -Semantics.Geometry.CascadeDescent->Semantics.Geometry.CascadeDescent.descentProducesValid - - -contains - - - -Semantics.Geometry.CascadeDescent.composedTileFacetCount - -theorem -composedTileFacetCount - - - -Semantics.Geometry.CascadeDescent->Semantics.Geometry.CascadeDescent.composedTileFacetCount - - -contains - - - -Semantics.Geometry.CascadeDescent.isValidTriangle - -def -isValidTriangle - - - -Semantics.Geometry.CascadeDescent->Semantics.Geometry.CascadeDescent.isValidTriangle - - -contains - - - -Semantics.Geometry.CascadeDescent.composeTile - -def -composeTile - - - -Semantics.Geometry.CascadeDescent->Semantics.Geometry.CascadeDescent.composeTile - - -contains - - - -Semantics.Geometry.CascadeDescent.descendToTriangle - -def -descendToTriangle - - - -Semantics.Geometry.CascadeDescent->Semantics.Geometry.CascadeDescent.descendToTriangle - - -contains - - - -Semantics.Geometry.CascadeDescent.tileOuterEdges - -def -tileOuterEdges - - - -Semantics.Geometry.CascadeDescent->Semantics.Geometry.CascadeDescent.tileOuterEdges - - -contains - - - -Semantics.Geometry.ImplicitShellLattice - -module -ImplicitShellLattice - - - -Semantics.Geometry.ImplicitShellLattice.default - -def -default - - - -Semantics.Geometry.ImplicitShellLattice->Semantics.Geometry.ImplicitShellLattice.default - - -contains - - - -Semantics.Geometry.ImplicitShellLattice.toLatticeUV - -def -toLatticeUV - - - -Semantics.Geometry.ImplicitShellLattice->Semantics.Geometry.ImplicitShellLattice.toLatticeUV - - -contains - - - -Semantics.Geometry.ImplicitShellLattice.insideShell - -def -insideShell - - - -Semantics.Geometry.ImplicitShellLattice->Semantics.Geometry.ImplicitShellLattice.insideShell - - -contains - - - -Semantics.Geometry.ImplicitShellLattice.generateHybridToolpath - -def -generateHybridToolpath - - - -Semantics.Geometry.ImplicitShellLattice->Semantics.Geometry.ImplicitShellLattice.generateHybridToolpath - - -contains - - - -Semantics.Geometry.ImplicitShellLattice.stlMeshSize - -def -stlMeshSize - - - -Semantics.Geometry.ImplicitShellLattice->Semantics.Geometry.ImplicitShellLattice.stlMeshSize - - -contains - - - -Semantics.Geometry.ImplicitShellLattice.implicitSize - -def -implicitSize - - - -Semantics.Geometry.ImplicitShellLattice->Semantics.Geometry.ImplicitShellLattice.implicitSize - - -contains - - - -Semantics.Geometry.ImplicitShellLattice.memoryReductionFactor - -def -memoryReductionFactor - - - -Semantics.Geometry.ImplicitShellLattice->Semantics.Geometry.ImplicitShellLattice.memoryReductionFactor - - -contains - - - -Semantics.Geometry.ImplicitShellLattice.yieldStrengthImprovement - -def -yieldStrengthImprovement - - - -Semantics.Geometry.ImplicitShellLattice->Semantics.Geometry.ImplicitShellLattice.yieldStrengthImprovement - - -contains - - - -Semantics.Geometry.ImplicitShellLattice.elongationImprovement - -def -elongationImprovement - - - -Semantics.Geometry.ImplicitShellLattice->Semantics.Geometry.ImplicitShellLattice.elongationImprovement - - -contains - - - -Semantics.Geometry.ImplicitShellLattice.surfaceRoughnessRa - -def -surfaceRoughnessRa - - - -Semantics.Geometry.ImplicitShellLattice->Semantics.Geometry.ImplicitShellLattice.surfaceRoughnessRa - - -contains - - - -Semantics.Geometry.ImplicitShellLattice.toShellCell - -def -toShellCell - - - -Semantics.Geometry.ImplicitShellLattice->Semantics.Geometry.ImplicitShellLattice.toShellCell - - -contains - - - -Semantics.Geometry.ImplicitShellLattice.shellToNUVMAP - -def -shellToNUVMAP - - - -Semantics.Geometry.ImplicitShellLattice->Semantics.Geometry.ImplicitShellLattice.shellToNUVMAP - - -contains - - - -Semantics.Github - -module -Github - - - -Semantics.Github.githubPolicy - -def -githubPolicy - - - -Semantics.Github->Semantics.Github.githubPolicy - - -contains - - - -Semantics.Github.toSourceEvent - -def -toSourceEvent - - - -Semantics.Github->Semantics.Github.toSourceEvent - - -contains - - - -Semantics.Github.githubInvariant - -def -githubInvariant - - - -Semantics.Github->Semantics.Github.githubInvariant - - -contains - - - -Semantics.Github.githubCost - -def -githubCost - - - -Semantics.Github->Semantics.Github.githubCost - - -contains - - - -Semantics.Github.githubBind - -def -githubBind - - - -Semantics.Github->Semantics.Github.githubBind - - -contains - - - -Semantics.Github->Semantics.ProvenanceSource - - -imports - - - -Semantics.GlymphaticPumpConstraint - -module -GlymphaticPumpConstraint - - - -Semantics.GlymphaticPumpConstraint->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.GlymphaticPumpConstraint.safeCompressionWhenClearanceDominates - -theorem -safeCompressionWhenClearanceDominates - - - -Semantics.GlymphaticPumpConstraint->Semantics.GlymphaticPumpConstraint.safeCompressionWhenClearanceDominates - - -contains - - - -Semantics.GlymphaticPumpConstraint.microContractionRateHz - -def -microContractionRateHz - - - -Semantics.GlymphaticPumpConstraint->Semantics.GlymphaticPumpConstraint.microContractionRateHz - - -contains - - - -Semantics.GlymphaticPumpConstraint.glymphaticWaveRateHz - -def -glymphaticWaveRateHz - - - -Semantics.GlymphaticPumpConstraint->Semantics.GlymphaticPumpConstraint.glymphaticWaveRateHz - - -contains - - - -Semantics.GlymphaticPumpConstraint.pumpEfficacyRatio - -def -pumpEfficacyRatio - - - -Semantics.GlymphaticPumpConstraint->Semantics.GlymphaticPumpConstraint.pumpEfficacyRatio - - -contains - - - -Semantics.GlymphaticPumpConstraint.pumpPhaseDutyCycle - -def -pumpPhaseDutyCycle - - - -Semantics.GlymphaticPumpConstraint->Semantics.GlymphaticPumpConstraint.pumpPhaseDutyCycle - - -contains - - - -Semantics.GlymphaticPumpConstraint.safeCompressionWindowSeconds - -def -safeCompressionWindowSeconds - - - -Semantics.GlymphaticPumpConstraint->Semantics.GlymphaticPumpConstraint.safeCompressionWindowSeconds - - -contains - - - -Semantics.GlymphaticPumpConstraint.precisionTierForPhase - -def -precisionTierForPhase - - - -Semantics.GlymphaticPumpConstraint->Semantics.GlymphaticPumpConstraint.precisionTierForPhase - - -contains - - - -Semantics.GlymphaticPumpConstraint.compressionMultiplierForPhase - -def -compressionMultiplierForPhase - - - -Semantics.GlymphaticPumpConstraint->Semantics.GlymphaticPumpConstraint.compressionMultiplierForPhase - - -contains - - - -Semantics.GlymphaticPumpConstraint.weightedEffectiveMultiplier - -def -weightedEffectiveMultiplier - - - -Semantics.GlymphaticPumpConstraint->Semantics.GlymphaticPumpConstraint.weightedEffectiveMultiplier - - -contains - - - -Semantics.GlymphaticPumpConstraint.standardHydraulicBoundary - -def -standardHydraulicBoundary - - - -Semantics.GlymphaticPumpConstraint->Semantics.GlymphaticPumpConstraint.standardHydraulicBoundary - - -contains - - - -Semantics.GlymphaticPumpConstraint.glymphaticAdaptationVerdict - -def -glymphaticAdaptationVerdict - - - -Semantics.GlymphaticPumpConstraint->Semantics.GlymphaticPumpConstraint.glymphaticAdaptationVerdict - - -contains - - - -Semantics.GoldenAngleEncoding - -module -GoldenAngleEncoding - - - -Semantics.GoldenAngleEncoding.computedPhaseKeepsIndex - -theorem -computedPhaseKeepsIndex - - - -Semantics.GoldenAngleEncoding->Semantics.GoldenAngleEncoding.computedPhaseKeepsIndex - - -contains - - - -Semantics.GoldenAngleEncoding.samePhaseSynchronizes - -theorem -samePhaseSynchronizes - - - -Semantics.GoldenAngleEncoding->Semantics.GoldenAngleEncoding.samePhaseSynchronizes - - -contains - - - -Semantics.GoldenAngleEncoding.generatedSamplesHaveZeroTimestamp - -theorem -generatedSamplesHaveZeroTimestamp - - - -Semantics.GoldenAngleEncoding->Semantics.GoldenAngleEncoding.generatedSamplesHaveZeroTimestamp - - -contains - - - -Semantics.GoldenAngleEncoding.phaseModulus - -def -phaseModulus - - - -Semantics.GoldenAngleEncoding->Semantics.GoldenAngleEncoding.phaseModulus - - -contains - - - -Semantics.GoldenAngleEncoding.goldenAngleStep - -def -goldenAngleStep - - - -Semantics.GoldenAngleEncoding->Semantics.GoldenAngleEncoding.goldenAngleStep - - -contains - - - -Semantics.GoldenAngleEncoding.q0OfNatMod - -def -q0OfNatMod - - - -Semantics.GoldenAngleEncoding->Semantics.GoldenAngleEncoding.q0OfNatMod - - -contains - - - -Semantics.GoldenAngleEncoding.computeGoldenAnglePhase - -def -computeGoldenAnglePhase - - - -Semantics.GoldenAngleEncoding->Semantics.GoldenAngleEncoding.computeGoldenAnglePhase - - -contains - - - -Semantics.GoldenAngleEncoding.examplePhases - -def -examplePhases - - - -Semantics.GoldenAngleEncoding->Semantics.GoldenAngleEncoding.examplePhases - - -contains - - - -Semantics.GoldenAngleEncoding.phaseToSpherical - -def -phaseToSpherical - - - -Semantics.GoldenAngleEncoding->Semantics.GoldenAngleEncoding.phaseToSpherical - - -contains - - - -Semantics.GoldenAngleEncoding.generateWaveProbeSamples - -def -generateWaveProbeSamples - - - -Semantics.GoldenAngleEncoding->Semantics.GoldenAngleEncoding.generateWaveProbeSamples - - -contains - - - -Semantics.GoldenAngleEncoding.rawPhase - -def -rawPhase - - - -Semantics.GoldenAngleEncoding->Semantics.GoldenAngleEncoding.rawPhase - - -contains - - - -Semantics.GoldenAngleEncoding.cyclicDiff - -def -cyclicDiff - - - -Semantics.GoldenAngleEncoding->Semantics.GoldenAngleEncoding.cyclicDiff - - -contains - - - -Semantics.GoldenAngleEncoding.computePhaseDiff - -def -computePhaseDiff - - - -Semantics.GoldenAngleEncoding->Semantics.GoldenAngleEncoding.computePhaseDiff - - -contains - - - -Semantics.GoldenRatioSeparation - -module -GoldenRatioSeparation - - - -Semantics.GoldenRatioSeparation->Semantics.FixedPoint - - -imports - - - -Semantics.GoldenRatioSeparation.golden_angle_is_inverse_golden_ratio - -theorem -golden_angle_is_inverse_golden_ratio - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.golden_angle_is_inverse_golden_ratio - - -contains - - - -Semantics.GoldenRatioSeparation.golden_ratio_squared_eq_plus_one - -theorem -golden_ratio_squared_eq_plus_one - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.golden_ratio_squared_eq_plus_one - - -contains - - - -Semantics.GoldenRatioSeparation.golden_angle_at_separation_boundary - -theorem -golden_angle_at_separation_boundary - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.golden_angle_at_separation_boundary - - -contains - - - -Semantics.GoldenRatioSeparation.golden_angle_decodable - -theorem -golden_angle_decodable - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.golden_angle_decodable - - -contains - - - -Semantics.GoldenRatioSeparation.golden_angle_nontrivial - -theorem -golden_angle_nontrivial - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.golden_angle_nontrivial - - -contains - - - -Semantics.GoldenRatioSeparation.sidon_generator_coprime - -theorem -sidon_generator_coprime - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.sidon_generator_coprime - - -contains - - - -Semantics.GoldenRatioSeparation.singer_density_lt_golden - -theorem -singer_density_lt_golden - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.singer_density_lt_golden - - -contains - - - -Semantics.GoldenRatioSeparation.singer_implies_golden_angle_sidon - -theorem -singer_implies_golden_angle_sidon - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.singer_implies_golden_angle_sidon - - -contains - - - -Semantics.GoldenRatioSeparation.goldenRatio - -def -goldenRatio - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.goldenRatio - - -contains - - - -Semantics.GoldenRatioSeparation.goldenRatioInv - -def -goldenRatioInv - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.goldenRatioInv - - -contains - - - -Semantics.GoldenRatioSeparation.goldenRatioSquared - -def -goldenRatioSquared - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.goldenRatioSquared - - -contains - - - -Semantics.GoldenRatioSeparation.unitSeparated - -def -unitSeparated - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.unitSeparated - - -contains - - - -Semantics.GoldenRatioSeparation.sidonGenerator - -def -sidonGenerator - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.sidonGenerator - - -contains - - - -Semantics.GoldenRatioSeparation.slotDensityImprovement - -def -slotDensityImprovement - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.slotDensityImprovement - - -contains - - - -Semantics.GoldenRatioSeparation.singerModulus2 - -def -singerModulus2 - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.singerModulus2 - - -contains - - - -Semantics.GoldenRatioSeparation.singerCard2 - -def -singerCard2 - - - -Semantics.GoldenRatioSeparation->Semantics.GoldenRatioSeparation.singerCard2 - - -contains - - - -Semantics.GoldenSpiralManifold - -module -GoldenSpiralManifold - - - -Semantics.GoldenSpiralManifold.spiralLayerIncreases - -theorem -spiralLayerIncreases - - - -Semantics.GoldenSpiralManifold->Semantics.GoldenSpiralManifold.spiralLayerIncreases - - -contains - - - -Semantics.GoldenSpiralManifold.goldenAssignmentLayerNonNeg - -theorem -goldenAssignmentLayerNonNeg - - - -Semantics.GoldenSpiralManifold->Semantics.GoldenSpiralManifold.goldenAssignmentLayerNonNeg - - -contains - - - -Semantics.GoldenSpiralManifold.goldenRatio - -def -goldenRatio - - - -Semantics.GoldenSpiralManifold->Semantics.GoldenSpiralManifold.goldenRatio - - -contains - - - -Semantics.GoldenSpiralManifold.goldenAngleDeg - -def -goldenAngleDeg - - - -Semantics.GoldenSpiralManifold->Semantics.GoldenSpiralManifold.goldenAngleDeg - - -contains - - - -Semantics.GoldenSpiralManifold.spiralCoords - -def -spiralCoords - - - -Semantics.GoldenSpiralManifold->Semantics.GoldenSpiralManifold.spiralCoords - - -contains - - - -Semantics.GoldenSpiralManifold.goldenAssignment - -def -goldenAssignment - - - -Semantics.GoldenSpiralManifold->Semantics.GoldenSpiralManifold.goldenAssignment - - -contains - - - -Semantics.GoldenSpiralManifold.initCenterlessManifold - -def -initCenterlessManifold - - - -Semantics.GoldenSpiralManifold->Semantics.GoldenSpiralManifold.initCenterlessManifold - - -contains - - - -Semantics.GoldenSpiralNavigation - -module -GoldenSpiralNavigation - - - -Semantics.GoldenSpiralNavigation.golden_angle_approx_137_5 - -theorem -golden_angle_approx_137_5 - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.golden_angle_approx_137_5 - - -contains - - - -Semantics.GoldenSpiralNavigation.goldenAngle - -def -goldenAngle - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.goldenAngle - - -contains - - - -Semantics.GoldenSpiralNavigation.goldenAngleDegrees - -def -goldenAngleDegrees - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.goldenAngleDegrees - - -contains - - - -Semantics.GoldenSpiralNavigation.spiralToCartesian - -def -spiralToCartesian - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.spiralToCartesian - - -contains - - - -Semantics.GoldenSpiralNavigation.cartesianToSpiral - -def -cartesianToSpiral - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.cartesianToSpiral - - -contains - - - -Semantics.GoldenSpiralNavigation.phinaryToSpiral - -def -phinaryToSpiral - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.phinaryToSpiral - - -contains - - - -Semantics.GoldenSpiralNavigation.batchPhinaryToSpiral - -def -batchPhinaryToSpiral - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.batchPhinaryToSpiral - - -contains - - - -Semantics.GoldenSpiralNavigation.manifoldToSpiral - -def -manifoldToSpiral - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.manifoldToSpiral - - -contains - - - -Semantics.GoldenSpiralNavigation.spiralStep5D - -def -spiralStep5D - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.spiralStep5D - - -contains - - - -Semantics.GoldenSpiralNavigation.initNavigator - -def -initNavigator - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.initNavigator - - -contains - - - -Semantics.GoldenSpiralNavigation.advanceNavigator - -def -advanceNavigator - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.advanceNavigator - - -contains - - - -Semantics.GoldenSpiralNavigation.withinRadius - -def -withinRadius - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.withinRadius - - -contains - - - -Semantics.GoldenSpiralNavigation.spiralSearch - -def -spiralSearch - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.spiralSearch - - -contains - - - -Semantics.GoldenSpiralNavigation.spiral_radius_monotonic - -def -spiral_radius_monotonic - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.spiral_radius_monotonic - - -contains - - - -Semantics.GoldenSpiralNavigation.spiral_angle_increment - -def -spiral_angle_increment - - - -Semantics.GoldenSpiralNavigation->Semantics.GoldenSpiralNavigation.spiral_angle_increment - - -contains - - - -Semantics.GoormaghtighCert - -module -GoormaghtighCert - - - -Semantics.GoormaghtighCert.validationCert1 - -def -validationCert1 - - - -Semantics.GoormaghtighCert->Semantics.GoormaghtighCert.validationCert1 - - -contains - - - -Semantics.GoormaghtighCert.validationCert2 - -def -validationCert2 - - - -Semantics.GoormaghtighCert->Semantics.GoormaghtighCert.validationCert2 - - -contains - - - -Semantics.GoormaghtighCert.validationCert3 - -def -validationCert3 - - - -Semantics.GoormaghtighCert->Semantics.GoormaghtighCert.validationCert3 - - -contains - - - -Semantics.GoormaghtighCert.validationCert4 - -def -validationCert4 - - - -Semantics.GoormaghtighCert->Semantics.GoormaghtighCert.validationCert4 - - -contains - - - -Semantics.GoormaghtighCert.validationCertWrong - -def -validationCertWrong - - - -Semantics.GoormaghtighCert->Semantics.GoormaghtighCert.validationCertWrong - - -contains - - - -Semantics.GoormaghtighCert.goormaghtighConstraints - -def -goormaghtighConstraints - - - -Semantics.GoormaghtighCert->Semantics.GoormaghtighCert.goormaghtighConstraints - - -contains - - - -Semantics.GoormaghtighCert.goormaghtighTestCert - -def -goormaghtighTestCert - - - -Semantics.GoormaghtighCert->Semantics.GoormaghtighCert.goormaghtighTestCert - - -contains - - - -Semantics.GoormaghtighCert.goormaghtighFullCert - -def -goormaghtighFullCert - - - -Semantics.GoormaghtighCert->Semantics.GoormaghtighCert.goormaghtighFullCert - - -contains - - - -Semantics.GoormaghtighEnumeration - -module -GoormaghtighEnumeration - - - -Semantics.GoormaghtighEnumeration.repunit_2_5 - -theorem -repunit_2_5 - - - -Semantics.GoormaghtighEnumeration->Semantics.GoormaghtighEnumeration.repunit_2_5 - - -contains - - - -Semantics.GoormaghtighEnumeration.repunit_5_3 - -theorem -repunit_5_3 - - - -Semantics.GoormaghtighEnumeration->Semantics.GoormaghtighEnumeration.repunit_5_3 - - -contains - - - -Semantics.GoormaghtighEnumeration.repunit_2_13 - -theorem -repunit_2_13 - - - -Semantics.GoormaghtighEnumeration->Semantics.GoormaghtighEnumeration.repunit_2_13 - - -contains - - - -Semantics.GoormaghtighEnumeration.repunit_90_3 - -theorem -repunit_90_3 - - - -Semantics.GoormaghtighEnumeration->Semantics.GoormaghtighEnumeration.repunit_90_3 - - -contains - - - -Semantics.GoormaghtighEnumeration.goormaghtigh_col_31 - -theorem -goormaghtigh_col_31 - - - -Semantics.GoormaghtighEnumeration->Semantics.GoormaghtighEnumeration.goormaghtigh_col_31 - - -contains - - - -Semantics.GoormaghtighEnumeration.goormaghtigh_col_8191 - -theorem -goormaghtigh_col_8191 - - - -Semantics.GoormaghtighEnumeration->Semantics.GoormaghtighEnumeration.goormaghtigh_col_8191 - - -contains - - - -Semantics.GoormaghtighEnumeration.goormaghtigh_bounded_uniqueness - -theorem -goormaghtigh_bounded_uniqueness - - - -Semantics.GoormaghtighEnumeration->Semantics.GoormaghtighEnumeration.goormaghtigh_bounded_uniqueness - - -contains - - - -Semantics.GoormaghtighEnumeration.goormaghtigh_value_31_or_8191 - -theorem -goormaghtigh_value_31_or_8191 - - - -Semantics.GoormaghtighEnumeration->Semantics.GoormaghtighEnumeration.goormaghtigh_value_31_or_8191 - - -contains - - - -Semantics.GoormaghtighEnumeration.goormaghtigh_conditional - -theorem -goormaghtigh_conditional - - - -Semantics.GoormaghtighEnumeration->Semantics.GoormaghtighEnumeration.goormaghtigh_conditional - - -contains - - - -Semantics.GoormaghtighEnumeration.goormaghtigh_x2_n3 - -theorem -goormaghtigh_x2_n3 - - - -Semantics.GoormaghtighEnumeration->Semantics.GoormaghtighEnumeration.goormaghtigh_x2_n3 - - -contains - - - -Semantics.GoormaghtighEnumeration.goormaghtigh_complete - -theorem -goormaghtigh_complete - - - -Semantics.GoormaghtighEnumeration->Semantics.GoormaghtighEnumeration.goormaghtigh_complete - - -contains - - - -Semantics.GoormaghtighEnumeration.goormaghtigh_conjecture - -theorem -goormaghtigh_conjecture - - - -Semantics.GoormaghtighEnumeration->Semantics.GoormaghtighEnumeration.goormaghtigh_conjecture - - -contains - - - -Semantics.GoormaghtighEnumeration.goormaghtigh_sparse - -theorem -goormaghtigh_sparse - - - -Semantics.GoormaghtighEnumeration->Semantics.GoormaghtighEnumeration.goormaghtigh_sparse - - -contains - - - -Semantics.GoormaghtighEnumeration.repunit - -def -repunit - - - -Semantics.GoormaghtighEnumeration->Semantics.GoormaghtighEnumeration.repunit - - -contains - - - -Semantics.GossipFlipMessage - -module -GossipFlipMessage - - - -Semantics.GossipFlipMessage.discoveryMessageHasDiscoveryType - -theorem -discoveryMessageHasDiscoveryType - - - -Semantics.GossipFlipMessage->Semantics.GossipFlipMessage.discoveryMessageHasDiscoveryType - - -contains - - - -Semantics.GossipFlipMessage.consensusVoteMessageHasVoteField - -theorem -consensusVoteMessageHasVoteField - - - -Semantics.GossipFlipMessage->Semantics.GossipFlipMessage.consensusVoteMessageHasVoteField - - -contains - - - -Semantics.GossipFlipMessage.zero - -def -zero - - - -Semantics.GossipFlipMessage->Semantics.GossipFlipMessage.zero - - -contains - - - -Semantics.GossipFlipMessage.one - -def -one - - - -Semantics.GossipFlipMessage->Semantics.GossipFlipMessage.one - - -contains - - - -Semantics.GossipFlipMessage.ofFrac - -def -ofFrac - - - -Semantics.GossipFlipMessage->Semantics.GossipFlipMessage.ofFrac - - -contains - - - -Semantics.GossipFlipMessage.createDiscoveryMessage - -def -createDiscoveryMessage - - - -Semantics.GossipFlipMessage->Semantics.GossipFlipMessage.createDiscoveryMessage - - -contains - - - -Semantics.GossipFlipMessage.createHeartbeatMessage - -def -createHeartbeatMessage - - - -Semantics.GossipFlipMessage->Semantics.GossipFlipMessage.createHeartbeatMessage - - -contains - - - -Semantics.GossipFlipMessage.createCredentialSyncMessage - -def -createCredentialSyncMessage - - - -Semantics.GossipFlipMessage->Semantics.GossipFlipMessage.createCredentialSyncMessage - - -contains - - - -Semantics.GossipFlipMessage.createReplicateMessage - -def -createReplicateMessage - - - -Semantics.GossipFlipMessage->Semantics.GossipFlipMessage.createReplicateMessage - - -contains - - - -Semantics.GossipFlipMessage.createCredentialRotationProposalMessage - -def -createCredentialRotationProposalMessage - - - -Semantics.GossipFlipMessage->Semantics.GossipFlipMessage.createCredentialRotationProposalMessage - - -contains - - - -Semantics.GossipFlipMessage.createConsensusVoteMessage - -def -createConsensusVoteMessage - - - -Semantics.GossipFlipMessage->Semantics.GossipFlipMessage.createConsensusVoteMessage - - -contains - - - -Semantics.Goxel - -module -Goxel - - - -Semantics.Goxel.origin_inside_example - -theorem -origin_inside_example - - - -Semantics.Goxel->Semantics.Goxel.origin_inside_example - - -contains - - - -Semantics.Goxel.boundary_is_boundary_example - -theorem -boundary_is_boundary_example - - - -Semantics.Goxel->Semantics.Goxel.boundary_is_boundary_example - - -contains - - - -Semantics.Goxel.outside_not_inside_example - -theorem -outside_not_inside_example - - - -Semantics.Goxel->Semantics.Goxel.outside_not_inside_example - - -contains - - - -Semantics.Goxel.example_admissible - -theorem -example_admissible - - - -Semantics.Goxel->Semantics.Goxel.example_admissible - - -contains - - - -Semantics.Goxel.residual_example - -theorem -residual_example - - - -Semantics.Goxel->Semantics.Goxel.residual_example - - -contains - - - -Semantics.Goxel.cost_example - -theorem -cost_example - - - -Semantics.Goxel->Semantics.Goxel.cost_example - - -contains - - - -Semantics.Goxel.talagrand_cover_example - -theorem -talagrand_cover_example - - - -Semantics.Goxel->Semantics.Goxel.talagrand_cover_example - - -contains - - - -Semantics.Goxel.bind_admissible_example - -theorem -bind_admissible_example - - - -Semantics.Goxel->Semantics.Goxel.bind_admissible_example - - -contains - - - -Semantics.Goxel.talagrandConvexityAnchor - -def -talagrandConvexityAnchor - - - -Semantics.Goxel->Semantics.Goxel.talagrandConvexityAnchor - - -contains - - - -Semantics.Goxel.talagrandClaimBoundary - -def -talagrandClaimBoundary - - - -Semantics.Goxel->Semantics.Goxel.talagrandClaimBoundary - - -contains - - - -Semantics.Goxel.unitWeights - -def -unitWeights - - - -Semantics.Goxel->Semantics.Goxel.unitWeights - - -contains - - - -Semantics.Goxel.goxelPotential - -def -goxelPotential - - - -Semantics.Goxel->Semantics.Goxel.goxelPotential - - -contains - - - -Semantics.Goxel.insideGoxel - -def -insideGoxel - - - -Semantics.Goxel->Semantics.Goxel.insideGoxel - - -contains - - - -Semantics.Goxel.GoxelWitness - -def -GoxelWitness - - - -Semantics.Goxel->Semantics.Goxel.GoxelWitness - - -contains - - - -Semantics.Goxel.Goxel - -def -Goxel - - - -Semantics.Goxel->Semantics.Goxel.Goxel - - -contains - - - -Semantics.Goxel->Semantics.Goxel.Goxel - - -contains - - - -Semantics.Goxel.finiteVolumeWitness - -def -finiteVolumeWitness - - - -Semantics.Goxel->Semantics.Goxel.finiteVolumeWitness - - -contains - - - -Semantics.Goxel.nonemptyDomainWitness - -def -nonemptyDomainWitness - - - -Semantics.Goxel->Semantics.Goxel.nonemptyDomainWitness - - -contains - - - -Semantics.Goxel.admissibleGoxel - -def -admissibleGoxel - - - -Semantics.Goxel->Semantics.Goxel.admissibleGoxel - - -contains - - - -Semantics.Goxel.residualCost - -def -residualCost - - - -Semantics.Goxel->Semantics.Goxel.residualCost - - -contains - - - -Semantics.Goxel.goxelCost - -def -goxelCost - - - -Semantics.Goxel->Semantics.Goxel.goxelCost - - -contains - - - -Semantics.Goxel.TalagrandCoverWitness - -def -TalagrandCoverWitness - - - -Semantics.Goxel->Semantics.Goxel.TalagrandCoverWitness - - -contains - - - -Semantics.Goxel.mergeDistance - -def -mergeDistance - - - -Semantics.Goxel->Semantics.Goxel.mergeDistance - - -contains - - - -Semantics.Goxel.bindAdmissible - -def -bindAdmissible - - - -Semantics.Goxel->Semantics.Goxel.bindAdmissible - - -contains - - - -Semantics.Goxel.mergePotential - -def -mergePotential - - - -Semantics.Goxel->Semantics.Goxel.mergePotential - - -contains - - - -Semantics.Goxel.GoxelTransition - -def -GoxelTransition - - - -Semantics.Goxel->Semantics.Goxel.GoxelTransition - - -contains - - - -Semantics.Goxel.originPoint - -def -originPoint - - - -Semantics.Goxel->Semantics.Goxel.originPoint - - -contains - - - -Semantics.Goxel.boundaryPoint - -def -boundaryPoint - - - -Semantics.Goxel->Semantics.Goxel.boundaryPoint - - -contains - - - -Semantics.GoxelGridBus - -module -GoxelGridBus - - - -Semantics.GoxelGridBus.serialRoundtripPreservesTarget - -theorem -serialRoundtripPreservesTarget - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.serialRoundtripPreservesTarget - - -contains - - - -Semantics.GoxelGridBus.serialRoundtripPreservesCommand - -theorem -serialRoundtripPreservesCommand - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.serialRoundtripPreservesCommand - - -contains - - - -Semantics.GoxelGridBus.targetedPacketActivatesAndConsumes - -theorem -targetedPacketActivatesAndConsumes - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.targetedPacketActivatesAndConsumes - - -contains - - - -Semantics.GoxelGridBus.unmatchedPacketForwards - -theorem -unmatchedPacketForwards - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.unmatchedPacketForwards - - -contains - - - -Semantics.GoxelGridBus.holdCommandSetsHoldPhase - -theorem -holdCommandSetsHoldPhase - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.holdCommandSetsHoldPhase - - -contains - - - -Semantics.GoxelGridBus.toByte - -def -toByte - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.toByte - - -contains - - - -Semantics.GoxelGridBus.ofByte - -def -ofByte - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.ofByte - - -contains - - - -Semantics.GoxelGridBus.zero - -def -zero - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.zero - - -contains - - - -Semantics.GoxelGridBus.seqNum - -def -seqNum - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.seqNum - - -contains - - - -Semantics.GoxelGridBus.fromSeqNum - -def -fromSeqNum - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.fromSeqNum - - -contains - - - -Semantics.GoxelGridBus.empty - -def -empty - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.empty - - -contains - - - -Semantics.GoxelGridBus.idle - -def -idle - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.idle - - -contains - - - -Semantics.GoxelGridBus.toSerialPacket - -def -toSerialPacket - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.toSerialPacket - - -contains - - - -Semantics.GoxelGridBus.byteAt - -def -byteAt - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.byteAt - - -contains - - - -Semantics.GoxelGridBus.fromSerialPacket - -def -fromSerialPacket - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.fromSerialPacket - - -contains - - - -Semantics.GoxelGridBus.encodeFrame - -def -encodeFrame - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.encodeFrame - - -contains - - - -Semantics.GoxelGridBus.decodeFrame - -def -decodeFrame - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.decodeFrame - - -contains - - - -Semantics.GoxelGridBus.applyCommand - -def -applyCommand - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.applyCommand - - -contains - - - -Semantics.GoxelGridBus.cellBusStep - -def -cellBusStep - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.cellBusStep - - -contains - - - -Semantics.GoxelGridBus.addrOfIndex - -def -addrOfIndex - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.addrOfIndex - - -contains - - - -Semantics.GoxelGridBus.mkIdle - -def -mkIdle - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.mkIdle - - -contains - - - -Semantics.GoxelGridBus.cellAt - -def -cellAt - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.cellAt - - -contains - - - -Semantics.GoxelGridBus.routePacket - -def -routePacket - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.routePacket - - -contains - - - -Semantics.GoxelGridBus.witnessActivatePacket - -def -witnessActivatePacket - - - -Semantics.GoxelGridBus->Semantics.GoxelGridBus.witnessActivatePacket - - -contains - - - -Semantics.GpuDutyAssignment - -module -GpuDutyAssignment - - - -Semantics.GpuDutyAssignment.emptySystemHasNoAssignments - -theorem -emptySystemHasNoAssignments - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.emptySystemHasNoAssignments - - -contains - - - -Semantics.GpuDutyAssignment.statisticsEqualsAssignments - -theorem -statisticsEqualsAssignments - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.statisticsEqualsAssignments - - -contains - - - -Semantics.GpuDutyAssignment.zero - -def -zero - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.zero - - -contains - - - -Semantics.GpuDutyAssignment.one - -def -one - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.one - - -contains - - - -Semantics.GpuDutyAssignment.ofNat - -def -ofNat - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.ofNat - - -contains - - - -Semantics.GpuDutyAssignment.toString - -def -toString - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.toString - - -contains - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.toString - - -contains - - - -Semantics.GpuDutyAssignment.empty - -def -empty - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.empty - - -contains - - - -Semantics.GpuDutyAssignment.assignDuty - -def -assignDuty - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.assignDuty - - -contains - - - -Semantics.GpuDutyAssignment.startDuty - -def -startDuty - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.startDuty - - -contains - - - -Semantics.GpuDutyAssignment.completeDuty - -def -completeDuty - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.completeDuty - - -contains - - - -Semantics.GpuDutyAssignment.failDuty - -def -failDuty - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.failDuty - - -contains - - - -Semantics.GpuDutyAssignment.getPendingDuties - -def -getPendingDuties - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.getPendingDuties - - -contains - - - -Semantics.GpuDutyAssignment.getStatistics - -def -getStatistics - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.getStatistics - - -contains - - - -Semantics.GpuDutyAssignment.createGpuExpert - -def -createGpuExpert - - - -Semantics.GpuDutyAssignment->Semantics.GpuDutyAssignment.createGpuExpert - - -contains - - - -Semantics.GradientPathMap - -module -GradientPathMap - - - -Semantics.GradientPathMap->Mathlib.Tactic - - -imports - - - -Semantics.GradientPathMap.pathCost_eq_totalGradient - -theorem -pathCost_eq_totalGradient - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.pathCost_eq_totalGradient - - -contains - - - -Semantics.GradientPathMap.emptyPathZeroGradient - -theorem -emptyPathZeroGradient - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.emptyPathZeroGradient - - -contains - - - -Semantics.GradientPathMap.lawfulConnectionCost_le_unit - -theorem -lawfulConnectionCost_le_unit - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.lawfulConnectionCost_le_unit - - -contains - - - -Semantics.GradientPathMap.samplePathsLawful - -theorem -samplePathsLawful - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.samplePathsLawful - - -contains - - - -Semantics.GradientPathMap.forestMapHasConnections - -theorem -forestMapHasConnections - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.forestMapHasConnections - - -contains - - - -Semantics.GradientPathMap.forestMapPathsLawful - -theorem -forestMapPathsLawful - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.forestMapPathsLawful - - -contains - - - -Semantics.GradientPathMap.samplePathZero_cost_eq_600 - -theorem -samplePathZero_cost_eq_600 - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.samplePathZero_cost_eq_600 - - -contains - - - -Semantics.GradientPathMap.mofPath2_cost_eq_600 - -theorem -mofPath2_cost_eq_600 - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.mofPath2_cost_eq_600 - - -contains - - - -Semantics.GradientPathMap.mofPath3_cost_eq_150 - -theorem -mofPath3_cost_eq_150 - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.mofPath3_cost_eq_150 - - -contains - - - -Semantics.GradientPathMap.affinePath4_cost_eq_550 - -theorem -affinePath4_cost_eq_550 - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.affinePath4_cost_eq_550 - - -contains - - - -Semantics.GradientPathMap.affinePath5_cost_eq_200 - -theorem -affinePath5_cost_eq_200 - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.affinePath5_cost_eq_200 - - -contains - - - -Semantics.GradientPathMap.equationConnectionLawful - -def -equationConnectionLawful - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.equationConnectionLawful - - -contains - - - -Semantics.GradientPathMap.equationConnectionBind - -def -equationConnectionBind - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.equationConnectionBind - - -contains - - - -Semantics.GradientPathMap.equationConnectionCost - -def -equationConnectionCost - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.equationConnectionCost - - -contains - - - -Semantics.GradientPathMap.gradientPathLawful - -def -gradientPathLawful - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.gradientPathLawful - - -contains - - - -Semantics.GradientPathMap.gradientPathBind - -def -gradientPathBind - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.gradientPathBind - - -contains - - - -Semantics.GradientPathMap.computeTotalGradientChange - -def -computeTotalGradientChange - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.computeTotalGradientChange - - -contains - - - -Semantics.GradientPathMap.gradientPathCost - -def -gradientPathCost - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.gradientPathCost - - -contains - - - -Semantics.GradientPathMap.couchToFrame - -def -couchToFrame - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.couchToFrame - - -contains - - - -Semantics.GradientPathMap.loadToCognitive - -def -loadToCognitive - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.loadToCognitive - - -contains - - - -Semantics.GradientPathMap.pressureToHugoniot - -def -pressureToHugoniot - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.pressureToHugoniot - - -contains - - - -Semantics.GradientPathMap.mof2eCO_to_6eCH3OH - -def -mof2eCO_to_6eCH3OH - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.mof2eCO_to_6eCH3OH - - -contains - - - -Semantics.GradientPathMap.mof6eCH3OH_to_8eCH4 - -def -mof6eCH3OH_to_8eCH4 - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.mof6eCH3OH_to_8eCH4 - - -contains - - - -Semantics.GradientPathMap.mof2eHCOOH_to_2eCO - -def -mof2eHCOOH_to_2eCO - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.mof2eHCOOH_to_2eCO - - -contains - - - -Semantics.GradientPathMap.affineLinear_to_decomposition - -def -affineLinear_to_decomposition - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.affineLinear_to_decomposition - - -contains - - - -Semantics.GradientPathMap.affineDecomposition_to_periodic - -def -affineDecomposition_to_periodic - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.affineDecomposition_to_periodic - - -contains - - - -Semantics.GradientPathMap.affinePeriodic_to_scaled - -def -affinePeriodic_to_scaled - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.affinePeriodic_to_scaled - - -contains - - - -Semantics.GradientPathMap.sampleForestPaths - -def -sampleForestPaths - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.sampleForestPaths - - -contains - - - -Semantics.GradientPathMap.forestGradientPathMap - -def -forestGradientPathMap - - - -Semantics.GradientPathMap->Semantics.GradientPathMap.forestGradientPathMap - - -contains - - - -Semantics.Graph - -module -Graph - - - -Semantics.Graph->Semantics.Atoms - - -imports - - - -Semantics.Graph.Graph - -def -Graph - - - -Semantics.Graph->Semantics.Graph.Graph - - -contains - - - -Semantics.Graph->Semantics.Graph.Graph - - -contains - - - -Semantics.Graph->Semantics.Graph.Graph - - -contains - - - -Semantics.Graph->Semantics.Graph.Graph - - -contains - - - -Semantics.Graph->Semantics.Graph.Graph - - -contains - - - -Semantics.Graph->Semantics.Graph.Graph - - -contains - - - -Semantics.Graph->Semantics.Graph.Graph - - -contains - - - -Semantics.Graph->Semantics.Graph.Graph - - -contains - - - -Semantics.Graph->Semantics.Graph.Graph - - -contains - - - -Semantics.Graph.atomLabel - -def -atomLabel - - - -Semantics.Graph->Semantics.Graph.atomLabel - - -contains - - - -Semantics.GraphRank - -module -GraphRank - - - -Semantics.GraphRank.badLink_decidable - -theorem -badLink_decidable - - - -Semantics.GraphRank->Semantics.GraphRank.badLink_decidable - - -contains - - - -Semantics.GraphRank.isClean_decidable - -theorem -isClean_decidable - - - -Semantics.GraphRank->Semantics.GraphRank.isClean_decidable - - -contains - - - -Semantics.GraphRank.activeBins_empty - -theorem -activeBins_empty - - - -Semantics.GraphRank->Semantics.GraphRank.activeBins_empty - - -contains - - - -Semantics.GraphRank.cleanMerge_preservesGap - -theorem -cleanMerge_preservesGap - - - -Semantics.GraphRank->Semantics.GraphRank.cleanMerge_preservesGap - - -contains - - - -Semantics.GraphRank.SocialGraph - -def -SocialGraph - - - -Semantics.GraphRank->Semantics.GraphRank.SocialGraph - - -contains - - - -Semantics.GraphRank->Semantics.GraphRank.SocialGraph - - -contains - - - -Semantics.GraphRank->Semantics.GraphRank.SocialGraph - - -contains - - - -Semantics.GraphRank->Semantics.GraphRank.SocialGraph - - -contains - - - -Semantics.GraphRank->Semantics.GraphRank.SocialGraph - - -contains - - - -Semantics.GraphRank.maxActiveBins - -def -maxActiveBins - - - -Semantics.GraphRank->Semantics.GraphRank.maxActiveBins - - -contains - - - -Semantics.GraphRank.badLink - -def -badLink - - - -Semantics.GraphRank->Semantics.GraphRank.badLink - - -contains - - - -Semantics.GraphRank.pprStep - -def -pprStep - - - -Semantics.GraphRank->Semantics.GraphRank.pprStep - - -contains - - - -Semantics.GraphRank.initScores - -def -initScores - - - -Semantics.GraphRank->Semantics.GraphRank.initScores - - -contains - - - -Semantics.GraphRank.pprRun - -def -pprRun - - - -Semantics.GraphRank->Semantics.GraphRank.pprRun - - -contains - - - -Semantics.GraphRank.modeScore - -def -modeScore - - - -Semantics.GraphRank->Semantics.GraphRank.modeScore - - -contains - - - -Semantics.GraphRank.spectralScore - -def -spectralScore - - - -Semantics.GraphRank->Semantics.GraphRank.spectralScore - - -contains - - - -Semantics.GraphRank.insertDesc - -def -insertDesc - - - -Semantics.GraphRank->Semantics.GraphRank.insertDesc - - -contains - - - -Semantics.GraphRank.sortDesc - -def -sortDesc - - - -Semantics.GraphRank->Semantics.GraphRank.sortDesc - - -contains - - - -Semantics.GraphRank.rankNodes - -def -rankNodes - - - -Semantics.GraphRank->Semantics.GraphRank.rankNodes - - -contains - - - -Semantics.Spectrum - -module -Spectrum - - - -Semantics.GraphRank->Semantics.Spectrum - - -imports - - - -Semantics.HCMMR.Bridge - -module -Bridge - - - -Semantics.HCMMR.Bridge.foldDecision_roundtrip - -theorem -foldDecision_roundtrip - - - -Semantics.HCMMR.Bridge->Semantics.HCMMR.Bridge.foldDecision_roundtrip - - -contains - - - -Semantics.HCMMR.Bridge.foldDecision_roundtrip_admit - -theorem -foldDecision_roundtrip_admit - - - -Semantics.HCMMR.Bridge->Semantics.HCMMR.Bridge.foldDecision_roundtrip_admit - - -contains - - - -Semantics.HCMMR.Bridge.foldDecision_roundtrip_reject - -theorem -foldDecision_roundtrip_reject - - - -Semantics.HCMMR.Bridge->Semantics.HCMMR.Bridge.foldDecision_roundtrip_reject - - -contains - - - -Semantics.HCMMR.Bridge.foldDecision_roundtrip_hold - -theorem -foldDecision_roundtrip_hold - - - -Semantics.HCMMR.Bridge->Semantics.HCMMR.Bridge.foldDecision_roundtrip_hold - - -contains - - - -Semantics.HCMMR.Bridge.gateVerdictFromFoldDecision - -def -gateVerdictFromFoldDecision - - - -Semantics.HCMMR.Bridge->Semantics.HCMMR.Bridge.gateVerdictFromFoldDecision - - -contains - - - -Semantics.HCMMR.Bridge.foldDecisionFromGateVerdict - -def -foldDecisionFromGateVerdict - - - -Semantics.HCMMR.Bridge->Semantics.HCMMR.Bridge.foldDecisionFromGateVerdict - - -contains - - - -Semantics.HCMMR.Bridge.gateChainFromGateOutcomeList - -def -gateChainFromGateOutcomeList - - - -Semantics.HCMMR.Bridge->Semantics.HCMMR.Bridge.gateChainFromGateOutcomeList - - -contains - - - -Semantics.HCMMR.Bridge.bindMetricToGate - -def -bindMetricToGate - - - -Semantics.HCMMR.Bridge->Semantics.HCMMR.Bridge.bindMetricToGate - - -contains - - - -Semantics.HCMMR.Core - -module -Core - - - -Semantics.HCMMR.Bridge->Semantics.HCMMR.Core - - -imports - - - -Semantics.HCMMR.Core.gate_chain_all_admit - -theorem -gate_chain_all_admit - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.gate_chain_all_admit - - -contains - - - -Semantics.HCMMR.Core.gate_chain_one_rejects - -theorem -gate_chain_one_rejects - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.gate_chain_one_rejects - - -contains - - - -Semantics.HCMMR.Core.gate_chain_one_holds - -theorem -gate_chain_one_holds - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.gate_chain_one_holds - - -contains - - - -Semantics.HCMMR.Core.gate_chain_optional_reject_ignored - -theorem -gate_chain_optional_reject_ignored - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.gate_chain_optional_reject_ignored - - -contains - - - -Semantics.HCMMR.Core.eigenmass_zero_on_any_gate_failure - -theorem -eigenmass_zero_on_any_gate_failure - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.eigenmass_zero_on_any_gate_failure - - -contains - - - -Semantics.HCMMR.Core.eigenmass_signed_identity - -theorem -eigenmass_signed_identity - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.eigenmass_signed_identity - - -contains - - - -Semantics.HCMMR.Core.eigenmass_product_residual_dampens - -theorem -eigenmass_product_residual_dampens - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.eigenmass_product_residual_dampens - - -contains - - - -Semantics.HCMMR.Core.gateChainVerdict - -def -gateChainVerdict - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.gateChainVerdict - - -contains - - - -Semantics.HCMMR.Core.eigenmassProduct - -def -eigenmassProduct - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.eigenmassProduct - - -contains - - - -Semantics.HCMMR.Core.eigenmassSigned - -def -eigenmassSigned - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.eigenmassSigned - - -contains - - - -Semantics.HCMMR.Core.canonicalFixture - -def -canonicalFixture - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.canonicalFixture - - -contains - - - -Semantics.HCMMR.Core.fullyAdmittingOperator - -def -fullyAdmittingOperator - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.fullyAdmittingOperator - - -contains - - - -Semantics.HCMMR.Core.receiptFailureOperator - -def -receiptFailureOperator - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.receiptFailureOperator - - -contains - - - -Semantics.HCMMR.Core.fullyAdmittingChain - -def -fullyAdmittingChain - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.fullyAdmittingChain - - -contains - - - -Semantics.HCMMR.Core.chiralityHoldChain - -def -chiralityHoldChain - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.chiralityHoldChain - - -contains - - - -Semantics.HCMMR.Core.receiptRejectChain - -def -receiptRejectChain - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.receiptRejectChain - - -contains - - - -Semantics.HCMMR.Core.optionalRejectChain - -def -optionalRejectChain - - - -Semantics.HCMMR.Core->Semantics.HCMMR.Core.optionalRejectChain - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire - -module -BoundaryEigenFire - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.projectToBoundary - -def -projectToBoundary - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.projectToBoundary - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.modalNorm - -def -modalNorm - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.modalNorm - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.BoundaryField - -def -BoundaryField - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.BoundaryField - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.activationThreshold - -def -activationThreshold - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.activationThreshold - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.punctureThreshold - -def -punctureThreshold - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.punctureThreshold - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.isEigenFire - -def -isEigenFire - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.isEigenFire - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.isPuncture - -def -isPuncture - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.isPuncture - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.dominantManifestation - -def -dominantManifestation - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.dominantManifestation - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.makePromotionReceipt - -def -makePromotionReceipt - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.makePromotionReceipt - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.eigenFireGate - -def -eigenFireGate - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.eigenFireGate - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.collide - -def -collide - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.collide - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.coolBoundary - -def -coolBoundary - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.coolBoundary - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.hotWallBind - -def -hotWallBind - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.hotWallBind - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.hotWall - -def -hotWall - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.hotWall - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.underverseBoundary - -def -underverseBoundary - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.underverseBoundary - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.unstoppableForce - -def -unstoppableForce - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.unstoppableForce - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.immovableObject - -def -immovableObject - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.immovableObject - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.throatCollision - -def -throatCollision - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.throatCollision - - -contains - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire.dim16Field - -def -dim16Field - - - -Semantics.HCMMR.Kernels.BoundaryEigenFire->Semantics.HCMMR.Kernels.BoundaryEigenFire.dim16Field - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector - -module -EntropyCollapseDetector - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.denseRankTieFixture - -theorem -denseRankTieFixture - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.denseRankTieFixture - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.correctedCrossingCountIs12 - -theorem -correctedCrossingCountIs12 - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.correctedCrossingCountIs12 - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.rawK7FiresButSelectiveK21DoesNot - -theorem -rawK7FiresButSelectiveK21DoesNot - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.rawK7FiresButSelectiveK21DoesNot - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.d2SumP2NumeratorIs22 - -theorem -d2SumP2NumeratorIs22 - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.d2SumP2NumeratorIs22 - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.collapseFeaturesButNoTripleFire - -theorem -collapseFeaturesButNoTripleFire - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.collapseFeaturesButNoTripleFire - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.exactTailReceiptsW8 - -theorem -exactTailReceiptsW8 - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.exactTailReceiptsW8 - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.windowA - -def -windowA - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.windowA - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.windowB - -def -windowB - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.windowB - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.collapseWindow - -def -collapseWindow - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.collapseWindow - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.denseRankValue - -def -denseRankValue - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.denseRankValue - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.denseRank - -def -denseRank - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.denseRank - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.rankedA - -def -rankedA - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.rankedA - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.rankedB - -def -rankedB - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.rankedB - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.crossingAt - -def -crossingAt - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.crossingAt - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.indexPairs8 - -def -indexPairs8 - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.indexPairs8 - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.crossingCount - -def -crossingCount - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.crossingCount - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.countValue - -def -countValue - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.countValue - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.d2SumP2Numerator64 - -def -d2SumP2Numerator64 - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.d2SumP2Numerator64 - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.sigmaQppm - -def -sigmaQppm - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.sigmaQppm - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.sigmaCppm - -def -sigmaCppm - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.sigmaCppm - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.d2ppm - -def -d2ppm - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.d2ppm - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.dCppm - -def -dCppm - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.dCppm - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.braidRawFires - -def -braidRawFires - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.braidRawFires - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.braidSelectiveFires - -def -braidSelectiveFires - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.braidSelectiveFires - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.sigmaCollapsed - -def -sigmaCollapsed - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.sigmaCollapsed - - -contains - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector.d2Collapsed - -def -d2Collapsed - - - -Semantics.HCMMR.Kernels.EntropyCollapseDetector->Semantics.HCMMR.Kernels.EntropyCollapseDetector.d2Collapsed - - -contains - - - -Semantics.HCMMR.Kernels.FAMMScarMemory - -module -FAMMScarMemory - - - -Semantics.HCMMR.Kernels.FAMMScarMemory.famm_gate_name_correct - -theorem -famm_gate_name_correct - - - -Semantics.HCMMR.Kernels.FAMMScarMemory->Semantics.HCMMR.Kernels.FAMMScarMemory.famm_gate_name_correct - - -contains - - - -Semantics.HCMMR.Kernels.FAMMScarMemory.famm_gate_verdict_admits - -theorem -famm_gate_verdict_admits - - - -Semantics.HCMMR.Kernels.FAMMScarMemory->Semantics.HCMMR.Kernels.FAMMScarMemory.famm_gate_verdict_admits - - -contains - - - -Semantics.HCMMR.Kernels.FAMMScarMemory.fixtureScar_initial_history - -theorem -fixtureScar_initial_history - - - -Semantics.HCMMR.Kernels.FAMMScarMemory->Semantics.HCMMR.Kernels.FAMMScarMemory.fixtureScar_initial_history - - -contains - - - -Semantics.HCMMR.Kernels.FAMMScarMemory.fixtureHighScar_history_length - -theorem -fixtureHighScar_history_length - - - -Semantics.HCMMR.Kernels.FAMMScarMemory->Semantics.HCMMR.Kernels.FAMMScarMemory.fixtureHighScar_history_length - - -contains - - - -Semantics.HCMMR.Kernels.FAMMScarMemory.reset_does_not_change_history_length - -theorem -reset_does_not_change_history_length - - - -Semantics.HCMMR.Kernels.FAMMScarMemory->Semantics.HCMMR.Kernels.FAMMScarMemory.reset_does_not_change_history_length - - -contains - - - -Semantics.HCMMR.Kernels.FAMMScarMemory.record_extends_history - -theorem -record_extends_history - - - -Semantics.HCMMR.Kernels.FAMMScarMemory->Semantics.HCMMR.Kernels.FAMMScarMemory.record_extends_history - - -contains - - - -Semantics.HCMMR.Kernels.FAMMScarMemory.fammBias - -def -fammBias - - - -Semantics.HCMMR.Kernels.FAMMScarMemory->Semantics.HCMMR.Kernels.FAMMScarMemory.fammBias - - -contains - - - -Semantics.HCMMR.Kernels.FAMMScarMemory.applyFAMMBias - -def -applyFAMMBias - - - -Semantics.HCMMR.Kernels.FAMMScarMemory->Semantics.HCMMR.Kernels.FAMMScarMemory.applyFAMMBias - - -contains - - - -Semantics.HCMMR.Kernels.FAMMScarMemory.recordScar - -def -recordScar - - - -Semantics.HCMMR.Kernels.FAMMScarMemory->Semantics.HCMMR.Kernels.FAMMScarMemory.recordScar - - -contains - - - -Semantics.HCMMR.Kernels.FAMMScarMemory.resetFrustration - -def -resetFrustration - - - -Semantics.HCMMR.Kernels.FAMMScarMemory->Semantics.HCMMR.Kernels.FAMMScarMemory.resetFrustration - - -contains - - - -Semantics.HCMMR.Kernels.FAMMScarMemory.fammMemoryGate - -def -fammMemoryGate - - - -Semantics.HCMMR.Kernels.FAMMScarMemory->Semantics.HCMMR.Kernels.FAMMScarMemory.fammMemoryGate - - -contains - - - -Semantics.HCMMR.Kernels.FAMMScarMemory.fixtureScar - -def -fixtureScar - - - -Semantics.HCMMR.Kernels.FAMMScarMemory->Semantics.HCMMR.Kernels.FAMMScarMemory.fixtureScar - - -contains - - - -Semantics.HCMMR.Kernels.FAMMScarMemory.fixtureHighScar - -def -fixtureHighScar - - - -Semantics.HCMMR.Kernels.FAMMScarMemory->Semantics.HCMMR.Kernels.FAMMScarMemory.fixtureHighScar - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum - -module -HyperEigenSpectrum - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.BindOperator - -def -BindOperator - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.BindOperator - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.BindOperator - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.BindOperator - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.EigenMode - -def -EigenMode - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.EigenMode - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.EigenMode - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.HyperEigenSpectrum - -def -HyperEigenSpectrum - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.HyperEigenSpectrum - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.HyperEigenSpectrum - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.HyperEigenSpectrum - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.sortDescending - -def -sortDescending - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.sortDescending - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.argmax - -def -argmax - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.argmax - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.fromBind - -def -fromBind - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.fromBind - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.fromEigenmassOperator - -def -fromEigenmassOperator - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.fromEigenmassOperator - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.regimeLabel - -def -regimeLabel - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.regimeLabel - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.dominantMode - -def -dominantMode - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.dominantMode - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.hasRegimeShift - -def -hasRegimeShift - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.hasRegimeShift - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.classifyTransition - -def -classifyTransition - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.classifyTransition - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.cosmicVoidBind - -def -cosmicVoidBind - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.cosmicVoidBind - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.cosmicVoidSpectrum - -def -cosmicVoidSpectrum - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.cosmicVoidSpectrum - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.fractureBind - -def -fractureBind - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.fractureBind - - -contains - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum.fractureSpectrum - -def -fractureSpectrum - - - -Semantics.HCMMR.Kernels.HyperEigenSpectrum->Semantics.HCMMR.Kernels.HyperEigenSpectrum.fractureSpectrum - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache - -module -PrimeGearCache - - - -Semantics.HCMMR.Kernels.PrimeGearCache.cache_prime_increments_known - -theorem -cache_prime_increments_known - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.cache_prime_increments_known - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.cache_duplicate_does_not_increment - -theorem -cache_duplicate_does_not_increment - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.cache_duplicate_does_not_increment - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.gate_name_correct - -theorem -gate_name_correct - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.gate_name_correct - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.fixtureCache_primes_known_two - -theorem -fixtureCache_primes_known_two - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.fixtureCache_primes_known_two - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.q16Pow_zero_exp - -theorem -q16Pow_zero_exp - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.q16Pow_zero_exp - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.q16Pow_one_exp - -theorem -q16Pow_one_exp - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.q16Pow_one_exp - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.empty_cache_no_entry - -theorem -empty_cache_no_entry - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.empty_cache_no_entry - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.factorize - -def -factorize - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.factorize - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.findEntry - -def -findEntry - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.findEntry - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.q16Pow - -def -q16Pow - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.q16Pow - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.composeFromPrimes - -def -composeFromPrimes - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.composeFromPrimes - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.isCompositeCached - -def -isCompositeCached - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.isCompositeCached - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.cachePrimeStep - -def -cachePrimeStep - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.cachePrimeStep - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.primeCacheGate - -def -primeCacheGate - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.primeCacheGate - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.emptyCache - -def -emptyCache - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.emptyCache - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.fixtureEntry2 - -def -fixtureEntry2 - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.fixtureEntry2 - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.fixtureEntry3 - -def -fixtureEntry3 - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.fixtureEntry3 - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.fixtureEntry5 - -def -fixtureEntry5 - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.fixtureEntry5 - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.fixtureCache - -def -fixtureCache - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.fixtureCache - - -contains - - - -Semantics.HCMMR.Kernels.PrimeGearCache.fixtureCache3 - -def -fixtureCache3 - - - -Semantics.HCMMR.Kernels.PrimeGearCache->Semantics.HCMMR.Kernels.PrimeGearCache.fixtureCache3 - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep - -module -RecamanFieldStep - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.recaman_gate_name_correct - -theorem -recaman_gate_name_correct - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.recaman_gate_name_correct - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.recaman_gate_verdict_admits - -theorem -recaman_gate_verdict_admits - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.recaman_gate_verdict_admits - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.fixture_step1_index_one - -theorem -fixture_step1_index_one - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.fixture_step1_index_one - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.fixture_step2_index_two - -theorem -fixture_step2_index_two - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.fixture_step2_index_two - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.fixture_step1_reflected_false - -theorem -fixture_step1_reflected_false - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.fixture_step1_reflected_false - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.fixture_step2_reflected_true - -theorem -fixture_step2_reflected_true - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.fixture_step2_reflected_true - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.recamanFieldStep - -def -recamanFieldStep - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.recamanFieldStep - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.arcFromStep - -def -arcFromStep - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.arcFromStep - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.circleIntersectionCheck - -def -circleIntersectionCheck - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.circleIntersectionCheck - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.cumulativeArcLength - -def -cumulativeArcLength - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.cumulativeArcLength - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.recamanGateAdmit - -def -recamanGateAdmit - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.recamanGateAdmit - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureStep1 - -def -fixtureStep1 - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureStep1 - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureStep2 - -def -fixtureStep2 - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureStep2 - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureStep3 - -def -fixtureStep3 - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureStep3 - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureArc1 - -def -fixtureArc1 - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureArc1 - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureArc2 - -def -fixtureArc2 - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureArc2 - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureVisited - -def -fixtureVisited - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureVisited - - -contains - - - -Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureGate - -def -fixtureGate - - - -Semantics.HCMMR.Kernels.RecamanFieldStep->Semantics.HCMMR.Kernels.RecamanFieldStep.fixtureGate - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector - -module -SNRAnomalyDetector - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Core - - -imports - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.narrowband_spike_admits - -theorem -narrowband_spike_admits - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.narrowband_spike_admits - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.noise_floor_rejects - -theorem -noise_floor_rejects - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.noise_floor_rejects - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.broadband_rise_holds - -theorem -broadband_rise_holds - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.broadband_rise_holds - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.narrowband_is_narrowband - -theorem -narrowband_is_narrowband - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.narrowband_is_narrowband - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.anomaly_score_self_delta - -theorem -anomaly_score_self_delta - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.anomaly_score_self_delta - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.detection_count_multi_bin - -theorem -detection_count_multi_bin - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.detection_count_multi_bin - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.computeSNR - -def -computeSNR - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.computeSNR - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.classifySNRZone - -def -classifySNRZone - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.classifySNRZone - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.isNarrowband - -def -isNarrowband - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.isNarrowband - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.isBroadband - -def -isBroadband - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.isBroadband - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.classifyPattern - -def -classifyPattern - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.classifyPattern - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.anomalyScore - -def -anomalyScore - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.anomalyScore - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.narrowbandSpikeFixture - -def -narrowbandSpikeFixture - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.narrowbandSpikeFixture - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.broadbandRiseFixture - -def -broadbandRiseFixture - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.broadbandRiseFixture - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.noiseFloorFixture - -def -noiseFloorFixture - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.noiseFloorFixture - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.multiBinFixture - -def -multiBinFixture - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.multiBinFixture - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.snrDetectionGate - -def -snrDetectionGate - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.snrDetectionGate - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.emitAnomalyReceipt - -def -emitAnomalyReceipt - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.emitAnomalyReceipt - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.findStrongestSpike - -def -findStrongestSpike - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.findStrongestSpike - - -contains - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector.countDetections - -def -countDetections - - - -Semantics.HCMMR.Kernels.SNRAnomalyDetector->Semantics.HCMMR.Kernels.SNRAnomalyDetector.countDetections - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion - -module -Law14_Motion - - - -Semantics.HCMMR.Laws.Law14_Motion.newton_admits_clean - -theorem -newton_admits_clean - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.newton_admits_clean - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.free_particle_admits - -theorem -free_particle_admits - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.free_particle_admits - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.momentum_identity_clean - -theorem -momentum_identity_clean - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.momentum_identity_clean - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.kinetic_energy_clean - -theorem -kinetic_energy_clean - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.kinetic_energy_clean - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.newton_violating_residual_pos - -theorem -newton_violating_residual_pos - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.newton_violating_residual_pos - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.computeVelocity - -def -computeVelocity - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.computeVelocity - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.computeAcceleration - -def -computeAcceleration - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.computeAcceleration - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.newtonSecondLawResidual - -def -newtonSecondLawResidual - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.newtonSecondLawResidual - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.momentumResidual - -def -momentumResidual - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.momentumResidual - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.kineticEnergyResidual - -def -kineticEnergyResidual - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.kineticEnergyResidual - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.eulerLagrangeResidual - -def -eulerLagrangeResidual - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.eulerLagrangeResidual - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.actionResidual - -def -actionResidual - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.actionResidual - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.motionRecoveryGate - -def -motionRecoveryGate - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.motionRecoveryGate - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.motionDiagnostic - -def -motionDiagnostic - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.motionDiagnostic - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.gearReduceResidual - -def -gearReduceResidual - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.gearReduceResidual - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.cleanNewtonFixture - -def -cleanNewtonFixture - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.cleanNewtonFixture - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.violatingTrajectoryFixture - -def -violatingTrajectoryFixture - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.violatingTrajectoryFixture - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.cleanLagrangianFixture - -def -cleanLagrangianFixture - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.cleanLagrangianFixture - - -contains - - - -Semantics.HCMMR.Laws.Law14_Motion.freeParticleFixture - -def -freeParticleFixture - - - -Semantics.HCMMR.Laws.Law14_Motion->Semantics.HCMMR.Laws.Law14_Motion.freeParticleFixture - - -contains - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection - -module -Law15E_SignalDetection - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection.seti_config_admits_strong_signal - -theorem -seti_config_admits_strong_signal - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection->Semantics.HCMMR.Laws.Law15E_SignalDetection.seti_config_admits_strong_signal - - -contains - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection.seti_config_holds_ambiguous - -theorem -seti_config_holds_ambiguous - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection->Semantics.HCMMR.Laws.Law15E_SignalDetection.seti_config_holds_ambiguous - - -contains - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection.quick_scan_admits_ambiguous_above_noise - -theorem -quick_scan_admits_ambiguous_above_noise - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection->Semantics.HCMMR.Laws.Law15E_SignalDetection.quick_scan_admits_ambiguous_above_noise - - -contains - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection.doppler_zero_drift_holds - -theorem -doppler_zero_drift_holds - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection->Semantics.HCMMR.Laws.Law15E_SignalDetection.doppler_zero_drift_holds - - -contains - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection.doppler_valid_drift_admits - -theorem -doppler_valid_drift_admits - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection->Semantics.HCMMR.Laws.Law15E_SignalDetection.doppler_valid_drift_admits - - -contains - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection.detection_report_counts_correctly - -theorem -detection_report_counts_correctly - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection->Semantics.HCMMR.Laws.Law15E_SignalDetection.detection_report_counts_correctly - - -contains - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection.setiDefaultConfig - -def -setiDefaultConfig - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection->Semantics.HCMMR.Laws.Law15E_SignalDetection.setiDefaultConfig - - -contains - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection.quickScanConfig - -def -quickScanConfig - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection->Semantics.HCMMR.Laws.Law15E_SignalDetection.quickScanConfig - - -contains - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection.signalDetectionGate - -def -signalDetectionGate - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection->Semantics.HCMMR.Laws.Law15E_SignalDetection.signalDetectionGate - - -contains - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection.generateDetectionReport - -def -generateDetectionReport - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection->Semantics.HCMMR.Laws.Law15E_SignalDetection.generateDetectionReport - - -contains - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection.detectDopplerDrift - -def -detectDopplerDrift - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection->Semantics.HCMMR.Laws.Law15E_SignalDetection.detectDopplerDrift - - -contains - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection.dopplerGate - -def -dopplerGate - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection->Semantics.HCMMR.Laws.Law15E_SignalDetection.dopplerGate - - -contains - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection.cleanSignalFixture - -def -cleanSignalFixture - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection->Semantics.HCMMR.Laws.Law15E_SignalDetection.cleanSignalFixture - - -contains - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection.ambiguousSignalFixture - -def -ambiguousSignalFixture - - - -Semantics.HCMMR.Laws.Law15E_SignalDetection->Semantics.HCMMR.Laws.Law15E_SignalDetection.ambiguousSignalFixture - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field - -module -Law15_Field - - - -Semantics.HCMMR.Laws.Law15_Field.kahlerGate_admits_clean - -theorem -kahlerGate_admits_clean - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.kahlerGate_admits_clean - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.kahlerGate_rejects_fractal - -theorem -kahlerGate_rejects_fractal - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.kahlerGate_rejects_fractal - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.gaugeGate_admits_invariance - -theorem -gaugeGate_admits_invariance - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.gaugeGate_admits_invariance - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.maxwell_homogeneous_from_potential - -theorem -maxwell_homogeneous_from_potential - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.maxwell_homogeneous_from_potential - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.maxwell_sourced_needs_current - -theorem -maxwell_sourced_needs_current - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.maxwell_sourced_needs_current - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.waveGate_admits_vacuum - -theorem -waveGate_admits_vacuum - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.waveGate_admits_vacuum - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.couplingGate_admits_conserved - -theorem -couplingGate_admits_conserved - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.couplingGate_admits_conserved - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.fieldRecovery_chain_admits_clean - -theorem -fieldRecovery_chain_admits_clean - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.fieldRecovery_chain_admits_clean - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.fieldRecovery_chain_rejects_fractal - -theorem -fieldRecovery_chain_rejects_fractal - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.fieldRecovery_chain_rejects_fractal - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.J16_squared_is_negI - -theorem -J16_squared_is_negI - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.J16_squared_is_negI - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.J16_is_unitary - -theorem -J16_is_unitary - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.J16_is_unitary - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.goldenSpiral_passes_conformal - -theorem -goldenSpiral_passes_conformal - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.goldenSpiral_passes_conformal - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.goldenSpiral_gate_admits - -theorem -goldenSpiral_gate_admits - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.goldenSpiral_gate_admits - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.shear_fails_kahler - -theorem -shear_fails_kahler - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.shear_fails_kahler - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.conj_is_orthogonal - -theorem -conj_is_orthogonal - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.conj_is_orthogonal - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.conj_fails_kahler - -theorem -conj_fails_kahler - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.conj_fails_kahler - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.q16_sub_self_val - -theorem -q16_sub_self_val - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.q16_sub_self_val - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.placeholder_B3_always_zero - -theorem -placeholder_B3_always_zero - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.placeholder_B3_always_zero - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.vortex_B3_nonzero - -theorem -vortex_B3_nonzero - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.vortex_B3_nonzero - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.vortex_divB_zero - -theorem -vortex_divB_zero - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.vortex_divB_zero - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.quantize_one - -theorem -quantize_one - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.quantize_one - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.quantize_negTwo - -theorem -quantize_negTwo - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.quantize_negTwo - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.quantize_threeHalves - -theorem -quantize_threeHalves - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.quantize_threeHalves - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.charge_empty - -theorem -charge_empty - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.charge_empty - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.charge_one_vortex - -theorem -charge_one_vortex - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.charge_one_vortex - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.charge_two_vortices - -theorem -charge_two_vortices - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.charge_two_vortices - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.charge_vortex_antivortex - -theorem -charge_vortex_antivortex - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.charge_vortex_antivortex - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.projectPotential - -def -projectPotential - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.projectPotential - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.computeFieldStrength - -def -computeFieldStrength - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.computeFieldStrength - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.kahlerResidual - -def -kahlerResidual - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.kahlerResidual - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.kahlerGateAdmit - -def -kahlerGateAdmit - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.kahlerGateAdmit - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.fractalKahlerReceipt - -def -fractalKahlerReceipt - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.fractalKahlerReceipt - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.gaugeTransform - -def -gaugeTransform - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.gaugeTransform - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.gaugeResidual - -def -gaugeResidual - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.gaugeResidual - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.gaugeGateAdmit - -def -gaugeGateAdmit - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.gaugeGateAdmit - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.homogeneousMaxwellResidual - -def -homogeneousMaxwellResidual - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.homogeneousMaxwellResidual - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.sourcedMaxwellResidual - -def -sourcedMaxwellResidual - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.sourcedMaxwellResidual - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.maxwellGateAdmit - -def -maxwellGateAdmit - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.maxwellGateAdmit - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.causalSpeedResidual - -def -causalSpeedResidual - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.causalSpeedResidual - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.waveGateAdmit - -def -waveGateAdmit - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.waveGateAdmit - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.lorentzForce - -def -lorentzForce - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.lorentzForce - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.chargeCouplingResidual - -def -chargeCouplingResidual - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.chargeCouplingResidual - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.sourceConservationResidual - -def -sourceConservationResidual - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.sourceConservationResidual - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.couplingGateAdmit - -def -couplingGateAdmit - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.couplingGateAdmit - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.fieldRecoveryChain - -def -fieldRecoveryChain - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.fieldRecoveryChain - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.fieldRecoveryVerdict - -def -fieldRecoveryVerdict - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.fieldRecoveryVerdict - - -contains - - - -Semantics.HCMMR.Laws.Law15_Field.cleanTorsionFixture - -def -cleanTorsionFixture - - - -Semantics.HCMMR.Laws.Law15_Field->Semantics.HCMMR.Laws.Law15_Field.cleanTorsionFixture - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy - -module -Law16_Entropy - - - -Semantics.HCMMR.Laws.Law16_Entropy.landauer_positive - -theorem -landauer_positive - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.landauer_positive - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.underverse_never_zero - -theorem -underverse_never_zero - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.underverse_never_zero - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.torsion_never_superluminal - -theorem -torsion_never_superluminal - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.torsion_never_superluminal - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.thermal_boundary_admits_positive - -theorem -thermal_boundary_admits_positive - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.thermal_boundary_admits_positive - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.thermal_boundary_holds_at_zero - -theorem -thermal_boundary_holds_at_zero - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.thermal_boundary_holds_at_zero - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.torsion_horizon_admits_near_light - -theorem -torsion_horizon_admits_near_light - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.torsion_horizon_admits_near_light - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.torsion_horizon_rejects_luminal - -theorem -torsion_horizon_rejects_luminal - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.torsion_horizon_rejects_luminal - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.failure_cost_positive - -theorem -failure_cost_positive - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.failure_cost_positive - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.k_B - -def -k_B - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.k_B - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.ln2 - -def -ln2 - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.ln2 - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.landauerMinimum - -def -landauerMinimum - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.landauerMinimum - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.computeFailureCost - -def -computeFailureCost - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.computeFailureCost - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.sinkEffectiveness - -def -sinkEffectiveness - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.sinkEffectiveness - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.sinkResidual - -def -sinkResidual - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.sinkResidual - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.thermalBoundaryCheck - -def -thermalBoundaryCheck - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.thermalBoundaryCheck - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.entropyGateAdmit - -def -entropyGateAdmit - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.entropyGateAdmit - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.totalEntropyBudget - -def -totalEntropyBudget - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.totalEntropyBudget - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.causalSpeedResidual - -def -causalSpeedResidual - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.causalSpeedResidual - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.torsionHorizonAdmit - -def -torsionHorizonAdmit - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.torsionHorizonAdmit - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.roomTempFixture - -def -roomTempFixture - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.roomTempFixture - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.gateRejectCostFixture - -def -gateRejectCostFixture - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.gateRejectCostFixture - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.underverseSettledFixture - -def -underverseSettledFixture - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.underverseSettledFixture - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.nearLightTorsionFixture - -def -nearLightTorsionFixture - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.nearLightTorsionFixture - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.thermalBoundaryFixture - -def -thermalBoundaryFixture - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.thermalBoundaryFixture - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.failureListFixture - -def -failureListFixture - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.failureListFixture - - -contains - - - -Semantics.HCMMR.Laws.Law16_Entropy.rawSinkFixture - -def -rawSinkFixture - - - -Semantics.HCMMR.Laws.Law16_Entropy->Semantics.HCMMR.Laws.Law16_Entropy.rawSinkFixture - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer - -module -Law17_Observer - - - -Semantics.HCMMR.Laws.Law17_Observer.same_dim_no_collapse - -theorem -same_dim_no_collapse - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.same_dim_no_collapse - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.higher_to_lower_collapses - -theorem -higher_to_lower_collapses - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.higher_to_lower_collapses - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.full_resolution_admits - -theorem -full_resolution_admits - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.full_resolution_admits - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.human_observes_16d_holds - -theorem -human_observes_16d_holds - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.human_observes_16d_holds - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.zero_dim_no_permeability_rejects - -theorem -zero_dim_no_permeability_rejects - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.zero_dim_no_permeability_rejects - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.zero_dim_with_permeability_holds - -theorem -zero_dim_with_permeability_holds - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.zero_dim_with_permeability_holds - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.collapse_residual_self_zero_concrete - -theorem -collapse_residual_self_zero_concrete - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.collapse_residual_self_zero_concrete - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.collapseResidual - -def -collapseResidual - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.collapseResidual - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.observe - -def -observe - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.observe - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.measurementGateAdmit - -def -measurementGateAdmit - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.measurementGateAdmit - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.emitMeasurementReceipt - -def -emitMeasurementReceipt - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.emitMeasurementReceipt - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.checkResolutionHorizon - -def -checkResolutionHorizon - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.checkResolutionHorizon - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.eigenmassFixture - -def -eigenmassFixture - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.eigenmassFixture - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.sameDimObject - -def -sameDimObject - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.sameDimObject - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.higherDimObject - -def -higherDimObject - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.higherDimObject - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.humanObserverFixture - -def -humanObserverFixture - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.humanObserverFixture - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.quantumObserverFixture - -def -quantumObserverFixture - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.quantumObserverFixture - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.sixteenDObserverFixture - -def -sixteenDObserverFixture - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.sixteenDObserverFixture - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.zeroDimObserverFixture - -def -zeroDimObserverFixture - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.zeroDimObserverFixture - - -contains - - - -Semantics.HCMMR.Laws.Law17_Observer.measurementCollapseFixture - -def -measurementCollapseFixture - - - -Semantics.HCMMR.Laws.Law17_Observer->Semantics.HCMMR.Laws.Law17_Observer.measurementCollapseFixture - - -contains - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation - -module -Law18_AlphaDerivation - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation.canonicalWyler - -def -canonicalWyler - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation->Semantics.HCMMR.Laws.Law18_AlphaDerivation.canonicalWyler - - -contains - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation.floatPi - -def -floatPi - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation->Semantics.HCMMR.Laws.Law18_AlphaDerivation.floatPi - - -contains - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation.wylerAlphaInverse - -def -wylerAlphaInverse - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation->Semantics.HCMMR.Laws.Law18_AlphaDerivation.wylerAlphaInverse - - -contains - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation.wylerAlphaInverseTrue - -def -wylerAlphaInverseTrue - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation->Semantics.HCMMR.Laws.Law18_AlphaDerivation.wylerAlphaInverseTrue - - -contains - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation.codataAlphaInverse - -def -codataAlphaInverse - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation->Semantics.HCMMR.Laws.Law18_AlphaDerivation.codataAlphaInverse - - -contains - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation.wylerDeviation - -def -wylerDeviation - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation->Semantics.HCMMR.Laws.Law18_AlphaDerivation.wylerDeviation - - -contains - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation.recamanGap6Candidate - -def -recamanGap6Candidate - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation->Semantics.HCMMR.Laws.Law18_AlphaDerivation.recamanGap6Candidate - - -contains - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation.recamanDeviation - -def -recamanDeviation - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation->Semantics.HCMMR.Laws.Law18_AlphaDerivation.recamanDeviation - - -contains - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation.alphaInverseQ16_16Anchor - -def -alphaInverseQ16_16Anchor - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation->Semantics.HCMMR.Laws.Law18_AlphaDerivation.alphaInverseQ16_16Anchor - - -contains - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation.alphaInverseFromAnchor - -def -alphaInverseFromAnchor - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation->Semantics.HCMMR.Laws.Law18_AlphaDerivation.alphaInverseFromAnchor - - -contains - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation.anchorDeviation - -def -anchorDeviation - - - -Semantics.HCMMR.Laws.Law18_AlphaDerivation->Semantics.HCMMR.Laws.Law18_AlphaDerivation.anchorDeviation - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants - -module -Law18_Constants - - - -Semantics.HCMMR.Laws.Law18_Constants.omegaK_admits_anchored - -theorem -omegaK_admits_anchored - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.omegaK_admits_anchored - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.omegaK_rejects_missing - -theorem -omegaK_rejects_missing - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.omegaK_rejects_missing - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.dimensionless_residual_bounded_by_resolution - -theorem -dimensionless_residual_bounded_by_resolu - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.dimensionless_residual_bounded_by_resolution - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.calibration_anchored_score_one - -theorem -calibration_anchored_score_one - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.calibration_anchored_score_one - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.anchorConstants - -def -anchorConstants - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.anchorConstants - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.calibrationScore - -def -calibrationScore - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.calibrationScore - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.residualLogRatio - -def -residualLogRatio - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.residualLogRatio - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.fineStructureTest - -def -fineStructureTest - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.fineStructureTest - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.massRatioTest - -def -massRatioTest - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.massRatioTest - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.planckRatioTest - -def -planckRatioTest - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.planckRatioTest - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.dimensionlessTestGate - -def -dimensionlessTestGate - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.dimensionlessTestGate - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.omegaKScore - -def -omegaKScore - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.omegaKScore - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.omegaKGate - -def -omegaKGate - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.omegaKGate - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.constantRecoveryGate - -def -constantRecoveryGate - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.constantRecoveryGate - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.constantRecoveryVerdict - -def -constantRecoveryVerdict - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.constantRecoveryVerdict - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.coDataCalibrationFixture - -def -coDataCalibrationFixture - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.coDataCalibrationFixture - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.missingPhotonFixture - -def -missingPhotonFixture - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.missingPhotonFixture - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.fineStructureFixture - -def -fineStructureFixture - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.fineStructureFixture - - -contains - - - -Semantics.HCMMR.Laws.Law18_Constants.anchoredCalibrationFixture - -def -anchoredCalibrationFixture - - - -Semantics.HCMMR.Laws.Law18_Constants->Semantics.HCMMR.Laws.Law18_Constants.anchoredCalibrationFixture - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar - -module -Law19_VoidScar - - - -Semantics.HCMMR.Laws.Law19_VoidScar.kochBoundaryDim - -def -kochBoundaryDim - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.kochBoundaryDim - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.mengerVoidDim - -def -mengerVoidDim - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.mengerVoidDim - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.mkDivNumerator - -def -mkDivNumerator - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.mkDivNumerator - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.mkDivDenominator - -def -mkDivDenominator - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.mkDivDenominator - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.mkDivOneStep - -def -mkDivOneStep - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.mkDivOneStep - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.VoidScarField - -def -VoidScarField - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.VoidScarField - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.voidScarDivergence - -def -voidScarDivergence - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.voidScarDivergence - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.voidScarAdmissible - -def -voidScarAdmissible - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.voidScarAdmissible - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.mengerDeleteStep - -def -mengerDeleteStep - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.mengerDeleteStep - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.kochScarStep - -def -kochScarStep - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.kochScarStep - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.voidScarStep - -def -voidScarStep - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.voidScarStep - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.voidScarGate - -def -voidScarGate - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.voidScarGate - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.resolveRegime - -def -resolveRegime - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.resolveRegime - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.resolveCoupling - -def -resolveCoupling - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.resolveCoupling - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.regimeGateVerdict - -def -regimeGateVerdict - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.regimeGateVerdict - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.voidScarRegimeChain - -def -voidScarRegimeChain - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.voidScarRegimeChain - - -contains - - - -Semantics.HCMMR.Laws.Law19_VoidScar.classifyDivergence - -def -classifyDivergence - - - -Semantics.HCMMR.Laws.Law19_VoidScar->Semantics.HCMMR.Laws.Law19_VoidScar.classifyDivergence - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock - -module -Law20_Shock - - - -Semantics.HCMMR.Laws.Law20_Shock.exampleShock_admitted - -theorem -exampleShock_admitted - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.exampleShock_admitted - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.ellipticEvent_rejected - -theorem -ellipticEvent_rejected - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.ellipticEvent_rejected - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.expansionShock_rejected_lax - -theorem -expansionShock_rejected_lax - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.expansionShock_rejected_lax - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.acausalShock_rejected - -theorem -acausalShock_rejected - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.acausalShock_rejected - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.q - -def -q - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.q - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.toN - -def -toN - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.toN - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.q_sub - -def -q_sub - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.q_sub - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.q_absdiff - -def -q_absdiff - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.q_absdiff - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.q_add - -def -q_add - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.q_add - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.q_div - -def -q_div - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.q_div - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.hyperbolicityGate - -def -hyperbolicityGate - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.hyperbolicityGate - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.characteristicSpeeds - -def -characteristicSpeeds - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.characteristicSpeeds - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.rankineHugoniotResidual - -def -rankineHugoniotResidual - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.rankineHugoniotResidual - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.entropyProxy - -def -entropyProxy - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.entropyProxy - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.entropyAdmissible - -def -entropyAdmissible - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.entropyAdmissible - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.entropyGain - -def -entropyGain - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.entropyGain - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.causalEnvelope - -def -causalEnvelope - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.causalEnvelope - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.causallyValid - -def -causallyValid - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.causallyValid - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.causalExcess - -def -causalExcess - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.causalExcess - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.rhThreshold - -def -rhThreshold - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.rhThreshold - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.shockGate - -def -shockGate - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.shockGate - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.exampleShock - -def -exampleShock - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.exampleShock - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.ellipticEvent - -def -ellipticEvent - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.ellipticEvent - - -contains - - - -Semantics.HCMMR.Laws.Law20_Shock.expansionShock - -def -expansionShock - - - -Semantics.HCMMR.Laws.Law20_Shock->Semantics.HCMMR.Laws.Law20_Shock.expansionShock - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary - -module -Law21_ThermalBoundary - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.superposition_weight_sum - -theorem -superposition_weight_sum - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.superposition_weight_sum - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.boltzmann_num - -def -boltzmann_num - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.boltzmann_num - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.boltzmann_den - -def -boltzmann_den - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.boltzmann_den - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.T_CMB - -def -T_CMB - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.T_CMB - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.ln2_Q16 - -def -ln2_Q16 - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.ln2_Q16 - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.T_Hagedorn_K - -def -T_Hagedorn_K - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.T_Hagedorn_K - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.T_absZero_K - -def -T_absZero_K - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.T_absZero_K - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.classifyThermalRegime - -def -classifyThermalRegime - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.classifyThermalRegime - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.T_CMB_mK - -def -T_CMB_mK - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.T_CMB_mK - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.aboveCMB - -def -aboveCMB - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.aboveCMB - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.subCMBresidual - -def -subCMBresidual - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.subCMBresidual - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.landauerFloor - -def -landauerFloor - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.landauerFloor - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.landauerAdmissible - -def -landauerAdmissible - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.landauerAdmissible - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.landauerDeficit - -def -landauerDeficit - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.landauerDeficit - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.thermalGate - -def -thermalGate - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.thermalGate - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.superpositionFromVerdict - -def -superpositionFromVerdict - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.superpositionFromVerdict - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.thermalGateEx - -def -thermalGateEx - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.thermalGateEx - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.A_thermal - -def -A_thermal - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.A_thermal - - -contains - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary.A_thermal_weight - -def -A_thermal_weight - - - -Semantics.HCMMR.Laws.Law21_ThermalBoundary->Semantics.HCMMR.Laws.Law21_ThermalBoundary.A_thermal_weight - - -contains - - - -Semantics.HCMMR.Manifest - -module -Manifest - - - -Semantics.HachimojiCostRefinement - -module -HachimojiCostRefinement - - - -Semantics.HachimojiCostRefinement->Mathlib.Data.Real.Basic - - -imports - - - -Semantics.HachimojiCostRefinement.standardCodonSpace - -def -standardCodonSpace - - - -Semantics.HachimojiCostRefinement->Semantics.HachimojiCostRefinement.standardCodonSpace - - -contains - - - -Semantics.HachimojiCostRefinement.hachimojiCodonSpace - -def -hachimojiCodonSpace - - - -Semantics.HachimojiCostRefinement->Semantics.HachimojiCostRefinement.hachimojiCodonSpace - - -contains - - - -Semantics.HachimojiCostRefinement.standardAverageDegeneracy - -def -standardAverageDegeneracy - - - -Semantics.HachimojiCostRefinement->Semantics.HachimojiCostRefinement.standardAverageDegeneracy - - -contains - - - -Semantics.HachimojiCostRefinement.hachimojiAverageDegeneracy - -def -hachimojiAverageDegeneracy - - - -Semantics.HachimojiCostRefinement->Semantics.HachimojiCostRefinement.hachimojiAverageDegeneracy - - -contains - - - -Semantics.HachimojiCostRefinement.standardBaseCost - -def -standardBaseCost - - - -Semantics.HachimojiCostRefinement->Semantics.HachimojiCostRefinement.standardBaseCost - - -contains - - - -Semantics.HachimojiCostRefinement.hachimojiRawCost - -def -hachimojiRawCost - - - -Semantics.HachimojiCostRefinement->Semantics.HachimojiCostRefinement.hachimojiRawCost - - -contains - - - -Semantics.HachimojiManifoldAxiom - -module -HachimojiManifoldAxiom - - - -Semantics.HachimojiManifoldAxiom.HachimojiBase - -theorem -HachimojiBase - - - -Semantics.HachimojiManifoldAxiom->Semantics.HachimojiManifoldAxiom.HachimojiBase - - -contains - - - -Semantics.HachimojiManifoldAxiom.repunit_mul_pred - -theorem -repunit_mul_pred - - - -Semantics.HachimojiManifoldAxiom->Semantics.HachimojiManifoldAxiom.repunit_mul_pred - - -contains - - - -Semantics.HachimojiManifoldAxiom.repunit_cross_mul - -theorem -repunit_cross_mul - - - -Semantics.HachimojiManifoldAxiom->Semantics.HachimojiManifoldAxiom.repunit_cross_mul - - -contains - - - -Semantics.HachimojiManifoldAxiom.PersistentClass - -theorem -PersistentClass - - - -Semantics.HachimojiManifoldAxiom->Semantics.HachimojiManifoldAxiom.PersistentClass - - -contains - - - -Semantics.HachimojiManifoldAxiom->Semantics.HachimojiManifoldAxiom.PersistentClass - - -contains - - - -Semantics.HachimojiManifoldAxiom.bms_from_manifold - -theorem -bms_from_manifold - - - -Semantics.HachimojiManifoldAxiom->Semantics.HachimojiManifoldAxiom.bms_from_manifold - - -contains - - - -Semantics.HachimojiManifoldAxiom.goormaghtigh_from_manifold - -theorem -goormaghtigh_from_manifold - - - -Semantics.HachimojiManifoldAxiom->Semantics.HachimojiManifoldAxiom.goormaghtigh_from_manifold - - -contains - - - -Semantics.HachimojiManifoldAxiom.PersistenceBarcode - -def -PersistenceBarcode - - - -Semantics.HachimojiManifoldAxiom->Semantics.HachimojiManifoldAxiom.PersistenceBarcode - - -contains - - - -Semantics.HachimojiPipeline - -module -HachimojiPipeline - - - -Semantics.HachimojiPipeline.energyToLogProb - -def -energyToLogProb - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.energyToLogProb - - -contains - - - -Semantics.HachimojiPipeline.updateDiscreteState - -def -updateDiscreteState - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.updateDiscreteState - - -contains - - - -Semantics.HachimojiPipeline.isEntropySpike - -def -isEntropySpike - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.isEntropySpike - - -contains - - - -Semantics.HachimojiPipeline.fastPredict - -def -fastPredict - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.fastPredict - - -contains - - - -Semantics.HachimojiPipeline.updateContextHierarchy - -def -updateContextHierarchy - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.updateContextHierarchy - - -contains - - - -Semantics.HachimojiPipeline.getShortContext - -def -getShortContext - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.getShortContext - - -contains - - - -Semantics.HachimojiPipeline.getMediumContext - -def -getMediumContext - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.getMediumContext - - -contains - - - -Semantics.HachimojiPipeline.getLongContext - -def -getLongContext - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.getLongContext - - -contains - - - -Semantics.HachimojiPipeline.trainLookupTable - -def -trainLookupTable - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.trainLookupTable - - -contains - - - -Semantics.HachimojiPipeline.initInterval - -def -initInterval - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.initInterval - - -contains - - - -Semantics.HachimojiPipeline.scaleInterval - -def -scaleInterval - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.scaleInterval - - -contains - - - -Semantics.HachimojiPipeline.encodeSymbol - -def -encodeSymbol - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.encodeSymbol - - -contains - - - -Semantics.HachimojiPipeline.decodeSymbol - -def -decodeSymbol - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.decodeSymbol - - -contains - - - -Semantics.HachimojiPipeline.initLogLoss - -def -initLogLoss - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.initLogLoss - - -contains - - - -Semantics.HachimojiPipeline.updateLogLoss - -def -updateLogLoss - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.updateLogLoss - - -contains - - - -Semantics.HachimojiPipeline.computeLogLossPerByte - -def -computeLogLossPerByte - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.computeLogLossPerByte - - -contains - - - -Semantics.HachimojiPipeline.computeCompressionRatio - -def -computeCompressionRatio - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.computeCompressionRatio - - -contains - - - -Semantics.HachimojiPipeline.computeCompressionPercentage - -def -computeCompressionPercentage - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.computeCompressionPercentage - - -contains - - - -Semantics.HachimojiPipeline.initDecompressor - -def -initDecompressor - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.initDecompressor - - -contains - - - -Semantics.HachimojiPipeline.readBits - -def -readBits - - - -Semantics.HachimojiPipeline->Semantics.HachimojiPipeline.readBits - - -contains - - - -Semantics.HachimojiSubstitution - -module -HachimojiSubstitution - - - -Semantics.HachimojiSubstitution.HachimojiBase - -theorem -HachimojiBase - - - -Semantics.HachimojiSubstitution->Semantics.HachimojiSubstitution.HachimojiBase - - -contains - - - -Semantics.HachimojiSubstitution.greek_latin_agree - -theorem -greek_latin_agree - - - -Semantics.HachimojiSubstitution->Semantics.HachimojiSubstitution.greek_latin_agree - - -contains - - - -Semantics.HachimojiSubstitution.forward_states_are_normal - -theorem -forward_states_are_normal - - - -Semantics.HachimojiSubstitution->Semantics.HachimojiSubstitution.forward_states_are_normal - - -contains - - - -Semantics.HachimojiSubstitution.hachimojiGreekEquiv - -def -hachimojiGreekEquiv - - - -Semantics.HachimojiSubstitution->Semantics.HachimojiSubstitution.hachimojiGreekEquiv - - -contains - - - -Semantics.HachimojiSubstitution.Greek - -def -Greek - - - -Semantics.HachimojiSubstitution->Semantics.HachimojiSubstitution.Greek - - -contains - - - -Semantics.HachimojiSubstitution->Semantics.HachimojiSubstitution.Greek - - -contains - - - -Semantics.HachimojiSubstitution->Semantics.HachimojiSubstitution.Greek - - -contains - - - -Semantics.HachimojiSubstitution.bitToGreek - -def -bitToGreek - - - -Semantics.HachimojiSubstitution->Semantics.HachimojiSubstitution.bitToGreek - - -contains - - - -Semantics.HachimojiSubstitution.greekToReceiptBits - -def -greekToReceiptBits - - - -Semantics.HachimojiSubstitution->Semantics.HachimojiSubstitution.greekToReceiptBits - - -contains - - - -Semantics.HachimojiSubstitution.greekToRegime - -def -greekToRegime - - - -Semantics.HachimojiSubstitution->Semantics.HachimojiSubstitution.greekToRegime - - -contains - - - -Semantics.HachimojiSubstitution.fromQAOABitstring - -def -fromQAOABitstring - - - -Semantics.HachimojiSubstitution->Semantics.HachimojiSubstitution.fromQAOABitstring - - -contains - - - -Semantics.HachimojiSubstitution.toQAOABitstring - -def -toQAOABitstring - - - -Semantics.HachimojiSubstitution->Semantics.HachimojiSubstitution.toQAOABitstring - - -contains - - - -Semantics.HachimojiSubstitution.knownOmegaStates - -def -knownOmegaStates - - - -Semantics.HachimojiSubstitution->Semantics.HachimojiSubstitution.knownOmegaStates - - -contains - - - -Semantics.HachimojiSubstitution.omegaLogogramReceipt - -def -omegaLogogramReceipt - - - -Semantics.HachimojiSubstitution->Semantics.HachimojiSubstitution.omegaLogogramReceipt - - -contains - - - -Semantics.HamiltonianFormal - -module -HamiltonianFormal - - - -Semantics.HamiltonianFormal->Mathlib.Tactic - - -imports - - - -Semantics.HamiltonianFormal.Dimension - -theorem -Dimension - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.Dimension - - -contains - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.Dimension - - -contains - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.Dimension - - -contains - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.Dimension - - -contains - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.Dimension - - -contains - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.Dimension - - -contains - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.Dimension - - -contains - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.Dimension - - -contains - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.Dimension - - -contains - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.Dimension - - -contains - - - -Semantics.HamiltonianFormal.sqrt_pos_of_pos - -theorem -sqrt_pos_of_pos - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.sqrt_pos_of_pos - - -contains - - - -Semantics.HamiltonianFormal.mul_le_mul_of_pos_left - -theorem -mul_le_mul_of_pos_left - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.mul_le_mul_of_pos_left - - -contains - - - -Semantics.HamiltonianFormal.mul_le_mul_of_pos_right - -theorem -mul_le_mul_of_pos_right - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.mul_le_mul_of_pos_right - - -contains - - - -Semantics.HamiltonianFormal.sq_nonneg_custom - -theorem -sq_nonneg_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.sq_nonneg_custom - - -contains - - - -Semantics.HamiltonianFormal.sqrt_nonneg_custom - -theorem -sqrt_nonneg_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.sqrt_nonneg_custom - - -contains - - - -Semantics.HamiltonianFormal.abs_of_nonneg_custom - -theorem -abs_of_nonneg_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.abs_of_nonneg_custom - - -contains - - - -Semantics.HamiltonianFormal.sqrt_sq_custom_full - -theorem -sqrt_sq_custom_full - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.sqrt_sq_custom_full - - -contains - - - -Semantics.HamiltonianFormal.mul_nonneg_custom - -theorem -mul_nonneg_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.mul_nonneg_custom - - -contains - - - -Semantics.HamiltonianFormal.div_nonneg_custom - -theorem -div_nonneg_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.div_nonneg_custom - - -contains - - - -Semantics.HamiltonianFormal.sqrt_monotone_custom - -theorem -sqrt_monotone_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.sqrt_monotone_custom - - -contains - - - -Semantics.HamiltonianFormal.reciprocal_le_custom - -theorem -reciprocal_le_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.reciprocal_le_custom - - -contains - - - -Semantics.HamiltonianFormal.sqrt_sq_custom - -theorem -sqrt_sq_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.sqrt_sq_custom - - -contains - - - -Semantics.HamiltonianFormal.add_le_add_left_custom - -theorem -add_le_add_left_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.add_le_add_left_custom - - -contains - - - -Semantics.HamiltonianFormal.add_le_add_right_custom - -theorem -add_le_add_right_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.add_le_add_right_custom - - -contains - - - -Semantics.HamiltonianFormal.add_nonneg_custom - -theorem -add_nonneg_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.add_nonneg_custom - - -contains - - - -Semantics.HamiltonianFormal.sq_le_sq_custom - -theorem -sq_le_sq_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.sq_le_sq_custom - - -contains - - - -Semantics.HamiltonianFormal.sqrt_le_sqrt_custom - -theorem -sqrt_le_sqrt_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.sqrt_le_sqrt_custom - - -contains - - - -Semantics.HamiltonianFormal.zero_sq_custom - -theorem -zero_sq_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.zero_sq_custom - - -contains - - - -Semantics.HamiltonianFormal.mul_lt_mul_of_pos_left_custom - -theorem -mul_lt_mul_of_pos_left_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.mul_lt_mul_of_pos_left_custom - - -contains - - - -Semantics.HamiltonianFormal.mul_lt_mul_of_pos_right_custom - -theorem -mul_lt_mul_of_pos_right_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.mul_lt_mul_of_pos_right_custom - - -contains - - - -Semantics.HamiltonianFormal.le_add_of_nonneg_left_custom - -theorem -le_add_of_nonneg_left_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.le_add_of_nonneg_left_custom - - -contains - - - -Semantics.HamiltonianFormal.le_add_of_nonneg_right_custom - -theorem -le_add_of_nonneg_right_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.le_add_of_nonneg_right_custom - - -contains - - - -Semantics.HamiltonianFormal.le_of_lt_custom - -theorem -le_of_lt_custom - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.le_of_lt_custom - - -contains - - - -Semantics.HamiltonianFormal.dimensionless - -def -dimensionless - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.dimensionless - - -contains - - - -Semantics.HamiltonianFormal.massDim - -def -massDim - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.massDim - - -contains - - - -Semantics.HamiltonianFormal.lengthDim - -def -lengthDim - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.lengthDim - - -contains - - - -Semantics.HamiltonianFormal.timeDim - -def -timeDim - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.timeDim - - -contains - - - -Semantics.HamiltonianFormal.velocityDim - -def -velocityDim - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.velocityDim - - -contains - - - -Semantics.HamiltonianFormal.energyDim - -def -energyDim - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.energyDim - - -contains - - - -Semantics.HamiltonianFormal.momentumDim - -def -momentumDim - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.momentumDim - - -contains - - - -Semantics.HamiltonianFormal.GDim - -def -GDim - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.GDim - - -contains - - - -Semantics.HamiltonianFormal.cDim - -def -cDim - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.cDim - - -contains - - - -Semantics.HamiltonianFormal.PositiveMass - -def -PositiveMass - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.PositiveMass - - -contains - - - -Semantics.HamiltonianFormal.PositiveGravitationalConstant - -def -PositiveGravitationalConstant - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.PositiveGravitationalConstant - - -contains - - - -Semantics.HamiltonianFormal.PositiveSoftening - -def -PositiveSoftening - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.PositiveSoftening - - -contains - - - -Semantics.HamiltonianFormal.PositiveLightSpeed - -def -PositiveLightSpeed - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.PositiveLightSpeed - - -contains - - - -Semantics.HamiltonianFormal.PhaseSpace - -def -PhaseSpace - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.PhaseSpace - - -contains - - - -Semantics.HamiltonianFormal.FlowMap - -def -FlowMap - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.FlowMap - - -contains - - - -Semantics.HamiltonianFormal.SymplecticForm - -def -SymplecticForm - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.SymplecticForm - - -contains - - - -Semantics.HamiltonianFormal.PoissonBracket - -def -PoissonBracket - - - -Semantics.HamiltonianFormal->Semantics.HamiltonianFormal.PoissonBracket - - -contains - - - -Semantics.HamiltonianVerification - -module -HamiltonianVerification - - - -Semantics.HamiltonianVerification->Mathlib.Tactic - - -imports - - - -Semantics.HamiltonianVerification.kineticEnergyDimensionalConsistency - -theorem -kineticEnergyDimensionalConsistency - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.kineticEnergyDimensionalConsistency - - -contains - - - -Semantics.HamiltonianVerification.regularizedPotentialDimensionalConsistency - -theorem -regularizedPotentialDimensionalConsisten - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.regularizedPotentialDimensionalConsistency - - -contains - - - -Semantics.HamiltonianVerification.threeBodyCorrectionDimensionalRequirement - -theorem -threeBodyCorrectionDimensionalRequiremen - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.threeBodyCorrectionDimensionalRequirement - - -contains - - - -Semantics.HamiltonianVerification.velocityDependentTermDimensionalConsistency - -theorem -velocityDependentTermDimensionalConsiste - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.velocityDependentTermDimensionalConsistency - - -contains - - - -Semantics.HamiltonianVerification.fieldEquationDimensionalConsistency - -theorem -fieldEquationDimensionalConsistency - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.fieldEquationDimensionalConsistency - - -contains - - - -Semantics.HamiltonianVerification.lambdaKappa1DimensionalMismatch - -theorem -lambdaKappa1DimensionalMismatch - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.lambdaKappa1DimensionalMismatch - - -contains - - - -Semantics.HamiltonianVerification.lambdaKappa3DimensionalConsistency - -theorem -lambdaKappa3DimensionalConsistency - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.lambdaKappa3DimensionalConsistency - - -contains - - - -Semantics.HamiltonianVerification.phaseSpaceNormDimensionalHomogeneity - -theorem -phaseSpaceNormDimensionalHomogeneity - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.phaseSpaceNormDimensionalHomogeneity - - -contains - - - -Semantics.HamiltonianVerification.regularizedPotentialFiniteAtCollision - -theorem -regularizedPotentialFiniteAtCollision - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.regularizedPotentialFiniteAtCollision - - -contains - - - -Semantics.HamiltonianVerification.phiEffInitialConditionsWellPosed - -theorem -phiEffInitialConditionsWellPosed - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.phiEffInitialConditionsWellPosed - - -contains - - - -Semantics.HamiltonianVerification.parameterSystemLocallyClosed - -theorem -parameterSystemLocallyClosed - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.parameterSystemLocallyClosed - - -contains - - - -Semantics.HamiltonianVerification.spectralAssumptionsRelaxed - -theorem -spectralAssumptionsRelaxed - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.spectralAssumptionsRelaxed - - -contains - - - -Semantics.HamiltonianVerification.tDependenceConvexityBoundResolved - -theorem -tDependenceConvexityBoundResolved - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.tDependenceConvexityBoundResolved - - -contains - - - -Semantics.HamiltonianVerification.regularizedPotentialZeroSeparation - -theorem -regularizedPotentialZeroSeparation - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.regularizedPotentialZeroSeparation - - -contains - - - -Semantics.HamiltonianVerification.regularizedPotentialNewtonianLimit - -theorem -regularizedPotentialNewtonianLimit - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.regularizedPotentialNewtonianLimit - - -contains - - - -Semantics.HamiltonianVerification.threeBodyCorrectionCoincidenceVanishing - -theorem -threeBodyCorrectionCoincidenceVanishing - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.threeBodyCorrectionCoincidenceVanishing - - -contains - - - -Semantics.HamiltonianVerification.kineticEnergyNonNegative - -theorem -kineticEnergyNonNegative - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.kineticEnergyNonNegative - - -contains - - - -Semantics.HamiltonianVerification.regularizedPotentialBoundedBelow - -theorem -regularizedPotentialBoundedBelow - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.regularizedPotentialBoundedBelow - - -contains - - - -Semantics.HamiltonianVerification.velocityDependentTermsBounded - -theorem -velocityDependentTermsBounded - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.velocityDependentTermsBounded - - -contains - - - -Semantics.HamiltonianVerification.errorFunctionalNonNegative - -theorem -errorFunctionalNonNegative - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.errorFunctionalNonNegative - - -contains - - - -Semantics.HamiltonianVerification.verificationBoundMeaningful - -theorem -verificationBoundMeaningful - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.verificationBoundMeaningful - - -contains - - - -Semantics.HamiltonianVerification.symplecticFormPreservation - -theorem -symplecticFormPreservation - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.symplecticFormPreservation - - -contains - - - -Semantics.HamiltonianVerification.hamiltonianConservation - -theorem -hamiltonianConservation - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.hamiltonianConservation - - -contains - - - -Semantics.HamiltonianVerification.coupledSystemWellPosed - -theorem -coupledSystemWellPosed - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.coupledSystemWellPosed - - -contains - - - -Semantics.HamiltonianVerification.hamiltonianEquationDependencies - -theorem -hamiltonianEquationDependencies - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.hamiltonianEquationDependencies - - -contains - - - -Semantics.HamiltonianVerification.hamiltonsEquationsDependencies - -theorem -hamiltonsEquationsDependencies - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.hamiltonsEquationsDependencies - - -contains - - - -Semantics.HamiltonianVerification.errorFunctionalDependencies - -theorem -errorFunctionalDependencies - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.errorFunctionalDependencies - - -contains - - - -Semantics.HamiltonianVerification.normDependencies - -theorem -normDependencies - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.normDependencies - - -contains - - - -Semantics.HamiltonianVerification.adjointEquationDependencies - -theorem -adjointEquationDependencies - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.adjointEquationDependencies - - -contains - - - -Semantics.HamiltonianVerification.firstOrderConditionDependencies - -theorem -firstOrderConditionDependencies - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.firstOrderConditionDependencies - - -contains - - - -Semantics.HamiltonianVerification.inverseAreaDim - -def -inverseAreaDim - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.inverseAreaDim - - -contains - - - -Semantics.HamiltonianVerification.massDensityDim - -def -massDensityDim - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.massDensityDim - - -contains - - - -Semantics.HamiltonianVerification.gravitationalPotentialDim - -def -gravitationalPotentialDim - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.gravitationalPotentialDim - - -contains - - - -Semantics.HamiltonianVerification.waveOperatorDim - -def -waveOperatorDim - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.waveOperatorDim - - -contains - - - -Semantics.HamiltonianVerification.threeBodyQuadrupoleDim - -def -threeBodyQuadrupoleDim - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.threeBodyQuadrupoleDim - - -contains - - - -Semantics.HamiltonianVerification.beta1Dim - -def -beta1Dim - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.beta1Dim - - -contains - - - -Semantics.HamiltonianVerification.geometricLengthPower - -def -geometricLengthPower - - - -Semantics.HamiltonianVerification->Semantics.HamiltonianVerification.geometricLengthPower - - -contains - - - -Semantics.Hardware.AdaptiveFabric - -module -AdaptiveFabric - - - -Semantics.Hardware.AdaptiveFabric.state_determined_by_sluq - -theorem -state_determined_by_sluq - - - -Semantics.Hardware.AdaptiveFabric->Semantics.Hardware.AdaptiveFabric.state_determined_by_sluq - - -contains - - - -Semantics.Hardware.AdaptiveFabric.CMYKState - -def -CMYKState - - - -Semantics.Hardware.AdaptiveFabric->Semantics.Hardware.AdaptiveFabric.CMYKState - - -contains - - - -Semantics.Hardware.AdaptiveFabric.classifySluqAcc - -def -classifySluqAcc - - - -Semantics.Hardware.AdaptiveFabric->Semantics.Hardware.AdaptiveFabric.classifySluqAcc - - -contains - - - -Semantics.Hardware.AdaptiveFabric.step - -def -step - - - -Semantics.Hardware.AdaptiveFabric->Semantics.Hardware.AdaptiveFabric.step - - -contains - - - -Semantics.Hardware.AdaptiveFabric.testConfig - -def -testConfig - - - -Semantics.Hardware.AdaptiveFabric->Semantics.Hardware.AdaptiveFabric.testConfig - - -contains - - - -Semantics.Hardware.AdaptiveFabric.initialState - -def -initialState - - - -Semantics.Hardware.AdaptiveFabric->Semantics.Hardware.AdaptiveFabric.initialState - - -contains - - - -Semantics.Hardware.AgenticHardware - -module -AgenticHardware - - - -Semantics.Hardware.AgenticHardware->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.Hardware.AgenticHardware.computeAgentChristoffel - -def -computeAgentChristoffel - - - -Semantics.Hardware.AgenticHardware->Semantics.Hardware.AgenticHardware.computeAgentChristoffel - - -contains - - - -Semantics.Hardware.AgenticHardware.agentCos - -def -agentCos - - - -Semantics.Hardware.AgenticHardware->Semantics.Hardware.AgenticHardware.agentCos - - -contains - - - -Semantics.Hardware.AgenticHardware.computeAgentFrustration - -def -computeAgentFrustration - - - -Semantics.Hardware.AgenticHardware->Semantics.Hardware.AgenticHardware.computeAgentFrustration - - -contains - - - -Semantics.Hardware.AgenticHardware.computeAgentLockingEnergy - -def -computeAgentLockingEnergy - - - -Semantics.Hardware.AgenticHardware->Semantics.Hardware.AgenticHardware.computeAgentLockingEnergy - - -contains - - - -Semantics.Hardware.AgenticHardware.updateAgentStateFromGeometry - -def -updateAgentStateFromGeometry - - - -Semantics.Hardware.AgenticHardware->Semantics.Hardware.AgenticHardware.updateAgentStateFromGeometry - - -contains - - - -Semantics.Hardware.AgenticHardware.updateAgentStateFromChristoffel - -def -updateAgentStateFromChristoffel - - - -Semantics.Hardware.AgenticHardware->Semantics.Hardware.AgenticHardware.updateAgentStateFromChristoffel - - -contains - - - -Semantics.Hardware.Blitter6502OISC - -module -Blitter6502OISC - - - -Semantics.Hardware.Blitter6502OISC.blitter_bPlusEqualsBZeroPlusOne - -theorem -blitter_bPlusEqualsBZeroPlusOne - - - -Semantics.Hardware.Blitter6502OISC->Semantics.Hardware.Blitter6502OISC.blitter_bPlusEqualsBZeroPlusOne - - -contains - - - -Semantics.Hardware.Blitter6502OISC.blitter_throatAtShellMidpoint - -theorem -blitter_throatAtShellMidpoint - - - -Semantics.Hardware.Blitter6502OISC->Semantics.Hardware.Blitter6502OISC.blitter_throatAtShellMidpoint - - -contains - - - -Semantics.Hardware.Blitter6502OISC.blitter_emitGateSimplified - -theorem -blitter_emitGateSimplified - - - -Semantics.Hardware.Blitter6502OISC->Semantics.Hardware.Blitter6502OISC.blitter_emitGateSimplified - - -contains - - - -Semantics.Hardware.Blitter6502OISC.sqrtLUT8 - -def -sqrtLUT8 - - - -Semantics.Hardware.Blitter6502OISC->Semantics.Hardware.Blitter6502OISC.sqrtLUT8 - - -contains - - - -Semantics.Hardware.Blitter6502OISC.mirrorTerm - -def -mirrorTerm - - - -Semantics.Hardware.Blitter6502OISC->Semantics.Hardware.Blitter6502OISC.mirrorTerm - - -contains - - - -Semantics.Hardware.Blitter6502OISC.initCPU - -def -initCPU - - - -Semantics.Hardware.Blitter6502OISC->Semantics.Hardware.Blitter6502OISC.initCPU - - -contains - - - -Semantics.Hardware.EmergencyBootShell - -module -EmergencyBootShell - - - -Semantics.Hardware.EmergencyBootShell.commandOpcode_roundTrip - -theorem -commandOpcode_roundTrip - - - -Semantics.Hardware.EmergencyBootShell->Semantics.Hardware.EmergencyBootShell.commandOpcode_roundTrip - - -contains - - - -Semantics.Hardware.EmergencyBootShell.commandOpcode - -def -commandOpcode - - - -Semantics.Hardware.EmergencyBootShell->Semantics.Hardware.EmergencyBootShell.commandOpcode - - -contains - - - -Semantics.Hardware.EmergencyBootShell.parseOpcode - -def -parseOpcode - - - -Semantics.Hardware.EmergencyBootShell->Semantics.Hardware.EmergencyBootShell.parseOpcode - - -contains - - - -Semantics.Hardware.EmergencyBootShell.statusByteToUInt8 - -def -statusByteToUInt8 - - - -Semantics.Hardware.EmergencyBootShell->Semantics.Hardware.EmergencyBootShell.statusByteToUInt8 - - -contains - - - -Semantics.Hardware.EmergencyBootShell.uint8ToStatusByte - -def -uint8ToStatusByte - - - -Semantics.Hardware.EmergencyBootShell->Semantics.Hardware.EmergencyBootShell.uint8ToStatusByte - - -contains - - - -Semantics.Hardware.EmergencyBootShell.statusFromBootState - -def -statusFromBootState - - - -Semantics.Hardware.EmergencyBootShell->Semantics.Hardware.EmergencyBootShell.statusFromBootState - - -contains - - - -Semantics.Hardware.EmergencyBootShell.executeCommand - -def -executeCommand - - - -Semantics.Hardware.EmergencyBootShell->Semantics.Hardware.EmergencyBootShell.executeCommand - - -contains - - - -Semantics.Hardware.EmergencyBootState - -module -EmergencyBootState - - - -Semantics.Hardware.EmergencyBootState.utilizationWithinBounds - -theorem -utilizationWithinBounds - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.utilizationWithinBounds - - -contains - - - -Semantics.Hardware.EmergencyBootState.seedAssemblyDeterministic - -theorem -seedAssemblyDeterministic - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.seedAssemblyDeterministic - - -contains - - - -Semantics.Hardware.EmergencyBootState.powerFailureMonotonic - -theorem -powerFailureMonotonic - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.powerFailureMonotonic - - -contains - - - -Semantics.Hardware.EmergencyBootState.selfPowerSufficient - -def -selfPowerSufficient - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.selfPowerSufficient - - -contains - - - -Semantics.Hardware.EmergencyBootState.powerFailureDetected - -def -powerFailureDetected - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.powerFailureDetected - - -contains - - - -Semantics.Hardware.EmergencyBootState.prioritizeHotOpticalPaths - -def -prioritizeHotOpticalPaths - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.prioritizeHotOpticalPaths - - -contains - - - -Semantics.Hardware.EmergencyBootState.enterCalculatorMode - -def -enterCalculatorMode - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.enterCalculatorMode - - -contains - - - -Semantics.Hardware.EmergencyBootState.initScanState - -def -initScanState - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.initScanState - - -contains - - - -Semantics.Hardware.EmergencyBootState.scanStep - -def -scanStep - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.scanStep - - -contains - - - -Semantics.Hardware.EmergencyBootState.assembleSeed - -def -assembleSeed - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.assembleSeed - - -contains - - - -Semantics.Hardware.EmergencyBootState.assembleAugmentedSeed - -def -assembleAugmentedSeed - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.assembleAugmentedSeed - - -contains - - - -Semantics.Hardware.EmergencyBootState.emergencyBootUtilization - -def -emergencyBootUtilization - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.emergencyBootUtilization - - -contains - - - -Semantics.Hardware.EmergencyBootState.initEmergencyBoot - -def -initEmergencyBoot - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.initEmergencyBoot - - -contains - - - -Semantics.Hardware.EmergencyBootState.handlePowerFailure - -def -handlePowerFailure - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.handlePowerFailure - - -contains - - - -Semantics.Hardware.EmergencyBootState.startScan - -def -startScan - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.startScan - - -contains - - - -Semantics.Hardware.EmergencyBootState.finishScan - -def -finishScan - - - -Semantics.Hardware.EmergencyBootState->Semantics.Hardware.EmergencyBootState.finishScan - - -contains - - - -Semantics.Hardware.EmergencyBootTypes - -module -EmergencyBootTypes - - - -Semantics.Hardware.EmergencyBootTypes.hexToSpatialHash - -def -hexToSpatialHash - - - -Semantics.Hardware.EmergencyBootTypes->Semantics.Hardware.EmergencyBootTypes.hexToSpatialHash - - -contains - - - -Semantics.Hardware.EmergencyBootTypes.capClassToBits - -def -capClassToBits - - - -Semantics.Hardware.EmergencyBootTypes->Semantics.Hardware.EmergencyBootTypes.capClassToBits - - -contains - - - -Semantics.Hardware.EmergencyBootTypes.topologyHash - -def -topologyHash - - - -Semantics.Hardware.EmergencyBootTypes->Semantics.Hardware.EmergencyBootTypes.topologyHash - - -contains - - - -Semantics.Hardware.EmergencyBootTypes.computeDifferential - -def -computeDifferential - - - -Semantics.Hardware.EmergencyBootTypes->Semantics.Hardware.EmergencyBootTypes.computeDifferential - - -contains - - - -Semantics.Hardware.EmergencyBootTypes.voltageToAnalogValue - -def -voltageToAnalogValue - - - -Semantics.Hardware.EmergencyBootTypes->Semantics.Hardware.EmergencyBootTypes.voltageToAnalogValue - - -contains - - - -Semantics.Hardware.EmergencyBootTypes.analogValueToVoltage - -def -analogValueToVoltage - - - -Semantics.Hardware.EmergencyBootTypes->Semantics.Hardware.EmergencyBootTypes.analogValueToVoltage - - -contains - - - -Semantics.Hardware.EmergencyBootTypes.voltageLogic - -def -voltageLogic - - - -Semantics.Hardware.EmergencyBootTypes->Semantics.Hardware.EmergencyBootTypes.voltageLogic - - -contains - - - -Semantics.Hardware.EmergencyBootTypes.hybridComputation - -def -hybridComputation - - - -Semantics.Hardware.EmergencyBootTypes->Semantics.Hardware.EmergencyBootTypes.hybridComputation - - -contains - - - -Semantics.Hardware.EmergencyBootTypes.memristorConductance - -def -memristorConductance - - - -Semantics.Hardware.EmergencyBootTypes->Semantics.Hardware.EmergencyBootTypes.memristorConductance - - -contains - - - -Semantics.Hardware.EmergencyBootTypes.memristorUpdate - -def -memristorUpdate - - - -Semantics.Hardware.EmergencyBootTypes->Semantics.Hardware.EmergencyBootTypes.memristorUpdate - - -contains - - - -Semantics.Hardware.EmergencyBootTypes.verifyMemoryRetention - -def -verifyMemoryRetention - - - -Semantics.Hardware.EmergencyBootTypes->Semantics.Hardware.EmergencyBootTypes.verifyMemoryRetention - - -contains - - - -Semantics.Hardware.EmergencyBootTypes.grapheneProperties - -def -grapheneProperties - - - -Semantics.Hardware.EmergencyBootTypes->Semantics.Hardware.EmergencyBootTypes.grapheneProperties - - -contains - - - -Semantics.Hardware.EmergencyBootTypes.ganProperties - -def -ganProperties - - - -Semantics.Hardware.EmergencyBootTypes->Semantics.Hardware.EmergencyBootTypes.ganProperties - - -contains - - - -Semantics.Hardware.HardwareExtraction - -module -HardwareExtraction - - - -Semantics.Hardware.HardwareExtraction.verilogCounterMatchesLean - -theorem -verilogCounterMatchesLean - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.verilogCounterMatchesLean - - -contains - - - -Semantics.Hardware.HardwareExtraction.bluespecCounterMatchesLean - -theorem -bluespecCounterMatchesLean - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.bluespecCounterMatchesLean - - -contains - - - -Semantics.Hardware.HardwareExtraction.fsmTransitionDeterministic - -theorem -fsmTransitionDeterministic - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.fsmTransitionDeterministic - - -contains - - - -Semantics.Hardware.HardwareExtraction.mutexMutualExclusion - -theorem -mutexMutualExclusion - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.mutexMutualExclusion - - -contains - - - -Semantics.Hardware.HardwareExtraction.incrementCounter - -def -incrementCounter - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.incrementCounter - - -contains - - - -Semantics.Hardware.HardwareExtraction.extractCounterToVerilog - -def -extractCounterToVerilog - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.extractCounterToVerilog - - -contains - - - -Semantics.Hardware.HardwareExtraction.extractCounterToBluespec - -def -extractCounterToBluespec - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.extractCounterToBluespec - - -contains - - - -Semantics.Hardware.HardwareExtraction.fsmTransition - -def -fsmTransition - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.fsmTransition - - -contains - - - -Semantics.Hardware.HardwareExtraction.extractFSMToVerilog - -def -extractFSMToVerilog - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.extractFSMToVerilog - - -contains - - - -Semantics.Hardware.HardwareExtraction.extractFSMToBluespec - -def -extractFSMToBluespec - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.extractFSMToBluespec - - -contains - - - -Semantics.Hardware.HardwareExtraction.tryAcquireLock - -def -tryAcquireLock - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.tryAcquireLock - - -contains - - - -Semantics.Hardware.HardwareExtraction.releaseLock - -def -releaseLock - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.releaseLock - - -contains - - - -Semantics.Hardware.HardwareExtraction.extractMutexToVerilog - -def -extractMutexToVerilog - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.extractMutexToVerilog - - -contains - - - -Semantics.Hardware.HardwareExtraction.extractMutexToBluespec - -def -extractMutexToBluespec - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.extractMutexToBluespec - - -contains - - - -Semantics.Hardware.HardwareExtraction.isFairMutex - -def -isFairMutex - - - -Semantics.Hardware.HardwareExtraction->Semantics.Hardware.HardwareExtraction.isFairMutex - - -contains - - - -Semantics.Hardware.LaserPathCell - -module -LaserPathCell - - - -Semantics.Hardware.LaserPathCell.ofUInt16 - -def -ofUInt16 - - - -Semantics.Hardware.LaserPathCell->Semantics.Hardware.LaserPathCell.ofUInt16 - - -contains - - - -Semantics.Hardware.LaserPathCell.ofUInt8 - -def -ofUInt8 - - - -Semantics.Hardware.LaserPathCell->Semantics.Hardware.LaserPathCell.ofUInt8 - - -contains - - - -Semantics.Hardware.LaserPathCell.default - -def -default - - - -Semantics.Hardware.LaserPathCell->Semantics.Hardware.LaserPathCell.default - - -contains - - - -Semantics.Hardware.LaserPathCell.thermalLoad - -def -thermalLoad - - - -Semantics.Hardware.LaserPathCell->Semantics.Hardware.LaserPathCell.thermalLoad - - -contains - - - -Semantics.Hardware.LaserPathCell.shellToLaserCell - -def -shellToLaserCell - - - -Semantics.Hardware.LaserPathCell->Semantics.Hardware.LaserPathCell.shellToLaserCell - - -contains - - - -Semantics.Hardware.LaserPathCell.selectScanStrategy - -def -selectScanStrategy - - - -Semantics.Hardware.LaserPathCell->Semantics.Hardware.LaserPathCell.selectScanStrategy - - -contains - - - -Semantics.Hardware.LaserPathCell.applyScan - -def -applyScan - - - -Semantics.Hardware.LaserPathCell->Semantics.Hardware.LaserPathCell.applyScan - - -contains - - - -Semantics.Hardware.LaserPathCell.laserColdWeldEnergy - -def -laserColdWeldEnergy - - - -Semantics.Hardware.LaserPathCell->Semantics.Hardware.LaserPathCell.laserColdWeldEnergy - - -contains - - - -Semantics.Hardware.LaserPathCell.isGoodWeld - -def -isGoodWeld - - - -Semantics.Hardware.LaserPathCell->Semantics.Hardware.LaserPathCell.isGoodWeld - - -contains - - - -Semantics.Hardware.LaserPathCell.cellIndex - -def -cellIndex - - - -Semantics.Hardware.LaserPathCell->Semantics.Hardware.LaserPathCell.cellIndex - - -contains - - - -Semantics.Hardware.LaserPathCell.updateCellRow - -def -updateCellRow - - - -Semantics.Hardware.LaserPathCell->Semantics.Hardware.LaserPathCell.updateCellRow - - -contains - - - -Semantics.Hardware.LaserPathCell.meshRepresentationSize - -def -meshRepresentationSize - - - -Semantics.Hardware.LaserPathCell->Semantics.Hardware.LaserPathCell.meshRepresentationSize - - -contains - - - -Semantics.Hardware.LaserPathCell.laserCellRepresentationSize - -def -laserCellRepresentationSize - - - -Semantics.Hardware.LaserPathCell->Semantics.Hardware.LaserPathCell.laserCellRepresentationSize - - -contains - - - -Semantics.Hardware.LaserPathCell.memoryReductionRatio - -def -memoryReductionRatio - - - -Semantics.Hardware.LaserPathCell->Semantics.Hardware.LaserPathCell.memoryReductionRatio - - -contains - - - -Semantics.Hardware.TangNano9K.BitstreamWitness - -module -BitstreamWitness - - - -Semantics.Hardware.TangNano9K.BitstreamWitness.expectedBitstreamSha256 - -def -expectedBitstreamSha256 - - - -Semantics.Hardware.TangNano9K.BitstreamWitness->Semantics.Hardware.TangNano9K.BitstreamWitness.expectedBitstreamSha256 - - -contains - - - -Semantics.Hardware.TangNano9K.BitstreamWitness.checkBitstreamWitness - -def -checkBitstreamWitness - - - -Semantics.Hardware.TangNano9K.BitstreamWitness->Semantics.Hardware.TangNano9K.BitstreamWitness.checkBitstreamWitness - - -contains - - - -Semantics.Hardware.TangNano9K - -module -TangNano9K - - - -Semantics.Hardware.TangNano9K.BitstreamWitness->Semantics.Hardware.TangNano9K - - -imports - - - -Semantics.Hardware.TangNano9K.NIICore - -module -NIICore - - - -Semantics.Hardware.TangNano9K.NIICore->Mathlib.Data.Int.Basic - - -imports - - - -Semantics.Hardware.TangNano9K.NIICore.niiOutputBounded - -theorem -niiOutputBounded - - - -Semantics.Hardware.TangNano9K.NIICore->Semantics.Hardware.TangNano9K.NIICore.niiOutputBounded - - -contains - - - -Semantics.Hardware.TangNano9K.NIICore.clamp - -def -clamp - - - -Semantics.Hardware.TangNano9K.NIICore->Semantics.Hardware.TangNano9K.NIICore.clamp - - -contains - - - -Semantics.Hardware.TangNano9K.NIICore.niiStep - -def -niiStep - - - -Semantics.Hardware.TangNano9K.NIICore->Semantics.Hardware.TangNano9K.NIICore.niiStep - - -contains - - - -Semantics.Hardware.TangNano9K.NIICore.emitNIICore - -def -emitNIICore - - - -Semantics.Hardware.TangNano9K.NIICore->Semantics.Hardware.TangNano9K.NIICore.emitNIICore - - -contains - - - -Semantics.Hardware.TangNano9K.NIICore.checkNIICoreWitness - -def -checkNIICoreWitness - - - -Semantics.Hardware.TangNano9K.NIICore->Semantics.Hardware.TangNano9K.NIICore.checkNIICoreWitness - - -contains - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM - -module -RGFlowFAMM - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM->Mathlib.Data.Int.Basic - - -imports - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM.rgflowSigmaBounded - -theorem -rgflowSigmaBounded - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM->Semantics.Hardware.TangNano9K.RGFlowFAMM.rgflowSigmaBounded - - -contains - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM.rgflowRPBounded - -theorem -rgflowRPBounded - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM->Semantics.Hardware.TangNano9K.RGFlowFAMM.rgflowRPBounded - - -contains - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM.sat8Add - -def -sat8Add - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM->Semantics.Hardware.TangNano9K.RGFlowFAMM.sat8Add - - -contains - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM.linDecay - -def -linDecay - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM->Semantics.Hardware.TangNano9K.RGFlowFAMM.linDecay - - -contains - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM.absS - -def -absS - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM->Semantics.Hardware.TangNano9K.RGFlowFAMM.absS - - -contains - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM.rgflowStep - -def -rgflowStep - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM->Semantics.Hardware.TangNano9K.RGFlowFAMM.rgflowStep - - -contains - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM.fammUpdate - -def -fammUpdate - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM->Semantics.Hardware.TangNano9K.RGFlowFAMM.fammUpdate - - -contains - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM.emitRGFlowFAMM - -def -emitRGFlowFAMM - - - -Semantics.Hardware.TangNano9K.RGFlowFAMM->Semantics.Hardware.TangNano9K.RGFlowFAMM.emitRGFlowFAMM - - -contains - - - -Semantics.Hardware.TangNano9K->Semantics.Genome18 - - -imports - - - -Semantics.Hardware.TangNano9K.verilogAddr_eq_addr - -theorem -verilogAddr_eq_addr - - - -Semantics.Hardware.TangNano9K->Semantics.Hardware.TangNano9K.verilogAddr_eq_addr - - -contains - - - -Semantics.Hardware.TangNano9K.verilogAddr - -def -verilogAddr - - - -Semantics.Hardware.TangNano9K->Semantics.Hardware.TangNano9K.verilogAddr - - -contains - - - -Semantics.Hardware.TangNano9K.emitGenome18Address - -def -emitGenome18Address - - - -Semantics.Hardware.TangNano9K->Semantics.Hardware.TangNano9K.emitGenome18Address - - -contains - - - -Semantics.Hardware.TangNano9K.emitQ16_16ALU - -def -emitQ16_16ALU - - - -Semantics.Hardware.TangNano9K->Semantics.Hardware.TangNano9K.emitQ16_16ALU - - -contains - - - -Semantics.Hardware.TangNano9K.checkAllGenome18 - -def -checkAllGenome18 - - - -Semantics.Hardware.TangNano9K->Semantics.Hardware.TangNano9K.checkAllGenome18 - - -contains - - - -Semantics.HermesAgentIntegration - -module -HermesAgentIntegration - - - -Semantics.HermesAgentIntegration.readOnlyCannotPromote - -theorem -readOnlyCannotPromote - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.readOnlyCannotPromote - - -contains - - - -Semantics.HermesAgentIntegration.emptyReceiptsVacuousPromote - -theorem -emptyReceiptsVacuousPromote - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.emptyReceiptsVacuousPromote - - -contains - - - -Semantics.HermesAgentIntegration.defaultStatusIsHold - -theorem -defaultStatusIsHold - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.defaultStatusIsHold - - -contains - - - -Semantics.HermesAgentIntegration.toString - -def -toString - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.toString - - -contains - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.toString - - -contains - - - -Semantics.HermesAgentIntegration.all - -def -all - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.all - - -contains - - - -Semantics.HermesAgentIntegration.defaultHermesStatus - -def -defaultHermesStatus - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.defaultHermesStatus - - -contains - - - -Semantics.HermesAgentIntegration.isReadOnly - -def -isReadOnly - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.isReadOnly - - -contains - - - -Semantics.HermesAgentIntegration.requiresReceipts - -def -requiresReceipts - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.requiresReceipts - - -contains - - - -Semantics.HermesAgentIntegration.canPromote - -def -canPromote - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.canPromote - - -contains - - - -Semantics.HermesAgentIntegration.gclProvenanceCff - -def -gclProvenanceCff - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.gclProvenanceCff - - -contains - - - -Semantics.HermesAgentIntegration.leanSorryAudit - -def -leanSorryAudit - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.leanSorryAudit - - -contains - - - -Semantics.HermesAgentIntegration.adapterSpecWriter - -def -adapterSpecWriter - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.adapterSpecWriter - - -contains - - - -Semantics.HermesAgentIntegration.deepseekReviewBundle - -def -deepseekReviewBundle - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.deepseekReviewBundle - - -contains - - - -Semantics.HermesAgentIntegration.wardenTriage - -def -wardenTriage - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.wardenTriage - - -contains - - - -Semantics.HermesAgentIntegration.skillRunToReceiptCore - -def -skillRunToReceiptCore - - - -Semantics.HermesAgentIntegration->Semantics.HermesAgentIntegration.skillRunToReceiptCore - - -contains - - - -Semantics.HexLogogramAtlas - -module -HexLogogramAtlas - - - -Semantics.HexLogogramAtlas.smallAffineReplayGroups - -theorem -smallAffineReplayGroups - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.smallAffineReplayGroups - - -contains - - - -Semantics.HexLogogramAtlas.canonicalHexAtlasPromotable - -theorem -canonicalHexAtlasPromotable - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.canonicalHexAtlasPromotable - - -contains - - - -Semantics.HexLogogramAtlas.tinyHexAtlasNotPromotable - -theorem -tinyHexAtlasNotPromotable - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.tinyHexAtlasNotPromotable - - -contains - - - -Semantics.HexLogogramAtlas.badHexBaseAtlasNotPromotable - -theorem -badHexBaseAtlasNotPromotable - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.badHexBaseAtlasNotPromotable - - -contains - - - -Semantics.HexLogogramAtlas.badGroupAtlasNotPromotable - -theorem -badGroupAtlasNotPromotable - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.badGroupAtlasNotPromotable - - -contains - - - -Semantics.HexLogogramAtlas.promotableAtlasStructurallyValid - -theorem -promotableAtlasStructurallyValid - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.promotableAtlasStructurallyValid - - -contains - - - -Semantics.HexLogogramAtlas.promotableAtlasSatisfiesByteLaw - -theorem -promotableAtlasSatisfiesByteLaw - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.promotableAtlasSatisfiesByteLaw - - -contains - - - -Semantics.HexLogogramAtlas.expectedHexBase - -def -expectedHexBase - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.expectedHexBase - - -contains - - - -Semantics.HexLogogramAtlas.atlasStructurallyValid - -def -atlasStructurallyValid - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.atlasStructurallyValid - - -contains - - - -Semantics.HexLogogramAtlas.atlasRawValueAt - -def -atlasRawValueAt - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.atlasRawValueAt - - -contains - - - -Semantics.HexLogogramAtlas.atlasGroupAt - -def -atlasGroupAt - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.atlasGroupAt - - -contains - - - -Semantics.HexLogogramAtlas.replayAtlasGroups - -def -replayAtlasGroups - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.replayAtlasGroups - - -contains - - - -Semantics.HexLogogramAtlas.explicitAtlasBytes - -def -explicitAtlasBytes - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.explicitAtlasBytes - - -contains - - - -Semantics.HexLogogramAtlas.atlasEncodedBytes - -def -atlasEncodedBytes - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.atlasEncodedBytes - - -contains - - - -Semantics.HexLogogramAtlas.atlasByteLawHolds - -def -atlasByteLawHolds - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.atlasByteLawHolds - - -contains - - - -Semantics.HexLogogramAtlas.atlasPromotable - -def -atlasPromotable - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.atlasPromotable - - -contains - - - -Semantics.HexLogogramAtlas.smallAffineAtlas - -def -smallAffineAtlas - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.smallAffineAtlas - - -contains - - - -Semantics.HexLogogramAtlas.canonicalHexAtlas - -def -canonicalHexAtlas - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.canonicalHexAtlas - - -contains - - - -Semantics.HexLogogramAtlas.tinyHexAtlas - -def -tinyHexAtlas - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.tinyHexAtlas - - -contains - - - -Semantics.HexLogogramAtlas.badHexBaseAtlas - -def -badHexBaseAtlas - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.badHexBaseAtlas - - -contains - - - -Semantics.HexLogogramAtlas.badGroupAtlas - -def -badGroupAtlas - - - -Semantics.HexLogogramAtlas->Semantics.HexLogogramAtlas.badGroupAtlas - - -contains - - - -Semantics.HolographicProjection - -module -HolographicProjection - - - -Semantics.HolographicProjection->Semantics.FixedPoint - - -imports - - - -Semantics.HolographicProjection.lawfulActionReducesEntropy - -theorem -lawfulActionReducesEntropy - - - -Semantics.HolographicProjection->Semantics.HolographicProjection.lawfulActionReducesEntropy - - -contains - - - -Semantics.HolographicProjection.holographicProjectionPreservesCoherence - -theorem -holographicProjectionPreservesCoherence - - - -Semantics.HolographicProjection->Semantics.HolographicProjection.holographicProjectionPreservesCoherence - - -contains - - - -Semantics.HolographicProjection.projectionKernel - -def -projectionKernel - - - -Semantics.HolographicProjection->Semantics.HolographicProjection.projectionKernel - - -contains - - - -Semantics.HolographicProjection.holographicProjection - -def -holographicProjection - - - -Semantics.HolographicProjection->Semantics.HolographicProjection.holographicProjection - - -contains - - - -Semantics.HolographicProjection.entropyReduction - -def -entropyReduction - - - -Semantics.HolographicProjection->Semantics.HolographicProjection.entropyReduction - - -contains - - - -Semantics.HolographicProjection.isStabilized - -def -isStabilized - - - -Semantics.HolographicProjection->Semantics.HolographicProjection.isStabilized - - -contains - - - -Semantics.HolographicProjection.applyStabilization - -def -applyStabilization - - - -Semantics.HolographicProjection->Semantics.HolographicProjection.applyStabilization - - -contains - - - -Semantics.HolographicProjection.calculateStabilizationProbability - -def -calculateStabilizationProbability - - - -Semantics.HolographicProjection->Semantics.HolographicProjection.calculateStabilizationProbability - - -contains - - - -Semantics.HolographicProjection.isHolographicActionLawful - -def -isHolographicActionLawful - - - -Semantics.HolographicProjection->Semantics.HolographicProjection.isHolographicActionLawful - - -contains - - - -Semantics.HolographicProjection.updateSurfacePoint - -def -updateSurfacePoint - - - -Semantics.HolographicProjection->Semantics.HolographicProjection.updateSurfacePoint - - -contains - - - -Semantics.HolographicProjection.holographicBind - -def -holographicBind - - - -Semantics.HolographicProjection->Semantics.HolographicProjection.holographicBind - - -contains - - - -Semantics.HonestParameterReport - -module -HonestParameterReport - - - -Semantics.HonestParameterReport.for - -theorem -for - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.for - - -contains - - - -Semantics.HonestParameterReport.totalParameterCount_is13 - -theorem -totalParameterCount_is13 - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.totalParameterCount_is13 - - -contains - - - -Semantics.HonestParameterReport.fittedCount_is4 - -theorem -fittedCount_is4 - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.fittedCount_is4 - - -contains - - - -Semantics.HonestParameterReport.postHocCount_is3 - -theorem -postHocCount_is3 - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.postHocCount_is3 - - -contains - - - -Semantics.HonestParameterReport.tuningCount_is4 - -theorem -tuningCount_is4 - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.tuningCount_is4 - - -contains - - - -Semantics.HonestParameterReport.adoptedCount_is2 - -theorem -adoptedCount_is2 - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.adoptedCount_is2 - - -contains - - - -Semantics.HonestParameterReport.derivedCount_is0 - -theorem -derivedCount_is0 - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.derivedCount_is0 - - -contains - - - -Semantics.HonestParameterReport.parameterBudgetBalanced - -theorem -parameterBudgetBalanced - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.parameterBudgetBalanced - - -contains - - - -Semantics.HonestParameterReport.corr1Loop_isFitted_notDerived - -theorem -corr1Loop_isFitted_notDerived - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.corr1Loop_isFitted_notDerived - - -contains - - - -Semantics.HonestParameterReport.Provenance - -def -Provenance - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.Provenance - - -contains - - - -Semantics.HonestParameterReport.mkParameter - -def -mkParameter - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.mkParameter - - -contains - - - -Semantics.HonestParameterReport.p01_zMenger - -def -p01_zMenger - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.p01_zMenger - - -contains - - - -Semantics.HonestParameterReport.p02_corr1Loop - -def -p02_corr1Loop - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.p02_corr1Loop - - -contains - - - -Semantics.HonestParameterReport.p03_corr2Loop - -def -p03_corr2Loop - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.p03_corr2Loop - - -contains - - - -Semantics.HonestParameterReport.p04_alphaT - -def -p04_alphaT - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.p04_alphaT - - -contains - - - -Semantics.HonestParameterReport.p05_sqrt10 - -def -p05_sqrt10 - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.p05_sqrt10 - - -contains - - - -Semantics.HonestParameterReport.p06_alphaCore - -def -p06_alphaCore - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.p06_alphaCore - - -contains - - - -Semantics.HonestParameterReport.p07_sigmaSq - -def -p07_sigmaSq - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.p07_sigmaSq - - -contains - - - -Semantics.HonestParameterReport.p08_gradeThresholds - -def -p08_gradeThresholds - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.p08_gradeThresholds - - -contains - - - -Semantics.HonestParameterReport.p09_domainClassification - -def -p09_domainClassification - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.p09_domainClassification - - -contains - - - -Semantics.HonestParameterReport.p10_correctionLevel - -def -p10_correctionLevel - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.p10_correctionLevel - - -contains - - - -Semantics.HonestParameterReport.p11_P0 - -def -p11_P0 - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.p11_P0 - - -contains - - - -Semantics.HonestParameterReport.p12_zTolerance - -def -p12_zTolerance - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.p12_zTolerance - - -contains - - - -Semantics.HonestParameterReport.p13_sweetSpotBounds - -def -p13_sweetSpotBounds - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.p13_sweetSpotBounds - - -contains - - - -Semantics.HonestParameterReport.parameterRegistry - -def -parameterRegistry - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.parameterRegistry - - -contains - - - -Semantics.HonestParameterReport.totalParameterCount - -def -totalParameterCount - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.totalParameterCount - - -contains - - - -Semantics.HonestParameterReport.countByProvenance - -def -countByProvenance - - - -Semantics.HonestParameterReport->Semantics.HonestParameterReport.countByProvenance - - -contains - - - -Semantics.HormoneDeriv - -module -HormoneDeriv - - - -Semantics.HormoneDeriv.epsilon - -def -epsilon - - - -Semantics.HormoneDeriv->Semantics.HormoneDeriv.epsilon - - -contains - - - -Semantics.HormoneDeriv.ln2 - -def -ln2 - - - -Semantics.HormoneDeriv->Semantics.HormoneDeriv.ln2 - - -contains - - - -Semantics.HormoneDeriv.halfLifeToDecayRate - -def -halfLifeToDecayRate - - - -Semantics.HormoneDeriv->Semantics.HormoneDeriv.halfLifeToDecayRate - - -contains - - - -Semantics.HormoneDeriv.logitApprox - -def -logitApprox - - - -Semantics.HormoneDeriv->Semantics.HormoneDeriv.logitApprox - - -contains - - - -Semantics.HormoneDeriv.logitZNorm - -def -logitZNorm - - - -Semantics.HormoneDeriv->Semantics.HormoneDeriv.logitZNorm - - -contains - - - -Semantics.HormoneDeriv.concentrationDecay - -def -concentrationDecay - - - -Semantics.HormoneDeriv->Semantics.HormoneDeriv.concentrationDecay - - -contains - - - -Semantics.HormoneDeriv.advanceHormone - -def -advanceHormone - - - -Semantics.HormoneDeriv->Semantics.HormoneDeriv.advanceHormone - - -contains - - - -Semantics.HormoneDeriv.hormoneInvariant - -def -hormoneInvariant - - - -Semantics.HormoneDeriv->Semantics.HormoneDeriv.hormoneInvariant - - -contains - - - -Semantics.HormoneDeriv.hormoneCost - -def -hormoneCost - - - -Semantics.HormoneDeriv->Semantics.HormoneDeriv.hormoneCost - - -contains - - - -Semantics.HormoneDeriv.hormoneBind - -def -hormoneBind - - - -Semantics.HormoneDeriv->Semantics.HormoneDeriv.hormoneBind - - -contains - - - -Semantics.HotPathColdPath - -module -HotPathColdPath - - - -Semantics.HotPathColdPath->Semantics.FixedPoint - - -imports - - - -Semantics.HotPathColdPath.lawfulAdjustmentMaintainsBalance - -theorem -lawfulAdjustmentMaintainsBalance - - - -Semantics.HotPathColdPath->Semantics.HotPathColdPath.lawfulAdjustmentMaintainsBalance - - -contains - - - -Semantics.HotPathColdPath.hotPathMonotonicWithFrequency - -theorem -hotPathMonotonicWithFrequency - - - -Semantics.HotPathColdPath->Semantics.HotPathColdPath.hotPathMonotonicWithFrequency - - -contains - - - -Semantics.HotPathColdPath.branchPrediction - -def -branchPrediction - - - -Semantics.HotPathColdPath->Semantics.HotPathColdPath.branchPrediction - - -contains - - - -Semantics.HotPathColdPath.sluqRouting - -def -sluqRouting - - - -Semantics.HotPathColdPath->Semantics.HotPathColdPath.sluqRouting - - -contains - - - -Semantics.HotPathColdPath.classifyPath - -def -classifyPath - - - -Semantics.HotPathColdPath->Semantics.HotPathColdPath.classifyPath - - -contains - - - -Semantics.HotPathColdPath.calculateHotPathProbability - -def -calculateHotPathProbability - - - -Semantics.HotPathColdPath->Semantics.HotPathColdPath.calculateHotPathProbability - - -contains - - - -Semantics.HotPathColdPath.calculateColdPathProbability - -def -calculateColdPathProbability - - - -Semantics.HotPathColdPath->Semantics.HotPathColdPath.calculateColdPathProbability - - -contains - - - -Semantics.HotPathColdPath.calculateUnifiedAdjustment - -def -calculateUnifiedAdjustment - - - -Semantics.HotPathColdPath->Semantics.HotPathColdPath.calculateUnifiedAdjustment - - -contains - - - -Semantics.HotPathColdPath.updateUnifiedTopology - -def -updateUnifiedTopology - - - -Semantics.HotPathColdPath->Semantics.HotPathColdPath.updateUnifiedTopology - - -contains - - - -Semantics.HotPathColdPath.isTopologyAdjustmentLawful - -def -isTopologyAdjustmentLawful - - - -Semantics.HotPathColdPath->Semantics.HotPathColdPath.isTopologyAdjustmentLawful - - -contains - - - -Semantics.HotPathColdPath.updateNodePattern - -def -updateNodePattern - - - -Semantics.HotPathColdPath->Semantics.HotPathColdPath.updateNodePattern - - -contains - - - -Semantics.HotPathColdPath.topologyAdjustmentBind - -def -topologyAdjustmentBind - - - -Semantics.HotPathColdPath->Semantics.HotPathColdPath.topologyAdjustmentBind - - -contains - - - -Semantics.HouseholderQR - -module -HouseholderQR - - - -Semantics.HouseholderQR.Q16Vec - -def -Q16Vec - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.Q16Vec - - -contains - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.Q16Vec - - -contains - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.Q16Vec - - -contains - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.Q16Vec - - -contains - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.Q16Vec - - -contains - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.Q16Vec - - -contains - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.Q16Vec - - -contains - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.Q16Vec - - -contains - - - -Semantics.HouseholderQR.Q16Mat - -def -Q16Mat - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.Q16Mat - - -contains - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.Q16Mat - - -contains - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.Q16Mat - - -contains - - - -Semantics.HouseholderQR.householderVector - -def -householderVector - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.householderVector - - -contains - - - -Semantics.HouseholderQR.applyReflection - -def -applyReflection - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.applyReflection - - -contains - - - -Semantics.HouseholderQR.applyReflectionToCol - -def -applyReflectionToCol - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.applyReflectionToCol - - -contains - - - -Semantics.HouseholderQR.qrFactorize - -def -qrFactorize - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.qrFactorize - - -contains - - - -Semantics.HouseholderQR.incrementalUpdate - -def -incrementalUpdate - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.incrementalUpdate - - -contains - - - -Semantics.HouseholderQR.quantize - -def -quantize - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.quantize - - -contains - - - -Semantics.HouseholderQR.quantizeVec - -def -quantizeVec - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.quantizeVec - - -contains - - - -Semantics.HouseholderQR.quantizeMatCol - -def -quantizeMatCol - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.quantizeMatCol - - -contains - - - -Semantics.HouseholderQR.O_AMMR_QRNode_valid - -def -O_AMMR_QRNode_valid - - - -Semantics.HouseholderQR->Semantics.HouseholderQR.O_AMMR_QRNode_valid - - -contains - - - -Semantics.HumanNeuralCompression - -module -HumanNeuralCompression - - - -Semantics.HumanNeuralCompression.topologicalPreservationWithinBudget - -theorem -topologicalPreservationWithinBudget - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.topologicalPreservationWithinBudget - - -contains - - - -Semantics.HumanNeuralCompression.layer1ErrorWithinBudget - -theorem -layer1ErrorWithinBudget - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.layer1ErrorWithinBudget - - -contains - - - -Semantics.HumanNeuralCompression.layer2ErrorWithinBudget - -theorem -layer2ErrorWithinBudget - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.layer2ErrorWithinBudget - - -contains - - - -Semantics.HumanNeuralCompression.layer3ErrorWithinBudget - -theorem -layer3ErrorWithinBudget - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.layer3ErrorWithinBudget - - -contains - - - -Semantics.HumanNeuralCompression.layer4ErrorWithinBudget - -theorem -layer4ErrorWithinBudget - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.layer4ErrorWithinBudget - - -contains - - - -Semantics.HumanNeuralCompression.totalRatioAchievesTarget - -theorem -totalRatioAchievesTarget - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.totalRatioAchievesTarget - - -contains - - - -Semantics.HumanNeuralCompression.totalErrorBelowOnePercent - -theorem -totalErrorBelowOnePercent - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.totalErrorBelowOnePercent - - -contains - - - -Semantics.HumanNeuralCompression.pumpPhaseWindowsWithinBounds - -theorem -pumpPhaseWindowsWithinBounds - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.pumpPhaseWindowsWithinBounds - - -contains - - - -Semantics.HumanNeuralCompression.snowballGrowthWithinBounds - -theorem -snowballGrowthWithinBounds - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.snowballGrowthWithinBounds - - -contains - - - -Semantics.HumanNeuralCompression.electronOrbitalLoadsWithinBounds - -theorem -electronOrbitalLoadsWithinBounds - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.electronOrbitalLoadsWithinBounds - - -contains - - - -Semantics.HumanNeuralCompression.sigma65ConfidenceAchievedWithPumpPhase - -theorem -sigma65ConfidenceAchievedWithPumpPhase - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.sigma65ConfidenceAchievedWithPumpPhase - - -contains - - - -Semantics.HumanNeuralCompression.effectiveCompressionAchievesTarget - -theorem -effectiveCompressionAchievesTarget - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.effectiveCompressionAchievesTarget - - -contains - - - -Semantics.HumanNeuralCompression.compressedSizeWithinTarget - -theorem -compressedSizeWithinTarget - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.compressedSizeWithinTarget - - -contains - - - -Semantics.HumanNeuralCompression.temporalSamplingPreservesInvariant - -theorem -temporalSamplingPreservesInvariant - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.temporalSamplingPreservesInvariant - - -contains - - - -Semantics.HumanNeuralCompression.pumpPhaseExtendsSafeWindow - -theorem -pumpPhaseExtendsSafeWindow - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.pumpPhaseExtendsSafeWindow - - -contains - - - -Semantics.HumanNeuralCompression.humanNeuronCount - -def -humanNeuronCount - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.humanNeuronCount - - -contains - - - -Semantics.HumanNeuralCompression.fullStateSizePb - -def -fullStateSizePb - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.fullStateSizePb - - -contains - - - -Semantics.HumanNeuralCompression.targetCompressedMinGb - -def -targetCompressedMinGb - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.targetCompressedMinGb - - -contains - - - -Semantics.HumanNeuralCompression.targetCompressedMaxGb - -def -targetCompressedMaxGb - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.targetCompressedMaxGb - - -contains - - - -Semantics.HumanNeuralCompression.targetCompressionRatio - -def -targetCompressionRatio - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.targetCompressionRatio - - -contains - - - -Semantics.HumanNeuralCompression.sigma65ErrorBudget - -def -sigma65ErrorBudget - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.sigma65ErrorBudget - - -contains - - - -Semantics.HumanNeuralCompression.preservationTarget - -def -preservationTarget - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.preservationTarget - - -contains - - - -Semantics.HumanNeuralCompression.sigma65TopologicalBudget - -def -sigma65TopologicalBudget - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.sigma65TopologicalBudget - - -contains - - - -Semantics.HumanNeuralCompression.layer1DeltaExtraction - -def -layer1DeltaExtraction - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.layer1DeltaExtraction - - -contains - - - -Semantics.HumanNeuralCompression.layer2GeneticCodon - -def -layer2GeneticCodon - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.layer2GeneticCodon - - -contains - - - -Semantics.HumanNeuralCompression.layer3DeltaGcl - -def -layer3DeltaGcl - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.layer3DeltaGcl - - -contains - - - -Semantics.HumanNeuralCompression.layer4SwarmComposition - -def -layer4SwarmComposition - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.layer4SwarmComposition - - -contains - - - -Semantics.HumanNeuralCompression.PrecisionTier - -def -PrecisionTier - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.PrecisionTier - - -contains - - - -Semantics.HumanNeuralCompression.wireProtocolQ08 - -def -wireProtocolQ08 - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.wireProtocolQ08 - - -contains - - - -Semantics.HumanNeuralCompression.layer1Precision - -def -layer1Precision - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.layer1Precision - - -contains - - - -Semantics.HumanNeuralCompression.layer2Precision - -def -layer2Precision - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.layer2Precision - - -contains - - - -Semantics.HumanNeuralCompression.layer3Precision - -def -layer3Precision - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.layer3Precision - - -contains - - - -Semantics.HumanNeuralCompression.layer4Precision - -def -layer4Precision - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.layer4Precision - - -contains - - - -Semantics.HumanNeuralCompression.tailEventPrecision - -def -tailEventPrecision - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.tailEventPrecision - - -contains - - - -Semantics.HumanNeuralCompression.effectiveLayerSize - -def -effectiveLayerSize - - - -Semantics.HumanNeuralCompression->Semantics.HumanNeuralCompression.effectiveLayerSize - - -contains - - - -Semantics.HumanNeuralCompressionVerification - -module -HumanNeuralCompressionVerification - - - -Semantics.HumanNeuralCompressionVerification.minimumCompressionRatio_eq - -theorem -minimumCompressionRatio_eq - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.minimumCompressionRatio_eq - - -contains - - - -Semantics.HumanNeuralCompressionVerification.idealCompressionRatio_eq - -theorem -idealCompressionRatio_eq - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.idealCompressionRatio_eq - - -contains - - - -Semantics.HumanNeuralCompressionVerification.effectiveUncompressedGb_eq - -theorem -effectiveUncompressedGb_eq - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.effectiveUncompressedGb_eq - - -contains - - - -Semantics.HumanNeuralCompressionVerification.effectiveMinimumRatio_eq - -theorem -effectiveMinimumRatio_eq - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.effectiveMinimumRatio_eq - - -contains - - - -Semantics.HumanNeuralCompressionVerification.byte_budget_strictly_smaller - -theorem -byte_budget_strictly_smaller - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.byte_budget_strictly_smaller - - -contains - - - -Semantics.HumanNeuralCompressionVerification.lossless_witness_requires_capacity - -theorem -lossless_witness_requires_capacity - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.lossless_witness_requires_capacity - - -contains - - - -Semantics.HumanNeuralCompressionVerification.no_injective_compression_to_smaller_fintype - -theorem -no_injective_compression_to_smaller_fint - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.no_injective_compression_to_smaller_fintype - - -contains - - - -Semantics.HumanNeuralCompressionVerification.no_lossless_universal_compression - -theorem -no_lossless_universal_compression - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.no_lossless_universal_compression - - -contains - - - -Semantics.HumanNeuralCompressionVerification.arbitrary_lossless_compression_impossible - -theorem -arbitrary_lossless_compression_impossibl - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.arbitrary_lossless_compression_impossible - - -contains - - - -Semantics.HumanNeuralCompressionVerification.onePbTo800Gb_needs_extra_model_structure - -theorem -onePbTo800Gb_needs_extra_model_structure - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.onePbTo800Gb_needs_extra_model_structure - - -contains - - - -Semantics.HumanNeuralCompressionVerification.uncompressedStateGb - -def -uncompressedStateGb - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.uncompressedStateGb - - -contains - - - -Semantics.HumanNeuralCompressionVerification.targetMaxGb - -def -targetMaxGb - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.targetMaxGb - - -contains - - - -Semantics.HumanNeuralCompressionVerification.targetMinGb - -def -targetMinGb - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.targetMinGb - - -contains - - - -Semantics.HumanNeuralCompressionVerification.minimumCompressionRatio - -def -minimumCompressionRatio - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.minimumCompressionRatio - - -contains - - - -Semantics.HumanNeuralCompressionVerification.idealCompressionRatio - -def -idealCompressionRatio - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.idealCompressionRatio - - -contains - - - -Semantics.HumanNeuralCompressionVerification.activeRatioPercent - -def -activeRatioPercent - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.activeRatioPercent - - -contains - - - -Semantics.HumanNeuralCompressionVerification.effectiveUncompressedGb - -def -effectiveUncompressedGb - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.effectiveUncompressedGb - - -contains - - - -Semantics.HumanNeuralCompressionVerification.effectiveMinimumRatio - -def -effectiveMinimumRatio - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.effectiveMinimumRatio - - -contains - - - -Semantics.HumanNeuralCompressionVerification.uncompressedBytes - -def -uncompressedBytes - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.uncompressedBytes - - -contains - - - -Semantics.HumanNeuralCompressionVerification.compressedBytes - -def -compressedBytes - - - -Semantics.HumanNeuralCompressionVerification->Semantics.HumanNeuralCompressionVerification.compressedBytes - - -contains - - - -Mathlib.Data.Fintype.Card - -mathlib -Mathlib.Data.Fintype.Card - - - -Semantics.HumanNeuralCompressionVerification->Mathlib.Data.Fintype.Card - - -imports - - - -Semantics.Hutter - -module -Hutter - - - -Semantics.Hutter->Semantics.Bind - - -imports - - - -Semantics.Hutter.signature - -def -signature - - - -Semantics.Hutter->Semantics.Hutter.signature - - -contains - - - -Semantics.Hutter.admissibilityRatio - -def -admissibilityRatio - - - -Semantics.Hutter->Semantics.Hutter.admissibilityRatio - - -contains - - - -Semantics.Hutter.hutterInvariant - -def -hutterInvariant - - - -Semantics.Hutter->Semantics.Hutter.hutterInvariant - - -contains - - - -Semantics.Hutter.hutterCost - -def -hutterCost - - - -Semantics.Hutter->Semantics.Hutter.hutterCost - - -contains - - - -Semantics.Hutter.hutterBind - -def -hutterBind - - - -Semantics.Hutter->Semantics.Hutter.hutterBind - - -contains - - - -Semantics.HutterMaximumCompression - -module -HutterMaximumCompression - - - -Semantics.HutterMaximumCompression->Semantics.Bind - - -imports - - - -Semantics.HutterMaximumCompression.foundationVectorDistance_nonneg - -theorem -foundationVectorDistance_nonneg - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.foundationVectorDistance_nonneg - - -contains - - - -Semantics.HutterMaximumCompression.streetTransitionCost_bounded - -theorem -streetTransitionCost_bounded - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.streetTransitionCost_bounded - - -contains - - - -Semantics.HutterMaximumCompression.rgflowScaleDistance_bounded - -theorem -rgflowScaleDistance_bounded - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.rgflowScaleDistance_bounded - - -contains - - - -Semantics.HutterMaximumCompression.substrateExecutionCost_bounded - -theorem -substrateExecutionCost_bounded - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.substrateExecutionCost_bounded - - -contains - - - -Semantics.HutterMaximumCompression.routeCost_nonneg - -theorem -routeCost_nonneg - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.routeCost_nonneg - - -contains - - - -Semantics.HutterMaximumCompression.compressionRatio_nonneg - -theorem -compressionRatio_nonneg - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.compressionRatio_nonneg - - -contains - - - -Semantics.HutterMaximumCompression.lawfulSymbols_le_emitted - -theorem -lawfulSymbols_le_emitted - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.lawfulSymbols_le_emitted - - -contains - - - -Semantics.HutterMaximumCompression.isqrt - -def -isqrt - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.isqrt - - -contains - - - -Semantics.HutterMaximumCompression.initContext - -def -initContext - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.initContext - - -contains - - - -Semantics.HutterMaximumCompression.computeFoundationVector - -def -computeFoundationVector - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.computeFoundationVector - - -contains - - - -Semantics.HutterMaximumCompression.foundationVectorDistance - -def -foundationVectorDistance - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.foundationVectorDistance - - -contains - - - -Semantics.HutterMaximumCompression.streetMembership - -def -streetMembership - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.streetMembership - - -contains - - - -Semantics.HutterMaximumCompression.streetTransitionCost - -def -streetTransitionCost - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.streetTransitionCost - - -contains - - - -Semantics.HutterMaximumCompression.rgflowScaleDistance - -def -rgflowScaleDistance - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.rgflowScaleDistance - - -contains - - - -Semantics.HutterMaximumCompression.substrateExecutionCost - -def -substrateExecutionCost - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.substrateExecutionCost - - -contains - - - -Semantics.HutterMaximumCompression.proofObligationCost - -def -proofObligationCost - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.proofObligationCost - - -contains - - - -Semantics.HutterMaximumCompression.failureRisk - -def -failureRisk - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.failureRisk - - -contains - - - -Semantics.HutterMaximumCompression.throatBonus - -def -throatBonus - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.throatBonus - - -contains - - - -Semantics.HutterMaximumCompression.fammMemoryBonus - -def -fammMemoryBonus - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.fammMemoryBonus - - -contains - - - -Semantics.HutterMaximumCompression.routeCost - -def -routeCost - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.routeCost - - -contains - - - -Semantics.HutterMaximumCompression.shouldEmit - -def -shouldEmit - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.shouldEmit - - -contains - - - -Semantics.HutterMaximumCompression.emitSymbol - -def -emitSymbol - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.emitSymbol - - -contains - - - -Semantics.HutterMaximumCompression.computeMetrics - -def -computeMetrics - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.computeMetrics - - -contains - - - -Semantics.HutterMaximumCompression.compressionInvariant - -def -compressionInvariant - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.compressionInvariant - - -contains - - - -Semantics.HutterMaximumCompression.compressionCost - -def -compressionCost - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.compressionCost - - -contains - - - -Semantics.HutterMaximumCompression.hutterMaximumCompressionBind - -def -hutterMaximumCompressionBind - - - -Semantics.HutterMaximumCompression->Semantics.HutterMaximumCompression.hutterMaximumCompressionBind - - -contains - - - -Semantics.HutterPrizeCompression - -module -HutterPrizeCompression - - - -Semantics.HutterPrizeCompression.weightedLeSelf - -theorem -weightedLeSelf - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.weightedLeSelf - - -contains - - - -Semantics.HutterPrizeCompression.unifiedFieldBounded - -theorem -unifiedFieldBounded - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.unifiedFieldBounded - - -contains - - - -Semantics.HutterPrizeCompression.manifoldScalingBounded - -theorem -manifoldScalingBounded - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.manifoldScalingBounded - - -contains - - - -Semantics.HutterPrizeCompression.hutterPrizeCompressionBounded - -theorem -hutterPrizeCompressionBounded - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.hutterPrizeCompressionBounded - - -contains - - - -Semantics.HutterPrizeCompression.compressionRatioBounded - -theorem -compressionRatioBounded - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.compressionRatioBounded - - -contains - - - -Semantics.HutterPrizeCompression.targetLessThanRecord - -theorem -targetLessThanRecord - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.targetLessThanRecord - - -contains - - - -Semantics.HutterPrizeCompression.computeUnifiedField - -def -computeUnifiedField - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.computeUnifiedField - - -contains - - - -Semantics.HutterPrizeCompression.assignMassIndex - -def -assignMassIndex - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.assignMassIndex - - -contains - - - -Semantics.HutterPrizeCompression.unifiedFieldBoundedMassIndex - -def -unifiedFieldBoundedMassIndex - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.unifiedFieldBoundedMassIndex - - -contains - - - -Semantics.HutterPrizeCompression.manifoldScalingBoundedMassIndex - -def -manifoldScalingBoundedMassIndex - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.manifoldScalingBoundedMassIndex - - -contains - - - -Semantics.HutterPrizeCompression.hutterPrizeCompressionBoundedMassIndex - -def -hutterPrizeCompressionBoundedMassIndex - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.hutterPrizeCompressionBoundedMassIndex - - -contains - - - -Semantics.HutterPrizeCompression.compressionRatioBoundedMassIndex - -def -compressionRatioBoundedMassIndex - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.compressionRatioBoundedMassIndex - - -contains - - - -Semantics.HutterPrizeCompression.searchSpace - -def -searchSpace - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.searchSpace - - -contains - - - -Semantics.HutterPrizeCompression.currentSearchPosition - -def -currentSearchPosition - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.currentSearchPosition - - -contains - - - -Semantics.HutterPrizeCompression.initGpuSearch - -def -initGpuSearch - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.initGpuSearch - - -contains - - - -Semantics.HutterPrizeCompression.assignProofSearchDuty - -def -assignProofSearchDuty - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.assignProofSearchDuty - - -contains - - - -Semantics.HutterPrizeCompression.gpuAcceleratedUnifiedFieldSearch - -def -gpuAcceleratedUnifiedFieldSearch - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.gpuAcceleratedUnifiedFieldSearch - - -contains - - - -Semantics.HutterPrizeCompression.computeManifoldScaling - -def -computeManifoldScaling - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.computeManifoldScaling - - -contains - - - -Semantics.HutterPrizeCompression.computeHutterPrizeCompression - -def -computeHutterPrizeCompression - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.computeHutterPrizeCompression - - -contains - - - -Semantics.HutterPrizeCompression.compressionRatioSI - -def -compressionRatioSI - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.compressionRatioSI - - -contains - - - -Semantics.HutterPrizeCompression.compressionPercentage - -def -compressionPercentage - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.compressionPercentage - - -contains - - - -Semantics.HutterPrizeCompression.compressionRatioFromPercentage - -def -compressionRatioFromPercentage - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.compressionRatioFromPercentage - - -contains - - - -Semantics.HutterPrizeCompression.hutterPrizeFormat - -def -hutterPrizeFormat - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.hutterPrizeFormat - - -contains - - - -Semantics.HutterPrizeCompression.hutterRecordRatio - -def -hutterRecordRatio - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.hutterRecordRatio - - -contains - - - -Semantics.HutterPrizeCompression.hutterTargetRatio - -def -hutterTargetRatio - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.hutterTargetRatio - - -contains - - - -Semantics.HutterPrizeCompression.beatsHutterTarget - -def -beatsHutterTarget - - - -Semantics.HutterPrizeCompression->Semantics.HutterPrizeCompression.beatsHutterTarget - - -contains - - - -Semantics.HutterPrizeFlow - -module -HutterPrizeFlow - - - -Semantics.HutterPrizeFlow->Mathlib.Data.Real.Basic - - -imports - - - -Semantics.HutterPrizeFlow.numerator_nonneg - -theorem -numerator_nonneg - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.numerator_nonneg - - -contains - - - -Semantics.HutterPrizeFlow.geometry_pos - -theorem -geometry_pos - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.geometry_pos - - -contains - - - -Semantics.HutterPrizeFlow.energy_pos - -theorem -energy_pos - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.energy_pos - - -contains - - - -Semantics.HutterPrizeFlow.phi_nonneg - -theorem -phi_nonneg - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.phi_nonneg - - -contains - - - -Semantics.HutterPrizeFlow.decoderTerm_nonneg - -theorem -decoderTerm_nonneg - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.decoderTerm_nonneg - - -contains - - - -Semantics.HutterPrizeFlow.resourceTerm_nonneg - -theorem -resourceTerm_nonneg - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.resourceTerm_nonneg - - -contains - - - -Semantics.HutterPrizeFlow.phiHP_lower_bound - -theorem -phiHP_lower_bound - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.phiHP_lower_bound - - -contains - - - -Semantics.HutterPrizeFlow.phiHP_ge_phi_minus_comp - -theorem -phiHP_ge_phi_minus_comp - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.phiHP_ge_phi_minus_comp - - -contains - - - -Semantics.HutterPrizeFlow.phiHP_ge_phi_of_zeroComp - -theorem -phiHP_ge_phi_of_zeroComp - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.phiHP_ge_phi_of_zeroComp - - -contains - - - -Semantics.HutterPrizeFlow.increasing_decoder_cost_increases_phiHP - -theorem -increasing_decoder_cost_increases_phiHP - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.increasing_decoder_cost_increases_phiHP - - -contains - - - -Semantics.HutterPrizeFlow.increasing_resource_cost_increases_phiHP - -theorem -increasing_resource_cost_increases_phiHP - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.increasing_resource_cost_increases_phiHP - - -contains - - - -Semantics.HutterPrizeFlow.sufficient_compression_gain_can_offset_penalties - -theorem -sufficient_compression_gain_can_offset_p - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.sufficient_compression_gain_can_offset_penalties - - -contains - - - -Semantics.HutterPrizeFlow.flowHP_differs_from_base_on_tau - -theorem -flowHP_differs_from_base_on_tau - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.flowHP_differs_from_base_on_tau - - -contains - - - -Semantics.HutterPrizeFlow.flowHP_differs_from_base_on_sigma - -theorem -flowHP_differs_from_base_on_sigma - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.flowHP_differs_from_base_on_sigma - - -contains - - - -Semantics.HutterPrizeFlow.rho - -def -rho - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.rho - - -contains - - - -Semantics.HutterPrizeFlow.v - -def -v - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.v - - -contains - - - -Semantics.HutterPrizeFlow.tau - -def -tau - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.tau - - -contains - - - -Semantics.HutterPrizeFlow.sigma - -def -sigma - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.sigma - - -contains - - - -Semantics.HutterPrizeFlow.q - -def -q - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.q - - -contains - - - -Semantics.HutterPrizeFlow.kappa - -def -kappa - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.kappa - - -contains - - - -Semantics.HutterPrizeFlow.eps - -def -eps - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.eps - - -contains - - - -Semantics.HutterPrizeFlow.mk - -def -mk - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.mk - - -contains - - - -Semantics.HutterPrizeFlow.neg - -def -neg - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.neg - - -contains - - - -Semantics.HutterPrizeFlow.add - -def -add - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.add - - -contains - - - -Semantics.HutterPrizeFlow.smul - -def -smul - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.smul - - -contains - - - -Semantics.HutterPrizeFlow.WellFormed - -def -WellFormed - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.WellFormed - - -contains - - - -Semantics.HutterPrizeFlow.numerator - -def -numerator - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.numerator - - -contains - - - -Semantics.HutterPrizeFlow.geometry - -def -geometry - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.geometry - - -contains - - - -Semantics.HutterPrizeFlow.energy - -def -energy - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.energy - - -contains - - - -Semantics.HutterPrizeFlow.phi - -def -phi - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.phi - - -contains - - - -Semantics.HutterPrizeFlow.gradPhi - -def -gradPhi - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.gradPhi - - -contains - - - -Semantics.HutterPrizeFlow.flow - -def -flow - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.flow - - -contains - - - -Semantics.HutterPrizeFlow.compressionTerm - -def -compressionTerm - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.compressionTerm - - -contains - - - -Semantics.HutterPrizeFlow.decoderTerm - -def -decoderTerm - - - -Semantics.HutterPrizeFlow->Semantics.HutterPrizeFlow.decoderTerm - - -contains - - - -Semantics.HutterPrizeISA - -module -HutterPrizeISA - - - -Semantics.HutterPrizeISA.hutterPiWitness - -theorem -hutterPiWitness - - - -Semantics.HutterPrizeISA->Semantics.HutterPrizeISA.hutterPiWitness - - -contains - - - -Semantics.HutterPrizeISA.opcodeUtilizationBounded - -theorem -opcodeUtilizationBounded - - - -Semantics.HutterPrizeISA->Semantics.HutterPrizeISA.opcodeUtilizationBounded - - -contains - - - -Semantics.HutterPrizeISA.registerEfficiencyBounded - -theorem -registerEfficiencyBounded - - - -Semantics.HutterPrizeISA->Semantics.HutterPrizeISA.registerEfficiencyBounded - - -contains - - - -Semantics.HutterPrizeISA.overallScoreBounded - -theorem -overallScoreBounded - - - -Semantics.HutterPrizeISA->Semantics.HutterPrizeISA.overallScoreBounded - - -contains - - - -Semantics.HutterPrizeISA.targetLessThanRecord - -theorem -targetLessThanRecord - - - -Semantics.HutterPrizeISA->Semantics.HutterPrizeISA.targetLessThanRecord - - -contains - - - -Semantics.HutterPrizeISA.hutterRecordRatio - -def -hutterRecordRatio - - - -Semantics.HutterPrizeISA->Semantics.HutterPrizeISA.hutterRecordRatio - - -contains - - - -Semantics.HutterPrizeISA.hutterTargetRatio - -def -hutterTargetRatio - - - -Semantics.HutterPrizeISA->Semantics.HutterPrizeISA.hutterTargetRatio - - -contains - - - -Semantics.HutterPrizeISA.hutterPi - -def -hutterPi - - - -Semantics.HutterPrizeISA->Semantics.HutterPrizeISA.hutterPi - - -contains - - - -Semantics.HutterPrizeISA.hutterPhi - -def -hutterPhi - - - -Semantics.HutterPrizeISA->Semantics.HutterPrizeISA.hutterPhi - - -contains - - - -Semantics.HutterPrizeISA.circularCompressionRatio - -def -circularCompressionRatio - - - -Semantics.HutterPrizeISA->Semantics.HutterPrizeISA.circularCompressionRatio - - -contains - - - -Semantics.HutterPrizeISA.analyzeHutterOpcodeUtilization - -def -analyzeHutterOpcodeUtilization - - - -Semantics.HutterPrizeISA->Semantics.HutterPrizeISA.analyzeHutterOpcodeUtilization - - -contains - - - -Semantics.HutterPrizeISA.analyzeHutterRegisterEfficiency - -def -analyzeHutterRegisterEfficiency - - - -Semantics.HutterPrizeISA->Semantics.HutterPrizeISA.analyzeHutterRegisterEfficiency - - -contains - - - -Semantics.HutterPrizeISA.runHutterSwarmAnalysis - -def -runHutterSwarmAnalysis - - - -Semantics.HutterPrizeISA->Semantics.HutterPrizeISA.runHutterSwarmAnalysis - - -contains - - - -Semantics.HutterPrizeISA.exampleHutterParams - -def -exampleHutterParams - - - -Semantics.HutterPrizeISA->Semantics.HutterPrizeISA.exampleHutterParams - - -contains - - - -Semantics.HutterPrizeRGFlow - -module -HutterPrizeRGFlow - - - -Semantics.HutterPrizeRGFlow->Semantics.FixedPoint - - -imports - - - -Semantics.HutterPrizeRGFlow.floatToQ16_16 - -def -floatToQ16_16 - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.floatToQ16_16 - - -contains - - - -Semantics.HutterPrizeRGFlow.bitsToDNANucleotide - -def -bitsToDNANucleotide - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.bitsToDNANucleotide - - -contains - - - -Semantics.HutterPrizeRGFlow.charToDNA - -def -charToDNA - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.charToDNA - - -contains - - - -Semantics.HutterPrizeRGFlow.codonToAminoAcid - -def -codonToAminoAcid - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.codonToAminoAcid - - -contains - - - -Semantics.HutterPrizeRGFlow.dnaToAminoAcids - -def -dnaToAminoAcids - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.dnaToAminoAcids - - -contains - - - -Semantics.HutterPrizeRGFlow.textToAminoAcids - -def -textToAminoAcids - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.textToAminoAcids - - -contains - - - -Semantics.HutterPrizeRGFlow.countUniqueAminoAcids - -def -countUniqueAminoAcids - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.countUniqueAminoAcids - - -contains - - - -Semantics.HutterPrizeRGFlow.spectralDensity - -def -spectralDensity - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.spectralDensity - - -contains - - - -Semantics.HutterPrizeRGFlow.countTransitions - -def -countTransitions - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.countTransitions - - -contains - - - -Semantics.HutterPrizeRGFlow.calculateMuQ - -def -calculateMuQ - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.calculateMuQ - - -contains - - - -Semantics.HutterPrizeRGFlow.aminoAcidCounts - -def -aminoAcidCounts - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.aminoAcidCounts - - -contains - - - -Semantics.HutterPrizeRGFlow.aminoAcidEntropy - -def -aminoAcidEntropy - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.aminoAcidEntropy - - -contains - - - -Semantics.HutterPrizeRGFlow.calculateSigmaQ - -def -calculateSigmaQ - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.calculateSigmaQ - - -contains - - - -Semantics.HutterPrizeRGFlow.calculateTextRGFlowState - -def -calculateTextRGFlowState - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.calculateTextRGFlowState - - -contains - - - -Semantics.HutterPrizeRGFlow.isTextLawful - -def -isTextLawful - - - -Semantics.HutterPrizeRGFlow->Semantics.HutterPrizeRGFlow.isTextLawful - - -contains - - - -Semantics.HybridConvergence - -module -HybridConvergence - - - -Semantics.HybridConvergence.adaptiveSpatialTokenConvergence - -theorem -adaptiveSpatialTokenConvergence - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.adaptiveSpatialTokenConvergence - - -contains - - - -Semantics.HybridConvergence.compressionSearchEquivalence - -theorem -compressionSearchEquivalence - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.compressionSearchEquivalence - - -contains - - - -Semantics.HybridConvergence.zero - -def -zero - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.zero - - -contains - - - -Semantics.HybridConvergence.one - -def -one - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.one - - -contains - - - -Semantics.HybridConvergence.ofNat - -def -ofNat - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.ofNat - - -contains - - - -Semantics.HybridConvergence.add - -def -add - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.add - - -contains - - - -Semantics.HybridConvergence.sub - -def -sub - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.sub - - -contains - - - -Semantics.HybridConvergence.mul - -def -mul - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.mul - - -contains - - - -Semantics.HybridConvergence.div - -def -div - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.div - - -contains - - - -Semantics.HybridConvergence.le - -def -le - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.le - - -contains - - - -Semantics.HybridConvergence.tokenCountForLevel - -def -tokenCountForLevel - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.tokenCountForLevel - - -contains - - - -Semantics.HybridConvergence.wellFormedLength - -def -wellFormedLength - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.wellFormedLength - - -contains - - - -Semantics.HybridConvergence.validateTokenSequence - -def -validateTokenSequence - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.validateTokenSequence - - -contains - - - -Semantics.HybridConvergence.baseTokenScore - -def -baseTokenScore - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.baseTokenScore - - -contains - - - -Semantics.HybridConvergence.compressionMultiplier - -def -compressionMultiplier - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.compressionMultiplier - - -contains - - - -Semantics.HybridConvergence.verifierScore - -def -verifierScore - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.verifierScore - - -contains - - - -Semantics.HybridConvergence.sigmaThreshold - -def -sigmaThreshold - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.sigmaThreshold - - -contains - - - -Semantics.HybridConvergence.metaAccumulate - -def -metaAccumulate - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.metaAccumulate - - -contains - - - -Semantics.HybridConvergence.isPromotable - -def -isPromotable - - - -Semantics.HybridConvergence->Semantics.HybridConvergence.isPromotable - - -contains - - - -Semantics.HybridTSMPISTTorus - -module -HybridTSMPISTTorus - - - -Semantics.HybridTSMPISTTorus->Semantics.FixedPoint - - -imports - - - -Semantics.HybridTSMPISTTorus.geneticScoreBounded - -theorem -geneticScoreBounded - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.geneticScoreBounded - - -contains - - - -Semantics.HybridTSMPISTTorus.geneticOptimizationScore - -def -geneticOptimizationScore - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.geneticOptimizationScore - - -contains - - - -Semantics.HybridTSMPISTTorus.informationDensity - -def -informationDensity - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.informationDensity - - -contains - - - -Semantics.HybridTSMPISTTorus.normalizedTensionRatio - -def -normalizedTensionRatio - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.normalizedTensionRatio - - -contains - - - -Semantics.HybridTSMPISTTorus.classifyPhase - -def -classifyPhase - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.classifyPhase - - -contains - - - -Semantics.HybridTSMPISTTorus.lyapunovFunctional - -def -lyapunovFunctional - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.lyapunovFunctional - - -contains - - - -Semantics.HybridTSMPISTTorus.mirrorInvolution - -def -mirrorInvolution - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.mirrorInvolution - - -contains - - - -Semantics.HybridTSMPISTTorus.isResonant - -def -isResonant - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.isResonant - - -contains - - - -Semantics.HybridTSMPISTTorus.applyPistBlitter - -def -applyPistBlitter - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.applyPistBlitter - - -contains - - - -Semantics.HybridTSMPISTTorus.applyResonanceJump - -def -applyResonanceJump - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.applyResonanceJump - - -contains - - - -Semantics.HybridTSMPISTTorus.applyTorusRouting - -def -applyTorusRouting - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.applyTorusRouting - - -contains - - - -Semantics.HybridTSMPISTTorus.updateGeneticScore - -def -updateGeneticScore - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.updateGeneticScore - - -contains - - - -Semantics.HybridTSMPISTTorus.updatePhase - -def -updatePhase - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.updatePhase - - -contains - - - -Semantics.HybridTSMPISTTorus.lawfulProjection - -def -lawfulProjection - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.lawfulProjection - - -contains - - - -Semantics.HybridTSMPISTTorus.lyapunovDescentCheck - -def -lyapunovDescentCheck - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.lyapunovDescentCheck - - -contains - - - -Semantics.HybridTSMPISTTorus.isHybridActionLawful - -def -isHybridActionLawful - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.isHybridActionLawful - - -contains - - - -Semantics.HybridTSMPISTTorus.hybridTSMBind - -def -hybridTSMBind - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.hybridTSMBind - - -contains - - - -Semantics.HybridTSMPISTTorus.examplePistState - -def -examplePistState - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.examplePistState - - -contains - - - -Semantics.HybridTSMPISTTorus.exampleTorusState - -def -exampleTorusState - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.exampleTorusState - - -contains - - - -Semantics.HybridTSMPISTTorus.exampleHybridState - -def -exampleHybridState - - - -Semantics.HybridTSMPISTTorus->Semantics.HybridTSMPISTTorus.exampleHybridState - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid - -module -HydrogenicPhiTorsionBraid - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.Bind - - -imports - - - -Semantics.HydrogenicPhiTorsionBraid.navierNoCfdRoutes - -theorem -navierNoCfdRoutes - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.navierNoCfdRoutes - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.zeroConstraintQuarantinesYangMills - -theorem -zeroConstraintQuarantinesYangMills - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.zeroConstraintQuarantinesYangMills - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.navierGateCostPositive - -theorem -navierGateCostPositive - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.navierGateCostPositive - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.yangMillsToyRemainsResidue - -theorem -yangMillsToyRemainsResidue - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.yangMillsToyRemainsResidue - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.defaultTensegrityHasSixEdges - -theorem -defaultTensegrityHasSixEdges - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.defaultTensegrityHasSixEdges - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.q0Max - -def -q0Max - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.q0Max - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.q0Half - -def -q0Half - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.q0Half - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.satQ0 - -def -satQ0 - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.satQ0 - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.addQ0 - -def -addQ0 - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.addQ0 - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.avgQ0 - -def -avgQ0 - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.avgQ0 - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.nominalBraidSample - -def -nominalBraidSample - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.nominalBraidSample - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.BraidSample - -def -BraidSample - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.BraidSample - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.BraidSample - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.residualPressure - -def -residualPressure - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.residualPressure - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.promotionPressure - -def -promotionPressure - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.promotionPressure - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.colorRope - -def -colorRope - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.colorRope - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.ColorRope - -def -ColorRope - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.ColorRope - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.ColorRope - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.natAbsDiff - -def -natAbsDiff - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.natAbsDiff - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.partLoad - -def -partLoad - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.partLoad - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.edgeStrain - -def -edgeStrain - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.edgeStrain - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.defaultTensegrity - -def -defaultTensegrity - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.defaultTensegrity - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.totalTensegrityStrain - -def -totalTensegrityStrain - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.totalTensegrityStrain - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.tensegrityCoherent - -def -tensegrityCoherent - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.tensegrityCoherent - - -contains - - - -Semantics.HydrogenicPhiTorsionBraid.shouldRouteNoCfd - -def -shouldRouteNoCfd - - - -Semantics.HydrogenicPhiTorsionBraid->Semantics.HydrogenicPhiTorsionBraid.shouldRouteNoCfd - - -contains - - - -Semantics.HyperFlow - -module -HyperFlow - - - -Semantics.HyperFlow.hyperFlowSignature - -def -hyperFlowSignature - - - -Semantics.HyperFlow->Semantics.HyperFlow.hyperFlowSignature - - -contains - - - -Semantics.HyperFlow.classifyHyperFlow - -def -classifyHyperFlow - - - -Semantics.HyperFlow->Semantics.HyperFlow.classifyHyperFlow - - -contains - - - -Semantics.HyperbolicEncoding - -module -HyperbolicEncoding - - - -Semantics.HyperbolicEncoding.dimensionWeightsLength - -theorem -dimensionWeightsLength - - - -Semantics.HyperbolicEncoding->Semantics.HyperbolicEncoding.dimensionWeightsLength - - -contains - - - -Semantics.HyperbolicEncoding.zero - -def -zero - - - -Semantics.HyperbolicEncoding->Semantics.HyperbolicEncoding.zero - - -contains - - - -Semantics.HyperbolicEncoding.one - -def -one - - - -Semantics.HyperbolicEncoding->Semantics.HyperbolicEncoding.one - - -contains - - - -Semantics.HyperbolicEncoding.ofFrac - -def -ofFrac - - - -Semantics.HyperbolicEncoding->Semantics.HyperbolicEncoding.ofFrac - - -contains - - - -Semantics.HyperbolicEncoding.toNat - -def -toNat - - - -Semantics.HyperbolicEncoding->Semantics.HyperbolicEncoding.toNat - - -contains - - - -Semantics.HyperbolicEncoding.dimensionWeights - -def -dimensionWeights - - - -Semantics.HyperbolicEncoding->Semantics.HyperbolicEncoding.dimensionWeights - - -contains - - - -Semantics.HyperbolicEncoding.encodeToPoincare - -def -encodeToPoincare - - - -Semantics.HyperbolicEncoding->Semantics.HyperbolicEncoding.encodeToPoincare - - -contains - - - -Semantics.HyperbolicEncoding.decodeFromPoincare - -def -decodeFromPoincare - - - -Semantics.HyperbolicEncoding->Semantics.HyperbolicEncoding.decodeFromPoincare - - -contains - - - -Semantics.HyperbolicEncoding.mobiusTransform - -def -mobiusTransform - - - -Semantics.HyperbolicEncoding->Semantics.HyperbolicEncoding.mobiusTransform - - -contains - - - -Semantics.HyperbolicEncoding.hyperbolicDistance - -def -hyperbolicDistance - - - -Semantics.HyperbolicEncoding->Semantics.HyperbolicEncoding.hyperbolicDistance - - -contains - - - -Semantics.HyperbolicEncoding.initHyperbolicCache - -def -initHyperbolicCache - - - -Semantics.HyperbolicEncoding->Semantics.HyperbolicEncoding.initHyperbolicCache - - -contains - - - -Semantics.HyperbolicEncoding.getOrEncode - -def -getOrEncode - - - -Semantics.HyperbolicEncoding->Semantics.HyperbolicEncoding.getOrEncode - - -contains - - - -Semantics.HypercubeTopology - -module -HypercubeTopology - - - -Semantics.HypercubeTopology->Semantics.FixedPoint - - -imports - - - -Semantics.HypercubeTopology.lawfulActionPreservesNeighborCount - -theorem -lawfulActionPreservesNeighborCount - - - -Semantics.HypercubeTopology->Semantics.HypercubeTopology.lawfulActionPreservesNeighborCount - - -contains - - - -Semantics.HypercubeTopology.hypercubeDistanceSymmetric - -theorem -hypercubeDistanceSymmetric - - - -Semantics.HypercubeTopology->Semantics.HypercubeTopology.hypercubeDistanceSymmetric - - -contains - - - -Semantics.HypercubeTopology.hypercubeDiameterEqualsDimensions - -theorem -hypercubeDiameterEqualsDimensions - - - -Semantics.HypercubeTopology->Semantics.HypercubeTopology.hypercubeDiameterEqualsDimensions - - -contains - - - -Semantics.HypercubeTopology.hypercubeDistance - -def -hypercubeDistance - - - -Semantics.HypercubeTopology->Semantics.HypercubeTopology.hypercubeDistance - - -contains - - - -Semantics.HypercubeTopology.areNeighbors - -def -areNeighbors - - - -Semantics.HypercubeTopology->Semantics.HypercubeTopology.areNeighbors - - -contains - - - -Semantics.HypercubeTopology.getNeighbors - -def -getNeighbors - - - -Semantics.HypercubeTopology->Semantics.HypercubeTopology.getNeighbors - - -contains - - - -Semantics.HypercubeTopology.neighborCount - -def -neighborCount - - - -Semantics.HypercubeTopology->Semantics.HypercubeTopology.neighborCount - - -contains - - - -Semantics.HypercubeTopology.connectivity - -def -connectivity - - - -Semantics.HypercubeTopology->Semantics.HypercubeTopology.connectivity - - -contains - - - -Semantics.HypercubeTopology.hypercubeDiameter - -def -hypercubeDiameter - - - -Semantics.HypercubeTopology->Semantics.HypercubeTopology.hypercubeDiameter - - -contains - - - -Semantics.HypercubeTopology.bisectionBandwidth - -def -bisectionBandwidth - - - -Semantics.HypercubeTopology->Semantics.HypercubeTopology.bisectionBandwidth - - -contains - - - -Semantics.HypercubeTopology.isHypercubeActionLawful - -def -isHypercubeActionLawful - - - -Semantics.HypercubeTopology->Semantics.HypercubeTopology.isHypercubeActionLawful - - -contains - - - -Semantics.HypercubeTopology.toggleCoordinate - -def -toggleCoordinate - - - -Semantics.HypercubeTopology->Semantics.HypercubeTopology.toggleCoordinate - - -contains - - - -Semantics.HypercubeTopology.hypercubeBind - -def -hypercubeBind - - - -Semantics.HypercubeTopology->Semantics.HypercubeTopology.hypercubeBind - - -contains - - - -Semantics.Hyperfluid - -module -Hyperfluid - - - -Semantics.Hyperfluid->Semantics.FixedPoint - - -imports - - - -Semantics.Hyperfluid.propagateStress - -def -propagateStress - - - -Semantics.Hyperfluid->Semantics.Hyperfluid.propagateStress - - -contains - - - -Semantics.ImaginarySemanticTime - -module -ImaginarySemanticTime - - - -Semantics.ImaginarySemanticTime.for - -theorem -for - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.for - - -contains - - - -Semantics.ImaginarySemanticTime.iUnitSemanticOne - -theorem -iUnitSemanticOne - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.iUnitSemanticOne - - -contains - - - -Semantics.ImaginarySemanticTime.mengerSemanticTimeK0 - -theorem -mengerSemanticTimeK0 - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.mengerSemanticTimeK0 - - -contains - - - -Semantics.ImaginarySemanticTime.p04SemanticTimeCorrect - -theorem -p04SemanticTimeCorrect - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.p04SemanticTimeCorrect - - -contains - - - -Semantics.ImaginarySemanticTime.p04SemanticTimeMagnitude - -theorem -p04SemanticTimeMagnitude - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.p04SemanticTimeMagnitude - - -contains - - - -Semantics.ImaginarySemanticTime.semanticPeriodRatioIs3_k0 - -theorem -semanticPeriodRatioIs3_k0 - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.semanticPeriodRatioIs3_k0 - - -contains - - - -Semantics.ImaginarySemanticTime.semanticPeriodRatioIs3_k1 - -theorem -semanticPeriodRatioIs3_k1 - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.semanticPeriodRatioIs3_k1 - - -contains - - - -Semantics.ImaginarySemanticTime.semanticPeriodRatioIs3_k2 - -theorem -semanticPeriodRatioIs3_k2 - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.semanticPeriodRatioIs3_k2 - - -contains - - - -Semantics.ImaginarySemanticTime.semanticPeriodRatioIs3_k5 - -theorem -semanticPeriodRatioIs3_k5 - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.semanticPeriodRatioIs3_k5 - - -contains - - - -Semantics.ImaginarySemanticTime.semanticPeriodRatioIs3_k10 - -theorem -semanticPeriodRatioIs3_k10 - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.semanticPeriodRatioIs3_k10 - - -contains - - - -Semantics.ImaginarySemanticTime.observerProjectionPreservesSemantic - -theorem -observerProjectionPreservesSemantic - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.observerProjectionPreservesSemantic - - -contains - - - -Semantics.ImaginarySemanticTime.p04ProjectedPhysicalMagnitude - -theorem -p04ProjectedPhysicalMagnitude - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.p04ProjectedPhysicalMagnitude - - -contains - - - -Semantics.ImaginarySemanticTime.p04ProjectedPhysicalGreaterThan60 - -theorem -p04ProjectedPhysicalGreaterThan60 - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.p04ProjectedPhysicalGreaterThan60 - - -contains - - - -Semantics.ImaginarySemanticTime.trivial_observer_sees_zero - -theorem -trivial_observer_sees_zero - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.trivial_observer_sees_zero - - -contains - - - -Semantics.ImaginarySemanticTime.sieve_independent_of_P0 - -theorem -sieve_independent_of_P0 - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.sieve_independent_of_P0 - - -contains - - - -Semantics.ImaginarySemanticTime.reconcileObservers_correct_mod_ℓ1 - -theorem -reconcileObservers_correct_mod_ℓ1 - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.reconcileObservers_correct_mod_ℓ1 - - -contains - - - -Semantics.ImaginarySemanticTime.reconcileObservers_correct_mod_ℓ2 - -theorem -reconcileObservers_correct_mod_ℓ2 - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.reconcileObservers_correct_mod_ℓ2 - - -contains - - - -Semantics.ImaginarySemanticTime.sieveProject_lt_sieveModulus - -theorem -sieveProject_lt_sieveModulus - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.sieveProject_lt_sieveModulus - - -contains - - - -Semantics.ImaginarySemanticTime.reconcileObservers_recovers_coordinate - -theorem -reconcileObservers_recovers_coordinate - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.reconcileObservers_recovers_coordinate - - -contains - - - -Semantics.ImaginarySemanticTime.iUnit - -def -iUnit - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.iUnit - - -contains - - - -Semantics.ImaginarySemanticTime.semanticScale - -def -semanticScale - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.semanticScale - - -contains - - - -Semantics.ImaginarySemanticTime.observerProject - -def -observerProject - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.observerProject - - -contains - - - -Semantics.ImaginarySemanticTime.mengerSemanticTime - -def -mengerSemanticTime - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.mengerSemanticTime - - -contains - - - -Semantics.ImaginarySemanticTime.p04SemanticTime - -def -p04SemanticTime - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.p04SemanticTime - - -contains - - - -Semantics.ImaginarySemanticTime.semanticPeriodRatio - -def -semanticPeriodRatio - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.semanticPeriodRatio - - -contains - - - -Semantics.ImaginarySemanticTime.p0EarthObserverYears - -def -p0EarthObserverYears - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.p0EarthObserverYears - - -contains - - - -Semantics.ImaginarySemanticTime.p04ProjectedPhysical - -def -p04ProjectedPhysical - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.p04ProjectedPhysical - - -contains - - - -Semantics.ImaginarySemanticTime.sieveProject - -def -sieveProject - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.sieveProject - - -contains - - - -Semantics.ImaginarySemanticTime.reconcileObservers - -def -reconcileObservers - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.reconcileObservers - - -contains - - - -Semantics.ImaginarySemanticTime.humanObserver - -def -humanObserver - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.humanObserver - - -contains - - - -Semantics.ImaginarySemanticTime.dolphinObserver - -def -dolphinObserver - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.dolphinObserver - - -contains - - - -Semantics.ImaginarySemanticTime.sharedCoordinate - -def -sharedCoordinate - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.sharedCoordinate - - -contains - - - -Semantics.ImaginarySemanticTime.humanShadow - -def -humanShadow - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.humanShadow - - -contains - - - -Semantics.ImaginarySemanticTime.dolphinShadow - -def -dolphinShadow - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.dolphinShadow - - -contains - - - -Semantics.ImaginarySemanticTime.reconciledShadow - -def -reconciledShadow - - - -Semantics.ImaginarySemanticTime->Semantics.ImaginarySemanticTime.reconciledShadow - - -contains - - - -Semantics.InformationConservation - -module -InformationConservation - - - -Semantics.InformationConservation.bandyopadhyayCycleConservation - -theorem -bandyopadhyayCycleConservation - - - -Semantics.InformationConservation->Semantics.InformationConservation.bandyopadhyayCycleConservation - - -contains - - - -Semantics.InformationConservation.transferPreservesTotalInformation - -theorem -transferPreservesTotalInformation - - - -Semantics.InformationConservation->Semantics.InformationConservation.transferPreservesTotalInformation - - -contains - - - -Semantics.InformationConservation.lawfulTransferPreservesNonNegativity - -theorem -lawfulTransferPreservesNonNegativity - - - -Semantics.InformationConservation->Semantics.InformationConservation.lawfulTransferPreservesNonNegativity - - -contains - - - -Semantics.InformationConservation.informationAdditivity - -theorem -informationAdditivity - - - -Semantics.InformationConservation->Semantics.InformationConservation.informationAdditivity - - -contains - - - -Semantics.InformationConservation.transferBulkToHorizonPreservesTotal - -theorem -transferBulkToHorizonPreservesTotal - - - -Semantics.InformationConservation->Semantics.InformationConservation.transferBulkToHorizonPreservesTotal - - -contains - - - -Semantics.InformationConservation.transferHorizonToVacuumPreservesTotal - -theorem -transferHorizonToVacuumPreservesTotal - - - -Semantics.InformationConservation->Semantics.InformationConservation.transferHorizonToVacuumPreservesTotal - - -contains - - - -Semantics.InformationConservation.informationNonNegative - -theorem -informationNonNegative - - - -Semantics.InformationConservation->Semantics.InformationConservation.informationNonNegative - - -contains - - - -Semantics.InformationConservation.totalDominatesEachPhase - -theorem -totalDominatesEachPhase - - - -Semantics.InformationConservation->Semantics.InformationConservation.totalDominatesEachPhase - - -contains - - - -Semantics.InformationConservation.totalInformation - -def -totalInformation - - - -Semantics.InformationConservation->Semantics.InformationConservation.totalInformation - - -contains - - - -Semantics.InformationConservation.transferInformation - -def -transferInformation - - - -Semantics.InformationConservation->Semantics.InformationConservation.transferInformation - - -contains - - - -Semantics.InformationConservation.isLawfulTransfer - -def -isLawfulTransfer - - - -Semantics.InformationConservation->Semantics.InformationConservation.isLawfulTransfer - - -contains - - - -Semantics.InformationConservation.transferCost - -def -transferCost - - - -Semantics.InformationConservation->Semantics.InformationConservation.transferCost - - -contains - - - -Semantics.InformationConservation.informationInvariant - -def -informationInvariant - - - -Semantics.InformationConservation->Semantics.InformationConservation.informationInvariant - - -contains - - - -Semantics.Ingestion - -module -Ingestion - - - -Semantics.Ingestion->Semantics.Adaptation - - -imports - - - -Semantics.Ingestion.mapToGenome - -def -mapToGenome - - - -Semantics.Ingestion->Semantics.Ingestion.mapToGenome - - -contains - - - -Semantics.Ingestion.isRecordLawful - -def -isRecordLawful - - - -Semantics.Ingestion->Semantics.Ingestion.isRecordLawful - - -contains - - - -Semantics.InteractionGraphSidon - -module -InteractionGraphSidon - - - -Semantics.InteractionGraphSidon.reconstructWeakAxes_mod_a - -theorem -reconstructWeakAxes_mod_a - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.reconstructWeakAxes_mod_a - - -contains - - - -Semantics.InteractionGraphSidon.reconstructWeakAxes_mod_b - -theorem -reconstructWeakAxes_mod_b - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.reconstructWeakAxes_mod_b - - -contains - - - -Semantics.InteractionGraphSidon.weakAxis_coprime_intersect - -theorem -weakAxis_coprime_intersect - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.weakAxis_coprime_intersect - - -contains - - - -Semantics.InteractionGraphSidon.wordProduct - -def -wordProduct - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.wordProduct - - -contains - - - -Semantics.InteractionGraphSidon.isSidonWitness - -def -isSidonWitness - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.isSidonWitness - - -contains - - - -Semantics.InteractionGraphSidon.project - -def -project - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.project - - -contains - - - -Semantics.InteractionGraphSidon.independentAxes - -def -independentAxes - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.independentAxes - - -contains - - - -Semantics.InteractionGraphSidon.reconstructWeakAxes - -def -reconstructWeakAxes - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.reconstructWeakAxes - - -contains - - - -Semantics.InteractionGraphSidon.identityAxis - -def -identityAxis - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.identityAxis - - -contains - - - -Semantics.InteractionGraphSidon.hostingAxis - -def -hostingAxis - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.hostingAxis - - -contains - - - -Semantics.InteractionGraphSidon.appAxis - -def -appAxis - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.appAxis - - -contains - - - -Semantics.InteractionGraphSidon.toyClass - -def -toyClass - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.toyClass - - -contains - - - -Semantics.InteractionGraphSidon.idShadow - -def -idShadow - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.idShadow - - -contains - - - -Semantics.InteractionGraphSidon.hostShadow - -def -hostShadow - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.hostShadow - - -contains - - - -Semantics.InteractionGraphSidon.appShadow - -def -appShadow - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.appShadow - - -contains - - - -Semantics.InteractionGraphSidon.reconstructedTwo - -def -reconstructedTwo - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.reconstructedTwo - - -contains - - - -Semantics.InteractionGraphSidon.reconstructedThree - -def -reconstructedThree - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.reconstructedThree - - -contains - - - -Semantics.InteractionGraphSidon.toyGraph - -def -toyGraph - - - -Semantics.InteractionGraphSidon->Semantics.InteractionGraphSidon.toyGraph - - -contains - - - -Semantics.InteratomicPotential - -module -InteratomicPotential - - - -Semantics.InteratomicPotential->Semantics.Bind - - -imports - - - -Semantics.InteratomicPotential.lawful_resonance_of_stable_atoms - -theorem -lawful_resonance_of_stable_atoms - - - -Semantics.InteratomicPotential->Semantics.InteratomicPotential.lawful_resonance_of_stable_atoms - - -contains - - - -Semantics.InteratomicPotential.landauerThreshold - -def -landauerThreshold - - - -Semantics.InteratomicPotential->Semantics.InteratomicPotential.landauerThreshold - - -contains - - - -Semantics.InteratomicPotential.goldenRatio - -def -goldenRatio - - - -Semantics.InteratomicPotential->Semantics.InteratomicPotential.goldenRatio - - -contains - - - -Semantics.InteratomicPotential.isStable - -def -isStable - - - -Semantics.InteratomicPotential->Semantics.InteratomicPotential.isStable - - -contains - - - -Semantics.InteratomicPotential.atomicInvariant - -def -atomicInvariant - - - -Semantics.InteratomicPotential->Semantics.InteratomicPotential.atomicInvariant - - -contains - - - -Semantics.InteratomicPotential.interatomicCost - -def -interatomicCost - - - -Semantics.InteratomicPotential->Semantics.InteratomicPotential.interatomicCost - - -contains - - - -Semantics.InteratomicPotential.interatomicBind - -def -interatomicBind - - - -Semantics.InteratomicPotential->Semantics.InteratomicPotential.interatomicBind - - -contains - - - -Semantics.IntrinsicGeometry - -module -IntrinsicGeometry - - - -Semantics.IntrinsicGeometry.listBind - -def -listBind - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.listBind - - -contains - - - -Semantics.IntrinsicGeometry.listFilterMap - -def -listFilterMap - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.listFilterMap - - -contains - - - -Semantics.IntrinsicGeometry.extractSomes - -def -extractSomes - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.extractSomes - - -contains - - - -Semantics.IntrinsicGeometry.Graph - -def -Graph - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.Graph - - -contains - - - -Semantics.IntrinsicGeometry.outNeighbors - -def -outNeighbors - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.outNeighbors - - -contains - - - -Semantics.IntrinsicGeometry.inNeighbors - -def -inNeighbors - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.inNeighbors - - -contains - - - -Semantics.IntrinsicGeometry.degree - -def -degree - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.degree - - -contains - - - -Semantics.IntrinsicGeometry.elem - -def -elem - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.elem - - -contains - - - -Semantics.IntrinsicGeometry.List - -def -List - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.List - - -contains - - - -Semantics.IntrinsicGeometry.bfsStep - -def -bfsStep - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.bfsStep - - -contains - - - -Semantics.IntrinsicGeometry.bfsDistancesFuel - -def -bfsDistancesFuel - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.bfsDistancesFuel - - -contains - - - -Semantics.IntrinsicGeometry.geodesicDistance - -def -geodesicDistance - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.geodesicDistance - - -contains - - - -Semantics.IntrinsicGeometry.curvature - -def -curvature - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.curvature - - -contains - - - -Semantics.IntrinsicGeometry.pathCountThrough - -def -pathCountThrough - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.pathCountThrough - - -contains - - - -Semantics.IntrinsicGeometry.betweennessCentrality - -def -betweennessCentrality - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.betweennessCentrality - - -contains - - - -Semantics.IntrinsicGeometry.find2Cycles - -def -find2Cycles - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.find2Cycles - - -contains - - - -Semantics.IntrinsicGeometry.isSource - -def -isSource - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.isSource - - -contains - - - -Semantics.IntrinsicGeometry.isSink - -def -isSink - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.isSink - - -contains - - - -Semantics.IntrinsicGeometry.isIsolated - -def -isIsolated - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.isIsolated - - -contains - - - -Semantics.IntrinsicGeometry.diameter - -def -diameter - - - -Semantics.IntrinsicGeometry->Semantics.IntrinsicGeometry.diameter - - -contains - - - -Semantics.InvariantReceipt.All - -module -All - - - -Semantics.InvariantReceipt.Core - -module -Core - - - -Semantics.InvariantReceipt.Core.computable - -def -computable - - - -Semantics.InvariantReceipt.Core->Semantics.InvariantReceipt.Core.computable - - -contains - - - -Semantics.InvariantReceipt.Core.Hostable - -def -Hostable - - - -Semantics.InvariantReceipt.Core->Semantics.InvariantReceipt.Core.Hostable - - -contains - - - -Semantics.InvariantReceipt.Core.lawfulStep - -def -lawfulStep - - - -Semantics.InvariantReceipt.Core->Semantics.InvariantReceipt.Core.lawfulStep - - -contains - - - -Semantics.InvariantReceipt.Core.lawful - -def -lawful - - - -Semantics.InvariantReceipt.Core->Semantics.InvariantReceipt.Core.lawful - - -contains - - - -Semantics.InvariantReceipt.Instances.AVM - -module -AVM - - - -Semantics.InvariantReceipt.Instances.AVM.Th3_avm_closure - -theorem -Th3_avm_closure - - - -Semantics.InvariantReceipt.Instances.AVM->Semantics.InvariantReceipt.Instances.AVM.Th3_avm_closure - - -contains - - - -Semantics.InvariantReceipt.Instances.AVM.avmInvariant - -def -avmInvariant - - - -Semantics.InvariantReceipt.Instances.AVM->Semantics.InvariantReceipt.Instances.AVM.avmInvariant - - -contains - - - -Semantics.InvariantReceipt.Instances.AVM.avmStep - -def -avmStep - - - -Semantics.InvariantReceipt.Instances.AVM->Semantics.InvariantReceipt.Instances.AVM.avmStep - - -contains - - - -Semantics.InvariantReceipt.Instances.AVM.avmTransform - -def -avmTransform - - - -Semantics.InvariantReceipt.Instances.AVM->Semantics.InvariantReceipt.Instances.AVM.avmTransform - - -contains - - - -Semantics.InvariantReceipt.Instances.AVM.avmCost - -def -avmCost - - - -Semantics.InvariantReceipt.Instances.AVM->Semantics.InvariantReceipt.Instances.AVM.avmCost - - -contains - - - -Semantics.InvariantReceipt.Instances.AVM.avmResidual - -def -avmResidual - - - -Semantics.InvariantReceipt.Instances.AVM->Semantics.InvariantReceipt.Instances.AVM.avmResidual - - -contains - - - -Semantics.InvariantReceipt.Instances.AVM.avmProject - -def -avmProject - - - -Semantics.InvariantReceipt.Instances.AVM->Semantics.InvariantReceipt.Instances.AVM.avmProject - - -contains - - - -Semantics.InvariantReceipt.Instances.AVM.avmValidAtScale - -def -avmValidAtScale - - - -Semantics.InvariantReceipt.Instances.AVM->Semantics.InvariantReceipt.Instances.AVM.avmValidAtScale - - -contains - - - -Semantics.InvariantReceipt.Instances.AVM.avmModel - -def -avmModel - - - -Semantics.InvariantReceipt.Instances.AVM->Semantics.InvariantReceipt.Instances.AVM.avmModel - - -contains - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda - -module -DeltaPhiGammaKLambda - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.Th4_compression_admissibility_skeleton - -theorem -Th4_compression_admissibility_skeleton - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda->Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.Th4_compression_admissibility_skeleton - - -contains - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.dpgInvariant - -def -dpgInvariant - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda->Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.dpgInvariant - - -contains - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.hashBytes - -def -hashBytes - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda->Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.hashBytes - - -contains - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.hashInts - -def -hashInts - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda->Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.hashInts - - -contains - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.MixHash - -def -MixHash - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda->Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.MixHash - - -contains - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.computeDelta - -def -computeDelta - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda->Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.computeDelta - - -contains - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.dpgTransform - -def -dpgTransform - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda->Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.dpgTransform - - -contains - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.dpgCost - -def -dpgCost - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda->Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.dpgCost - - -contains - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.dpgResidual - -def -dpgResidual - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda->Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.dpgResidual - - -contains - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.dpgProject - -def -dpgProject - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda->Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.dpgProject - - -contains - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.dpgValidAtScale - -def -dpgValidAtScale - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda->Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.dpgValidAtScale - - -contains - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.dpgModel - -def -dpgModel - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda->Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.dpgModel - - -contains - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.DoctrineAdmissible - -def -DoctrineAdmissible - - - -Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda->Semantics.InvariantReceipt.Instances.DeltaPhiGammaKLambda.DoctrineAdmissible - - -contains - - - -Semantics.InvariantReceipt.Instances.GRW - -module -GRW - - - -Semantics.InvariantReceipt.Instances.GRW.grwRoundTrip - -theorem -grwRoundTrip - - - -Semantics.InvariantReceipt.Instances.GRW->Semantics.InvariantReceipt.Instances.GRW.grwRoundTrip - - -contains - - - -Semantics.InvariantReceipt.Instances.GRW.Th5_grw_receipt_soundness - -theorem -Th5_grw_receipt_soundness - - - -Semantics.InvariantReceipt.Instances.GRW->Semantics.InvariantReceipt.Instances.GRW.Th5_grw_receipt_soundness - - -contains - - - -Semantics.InvariantReceipt.Instances.GRW.grwInvariant - -def -grwInvariant - - - -Semantics.InvariantReceipt.Instances.GRW->Semantics.InvariantReceipt.Instances.GRW.grwInvariant - - -contains - - - -Semantics.InvariantReceipt.Instances.GRW.grwTransform - -def -grwTransform - - - -Semantics.InvariantReceipt.Instances.GRW->Semantics.InvariantReceipt.Instances.GRW.grwTransform - - -contains - - - -Semantics.InvariantReceipt.Instances.GRW.grwCost - -def -grwCost - - - -Semantics.InvariantReceipt.Instances.GRW->Semantics.InvariantReceipt.Instances.GRW.grwCost - - -contains - - - -Semantics.InvariantReceipt.Instances.GRW.grwResidual - -def -grwResidual - - - -Semantics.InvariantReceipt.Instances.GRW->Semantics.InvariantReceipt.Instances.GRW.grwResidual - - -contains - - - -Semantics.InvariantReceipt.Instances.GRW.grwProject - -def -grwProject - - - -Semantics.InvariantReceipt.Instances.GRW->Semantics.InvariantReceipt.Instances.GRW.grwProject - - -contains - - - -Semantics.InvariantReceipt.Instances.GRW.grwValidAtScale - -def -grwValidAtScale - - - -Semantics.InvariantReceipt.Instances.GRW->Semantics.InvariantReceipt.Instances.GRW.grwValidAtScale - - -contains - - - -Semantics.InvariantReceipt.Instances.GRW.grwModel - -def -grwModel - - - -Semantics.InvariantReceipt.Instances.GRW->Semantics.InvariantReceipt.Instances.GRW.grwModel - - -contains - - - -Semantics.InvariantReceipt.Instances.GRW.grwToWire - -def -grwToWire - - - -Semantics.InvariantReceipt.Instances.GRW->Semantics.InvariantReceipt.Instances.GRW.grwToWire - - -contains - - - -Semantics.InvariantReceipt.Instances.GRW.grwFromWire - -def -grwFromWire - - - -Semantics.InvariantReceipt.Instances.GRW->Semantics.InvariantReceipt.Instances.GRW.grwFromWire - - -contains - - - -Semantics.InvariantReceipt.Instances.GRW.grwAdapter - -def -grwAdapter - - - -Semantics.InvariantReceipt.Instances.GRW->Semantics.InvariantReceipt.Instances.GRW.grwAdapter - - -contains - - - -Semantics.InvariantReceipt.Instances.NUVMAP - -module -NUVMAP - - - -Semantics.InvariantReceipt.Instances.NUVMAP.Th6_nuvmap_invariant_preservation - -theorem -Th6_nuvmap_invariant_preservation - - - -Semantics.InvariantReceipt.Instances.NUVMAP->Semantics.InvariantReceipt.Instances.NUVMAP.Th6_nuvmap_invariant_preservation - - -contains - - - -Semantics.InvariantReceipt.Instances.NUVMAP.Th7_nuvmap_projection_deterministic - -theorem -Th7_nuvmap_projection_deterministic - - - -Semantics.InvariantReceipt.Instances.NUVMAP->Semantics.InvariantReceipt.Instances.NUVMAP.Th7_nuvmap_projection_deterministic - - -contains - - - -Semantics.InvariantReceipt.Instances.NUVMAP.Th8_nuvmap_partition_complete - -theorem -Th8_nuvmap_partition_complete - - - -Semantics.InvariantReceipt.Instances.NUVMAP->Semantics.InvariantReceipt.Instances.NUVMAP.Th8_nuvmap_partition_complete - - -contains - - - -Semantics.InvariantReceipt.Instances.NUVMAP.invariant - -def -invariant - - - -Semantics.InvariantReceipt.Instances.NUVMAP->Semantics.InvariantReceipt.Instances.NUVMAP.invariant - - -contains - - - -Semantics.InvariantReceipt.Instances.NUVMAP.transform - -def -transform - - - -Semantics.InvariantReceipt.Instances.NUVMAP->Semantics.InvariantReceipt.Instances.NUVMAP.transform - - -contains - - - -Semantics.InvariantReceipt.Instances.NUVMAP.project - -def -project - - - -Semantics.InvariantReceipt.Instances.NUVMAP->Semantics.InvariantReceipt.Instances.NUVMAP.project - - -contains - - - -Semantics.InvariantReceipt.Instances.NUVMAP.validAtScale - -def -validAtScale - - - -Semantics.InvariantReceipt.Instances.NUVMAP->Semantics.InvariantReceipt.Instances.NUVMAP.validAtScale - - -contains - - - -Semantics.InvariantReceipt.Instances.NUVMAP.residual - -def -residual - - - -Semantics.InvariantReceipt.Instances.NUVMAP->Semantics.InvariantReceipt.Instances.NUVMAP.residual - - -contains - - - -Semantics.InvariantReceipt.Instances.NUVMAP.cost - -def -cost - - - -Semantics.InvariantReceipt.Instances.NUVMAP->Semantics.InvariantReceipt.Instances.NUVMAP.cost - - -contains - - - -Semantics.InvariantReceipt.Instances.NUVMAP.nuvmapModel - -def -nuvmapModel - - - -Semantics.InvariantReceipt.Instances.NUVMAP->Semantics.InvariantReceipt.Instances.NUVMAP.nuvmapModel - - -contains - - - -Semantics.InvariantReceipt.Instances.TMARP - -module -TMARP - - - -Semantics.InvariantReceipt.Instances.TMARP.tmarp_dpg_refinement - -theorem -tmarp_dpg_refinement - - - -Semantics.InvariantReceipt.Instances.TMARP->Semantics.InvariantReceipt.Instances.TMARP.tmarp_dpg_refinement - - -contains - - - -Semantics.InvariantReceipt.Instances.TMARP.tmarpInvariant - -def -tmarpInvariant - - - -Semantics.InvariantReceipt.Instances.TMARP->Semantics.InvariantReceipt.Instances.TMARP.tmarpInvariant - - -contains - - - -Semantics.InvariantReceipt.Instances.TMARP.tmarpAtomize - -def -tmarpAtomize - - - -Semantics.InvariantReceipt.Instances.TMARP->Semantics.InvariantReceipt.Instances.TMARP.tmarpAtomize - - -contains - - - -Semantics.InvariantReceipt.Instances.TMARP.tmarpTransform - -def -tmarpTransform - - - -Semantics.InvariantReceipt.Instances.TMARP->Semantics.InvariantReceipt.Instances.TMARP.tmarpTransform - - -contains - - - -Semantics.InvariantReceipt.Instances.TMARP.tmarpCost - -def -tmarpCost - - - -Semantics.InvariantReceipt.Instances.TMARP->Semantics.InvariantReceipt.Instances.TMARP.tmarpCost - - -contains - - - -Semantics.InvariantReceipt.Instances.TMARP.tmarpResidual - -def -tmarpResidual - - - -Semantics.InvariantReceipt.Instances.TMARP->Semantics.InvariantReceipt.Instances.TMARP.tmarpResidual - - -contains - - - -Semantics.InvariantReceipt.Instances.TMARP.tmarpProject - -def -tmarpProject - - - -Semantics.InvariantReceipt.Instances.TMARP->Semantics.InvariantReceipt.Instances.TMARP.tmarpProject - - -contains - - - -Semantics.InvariantReceipt.Instances.TMARP.tmarpValidAtScale - -def -tmarpValidAtScale - - - -Semantics.InvariantReceipt.Instances.TMARP->Semantics.InvariantReceipt.Instances.TMARP.tmarpValidAtScale - - -contains - - - -Semantics.InvariantReceipt.Instances.TMARP.tmarpModel - -def -tmarpModel - - - -Semantics.InvariantReceipt.Instances.TMARP->Semantics.InvariantReceipt.Instances.TMARP.tmarpModel - - -contains - - - -Semantics.InvariantReceipt.Instances.TMARP.u32Bytes - -def -u32Bytes - - - -Semantics.InvariantReceipt.Instances.TMARP->Semantics.InvariantReceipt.Instances.TMARP.u32Bytes - - -contains - - - -Semantics.InvariantReceipt.Instances.TMARP.u64Bytes - -def -u64Bytes - - - -Semantics.InvariantReceipt.Instances.TMARP->Semantics.InvariantReceipt.Instances.TMARP.u64Bytes - - -contains - - - -Semantics.InvariantReceipt.Instances.TMARP.tmarpToDPG - -def -tmarpToDPG - - - -Semantics.InvariantReceipt.Instances.TMARP->Semantics.InvariantReceipt.Instances.TMARP.tmarpToDPG - - -contains - - - -Semantics.InvariantReceipt.Ledger - -module -Ledger - - - -Semantics.InvariantReceipt.Ledger.Ledger - -def -Ledger - - - -Semantics.InvariantReceipt.Ledger->Semantics.InvariantReceipt.Ledger.Ledger - - -contains - - - -Semantics.InvariantReceipt.Ledger.deterministic - -def -deterministic - - - -Semantics.InvariantReceipt.Ledger->Semantics.InvariantReceipt.Ledger.deterministic - - -contains - - - -Semantics.InvariantReceipt.Receipt - -module -Receipt - - - -Semantics.InvariantReceipt.Status - -module -Status - - - -Semantics.InvariantReceipt.SubstrateAdapter - -module -SubstrateAdapter - - - -Semantics.InvariantReceipt.Theorems - -module -Theorems - - - -Semantics.InvariantReceipt.Theorems.Th1_admissibility_soundness - -theorem -Th1_admissibility_soundness - - - -Semantics.InvariantReceipt.Theorems->Semantics.InvariantReceipt.Theorems.Th1_admissibility_soundness - - -contains - - - -Semantics.InvariantReceipt.Theorems.Th2_adapter_round_trip - -theorem -Th2_adapter_round_trip - - - -Semantics.InvariantReceipt.Theorems->Semantics.InvariantReceipt.Theorems.Th2_adapter_round_trip - - -contains - - - -Semantics.InvariantReceipt.Theorems.Th3_hostable_from_witness - -theorem -Th3_hostable_from_witness - - - -Semantics.InvariantReceipt.Theorems->Semantics.InvariantReceipt.Theorems.Th3_hostable_from_witness - - -contains - - - -Semantics.InvariantReceipt.Theorems.Th4_compression_admissibility - -def -Th4_compression_admissibility - - - -Semantics.InvariantReceipt.Theorems->Semantics.InvariantReceipt.Theorems.Th4_compression_admissibility - - -contains - - - -Semantics.InvariantReceipt.Theorems.Th5_grw_receipt_soundness - -def -Th5_grw_receipt_soundness - - - -Semantics.InvariantReceipt.Theorems->Semantics.InvariantReceipt.Theorems.Th5_grw_receipt_soundness - - -contains - - - -Semantics.JouleEnergy - -module -JouleEnergy - - - -Semantics.JouleEnergy->Semantics.FixedPoint - - -imports - - - -Semantics.JouleEnergy.lawfulTransitionPreservesEnergyMonotonicity - -theorem -lawfulTransitionPreservesEnergyMonotonic - - - -Semantics.JouleEnergy->Semantics.JouleEnergy.lawfulTransitionPreservesEnergyMonotonicity - - -contains - - - -Semantics.JouleEnergy.energyConservation - -theorem -energyConservation - - - -Semantics.JouleEnergy->Semantics.JouleEnergy.energyConservation - - -contains - - - -Semantics.JouleEnergy.jouleEnergyChargeVoltage - -def -jouleEnergyChargeVoltage - - - -Semantics.JouleEnergy->Semantics.JouleEnergy.jouleEnergyChargeVoltage - - -contains - - - -Semantics.JouleEnergy.joulePowerVoltageCurrent - -def -joulePowerVoltageCurrent - - - -Semantics.JouleEnergy->Semantics.JouleEnergy.joulePowerVoltageCurrent - - -contains - - - -Semantics.JouleEnergy.jouleEnergyPowerTime - -def -jouleEnergyPowerTime - - - -Semantics.JouleEnergy->Semantics.JouleEnergy.jouleEnergyPowerTime - - -contains - - - -Semantics.JouleEnergy.jouleCurrentChargeTime - -def -jouleCurrentChargeTime - - - -Semantics.JouleEnergy->Semantics.JouleEnergy.jouleCurrentChargeTime - - -contains - - - -Semantics.JouleEnergy.isEnergyTransitionLawful - -def -isEnergyTransitionLawful - - - -Semantics.JouleEnergy->Semantics.JouleEnergy.isEnergyTransitionLawful - - -contains - - - -Semantics.JouleEnergy.energyTransitionCost - -def -energyTransitionCost - - - -Semantics.JouleEnergy->Semantics.JouleEnergy.energyTransitionCost - - -contains - - - -Semantics.JouleEnergy.updateEnergyState - -def -updateEnergyState - - - -Semantics.JouleEnergy->Semantics.JouleEnergy.updateEnergyState - - -contains - - - -Semantics.JouleEnergy.energyBind - -def -energyBind - - - -Semantics.JouleEnergy->Semantics.JouleEnergy.energyBind - - -contains - - - -Semantics.JouleEnergy.energyEfficiency - -def -energyEfficiency - - - -Semantics.JouleEnergy->Semantics.JouleEnergy.energyEfficiency - - -contains - - - -Semantics.JouleEnergy.powerEfficiency - -def -powerEfficiency - - - -Semantics.JouleEnergy->Semantics.JouleEnergy.powerEfficiency - - -contains - - - -Semantics.JouleEnergy.energyPerTask - -def -energyPerTask - - - -Semantics.JouleEnergy->Semantics.JouleEnergy.energyPerTask - - -contains - - - -Semantics.JsonLSurfaceConnector - -module -JsonLSurfaceConnector - - - -Semantics.JsonLSurfaceConnector->Semantics.Bind - - -imports - - - -Semantics.JsonLSurfaceConnector.bindConnectorEventLawful - -theorem -bindConnectorEventLawful - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.bindConnectorEventLawful - - -contains - - - -Semantics.JsonLSurfaceConnector.sourceTargetSwarmUnlawful - -theorem -sourceTargetSwarmUnlawful - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.sourceTargetSwarmUnlawful - - -contains - - - -Semantics.JsonLSurfaceConnector.EventSource - -def -EventSource - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.EventSource - - -contains - - - -Semantics.JsonLSurfaceConnector.EventOperation - -def -EventOperation - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.EventOperation - - -contains - - - -Semantics.JsonLSurfaceConnector.BindClass - -def -BindClass - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.BindClass - - -contains - - - -Semantics.JsonLSurfaceConnector.McpTool - -def -McpTool - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.McpTool - - -contains - - - -Semantics.JsonLSurfaceConnector.SurfaceTarget - -def -SurfaceTarget - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.SurfaceTarget - - -contains - - - -Semantics.JsonLSurfaceConnector.bin - -def -bin - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.bin - - -contains - - - -Semantics.JsonLSurfaceConnector.genomeAddress - -def -genomeAddress - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.genomeAddress - - -contains - - - -Semantics.JsonLSurfaceConnector.genomeBucket - -def -genomeBucket - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.genomeBucket - - -contains - - - -Semantics.JsonLSurfaceConnector.sourceTarget - -def -sourceTarget - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.sourceTarget - - -contains - - - -Semantics.JsonLSurfaceConnector.connectorInvariant - -def -connectorInvariant - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.connectorInvariant - - -contains - - - -Semantics.JsonLSurfaceConnector.connectorCost - -def -connectorCost - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.connectorCost - - -contains - - - -Semantics.JsonLSurfaceConnector.bindConnectorEvent - -def -bindConnectorEvent - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.bindConnectorEvent - - -contains - - - -Semantics.JsonLSurfaceConnector.toJsonGenome - -def -toJsonGenome - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.toJsonGenome - - -contains - - - -Semantics.JsonLSurfaceConnector.toJsonBindWitness - -def -toJsonBindWitness - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.toJsonBindWitness - - -contains - - - -Semantics.JsonLSurfaceConnector.toJsonProvenance - -def -toJsonProvenance - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.toJsonProvenance - - -contains - - - -Semantics.JsonLSurfaceConnector.toJsonEvent - -def -toJsonEvent - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.toJsonEvent - - -contains - - - -Semantics.JsonLSurfaceConnector.toJsonConnector - -def -toJsonConnector - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.toJsonConnector - - -contains - - - -Semantics.JsonLSurfaceConnector.instanceConnector - -def -instanceConnector - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.instanceConnector - - -contains - - - -Semantics.JsonLSurfaceConnector.exampleGenome - -def -exampleGenome - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.exampleGenome - - -contains - - - -Semantics.JsonLSurfaceConnector.exampleBindWitness - -def -exampleBindWitness - - - -Semantics.JsonLSurfaceConnector->Semantics.JsonLSurfaceConnector.exampleBindWitness - - -contains - - - -Semantics.KdVBurgersPDE - -module -KdVBurgersPDE - - - -Semantics.KdVBurgersPDE.kdv_energy_correspondence - -theorem -kdv_energy_correspondence - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.kdv_energy_correspondence - - -contains - - - -Semantics.KdVBurgersPDE.kdv_mass_correspondence - -theorem -kdv_mass_correspondence - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.kdv_mass_correspondence - - -contains - - - -Semantics.KdVBurgersPDE.thirdDiff - -def -thirdDiff - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.thirdDiff - - -contains - - - -Semantics.KdVBurgersPDE.kdvBurgersRHS - -def -kdvBurgersRHS - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.kdvBurgersRHS - - -contains - - - -Semantics.KdVBurgersPDE.stepEuler - -def -stepEuler - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.stepEuler - - -contains - - - -Semantics.KdVBurgersPDE.runSteps - -def -runSteps - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.runSteps - - -contains - - - -Semantics.KdVBurgersPDE.kineticEnergy - -def -kineticEnergy - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.kineticEnergy - - -contains - - - -Semantics.KdVBurgersPDE.maxVelocity - -def -maxVelocity - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.maxVelocity - - -contains - - - -Semantics.KdVBurgersPDE.totalMass - -def -totalMass - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.totalMass - - -contains - - - -Semantics.KdVBurgersPDE.dispersionRatio - -def -dispersionRatio - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.dispersionRatio - - -contains - - - -Semantics.KdVBurgersPDE.kdvBurgersInvariant - -def -kdvBurgersInvariant - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.kdvBurgersInvariant - - -contains - - - -Semantics.KdVBurgersPDE.testKdVState - -def -testKdVState - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.testKdVState - - -contains - - - -Semantics.KdVBurgersPDE.kdvBurgersToBraidDef - -def -kdvBurgersToBraidDef - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.kdvBurgersToBraidDef - - -contains - - - -Semantics.KdVBurgersPDE.kdvBurgersToBraid - -def -kdvBurgersToBraid - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.kdvBurgersToBraid - - -contains - - - -Semantics.KdVBurgersPDE.kdvTheoremReceipt - -def -kdvTheoremReceipt - - - -Semantics.KdVBurgersPDE->Semantics.KdVBurgersPDE.kdvTheoremReceipt - - -contains - - - -Semantics.KeplerianOrbit - -module -KeplerianOrbit - - - -Semantics.KeplerianOrbit->Semantics.BraidField - - -imports - - - -Semantics.KeplerianOrbit.oberth_positive_marching - -theorem -oberth_positive_marching - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.oberth_positive_marching - - -contains - - - -Semantics.KeplerianOrbit.oberth_amplification - -theorem -oberth_amplification - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.oberth_amplification - - -contains - - - -Semantics.KeplerianOrbit.ephemeris_energy_preserved - -theorem -ephemeris_energy_preserved - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.ephemeris_energy_preserved - - -contains - - - -Semantics.KeplerianOrbit.minskyHamiltonian - -def -minskyHamiltonian - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.minskyHamiltonian - - -contains - - - -Semantics.KeplerianOrbit.inE8Lattice - -def -inE8Lattice - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.inE8Lattice - - -contains - - - -Semantics.KeplerianOrbit.inE16Lattice - -def -inE16Lattice - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.inE16Lattice - - -contains - - - -Semantics.KeplerianOrbit.isCohnElkiesCompliant - -def -isCohnElkiesCompliant - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.isCohnElkiesCompliant - - -contains - - - -Semantics.KeplerianOrbit.q16ToInt - -def -q16ToInt - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.q16ToInt - - -contains - - - -Semantics.KeplerianOrbit.getNextState - -def -getNextState - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.getNextState - - -contains - - - -Semantics.KeplerianOrbit.ephemerisLUT - -def -ephemerisLUT - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.ephemerisLUT - - -contains - - - -Semantics.KeplerianOrbit.applyOrbitalPerturbation - -def -applyOrbitalPerturbation - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.applyOrbitalPerturbation - - -contains - - - -Semantics.KeplerianOrbit.energyChange - -def -energyChange - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.energyChange - - -contains - - - -Semantics.KeplerianOrbit.linearEnergyChange - -def -linearEnergyChange - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.linearEnergyChange - - -contains - - - -Semantics.KeplerianOrbit.quadraticEnergyChange - -def -quadraticEnergyChange - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.quadraticEnergyChange - - -contains - - - -Semantics.KeplerianOrbit.oberthReceipt - -def -oberthReceipt - - - -Semantics.KeplerianOrbit->Semantics.KeplerianOrbit.oberthReceipt - - -contains - - - -Semantics.Kernel.EigenGate - -module -EigenGate - - - -Semantics.Kernel.EigenGate.shore_is_zero - -theorem -shore_is_zero - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.shore_is_zero - - -contains - - - -Semantics.Kernel.EigenGate.admit_verdict_on_zero_residual - -theorem -admit_verdict_on_zero_residual - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.admit_verdict_on_zero_residual - - -contains - - - -Semantics.Kernel.EigenGate.reject_verdict_on_high_residual - -theorem -reject_verdict_on_high_residual - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.reject_verdict_on_high_residual - - -contains - - - -Semantics.Kernel.EigenGate.score_val_on_zero_residual - -theorem -score_val_on_zero_residual - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.score_val_on_zero_residual - - -contains - - - -Semantics.Kernel.EigenGate.chain_all_admit_admits - -theorem -chain_all_admit_admits - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.chain_all_admit_admits - - -contains - - - -Semantics.Kernel.EigenGate.chain_one_rejects_rejects - -theorem -chain_one_rejects_rejects - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.chain_one_rejects_rejects - - -contains - - - -Semantics.Kernel.EigenGate.chain_optional_reject_no_effect - -theorem -chain_optional_reject_no_effect - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.chain_optional_reject_no_effect - - -contains - - - -Semantics.Kernel.EigenGate.route_admit_zero_residual_is_eigenstate - -theorem -route_admit_zero_residual_is_eigenstate - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.route_admit_zero_residual_is_eigenstate - - -contains - - - -Semantics.Kernel.EigenGate.route_reject_no_receipt_is_error - -theorem -route_reject_no_receipt_is_error - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.route_reject_no_receipt_is_error - - -contains - - - -Semantics.Kernel.EigenGate.route_reject_with_receipt_is_underverse - -theorem -route_reject_with_receipt_is_underverse - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.route_reject_with_receipt_is_underverse - - -contains - - - -Semantics.Kernel.EigenGate.approach_bounded - -theorem -approach_bounded - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.approach_bounded - - -contains - - - -Semantics.Kernel.EigenGate.verdict - -def -verdict - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.verdict - - -contains - - - -Semantics.Kernel.EigenGate.score - -def -score - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.score - - -contains - - - -Semantics.Kernel.EigenGate.route - -def -route - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.route - - -contains - - - -Semantics.Kernel.EigenGate.chainVerdict - -def -chainVerdict - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.chainVerdict - - -contains - - - -Semantics.Kernel.EigenGate.q0Ratio - -def -q0Ratio - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.q0Ratio - - -contains - - - -Semantics.Kernel.EigenGate.shore - -def -shore - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.shore - - -contains - - - -Semantics.Kernel.EigenGate.approach - -def -approach - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.approach - - -contains - - - -Semantics.Kernel.EigenGate.testGateAllAdmit - -def -testGateAllAdmit - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.testGateAllAdmit - - -contains - - - -Semantics.Kernel.EigenGate.testGateAllReject - -def -testGateAllReject - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.testGateAllReject - - -contains - - - -Semantics.Kernel.EigenGate.testGateResidualAtHalf - -def -testGateResidualAtHalf - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.testGateResidualAtHalf - - -contains - - - -Semantics.Kernel.EigenGate.chainFixtureAllAdmit - -def -chainFixtureAllAdmit - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.chainFixtureAllAdmit - - -contains - - - -Semantics.Kernel.EigenGate.chainFixtureOneRejects - -def -chainFixtureOneRejects - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.chainFixtureOneRejects - - -contains - - - -Semantics.Kernel.EigenGate.chainFixtureOptionalReject - -def -chainFixtureOptionalReject - - - -Semantics.Kernel.EigenGate->Semantics.Kernel.EigenGate.chainFixtureOptionalReject - - -contains - - - -Semantics.Kernel.GateChain - -module -GateChain - - - -Semantics.Kernel.GateChain.chainCompositionAllAdmit - -theorem -chainCompositionAllAdmit - - - -Semantics.Kernel.GateChain->Semantics.Kernel.GateChain.chainCompositionAllAdmit - - -contains - - - -Semantics.Kernel.GateChain.chain_optional_reject_preserves_admit - -theorem -chain_optional_reject_preserves_admit - - - -Semantics.Kernel.GateChain->Semantics.Kernel.GateChain.chain_optional_reject_preserves_admit - - -contains - - - -Semantics.Kernel.GateChain.chainScore_all_admit_is_one - -theorem -chainScore_all_admit_is_one - - - -Semantics.Kernel.GateChain->Semantics.Kernel.GateChain.chainScore_all_admit_is_one - - -contains - - - -Semantics.Kernel.GateChain.chainGatesToTuples - -def -chainGatesToTuples - - - -Semantics.Kernel.GateChain->Semantics.Kernel.GateChain.chainGatesToTuples - - -contains - - - -Semantics.Kernel.GateChain.chainScore - -def -chainScore - - - -Semantics.Kernel.GateChain->Semantics.Kernel.GateChain.chainScore - - -contains - - - -Semantics.Kernel.GateChain.testChainAllAdmit - -def -testChainAllAdmit - - - -Semantics.Kernel.GateChain->Semantics.Kernel.GateChain.testChainAllAdmit - - -contains - - - -Semantics.Kernel.GateChain.testChainOptionalOnly - -def -testChainOptionalOnly - - - -Semantics.Kernel.GateChain->Semantics.Kernel.GateChain.testChainOptionalOnly - - -contains - - - -Semantics.KillerCriterion - -module -KillerCriterion - - - -Semantics.KillerCriterion->Semantics.Constitution - - -imports - - - -Semantics.KillerCriterion.noise_rejection_theorem - -theorem -noise_rejection_theorem - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.noise_rejection_theorem - - -contains - - - -Semantics.KillerCriterion.repetition_rejection_theorem - -theorem -repetition_rejection_theorem - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.repetition_rejection_theorem - - -contains - - - -Semantics.KillerCriterion.chaos_rejection_theorem - -theorem -chaos_rejection_theorem - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.chaos_rejection_theorem - - -contains - - - -Semantics.KillerCriterion.incoherence_rejection_theorem - -theorem -incoherence_rejection_theorem - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.incoherence_rejection_theorem - - -contains - - - -Semantics.KillerCriterion.blind_detection_theorem - -theorem -blind_detection_theorem - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.blind_detection_theorem - - -contains - - - -Semantics.KillerCriterion.core_admission_theorem - -theorem -core_admission_theorem - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.core_admission_theorem - - -contains - - - -Semantics.KillerCriterion.noise_flanked_core_theorem - -theorem -noise_flanked_core_theorem - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.noise_flanked_core_theorem - - -contains - - - -Semantics.KillerCriterion.repetition_flanked_core_theorem - -theorem -repetition_flanked_core_theorem - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.repetition_flanked_core_theorem - - -contains - - - -Semantics.KillerCriterion.admitted_core_not_sabotage - -theorem -admitted_core_not_sabotage - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.admitted_core_not_sabotage - - -contains - - - -Semantics.KillerCriterion.unique_core_admission_theorem - -theorem -unique_core_admission_theorem - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.unique_core_admission_theorem - - -contains - - - -Semantics.KillerCriterion.canonical_pi_e_core_unique - -theorem -canonical_pi_e_core_unique - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.canonical_pi_e_core_unique - - -contains - - - -Semantics.KillerCriterion.entropyLower - -def -entropyLower - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.entropyLower - - -contains - - - -Semantics.KillerCriterion.entropyUpper - -def -entropyUpper - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.entropyUpper - - -contains - - - -Semantics.KillerCriterion.densityUpper - -def -densityUpper - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.densityUpper - - -contains - - - -Semantics.KillerCriterion.IsSpectrallyLawful - -def -IsSpectrallyLawful - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.IsSpectrallyLawful - - -contains - - - -Semantics.KillerCriterion.IsKillerLawful - -def -IsKillerLawful - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.IsKillerLawful - - -contains - - - -Semantics.KillerCriterion.RegionAdmitted - -def -RegionAdmitted - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.RegionAdmitted - - -contains - - - -Semantics.KillerCriterion.KillerCriterionAdmission - -def -KillerCriterionAdmission - - - -Semantics.KillerCriterion->Semantics.KillerCriterion.KillerCriterionAdmission - - -contains - - - -Semantics.LadderBraidAlgebra - -module -LadderBraidAlgebra - - - -Semantics.LadderBraidAlgebra.commutator_antisymm - -theorem -commutator_antisymm - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.commutator_antisymm - - -contains - - - -Semantics.LadderBraidAlgebra.admissible_at_max_m_is_highest_weight - -theorem -admissible_at_max_m_is_highest_weight - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.admissible_at_max_m_is_highest_weight - - -contains - - - -Semantics.LadderBraidAlgebra.ladder_raise_identity_test - -theorem -ladder_raise_identity_test - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.ladder_raise_identity_test - - -contains - - - -Semantics.LadderBraidAlgebra.zero - -def -zero - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.zero - - -contains - - - -Semantics.LadderBraidAlgebra.fromPhaseVec - -def -fromPhaseVec - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.fromPhaseVec - - -contains - - - -Semantics.LadderBraidAlgebra.commutatorRaw - -def -commutatorRaw - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.commutatorRaw - - -contains - - - -Semantics.LadderBraidAlgebra.ladderApplyPair - -def -ladderApplyPair - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.ladderApplyPair - - -contains - - - -Semantics.LadderBraidAlgebra.ladderApplyState - -def -ladderApplyState - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.ladderApplyState - - -contains - - - -Semantics.LadderBraidAlgebra.ladderNormSq - -def -ladderNormSq - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.ladderNormSq - - -contains - - - -Semantics.LadderBraidAlgebra.fammEnforcesNormPositivity - -def -fammEnforcesNormPositivity - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.fammEnforcesNormPositivity - - -contains - - - -Semantics.LadderBraidAlgebra.raiseLowerCommutator - -def -raiseLowerCommutator - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.raiseLowerCommutator - - -contains - - - -Semantics.LadderBraidAlgebra.lzRaiseCommutator - -def -lzRaiseCommutator - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.lzRaiseCommutator - - -contains - - - -Semantics.LadderBraidAlgebra.IsHighestWeight - -def -IsHighestWeight - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.IsHighestWeight - - -contains - - - -Semantics.LadderBraidAlgebra.liftToQ16 - -def -liftToQ16 - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.liftToQ16 - - -contains - - - -Semantics.LadderBraidAlgebra.ladderSpectralProfile - -def -ladderSpectralProfile - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.ladderSpectralProfile - - -contains - - - -Semantics.LadderBraidAlgebra.treeNodeToLadderState - -def -treeNodeToLadderState - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.treeNodeToLadderState - - -contains - - - -Semantics.LadderBraidAlgebra.ladderMatchesTreeDIAT - -def -ladderMatchesTreeDIAT - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.ladderMatchesTreeDIAT - - -contains - - - -Semantics.LadderBraidAlgebra.eigensolidTestState - -def -eigensolidTestState - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.eigensolidTestState - - -contains - - - -Semantics.LadderBraidAlgebra.computeCasimir - -def -computeCasimir - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.computeCasimir - - -contains - - - -Semantics.LadderBraidAlgebra.spinOneM0 - -def -spinOneM0 - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.spinOneM0 - - -contains - - - -Semantics.LadderBraidAlgebra.spinOneM1 - -def -spinOneM1 - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.spinOneM1 - - -contains - - - -Semantics.LadderBraidAlgebra.exampleTree - -def -exampleTree - - - -Semantics.LadderBraidAlgebra->Semantics.LadderBraidAlgebra.exampleTree - - -contains - - - -Semantics.LadderLUT - -module -LadderLUT - - - -Semantics.LadderLUT.decimalDenominatorIsRedditWitness - -theorem -decimalDenominatorIsRedditWitness - - - -Semantics.LadderLUT->Semantics.LadderLUT.decimalDenominatorIsRedditWitness - - -contains - - - -Semantics.LadderLUT.decimalReplayStartsAt000 - -theorem -decimalReplayStartsAt000 - - - -Semantics.LadderLUT->Semantics.LadderLUT.decimalReplayStartsAt000 - - -contains - - - -Semantics.LadderLUT.decimalPacketPromotable - -theorem -decimalPacketPromotable - - - -Semantics.LadderLUT->Semantics.LadderLUT.decimalPacketPromotable - - -contains - - - -Semantics.LadderLUT.byteThreePacketPromotable - -theorem -byteThreePacketPromotable - - - -Semantics.LadderLUT->Semantics.LadderLUT.byteThreePacketPromotable - - -contains - - - -Semantics.LadderLUT.tinyLadderNotPromotable - -theorem -tinyLadderNotPromotable - - - -Semantics.LadderLUT->Semantics.LadderLUT.tinyLadderNotPromotable - - -contains - - - -Semantics.LadderLUT.badBaseNotPromotable - -theorem -badBaseNotPromotable - - - -Semantics.LadderLUT->Semantics.LadderLUT.badBaseNotPromotable - - -contains - - - -Semantics.LadderLUT.promotable_ladder_structurally_valid - -theorem -promotable_ladder_structurally_valid - - - -Semantics.LadderLUT->Semantics.LadderLUT.promotable_ladder_structurally_valid - - -contains - - - -Semantics.LadderLUT.promotable_ladder_satisfies_byte_law - -theorem -promotable_ladder_satisfies_byte_law - - - -Semantics.LadderLUT->Semantics.LadderLUT.promotable_ladder_satisfies_byte_law - - -contains - - - -Semantics.LadderLUT.expectedBase - -def -expectedBase - - - -Semantics.LadderLUT->Semantics.LadderLUT.expectedBase - - -contains - - - -Semantics.LadderLUT.blockEnumeratorDenominator - -def -blockEnumeratorDenominator - - - -Semantics.LadderLUT->Semantics.LadderLUT.blockEnumeratorDenominator - - -contains - - - -Semantics.LadderLUT.ladderStructurallyValid - -def -ladderStructurallyValid - - - -Semantics.LadderLUT->Semantics.LadderLUT.ladderStructurallyValid - - -contains - - - -Semantics.LadderLUT.ladderValueAt - -def -ladderValueAt - - - -Semantics.LadderLUT->Semantics.LadderLUT.ladderValueAt - - -contains - - - -Semantics.LadderLUT.replayLadder - -def -replayLadder - - - -Semantics.LadderLUT->Semantics.LadderLUT.replayLadder - - -contains - - - -Semantics.LadderLUT.explicitLutBytes - -def -explicitLutBytes - - - -Semantics.LadderLUT->Semantics.LadderLUT.explicitLutBytes - - -contains - - - -Semantics.LadderLUT.ladderEncodedBytes - -def -ladderEncodedBytes - - - -Semantics.LadderLUT->Semantics.LadderLUT.ladderEncodedBytes - - -contains - - - -Semantics.LadderLUT.ladderByteLawHolds - -def -ladderByteLawHolds - - - -Semantics.LadderLUT->Semantics.LadderLUT.ladderByteLawHolds - - -contains - - - -Semantics.LadderLUT.ladderPromotable - -def -ladderPromotable - - - -Semantics.LadderLUT->Semantics.LadderLUT.ladderPromotable - - -contains - - - -Semantics.LadderLUT.decimalThreeDigitPacket - -def -decimalThreeDigitPacket - - - -Semantics.LadderLUT->Semantics.LadderLUT.decimalThreeDigitPacket - - -contains - - - -Semantics.LadderLUT.byteThreePacket - -def -byteThreePacket - - - -Semantics.LadderLUT->Semantics.LadderLUT.byteThreePacket - - -contains - - - -Semantics.LadderLUT.tinyLadderPacket - -def -tinyLadderPacket - - - -Semantics.LadderLUT->Semantics.LadderLUT.tinyLadderPacket - - -contains - - - -Semantics.LadderLUT.badBasePacket - -def -badBasePacket - - - -Semantics.LadderLUT->Semantics.LadderLUT.badBasePacket - - -contains - - - -Semantics.LandauerCompression - -module -LandauerCompression - - - -Semantics.LandauerCompression->Semantics.FixedPoint - - -imports - - - -Semantics.LandauerCompression.reversibleZeroBound - -theorem -reversibleZeroBound - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.reversibleZeroBound - - -contains - - - -Semantics.LandauerCompression.positiveErasurePositiveLowerBound - -theorem -positiveErasurePositiveLowerBound - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.positiveErasurePositiveLowerBound - - -contains - - - -Semantics.LandauerCompression.landauerUnitCost - -def -landauerUnitCost - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.landauerUnitCost - - -contains - - - -Semantics.LandauerCompression.erasedDirections - -def -erasedDirections - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.erasedDirections - - -contains - - - -Semantics.LandauerCompression.isIrreversible - -def -isIrreversible - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.isIrreversible - - -contains - - - -Semantics.LandauerCompression.landauerLowerBound - -def -landauerLowerBound - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.landauerLowerBound - - -contains - - - -Semantics.LandauerCompression.witnessOfSummaries - -def -witnessOfSummaries - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.witnessOfSummaries - - -contains - - - -Semantics.LandauerCompression.witnessOfNodes - -def -witnessOfNodes - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.witnessOfNodes - - -contains - - - -Semantics.LandauerCompression.samplePreSummary - -def -samplePreSummary - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.samplePreSummary - - -contains - - - -Semantics.LandauerCompression.samplePostSummary - -def -samplePostSummary - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.samplePostSummary - - -contains - - - -Semantics.LandauerCompression.sampleWitness - -def -sampleWitness - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.sampleWitness - - -contains - - - -Semantics.LandauerCompression.sampleReversibleWitness - -def -sampleReversibleWitness - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.sampleReversibleWitness - - -contains - - - -Semantics.LandauerCompression.LandauerLogicalMass - -def -LandauerLogicalMass - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.LandauerLogicalMass - - -contains - - - -Semantics.LandauerCompression.reversibleZeroBoundMass - -def -reversibleZeroBoundMass - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.reversibleZeroBoundMass - - -contains - - - -Semantics.LandauerCompression.positiveErasurePositiveLowerBoundMass - -def -positiveErasurePositiveLowerBoundMass - - - -Semantics.LandauerCompression->Semantics.LandauerCompression.positiveErasurePositiveLowerBoundMass - - -contains - - - -Semantics.LaviGen - -module -LaviGen - - - -Semantics.LaviGen.zero - -def -zero - - - -Semantics.LaviGen->Semantics.LaviGen.zero - - -contains - - - -Semantics.LaviGen.one - -def -one - - - -Semantics.LaviGen->Semantics.LaviGen.one - - -contains - - - -Semantics.LaviGen.epsilon - -def -epsilon - - - -Semantics.LaviGen->Semantics.LaviGen.epsilon - - -contains - - - -Semantics.LaviGen.ofNat - -def -ofNat - - - -Semantics.LaviGen->Semantics.LaviGen.ofNat - - -contains - - - -Semantics.LaviGen.ofFloat - -def -ofFloat - - - -Semantics.LaviGen->Semantics.LaviGen.ofFloat - - -contains - - - -Semantics.LaviGen.add - -def -add - - - -Semantics.LaviGen->Semantics.LaviGen.add - - -contains - - - -Semantics.LaviGen.sub - -def -sub - - - -Semantics.LaviGen->Semantics.LaviGen.sub - - -contains - - - -Semantics.LaviGen.mul - -def -mul - - - -Semantics.LaviGen->Semantics.LaviGen.mul - - -contains - - - -Semantics.LaviGen.div - -def -div - - - -Semantics.LaviGen->Semantics.LaviGen.div - - -contains - - - -Semantics.LaviGen.neg - -def -neg - - - -Semantics.LaviGen->Semantics.LaviGen.neg - - -contains - - - -Semantics.LaviGen.abs - -def -abs - - - -Semantics.LaviGen->Semantics.LaviGen.abs - - -contains - - - -Semantics.LaviGen.lerp - -def -lerp - - - -Semantics.LaviGen->Semantics.LaviGen.lerp - - -contains - - - -Semantics.LaviGen.clip01 - -def -clip01 - - - -Semantics.LaviGen->Semantics.LaviGen.clip01 - - -contains - - - -Semantics.LaviGen.CleanSample - -def -CleanSample - - - -Semantics.LaviGen->Semantics.LaviGen.CleanSample - - -contains - - - -Semantics.LaviGen.NoiseSample - -def -NoiseSample - - - -Semantics.LaviGen->Semantics.LaviGen.NoiseSample - - -contains - - - -Semantics.LaviGen.flowMatchingPerturb - -def -flowMatchingPerturb - - - -Semantics.LaviGen->Semantics.LaviGen.flowMatchingPerturb - - -contains - - - -Semantics.LaviGen.flowMatchingLoss - -def -flowMatchingLoss - - - -Semantics.LaviGen->Semantics.LaviGen.flowMatchingLoss - - -contains - - - -Semantics.LaviGen.autoregressiveStep - -def -autoregressiveStep - - - -Semantics.LaviGen->Semantics.LaviGen.autoregressiveStep - - -contains - - - -Semantics.LaviGen.autoregressiveRollout - -def -autoregressiveRollout - - - -Semantics.LaviGen->Semantics.LaviGen.autoregressiveRollout - - -contains - - - -Semantics.LaviGen.selfRolloutStep - -def -selfRolloutStep - - - -Semantics.LaviGen->Semantics.LaviGen.selfRolloutStep - - -contains - - - -Semantics.LawfulLoss - -module -LawfulLoss - - - -Semantics.LawfulLoss.bindClassLabel - -def -bindClassLabel - - - -Semantics.LawfulLoss->Semantics.LawfulLoss.bindClassLabel - - -contains - - - -Semantics.LawfulLoss.mkLawful - -def -mkLawful - - - -Semantics.LawfulLoss->Semantics.LawfulLoss.mkLawful - - -contains - - - -Semantics.LawfulLoss.mkUnlawful - -def -mkUnlawful - - - -Semantics.LawfulLoss->Semantics.LawfulLoss.mkUnlawful - - -contains - - - -Semantics.LawfulLoss.isLawful - -def -isLawful - - - -Semantics.LawfulLoss->Semantics.LawfulLoss.isLawful - - -contains - - - -Semantics.LawfulLoss.bindCost - -def -bindCost - - - -Semantics.LawfulLoss->Semantics.LawfulLoss.bindCost - - -contains - - - -Semantics.LawfulLoss.bindWitness - -def -bindWitness - - - -Semantics.LawfulLoss->Semantics.LawfulLoss.bindWitness - - -contains - - - -Semantics.LawfulLoss.lawfulLoss - -def -lawfulLoss - - - -Semantics.LawfulLoss->Semantics.LawfulLoss.lawfulLoss - - -contains - - - -Semantics.LawfulLoss.invariantLabel - -def -invariantLabel - - - -Semantics.LawfulLoss->Semantics.LawfulLoss.invariantLabel - - -contains - - - -Semantics.LawfulLoss.allInvariantsPreserved - -def -allInvariantsPreserved - - - -Semantics.LawfulLoss->Semantics.LawfulLoss.allInvariantsPreserved - - -contains - - - -Semantics.LawfulLoss.exampleHumanHuman - -def -exampleHumanHuman - - - -Semantics.LawfulLoss->Semantics.LawfulLoss.exampleHumanHuman - - -contains - - - -Semantics.LawfulLoss.exampleHumanDolphin - -def -exampleHumanDolphin - - - -Semantics.LawfulLoss->Semantics.LawfulLoss.exampleHumanDolphin - - -contains - - - -Semantics.LawfulLoss.exampleBadLoss - -def -exampleBadLoss - - - -Semantics.LawfulLoss->Semantics.LawfulLoss.exampleBadLoss - - -contains - - - -Semantics.LawfulLoss.exampleHumanMachine - -def -exampleHumanMachine - - - -Semantics.LawfulLoss->Semantics.LawfulLoss.exampleHumanMachine - - -contains - - - -Semantics.LawfulLoss.exampleHumanAlien - -def -exampleHumanAlien - - - -Semantics.LawfulLoss->Semantics.LawfulLoss.exampleHumanAlien - - -contains - - - -Semantics.Layer3TransmissionModel - -module -Layer3TransmissionModel - - - -Semantics.Layer3TransmissionModel->Semantics.FixedPoint - - -imports - - - -Semantics.Layer3TransmissionModel.local_computation_zero_transmitted - -theorem -local_computation_zero_transmitted - - - -Semantics.Layer3TransmissionModel->Semantics.Layer3TransmissionModel.local_computation_zero_transmitted - - -contains - - - -Semantics.Layer3TransmissionModel.local_computation_no_size_change - -theorem -local_computation_no_size_change - - - -Semantics.Layer3TransmissionModel->Semantics.Layer3TransmissionModel.local_computation_no_size_change - - -contains - - - -Semantics.Layer3TransmissionModel.local_computation_not_compression - -theorem -local_computation_not_compression - - - -Semantics.Layer3TransmissionModel->Semantics.Layer3TransmissionModel.local_computation_not_compression - - -contains - - - -Semantics.Layer3TransmissionModel.transmission_avoidance_not_compression - -theorem -transmission_avoidance_not_compression - - - -Semantics.Layer3TransmissionModel->Semantics.Layer3TransmissionModel.transmission_avoidance_not_compression - - -contains - - - -Semantics.Layer3TransmissionModel.effective_cost_not_infinite - -theorem -effective_cost_not_infinite - - - -Semantics.Layer3TransmissionModel->Semantics.Layer3TransmissionModel.effective_cost_not_infinite - - -contains - - - -Semantics.Layer3TransmissionModel.effective_cost_formula_correct - -theorem -effective_cost_formula_correct - - - -Semantics.Layer3TransmissionModel->Semantics.Layer3TransmissionModel.effective_cost_formula_correct - - -contains - - - -Semantics.Layer3TransmissionModel.compression_ratio_zero_denominator_is_infinity - -theorem -compression_ratio_zero_denominator_is_in - - - -Semantics.Layer3TransmissionModel->Semantics.Layer3TransmissionModel.compression_ratio_zero_denominator_is_infinity - - -contains - - - -Semantics.Layer3TransmissionModel.localComputationCost - -def -localComputationCost - - - -Semantics.Layer3TransmissionModel->Semantics.Layer3TransmissionModel.localComputationCost - - -contains - - - -Semantics.Layer3TransmissionModel.anchorTransmissionCost - -def -anchorTransmissionCost - - - -Semantics.Layer3TransmissionModel->Semantics.Layer3TransmissionModel.anchorTransmissionCost - - -contains - - - -Semantics.Layer3TransmissionModel.compressionRatio - -def -compressionRatio - - - -Semantics.Layer3TransmissionModel->Semantics.Layer3TransmissionModel.compressionRatio - - -contains - - - -Semantics.Layer3TransmissionModel.calculateEffectiveCost - -def -calculateEffectiveCost - - - -Semantics.Layer3TransmissionModel->Semantics.Layer3TransmissionModel.calculateEffectiveCost - - -contains - - - -Semantics.Lean4ImprovementProofs - -module -Lean4ImprovementProofs - - - -Semantics.Lean4ImprovementProofs.aiTacticsImprovesUsability - -theorem -aiTacticsImprovesUsability - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.aiTacticsImprovesUsability - - -contains - - - -Semantics.Lean4ImprovementProofs.hardwareExtractionMaximizesExtraction - -theorem -hardwareExtractionMaximizesExtraction - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.hardwareExtractionMaximizesExtraction - - -contains - - - -Semantics.Lean4ImprovementProofs.parallelCompilationImprovesSpeed - -theorem -parallelCompilationImprovesSpeed - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.parallelCompilationImprovesSpeed - - -contains - - - -Semantics.Lean4ImprovementProofs.mlIntegrationExpandsEcosystem - -theorem -mlIntegrationExpandsEcosystem - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.mlIntegrationExpandsEcosystem - - -contains - - - -Semantics.Lean4ImprovementProofs.typeInferenceImprovesQuality - -theorem -typeInferenceImprovesQuality - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.typeInferenceImprovesQuality - - -contains - - - -Semantics.Lean4ImprovementProofs.physicsLibraryMaximizesEcosystem - -theorem -physicsLibraryMaximizesEcosystem - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.physicsLibraryMaximizesEcosystem - - -contains - - - -Semantics.Lean4ImprovementProofs.applyAITacticsImprovesUsability - -theorem -applyAITacticsImprovesUsability - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.applyAITacticsImprovesUsability - - -contains - - - -Semantics.Lean4ImprovementProofs.hardwareExtractionMaximizesSystemExtraction - -theorem -hardwareExtractionMaximizesSystemExtract - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.hardwareExtractionMaximizesSystemExtraction - - -contains - - - -Semantics.Lean4ImprovementProofs.allImprovementsImproveSystem - -theorem -allImprovementsImproveSystem - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.allImprovementsImproveSystem - - -contains - - - -Semantics.Lean4ImprovementProofs.priorityMonotonic - -theorem -priorityMonotonic - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.priorityMonotonic - - -contains - - - -Semantics.Lean4ImprovementProofs.hardwareExtractionHighestPriority - -theorem -hardwareExtractionHighestPriority - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.hardwareExtractionHighestPriority - - -contains - - - -Semantics.Lean4ImprovementProofs.allImprovementsGuaranteed - -theorem -allImprovementsGuaranteed - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.allImprovementsGuaranteed - - -contains - - - -Semantics.Lean4ImprovementProofs.mathematicalCertaintyOfImprovement - -theorem -mathematicalCertaintyOfImprovement - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.mathematicalCertaintyOfImprovement - - -contains - - - -Semantics.Lean4ImprovementProofs.computePriority - -def -computePriority - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.computePriority - - -contains - - - -Semantics.Lean4ImprovementProofs.aiTacticsImprovement - -def -aiTacticsImprovement - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.aiTacticsImprovement - - -contains - - - -Semantics.Lean4ImprovementProofs.aiTacticsEffect - -def -aiTacticsEffect - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.aiTacticsEffect - - -contains - - - -Semantics.Lean4ImprovementProofs.hardwareExtractionImprovement - -def -hardwareExtractionImprovement - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.hardwareExtractionImprovement - - -contains - - - -Semantics.Lean4ImprovementProofs.hardwareExtractionEffect - -def -hardwareExtractionEffect - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.hardwareExtractionEffect - - -contains - - - -Semantics.Lean4ImprovementProofs.parallelCompilationImprovement - -def -parallelCompilationImprovement - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.parallelCompilationImprovement - - -contains - - - -Semantics.Lean4ImprovementProofs.parallelCompilationEffect - -def -parallelCompilationEffect - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.parallelCompilationEffect - - -contains - - - -Semantics.Lean4ImprovementProofs.mlIntegrationImprovement - -def -mlIntegrationImprovement - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.mlIntegrationImprovement - - -contains - - - -Semantics.Lean4ImprovementProofs.mlIntegrationEffect - -def -mlIntegrationEffect - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.mlIntegrationEffect - - -contains - - - -Semantics.Lean4ImprovementProofs.typeInferenceImprovement - -def -typeInferenceImprovement - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.typeInferenceImprovement - - -contains - - - -Semantics.Lean4ImprovementProofs.typeInferenceEffect - -def -typeInferenceEffect - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.typeInferenceEffect - - -contains - - - -Semantics.Lean4ImprovementProofs.physicsLibraryImprovement - -def -physicsLibraryImprovement - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.physicsLibraryImprovement - - -contains - - - -Semantics.Lean4ImprovementProofs.physicsLibraryEffect - -def -physicsLibraryEffect - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.physicsLibraryEffect - - -contains - - - -Semantics.Lean4ImprovementProofs.applyImprovement - -def -applyImprovement - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.applyImprovement - - -contains - - - -Semantics.Lean4ImprovementProofs.improvementGuaranteed - -def -improvementGuaranteed - - - -Semantics.Lean4ImprovementProofs->Semantics.Lean4ImprovementProofs.improvementGuaranteed - - -contains - - - -Semantics.LeanBridge - -module -LeanBridge - - - -Semantics.LeanBridge->Mathlib.Data.Rat.Defs - - -imports - - - -Semantics.LeanBridge.safeCount - -def -safeCount - - - -Semantics.LeanBridge->Semantics.LeanBridge.safeCount - - -contains - - - -Semantics.LeanBridge.q0 - -def -q0 - - - -Semantics.LeanBridge->Semantics.LeanBridge.q0 - - -contains - - - -Semantics.LeanBridge.q1 - -def -q1 - - - -Semantics.LeanBridge->Semantics.LeanBridge.q1 - - -contains - - - -Semantics.LeanBridge.mkStruct - -def -mkStruct - - - -Semantics.LeanBridge->Semantics.LeanBridge.mkStruct - - -contains - - - -Semantics.LeanBridge.structCases - -def -structCases - - - -Semantics.LeanBridge->Semantics.LeanBridge.structCases - - -contains - - - -Semantics.LeanBridge.safeFilter - -def -safeFilter - - - -Semantics.LeanBridge->Semantics.LeanBridge.safeFilter - - -contains - - - -Semantics.LeanBridge.safeFind - -def -safeFind - - - -Semantics.LeanBridge->Semantics.LeanBridge.safeFind - - -contains - - - -Semantics.LeanBridge.safeAny - -def -safeAny - - - -Semantics.LeanBridge->Semantics.LeanBridge.safeAny - - -contains - - - -Semantics.LeanBridge.safeAll - -def -safeAll - - - -Semantics.LeanBridge->Semantics.LeanBridge.safeAll - - -contains - - - -Semantics.LeanBridge.natToQ - -def -natToQ - - - -Semantics.LeanBridge->Semantics.LeanBridge.natToQ - - -contains - - - -Semantics.LeanBridge.intToQ - -def -intToQ - - - -Semantics.LeanBridge->Semantics.LeanBridge.intToQ - - -contains - - - -Semantics.LeanGPTTSMLayer - -module -LeanGPTTSMLayer - - - -Semantics.LeanGPTTSMLayer->Semantics.FixedPoint - - -imports - - - -Semantics.LeanGPTTSMLayer.metatypeConfidenceMonotonicity - -theorem -metatypeConfidenceMonotonicity - - - -Semantics.LeanGPTTSMLayer->Semantics.LeanGPTTSMLayer.metatypeConfidenceMonotonicity - - -contains - - - -Semantics.LeanGPTTSMLayer.skepticalConsistency - -theorem -skepticalConsistency - - - -Semantics.LeanGPTTSMLayer->Semantics.LeanGPTTSMLayer.skepticalConsistency - - -contains - - - -Semantics.LeanGPTTSMLayer.codeGenTypeSafety - -theorem -codeGenTypeSafety - - - -Semantics.LeanGPTTSMLayer->Semantics.LeanGPTTSMLayer.codeGenTypeSafety - - -contains - - - -Semantics.LeanGPTTSMLayer.selfImprovementConvergence - -theorem -selfImprovementConvergence - - - -Semantics.LeanGPTTSMLayer->Semantics.LeanGPTTSMLayer.selfImprovementConvergence - - -contains - - - -Semantics.LeanGPTTSMLayer.leanGPTBind - -def -leanGPTBind - - - -Semantics.LeanGPTTSMLayer->Semantics.LeanGPTTSMLayer.leanGPTBind - - -contains - - - -Semantics.LeanGPTTSMLayer.generateMetatype - -def -generateMetatype - - - -Semantics.LeanGPTTSMLayer->Semantics.LeanGPTTSMLayer.generateMetatype - - -contains - - - -Semantics.LeanGPTTSMLayer.applyMetatype - -def -applyMetatype - - - -Semantics.LeanGPTTSMLayer->Semantics.LeanGPTTSMLayer.applyMetatype - - -contains - - - -Semantics.LeanGPTTSMLayer.selfImprove - -def -selfImprove - - - -Semantics.LeanGPTTSMLayer->Semantics.LeanGPTTSMLayer.selfImprove - - -contains - - - -Semantics.LeanGPTTSMLayer.runSkepticalVerification - -def -runSkepticalVerification - - - -Semantics.LeanGPTTSMLayer->Semantics.LeanGPTTSMLayer.runSkepticalVerification - - -contains - - - -Semantics.LeanGPTTSMLayer.generateSwarmCode - -def -generateSwarmCode - - - -Semantics.LeanGPTTSMLayer->Semantics.LeanGPTTSMLayer.generateSwarmCode - - -contains - - - -Semantics.LeanGPTTSMLayer.leanGPTTSMBind - -def -leanGPTTSMBind - - - -Semantics.LeanGPTTSMLayer->Semantics.LeanGPTTSMLayer.leanGPTTSMBind - - -contains - - - -Semantics.LeanProof - -module -LeanProof - - - -Semantics.LeanProof->Mathlib.Data.List.Basic - - -imports - - - -Semantics.LeanProof.encode_decode_roundtrip - -theorem -encode_decode_roundtrip - - - -Semantics.LeanProof->Semantics.LeanProof.encode_decode_roundtrip - - -contains - - - -Semantics.LeanProof.Q16Timestamp - -theorem -Q16Timestamp - - - -Semantics.LeanProof->Semantics.LeanProof.Q16Timestamp - - -contains - - - -Semantics.LeanProof->Semantics.LeanProof.Q16Timestamp - - -contains - - - -Semantics.LeanProof->Semantics.LeanProof.Q16Timestamp - - -contains - - - -Semantics.LeanProof.traceHash - -def -traceHash - - - -Semantics.LeanProof->Semantics.LeanProof.traceHash - - -contains - - - -Semantics.LeanProof.encodeTrace - -def -encodeTrace - - - -Semantics.LeanProof->Semantics.LeanProof.encodeTrace - - -contains - - - -Semantics.LeanProof.decodeTrace - -def -decodeTrace - - - -Semantics.LeanProof->Semantics.LeanProof.decodeTrace - - -contains - - - -Semantics.Lemmas - -module -Lemmas - - - -Semantics.Lemmas->Semantics.Atoms - - -imports - - - -Semantics.Lemmas.HasAtom - -def -HasAtom - - - -Semantics.Lemmas->Semantics.Lemmas.HasAtom - - -contains - - - -Semantics.Lemmas.isAgentive - -def -isAgentive - - - -Semantics.Lemmas->Semantics.Lemmas.isAgentive - - -contains - - - -Semantics.LocalDerivative - -module -LocalDerivative - - - -Semantics.LocalDerivative.matrixScale_total - -theorem -matrixScale_total - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixScale_total - - -contains - - - -Semantics.LocalDerivative.matrixTranspose_total - -theorem -matrixTranspose_total - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixTranspose_total - - -contains - - - -Semantics.LocalDerivative.trace_total - -theorem -trace_total - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.trace_total - - -contains - - - -Semantics.LocalDerivative.classifyStability_total - -theorem -classifyStability_total - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.classifyStability_total - - -contains - - - -Semantics.LocalDerivative.rectangularRowsInvariant - -def -rectangularRowsInvariant - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.rectangularRowsInvariant - - -contains - - - -Semantics.LocalDerivative.squareMatrixInvariant - -def -squareMatrixInvariant - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.squareMatrixInvariant - - -contains - - - -Semantics.LocalDerivative.localDerivativeInvariant - -def -localDerivativeInvariant - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.localDerivativeInvariant - - -contains - - - -Semantics.LocalDerivative.zeroMatrix - -def -zeroMatrix - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.zeroMatrix - - -contains - - - -Semantics.LocalDerivative.matrixDimension - -def -matrixDimension - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixDimension - - -contains - - - -Semantics.LocalDerivative.listGet - -def -listGet - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.listGet - - -contains - - - -Semantics.LocalDerivative.matrixGet - -def -matrixGet - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixGet - - -contains - - - -Semantics.LocalDerivative.matrixEntryOrZero - -def -matrixEntryOrZero - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixEntryOrZero - - -contains - - - -Semantics.LocalDerivative.matrixTranspose - -def -matrixTranspose - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixTranspose - - -contains - - - -Semantics.LocalDerivative.matrixZipWith - -def -matrixZipWith - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixZipWith - - -contains - - - -Semantics.LocalDerivative.matrixScale - -def -matrixScale - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixScale - - -contains - - - -Semantics.LocalDerivative.matrixMapWithIndex - -def -matrixMapWithIndex - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixMapWithIndex - - -contains - - - -Semantics.LocalDerivative.matrixFlatten - -def -matrixFlatten - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixFlatten - - -contains - - - -Semantics.LocalDerivative.matrixL1Norm - -def -matrixL1Norm - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixL1Norm - - -contains - - - -Semantics.LocalDerivative.matrixFrobeniusNormSq - -def -matrixFrobeniusNormSq - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixFrobeniusNormSq - - -contains - - - -Semantics.LocalDerivative.matrixFrobeniusNorm - -def -matrixFrobeniusNorm - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixFrobeniusNorm - - -contains - - - -Semantics.LocalDerivative.matrixAdd - -def -matrixAdd - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixAdd - - -contains - - - -Semantics.LocalDerivative.matrixSubtract - -def -matrixSubtract - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixSubtract - - -contains - - - -Semantics.LocalDerivative.matrixNegate - -def -matrixNegate - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.matrixNegate - - -contains - - - -Semantics.LocalDerivative.symmetricPart - -def -symmetricPart - - - -Semantics.LocalDerivative->Semantics.LocalDerivative.symmetricPart - - -contains - - - -Semantics.LocalExpansion - -module -LocalExpansion - - - -Semantics.LocalExpansion.localExpansionInvariant - -def -localExpansionInvariant - - - -Semantics.LocalExpansion->Semantics.LocalExpansion.localExpansionInvariant - - -contains - - - -Semantics.LocalExpansion.fromLocalDerivative - -def -fromLocalDerivative - - - -Semantics.LocalExpansion->Semantics.LocalExpansion.fromLocalDerivative - - -contains - - - -Semantics.LocalExpansion.listGet - -def -listGet - - - -Semantics.LocalExpansion->Semantics.LocalExpansion.listGet - - -contains - - - -Semantics.LocalExpansion.evaluateLinear - -def -evaluateLinear - - - -Semantics.LocalExpansion->Semantics.LocalExpansion.evaluateLinear - - -contains - - - -Semantics.LocalExpansion.quadraticForm - -def -quadraticForm - - - -Semantics.LocalExpansion->Semantics.LocalExpansion.quadraticForm - - -contains - - - -Semantics.LocalExpansion.evaluateTaylor2 - -def -evaluateTaylor2 - - - -Semantics.LocalExpansion->Semantics.LocalExpansion.evaluateTaylor2 - - -contains - - - -Semantics.LogogramRotationLoop - -module -LogogramRotationLoop - - - -Semantics.LogogramRotationLoop.single_cycle_produces_one_structure - -theorem -single_cycle_produces_one_structure - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.single_cycle_produces_one_structure - - -contains - - - -Semantics.LogogramRotationLoop.three_cycle_beam_has_positive_activation - -theorem -three_cycle_beam_has_positive_activation - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.three_cycle_beam_has_positive_activation - - -contains - - - -Semantics.LogogramRotationLoop.three_cycle_integrates_all_layers - -theorem -three_cycle_integrates_all_layers - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.three_cycle_integrates_all_layers - - -contains - - - -Semantics.LogogramRotationLoop.single_cycle_integrates_one_layer - -theorem -single_cycle_integrates_one_layer - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.single_cycle_integrates_one_layer - - -contains - - - -Semantics.LogogramRotationLoop.empty_cycle_has_zero_activation - -theorem -empty_cycle_has_zero_activation - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.empty_cycle_has_zero_activation - - -contains - - - -Semantics.LogogramRotationLoop.zero_is_in_low_band - -theorem -zero_is_in_low_band - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.zero_is_in_low_band - - -contains - - - -Semantics.LogogramRotationLoop.half_is_in_mid_band - -theorem -half_is_in_mid_band - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.half_is_in_mid_band - - -contains - - - -Semantics.LogogramRotationLoop.one_is_in_high_band - -theorem -one_is_in_high_band - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.one_is_in_high_band - - -contains - - - -Semantics.LogogramRotationLoop.low_and_mid_bands_are_disjoint - -theorem -low_and_mid_bands_are_disjoint - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.low_and_mid_bands_are_disjoint - - -contains - - - -Semantics.LogogramRotationLoop.inBand - -def -inBand - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.inBand - - -contains - - - -Semantics.LogogramRotationLoop.integrateLayer - -def -integrateLayer - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.integrateLayer - - -contains - - - -Semantics.LogogramRotationLoop.runRotationCycle - -def -runRotationCycle - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.runRotationCycle - - -contains - - - -Semantics.LogogramRotationLoop.resolveStructure - -def -resolveStructure - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.resolveStructure - - -contains - - - -Semantics.LogogramRotationLoop.resolveAllStructures - -def -resolveAllStructures - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.resolveAllStructures - - -contains - - - -Semantics.LogogramRotationLoop.materializedCount - -def -materializedCount - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.materializedCount - - -contains - - - -Semantics.LogogramRotationLoop.lowBand - -def -lowBand - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.lowBand - - -contains - - - -Semantics.LogogramRotationLoop.midBand - -def -midBand - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.midBand - - -contains - - - -Semantics.LogogramRotationLoop.highBand - -def -highBand - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.highBand - - -contains - - - -Semantics.LogogramRotationLoop.threeStructureCycle - -def -threeStructureCycle - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.threeStructureCycle - - -contains - - - -Semantics.LogogramRotationLoop.singleStructureCycle - -def -singleStructureCycle - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.singleStructureCycle - - -contains - - - -Semantics.LogogramRotationLoop.singleBeam - -def -singleBeam - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.singleBeam - - -contains - - - -Semantics.LogogramRotationLoop.threeBeam - -def -threeBeam - - - -Semantics.LogogramRotationLoop->Semantics.LogogramRotationLoop.threeBeam - - -contains - - - -Semantics.LogogramSubstitution - -module -LogogramSubstitution - - - -Semantics.LogogramSubstitution.hashed_multichar_requires_residual - -theorem -hashed_multichar_requires_residual - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.hashed_multichar_requires_residual - - -contains - - - -Semantics.LogogramSubstitution.sidecar_ops_declare_residual - -theorem -sidecar_ops_declare_residual - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.sidecar_ops_declare_residual - - -contains - - - -Semantics.LogogramSubstitution.literal_atom_is_payload_only_accepted - -theorem -literal_atom_is_payload_only_accepted - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.literal_atom_is_payload_only_accepted - - -contains - - - -Semantics.LogogramSubstitution.known_command_collision_is_held - -theorem -known_command_collision_is_held - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.known_command_collision_is_held - - -contains - - - -Semantics.LogogramSubstitution.hashed_identifier_is_held - -theorem -hashed_identifier_is_held - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.hashed_identifier_is_held - - -contains - - - -Semantics.LogogramSubstitution.truncated_payload_is_held - -theorem -truncated_payload_is_held - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.truncated_payload_is_held - - -contains - - - -Semantics.LogogramSubstitution.semantic_tear_is_quarantined - -theorem -semantic_tear_is_quarantined - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.semantic_tear_is_quarantined - - -contains - - - -Semantics.LogogramSubstitution.accepted_substitution_has_payload_round_trip - -theorem -accepted_substitution_has_payload_round_ - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.accepted_substitution_has_payload_round_trip - - -contains - - - -Semantics.LogogramSubstitution.tokenClassNeedsResidual - -def -tokenClassNeedsResidual - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.tokenClassNeedsResidual - - -contains - - - -Semantics.LogogramSubstitution.sidecarOpDeclaresResidual - -def -sidecarOpDeclaresResidual - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.sidecarOpDeclaresResidual - - -contains - - - -Semantics.LogogramSubstitution.gcclReceiptShapeComplete - -def -gcclReceiptShapeComplete - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.gcclReceiptShapeComplete - - -contains - - - -Semantics.LogogramSubstitution.payloadOnlyRoundTrip - -def -payloadOnlyRoundTrip - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.payloadOnlyRoundTrip - - -contains - - - -Semantics.LogogramSubstitution.sidecarRoundTrip - -def -sidecarRoundTrip - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.sidecarRoundTrip - - -contains - - - -Semantics.LogogramSubstitution.substitutionAccepted - -def -substitutionAccepted - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.substitutionAccepted - - -contains - - - -Semantics.LogogramSubstitution.substitutionHeld - -def -substitutionHeld - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.substitutionHeld - - -contains - - - -Semantics.LogogramSubstitution.substitutionQuarantined - -def -substitutionQuarantined - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.substitutionQuarantined - - -contains - - - -Semantics.LogogramSubstitution.decideSubstitution - -def -decideSubstitution - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.decideSubstitution - - -contains - - - -Semantics.LogogramSubstitution.literalAtomReceipt - -def -literalAtomReceipt - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.literalAtomReceipt - - -contains - - - -Semantics.LogogramSubstitution.knownCommandSidecarReceipt - -def -knownCommandSidecarReceipt - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.knownCommandSidecarReceipt - - -contains - - - -Semantics.LogogramSubstitution.hashedIdentifierReceipt - -def -hashedIdentifierReceipt - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.hashedIdentifierReceipt - - -contains - - - -Semantics.LogogramSubstitution.truncatedPayloadReceipt - -def -truncatedPayloadReceipt - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.truncatedPayloadReceipt - - -contains - - - -Semantics.LogogramSubstitution.semanticTearReceipt - -def -semanticTearReceipt - - - -Semantics.LogogramSubstitution->Semantics.LogogramSubstitution.semanticTearReceipt - - -contains - - - -Semantics.LonelyRunner - -module -LonelyRunner - - - -Semantics.LonelyRunner.circleDist_symm - -theorem -circleDist_symm - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.circleDist_symm - - -contains - - - -Semantics.LonelyRunner.circleDist_le_half - -theorem -circleDist_le_half - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.circleDist_le_half - - -contains - - - -Semantics.LonelyRunner.circleDist_zero_third - -theorem -circleDist_zero_third - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.circleDist_zero_third - - -contains - - - -Semantics.LonelyRunner.circleDist_zero_two_thirds - -theorem -circleDist_zero_two_thirds - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.circleDist_zero_two_thirds - - -contains - - - -Semantics.LonelyRunner.circleDist_zero_quarter - -theorem -circleDist_zero_quarter - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.circleDist_zero_quarter - - -contains - - - -Semantics.LonelyRunner.circleDist_zero_half - -theorem -circleDist_zero_half - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.circleDist_zero_half - - -contains - - - -Semantics.LonelyRunner.circleDist_zero_three_quarters - -theorem -circleDist_zero_three_quarters - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.circleDist_zero_three_quarters - - -contains - - - -Semantics.LonelyRunner.runnerPos_eq_product - -theorem -runnerPos_eq_product - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.runnerPos_eq_product - - -contains - - - -Semantics.LonelyRunner.runnerPos_one_third - -theorem -runnerPos_one_third - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.runnerPos_one_third - - -contains - - - -Semantics.LonelyRunner.runnerPos_two_thirds - -theorem -runnerPos_two_thirds - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.runnerPos_two_thirds - - -contains - - - -Semantics.LonelyRunner.runnerPos_one_quarter - -theorem -runnerPos_one_quarter - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.runnerPos_one_quarter - - -contains - - - -Semantics.LonelyRunner.runnerPos_two_quarter - -theorem -runnerPos_two_quarter - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.runnerPos_two_quarter - - -contains - - - -Semantics.LonelyRunner.runnerPos_three_quarter - -theorem -runnerPos_three_quarter - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.runnerPos_three_quarter - - -contains - - - -Semantics.LonelyRunner.lonely_k2_speeds_1_2 - -theorem -lonely_k2_speeds_1_2 - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.lonely_k2_speeds_1_2 - - -contains - - - -Semantics.LonelyRunner.lonely_k3_speeds_1_2_3 - -theorem -lonely_k3_speeds_1_2_3 - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.lonely_k3_speeds_1_2_3 - - -contains - - - -Semantics.LonelyRunner.scarSupport_eq_scarRegion - -theorem -scarSupport_eq_scarRegion - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.scarSupport_eq_scarRegion - - -contains - - - -Semantics.LonelyRunner.origin_uncovered_at_one_over_k_plus_one - -theorem -origin_uncovered_at_one_over_k_plus_one - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.origin_uncovered_at_one_over_k_plus_one - - -contains - - - -Semantics.LonelyRunner.lonely_k_speeds_1_to_k - -theorem -lonely_k_speeds_1_to_k - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.lonely_k_speeds_1_to_k - - -contains - - - -Semantics.LonelyRunner.scarRegion - -def -scarRegion - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.scarRegion - - -contains - - - -Semantics.LonelyRunner.lonelyTimeExists - -def -lonelyTimeExists - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.lonelyTimeExists - - -contains - - - -Semantics.LonelyRunner.cyclicPrev - -def -cyclicPrev - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.cyclicPrev - - -contains - - - -Semantics.LonelyRunner.isRisingEdge - -def -isRisingEdge - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.isRisingEdge - - -contains - - - -Semantics.LonelyRunner.beta0Circular - -def -beta0Circular - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.beta0Circular - - -contains - - - -Semantics.LonelyRunner.beta0 - -def -beta0 - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.beta0 - - -contains - - - -Semantics.LonelyRunner.lonelyRunnerReceipt - -def -lonelyRunnerReceipt - - - -Semantics.LonelyRunner->Semantics.LonelyRunner.lonelyRunnerReceipt - - -contains - - - -Semantics.MISignal - -module -MISignal - - - -Semantics.MISignal.epsilon - -def -epsilon - - - -Semantics.MISignal->Semantics.MISignal.epsilon - - -contains - - - -Semantics.MISignal.bitsPerByteMax - -def -bitsPerByteMax - - - -Semantics.MISignal->Semantics.MISignal.bitsPerByteMax - - -contains - - - -Semantics.MISignal.mutualInformationSignal - -def -mutualInformationSignal - - - -Semantics.MISignal->Semantics.MISignal.mutualInformationSignal - - -contains - - - -Semantics.MISignal.knnMIPrediction - -def -knnMIPrediction - - - -Semantics.MISignal->Semantics.MISignal.knnMIPrediction - - -contains - - - -Semantics.MISignal.surpriseMetric - -def -surpriseMetric - - - -Semantics.MISignal->Semantics.MISignal.surpriseMetric - - -contains - - - -Semantics.MISignal.structureYield - -def -structureYield - - - -Semantics.MISignal->Semantics.MISignal.structureYield - - -contains - - - -Semantics.MISignal.weightedFeatureDistanceSq - -def -weightedFeatureDistanceSq - - - -Semantics.MISignal->Semantics.MISignal.weightedFeatureDistanceSq - - -contains - - - -Semantics.MISignal.miInvariant - -def -miInvariant - - - -Semantics.MISignal->Semantics.MISignal.miInvariant - - -contains - - - -Semantics.MISignal.miCost - -def -miCost - - - -Semantics.MISignal->Semantics.MISignal.miCost - - -contains - - - -Semantics.MISignal.miSignalBind - -def -miSignalBind - - - -Semantics.MISignal->Semantics.MISignal.miSignalBind - - -contains - - - -Semantics.MMRFAMMUnification - -module -MMRFAMMUnification - - - -Semantics.MMRFAMMUnification->Semantics.FAMM - - -imports - - - -Semantics.MMRFAMMUnification.famm_merge_preserves_cost - -theorem -famm_merge_preserves_cost - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.famm_merge_preserves_cost - - -contains - - - -Semantics.MMRFAMMUnification.total_causal_cost_invariant_test - -theorem -total_causal_cost_invariant_test - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.total_causal_cost_invariant_test - - -contains - - - -Semantics.MMRFAMMUnification.merge_depth_monotone - -theorem -merge_depth_monotone - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.merge_depth_monotone - - -contains - - - -Semantics.MMRFAMMUnification.mmrLevelEq - -def -mmrLevelEq - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.mmrLevelEq - - -contains - - - -Semantics.MMRFAMMUnification.classifyDepth - -def -classifyDepth - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.classifyDepth - - -contains - - - -Semantics.MMRFAMMUnification.fammCellMerge - -def -fammCellMerge - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.fammCellMerge - - -contains - - - -Semantics.MMRFAMMUnification.totalCausalCost - -def -totalCausalCost - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.totalCausalCost - - -contains - - - -Semantics.MMRFAMMUnification.mmrLevelMerge - -def -mmrLevelMerge - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.mmrLevelMerge - - -contains - - - -Semantics.MMRFAMMUnification.totalSystemCost - -def -totalSystemCost - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.totalSystemCost - - -contains - - - -Semantics.MMRFAMMUnification.bankToLeaf - -def -bankToLeaf - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.bankToLeaf - - -contains - - - -Semantics.MMRFAMMUnification.mmrLevelInArray - -def -mmrLevelInArray - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.mmrLevelInArray - - -contains - - - -Semantics.MMRFAMMUnification.mmrThermalDefrag - -def -mmrThermalDefrag - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.mmrThermalDefrag - - -contains - - - -Semantics.MMRFAMMUnification.leafCellA - -def -leafCellA - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.leafCellA - - -contains - - - -Semantics.MMRFAMMUnification.leafCellB - -def -leafCellB - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.leafCellB - - -contains - - - -Semantics.MMRFAMMUnification.mergedCell - -def -mergedCell - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.mergedCell - - -contains - - - -Semantics.MMRFAMMUnification.leafLevel - -def -leafLevel - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.leafLevel - - -contains - - - -Semantics.MMRFAMMUnification.midLevel - -def -midLevel - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.midLevel - - -contains - - - -Semantics.MMRFAMMUnification.mergedLevel - -def -mergedLevel - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.mergedLevel - - -contains - - - -Semantics.MMRFAMMUnification.hotLevel - -def -hotLevel - - - -Semantics.MMRFAMMUnification->Semantics.MMRFAMMUnification.hotLevel - - -contains - - - -Semantics.MNLOGQuaternionBridge - -module -MNLOGQuaternionBridge - - - -Semantics.MNLOGQuaternionBridge->Semantics.FixedPoint - - -imports - - - -Semantics.MNLOGQuaternionBridge.quaternionConjugate - -def -quaternionConjugate - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.quaternionConjugate - - -contains - - - -Semantics.MNLOGQuaternionBridge.quaternionGradientConnection - -def -quaternionGradientConnection - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.quaternionGradientConnection - - -contains - - - -Semantics.MNLOGQuaternionBridge.normalizedSemanticDistance - -def -normalizedSemanticDistance - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.normalizedSemanticDistance - - -contains - - - -Semantics.MNLOGQuaternionBridge.extractScalarAlignment - -def -extractScalarAlignment - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.extractScalarAlignment - - -contains - - - -Semantics.MNLOGQuaternionBridge.extractDriftVector - -def -extractDriftVector - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.extractDriftVector - - -contains - - - -Semantics.MNLOGQuaternionBridge.computeRotationAngle - -def -computeRotationAngle - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.computeRotationAngle - - -contains - - - -Semantics.MNLOGQuaternionBridge.buildSemanticGradientConnection - -def -buildSemanticGradientConnection - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.buildSemanticGradientConnection - - -contains - - - -Semantics.MNLOGQuaternionBridge.checkGradientConnectionValidity - -def -checkGradientConnectionValidity - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.checkGradientConnectionValidity - - -contains - - - -Semantics.MNLOGQuaternionBridge.antiDriftDetection - -def -antiDriftDetection - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.antiDriftDetection - - -contains - - - -Semantics.MNLOGQuaternionBridge.noncommutativityCheck - -def -noncommutativityCheck - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.noncommutativityCheck - - -contains - - - -Semantics.MNLOGQuaternionBridge.isNonRhombus - -def -isNonRhombus - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.isNonRhombus - - -contains - - - -Semantics.MNLOGQuaternionBridge.quadrilateralToScalar0d - -def -quadrilateralToScalar0d - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.quadrilateralToScalar0d - - -contains - - - -Semantics.MNLOGQuaternionBridge.quadrilateralToNSpace - -def -quadrilateralToNSpace - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.quadrilateralToNSpace - - -contains - - - -Semantics.MNLOGQuaternionBridge.nspaceToQuaternionScalar - -def -nspaceToQuaternionScalar - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.nspaceToQuaternionScalar - - -contains - - - -Semantics.MNLOGQuaternionBridge.quadrilateralToQuaternionScalar - -def -quadrilateralToQuaternionScalar - - - -Semantics.MNLOGQuaternionBridge->Semantics.MNLOGQuaternionBridge.quadrilateralToQuaternionScalar - - -contains - - - -Semantics.MOFCO2Reduction - -module -MOFCO2Reduction - - - -Semantics.MOFCO2Reduction->Mathlib.Tactic - - -imports - - - -Semantics.MOFCO2Reduction.twoElectron_lt_sixElectron - -theorem -twoElectron_lt_sixElectron - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.twoElectron_lt_sixElectron - - -contains - - - -Semantics.MOFCO2Reduction.sixElectron_lt_eightElectron - -theorem -sixElectron_lt_eightElectron - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.sixElectron_lt_eightElectron - - -contains - - - -Semantics.MOFCO2Reduction.energyCost_same_potential_equal - -theorem -energyCost_same_potential_equal - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.energyCost_same_potential_equal - - -contains - - - -Semantics.MOFCO2Reduction.minPotential_CO_raw_eq_CH3OH - -theorem -minPotential_CO_raw_eq_CH3OH - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.minPotential_CO_raw_eq_CH3OH - - -contains - - - -Semantics.MOFCO2Reduction.sampleCOState_potential_sufficient - -theorem -sampleCOState_potential_sufficient - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.sampleCOState_potential_sufficient - - -contains - - - -Semantics.MOFCO2Reduction.sampleCH4State_potential_sufficient - -theorem -sampleCH4State_potential_sufficient - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.sampleCH4State_potential_sufficient - - -contains - - - -Semantics.MOFCO2Reduction.sampleCOState_bind_passes - -theorem -sampleCOState_bind_passes - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.sampleCOState_bind_passes - - -contains - - - -Semantics.MOFCO2Reduction.reactionElectronCount - -def -reactionElectronCount - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.reactionElectronCount - - -contains - - - -Semantics.MOFCO2Reduction.reactionMinPotential - -def -reactionMinPotential - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.reactionMinPotential - - -contains - - - -Semantics.MOFCO2Reduction.initCO2ReductionState - -def -initCO2ReductionState - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.initCO2ReductionState - - -contains - - - -Semantics.MOFCO2Reduction.potentialSufficient - -def -potentialSufficient - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.potentialSufficient - - -contains - - - -Semantics.MOFCO2Reduction.energyCostPerMole - -def -energyCostPerMole - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.energyCostPerMole - - -contains - - - -Semantics.MOFCO2Reduction.faradaicEfficiencyBind - -def -faradaicEfficiencyBind - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.faradaicEfficiencyBind - - -contains - - - -Semantics.MOFCO2Reduction.potentialBind - -def -potentialBind - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.potentialBind - - -contains - - - -Semantics.MOFCO2Reduction.co2ReductionBind - -def -co2ReductionBind - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.co2ReductionBind - - -contains - - - -Semantics.MOFCO2Reduction.sampleCOState - -def -sampleCOState - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.sampleCOState - - -contains - - - -Semantics.MOFCO2Reduction.sampleCH4State - -def -sampleCH4State - - - -Semantics.MOFCO2Reduction->Semantics.MOFCO2Reduction.sampleCH4State - - -contains - - - -Semantics.MagnetoPlasma - -module -MagnetoPlasma - - - -Semantics.MagnetoPlasma.quantizeNonnegative - -def -quantizeNonnegative - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.quantizeNonnegative - - -contains - - - -Semantics.MagnetoPlasma.defaultMagnetoCore - -def -defaultMagnetoCore - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.defaultMagnetoCore - - -contains - - - -Semantics.MagnetoPlasma.defaultMagnetoSpectralHook - -def -defaultMagnetoSpectralHook - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.defaultMagnetoSpectralHook - - -contains - - - -Semantics.MagnetoPlasma.coreStrength - -def -coreStrength - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.coreStrength - - -contains - - - -Semantics.MagnetoPlasma.sampleSpectrallyCompatible - -def -sampleSpectrallyCompatible - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.sampleSpectrallyCompatible - - -contains - - - -Semantics.MagnetoPlasma.spectralAffinityOf - -def -spectralAffinityOf - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.spectralAffinityOf - - -contains - - - -Semantics.MagnetoPlasma.confinementFromCore - -def -confinementFromCore - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.confinementFromCore - - -contains - - - -Semantics.MagnetoPlasma.reconnectionFromSignature - -def -reconnectionFromSignature - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.reconnectionFromSignature - - -contains - - - -Semantics.MagnetoPlasma.classifyMagnetoPlasmaRegime - -def -classifyMagnetoPlasmaRegime - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.classifyMagnetoPlasmaRegime - - -contains - - - -Semantics.MagnetoPlasma.inferMagnetoPlasmaSignature - -def -inferMagnetoPlasmaSignature - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.inferMagnetoPlasmaSignature - - -contains - - - -Semantics.MagnetoPlasma.regimeSupportsLink - -def -regimeSupportsLink - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.regimeSupportsLink - - -contains - - - -Semantics.MagnetoPlasma.regionCompatible - -def -regionCompatible - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.regionCompatible - - -contains - - - -Semantics.MagnetoPlasma.bodyCouplingStrength - -def -bodyCouplingStrength - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.bodyCouplingStrength - - -contains - - - -Semantics.MagnetoPlasma.applyMagnetoBias - -def -applyMagnetoBias - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.applyMagnetoBias - - -contains - - - -Semantics.MagnetoPlasma.interactBodies - -def -interactBodies - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.interactBodies - - -contains - - - -Semantics.MagnetoPlasma.defaultMagnetoLink - -def -defaultMagnetoLink - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.defaultMagnetoLink - - -contains - - - -Semantics.MagnetoPlasma.defaultHyperFlowSignature - -def -defaultHyperFlowSignature - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.defaultHyperFlowSignature - - -contains - - - -Semantics.MagnetoPlasma.defaultMagnetoBody2D - -def -defaultMagnetoBody2D - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.defaultMagnetoBody2D - - -contains - - - -Semantics.MagnetoPlasma.magnetoCoreBody2D - -def -magnetoCoreBody2D - - - -Semantics.MagnetoPlasma->Semantics.MagnetoPlasma.magnetoCoreBody2D - - -contains - - - -Semantics.MagnetoPlasma->Semantics.PhysicsScalarBridge - - -imports - - - -Semantics.ManifoldBoundaryAtlas - -module -ManifoldBoundaryAtlas - - - -Semantics.ManifoldBoundaryAtlas.smallBoundaryReplay - -theorem -smallBoundaryReplay - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.smallBoundaryReplay - - -contains - - - -Semantics.ManifoldBoundaryAtlas.canonicalBoundaryAtlasPromotable - -theorem -canonicalBoundaryAtlasPromotable - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.canonicalBoundaryAtlasPromotable - - -contains - - - -Semantics.ManifoldBoundaryAtlas.tinyBoundaryAtlasNotPromotable - -theorem -tinyBoundaryAtlasNotPromotable - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.tinyBoundaryAtlasNotPromotable - - -contains - - - -Semantics.ManifoldBoundaryAtlas.badBoundaryDomainAtlasNotPromotable - -theorem -badBoundaryDomainAtlasNotPromotable - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.badBoundaryDomainAtlasNotPromotable - - -contains - - - -Semantics.ManifoldBoundaryAtlas.missingResidualBoundaryAtlasNotPromotable - -theorem -missingResidualBoundaryAtlasNotPromotabl - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.missingResidualBoundaryAtlasNotPromotable - - -contains - - - -Semantics.ManifoldBoundaryAtlas.promotedBoundaryAtlasStructurallyValid - -theorem -promotedBoundaryAtlasStructurallyValid - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.promotedBoundaryAtlasStructurallyValid - - -contains - - - -Semantics.ManifoldBoundaryAtlas.promotedBoundaryAtlasSatisfiesByteLaw - -theorem -promotedBoundaryAtlasSatisfiesByteLaw - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.promotedBoundaryAtlasSatisfiesByteLaw - - -contains - - - -Semantics.ManifoldBoundaryAtlas.promotedBoundaryAtlasSetsRrcTearBoundary - -theorem -promotedBoundaryAtlasSetsRrcTearBoundary - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.promotedBoundaryAtlasSetsRrcTearBoundary - - -contains - - - -Semantics.ManifoldBoundaryAtlas.boundaryAtlasAloneDoesNotProject - -theorem -boundaryAtlasAloneDoesNotProject - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.boundaryAtlasAloneDoesNotProject - - -contains - - - -Semantics.ManifoldBoundaryAtlas.expectedHexBase - -def -expectedHexBase - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.expectedHexBase - - -contains - - - -Semantics.ManifoldBoundaryAtlas.boundaryAtlasStructurallyValid - -def -boundaryAtlasStructurallyValid - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.boundaryAtlasStructurallyValid - - -contains - - - -Semantics.ManifoldBoundaryAtlas.boundaryRawValueAt - -def -boundaryRawValueAt - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.boundaryRawValueAt - - -contains - - - -Semantics.ManifoldBoundaryAtlas.boundaryCandidateAt - -def -boundaryCandidateAt - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.boundaryCandidateAt - - -contains - - - -Semantics.ManifoldBoundaryAtlas.replayBoundaryAtlas - -def -replayBoundaryAtlas - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.replayBoundaryAtlas - - -contains - - - -Semantics.ManifoldBoundaryAtlas.explicitBoundaryTableBytes - -def -explicitBoundaryTableBytes - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.explicitBoundaryTableBytes - - -contains - - - -Semantics.ManifoldBoundaryAtlas.boundaryAtlasEncodedBytes - -def -boundaryAtlasEncodedBytes - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.boundaryAtlasEncodedBytes - - -contains - - - -Semantics.ManifoldBoundaryAtlas.boundaryAtlasByteLawHolds - -def -boundaryAtlasByteLawHolds - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.boundaryAtlasByteLawHolds - - -contains - - - -Semantics.ManifoldBoundaryAtlas.boundaryAtlasPromotable - -def -boundaryAtlasPromotable - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.boundaryAtlasPromotable - - -contains - - - -Semantics.ManifoldBoundaryAtlas.rrcBoundaryReceiptFromAtlas - -def -rrcBoundaryReceiptFromAtlas - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.rrcBoundaryReceiptFromAtlas - - -contains - - - -Semantics.ManifoldBoundaryAtlas.smallBoundaryAtlas - -def -smallBoundaryAtlas - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.smallBoundaryAtlas - - -contains - - - -Semantics.ManifoldBoundaryAtlas.canonicalBoundaryAtlas - -def -canonicalBoundaryAtlas - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.canonicalBoundaryAtlas - - -contains - - - -Semantics.ManifoldBoundaryAtlas.tinyBoundaryAtlas - -def -tinyBoundaryAtlas - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.tinyBoundaryAtlas - - -contains - - - -Semantics.ManifoldBoundaryAtlas.badBoundaryDomainAtlas - -def -badBoundaryDomainAtlas - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.badBoundaryDomainAtlas - - -contains - - - -Semantics.ManifoldBoundaryAtlas.missingResidualBoundaryAtlas - -def -missingResidualBoundaryAtlas - - - -Semantics.ManifoldBoundaryAtlas->Semantics.ManifoldBoundaryAtlas.missingResidualBoundaryAtlas - - -contains - - - -Semantics.RRCLogogramProjection - -module -RRCLogogramProjection - - - -Semantics.ManifoldBoundaryAtlas->Semantics.RRCLogogramProjection - - -imports - - - -Semantics.ManifoldFlow - -module -ManifoldFlow - - - -Semantics.ManifoldFlow.lockingPotential - -def -lockingPotential - - - -Semantics.ManifoldFlow->Semantics.ManifoldFlow.lockingPotential - - -contains - - - -Semantics.ManifoldFlow.interlockingEnergy - -def -interlockingEnergy - - - -Semantics.ManifoldFlow->Semantics.ManifoldFlow.interlockingEnergy - - -contains - - - -Semantics.ManifoldFlow.torsionalStress - -def -torsionalStress - - - -Semantics.ManifoldFlow->Semantics.ManifoldFlow.torsionalStress - - -contains - - - -Semantics.ManifoldFlow.stableDt - -def -stableDt - - - -Semantics.ManifoldFlow->Semantics.ManifoldFlow.stableDt - - -contains - - - -Semantics.ManifoldFlow.cflSatisfied - -def -cflSatisfied - - - -Semantics.ManifoldFlow->Semantics.ManifoldFlow.cflSatisfied - - -contains - - - -Semantics.ManifoldFlow.flowPhi - -def -flowPhi - - - -Semantics.ManifoldFlow->Semantics.ManifoldFlow.flowPhi - - -contains - - - -Semantics.ManifoldFlow.flowEmbedding - -def -flowEmbedding - - - -Semantics.ManifoldFlow->Semantics.ManifoldFlow.flowEmbedding - - -contains - - - -Semantics.ManifoldNetworking - -module -ManifoldNetworking - - - -Semantics.ManifoldNetworking->Semantics.Bind - - -imports - - - -Semantics.ManifoldNetworking.isNormalNetworkLimit_fails_nonZeroCurvature - -theorem -isNormalNetworkLimit_fails_nonZeroCurvat - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.isNormalNetworkLimit_fails_nonZeroCurvature - - -contains - - - -Semantics.ManifoldNetworking.isNormalNetworkLimit_fails_nonZeroTorsion - -theorem -isNormalNetworkLimit_fails_nonZeroTorsio - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.isNormalNetworkLimit_fails_nonZeroTorsion - - -contains - - - -Semantics.ManifoldNetworking.isNormalNetworkLimit_fails_notSinglePath - -theorem -isNormalNetworkLimit_fails_notSinglePath - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.isNormalNetworkLimit_fails_notSinglePath - - -contains - - - -Semantics.ManifoldNetworking.isNormalNetworkLimit_fails_notSequential - -theorem -isNormalNetworkLimit_fails_notSequential - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.isNormalNetworkLimit_fails_notSequential - - -contains - - - -Semantics.ManifoldNetworking.manifoldPacket_preservesSize - -theorem -manifoldPacket_preservesSize - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.manifoldPacket_preservesSize - - -contains - - - -Semantics.ManifoldNetworking.manifoldQueue_preservesCount_enqueue - -theorem -manifoldQueue_preservesCount_enqueue - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.manifoldQueue_preservesCount_enqueue - - -contains - - - -Semantics.ManifoldNetworking.manifoldQueue_preservesCount_dequeue - -theorem -manifoldQueue_preservesCount_dequeue - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.manifoldQueue_preservesCount_dequeue - - -contains - - - -Semantics.ManifoldNetworking.normalNetworkLimit - -theorem -normalNetworkLimit - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.normalNetworkLimit - - -contains - - - -Semantics.ManifoldNetworking.enqueuePacket - -def -enqueuePacket - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.enqueuePacket - - -contains - - - -Semantics.ManifoldNetworking.dequeuePacket - -def -dequeuePacket - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.dequeuePacket - - -contains - - - -Semantics.ManifoldNetworking.verifyLittleLaw - -def -verifyLittleLaw - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.verifyLittleLaw - - -contains - - - -Semantics.ManifoldNetworking.consumeTokens - -def -consumeTokens - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.consumeTokens - - -contains - - - -Semantics.ManifoldNetworking.aimdUpdate - -def -aimdUpdate - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.aimdUpdate - - -contains - - - -Semantics.ManifoldNetworking.cubicComputeK - -def -cubicComputeK - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.cubicComputeK - - -contains - - - -Semantics.ManifoldNetworking.cubicUpdate - -def -cubicUpdate - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.cubicUpdate - - -contains - - - -Semantics.ManifoldNetworking.selectOptimalPath - -def -selectOptimalPath - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.selectOptimalPath - - -contains - - - -Semantics.ManifoldNetworking.manifoldInputInvariant - -def -manifoldInputInvariant - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.manifoldInputInvariant - - -contains - - - -Semantics.ManifoldNetworking.manifoldOutputInvariant - -def -manifoldOutputInvariant - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.manifoldOutputInvariant - - -contains - - - -Semantics.ManifoldNetworking.manifoldOperationCost - -def -manifoldOperationCost - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.manifoldOperationCost - - -contains - - - -Semantics.ManifoldNetworking.performManifoldOperation - -def -performManifoldOperation - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.performManifoldOperation - - -contains - - - -Semantics.ManifoldNetworking.manifoldBind - -def -manifoldBind - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.manifoldBind - - -contains - - - -Semantics.ManifoldNetworking.isNormalNetworkLimit - -def -isNormalNetworkLimit - - - -Semantics.ManifoldNetworking->Semantics.ManifoldNetworking.isNormalNetworkLimit - - -contains - - - -Semantics.ManifoldPotential - -module -ManifoldPotential - - - -Semantics.ManifoldPotential.addPulls - -def -addPulls - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.addPulls - - -contains - - - -Semantics.ManifoldPotential.explicitAliasDetected - -def -explicitAliasDetected - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.explicitAliasDetected - - -contains - - - -Semantics.ManifoldPotential.threadAliasDetected - -def -threadAliasDetected - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.threadAliasDetected - - -contains - - - -Semantics.ManifoldPotential.scaffoldingRoleOf - -def -scaffoldingRoleOf - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.scaffoldingRoleOf - - -contains - - - -Semantics.ManifoldPotential.classifyPotentialMorphology - -def -classifyPotentialMorphology - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.classifyPotentialMorphology - - -contains - - - -Semantics.ManifoldPotential.boundaryModeOf - -def -boundaryModeOf - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.boundaryModeOf - - -contains - - - -Semantics.ManifoldPotential.threadCountOf - -def -threadCountOf - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.threadCountOf - - -contains - - - -Semantics.ManifoldPotential.potentialSignatureOf - -def -potentialSignatureOf - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.potentialSignatureOf - - -contains - - - -Semantics.ManifoldPotential.classifyPotentialRegime - -def -classifyPotentialRegime - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.classifyPotentialRegime - - -contains - - - -Semantics.ManifoldPotential.classifyPotentialStability - -def -classifyPotentialStability - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.classifyPotentialStability - - -contains - - - -Semantics.ManifoldPotential.potentialCompatibleWithBoundary - -def -potentialCompatibleWithBoundary - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.potentialCompatibleWithBoundary - - -contains - - - -Semantics.ManifoldPotential.mergeBasins - -def -mergeBasins - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.mergeBasins - - -contains - - - -Semantics.ManifoldPotential.mergeGradients - -def -mergeGradients - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.mergeGradients - - -contains - - - -Semantics.ManifoldPotential.mergePotentials - -def -mergePotentials - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.mergePotentials - - -contains - - - -Semantics.ManifoldPotential.processPotentialTransition - -def -processPotentialTransition - - - -Semantics.ManifoldPotential->Semantics.ManifoldPotential.processPotentialTransition - - -contains - - - -Semantics.ManifoldPotential->Semantics.PhysicsScalarBridge - - -imports - - - -Semantics.ManifoldStructures - -module -ManifoldStructures - - - -Semantics.ManifoldStructures->Semantics.PhysicsScalarBridge - - -imports - - - -Semantics.ManifoldTopology - -module -ManifoldTopology - - - -Semantics.ManifoldTopology.reshape_preserves_integrity - -theorem -reshape_preserves_integrity - - - -Semantics.ManifoldTopology->Semantics.ManifoldTopology.reshape_preserves_integrity - - -contains - - - -Semantics.ManifoldTopology.DimensionRange - -def -DimensionRange - - - -Semantics.ManifoldTopology->Semantics.ManifoldTopology.DimensionRange - - -contains - - - -Semantics.ManifoldTopology.mkManifoldPoint - -def -mkManifoldPoint - - - -Semantics.ManifoldTopology->Semantics.ManifoldTopology.mkManifoldPoint - - -contains - - - -Semantics.ManifoldTopology.isAtBoundary - -def -isAtBoundary - - - -Semantics.ManifoldTopology->Semantics.ManifoldTopology.isAtBoundary - - -contains - - - -Semantics.ManifoldTopology.mkHole - -def -mkHole - - - -Semantics.ManifoldTopology->Semantics.ManifoldTopology.mkHole - - -contains - - - -Semantics.ManifoldTopology.observerCapacity - -def -observerCapacity - - - -Semantics.ManifoldTopology->Semantics.ManifoldTopology.observerCapacity - - -contains - - - -Semantics.ManifoldTopology.projectToHumanPerception - -def -projectToHumanPerception - - - -Semantics.ManifoldTopology->Semantics.ManifoldTopology.projectToHumanPerception - - -contains - - - -Semantics.ManifoldTopology.isLawfulReshape - -def -isLawfulReshape - - - -Semantics.ManifoldTopology->Semantics.ManifoldTopology.isLawfulReshape - - -contains - - - -Semantics.ManyWorldsAddress - -module -ManyWorldsAddress - - - -Semantics.ManyWorldsAddress.spawnProducesN2Children - -theorem -spawnProducesN2Children - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.spawnProducesN2Children - - -contains - - - -Semantics.ManyWorldsAddress.worldCountDepthZero - -theorem -worldCountDepthZero - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.worldCountDepthZero - - -contains - - - -Semantics.ManyWorldsAddress.branchingFactorPos - -theorem -branchingFactorPos - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.branchingFactorPos - - -contains - - - -Semantics.ManyWorldsAddress.shoreTransitionPreservesIfNonDegenerate - -theorem -shoreTransitionPreservesIfNonDegenerate - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.shoreTransitionPreservesIfNonDegenerate - - -contains - - - -Semantics.ManyWorldsAddress.shoreTransitionAdvancesAtShore - -theorem -shoreTransitionAdvancesAtShore - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.shoreTransitionAdvancesAtShore - - -contains - - - -Semantics.ManyWorldsAddress.nanIsTerminal - -theorem -nanIsTerminal - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.nanIsTerminal - - -contains - - - -Semantics.ManyWorldsAddress.restAddressDepthZero - -theorem -restAddressDepthZero - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.restAddressDepthZero - - -contains - - - -Semantics.ManyWorldsAddress.spawnedAddressDepth - -theorem -spawnedAddressDepth - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.spawnedAddressDepth - - -contains - - - -Semantics.ManyWorldsAddress.validityLeq - -def -validityLeq - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.validityLeq - - -contains - - - -Semantics.ManyWorldsAddress.rootFrame - -def -rootFrame - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.rootFrame - - -contains - - - -Semantics.ManyWorldsAddress.restAddress - -def -restAddress - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.restAddress - - -contains - - - -Semantics.ManyWorldsAddress.spawnedAddress - -def -spawnedAddress - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.spawnedAddress - - -contains - - - -Semantics.ManyWorldsAddress.spawnBranchingFactor - -def -spawnBranchingFactor - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.spawnBranchingFactor - - -contains - - - -Semantics.ManyWorldsAddress.worldCountAtDepth - -def -worldCountAtDepth - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.worldCountAtDepth - - -contains - - - -Semantics.ManyWorldsAddress.totalAddressableWorlds - -def -totalAddressableWorlds - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.totalAddressableWorlds - - -contains - - - -Semantics.ManyWorldsAddress.childLocalCoord - -def -childLocalCoord - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.childLocalCoord - - -contains - - - -Semantics.ManyWorldsAddress.spawnWorlds - -def -spawnWorlds - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.spawnWorlds - - -contains - - - -Semantics.ManyWorldsAddress.validityStep - -def -validityStep - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.validityStep - - -contains - - - -Semantics.ManyWorldsAddress.shoreTransition - -def -shoreTransition - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.shoreTransition - - -contains - - - -Semantics.ManyWorldsAddress.isComputable - -def -isComputable - - - -Semantics.ManyWorldsAddress->Semantics.ManyWorldsAddress.isComputable - - -contains - - - -Semantics.MassNumberAdapter - -module -MassNumberAdapter - - - -Semantics.MassNumberAdapter.shannonEntropyNonNegative - -theorem -shannonEntropyNonNegative - - - -Semantics.MassNumberAdapter->Semantics.MassNumberAdapter.shannonEntropyNonNegative - - -contains - - - -Semantics.MassNumberAdapter.kolmogorovComplexityBounded - -theorem -kolmogorovComplexityBounded - - - -Semantics.MassNumberAdapter->Semantics.MassNumberAdapter.kolmogorovComplexityBounded - - -contains - - - -Semantics.MassNumberAdapter.informationDensityNonNegative - -theorem -informationDensityNonNegative - - - -Semantics.MassNumberAdapter->Semantics.MassNumberAdapter.informationDensityNonNegative - - -contains - - - -Semantics.MassNumberAdapter.compressibilityBounded - -theorem -compressibilityBounded - - - -Semantics.MassNumberAdapter->Semantics.MassNumberAdapter.compressibilityBounded - - -contains - - - -Semantics.MassNumberAdapter.classificationExhaustive - -theorem -classificationExhaustive - - - -Semantics.MassNumberAdapter->Semantics.MassNumberAdapter.classificationExhaustive - - -contains - - - -Semantics.MassNumberAdapter.computeShannonEntropy - -def -computeShannonEntropy - - - -Semantics.MassNumberAdapter->Semantics.MassNumberAdapter.computeShannonEntropy - - -contains - - - -Semantics.MassNumberAdapter.approximateKolmogorovComplexity - -def -approximateKolmogorovComplexity - - - -Semantics.MassNumberAdapter->Semantics.MassNumberAdapter.approximateKolmogorovComplexity - - -contains - - - -Semantics.MassNumberAdapter.computeInformationDensity - -def -computeInformationDensity - - - -Semantics.MassNumberAdapter->Semantics.MassNumberAdapter.computeInformationDensity - - -contains - - - -Semantics.MassNumberAdapter.computeCompressibility - -def -computeCompressibility - - - -Semantics.MassNumberAdapter->Semantics.MassNumberAdapter.computeCompressibility - - -contains - - - -Semantics.MassNumberAdapter.calculateInformationMass - -def -calculateInformationMass - - - -Semantics.MassNumberAdapter->Semantics.MassNumberAdapter.calculateInformationMass - - -contains - - - -Semantics.MassNumberAdapter.classifyMassNumber - -def -classifyMassNumber - - - -Semantics.MassNumberAdapter->Semantics.MassNumberAdapter.classifyMassNumber - - -contains - - - -Semantics.MassNumberLinter - -module -MassNumberLinter - - - -Semantics.MassNumberLinter.defaultConfig - -def -defaultConfig - - - -Semantics.MassNumberLinter->Semantics.MassNumberLinter.defaultConfig - - -contains - - - -Semantics.MassNumberLinter.isMassNumberName - -def -isMassNumberName - - - -Semantics.MassNumberLinter->Semantics.MassNumberLinter.isMassNumberName - - -contains - - - -Semantics.MassNumberLinter.matchesNamespaceFilter - -def -matchesNamespaceFilter - - - -Semantics.MassNumberLinter->Semantics.MassNumberLinter.matchesNamespaceFilter - - -contains - - - -Semantics.MassNumberLinter.hasMassNumberValuation - -def -hasMassNumberValuation - - - -Semantics.MassNumberLinter->Semantics.MassNumberLinter.hasMassNumberValuation - - -contains - - - -Semantics.MassNumberLinter.checkValuationComponents - -def -checkValuationComponents - - - -Semantics.MassNumberLinter->Semantics.MassNumberLinter.checkValuationComponents - - -contains - - - -Semantics.MassNumberLinter.createDecagonZetaValuation - -def -createDecagonZetaValuation - - - -Semantics.MassNumberLinter->Semantics.MassNumberLinter.createDecagonZetaValuation - - -contains - - - -Semantics.MassNumberLinter.decagonInvariants - -def -decagonInvariants - - - -Semantics.MassNumberLinter->Semantics.MassNumberLinter.decagonInvariants - - -contains - - - -Semantics.MassNumberLinter.isTheorem - -def -isTheorem - - - -Semantics.MassNumberLinter->Semantics.MassNumberLinter.isTheorem - - -contains - - - -Semantics.MassNumberLinter.runLinter - -def -runLinter - - - -Semantics.MassNumberLinter->Semantics.MassNumberLinter.runLinter - - -contains - - - -Semantics.MassNumberLinter.printResults - -def -printResults - - - -Semantics.MassNumberLinter->Semantics.MassNumberLinter.printResults - - -contains - - - -Semantics.MassNumberLinter.runLinterAndPrint - -def -runLinterAndPrint - - - -Semantics.MassNumberLinter->Semantics.MassNumberLinter.runLinterAndPrint - - -contains - - - -Semantics.MassNumberLinter.myLinter - -def -myLinter - - - -Semantics.MassNumberLinter->Semantics.MassNumberLinter.myLinter - - -contains - - - -Semantics.MassNumberMetricClosure - -module -MassNumberMetricClosure - - - -Semantics.MassNumberMetricClosure.Score - -theorem -Score - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.Score - - -contains - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.Score - - -contains - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.Score - - -contains - - - -Semantics.MassNumberMetricClosure.is_path_reverse - -theorem -is_path_reverse - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.is_path_reverse - - -contains - - - -Semantics.MassNumberMetricClosure.pathCost_nil - -theorem -pathCost_nil - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.pathCost_nil - - -contains - - - -Semantics.MassNumberMetricClosure.pathCost_reverse - -theorem -pathCost_reverse - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.pathCost_reverse - - -contains - - - -Semantics.MassNumberMetricClosure.pathCost_append - -theorem -pathCost_append - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.pathCost_append - - -contains - - - -Semantics.MassNumberMetricClosure.connected_symm - -theorem -connected_symm - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.connected_symm - - -contains - - - -Semantics.MassNumberMetricClosure.edgeAdmissible - -def -edgeAdmissible - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.edgeAdmissible - - -contains - - - -Semantics.MassNumberMetricClosure.AdmissibilityEdge - -def -AdmissibilityEdge - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.AdmissibilityEdge - - -contains - - - -Semantics.MassNumberMetricClosure.reversePath - -def -reversePath - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.reversePath - - -contains - - - -Semantics.MassNumberMetricClosure.pathCost - -def -pathCost - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.pathCost - - -contains - - - -Semantics.MassNumberMetricClosure.connected - -def -connected - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.connected - - -contains - - - -Semantics.MassNumberMetricClosure.shortestPathDist - -def -shortestPathDist - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.shortestPathDist - - -contains - - - -Semantics.MassNumberMetricClosure.mkExampleGraph - -def -mkExampleGraph - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.mkExampleGraph - - -contains - - - -Semantics.MassNumberMetricClosure.disconnectUnderverseReceipt - -def -disconnectUnderverseReceipt - - - -Semantics.MassNumberMetricClosure->Semantics.MassNumberMetricClosure.disconnectUnderverseReceipt - - -contains - - - -Semantics.MassNumberPreSlots - -module -MassNumberPreSlots - - - -Semantics.MassNumberPreSlots.makeContract - -def -makeContract - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.makeContract - - -contains - - - -Semantics.MassNumberPreSlots.slot_NumberTheory - -def -slot_NumberTheory - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_NumberTheory - - -contains - - - -Semantics.MassNumberPreSlots.slot_CombinatorialAnalysis - -def -slot_CombinatorialAnalysis - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_CombinatorialAnalysis - - -contains - - - -Semantics.MassNumberPreSlots.slot_Algebra - -def -slot_Algebra - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_Algebra - - -contains - - - -Semantics.MassNumberPreSlots.slot_Geometry - -def -slot_Geometry - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_Geometry - - -contains - - - -Semantics.MassNumberPreSlots.slot_Topology - -def -slot_Topology - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_Topology - - -contains - - - -Semantics.MassNumberPreSlots.slot_DynamicalSystems - -def -slot_DynamicalSystems - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_DynamicalSystems - - -contains - - - -Semantics.MassNumberPreSlots.slot_Analysis - -def -slot_Analysis - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_Analysis - - -contains - - - -Semantics.MassNumberPreSlots.slot_LogicAndFoundations - -def -slot_LogicAndFoundations - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_LogicAndFoundations - - -contains - - - -Semantics.MassNumberPreSlots.slot_ClassicalMechanics - -def -slot_ClassicalMechanics - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_ClassicalMechanics - - -contains - - - -Semantics.MassNumberPreSlots.slot_FluidDynamics - -def -slot_FluidDynamics - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_FluidDynamics - - -contains - - - -Semantics.MassNumberPreSlots.slot_Thermodynamics - -def -slot_Thermodynamics - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_Thermodynamics - - -contains - - - -Semantics.MassNumberPreSlots.slot_QuantumMechanics - -def -slot_QuantumMechanics - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_QuantumMechanics - - -contains - - - -Semantics.MassNumberPreSlots.slot_Electromagnetism - -def -slot_Electromagnetism - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_Electromagnetism - - -contains - - - -Semantics.MassNumberPreSlots.slot_GeneralRelativity - -def -slot_GeneralRelativity - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_GeneralRelativity - - -contains - - - -Semantics.MassNumberPreSlots.slot_QuantumFieldTheory - -def -slot_QuantumFieldTheory - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_QuantumFieldTheory - - -contains - - - -Semantics.MassNumberPreSlots.slot_StatisticalMechanics - -def -slot_StatisticalMechanics - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_StatisticalMechanics - - -contains - - - -Semantics.MassNumberPreSlots.slot_PlasmaPhysics - -def -slot_PlasmaPhysics - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_PlasmaPhysics - - -contains - - - -Semantics.MassNumberPreSlots.slot_PhononPhysics - -def -slot_PhononPhysics - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_PhononPhysics - - -contains - - - -Semantics.MassNumberPreSlots.slot_MolecularBiology - -def -slot_MolecularBiology - - - -Semantics.MassNumberPreSlots->Semantics.MassNumberPreSlots.slot_MolecularBiology - - -contains - - - -Semantics.MasterEquation - -module -MasterEquation - - - -Semantics.MasterEquation.foldbackLockStep - -def -foldbackLockStep - - - -Semantics.MasterEquation->Semantics.MasterEquation.foldbackLockStep - - -contains - - - -Semantics.MasterEquation.expand - -def -expand - - - -Semantics.MasterEquation->Semantics.MasterEquation.expand - - -contains - - - -Semantics.MasterEquation.score - -def -score - - - -Semantics.MasterEquation->Semantics.MasterEquation.score - - -contains - - - -Semantics.MasterEquation.stabilize - -def -stabilize - - - -Semantics.MasterEquation->Semantics.MasterEquation.stabilize - - -contains - - - -Semantics.MasterEquation.prune - -def -prune - - - -Semantics.MasterEquation->Semantics.MasterEquation.prune - - -contains - - - -Semantics.MasterEquation.gossip - -def -gossip - - - -Semantics.MasterEquation->Semantics.MasterEquation.gossip - - -contains - - - -Semantics.MasterEquation.mlgru - -def -mlgru - - - -Semantics.MasterEquation->Semantics.MasterEquation.mlgru - - -contains - - - -Semantics.MasterEquation.primaryMechanicalCycle - -def -primaryMechanicalCycle - - - -Semantics.MasterEquation->Semantics.MasterEquation.primaryMechanicalCycle - - -contains - - - -Semantics.MasterEquation.masterEquation - -def -masterEquation - - - -Semantics.MasterEquation->Semantics.MasterEquation.masterEquation - - -contains - - - -Semantics.MasterEquation.CMYK - -def -CMYK - - - -Semantics.MasterEquation->Semantics.MasterEquation.CMYK - - -contains - - - -Semantics.McpSurfaceManifest->Semantics.JsonLSurfaceConnector - - -imports - - - -Semantics.McpSurfaceManifest.toolsIncludeConnectorHealth - -theorem -toolsIncludeConnectorHealth - - - -Semantics.McpSurfaceManifest->Semantics.McpSurfaceManifest.toolsIncludeConnectorHealth - - -contains - - - -Semantics.McpSurfaceManifest.jsonlLineSchema - -def -jsonlLineSchema - - - -Semantics.McpSurfaceManifest->Semantics.McpSurfaceManifest.jsonlLineSchema - - -contains - - - -Semantics.McpSurfaceManifest.connectorHealthSchema - -def -connectorHealthSchema - - - -Semantics.McpSurfaceManifest->Semantics.McpSurfaceManifest.connectorHealthSchema - - -contains - - - -Semantics.McpSurfaceManifest.toolSpec - -def -toolSpec - - - -Semantics.McpSurfaceManifest->Semantics.McpSurfaceManifest.toolSpec - - -contains - - - -Semantics.McpSurfaceManifest.publishedTools - -def -publishedTools - - - -Semantics.McpSurfaceManifest->Semantics.McpSurfaceManifest.publishedTools - - -contains - - - -Semantics.McpSurfaceManifest.toJsonToolsList - -def -toJsonToolsList - - - -Semantics.McpSurfaceManifest->Semantics.McpSurfaceManifest.toJsonToolsList - - -contains - - - -Semantics.McpSurfaceManifest.instanceToolsJson - -def -instanceToolsJson - - - -Semantics.McpSurfaceManifest->Semantics.McpSurfaceManifest.instanceToolsJson - - -contains - - - -Semantics.MechanicalLogic - -module -MechanicalLogic - - - -Semantics.MechanicalLogic.mechanicalLock - -def -mechanicalLock - - - -Semantics.MechanicalLogic->Semantics.MechanicalLogic.mechanicalLock - - -contains - - - -Semantics.MechanicalLogic.mechanicalBalance - -def -mechanicalBalance - - - -Semantics.MechanicalLogic->Semantics.MechanicalLogic.mechanicalBalance - - -contains - - - -Semantics.MechanicalLogic.landauerLimit - -def -landauerLimit - - - -Semantics.MechanicalLogic->Semantics.MechanicalLogic.landauerLimit - - -contains - - - -Semantics.MechanicalLogic.merkleDissipation - -def -merkleDissipation - - - -Semantics.MechanicalLogic->Semantics.MechanicalLogic.merkleDissipation - - -contains - - - -Semantics.MechanicalLogic.isUltraEfficient - -def -isUltraEfficient - - - -Semantics.MechanicalLogic->Semantics.MechanicalLogic.isUltraEfficient - - -contains - - - -Semantics.MechanicalLogic.mechanicalInvariant - -def -mechanicalInvariant - - - -Semantics.MechanicalLogic->Semantics.MechanicalLogic.mechanicalInvariant - - -contains - - - -Semantics.MechanicalLogic.neutral - -def -neutral - - - -Semantics.MechanicalLogic->Semantics.MechanicalLogic.neutral - - -contains - - - -Semantics.MechanicalLogic.displaced - -def -displaced - - - -Semantics.MechanicalLogic->Semantics.MechanicalLogic.displaced - - -contains - - - -Semantics.MengerSpongeFractalAddressing - -module -MengerSpongeFractalAddressing - - - -Semantics.MengerSpongeFractalAddressing->Semantics.FixedPoint - - -imports - - - -Semantics.MengerSpongeFractalAddressing.mengerHashDeterministic - -theorem -mengerHashDeterministic - - - -Semantics.MengerSpongeFractalAddressing->Semantics.MengerSpongeFractalAddressing.mengerHashDeterministic - - -contains - - - -Semantics.MengerSpongeFractalAddressing.mengerHash - -def -mengerHash - - - -Semantics.MengerSpongeFractalAddressing->Semantics.MengerSpongeFractalAddressing.mengerHash - - -contains - - - -Semantics.MengerSpongeFractalAddressing.fractalOffset - -def -fractalOffset - - - -Semantics.MengerSpongeFractalAddressing->Semantics.MengerSpongeFractalAddressing.fractalOffset - - -contains - - - -Semantics.MengerSpongeFractalAddressing.mengerAddress - -def -mengerAddress - - - -Semantics.MengerSpongeFractalAddressing->Semantics.MengerSpongeFractalAddressing.mengerAddress - - -contains - - - -Semantics.MengerSpongeFractalAddressing.mengerHausdorffDim - -def -mengerHausdorffDim - - - -Semantics.MengerSpongeFractalAddressing->Semantics.MengerSpongeFractalAddressing.mengerHausdorffDim - - -contains - - - -Semantics.MengerSpongeFractalAddressing.fractalOccupancy - -def -fractalOccupancy - - - -Semantics.MengerSpongeFractalAddressing->Semantics.MengerSpongeFractalAddressing.fractalOccupancy - - -contains - - - -Semantics.MengerSpongeFractalAddressing.reductionRatio - -def -reductionRatio - - - -Semantics.MengerSpongeFractalAddressing->Semantics.MengerSpongeFractalAddressing.reductionRatio - - -contains - - - -Semantics.MengerSpongeFractalAddressing.pistToMengerCoord - -def -pistToMengerCoord - - - -Semantics.MengerSpongeFractalAddressing->Semantics.MengerSpongeFractalAddressing.pistToMengerCoord - - -contains - - - -Semantics.MengerSpongeFractalAddressing.mengerToPistManifold - -def -mengerToPistManifold - - - -Semantics.MengerSpongeFractalAddressing->Semantics.MengerSpongeFractalAddressing.mengerToPistManifold - - -contains - - - -Semantics.MengerSpongeFractalAddressing.isMengerActionLawful - -def -isMengerActionLawful - - - -Semantics.MengerSpongeFractalAddressing->Semantics.MengerSpongeFractalAddressing.isMengerActionLawful - - -contains - - - -Semantics.MengerSpongeFractalAddressing.mengerBind - -def -mengerBind - - - -Semantics.MengerSpongeFractalAddressing->Semantics.MengerSpongeFractalAddressing.mengerBind - - -contains - - - -Semantics.MereotopologicalSheafHypergraph - -module -MereotopologicalSheafHypergraph - - - -Semantics.MereotopologicalSheafHypergraph.global_coherence_stable - -theorem -global_coherence_stable - - - -Semantics.MereotopologicalSheafHypergraph->Semantics.MereotopologicalSheafHypergraph.global_coherence_stable - - -contains - - - -Semantics.MereotopologicalSheafHypergraph.isConsistent - -def -isConsistent - - - -Semantics.MereotopologicalSheafHypergraph->Semantics.MereotopologicalSheafHypergraph.isConsistent - - -contains - - - -Semantics.MereotopologicalVideo - -module -MereotopologicalVideo - - - -Semantics.VideoPhysics - -module -VideoPhysics - - - -Semantics.MereotopologicalVideo->Semantics.VideoPhysics - - -imports - - - -Semantics.MeshRouting - -module -MeshRouting - - - -Semantics.MeshRouting.resolution_mono - -theorem -resolution_mono - - - -Semantics.MeshRouting->Semantics.MeshRouting.resolution_mono - - -contains - - - -Semantics.MeshRouting.goxelFieldEnergyConservation - -theorem -goxelFieldEnergyConservation - - - -Semantics.MeshRouting->Semantics.MeshRouting.goxelFieldEnergyConservation - - -contains - - - -Semantics.MeshRouting.goxelTopologyPreserved - -theorem -goxelTopologyPreserved - - - -Semantics.MeshRouting->Semantics.MeshRouting.goxelTopologyPreserved - - -contains - - - -Semantics.MeshRouting.vcnFrameSizeYuv420Correct - -theorem -vcnFrameSizeYuv420Correct - - - -Semantics.MeshRouting->Semantics.MeshRouting.vcnFrameSizeYuv420Correct - - -contains - - - -Semantics.MeshRouting.vcnFrameSizeRgb24Correct - -theorem -vcnFrameSizeRgb24Correct - - - -Semantics.MeshRouting->Semantics.MeshRouting.vcnFrameSizeRgb24Correct - - -contains - - - -Semantics.MeshRouting.vcnReceiptValidCompression - -theorem -vcnReceiptValidCompression - - - -Semantics.MeshRouting->Semantics.MeshRouting.vcnReceiptValidCompression - - -contains - - - -Semantics.MeshRouting.VCNResolution - -def -VCNResolution - - - -Semantics.MeshRouting->Semantics.MeshRouting.VCNResolution - - -contains - - - -Semantics.MeshRouting->Semantics.MeshRouting.VCNResolution - - -contains - - - -Semantics.MeshRouting->Semantics.MeshRouting.VCNResolution - - -contains - - - -Semantics.MeshRouting.VCNFrameRate - -def -VCNFrameRate - - - -Semantics.MeshRouting->Semantics.MeshRouting.VCNFrameRate - - -contains - - - -Semantics.MeshRouting.computeFrameSizeDynamic - -def -computeFrameSizeDynamic - - - -Semantics.MeshRouting->Semantics.MeshRouting.computeFrameSizeDynamic - - -contains - - - -Semantics.MeshRouting.selectOptimalResolution - -def -selectOptimalResolution - - - -Semantics.MeshRouting->Semantics.MeshRouting.selectOptimalResolution - - -contains - - - -Semantics.MeshRouting.selectFrameFormat - -def -selectFrameFormat - - - -Semantics.MeshRouting->Semantics.MeshRouting.selectFrameFormat - - -contains - - - -Semantics.MeshRouting.computeFrameSize - -def -computeFrameSize - - - -Semantics.MeshRouting->Semantics.MeshRouting.computeFrameSize - - -contains - - - -Semantics.MeshRouting.mkFrameSpec - -def -mkFrameSpec - - - -Semantics.MeshRouting->Semantics.MeshRouting.mkFrameSpec - - -contains - - - -Semantics.MeshRouting.mkFrameSpecDynamic - -def -mkFrameSpecDynamic - - - -Semantics.MeshRouting->Semantics.MeshRouting.mkFrameSpecDynamic - - -contains - - - -Semantics.MeshRouting.projectGoxelToVoxel - -def -projectGoxelToVoxel - - - -Semantics.MeshRouting->Semantics.MeshRouting.projectGoxelToVoxel - - -contains - - - -Semantics.MeshRouting.projectVoxelToFrame - -def -projectVoxelToFrame - - - -Semantics.MeshRouting->Semantics.MeshRouting.projectVoxelToFrame - - -contains - - - -Semantics.MeshRouting.projectGoxelFieldToFrame - -def -projectGoxelFieldToFrame - - - -Semantics.MeshRouting->Semantics.MeshRouting.projectGoxelFieldToFrame - - -contains - - - -Semantics.MeshRouting.vcnCompressionRatio - -def -vcnCompressionRatio - - - -Semantics.MeshRouting->Semantics.MeshRouting.vcnCompressionRatio - - -contains - - - -Semantics.MeshRouting.vcnSpaceSaving - -def -vcnSpaceSaving - - - -Semantics.MeshRouting->Semantics.MeshRouting.vcnSpaceSaving - - -contains - - - -Semantics.MeshRouting.transportMTU - -def -transportMTU - - - -Semantics.MeshRouting->Semantics.MeshRouting.transportMTU - - -contains - - - -Semantics.MeshRouting.transportLatency - -def -transportLatency - - - -Semantics.MeshRouting->Semantics.MeshRouting.transportLatency - - -contains - - - -Semantics.MeshRouting.transportPriority - -def -transportPriority - - - -Semantics.MeshRouting->Semantics.MeshRouting.transportPriority - - -contains - - - -Semantics.MeshRouting.transportTag - -def -transportTag - - - -Semantics.MeshRouting->Semantics.MeshRouting.transportTag - - -contains - - - -Semantics.MeshRouting.transportHeaderSize - -def -transportHeaderSize - - - -Semantics.MeshRouting->Semantics.MeshRouting.transportHeaderSize - - -contains - - - -Semantics.MetaManifoldProver - -module -MetaManifoldProver - - - -Semantics.MetaManifoldProver->Mathlib - - -imports - - - -Semantics.MetaManifoldProver.massNumberGate_monotonic - -theorem -massNumberGate_monotonic - - - -Semantics.MetaManifoldProver->Semantics.MetaManifoldProver.massNumberGate_monotonic - - -contains - - - -Semantics.MetaManifoldProver.weighted_term_bounded - -theorem -weighted_term_bounded - - - -Semantics.MetaManifoldProver->Semantics.MetaManifoldProver.weighted_term_bounded - - -contains - - - -Semantics.MetaManifoldProver.shiftRight_eq_div - -theorem -shiftRight_eq_div - - - -Semantics.MetaManifoldProver->Semantics.MetaManifoldProver.shiftRight_eq_div - - -contains - - - -Semantics.MetaManifoldProver.shiftRight_monotone - -theorem -shiftRight_monotone - - - -Semantics.MetaManifoldProver->Semantics.MetaManifoldProver.shiftRight_monotone - - -contains - - - -Semantics.MetaManifoldProver.div_le_div_of_lt - -theorem -div_le_div_of_lt - - - -Semantics.MetaManifoldProver->Semantics.MetaManifoldProver.div_le_div_of_lt - - -contains - - - -Semantics.MetaManifoldProver.surfaceCheck_reflexive - -theorem -surfaceCheck_reflexive - - - -Semantics.MetaManifoldProver->Semantics.MetaManifoldProver.surfaceCheck_reflexive - - -contains - - - -Semantics.MetaManifoldProver.foldEnergy_bounded - -theorem -foldEnergy_bounded - - - -Semantics.MetaManifoldProver->Semantics.MetaManifoldProver.foldEnergy_bounded - - -contains - - - -Semantics.MetaManifoldProver.metaManifoldProverBind_lawful - -theorem -metaManifoldProverBind_lawful - - - -Semantics.MetaManifoldProver->Semantics.MetaManifoldProver.metaManifoldProverBind_lawful - - -contains - - - -Semantics.MetaManifoldProver.massNumberGate - -def -massNumberGate - - - -Semantics.MetaManifoldProver->Semantics.MetaManifoldProver.massNumberGate - - -contains - - - -Semantics.MetaManifoldProver.foldEnergy - -def -foldEnergy - - - -Semantics.MetaManifoldProver->Semantics.MetaManifoldProver.foldEnergy - - -contains - - - -Semantics.MetaManifoldProver.surfaceCheck - -def -surfaceCheck - - - -Semantics.MetaManifoldProver->Semantics.MetaManifoldProver.surfaceCheck - - -contains - - - -Semantics.MetaManifoldProver.metaManifoldProver - -def -metaManifoldProver - - - -Semantics.MetaManifoldProver->Semantics.MetaManifoldProver.metaManifoldProver - - -contains - - - -Semantics.MetaManifoldProver.metaManifoldProverBind - -def -metaManifoldProverBind - - - -Semantics.MetaManifoldProver->Semantics.MetaManifoldProver.metaManifoldProverBind - - -contains - - - -Semantics.MetadataSurfaceComputation - -module -MetadataSurfaceComputation - - - -Semantics.MetadataSurfaceComputation.payloadReceiptUsesOnlyObjectId - -theorem -payloadReceiptUsesOnlyObjectId - - - -Semantics.MetadataSurfaceComputation->Semantics.MetadataSurfaceComputation.payloadReceiptUsesOnlyObjectId - - -contains - - - -Semantics.MetadataSurfaceComputation.exposedSurfaceForgetsPayload - -theorem -exposedSurfaceForgetsPayload - - - -Semantics.MetadataSurfaceComputation->Semantics.MetadataSurfaceComputation.exposedSurfaceForgetsPayload - - -contains - - - -Semantics.MetadataSurfaceComputation.exposeMetadataSurface - -def -exposeMetadataSurface - - - -Semantics.MetadataSurfaceComputation->Semantics.MetadataSurfaceComputation.exposeMetadataSurface - - -contains - - - -Semantics.MetadataSurfaceComputation.computeFromSurface - -def -computeFromSurface - - - -Semantics.MetadataSurfaceComputation->Semantics.MetadataSurfaceComputation.computeFromSurface - - -contains - - - -Semantics.MetadataSurfaceComputation.generateReceipt - -def -generateReceipt - - - -Semantics.MetadataSurfaceComputation->Semantics.MetadataSurfaceComputation.generateReceipt - - -contains - - - -Semantics.Metatype - -module -Metatype - - - -Semantics.Metatype.emergenceViaIntegration - -theorem -emergenceViaIntegration - - - -Semantics.Metatype->Semantics.Metatype.emergenceViaIntegration - - -contains - - - -Semantics.Metatype.containsLayer - -def -containsLayer - - - -Semantics.Metatype->Semantics.Metatype.containsLayer - - -contains - - - -Semantics.Metatype.isMetastack - -def -isMetastack - - - -Semantics.Metatype->Semantics.Metatype.isMetastack - - -contains - - - -Semantics.MetricCore - -module -MetricCore - - - -Semantics.MetricCore.metricInvariant - -def -metricInvariant - - - -Semantics.MetricCore->Semantics.MetricCore.metricInvariant - - -contains - - - -Semantics.MinimalBitcoinL3 - -module -MinimalBitcoinL3 - - - -Semantics.MinimalBitcoinL3->Semantics.Bind - - -imports - - - -Semantics.MinimalBitcoinL3.localOnlyNoTransmissionWithoutGrant - -theorem -localOnlyNoTransmissionWithoutGrant - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.localOnlyNoTransmissionWithoutGrant - - -contains - - - -Semantics.MinimalBitcoinL3.refusedTransitionPreservesState - -theorem -refusedTransitionPreservesState - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.refusedTransitionPreservesState - - -contains - - - -Semantics.MinimalBitcoinL3.zeroDeltaPreservesState - -theorem -zeroDeltaPreservesState - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.zeroDeltaPreservesState - - -contains - - - -Semantics.MinimalBitcoinL3.externalAnchorPreservesReceiptRoot - -theorem -externalAnchorPreservesReceiptRoot - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.externalAnchorPreservesReceiptRoot - - -contains - - - -Semantics.MinimalBitcoinL3.anchorDoesNotExpandScope - -theorem -anchorDoesNotExpandScope - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.anchorDoesNotExpandScope - - -contains - - - -Semantics.MinimalBitcoinL3.deltaWithinBound_valid - -theorem -deltaWithinBound_valid - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.deltaWithinBound_valid - - -contains - - - -Semantics.MinimalBitcoinL3.replayResistance - -theorem -replayResistance - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.replayResistance - - -contains - - - -Semantics.MinimalBitcoinL3.executeTransition_localOnly - -theorem -executeTransition_localOnly - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.executeTransition_localOnly - - -contains - - - -Semantics.MinimalBitcoinL3.transitionAllowed_true_whenValid - -theorem -transitionAllowed_true_whenValid - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.transitionAllowed_true_whenValid - - -contains - - - -Semantics.MinimalBitcoinL3.transitionAllowed_false_whenFromEqualsTo - -theorem -transitionAllowed_false_whenFromEqualsTo - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.transitionAllowed_false_whenFromEqualsTo - - -contains - - - -Semantics.MinimalBitcoinL3.transitionAllowed_false_whenDeltaZero - -theorem -transitionAllowed_false_whenDeltaZero - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.transitionAllowed_false_whenDeltaZero - - -contains - - - -Semantics.MinimalBitcoinL3.applyTransition_preservesWhenNotAllowed - -theorem -applyTransition_preservesWhenNotAllowed - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.applyTransition_preservesWhenNotAllowed - - -contains - - - -Semantics.MinimalBitcoinL3.applyTransition_changesToTarget - -theorem -applyTransition_changesToTarget - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.applyTransition_changesToTarget - - -contains - - - -Semantics.MinimalBitcoinL3.executeTransition - -def -executeTransition - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.executeTransition - - -contains - - - -Semantics.MinimalBitcoinL3.transitionAllowed - -def -transitionAllowed - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.transitionAllowed - - -contains - - - -Semantics.MinimalBitcoinL3.applyTransition - -def -applyTransition - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.applyTransition - - -contains - - - -Semantics.MinimalBitcoinL3.tryAnchorReceipt - -def -tryAnchorReceipt - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.tryAnchorReceipt - - -contains - - - -Semantics.MinimalBitcoinL3.isLocalOnly - -def -isLocalOnly - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.isLocalOnly - - -contains - - - -Semantics.MinimalBitcoinL3.deltaWithinBound - -def -deltaWithinBound - - - -Semantics.MinimalBitcoinL3->Semantics.MinimalBitcoinL3.deltaWithinBound - - -contains - - - -Semantics.MinimalLayer3Eval - -module -MinimalLayer3Eval - - - -Semantics.MinimalLayer3Eval->Semantics.Bind - - -imports - - - -Semantics.MinimalLayer3Eval.computeTransitionHash - -def -computeTransitionHash - - - -Semantics.MinimalLayer3Eval->Semantics.MinimalLayer3Eval.computeTransitionHash - - -contains - - - -Semantics.MinimalLayer3Eval.testCase1_validInternalTransition - -def -testCase1_validInternalTransition - - - -Semantics.MinimalLayer3Eval->Semantics.MinimalLayer3Eval.testCase1_validInternalTransition - - -contains - - - -Semantics.MinimalLayer3Eval.testCase2_missingPolicyRoot - -def -testCase2_missingPolicyRoot - - - -Semantics.MinimalLayer3Eval->Semantics.MinimalLayer3Eval.testCase2_missingPolicyRoot - - -contains - - - -Semantics.MinimalLayer3Eval.testCase3_domainMismatchBatch - -def -testCase3_domainMismatchBatch - - - -Semantics.MinimalLayer3Eval->Semantics.MinimalLayer3Eval.testCase3_domainMismatchBatch - - -contains - - - -Semantics.MinimalLayer3Eval.testCase4_missingTransitionProof - -def -testCase4_missingTransitionProof - - - -Semantics.MinimalLayer3Eval->Semantics.MinimalLayer3Eval.testCase4_missingTransitionProof - - -contains - - - -Semantics.MinimalLayer3Eval.testCase5_localOnlyTransition - -def -testCase5_localOnlyTransition - - - -Semantics.MinimalLayer3Eval->Semantics.MinimalLayer3Eval.testCase5_localOnlyTransition - - -contains - - - -Semantics.MinimalLayer3Eval.testCase6_validExternalAnchor - -def -testCase6_validExternalAnchor - - - -Semantics.MinimalLayer3Eval->Semantics.MinimalLayer3Eval.testCase6_validExternalAnchor - - -contains - - - -Semantics.MinimalLayer3Eval.testCase7_anchorScopeExpansion - -def -testCase7_anchorScopeExpansion - - - -Semantics.MinimalLayer3Eval->Semantics.MinimalLayer3Eval.testCase7_anchorScopeExpansion - - -contains - - - -Semantics.MinimalLayer3Eval.testCase8_replayedTransition - -def -testCase8_replayedTransition - - - -Semantics.MinimalLayer3Eval->Semantics.MinimalLayer3Eval.testCase8_replayedTransition - - -contains - - - -Semantics.MinimalLayer3Eval.executeMinimalQuiz - -def -executeMinimalQuiz - - - -Semantics.MinimalLayer3Eval->Semantics.MinimalLayer3Eval.executeMinimalQuiz - - -contains - - - -Semantics.MinimalLayer3Eval.countMinimalPassed - -def -countMinimalPassed - - - -Semantics.MinimalLayer3Eval->Semantics.MinimalLayer3Eval.countMinimalPassed - - -contains - - - -Semantics.MinimalLayer3Eval.generateMinimalQuizSummary - -def -generateMinimalQuizSummary - - - -Semantics.MinimalLayer3Eval->Semantics.MinimalLayer3Eval.generateMinimalQuizSummary - - -contains - - - -Semantics.MoECache - -module -MoECache - - - -Semantics.MoECache.hitCountIncreases - -theorem -hitCountIncreases - - - -Semantics.MoECache->Semantics.MoECache.hitCountIncreases - - -contains - - - -Semantics.MoECache.lruInitBounded - -theorem -lruInitBounded - - - -Semantics.MoECache->Semantics.MoECache.lruInitBounded - - -contains - - - -Semantics.MoECache.zero - -def -zero - - - -Semantics.MoECache->Semantics.MoECache.zero - - -contains - - - -Semantics.MoECache.one - -def -one - - - -Semantics.MoECache->Semantics.MoECache.one - - -contains - - - -Semantics.MoECache.ofFrac - -def -ofFrac - - - -Semantics.MoECache->Semantics.MoECache.ofFrac - - -contains - - - -Semantics.MoECache.initLRUCache - -def -initLRUCache - - - -Semantics.MoECache->Semantics.MoECache.initLRUCache - - -contains - - - -Semantics.MoECache.lruAccess - -def -lruAccess - - - -Semantics.MoECache->Semantics.MoECache.lruAccess - - -contains - - - -Semantics.MoECache.getLRUEvictionKey - -def -getLRUEvictionKey - - - -Semantics.MoECache->Semantics.MoECache.getLRUEvictionKey - - -contains - - - -Semantics.MoECache.incrementHitCount - -def -incrementHitCount - - - -Semantics.MoECache->Semantics.MoECache.incrementHitCount - - -contains - - - -Semantics.MoECache.computeHitRate - -def -computeHitRate - - - -Semantics.MoECache->Semantics.MoECache.computeHitRate - - -contains - - - -Semantics.MorphicDSP - -module -MorphicDSP - - - -Semantics.MorphicDSP.superposedMapsToAdaptive - -theorem -superposedMapsToAdaptive - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.superposedMapsToAdaptive - - -contains - - - -Semantics.MorphicDSP.criticalOepiAllocatesAll - -theorem -criticalOepiAllocatesAll - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.criticalOepiAllocatesAll - - -contains - - - -Semantics.MorphicDSP.lowOepiAllocatesOne - -theorem -lowOepiAllocatesOne - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.lowOepiAllocatesOne - - -contains - - - -Semantics.MorphicDSP.initDspBankHasFiveSlices - -theorem -initDspBankHasFiveSlices - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.initDspBankHasFiveSlices - - -contains - - - -Semantics.MorphicDSP.stateToDspMode - -def -stateToDspMode - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.stateToDspMode - - -contains - - - -Semantics.MorphicDSP.configureDspSlice - -def -configureDspSlice - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.configureDspSlice - - -contains - - - -Semantics.MorphicDSP.executeDspOp - -def -executeDspOp - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.executeDspOp - - -contains - - - -Semantics.MorphicDSP.initDspBank - -def -initDspBank - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.initDspBank - - -contains - - - -Semantics.MorphicDSP.configureDspBank - -def -configureDspBank - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.configureDspBank - - -contains - - - -Semantics.MorphicDSP.allocateDspSlices - -def -allocateDspSlices - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.allocateDspSlices - - -contains - - - -Semantics.MorphicDSP.admissibleBasis - -def -admissibleBasis - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.admissibleBasis - - -contains - - - -Semantics.MorphicDSP.isInAdmissibleBasis - -def -isInAdmissibleBasis - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.isInAdmissibleBasis - - -contains - - - -Semantics.MorphicDSP.checkCollapseGate - -def -checkCollapseGate - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.checkCollapseGate - - -contains - - - -Semantics.MorphicDSP.checkMergeGate - -def -checkMergeGate - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.checkMergeGate - - -contains - - - -Semantics.MorphicDSP.checkSplitGate - -def -checkSplitGate - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.checkSplitGate - - -contains - - - -Semantics.MorphicDSP.checkTopologyGate - -def -checkTopologyGate - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.checkTopologyGate - - -contains - - - -Semantics.MorphicDSP.checkDeterminismGate - -def -checkDeterminismGate - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.checkDeterminismGate - - -contains - - - -Semantics.MorphicDSP.quizValidModeCollapse - -def -quizValidModeCollapse - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.quizValidModeCollapse - - -contains - - - -Semantics.MorphicDSP.quizInvalidMode - -def -quizInvalidMode - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.quizInvalidMode - - -contains - - - -Semantics.MorphicDSP.quizMergeWithinBounds - -def -quizMergeWithinBounds - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.quizMergeWithinBounds - - -contains - - - -Semantics.MorphicDSP.quizMergeExceedsResources - -def -quizMergeExceedsResources - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.quizMergeExceedsResources - - -contains - - - -Semantics.MorphicDSP.quizSplitPreservesPrecision - -def -quizSplitPreservesPrecision - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.quizSplitPreservesPrecision - - -contains - - - -Semantics.MorphicDSP.quizSplitLosesPrecision - -def -quizSplitLosesPrecision - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.quizSplitLosesPrecision - - -contains - - - -Semantics.MorphicDSP.quizTopologyAdaptationValid - -def -quizTopologyAdaptationValid - - - -Semantics.MorphicDSP->Semantics.MorphicDSP.quizTopologyAdaptationValid - - -contains - - - -Semantics.MorphicLocalField - -module -MorphicLocalField - - - -Semantics.MorphicLocalField.needFieldGradient - -def -needFieldGradient - - - -Semantics.MorphicLocalField->Semantics.MorphicLocalField.needFieldGradient - - -contains - - - -Semantics.MorphicLocalField.riskFieldGradient - -def -riskFieldGradient - - - -Semantics.MorphicLocalField->Semantics.MorphicLocalField.riskFieldGradient - - -contains - - - -Semantics.MorphicLocalField.curveField - -def -curveField - - - -Semantics.MorphicLocalField->Semantics.MorphicLocalField.curveField - - -contains - - - -Semantics.MorphicLocalField.noiseField - -def -noiseField - - - -Semantics.MorphicLocalField->Semantics.MorphicLocalField.noiseField - - -contains - - - -Semantics.MorphicLocalField.computeForce - -def -computeForce - - - -Semantics.MorphicLocalField->Semantics.MorphicLocalField.computeForce - - -contains - - - -Semantics.MorphicLocalField.projectToAdmissibleTopology - -def -projectToAdmissibleTopology - - - -Semantics.MorphicLocalField->Semantics.MorphicLocalField.projectToAdmissibleTopology - - -contains - - - -Semantics.MorphicLocalField.successScore - -def -successScore - - - -Semantics.MorphicLocalField->Semantics.MorphicLocalField.successScore - - -contains - - - -Semantics.MorphicLocalField.failureScore - -def -failureScore - - - -Semantics.MorphicLocalField->Semantics.MorphicLocalField.failureScore - - -contains - - - -Semantics.MorphicLocalField.unsafeScore - -def -unsafeScore - - - -Semantics.MorphicLocalField->Semantics.MorphicLocalField.unsafeScore - - -contains - - - -Semantics.MorphicLocalField.normalizeAmplitude - -def -normalizeAmplitude - - - -Semantics.MorphicLocalField->Semantics.MorphicLocalField.normalizeAmplitude - - -contains - - - -Semantics.MorphicLocalField.updateAmplitude - -def -updateAmplitude - - - -Semantics.MorphicLocalField->Semantics.MorphicLocalField.updateAmplitude - - -contains - - - -Semantics.MorphicNeuralNetwork - -module -MorphicNeuralNetwork - - - -Semantics.MorphicNeuralNetwork->Semantics.FixedPoint - - -imports - - - -Semantics.MorphicNeuralNetwork.scalarToGoal - -def -scalarToGoal - - - -Semantics.MorphicNeuralNetwork->Semantics.MorphicNeuralNetwork.scalarToGoal - - -contains - - - -Semantics.MorphicNeuralNetwork.goalToCodon - -def -goalToCodon - - - -Semantics.MorphicNeuralNetwork->Semantics.MorphicNeuralNetwork.goalToCodon - - -contains - - - -Semantics.MorphicNeuralNetwork.canSatisfyLocally - -def -canSatisfyLocally - - - -Semantics.MorphicNeuralNetwork->Semantics.MorphicNeuralNetwork.canSatisfyLocally - - -contains - - - -Semantics.MorphicNeuralNetwork.selectPath - -def -selectPath - - - -Semantics.MorphicNeuralNetwork->Semantics.MorphicNeuralNetwork.selectPath - - -contains - - - -Semantics.MorphicNeuralNetwork.mnnRoute - -def -mnnRoute - - - -Semantics.MorphicNeuralNetwork->Semantics.MorphicNeuralNetwork.mnnRoute - - -contains - - - -Semantics.MorphicNeuralNetwork.scalarInvariant - -def -scalarInvariant - - - -Semantics.MorphicNeuralNetwork->Semantics.MorphicNeuralNetwork.scalarInvariant - - -contains - - - -Semantics.MorphicNeuralNetwork.stateInvariant - -def -stateInvariant - - - -Semantics.MorphicNeuralNetwork->Semantics.MorphicNeuralNetwork.stateInvariant - - -contains - - - -Semantics.MorphicNeuralNetwork.carrierInvariant - -def -carrierInvariant - - - -Semantics.MorphicNeuralNetwork->Semantics.MorphicNeuralNetwork.carrierInvariant - - -contains - - - -Semantics.MorphicNeuralNetwork.decisionInvariant - -def -decisionInvariant - - - -Semantics.MorphicNeuralNetwork->Semantics.MorphicNeuralNetwork.decisionInvariant - - -contains - - - -Semantics.MorphicNeuralNetwork.mnnRoutingCost - -def -mnnRoutingCost - - - -Semantics.MorphicNeuralNetwork->Semantics.MorphicNeuralNetwork.mnnRoutingCost - - -contains - - - -Semantics.MorphicNeuralNetwork.mnnRoutingBind - -def -mnnRoutingBind - - - -Semantics.MorphicNeuralNetwork->Semantics.MorphicNeuralNetwork.mnnRoutingBind - - -contains - - - -Semantics.MorphicScalar - -module -MorphicScalar - - - -Semantics.MorphicScalar->Semantics.Bind - - -imports - - - -Semantics.MorphicScalar.exampleOepiNonnegative - -theorem -exampleOepiNonnegative - - - -Semantics.MorphicScalar->Semantics.MorphicScalar.exampleOepiNonnegative - - -contains - - - -Semantics.MorphicScalar.initializedSuperposedScalarHasNoNiche - -theorem -initializedSuperposedScalarHasNoNiche - - - -Semantics.MorphicScalar->Semantics.MorphicScalar.initializedSuperposedScalarHasNoNiche - - -contains - - - -Semantics.MorphicScalar.stateTransitionDeterministic - -theorem -stateTransitionDeterministic - - - -Semantics.MorphicScalar->Semantics.MorphicScalar.stateTransitionDeterministic - - -contains - - - -Semantics.MorphicScalar.calculateOEPI - -def -calculateOEPI - - - -Semantics.MorphicScalar->Semantics.MorphicScalar.calculateOEPI - - -contains - - - -Semantics.MorphicScalar.initMorphicScalar - -def -initMorphicScalar - - - -Semantics.MorphicScalar->Semantics.MorphicScalar.initMorphicScalar - - -contains - - - -Semantics.MorphicScalar.collapseProfile - -def -collapseProfile - - - -Semantics.MorphicScalar->Semantics.MorphicScalar.collapseProfile - - -contains - - - -Semantics.MorphicScalar.updateAmplitude - -def -updateAmplitude - - - -Semantics.MorphicScalar->Semantics.MorphicScalar.updateAmplitude - - -contains - - - -Semantics.MorphicScalar.addLineageMemory - -def -addLineageMemory - - - -Semantics.MorphicScalar->Semantics.MorphicScalar.addLineageMemory - - -contains - - - -Semantics.MorphicScalar.addQueryHistory - -def -addQueryHistory - - - -Semantics.MorphicScalar->Semantics.MorphicScalar.addQueryHistory - - -contains - - - -Semantics.MorphicScalar.enterLowPowerPassiveMode - -def -enterLowPowerPassiveMode - - - -Semantics.MorphicScalar->Semantics.MorphicScalar.enterLowPowerPassiveMode - - -contains - - - -Semantics.MorphicScalar.exitLowPowerPassiveMode - -def -exitLowPowerPassiveMode - - - -Semantics.MorphicScalar->Semantics.MorphicScalar.exitLowPowerPassiveMode - - -contains - - - -Semantics.MorphicScalar.scalarCollapseBind - -def -scalarCollapseBind - - - -Semantics.MorphicScalar->Semantics.MorphicScalar.scalarCollapseBind - - -contains - - - -Semantics.MultiBodyField - -module -MultiBodyField - - - -Semantics.MultiBodyField.interactionEffectiveMass - -def -interactionEffectiveMass - - - -Semantics.MultiBodyField->Semantics.MultiBodyField.interactionEffectiveMass - - -contains - - - -Semantics.MultiBodyField.interactionEffectiveCharge - -def -interactionEffectiveCharge - - - -Semantics.MultiBodyField->Semantics.MultiBodyField.interactionEffectiveCharge - - -contains - - - -Semantics.MultiBodyField.bodyDistance - -def -bodyDistance - - - -Semantics.MultiBodyField->Semantics.MultiBodyField.bodyDistance - - -contains - - - -Semantics.MultiBodyField.interactionMagnitude - -def -interactionMagnitude - - - -Semantics.MultiBodyField->Semantics.MultiBodyField.interactionMagnitude - - -contains - - - -Semantics.MultiBodyField.bodyInteraction - -def -bodyInteraction - - - -Semantics.MultiBodyField->Semantics.MultiBodyField.bodyInteraction - - -contains - - - -Semantics.MultiBodyField.assemblyStability - -def -assemblyStability - - - -Semantics.MultiBodyField->Semantics.MultiBodyField.assemblyStability - - -contains - - - -Semantics.MultiBodyField.interactionCoupling - -def -interactionCoupling - - - -Semantics.MultiBodyField->Semantics.MultiBodyField.interactionCoupling - - -contains - - - -Semantics.MultiBodyField.multiBodySignatureOf - -def -multiBodySignatureOf - - - -Semantics.MultiBodyField->Semantics.MultiBodyField.multiBodySignatureOf - - -contains - - - -Semantics.MultiBodyField->Semantics.PhysicsScalarBridge - - -imports - - - -Semantics.N3L_Energy - -module -N3L_Energy - - - -Semantics.N3L_Energy.integral_comp_add_right_ℝ - -theorem -integral_comp_add_right_ℝ - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.integral_comp_add_right_ℝ - - -contains - - - -Semantics.N3L_Energy.integral_gaussian_1d - -theorem -integral_gaussian_1d - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.integral_gaussian_1d - - -contains - - - -Semantics.N3L_Energy.integral_gaussian_1d_shifted - -theorem -integral_gaussian_1d_shifted - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.integral_gaussian_1d_shifted - - -contains - - - -Semantics.N3L_Energy.exp_sum_of_sq - -theorem -exp_sum_of_sq - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.exp_sum_of_sq - - -contains - - - -Semantics.N3L_Energy.gaussian_line_integral_at_distance - -theorem -gaussian_line_integral_at_distance - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.gaussian_line_integral_at_distance - - -contains - - - -Semantics.N3L_Energy.peak_contribution_on_axis - -theorem -peak_contribution_on_axis - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.peak_contribution_on_axis - - -contains - - - -Semantics.N3L_Energy.on_line_contribution - -theorem -on_line_contribution - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.on_line_contribution - - -contains - - - -Semantics.N3L_Energy.penalty_nonneg - -theorem -penalty_nonneg - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.penalty_nonneg - - -contains - - - -Semantics.N3L_Energy.penalty_zero_iff - -theorem -penalty_zero_iff - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.penalty_zero_iff - - -contains - - - -Semantics.N3L_Energy.energy_zero_iff - -theorem -energy_zero_iff - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.energy_zero_iff - - -contains - - - -Semantics.N3L_Energy.energy_nonneg - -theorem -energy_nonneg - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.energy_nonneg - - -contains - - - -Semantics.N3L_Energy.energy_pos_of_exceeds - -theorem -energy_pos_of_exceeds - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.energy_pos_of_exceeds - - -contains - - - -Semantics.N3L_Energy.σ_crit_pos - -theorem -σ_crit_pos - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.σ_crit_pos - - -contains - - - -Semantics.N3L_Energy.three_over_sroot2pi_gt_two - -theorem -three_over_sroot2pi_gt_two - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.three_over_sroot2pi_gt_two - - -contains - - - -Semantics.N3L_Energy.sq_add_sq_ge_half_sq_sub_sq - -theorem -sq_add_sq_ge_half_sq_sub_sq - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.sq_add_sq_ge_half_sq_sub_sq - - -contains - - - -Semantics.N3L_Energy.peak_integrable_over_R - -theorem -peak_integrable_over_R - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.peak_integrable_over_R - - -contains - - - -Semantics.N3L_Energy.ansatzLineDensity_decomp - -theorem -ansatzLineDensity_decomp - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.ansatzLineDensity_decomp - - -contains - - - -Semantics.N3L_Energy.peak_contribution_nonneg - -theorem -peak_contribution_nonneg - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.peak_contribution_nonneg - - -contains - - - -Semantics.N3L_Energy.signedArea_zero_implies_perpDist_zero - -theorem -signedArea_zero_implies_perpDist_zero - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.signedArea_zero_implies_perpDist_zero - - -contains - - - -Semantics.N3L_Energy.integrand_simp - -theorem -integrand_simp - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.integrand_simp - - -contains - - - -Semantics.N3L_Energy.integrand_simp2 - -theorem -integrand_simp2 - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.integrand_simp2 - - -contains - - - -Semantics.N3L_Energy.collinear_line_density_exceeds_two - -theorem -collinear_line_density_exceeds_two - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.collinear_line_density_exceeds_two - - -contains - - - -Semantics.N3L_Energy.gaussian_line_integral_unit_dir - -theorem -gaussian_line_integral_unit_dir - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.gaussian_line_integral_unit_dir - - -contains - - - -Semantics.N3L_Energy.on_line_contribution_general - -theorem -on_line_contribution_general - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.on_line_contribution_general - - -contains - - - -Semantics.N3L_Energy.collinear_line_density_exceeds_two_general - -theorem -collinear_line_density_exceeds_two_gener - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.collinear_line_density_exceeds_two_general - - -contains - - - -Semantics.N3L_Energy.no_collinear_at_zero_energy - -theorem -no_collinear_at_zero_energy - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.no_collinear_at_zero_energy - - -contains - - - -Semantics.N3L_Energy.signedArea - -def -signedArea - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.signedArea - - -contains - - - -Semantics.N3L_Energy.perpDistance - -def -perpDistance - - - -Semantics.N3L_Energy->Semantics.N3L_Energy.perpDistance - - -contains - - - -Semantics.NGemetry - -module -NGemetry - - - -Semantics.NGemetry.originDistanceZero - -theorem -originDistanceZero - - - -Semantics.NGemetry->Semantics.NGemetry.originDistanceZero - - -contains - - - -Semantics.NGemetry.euclideanDistanceSymmetric - -theorem -euclideanDistanceSymmetric - - - -Semantics.NGemetry->Semantics.NGemetry.euclideanDistanceSymmetric - - -contains - - - -Semantics.NGemetry.manhattanTriangleInequality - -theorem -manhattanTriangleInequality - - - -Semantics.NGemetry->Semantics.NGemetry.manhattanTriangleInequality - - -contains - - - -Semantics.NGemetry.dotProductCommutative - -theorem -dotProductCommutative - - - -Semantics.NGemetry->Semantics.NGemetry.dotProductCommutative - - -contains - - - -Semantics.NGemetry.zeroVectorMagnitude - -theorem -zeroVectorMagnitude - - - -Semantics.NGemetry->Semantics.NGemetry.zeroVectorMagnitude - - -contains - - - -Semantics.NGemetry.zero - -def -zero - - - -Semantics.NGemetry->Semantics.NGemetry.zero - - -contains - - - -Semantics.NGemetry.one - -def -one - - - -Semantics.NGemetry->Semantics.NGemetry.one - - -contains - - - -Semantics.NGemetry.ofNat - -def -ofNat - - - -Semantics.NGemetry->Semantics.NGemetry.ofNat - - -contains - - - -Semantics.NGemetry.add - -def -add - - - -Semantics.NGemetry->Semantics.NGemetry.add - - -contains - - - -Semantics.NGemetry->Semantics.NGemetry.add - - -contains - - - -Semantics.NGemetry.sub - -def -sub - - - -Semantics.NGemetry->Semantics.NGemetry.sub - - -contains - - - -Semantics.NGemetry->Semantics.NGemetry.sub - - -contains - - - -Semantics.NGemetry.mul - -def -mul - - - -Semantics.NGemetry->Semantics.NGemetry.mul - - -contains - - - -Semantics.NGemetry.div - -def -div - - - -Semantics.NGemetry->Semantics.NGemetry.div - - -contains - - - -Semantics.NGemetry.abs - -def -abs - - - -Semantics.NGemetry->Semantics.NGemetry.abs - - -contains - - - -Semantics.NGemetry.min - -def -min - - - -Semantics.NGemetry->Semantics.NGemetry.min - - -contains - - - -Semantics.NGemetry.max - -def -max - - - -Semantics.NGemetry->Semantics.NGemetry.max - - -contains - - - -Semantics.NGemetry.fromArray - -def -fromArray - - - -Semantics.NGemetry->Semantics.NGemetry.fromArray - - -contains - - - -Semantics.NGemetry->Semantics.NGemetry.fromArray - - -contains - - - -Semantics.NGemetry.getCoord - -def -getCoord - - - -Semantics.NGemetry->Semantics.NGemetry.getCoord - - -contains - - - -Semantics.NGemetry.euclideanDistance - -def -euclideanDistance - - - -Semantics.NGemetry->Semantics.NGemetry.euclideanDistance - - -contains - - - -Semantics.NGemetry.manhattanDistance - -def -manhattanDistance - - - -Semantics.NGemetry->Semantics.NGemetry.manhattanDistance - - -contains - - - -Semantics.NGemetry.origin - -def -origin - - - -Semantics.NGemetry->Semantics.NGemetry.origin - - -contains - - - -Semantics.NGemetry.getComp - -def -getComp - - - -Semantics.NGemetry->Semantics.NGemetry.getComp - - -contains - - - -Semantics.NGemetry.dot - -def -dot - - - -Semantics.NGemetry->Semantics.NGemetry.dot - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration - -module -CognitiveLoadIntegration - - - -Semantics.NIICore.CognitiveLoadIntegration.cognitive_load_non_negative - -theorem -cognitive_load_non_negative - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.cognitive_load_non_negative - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.update_increases_timestamp - -theorem -update_increases_timestamp - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.update_increases_timestamp - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.morphing_decision_confidence_valid - -theorem -morphing_decision_confidence_valid - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.morphing_decision_confidence_valid - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.load_based_morphing_preserves_thresholds - -theorem -load_based_morphing_preserves_thresholds - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.load_based_morphing_preserves_thresholds - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.zero - -def -zero - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.zero - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.one - -def -one - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.one - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.ofNat - -def -ofNat - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.ofNat - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.initial - -def -initial - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.initial - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.initial - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.update - -def -update - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.update - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.isOverloaded - -def -isOverloaded - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.isOverloaded - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.isIncreasing - -def -isIncreasing - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.isIncreasing - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.default - -def -default - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.default - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.shouldMorph - -def -shouldMorph - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.shouldMorph - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.getTargetMode - -def -getTargetMode - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.getTargetMode - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.noMorph - -def -noMorph - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.noMorph - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.toPolysemantic - -def -toPolysemantic - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.toPolysemantic - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.toAdaptive - -def -toAdaptive - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.toAdaptive - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.evaluate - -def -evaluate - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.evaluate - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.updateLoad - -def -updateLoad - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.updateLoad - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.shouldTriggerMorphing - -def -shouldTriggerMorphing - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.shouldTriggerMorphing - - -contains - - - -Semantics.NIICore.CognitiveLoadIntegration.testCognitiveLoadIntegration - -def -testCognitiveLoadIntegration - - - -Semantics.NIICore.CognitiveLoadIntegration->Semantics.NIICore.CognitiveLoadIntegration.testCognitiveLoadIntegration - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing - -module -DifferentialAttentionMorphing - - - -Semantics.NIICore.DifferentialAttentionMorphing.differentialAttentionMagnitudeNonNegative - -theorem -differentialAttentionMagnitudeNonNegativ - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.differentialAttentionMagnitudeNonNegative - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.attentionBasedControllerPreservesCoreId - -theorem -attentionBasedControllerPreservesCoreId - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.attentionBasedControllerPreservesCoreId - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.morphingRequirementThreshold - -theorem -morphingRequirementThreshold - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.morphingRequirementThreshold - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.zero - -def -zero - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.zero - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.one - -def -one - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.one - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.ofNat - -def -ofNat - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.ofNat - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.abs - -def -abs - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.abs - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.monosemantic - -def -monosemantic - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.monosemantic - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.polysemantic - -def -polysemantic - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.polysemantic - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.domainAttention - -def -domainAttention - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.domainAttention - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.compute - -def -compute - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.compute - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.significantDomains - -def -significantDomains - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.significantDomains - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.morphingRequirement - -def -morphingRequirement - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.morphingRequirement - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.create - -def -create - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.create - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.evaluateMorphingNeed - -def -evaluateMorphingNeed - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.evaluateMorphingNeed - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.determineAction - -def -determineAction - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.determineAction - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.executeAction - -def -executeAction - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.executeAction - - -contains - - - -Semantics.NIICore.DifferentialAttentionMorphing.testDifferentialAttentionMorphing - -def -testDifferentialAttentionMorphing - - - -Semantics.NIICore.DifferentialAttentionMorphing->Semantics.NIICore.DifferentialAttentionMorphing.testDifferentialAttentionMorphing - - -contains - - - -Semantics.NIICore.HierarchicalController - -module -HierarchicalController - - - -Semantics.NIICore.HierarchicalController.localControllerPreservesCoreId - -theorem -localControllerPreservesCoreId - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.localControllerPreservesCoreId - - -contains - - - -Semantics.NIICore.HierarchicalController.globalControllerPreservesLocalControllerCount - -theorem -globalControllerPreservesLocalController - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.globalControllerPreservesLocalControllerCount - - -contains - - - -Semantics.NIICore.HierarchicalController.controllerStateTimestampIncreases - -theorem -controllerStateTimestampIncreases - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.controllerStateTimestampIncreases - - -contains - - - -Semantics.NIICore.HierarchicalController.controllerStateSuccessCountIncreases - -theorem -controllerStateSuccessCountIncreases - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.controllerStateSuccessCountIncreases - - -contains - - - -Semantics.NIICore.HierarchicalController.zero - -def -zero - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.zero - - -contains - - - -Semantics.NIICore.HierarchicalController.one - -def -one - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.one - - -contains - - - -Semantics.NIICore.HierarchicalController.ofNat - -def -ofNat - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.ofNat - - -contains - - - -Semantics.NIICore.HierarchicalController.initial - -def -initial - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.initial - - -contains - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.initial - - -contains - - - -Semantics.NIICore.HierarchicalController.updateSuccess - -def -updateSuccess - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.updateSuccess - - -contains - - - -Semantics.NIICore.HierarchicalController.updateFailure - -def -updateFailure - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.updateFailure - - -contains - - - -Semantics.NIICore.HierarchicalController.create - -def -create - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.create - - -contains - - - -Semantics.NIICore.HierarchicalController.evaluateMorphing - -def -evaluateMorphing - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.evaluateMorphing - - -contains - - - -Semantics.NIICore.HierarchicalController.executeDecision - -def -executeDecision - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.executeDecision - - -contains - - - -Semantics.NIICore.HierarchicalController.addLocalController - -def -addLocalController - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.addLocalController - - -contains - - - -Semantics.NIICore.HierarchicalController.evaluateGlobalMorphing - -def -evaluateGlobalMorphing - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.evaluateGlobalMorphing - - -contains - - - -Semantics.NIICore.HierarchicalController.executeGlobalDecision - -def -executeGlobalDecision - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.executeGlobalDecision - - -contains - - - -Semantics.NIICore.HierarchicalController.createDefaultLocalController - -def -createDefaultLocalController - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.createDefaultLocalController - - -contains - - - -Semantics.NIICore.HierarchicalController.createDefaultGlobalController - -def -createDefaultGlobalController - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.createDefaultGlobalController - - -contains - - - -Semantics.NIICore.HierarchicalController.testHierarchicalController - -def -testHierarchicalController - - - -Semantics.NIICore.HierarchicalController->Semantics.NIICore.HierarchicalController.testHierarchicalController - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph - -module -MereotopologicalSheafHypergraph - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.parthoodTransitive - -theorem -parthoodTransitive - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.parthoodTransitive - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.overlapSymmetric - -theorem -overlapSymmetric - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.overlapSymmetric - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.rewriteDeterminism - -theorem -rewriteDeterminism - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.rewriteDeterminism - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.sheafPreservedUnderRewrite - -theorem -sheafPreservedUnderRewrite - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.sheafPreservedUnderRewrite - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.partWholePreservedUnderRewrite - -theorem -partWholePreservedUnderRewrite - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.partWholePreservedUnderRewrite - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.partWholeConsistentRewriting - -theorem -partWholeConsistentRewriting - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.partWholeConsistentRewriting - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.zero - -def -zero - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.zero - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.one - -def -one - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.one - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.ofNat - -def -ofNat - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.ofNat - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.abs - -def -abs - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.abs - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.checkSheafConsistencyAfterRewrite - -def -checkSheafConsistencyAfterRewrite - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.checkSheafConsistencyAfterRewrite - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.checkPartWholeConsistencyAfterRewrite - -def -checkPartWholeConsistencyAfterRewrite - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.checkPartWholeConsistencyAfterRewrite - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.applyRewriteWithConsistency - -def -applyRewriteWithConsistency - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.applyRewriteWithConsistency - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.defaultMereotopologicalState - -def -defaultMereotopologicalState - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.defaultMereotopologicalState - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.defaultSheaf - -def -defaultSheaf - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.defaultSheaf - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.defaultHypergraph - -def -defaultHypergraph - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.defaultHypergraph - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.defaultHybridState - -def -defaultHybridState - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.defaultHybridState - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.applyRewriteAndVerify - -def -applyRewriteAndVerify - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.applyRewriteAndVerify - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.runHybridTest - -def -runHybridTest - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.runHybridTest - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.printHybridTestResults - -def -printHybridTestResults - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.printHybridTestResults - - -contains - - - -Semantics.NIICore.MereotopologicalSheafHypergraph.main - -def -main - - - -Semantics.NIICore.MereotopologicalSheafHypergraph->Semantics.NIICore.MereotopologicalSheafHypergraph.main - - -contains - - - -Semantics.NIICore.MetaLearning - -module -MetaLearning - - - -Semantics.NIICore.MetaLearning.metaPolicyHistoryGrows - -theorem -metaPolicyHistoryGrows - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.metaPolicyHistoryGrows - - -contains - - - -Semantics.NIICore.MetaLearning.metaPolicyPerformanceHistoryGrows - -theorem -metaPolicyPerformanceHistoryGrows - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.metaPolicyPerformanceHistoryGrows - - -contains - - - -Semantics.NIICore.MetaLearning.metaLearningControllerPreservesCoreId - -theorem -metaLearningControllerPreservesCoreId - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.metaLearningControllerPreservesCoreId - - -contains - - - -Semantics.NIICore.MetaLearning.zero - -def -zero - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.zero - - -contains - - - -Semantics.NIICore.MetaLearning.one - -def -one - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.one - - -contains - - - -Semantics.NIICore.MetaLearning.ofNat - -def -ofNat - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.ofNat - - -contains - - - -Semantics.NIICore.MetaLearning.fromTasks - -def -fromTasks - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.fromTasks - - -contains - - - -Semantics.NIICore.MetaLearning.initial - -def -initial - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.initial - - -contains - - - -Semantics.NIICore.MetaLearning.selectAction - -def -selectAction - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.selectAction - - -contains - - - -Semantics.NIICore.MetaLearning.updatePolicy - -def -updatePolicy - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.updatePolicy - - -contains - - - -Semantics.NIICore.MetaLearning.generalizeAcrossDistributions - -def -generalizeAcrossDistributions - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.generalizeAcrossDistributions - - -contains - - - -Semantics.NIICore.MetaLearning.create - -def -create - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.create - - -contains - - - -Semantics.NIICore.MetaLearning.processTask - -def -processTask - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.processTask - - -contains - - - -Semantics.NIICore.MetaLearning.updateWithResult - -def -updateWithResult - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.updateWithResult - - -contains - - - -Semantics.NIICore.MetaLearning.adaptToNewDistribution - -def -adaptToNewDistribution - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.adaptToNewDistribution - - -contains - - - -Semantics.NIICore.MetaLearning.testMetaLearning - -def -testMetaLearning - - - -Semantics.NIICore.MetaLearning->Semantics.NIICore.MetaLearning.testMetaLearning - - -contains - - - -Semantics.NIICore.MorphicCoreId - -module -MorphicCoreId - - - -Semantics.NIICore.MorphicCoreId.morphic_core_is_morphic_after_transition - -theorem -morphic_core_is_morphic_after_transition - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.morphic_core_is_morphic_after_transition - - -contains - - - -Semantics.NIICore.MorphicCoreId.transition_cost_non_negative - -theorem -transition_cost_non_negative - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.transition_cost_non_negative - - -contains - - - -Semantics.NIICore.MorphicCoreId.base_cores_not_morphic - -theorem -base_cores_not_morphic - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.base_cores_not_morphic - - -contains - - - -Semantics.NIICore.MorphicCoreId.zero - -def -zero - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.zero - - -contains - - - -Semantics.NIICore.MorphicCoreId.one - -def -one - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.one - - -contains - - - -Semantics.NIICore.MorphicCoreId.ofNat - -def -ofNat - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.ofNat - - -contains - - - -Semantics.NIICore.MorphicCoreId.nii01 - -def -nii01 - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.nii01 - - -contains - - - -Semantics.NIICore.MorphicCoreId.nii02 - -def -nii02 - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.nii02 - - -contains - - - -Semantics.NIICore.MorphicCoreId.nii03 - -def -nii03 - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.nii03 - - -contains - - - -Semantics.NIICore.MorphicCoreId.morphicNii01 - -def -morphicNii01 - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.morphicNii01 - - -contains - - - -Semantics.NIICore.MorphicCoreId.morphicNii02 - -def -morphicNii02 - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.morphicNii02 - - -contains - - - -Semantics.NIICore.MorphicCoreId.morphicNii03 - -def -morphicNii03 - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.morphicNii03 - - -contains - - - -Semantics.NIICore.MorphicCoreId.hybridCore - -def -hybridCore - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.hybridCore - - -contains - - - -Semantics.NIICore.MorphicCoreId.isMorphic - -def -isMorphic - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.isMorphic - - -contains - - - -Semantics.NIICore.MorphicCoreId.getMorphicMode - -def -getMorphicMode - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.getMorphicMode - - -contains - - - -Semantics.NIICore.MorphicCoreId.toMorphic - -def -toMorphic - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.toMorphic - - -contains - - - -Semantics.NIICore.MorphicCoreId.morphicModeTransition - -def -morphicModeTransition - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.morphicModeTransition - - -contains - - - -Semantics.NIICore.MorphicCoreId.toHybrid - -def -toHybrid - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.toHybrid - - -contains - - - -Semantics.NIICore.MorphicCoreId.testBaseCores - -def -testBaseCores - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.testBaseCores - - -contains - - - -Semantics.NIICore.MorphicCoreId.testMorphicTransition - -def -testMorphicTransition - - - -Semantics.NIICore.MorphicCoreId->Semantics.NIICore.MorphicCoreId.testMorphicTransition - - -contains - - - -Semantics.NIICore.MorphicFieldCategory - -module -MorphicFieldCategory - - - -Semantics.NIICore.MorphicFieldCategory.morphicModeTensorAssociative - -theorem -morphicModeTensorAssociative - - - -Semantics.NIICore.MorphicFieldCategory->Semantics.NIICore.MorphicFieldCategory.morphicModeTensorAssociative - - -contains - - - -Semantics.NIICore.MorphicFieldCategory.functorPreservesIdentity - -theorem -functorPreservesIdentity - - - -Semantics.NIICore.MorphicFieldCategory->Semantics.NIICore.MorphicFieldCategory.functorPreservesIdentity - - -contains - - - -Semantics.NIICore.MorphicFieldCategory.functorPreservesComposition - -theorem -functorPreservesComposition - - - -Semantics.NIICore.MorphicFieldCategory->Semantics.NIICore.MorphicFieldCategory.functorPreservesComposition - - -contains - - - -Semantics.NIICore.MorphicFieldCategory.identityMorphismPreservesCoreId - -theorem -identityMorphismPreservesCoreId - - - -Semantics.NIICore.MorphicFieldCategory->Semantics.NIICore.MorphicFieldCategory.identityMorphismPreservesCoreId - - -contains - - - -Semantics.NIICore.MorphicFieldCategory.compositionPreservesCoreId - -theorem -compositionPreservesCoreId - - - -Semantics.NIICore.MorphicFieldCategory->Semantics.NIICore.MorphicFieldCategory.compositionPreservesCoreId - - -contains - - - -Semantics.NIICore.MorphicFieldCategory.zero - -def -zero - - - -Semantics.NIICore.MorphicFieldCategory->Semantics.NIICore.MorphicFieldCategory.zero - - -contains - - - -Semantics.NIICore.MorphicFieldCategory.one - -def -one - - - -Semantics.NIICore.MorphicFieldCategory->Semantics.NIICore.MorphicFieldCategory.one - - -contains - - - -Semantics.NIICore.MorphicFieldCategory.ofNat - -def -ofNat - - - -Semantics.NIICore.MorphicFieldCategory->Semantics.NIICore.MorphicFieldCategory.ofNat - - -contains - - - -Semantics.NIICore.MorphicFieldCategory.morphicFieldToSemanticStateFunctor - -def -morphicFieldToSemanticStateFunctor - - - -Semantics.NIICore.MorphicFieldCategory->Semantics.NIICore.MorphicFieldCategory.morphicFieldToSemanticStateFunctor - - -contains - - - -Semantics.NIICore.MorphicFieldCategory.morphicModeTensor - -def -morphicModeTensor - - - -Semantics.NIICore.MorphicFieldCategory->Semantics.NIICore.MorphicFieldCategory.morphicModeTensor - - -contains - - - -Semantics.NIICore.MorphicFieldCategory.testCategoryTheoryFormalization - -def -testCategoryTheoryFormalization - - - -Semantics.NIICore.MorphicFieldCategory->Semantics.NIICore.MorphicFieldCategory.testCategoryTheoryFormalization - - -contains - - - -Semantics.NIICore.MorphingTests - -module -MorphingTests - - - -Semantics.NIICore.MorphingTests.zero - -def -zero - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.zero - - -contains - - - -Semantics.NIICore.MorphingTests.one - -def -one - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.one - - -contains - - - -Semantics.NIICore.MorphingTests.ofNat - -def -ofNat - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.ofNat - - -contains - - - -Semantics.NIICore.MorphingTests.mk - -def -mk - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.mk - - -contains - - - -Semantics.NIICore.MorphingTests.passed - -def -passed - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.passed - - -contains - - - -Semantics.NIICore.MorphingTests.failed - -def -failed - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.failed - - -contains - - - -Semantics.NIICore.MorphingTests.testBaseCoresAreNotMorphic - -def -testBaseCoresAreNotMorphic - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.testBaseCoresAreNotMorphic - - -contains - - - -Semantics.NIICore.MorphingTests.testMorphicModesExist - -def -testMorphicModesExist - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.testMorphicModesExist - - -contains - - - -Semantics.NIICore.MorphingTests.testStateTransitionPreservesCoreId - -def -testStateTransitionPreservesCoreId - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.testStateTransitionPreservesCoreId - - -contains - - - -Semantics.NIICore.MorphingTests.testIdleStateHasZeroLoad - -def -testIdleStateHasZeroLoad - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.testIdleStateHasZeroLoad - - -contains - - - -Semantics.NIICore.MorphingTests.testLoadUpdateIncreasesTimestamp - -def -testLoadUpdateIncreasesTimestamp - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.testLoadUpdateIncreasesTimestamp - - -contains - - - -Semantics.NIICore.MorphingTests.testOverloadDetection - -def -testOverloadDetection - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.testOverloadDetection - - -contains - - - -Semantics.NIICore.MorphingTests.testTriggerConditionPriority - -def -testTriggerConditionPriority - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.testTriggerConditionPriority - - -contains - - - -Semantics.NIICore.MorphingTests.testTriggerManagerAddsConditions - -def -testTriggerManagerAddsConditions - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.testTriggerManagerAddsConditions - - -contains - - - -Semantics.NIICore.MorphingTests.runAllTests - -def -runAllTests - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.runAllTests - - -contains - - - -Semantics.NIICore.MorphingTests.countPassed - -def -countPassed - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.countPassed - - -contains - - - -Semantics.NIICore.MorphingTests.countFailed - -def -countFailed - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.countFailed - - -contains - - - -Semantics.NIICore.MorphingTests.countSkipped - -def -countSkipped - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.countSkipped - - -contains - - - -Semantics.NIICore.MorphingTests.totalDuration - -def -totalDuration - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.totalDuration - - -contains - - - -Semantics.NIICore.MorphingTests.allTestsPassed - -def -allTestsPassed - - - -Semantics.NIICore.MorphingTests->Semantics.NIICore.MorphingTests.allTestsPassed - - -contains - - - -Semantics.NIICore.MorphingTriggers - -module -MorphingTriggers - - - -Semantics.NIICore.MorphingTriggers.trigger_condition_priority_positive - -theorem -trigger_condition_priority_positive - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.trigger_condition_priority_positive - - -contains - - - -Semantics.NIICore.MorphingTriggers.morphing_action_confidence_valid - -theorem -morphing_action_confidence_valid - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.morphing_action_confidence_valid - - -contains - - - -Semantics.NIICore.MorphingTriggers.trigger_manager_preserves_conditions - -theorem -trigger_manager_preserves_conditions - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.trigger_manager_preserves_conditions - - -contains - - - -Semantics.NIICore.MorphingTriggers.zero - -def -zero - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.zero - - -contains - - - -Semantics.NIICore.MorphingTriggers.one - -def -one - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.one - - -contains - - - -Semantics.NIICore.MorphingTriggers.ofNat - -def -ofNat - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.ofNat - - -contains - - - -Semantics.NIICore.MorphingTriggers.loadTrigger - -def -loadTrigger - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.loadTrigger - - -contains - - - -Semantics.NIICore.MorphingTriggers.timeTrigger - -def -timeTrigger - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.timeTrigger - - -contains - - - -Semantics.NIICore.MorphingTriggers.eventTrigger - -def -eventTrigger - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.eventTrigger - - -contains - - - -Semantics.NIICore.MorphingTriggers.loadEvent - -def -loadEvent - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.loadEvent - - -contains - - - -Semantics.NIICore.MorphingTriggers.timeEvent - -def -timeEvent - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.timeEvent - - -contains - - - -Semantics.NIICore.MorphingTriggers.externalEvent - -def -externalEvent - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.externalEvent - - -contains - - - -Semantics.NIICore.MorphingTriggers.create - -def -create - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.create - - -contains - - - -Semantics.NIICore.MorphingTriggers.execute - -def -execute - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.execute - - -contains - - - -Semantics.NIICore.MorphingTriggers.initial - -def -initial - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.initial - - -contains - - - -Semantics.NIICore.MorphingTriggers.addCondition - -def -addCondition - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.addCondition - - -contains - - - -Semantics.NIICore.MorphingTriggers.addEvent - -def -addEvent - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.addEvent - - -contains - - - -Semantics.NIICore.MorphingTriggers.addAction - -def -addAction - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.addAction - - -contains - - - -Semantics.NIICore.MorphingTriggers.checkTriggers - -def -checkTriggers - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.checkTriggers - - -contains - - - -Semantics.NIICore.MorphingTriggers.executeActions - -def -executeActions - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.executeActions - - -contains - - - -Semantics.NIICore.MorphingTriggers.testMorphingTriggers - -def -testMorphingTriggers - - - -Semantics.NIICore.MorphingTriggers->Semantics.NIICore.MorphingTriggers.testMorphingTriggers - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation - -module -PredictiveResourceAllocation - - - -Semantics.NIICore.PredictiveResourceAllocation.timeSeriesLengthIncreases - -theorem -timeSeriesLengthIncreases - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.timeSeriesLengthIncreases - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.predictiveControllerPreservesCoreId - -theorem -predictiveControllerPreservesCoreId - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.predictiveControllerPreservesCoreId - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.forecastModelWeightsPreserveCount - -theorem -forecastModelWeightsPreserveCount - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.forecastModelWeightsPreserveCount - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.zero - -def -zero - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.zero - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.one - -def -one - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.one - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.ofNat - -def -ofNat - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.ofNat - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.abs - -def -abs - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.abs - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.empty - -def -empty - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.empty - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.addPoint - -def -addPoint - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.addPoint - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.latest - -def -latest - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.latest - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.movingAverage - -def -movingAverage - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.movingAverage - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.trend - -def -trend - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.trend - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.initial - -def -initial - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.initial - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.predict - -def -predict - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.predict - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.updateWeights - -def -updateWeights - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.updateWeights - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.create - -def -create - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.create - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.recordLoad - -def -recordLoad - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.recordLoad - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.predictFutureLoad - -def -predictFutureLoad - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.predictFutureLoad - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.preemptiveMorphing - -def -preemptiveMorphing - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.preemptiveMorphing - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.updateAllocation - -def -updateAllocation - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.updateAllocation - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.updateModel - -def -updateModel - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.updateModel - - -contains - - - -Semantics.NIICore.PredictiveResourceAllocation.testPredictiveAllocation - -def -testPredictiveAllocation - - - -Semantics.NIICore.PredictiveResourceAllocation->Semantics.NIICore.PredictiveResourceAllocation.testPredictiveAllocation - - -contains - - - -Semantics.NIICore.SemanticAnalysis - -module -SemanticAnalysis - - - -Semantics.NIICore.SemanticAnalysis.totalVariantCountCorrect - -theorem -totalVariantCountCorrect - - - -Semantics.NIICore.SemanticAnalysis->Semantics.NIICore.SemanticAnalysis.totalVariantCountCorrect - - -contains - - - -Semantics.NIICore.SemanticAnalysis.emptyExtractionZeroVariants - -theorem -emptyExtractionZeroVariants - - - -Semantics.NIICore.SemanticAnalysis->Semantics.NIICore.SemanticAnalysis.emptyExtractionZeroVariants - - -contains - - - -Semantics.NIICore.SemanticAnalysis.geometricScoreBounded - -theorem -geometricScoreBounded - - - -Semantics.NIICore.SemanticAnalysis->Semantics.NIICore.SemanticAnalysis.geometricScoreBounded - - -contains - - - -Semantics.NIICore.SemanticAnalysis.PatternRecognizer - -def -PatternRecognizer - - - -Semantics.NIICore.SemanticAnalysis->Semantics.NIICore.SemanticAnalysis.PatternRecognizer - - -contains - - - -Semantics.NIICore.SemanticAnalysis.totalVariantCount - -def -totalVariantCount - - - -Semantics.NIICore.SemanticAnalysis->Semantics.NIICore.SemanticAnalysis.totalVariantCount - - -contains - - - -Semantics.NIICore.SemanticAnalysis.averageDecoderComplexity - -def -averageDecoderComplexity - - - -Semantics.NIICore.SemanticAnalysis->Semantics.NIICore.SemanticAnalysis.averageDecoderComplexity - - -contains - - - -Semantics.NIICore.SemanticAnalysis.analyzeExtractionWithSwarm - -def -analyzeExtractionWithSwarm - - - -Semantics.NIICore.SemanticAnalysis->Semantics.NIICore.SemanticAnalysis.analyzeExtractionWithSwarm - - -contains - - - -Semantics.NIICore.SemanticAnalysis.exampleVariant - -def -exampleVariant - - - -Semantics.NIICore.SemanticAnalysis->Semantics.NIICore.SemanticAnalysis.exampleVariant - - -contains - - - -Semantics.NIICore.SemanticAnalysis.exampleEnum - -def -exampleEnum - - - -Semantics.NIICore.SemanticAnalysis->Semantics.NIICore.SemanticAnalysis.exampleEnum - - -contains - - - -Semantics.NIICore.SemanticAnalysis.exampleMatchArm - -def -exampleMatchArm - - - -Semantics.NIICore.SemanticAnalysis->Semantics.NIICore.SemanticAnalysis.exampleMatchArm - - -contains - - - -Semantics.NIICore.SemanticAnalysis.exampleDecoder - -def -exampleDecoder - - - -Semantics.NIICore.SemanticAnalysis->Semantics.NIICore.SemanticAnalysis.exampleDecoder - - -contains - - - -Semantics.NIICore.SemanticAnalysis.exampleExtraction - -def -exampleExtraction - - - -Semantics.NIICore.SemanticAnalysis->Semantics.NIICore.SemanticAnalysis.exampleExtraction - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem - -module -SemanticCapabilitySystem - - - -Semantics.NIICore.SemanticCapabilitySystem.capability_set_complete - -theorem -capability_set_complete - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.capability_set_complete - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.proficiency_non_negative - -theorem -proficiency_non_negative - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.proficiency_non_negative - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.active_capability_increases_active_count - -theorem -active_capability_increases_active_count - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.active_capability_increases_active_count - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.capability_assignment_updates_timestamp - -theorem -capability_assignment_updates_timestamp - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.capability_assignment_updates_timestamp - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.zero - -def -zero - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.zero - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.one - -def -one - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.one - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.ofNat - -def -ofNat - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.ofNat - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.allDomains - -def -allDomains - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.allDomains - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.domainCount - -def -domainCount - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.domainCount - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.mk - -def -mk - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.mk - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.mk - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.defaultCapability - -def -defaultCapability - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.defaultCapability - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.maxCapability - -def -maxCapability - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.maxCapability - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.empty - -def -empty - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.empty - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.addCapability - -def -addCapability - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.addCapability - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.fromDomains - -def -fromDomains - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.fromDomains - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.defaultCapabilitySet - -def -defaultCapabilitySet - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.defaultCapabilitySet - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.hasCapability - -def -hasCapability - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.hasCapability - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.getCapability - -def -getCapability - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.getCapability - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.updateCapability - -def -updateCapability - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.updateCapability - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.assignDomain - -def -assignDomain - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.assignDomain - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.revokeDomain - -def -revokeDomain - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.revokeDomain - - -contains - - - -Semantics.NIICore.SemanticCapabilitySystem.testCapabilitySystem - -def -testCapabilitySystem - - - -Semantics.NIICore.SemanticCapabilitySystem->Semantics.NIICore.SemanticCapabilitySystem.testCapabilitySystem - - -contains - - - -Semantics.NIICore.SemanticRGFlow - -module -SemanticRGFlow - - - -Semantics.NIICore.SemanticRGFlow->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.NIICore.SemanticRGFlow.minimalMIImpliesBetaZero - -theorem -minimalMIImpliesBetaZero - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.minimalMIImpliesBetaZero - - -contains - - - -Semantics.NIICore.SemanticRGFlow.zero - -def -zero - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.zero - - -contains - - - -Semantics.NIICore.SemanticRGFlow.one - -def -one - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.one - - -contains - - - -Semantics.NIICore.SemanticRGFlow.ofNat - -def -ofNat - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.ofNat - - -contains - - - -Semantics.NIICore.SemanticRGFlow.abs - -def -abs - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.abs - - -contains - - - -Semantics.NIICore.SemanticRGFlow.applyDecimation - -def -applyDecimation - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.applyDecimation - - -contains - - - -Semantics.NIICore.SemanticRGFlow.computeBetaFunction - -def -computeBetaFunction - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.computeBetaFunction - - -contains - - - -Semantics.NIICore.SemanticRGFlow.applyRGFlow - -def -applyRGFlow - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.applyRGFlow - - -contains - - - -Semantics.NIICore.SemanticRGFlow.computeBasinGeometry - -def -computeBasinGeometry - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.computeBasinGeometry - - -contains - - - -Semantics.NIICore.SemanticRGFlow.performAttractorDescent - -def -performAttractorDescent - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.performAttractorDescent - - -contains - - - -Semantics.NIICore.SemanticRGFlow.verifySemanticSheafConsistency - -def -verifySemanticSheafConsistency - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.verifySemanticSheafConsistency - - -contains - - - -Semantics.NIICore.SemanticRGFlow.defaultLatentVector - -def -defaultLatentVector - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.defaultLatentVector - - -contains - - - -Semantics.NIICore.SemanticRGFlow.defaultSemanticField - -def -defaultSemanticField - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.defaultSemanticField - - -contains - - - -Semantics.NIICore.SemanticRGFlow.applyDecimationAndShow - -def -applyDecimationAndShow - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.applyDecimationAndShow - - -contains - - - -Semantics.NIICore.SemanticRGFlow.performAttractorDescentAndShow - -def -performAttractorDescentAndShow - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.performAttractorDescentAndShow - - -contains - - - -Semantics.NIICore.SemanticRGFlow.runRGFlowTest - -def -runRGFlowTest - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.runRGFlowTest - - -contains - - - -Semantics.NIICore.SemanticRGFlow.printRGFlowTestResults - -def -printRGFlowTestResults - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.printRGFlowTestResults - - -contains - - - -Semantics.NIICore.SemanticRGFlow.main - -def -main - - - -Semantics.NIICore.SemanticRGFlow->Semantics.NIICore.SemanticRGFlow.main - - -contains - - - -Semantics.NIICore.SemanticStateMorphism - -module -SemanticStateMorphism - - - -Semantics.NIICore.SemanticStateMorphism.transition_cost_non_negative - -theorem -transition_cost_non_negative - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.transition_cost_non_negative - - -contains - - - -Semantics.NIICore.SemanticStateMorphism.state_machine_preserves_core_id - -theorem -state_machine_preserves_core_id - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.state_machine_preserves_core_id - - -contains - - - -Semantics.NIICore.SemanticStateMorphism.idle_state_has_zero_cognitive_load - -theorem -idle_state_has_zero_cognitive_load - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.idle_state_has_zero_cognitive_load - - -contains - - - -Semantics.NIICore.SemanticStateMorphism.zero - -def -zero - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.zero - - -contains - - - -Semantics.NIICore.SemanticStateMorphism.one - -def -one - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.one - - -contains - - - -Semantics.NIICore.SemanticStateMorphism.ofNat - -def -ofNat - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.ofNat - - -contains - - - -Semantics.NIICore.SemanticStateMorphism.initial - -def -initial - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.initial - - -contains - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.initial - - -contains - - - -Semantics.NIICore.SemanticStateMorphism.transitionTo - -def -transitionTo - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.transitionTo - - -contains - - - -Semantics.NIICore.SemanticStateMorphism.setIdle - -def -setIdle - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.setIdle - - -contains - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.setIdle - - -contains - - - -Semantics.NIICore.SemanticStateMorphism.setError - -def -setError - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.setError - - -contains - - - -Semantics.NIICore.SemanticStateMorphism.calculate - -def -calculate - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.calculate - - -contains - - - -Semantics.NIICore.SemanticStateMorphism.isTransitionValid - -def -isTransitionValid - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.isTransitionValid - - -contains - - - -Semantics.NIICore.SemanticStateMorphism.transition - -def -transition - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.transition - - -contains - - - -Semantics.NIICore.SemanticStateMorphism.canTransition - -def -canTransition - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.canTransition - - -contains - - - -Semantics.NIICore.SemanticStateMorphism.testStateMachine - -def -testStateMachine - - - -Semantics.NIICore.SemanticStateMorphism->Semantics.NIICore.SemanticStateMorphism.testStateMachine - - -contains - - - -Semantics.NIICore.SheafPersistentRGHybrid - -module -SheafPersistentRGHybrid - - - -Semantics.NIICore.SheafPersistentRGHybrid->Mathlib - - -imports - - - -Semantics.NIICore.SheafPersistentRGHybrid.Q16_16 - -def -Q16_16 - - - -Semantics.NIICore.SheafPersistentRGHybrid->Semantics.NIICore.SheafPersistentRGHybrid.Q16_16 - - -contains - - - -Semantics.NIICore.SheafPersistentRGHybrid->Semantics.NIICore.SheafPersistentRGHybrid.Q16_16 - - -contains - - - -Semantics.NIICore.SheafPersistentRGHybrid->Semantics.NIICore.SheafPersistentRGHybrid.Q16_16 - - -contains - - - -Semantics.NIICore.SheafPersistentRGHybrid->Semantics.NIICore.SheafPersistentRGHybrid.Q16_16 - - -contains - - - -Semantics.NIICore.SheafPersistentRGHybrid->Semantics.NIICore.SheafPersistentRGHybrid.Q16_16 - - -contains - - - -Semantics.NIICore.SheafPersistentRGHybrid.defaultSheafPersistentRGHybrid - -def -defaultSheafPersistentRGHybrid - - - -Semantics.NIICore.SheafPersistentRGHybrid->Semantics.NIICore.SheafPersistentRGHybrid.defaultSheafPersistentRGHybrid - - -contains - - - -Semantics.NIICore.SheafPersistentRGHybrid.defaultMorphicStateHybrid - -def -defaultMorphicStateHybrid - - - -Semantics.NIICore.SheafPersistentRGHybrid->Semantics.NIICore.SheafPersistentRGHybrid.defaultMorphicStateHybrid - - -contains - - - -Semantics.NIICore.SheafPersistentRGHybrid.verifyMorphicTransitionHybrid - -def -verifyMorphicTransitionHybrid - - - -Semantics.NIICore.SheafPersistentRGHybrid->Semantics.NIICore.SheafPersistentRGHybrid.verifyMorphicTransitionHybrid - - -contains - - - -Semantics.NIICore.SheafPersistentRGHybrid.runHybridConsistencyTest - -def -runHybridConsistencyTest - - - -Semantics.NIICore.SheafPersistentRGHybrid->Semantics.NIICore.SheafPersistentRGHybrid.runHybridConsistencyTest - - -contains - - - -Semantics.NIICore.SheafPersistentRGHybrid.printHybridTestResults - -def -printHybridTestResults - - - -Semantics.NIICore.SheafPersistentRGHybrid->Semantics.NIICore.SheafPersistentRGHybrid.printHybridTestResults - - -contains - - - -Semantics.NIICore.SheafPersistentRGHybrid.main - -def -main - - - -Semantics.NIICore.SheafPersistentRGHybrid->Semantics.NIICore.SheafPersistentRGHybrid.main - - -contains - - - -Semantics.NIICore.SurfaceDriver - -module -SurfaceDriver - - - -Semantics.NIICore.SurfaceDriver.sssConstantBounded - -theorem -sssConstantBounded - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.sssConstantBounded - - -contains - - - -Semantics.NIICore.SurfaceDriver.effectiveVelocityBounded - -theorem -effectiveVelocityBounded - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.effectiveVelocityBounded - - -contains - - - -Semantics.NIICore.SurfaceDriver.warpMetricNonNegative - -theorem -warpMetricNonNegative - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.warpMetricNonNegative - - -contains - - - -Semantics.NIICore.SurfaceDriver.slipThresholdMonotonic - -theorem -slipThresholdMonotonic - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.slipThresholdMonotonic - - -contains - - - -Semantics.NIICore.SurfaceDriver.computeSSS - -def -computeSSS - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.computeSSS - - -contains - - - -Semantics.NIICore.SurfaceDriver.isSlipThresholdCrossed - -def -isSlipThresholdCrossed - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.isSlipThresholdCrossed - - -contains - - - -Semantics.NIICore.SurfaceDriver.computeWarp - -def -computeWarp - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.computeWarp - - -contains - - - -Semantics.NIICore.SurfaceDriver.computeEffectiveVelocity - -def -computeEffectiveVelocity - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.computeEffectiveVelocity - - -contains - - - -Semantics.NIICore.SurfaceDriver.computeWarpMetric - -def -computeWarpMetric - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.computeWarpMetric - - -contains - - - -Semantics.NIICore.SurfaceDriver.computeFAMMLoad - -def -computeFAMMLoad - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.computeFAMMLoad - - -contains - - - -Semantics.NIICore.SurfaceDriver.makeScheduleDecision - -def -makeScheduleDecision - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.makeScheduleDecision - - -contains - - - -Semantics.NIICore.SurfaceDriver.adaptTopology - -def -adaptTopology - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.adaptTopology - - -contains - - - -Semantics.NIICore.SurfaceDriver.initSurfaceDriver - -def -initSurfaceDriver - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.initSurfaceDriver - - -contains - - - -Semantics.NIICore.SurfaceDriver.executeWorkItem - -def -executeWorkItem - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.executeWorkItem - - -contains - - - -Semantics.NIICore.SurfaceDriver.exampleSSSConstant - -def -exampleSSSConstant - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.exampleSSSConstant - - -contains - - - -Semantics.NIICore.SurfaceDriver.exampleSlipCondition - -def -exampleSlipCondition - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.exampleSlipCondition - - -contains - - - -Semantics.NIICore.SurfaceDriver.exampleWarpFunction - -def -exampleWarpFunction - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.exampleWarpFunction - - -contains - - - -Semantics.NIICore.SurfaceDriver.exampleEffectiveVelocity - -def -exampleEffectiveVelocity - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.exampleEffectiveVelocity - - -contains - - - -Semantics.NIICore.SurfaceDriver.exampleWarpMetric - -def -exampleWarpMetric - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.exampleWarpMetric - - -contains - - - -Semantics.NIICore.SurfaceDriver.exampleSurfaceDriver - -def -exampleSurfaceDriver - - - -Semantics.NIICore.SurfaceDriver->Semantics.NIICore.SurfaceDriver.exampleSurfaceDriver - - -contains - - - -Semantics.NIICore.TranslationEngine - -module -TranslationEngine - - - -Semantics.NIICore.TranslationEngine.primitiveTypesMapped - -theorem -primitiveTypesMapped - - - -Semantics.NIICore.TranslationEngine->Semantics.NIICore.TranslationEngine.primitiveTypesMapped - - -contains - - - -Semantics.NIICore.TranslationEngine.unknownTypesMarked - -theorem -unknownTypesMarked - - - -Semantics.NIICore.TranslationEngine->Semantics.NIICore.TranslationEngine.unknownTypesMarked - - -contains - - - -Semantics.NIICore.TranslationEngine.geometricScoreBounded - -theorem -geometricScoreBounded - - - -Semantics.NIICore.TranslationEngine->Semantics.NIICore.TranslationEngine.geometricScoreBounded - - -contains - - - -Semantics.NIICore.TranslationEngine.primitiveMappings - -def -primitiveMappings - - - -Semantics.NIICore.TranslationEngine->Semantics.NIICore.TranslationEngine.primitiveMappings - - -contains - - - -Semantics.NIICore.TranslationEngine.translateType - -def -translateType - - - -Semantics.NIICore.TranslationEngine->Semantics.NIICore.TranslationEngine.translateType - - -contains - - - -Semantics.NIICore.TranslationEngine.translateVariant - -def -translateVariant - - - -Semantics.NIICore.TranslationEngine->Semantics.NIICore.TranslationEngine.translateVariant - - -contains - - - -Semantics.NIICore.TranslationEngine.translateEnum - -def -translateEnum - - - -Semantics.NIICore.TranslationEngine->Semantics.NIICore.TranslationEngine.translateEnum - - -contains - - - -Semantics.NIICore.TranslationEngine.translateMatchArm - -def -translateMatchArm - - - -Semantics.NIICore.TranslationEngine->Semantics.NIICore.TranslationEngine.translateMatchArm - - -contains - - - -Semantics.NIICore.TranslationEngine.translateDecoder - -def -translateDecoder - - - -Semantics.NIICore.TranslationEngine->Semantics.NIICore.TranslationEngine.translateDecoder - - -contains - - - -Semantics.NIICore.TranslationEngine.exampleInductiveConstructor - -def -exampleInductiveConstructor - - - -Semantics.NIICore.TranslationEngine->Semantics.NIICore.TranslationEngine.exampleInductiveConstructor - - -contains - - - -Semantics.NIICore.TranslationEngine.exampleInductiveType - -def -exampleInductiveType - - - -Semantics.NIICore.TranslationEngine->Semantics.NIICore.TranslationEngine.exampleInductiveType - - -contains - - - -Semantics.NIICore.TranslationEngine.exampleLeanFunction - -def -exampleLeanFunction - - - -Semantics.NIICore.TranslationEngine->Semantics.NIICore.TranslationEngine.exampleLeanFunction - - -contains - - - -Semantics.NIICore.UncertaintyMetaPredictiveDifferential - -module -UncertaintyMetaPredictiveDifferential - - - -Semantics.NIICore.UncertaintyMetaPredictiveDifferential->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.NIICore.UncertaintyMetaPredictiveDifferential.zero - -def -zero - - - -Semantics.NIICore.UncertaintyMetaPredictiveDifferential->Semantics.NIICore.UncertaintyMetaPredictiveDifferential.zero - - -contains - - - -Semantics.NIICore.UncertaintyMetaPredictiveDifferential.one - -def -one - - - -Semantics.NIICore.UncertaintyMetaPredictiveDifferential->Semantics.NIICore.UncertaintyMetaPredictiveDifferential.one - - -contains - - - -Semantics.NIICore.UncertaintyMetaPredictiveDifferential.ofNat - -def -ofNat - - - -Semantics.NIICore.UncertaintyMetaPredictiveDifferential->Semantics.NIICore.UncertaintyMetaPredictiveDifferential.ofNat - - -contains - - - -Semantics.NIICore.UncertaintyMetaPredictiveDifferential.abs - -def -abs - - - -Semantics.NIICore.UncertaintyMetaPredictiveDifferential->Semantics.NIICore.UncertaintyMetaPredictiveDifferential.abs - - -contains - - - -Semantics.NIICore.UncertaintyMetaPredictiveDifferential.executeHybridActionLogic - -def -executeHybridActionLogic - - - -Semantics.NIICore.UncertaintyMetaPredictiveDifferential->Semantics.NIICore.UncertaintyMetaPredictiveDifferential.executeHybridActionLogic - - -contains - - - -Semantics.NIICore.UncertaintyMetaPredictiveDifferential.runHybridTest - -def -runHybridTest - - - -Semantics.NIICore.UncertaintyMetaPredictiveDifferential->Semantics.NIICore.UncertaintyMetaPredictiveDifferential.runHybridTest - - -contains - - - -Semantics.NIICore.UncertaintyQuantification - -module -UncertaintyQuantification - - - -Semantics.NIICore.UncertaintyQuantification.uncertaintyEstimateSamplesIncrease - -theorem -uncertaintyEstimateSamplesIncrease - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.uncertaintyEstimateSamplesIncrease - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.uncertaintyEstimateConfidenceNonDecreasing - -theorem -uncertaintyEstimateConfidenceNonDecreasi - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.uncertaintyEstimateConfidenceNonDecreasing - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.uncertaintyAwareControllerPreservesCoreId - -theorem -uncertaintyAwareControllerPreservesCoreI - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.uncertaintyAwareControllerPreservesCoreId - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.differentialAttentionDiffIsDifference - -theorem -differentialAttentionDiffIsDifference - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.differentialAttentionDiffIsDifference - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.zero - -def -zero - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.zero - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.one - -def -one - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.one - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.ofNat - -def -ofNat - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.ofNat - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.initial - -def -initial - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.initial - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.updateSample - -def -updateSample - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.updateSample - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.standardDeviation - -def -standardDeviation - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.standardDeviation - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.isReliable - -def -isReliable - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.isReliable - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.getUncertainty - -def -getUncertainty - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.getUncertainty - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.isReliableDecision - -def -isReliableDecision - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.isReliableDecision - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.create - -def -create - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.create - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.evaluateMorphing - -def -evaluateMorphing - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.evaluateMorphing - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.updateUncertainty - -def -updateUncertainty - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.updateUncertainty - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.executeDecision - -def -executeDecision - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.executeDecision - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.compute - -def -compute - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.compute - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.isSignificantChange - -def -isSignificantChange - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.isSignificantChange - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.uncertaintyAdjustedDiff - -def -uncertaintyAdjustedDiff - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.uncertaintyAdjustedDiff - - -contains - - - -Semantics.NIICore.UncertaintyQuantification.testUncertaintyQuantification - -def -testUncertaintyQuantification - - - -Semantics.NIICore.UncertaintyQuantification->Semantics.NIICore.UncertaintyQuantification.testUncertaintyQuantification - - -contains - - - -Semantics.NIICore.Verification - -module -Verification - - - -Semantics.NIICore.Verification.provedNotExceedTotal - -theorem -provedNotExceedTotal - - - -Semantics.NIICore.Verification->Semantics.NIICore.Verification.provedNotExceedTotal - - -contains - - - -Semantics.NIICore.Verification.fullCoverageAllProved - -theorem -fullCoverageAllProved - - - -Semantics.NIICore.Verification->Semantics.NIICore.Verification.fullCoverageAllProved - - -contains - - - -Semantics.NIICore.Verification.emptyReportFullCoverage - -theorem -emptyReportFullCoverage - - - -Semantics.NIICore.Verification->Semantics.NIICore.Verification.emptyReportFullCoverage - - -contains - - - -Semantics.NIICore.Verification.geometricScoreBounded - -theorem -geometricScoreBounded - - - -Semantics.NIICore.Verification->Semantics.NIICore.Verification.geometricScoreBounded - - -contains - - - -Semantics.NIICore.Verification.generateTotalObligation - -def -generateTotalObligation - - - -Semantics.NIICore.Verification->Semantics.NIICore.Verification.generateTotalObligation - - -contains - - - -Semantics.NIICore.Verification.generateInverseObligation - -def -generateInverseObligation - - - -Semantics.NIICore.Verification->Semantics.NIICore.Verification.generateInverseObligation - - -contains - - - -Semantics.NIICore.Verification.countProved - -def -countProved - - - -Semantics.NIICore.Verification->Semantics.NIICore.Verification.countProved - - -contains - - - -Semantics.NIICore.Verification.verificationCoverage - -def -verificationCoverage - - - -Semantics.NIICore.Verification->Semantics.NIICore.Verification.verificationCoverage - - -contains - - - -Semantics.NIICore.Verification.verifyTranslationUnit - -def -verifyTranslationUnit - - - -Semantics.NIICore.Verification->Semantics.NIICore.Verification.verifyTranslationUnit - - -contains - - - -Semantics.NIICore.Verification.exampleObligation - -def -exampleObligation - - - -Semantics.NIICore.Verification->Semantics.NIICore.Verification.exampleObligation - - -contains - - - -Semantics.NIICore.Verification.exampleFunctionVerification - -def -exampleFunctionVerification - - - -Semantics.NIICore.Verification->Semantics.NIICore.Verification.exampleFunctionVerification - - -contains - - - -Semantics.NIICore.Verification.exampleFFIVerification - -def -exampleFFIVerification - - - -Semantics.NIICore.Verification->Semantics.NIICore.Verification.exampleFFIVerification - - -contains - - - -Semantics.NIICore.Verification.exampleVerificationReport - -def -exampleVerificationReport - - - -Semantics.NIICore.Verification->Semantics.NIICore.Verification.exampleVerificationReport - - -contains - - - -Semantics.NIICore - -module -NIICore - - - -Semantics.NIICore.capableCoreCanProcess - -theorem -capableCoreCanProcess - - - -Semantics.NIICore->Semantics.NIICore.capableCoreCanProcess - - -contains - - - -Semantics.NIICore.geometricEfficiencyBounded - -theorem -geometricEfficiencyBounded - - - -Semantics.NIICore->Semantics.NIICore.geometricEfficiencyBounded - - -contains - - - -Semantics.NIICore.CoreRegistry - -def -CoreRegistry - - - -Semantics.NIICore->Semantics.NIICore.CoreRegistry - - -contains - - - -Semantics.NIICore.findCapable - -def -findCapable - - - -Semantics.NIICore->Semantics.NIICore.findCapable - - -contains - - - -Semantics.NIICore.registryCapacity - -def -registryCapacity - - - -Semantics.NIICore->Semantics.NIICore.registryCapacity - - -contains - - - -Semantics.NIICore.deriveNIITiming - -def -deriveNIITiming - - - -Semantics.NIICore->Semantics.NIICore.deriveNIITiming - - -contains - - - -Semantics.NIICore.analyzeNIICores - -def -analyzeNIICores - - - -Semantics.NIICore->Semantics.NIICore.analyzeNIICores - - -contains - - - -Semantics.NIICore.exampleWorkItem - -def -exampleWorkItem - - - -Semantics.NIICore->Semantics.NIICore.exampleWorkItem - - -contains - - - -Semantics.NIICore.exampleCapability - -def -exampleCapability - - - -Semantics.NIICore->Semantics.NIICore.exampleCapability - - -contains - - - -Semantics.NKHodgeFAMM - -module -NKHodgeFAMM - - - -Semantics.NKHodgeFAMM.velocity_bounded_from_topology - -theorem -velocity_bounded_from_topology - - - -Semantics.NKHodgeFAMM->Semantics.NKHodgeFAMM.velocity_bounded_from_topology - - -contains - - - -Semantics.NKHodgeFAMM.scar_dissipation_regime - -theorem -scar_dissipation_regime - - - -Semantics.NKHodgeFAMM->Semantics.NKHodgeFAMM.scar_dissipation_regime - - -contains - - - -Semantics.NKHodgeFAMM.cole_hopf_identity - -theorem -cole_hopf_identity - - - -Semantics.NKHodgeFAMM->Semantics.NKHodgeFAMM.cole_hopf_identity - - -contains - - - -Semantics.NKHodgeFAMM.ν_eff_ge_ν₀ - -theorem -ν_eff_ge_ν₀ - - - -Semantics.NKHodgeFAMM->Semantics.NKHodgeFAMM.ν_eff_ge_ν₀ - - -contains - - - -Semantics.NKHodgeFAMM.dq_energy_satisfies_scar_condition - -theorem -dq_energy_satisfies_scar_condition - - - -Semantics.NKHodgeFAMM->Semantics.NKHodgeFAMM.dq_energy_satisfies_scar_condition - - -contains - - - -Semantics.NKHodgeFAMM.burgers_embedding_satisfies_nk_hodge_famm - -theorem -burgers_embedding_satisfies_nk_hodge_fam - - - -Semantics.NKHodgeFAMM->Semantics.NKHodgeFAMM.burgers_embedding_satisfies_nk_hodge_famm - - -contains - - - -Semantics.NKHodgeFAMM.ν_eff_from_dq_energy - -theorem -ν_eff_from_dq_energy - - - -Semantics.NKHodgeFAMM->Semantics.NKHodgeFAMM.ν_eff_from_dq_energy - - -contains - - - -Semantics.NKHodgeFAMM.scarDensityFromDQ_nonneg - -theorem -scarDensityFromDQ_nonneg - - - -Semantics.NKHodgeFAMM->Semantics.NKHodgeFAMM.scarDensityFromDQ_nonneg - - -contains - - - -Semantics.NKHodgeFAMM.burgers_energy_bounded_if_beta2_zero - -theorem -burgers_energy_bounded_if_beta2_zero - - - -Semantics.NKHodgeFAMM->Semantics.NKHodgeFAMM.burgers_energy_bounded_if_beta2_zero - - -contains - - - -Semantics.NKHodgeFAMM.scarSupport - -def -scarSupport - - - -Semantics.NKHodgeFAMM->Semantics.NKHodgeFAMM.scarSupport - - -contains - - - -Semantics.NKHodgeFAMM.nkBaseline - -def -nkBaseline - - - -Semantics.NKHodgeFAMM->Semantics.NKHodgeFAMM.nkBaseline - - -contains - - - -Semantics.NNonEuclideanGeometry - -module -NNonEuclideanGeometry - - - -Semantics.NNonEuclideanGeometry.phiWeightsBounded - -theorem -phiWeightsBounded - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.phiWeightsBounded - - -contains - - - -Semantics.NNonEuclideanGeometry.phiWeightedDistanceSymmetric - -theorem -phiWeightedDistanceSymmetric - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.phiWeightedDistanceSymmetric - - -contains - - - -Semantics.NNonEuclideanGeometry.straightLineWritheZero - -theorem -straightLineWritheZero - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.straightLineWritheZero - - -contains - - - -Semantics.NNonEuclideanGeometry.phi - -def -phi - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.phi - - -contains - - - -Semantics.NNonEuclideanGeometry.cosQtrPi - -def -cosQtrPi - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.cosQtrPi - - -contains - - - -Semantics.NNonEuclideanGeometry.half - -def -half - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.half - - -contains - - - -Semantics.NNonEuclideanGeometry.dOblique - -def -dOblique - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.dOblique - - -contains - - - -Semantics.NNonEuclideanGeometry.fromArray - -def -fromArray - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.fromArray - - -contains - - - -Semantics.NNonEuclideanGeometry.getCoord - -def -getCoord - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.getCoord - - -contains - - - -Semantics.NNonEuclideanGeometry.euclideanDistance - -def -euclideanDistance - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.euclideanDistance - - -contains - - - -Semantics.NNonEuclideanGeometry.obliqueProjectND - -def -obliqueProjectND - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.obliqueProjectND - - -contains - - - -Semantics.NNonEuclideanGeometry.parallelTransportWritheND - -def -parallelTransportWritheND - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.parallelTransportWritheND - - -contains - - - -Semantics.NNonEuclideanGeometry.phiWeightsND - -def -phiWeightsND - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.phiWeightsND - - -contains - - - -Semantics.NNonEuclideanGeometry.phiWeightedDistSqND - -def -phiWeightedDistSqND - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.phiWeightedDistSqND - - -contains - - - -Semantics.NNonEuclideanGeometry.maxJumpThreshold - -def -maxJumpThreshold - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.maxJumpThreshold - - -contains - - - -Semantics.NNonEuclideanGeometry.maxWrithe - -def -maxWrithe - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.maxWrithe - - -contains - - - -Semantics.NNonEuclideanGeometry.validatePathND - -def -validatePathND - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.validatePathND - - -contains - - - -Semantics.NNonEuclideanGeometry.phiWeightedDistSymmetric - -def -phiWeightedDistSymmetric - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.phiWeightedDistSymmetric - - -contains - - - -Semantics.NNonEuclideanGeometry.straightLineWritheZeroND - -def -straightLineWritheZeroND - - - -Semantics.NNonEuclideanGeometry->Semantics.NNonEuclideanGeometry.straightLineWritheZeroND - - -contains - - - -Semantics.NS_MD - -module -NS_MD - - - -Semantics.NS_MD.ManifoldState - -def -ManifoldState - - - -Semantics.NS_MD->Semantics.NS_MD.ManifoldState - - -contains - - - -Semantics.NS_MD.applySwitch - -def -applySwitch - - - -Semantics.NS_MD->Semantics.NS_MD.applySwitch - - -contains - - - -Semantics.NS_MD.replay - -def -replay - - - -Semantics.NS_MD->Semantics.NS_MD.replay - - -contains - - - -Semantics.NS_MD.dotProduct - -def -dotProduct - - - -Semantics.NS_MD->Semantics.NS_MD.dotProduct - - -contains - - - -Semantics.NS_MD.is_epsilon_orthogonal - -def -is_epsilon_orthogonal - - - -Semantics.NS_MD->Semantics.NS_MD.is_epsilon_orthogonal - - -contains - - - -Semantics.NS_MD.admit - -def -admit - - - -Semantics.NS_MD->Semantics.NS_MD.admit - - -contains - - - -Semantics.NS_MD.residual_bound_ok - -def -residual_bound_ok - - - -Semantics.NS_MD->Semantics.NS_MD.residual_bound_ok - - -contains - - - -Semantics.NS_MD.basis_size_ok - -def -basis_size_ok - - - -Semantics.NS_MD->Semantics.NS_MD.basis_size_ok - - -contains - - - -Semantics.NS_MD.orthogonality_ok - -def -orthogonality_ok - - - -Semantics.NS_MD->Semantics.NS_MD.orthogonality_ok - - -contains - - - -Semantics.NS_MD.O_AMMR_valid - -def -O_AMMR_valid - - - -Semantics.NS_MD->Semantics.NS_MD.O_AMMR_valid - - -contains - - - -Semantics.NS_MD.project - -def -project - - - -Semantics.NS_MD->Semantics.NS_MD.project - - -contains - - - -Semantics.NS_MD.is_multi_verified - -def -is_multi_verified - - - -Semantics.NS_MD->Semantics.NS_MD.is_multi_verified - - -contains - - - -Semantics.NS_MD.get_control_state - -def -get_control_state - - - -Semantics.NS_MD->Semantics.NS_MD.get_control_state - - -contains - - - -Semantics.NS_MD.get_domain_selector - -def -get_domain_selector - - - -Semantics.NS_MD->Semantics.NS_MD.get_domain_selector - - -contains - - - -Semantics.NS_MD.decode_rep - -def -decode_rep - - - -Semantics.NS_MD->Semantics.NS_MD.decode_rep - - -contains - - - -Semantics.NS_MD.replay_rep - -def -replay_rep - - - -Semantics.NS_MD->Semantics.NS_MD.replay_rep - - -contains - - - -Semantics.NUVMATH - -module -NUVMATH - - - -Semantics.NUVMATH.atomicStateEmitOpen - -theorem -atomicStateEmitOpen - - - -Semantics.NUVMATH->Semantics.NUVMATH.atomicStateEmitOpen - - -contains - - - -Semantics.NUVMATH.atomicStateAuditMatchesEnergy - -theorem -atomicStateAuditMatchesEnergy - - - -Semantics.NUVMATH->Semantics.NUVMATH.atomicStateAuditMatchesEnergy - - -contains - - - -Semantics.NUVMATH.hairballSafety - -theorem -hairballSafety - - - -Semantics.NUVMATH->Semantics.NUVMATH.hairballSafety - - -contains - - - -Semantics.NUVMATH.boundaryCellDefers - -theorem -boundaryCellDefers - - - -Semantics.NUVMATH->Semantics.NUVMATH.boundaryCellDefers - - -contains - - - -Semantics.NUVMATH.throatCellAccepted - -theorem -throatCellAccepted - - - -Semantics.NUVMATH->Semantics.NUVMATH.throatCellAccepted - - -contains - - - -Semantics.NUVMATH.combTargetAtK3Throat - -theorem -combTargetAtK3Throat - - - -Semantics.NUVMATH->Semantics.NUVMATH.combTargetAtK3Throat - - -contains - - - -Semantics.NUVMATH.adaptiveBoundaryAttemptDefers - -theorem -adaptiveBoundaryAttemptDefers - - - -Semantics.NUVMATH->Semantics.NUVMATH.adaptiveBoundaryAttemptDefers - - -contains - - - -Semantics.NUVMATH.shellBoundaryEnergyInvariant - -theorem -shellBoundaryEnergyInvariant - - - -Semantics.NUVMATH->Semantics.NUVMATH.shellBoundaryEnergyInvariant - - -contains - - - -Semantics.NUVMATH.shellBoundaryMassZero - -theorem -shellBoundaryMassZero - - - -Semantics.NUVMATH->Semantics.NUVMATH.shellBoundaryMassZero - - -contains - - - -Semantics.NUVMATH.shellBoundary16EmitClosed - -theorem -shellBoundary16EmitClosed - - - -Semantics.NUVMATH->Semantics.NUVMATH.shellBoundary16EmitClosed - - -contains - - - -Semantics.NUVMATH.shellBoundary16MassZero - -theorem -shellBoundary16MassZero - - - -Semantics.NUVMATH->Semantics.NUVMATH.shellBoundary16MassZero - - -contains - - - -Semantics.NUVMATH.projectToUV - -def -projectToUV - - - -Semantics.NUVMATH->Semantics.NUVMATH.projectToUV - - -contains - - - -Semantics.NUVMATH.projectionError - -def -projectionError - - - -Semantics.NUVMATH->Semantics.NUVMATH.projectionError - - -contains - - - -Semantics.NUVMATH.preservesEnergy - -def -preservesEnergy - - - -Semantics.NUVMATH->Semantics.NUVMATH.preservesEnergy - - -contains - - - -Semantics.NUVMATH.q16FloorNat - -def -q16FloorNat - - - -Semantics.NUVMATH->Semantics.NUVMATH.q16FloorNat - - -contains - - - -Semantics.NUVMATH.auditS3C - -def -auditS3C - - - -Semantics.NUVMATH->Semantics.NUVMATH.auditS3C - - -contains - - - -Semantics.NUVMATH.tryAtomicStep - -def -tryAtomicStep - - - -Semantics.NUVMATH->Semantics.NUVMATH.tryAtomicStep - - -contains - - - -Semantics.NUVMATH.fammLoadS3C - -def -fammLoadS3C - - - -Semantics.NUVMATH->Semantics.NUVMATH.fammLoadS3C - - -contains - - - -Semantics.NUVMATH.regularizedGFactor - -def -regularizedGFactor - - - -Semantics.NUVMATH->Semantics.NUVMATH.regularizedGFactor - - -contains - - - -Semantics.NUVMATH.defaultGovernorConfig - -def -defaultGovernorConfig - - - -Semantics.NUVMATH->Semantics.NUVMATH.defaultGovernorConfig - - -contains - - - -Semantics.NUVMATH.geometricDt - -def -geometricDt - - - -Semantics.NUVMATH->Semantics.NUVMATH.geometricDt - - -contains - - - -Semantics.NUVMATH.proposeWaveStep - -def -proposeWaveStep - - - -Semantics.NUVMATH->Semantics.NUVMATH.proposeWaveStep - - -contains - - - -Semantics.NUVMATH.adaptiveStepFuel - -def -adaptiveStepFuel - - - -Semantics.NUVMATH->Semantics.NUVMATH.adaptiveStepFuel - - -contains - - - -Semantics.NUVMATH.adaptiveStep - -def -adaptiveStep - - - -Semantics.NUVMATH->Semantics.NUVMATH.adaptiveStep - - -contains - - - -Semantics.NUVMATH.allHairsEmit - -def -allHairsEmit - - - -Semantics.NUVMATH->Semantics.NUVMATH.allHairsEmit - - -contains - - - -Semantics.NUVMATH.combTargetCell - -def -combTargetCell - - - -Semantics.NUVMATH->Semantics.NUVMATH.combTargetCell - - -contains - - - -Semantics.NUVMATH.combForceCell - -def -combForceCell - - - -Semantics.NUVMATH->Semantics.NUVMATH.combForceCell - - -contains - - - -Semantics.NUVMATH.throatAtomicState - -def -throatAtomicState - - - -Semantics.NUVMATH->Semantics.NUVMATH.throatAtomicState - - -contains - - - -Semantics.Navigator - -module -Navigator - - - -Semantics.Navigator->Semantics.FixedPoint - - -imports - - - -Semantics.Navigator.selectModel - -def -selectModel - - - -Semantics.Navigator->Semantics.Navigator.selectModel - - -contains - - - -Semantics.Navigator.canReachSwerve - -def -canReachSwerve - - - -Semantics.Navigator->Semantics.Navigator.canReachSwerve - - -contains - - - -Semantics.NeighborCoupling - -module -NeighborCoupling - - - -Semantics.NeighborCoupling.computeCouplingWeightZeroBeyondRadius - -theorem -computeCouplingWeightZeroBeyondRadius - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.computeCouplingWeightZeroBeyondRadius - - -contains - - - -Semantics.NeighborCoupling.computeDistanceSymmetric - -theorem -computeDistanceSymmetric - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.computeDistanceSymmetric - - -contains - - - -Semantics.NeighborCoupling.computeLaplacianWithCouplingZeroWhenNoNeighbors - -theorem -computeLaplacianWithCouplingZeroWhenNoNe - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.computeLaplacianWithCouplingZeroWhenNoNeighbors - - -contains - - - -Semantics.NeighborCoupling.initializeCouplingParametersHasPositiveStrength - -theorem -initializeCouplingParametersHasPositiveS - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.initializeCouplingParametersHasPositiveStrength - - -contains - - - -Semantics.NeighborCoupling.zero - -def -zero - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.zero - - -contains - - - -Semantics.NeighborCoupling.one - -def -one - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.one - - -contains - - - -Semantics.NeighborCoupling.ofFrac - -def -ofFrac - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.ofFrac - - -contains - - - -Semantics.NeighborCoupling.add - -def -add - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.add - - -contains - - - -Semantics.NeighborCoupling.sub - -def -sub - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.sub - - -contains - - - -Semantics.NeighborCoupling.mul - -def -mul - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.mul - - -contains - - - -Semantics.NeighborCoupling.getNeighborPositions - -def -getNeighborPositions - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.getNeighborPositions - - -contains - - - -Semantics.NeighborCoupling.computeCouplingWeight - -def -computeCouplingWeight - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.computeCouplingWeight - - -contains - - - -Semantics.NeighborCoupling.computeDistance - -def -computeDistance - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.computeDistance - - -contains - - - -Semantics.NeighborCoupling.computeWeightedNeighborSum - -def -computeWeightedNeighborSum - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.computeWeightedNeighborSum - - -contains - - - -Semantics.NeighborCoupling.computeLaplacianWithCoupling - -def -computeLaplacianWithCoupling - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.computeLaplacianWithCoupling - - -contains - - - -Semantics.NeighborCoupling.initializeCouplingParameters - -def -initializeCouplingParameters - - - -Semantics.NeighborCoupling->Semantics.NeighborCoupling.initializeCouplingParameters - - -contains - - - -Semantics.NetworkCapacity - -module -NetworkCapacity - - - -Semantics.NetworkCapacity.zero - -def -zero - - - -Semantics.NetworkCapacity->Semantics.NetworkCapacity.zero - - -contains - - - -Semantics.NetworkCapacity.one - -def -one - - - -Semantics.NetworkCapacity->Semantics.NetworkCapacity.one - - -contains - - - -Semantics.NetworkCapacity.ofNat - -def -ofNat - - - -Semantics.NetworkCapacity->Semantics.NetworkCapacity.ofNat - - -contains - - - -Semantics.NetworkCapacity.toNat - -def -toNat - - - -Semantics.NetworkCapacity->Semantics.NetworkCapacity.toNat - - -contains - - - -Semantics.NetworkCapacity.ofFrac - -def -ofFrac - - - -Semantics.NetworkCapacity->Semantics.NetworkCapacity.ofFrac - - -contains - - - -Semantics.NetworkCapacity.isOnline - -def -isOnline - - - -Semantics.NetworkCapacity->Semantics.NetworkCapacity.isOnline - - -contains - - - -Semantics.NetworkCapacity.estimateNodeResources - -def -estimateNodeResources - - - -Semantics.NetworkCapacity->Semantics.NetworkCapacity.estimateNodeResources - - -contains - - - -Semantics.NetworkCapacity.calculateTotalCapacity - -def -calculateTotalCapacity - - - -Semantics.NetworkCapacity->Semantics.NetworkCapacity.calculateTotalCapacity - - -contains - - - -Semantics.NetworkCapacity.calculateENECoverage - -def -calculateENECoverage - - - -Semantics.NetworkCapacity->Semantics.NetworkCapacity.calculateENECoverage - - -contains - - - -Semantics.NetworkCapacity.generateCapacityReport - -def -generateCapacityReport - - - -Semantics.NetworkCapacity->Semantics.NetworkCapacity.generateCapacityReport - - -contains - - - -Semantics.NetworkRAM - -module -NetworkRAM - - - -Semantics.NetworkRAM.DriftTensor_fromTiming - -def -DriftTensor_fromTiming - - - -Semantics.NetworkRAM->Semantics.NetworkRAM.DriftTensor_fromTiming - - -contains - - - -Semantics.NetworkRAM.DelayLine_empty - -def -DelayLine_empty - - - -Semantics.NetworkRAM->Semantics.NetworkRAM.DelayLine_empty - - -contains - - - -Semantics.NetworkRAM.DelayLine_readAt - -def -DelayLine_readAt - - - -Semantics.NetworkRAM->Semantics.NetworkRAM.DelayLine_readAt - - -contains - - - -Semantics.NetworkRAM.DelayLine_writeAt - -def -DelayLine_writeAt - - - -Semantics.NetworkRAM->Semantics.NetworkRAM.DelayLine_writeAt - - -contains - - - -Semantics.NetworkRAM.NetworkRAM_blitStep - -def -NetworkRAM_blitStep - - - -Semantics.NetworkRAM->Semantics.NetworkRAM.NetworkRAM_blitStep - - -contains - - - -Semantics.NetworkRAM->Semantics.Quaternion - - -imports - - - -Semantics.NetworkedSelfSolvingSpace - -module -NetworkedSelfSolvingSpace - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.FixedPoint - - -imports - - - -Semantics.NetworkedSelfSolvingSpace.solitonConvergence - -theorem -solitonConvergence - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.solitonConvergence - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.boundedPropagationTime - -theorem -boundedPropagationTime - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.boundedPropagationTime - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.asyncSelfSolvingPreservation - -theorem -asyncSelfSolvingPreservation - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.asyncSelfSolvingPreservation - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.eventualConsistency - -theorem -eventualConsistency - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.eventualConsistency - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.globalConsistency - -theorem -globalConsistency - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.globalConsistency - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.communicationCostMonotonicity - -theorem -communicationCostMonotonicity - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.communicationCostMonotonicity - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.networkedDescentConvergence - -theorem -networkedDescentConvergence - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.networkedDescentConvergence - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.mengerSpongeErasureBasin - -theorem -mengerSpongeErasureBasin - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.mengerSpongeErasureBasin - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.holographicQuantumEraser - -theorem -holographicQuantumEraser - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.holographicQuantumEraser - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.holographicStateErasure - -theorem -holographicStateErasure - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.holographicStateErasure - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.topologicalPruningRestoresInterference - -theorem -topologicalPruningRestoresInterference - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.topologicalPruningRestoresInterference - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.distributedQuineAxiom - -def -distributedQuineAxiom - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.distributedQuineAxiom - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.emulatePistAtNode - -def -emulatePistAtNode - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.emulatePistAtNode - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.updateEmulatedState - -def -updateEmulatedState - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.updateEmulatedState - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.networkedLyapunov - -def -networkedLyapunov - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.networkedLyapunov - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.networkedLyapunovDescent - -def -networkedLyapunovDescent - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.networkedLyapunovDescent - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.expand - -def -expand - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.expand - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.prune - -def -prune - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.prune - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.solitonPropagationProbability - -def -solitonPropagationProbability - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.solitonPropagationProbability - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.stochasticDelay - -def -stochasticDelay - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.stochasticDelay - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.solitonPhase - -def -solitonPhase - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.solitonPhase - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.generateSolitonMessages - -def -generateSolitonMessages - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.generateSolitonMessages - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.solitonArrives - -def -solitonArrives - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.solitonArrives - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.propagateSolitons - -def -propagateSolitons - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.propagateSolitons - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.applyStateUpdates - -def -applyStateUpdates - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.applyStateUpdates - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.gossip - -def -gossip - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.gossip - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.masterEquation - -def -masterEquation - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.masterEquation - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.getTorusDistance - -def -getTorusDistance - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.getTorusDistance - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.isNetworkedActionLawful - -def -isNetworkedActionLawful - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.isNetworkedActionLawful - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.networkedBind - -def -networkedBind - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.networkedBind - - -contains - - - -Semantics.NetworkedSelfSolvingSpace.whichPathInformationErased - -def -whichPathInformationErased - - - -Semantics.NetworkedSelfSolvingSpace->Semantics.NetworkedSelfSolvingSpace.whichPathInformationErased - - -contains - - - -Semantics.NeurodivergentPatternLUT - -module -NeurodivergentPatternLUT - - - -Semantics.NeurodivergentPatternLUT.mkNeurotypicalPattern - -def -mkNeurotypicalPattern - - - -Semantics.NeurodivergentPatternLUT->Semantics.NeurodivergentPatternLUT.mkNeurotypicalPattern - - -contains - - - -Semantics.NeurodivergentPatternLUT.mkAutismPattern - -def -mkAutismPattern - - - -Semantics.NeurodivergentPatternLUT->Semantics.NeurodivergentPatternLUT.mkAutismPattern - - -contains - - - -Semantics.NeurodivergentPatternLUT.mkADHDPattern - -def -mkADHDPattern - - - -Semantics.NeurodivergentPatternLUT->Semantics.NeurodivergentPatternLUT.mkADHDPattern - - -contains - - - -Semantics.NeurodivergentPatternLUT.mkCombinedPattern - -def -mkCombinedPattern - - - -Semantics.NeurodivergentPatternLUT->Semantics.NeurodivergentPatternLUT.mkCombinedPattern - - -contains - - - -Semantics.NeurodivergentPatternLUT.mkAdaptivePattern - -def -mkAdaptivePattern - - - -Semantics.NeurodivergentPatternLUT->Semantics.NeurodivergentPatternLUT.mkAdaptivePattern - - -contains - - - -Semantics.NeurodivergentPatternLUT.initWarmLUT - -def -initWarmLUT - - - -Semantics.NeurodivergentPatternLUT->Semantics.NeurodivergentPatternLUT.initWarmLUT - - -contains - - - -Semantics.NeurodivergentPatternLUT.loadPattern - -def -loadPattern - - - -Semantics.NeurodivergentPatternLUT->Semantics.NeurodivergentPatternLUT.loadPattern - - -contains - - - -Semantics.NeurodivergentPatternLUT.loadPatternByType - -def -loadPatternByType - - - -Semantics.NeurodivergentPatternLUT->Semantics.NeurodivergentPatternLUT.loadPatternByType - - -contains - - - -Semantics.NeurodivergentPatternLUT.loadAdaptivePattern - -def -loadAdaptivePattern - - - -Semantics.NeurodivergentPatternLUT->Semantics.NeurodivergentPatternLUT.loadAdaptivePattern - - -contains - - - -Semantics.NextGenAgentDesign - -module -NextGenAgentDesign - - - -Semantics.NextGenAgentDesign.zero - -def -zero - - - -Semantics.NextGenAgentDesign->Semantics.NextGenAgentDesign.zero - - -contains - - - -Semantics.NextGenAgentDesign.one - -def -one - - - -Semantics.NextGenAgentDesign->Semantics.NextGenAgentDesign.one - - -contains - - - -Semantics.NextGenAgentDesign.ofNat - -def -ofNat - - - -Semantics.NextGenAgentDesign->Semantics.NextGenAgentDesign.ofNat - - -contains - - - -Semantics.NextGenAgentDesign.toNat - -def -toNat - - - -Semantics.NextGenAgentDesign->Semantics.NextGenAgentDesign.toNat - - -contains - - - -Semantics.NextGenAgentDesign.ofFrac - -def -ofFrac - - - -Semantics.NextGenAgentDesign->Semantics.NextGenAgentDesign.ofFrac - - -contains - - - -Semantics.NextGenAgentDesign.currentBaseline - -def -currentBaseline - - - -Semantics.NextGenAgentDesign->Semantics.NextGenAgentDesign.currentBaseline - - -contains - - - -Semantics.NextGenAgentDesign.identifyBottlenecks - -def -identifyBottlenecks - - - -Semantics.NextGenAgentDesign->Semantics.NextGenAgentDesign.identifyBottlenecks - - -contains - - - -Semantics.NextGenAgentDesign.designNextGenFeatures - -def -designNextGenFeatures - - - -Semantics.NextGenAgentDesign->Semantics.NextGenAgentDesign.designNextGenFeatures - - -contains - - - -Semantics.NextGenAgentDesign.calculateCumulativeImprovement - -def -calculateCumulativeImprovement - - - -Semantics.NextGenAgentDesign->Semantics.NextGenAgentDesign.calculateCumulativeImprovement - - -contains - - - -Semantics.NextGenAgentDesign.calculateProjectedEfficiency - -def -calculateProjectedEfficiency - - - -Semantics.NextGenAgentDesign->Semantics.NextGenAgentDesign.calculateProjectedEfficiency - - -contains - - - -Semantics.NextGenAgentDesign.runDesignProcess - -def -runDesignProcess - - - -Semantics.NextGenAgentDesign->Semantics.NextGenAgentDesign.runDesignProcess - - -contains - - - -Semantics.NonEuclideanGeometry - -module -NonEuclideanGeometry - - - -Semantics.NonEuclideanGeometry.phi - -def -phi - - - -Semantics.NonEuclideanGeometry->Semantics.NonEuclideanGeometry.phi - - -contains - - - -Semantics.NonEuclideanGeometry.cosQtrPi - -def -cosQtrPi - - - -Semantics.NonEuclideanGeometry->Semantics.NonEuclideanGeometry.cosQtrPi - - -contains - - - -Semantics.NonEuclideanGeometry.half - -def -half - - - -Semantics.NonEuclideanGeometry->Semantics.NonEuclideanGeometry.half - - -contains - - - -Semantics.NonEuclideanGeometry.dOblique - -def -dOblique - - - -Semantics.NonEuclideanGeometry->Semantics.NonEuclideanGeometry.dOblique - - -contains - - - -Semantics.NonEuclideanGeometry.obliqueProject - -def -obliqueProject - - - -Semantics.NonEuclideanGeometry->Semantics.NonEuclideanGeometry.obliqueProject - - -contains - - - -Semantics.NonEuclideanGeometry.parallelTransportWrithe - -def -parallelTransportWrithe - - - -Semantics.NonEuclideanGeometry->Semantics.NonEuclideanGeometry.parallelTransportWrithe - - -contains - - - -Semantics.NonEuclideanGeometry.phiWeights - -def -phiWeights - - - -Semantics.NonEuclideanGeometry->Semantics.NonEuclideanGeometry.phiWeights - - -contains - - - -Semantics.NonEuclideanGeometry.phiWeightedDistSq - -def -phiWeightedDistSq - - - -Semantics.NonEuclideanGeometry->Semantics.NonEuclideanGeometry.phiWeightedDistSq - - -contains - - - -Semantics.NonEuclideanGeometry.maxJumpThreshold - -def -maxJumpThreshold - - - -Semantics.NonEuclideanGeometry->Semantics.NonEuclideanGeometry.maxJumpThreshold - - -contains - - - -Semantics.NonEuclideanGeometry.maxWrithe - -def -maxWrithe - - - -Semantics.NonEuclideanGeometry->Semantics.NonEuclideanGeometry.maxWrithe - - -contains - - - -Semantics.NonEuclideanGeometry.validatePath - -def -validatePath - - - -Semantics.NonEuclideanGeometry->Semantics.NonEuclideanGeometry.validatePath - - -contains - - - -Semantics.NonEuclideanGeometry.pathInvariant - -def -pathInvariant - - - -Semantics.NonEuclideanGeometry->Semantics.NonEuclideanGeometry.pathInvariant - - -contains - - - -Semantics.NonEuclideanGeometry.pathCost - -def -pathCost - - - -Semantics.NonEuclideanGeometry->Semantics.NonEuclideanGeometry.pathCost - - -contains - - - -Semantics.NonEuclideanGeometry.nEGeomBind - -def -nEGeomBind - - - -Semantics.NonEuclideanGeometry->Semantics.NonEuclideanGeometry.nEGeomBind - - -contains - - - -Semantics.NonStandardInterfaces - -module -NonStandardInterfaces - - - -Semantics.NonStandardInterfaces->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.NonStandardInterfaces.zero - -def -zero - - - -Semantics.NonStandardInterfaces->Semantics.NonStandardInterfaces.zero - - -contains - - - -Semantics.NonStandardInterfaces.one - -def -one - - - -Semantics.NonStandardInterfaces->Semantics.NonStandardInterfaces.one - - -contains - - - -Semantics.NonStandardInterfaces.ofNat - -def -ofNat - - - -Semantics.NonStandardInterfaces->Semantics.NonStandardInterfaces.ofNat - - -contains - - - -Semantics.NonStandardInterfaces.toNat - -def -toNat - - - -Semantics.NonStandardInterfaces->Semantics.NonStandardInterfaces.toNat - - -contains - - - -Semantics.NonStandardInterfaces.ofFrac - -def -ofFrac - - - -Semantics.NonStandardInterfaces->Semantics.NonStandardInterfaces.ofFrac - - -contains - - - -Semantics.NonStandardInterfaces.abs - -def -abs - - - -Semantics.NonStandardInterfaces->Semantics.NonStandardInterfaces.abs - - -contains - - - -Semantics.NonStandardInterfaces.getCoverage - -def -getCoverage - - - -Semantics.NonStandardInterfaces->Semantics.NonStandardInterfaces.getCoverage - - -contains - - - -Semantics.OEPI - -module -OEPI - - - -Semantics.OEPI->Semantics.Bind - - -imports - - - -Semantics.OEPI.exampleOepiNonnegative - -theorem -exampleOepiNonnegative - - - -Semantics.OEPI->Semantics.OEPI.exampleOepiNonnegative - - -contains - - - -Semantics.OEPI.lowThresholdWitness - -theorem -lowThresholdWitness - - - -Semantics.OEPI->Semantics.OEPI.lowThresholdWitness - - -contains - - - -Semantics.OEPI.criticalThresholdWitness - -theorem -criticalThresholdWitness - - - -Semantics.OEPI->Semantics.OEPI.criticalThresholdWitness - - -contains - - - -Semantics.OEPI.criticalAlwaysAlerts - -theorem -criticalAlwaysAlerts - - - -Semantics.OEPI->Semantics.OEPI.criticalAlwaysAlerts - - -contains - - - -Semantics.OEPI.determineThreshold - -def -determineThreshold - - - -Semantics.OEPI->Semantics.OEPI.determineThreshold - - -contains - - - -Semantics.OEPI.calculateOEPI - -def -calculateOEPI - - - -Semantics.OEPI->Semantics.OEPI.calculateOEPI - - -contains - - - -Semantics.OEPI.oepiCalculationBind - -def -oepiCalculationBind - - - -Semantics.OEPI->Semantics.OEPI.oepiCalculationBind - - -contains - - - -Semantics.OEPI.shouldAlertOperator - -def -shouldAlertOperator - - - -Semantics.OEPI->Semantics.OEPI.shouldAlertOperator - - -contains - - - -Semantics.OTOMOntology - -module -OTOMOntology - - - -Semantics.OTOMOntology.totalModuleCount - -theorem -totalModuleCount - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.totalModuleCount - - -contains - - - -Semantics.OTOMOntology.allModulesUnderOTOM - -theorem -allModulesUnderOTOM - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.allModulesUnderOTOM - - -contains - - - -Semantics.OTOMOntology.coreLayerSize - -theorem -coreLayerSize - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.coreLayerSize - - -contains - - - -Semantics.OTOMOntology.allModulesImportCore - -theorem -allModulesImportCore - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.allModulesImportCore - - -contains - - - -Semantics.OTOMOntology.otomVersionIsCambrianBind - -theorem -otomVersionIsCambrianBind - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.otomVersionIsCambrianBind - - -contains - - - -Semantics.OTOMOntology.otomLabel - -def -otomLabel - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.otomLabel - - -contains - - - -Semantics.OTOMOntology.otomVersion - -def -otomVersion - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.otomVersion - - -contains - - - -Semantics.OTOMOntology.otomTagline - -def -otomTagline - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.otomTagline - - -contains - - - -Semantics.OTOMOntology.otomRepository - -def -otomRepository - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.otomRepository - - -contains - - - -Semantics.OTOMOntology.otomOrigin - -def -otomOrigin - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.otomOrigin - - -contains - - - -Semantics.OTOMOntology.displayName - -def -displayName - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.displayName - - -contains - - - -Semantics.OTOMOntology.moduleCount - -def -moduleCount - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.moduleCount - - -contains - - - -Semantics.OTOMOntology.allDomains - -def -allDomains - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.allDomains - - -contains - - - -Semantics.OTOMOntology.otomModuleRegistry - -def -otomModuleRegistry - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.otomModuleRegistry - - -contains - - - -Semantics.OTOMOntology.description - -def -description - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.description - - -contains - - - -Semantics.OTOMOntology.repository - -def -repository - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.repository - - -contains - - - -Semantics.OTOMOntology.principleCoreDependency - -def -principleCoreDependency - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.principleCoreDependency - - -contains - - - -Semantics.OTOMOntology.principleVerification - -def -principleVerification - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.principleVerification - - -contains - - - -Semantics.OTOMOntology.principleUnifiedLabel - -def -principleUnifiedLabel - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.principleUnifiedLabel - - -contains - - - -Semantics.OTOMOntology.verifyOTOMPrinciples - -def -verifyOTOMPrinciples - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.verifyOTOMPrinciples - - -contains - - - -Semantics.OTOMOntology.otomGitHub - -def -otomGitHub - - - -Semantics.OTOMOntology->Semantics.OTOMOntology.otomGitHub - - -contains - - - -Semantics.Omindirection - -module -Omindirection - - - -Semantics.Omindirection.chirality_prefixes_match_typst_surface - -theorem -chirality_prefixes_match_typst_surface - - - -Semantics.Omindirection->Semantics.Omindirection.chirality_prefixes_match_typst_surface - - -contains - - - -Semantics.Omindirection.row_witness_atom_admissible - -theorem -row_witness_atom_admissible - - - -Semantics.Omindirection->Semantics.Omindirection.row_witness_atom_admissible - - -contains - - - -Semantics.Omindirection.auto_direction_atom_not_admissible - -theorem -auto_direction_atom_not_admissible - - - -Semantics.Omindirection->Semantics.Omindirection.auto_direction_atom_not_admissible - - -contains - - - -Semantics.Omindirection.unreceipted_atom_not_admissible - -theorem -unreceipted_atom_not_admissible - - - -Semantics.Omindirection->Semantics.Omindirection.unreceipted_atom_not_admissible - - -contains - - - -Semantics.Omindirection.mirror_right_atom_admissible - -theorem -mirror_right_atom_admissible - - - -Semantics.Omindirection->Semantics.Omindirection.mirror_right_atom_admissible - - -contains - - - -Semantics.Omindirection.bad_mirror_atom_not_admissible - -theorem -bad_mirror_atom_not_admissible - - - -Semantics.Omindirection->Semantics.Omindirection.bad_mirror_atom_not_admissible - - -contains - - - -Semantics.Omindirection.board_tile_atom_admissible - -theorem -board_tile_atom_admissible - - - -Semantics.Omindirection->Semantics.Omindirection.board_tile_atom_admissible - - -contains - - - -Semantics.Omindirection.captured_board_atom_admissible - -theorem -captured_board_atom_admissible - - - -Semantics.Omindirection->Semantics.Omindirection.captured_board_atom_admissible - - -contains - - - -Semantics.Omindirection.dead_board_atom_not_admissible - -theorem -dead_board_atom_not_admissible - - - -Semantics.Omindirection->Semantics.Omindirection.dead_board_atom_not_admissible - - -contains - - - -Semantics.Omindirection.quarantine_atom_routes_to_quarantine_not_accept - -theorem -quarantine_atom_routes_to_quarantine_not - - - -Semantics.Omindirection->Semantics.Omindirection.quarantine_atom_routes_to_quarantine_not_accept - - -contains - - - -Semantics.Omindirection.admissible_atom_has_explicit_direction - -theorem -admissible_atom_has_explicit_direction - - - -Semantics.Omindirection->Semantics.Omindirection.admissible_atom_has_explicit_direction - - -contains - - - -Semantics.Omindirection.admissible_atom_has_receipt - -theorem -admissible_atom_has_receipt - - - -Semantics.Omindirection->Semantics.Omindirection.admissible_atom_has_receipt - - -contains - - - -Semantics.Omindirection.chiralityPrefix - -def -chiralityPrefix - - - -Semantics.Omindirection->Semantics.Omindirection.chiralityPrefix - - -contains - - - -Semantics.Omindirection.validPhase - -def -validPhase - - - -Semantics.Omindirection->Semantics.Omindirection.validPhase - - -contains - - - -Semantics.Omindirection.chiralityCompatibleWithPhase - -def -chiralityCompatibleWithPhase - - - -Semantics.Omindirection->Semantics.Omindirection.chiralityCompatibleWithPhase - - -contains - - - -Semantics.Omindirection.explicitDirection - -def -explicitDirection - - - -Semantics.Omindirection->Semantics.Omindirection.explicitDirection - - -contains - - - -Semantics.Omindirection.receiptComplete - -def -receiptComplete - - - -Semantics.Omindirection->Semantics.Omindirection.receiptComplete - - -contains - - - -Semantics.Omindirection.boardPlacementAdmissible - -def -boardPlacementAdmissible - - - -Semantics.Omindirection->Semantics.Omindirection.boardPlacementAdmissible - - -contains - - - -Semantics.Omindirection.mirrorPlacementAdmissible - -def -mirrorPlacementAdmissible - - - -Semantics.Omindirection->Semantics.Omindirection.mirrorPlacementAdmissible - - -contains - - - -Semantics.Omindirection.quarantinePlacementAdmissible - -def -quarantinePlacementAdmissible - - - -Semantics.Omindirection->Semantics.Omindirection.quarantinePlacementAdmissible - - -contains - - - -Semantics.Omindirection.atomAdmissible - -def -atomAdmissible - - - -Semantics.Omindirection->Semantics.Omindirection.atomAdmissible - - -contains - - - -Semantics.Omindirection.atomHeld - -def -atomHeld - - - -Semantics.Omindirection->Semantics.Omindirection.atomHeld - - -contains - - - -Semantics.Omindirection.atomQuarantined - -def -atomQuarantined - - - -Semantics.Omindirection->Semantics.Omindirection.atomQuarantined - - -contains - - - -Semantics.Omindirection.exampleReceipt - -def -exampleReceipt - - - -Semantics.Omindirection->Semantics.Omindirection.exampleReceipt - - -contains - - - -Semantics.Omindirection.rowWitnessAtom - -def -rowWitnessAtom - - - -Semantics.Omindirection->Semantics.Omindirection.rowWitnessAtom - - -contains - - - -Semantics.Omindirection.autoDirectionAtom - -def -autoDirectionAtom - - - -Semantics.Omindirection->Semantics.Omindirection.autoDirectionAtom - - -contains - - - -Semantics.Omindirection.unreceiptedAtom - -def -unreceiptedAtom - - - -Semantics.Omindirection->Semantics.Omindirection.unreceiptedAtom - - -contains - - - -Semantics.Omindirection.mirrorRightAtom - -def -mirrorRightAtom - - - -Semantics.Omindirection->Semantics.Omindirection.mirrorRightAtom - - -contains - - - -Semantics.Omindirection.badMirrorAtom - -def -badMirrorAtom - - - -Semantics.Omindirection->Semantics.Omindirection.badMirrorAtom - - -contains - - - -Semantics.Omindirection.boardTileAtom - -def -boardTileAtom - - - -Semantics.Omindirection->Semantics.Omindirection.boardTileAtom - - -contains - - - -Semantics.Omindirection.capturedBoardAtom - -def -capturedBoardAtom - - - -Semantics.Omindirection->Semantics.Omindirection.capturedBoardAtom - - -contains - - - -Semantics.Omindirection.deadBoardAtom - -def -deadBoardAtom - - - -Semantics.Omindirection->Semantics.Omindirection.deadBoardAtom - - -contains - - - -Semantics.OmniNetwork - -module -OmniNetwork - - - -Semantics.OmniNetwork->Semantics.Autobalance - - -imports - - - -Semantics.OmniNetwork.isLawfulPeer - -def -isLawfulPeer - - - -Semantics.OmniNetwork->Semantics.OmniNetwork.isLawfulPeer - - -contains - - - -Semantics.OmniNetwork.networkTension - -def -networkTension - - - -Semantics.OmniNetwork->Semantics.OmniNetwork.networkTension - - -contains - - - -Semantics.OmniNetwork.omniBind - -def -omniBind - - - -Semantics.OmniNetwork->Semantics.OmniNetwork.omniBind - - -contains - - - -Semantics.OmniNetwork.canAutobalance - -def -canAutobalance - - - -Semantics.OmniNetwork->Semantics.OmniNetwork.canAutobalance - - -contains - - - -Semantics.OmnidirectionalInterface - -module -OmnidirectionalInterface - - - -Semantics.OmnidirectionalInterface.routeIncreasesPending - -theorem -routeIncreasesPending - - - -Semantics.OmnidirectionalInterface->Semantics.OmnidirectionalInterface.routeIncreasesPending - - -contains - - - -Semantics.OmnidirectionalInterface.complete_non_increasing_pending - -theorem -complete_non_increasing_pending - - - -Semantics.OmnidirectionalInterface->Semantics.OmnidirectionalInterface.complete_non_increasing_pending - - -contains - - - -Semantics.OmnidirectionalInterface.complete_increments_completed - -theorem -complete_increments_completed - - - -Semantics.OmnidirectionalInterface->Semantics.OmnidirectionalInterface.complete_increments_completed - - -contains - - - -Semantics.OmnidirectionalInterface.totalQueriesMonotonic - -theorem -totalQueriesMonotonic - - - -Semantics.OmnidirectionalInterface->Semantics.OmnidirectionalInterface.totalQueriesMonotonic - - -contains - - - -Semantics.OmnidirectionalInterface.empty - -def -empty - - - -Semantics.OmnidirectionalInterface->Semantics.OmnidirectionalInterface.empty - - -contains - - - -Semantics.OmnidirectionalInterface.route - -def -route - - - -Semantics.OmnidirectionalInterface->Semantics.OmnidirectionalInterface.route - - -contains - - - -Semantics.OmnidirectionalInterface.complete - -def -complete - - - -Semantics.OmnidirectionalInterface->Semantics.OmnidirectionalInterface.complete - - -contains - - - -Semantics.OmnidirectionalInterface.getResultsBySubsystem - -def -getResultsBySubsystem - - - -Semantics.OmnidirectionalInterface->Semantics.OmnidirectionalInterface.getResultsBySubsystem - - -contains - - - -Semantics.OmnidirectionalInterface.domainToSubsystem - -def -domainToSubsystem - - - -Semantics.OmnidirectionalInterface->Semantics.OmnidirectionalInterface.domainToSubsystem - - -contains - - - -Semantics.OmnidirectionalInterface.proposalToQuery - -def -proposalToQuery - - - -Semantics.OmnidirectionalInterface->Semantics.OmnidirectionalInterface.proposalToQuery - - -contains - - - -Semantics.OmnidirectionalInterface.checkSystemHealth - -def -checkSystemHealth - - - -Semantics.OmnidirectionalInterface->Semantics.OmnidirectionalInterface.checkSystemHealth - - -contains - - - -Semantics.OpenWorm - -module -OpenWorm - - - -Semantics.OpenWorm->Semantics.Bind - - -imports - - - -Semantics.OpenWorm.biologicalCost - -def -biologicalCost - - - -Semantics.OpenWorm->Semantics.OpenWorm.biologicalCost - - -contains - - - -Semantics.OpenWorm.biologicalInvariant - -def -biologicalInvariant - - - -Semantics.OpenWorm->Semantics.OpenWorm.biologicalInvariant - - -contains - - - -Semantics.OpenWorm.openwormBind - -def -openwormBind - - - -Semantics.OpenWorm->Semantics.OpenWorm.openwormBind - - -contains - - - -Semantics.OpenWorm.rdfCost - -def -rdfCost - - - -Semantics.OpenWorm->Semantics.OpenWorm.rdfCost - - -contains - - - -Semantics.OpenWorm.rdfInvariant - -def -rdfInvariant - - - -Semantics.OpenWorm->Semantics.OpenWorm.rdfInvariant - - -contains - - - -Semantics.OpenWorm.rdfBind - -def -rdfBind - - - -Semantics.OpenWorm->Semantics.OpenWorm.rdfBind - - -contains - - - -Semantics.OpenWorm.benchmarkOpenWormProbe - -def -benchmarkOpenWormProbe - - - -Semantics.OpenWorm->Semantics.OpenWorm.benchmarkOpenWormProbe - - -contains - - - -Semantics.OptimizedRoute - -module -OptimizedRoute - - - -Semantics.OptimizedRoute.optimizedRoute_length - -theorem -optimizedRoute_length - - - -Semantics.OptimizedRoute->Semantics.OptimizedRoute.optimizedRoute_length - - -contains - - - -Semantics.OptimizedRoute.optimizedRoute_shorter - -theorem -optimizedRoute_shorter - - - -Semantics.OptimizedRoute->Semantics.OptimizedRoute.optimizedRoute_shorter - - -contains - - - -Semantics.OptimizedRoute.costSavings_positive - -theorem -costSavings_positive - - - -Semantics.OptimizedRoute->Semantics.OptimizedRoute.costSavings_positive - - -contains - - - -Semantics.OptimizedRoute.optimizedRoute - -def -optimizedRoute - - - -Semantics.OptimizedRoute->Semantics.OptimizedRoute.optimizedRoute - - -contains - - - -Semantics.OptimizedRoute.costSavings - -def -costSavings - - - -Semantics.OptimizedRoute->Semantics.OptimizedRoute.costSavings - - -contains - - - -Semantics.RouteCost - -module -RouteCost - - - -Semantics.OptimizedRoute->Semantics.RouteCost - - -imports - - - -Semantics.Orchestrate.BasinEscape - -module -BasinEscape - - - -Semantics.Orchestrate.BasinEscape.calculateEscapeVector - -def -calculateEscapeVector - - - -Semantics.Orchestrate.BasinEscape->Semantics.Orchestrate.BasinEscape.calculateEscapeVector - - -contains - - - -Semantics.Orchestrate.BasinEscape.escapeBasin - -def -escapeBasin - - - -Semantics.Orchestrate.BasinEscape->Semantics.Orchestrate.BasinEscape.escapeBasin - - -contains - - - -Semantics.Orchestrate.BasinEscape.stalledState - -def -stalledState - - - -Semantics.Orchestrate.BasinEscape->Semantics.Orchestrate.BasinEscape.stalledState - - -contains - - - -Semantics.PBACSSignal - -module -PBACSSignal - - - -Semantics.Orchestrate.BasinEscape->Semantics.PBACSSignal - - -imports - - - -Semantics.Orchestrate.CredentialSurface - -module -CredentialSurface - - - -Semantics.Orchestrate.CredentialSurface.externalCredentials - -def -externalCredentials - - - -Semantics.Orchestrate.CredentialSurface->Semantics.Orchestrate.CredentialSurface.externalCredentials - - -contains - - - -Semantics.Orchestrate.CredentialSurface.secureCredentials - -def -secureCredentials - - - -Semantics.Orchestrate.CredentialSurface->Semantics.Orchestrate.CredentialSurface.secureCredentials - - -contains - - - -Semantics.Orchestrate.CredentialSurface->Semantics.PBACSSignal - - -imports - - - -Semantics.Orchestrate.SigmaDeploy - -module -SigmaDeploy - - - -Semantics.Orchestrate.SigmaDeploy.currentSession - -def -currentSession - - - -Semantics.Orchestrate.SigmaDeploy->Semantics.Orchestrate.SigmaDeploy.currentSession - - -contains - - - -Semantics.Orchestrate.SigmaDeploy.initiateDeployment - -def -initiateDeployment - - - -Semantics.Orchestrate.SigmaDeploy->Semantics.Orchestrate.SigmaDeploy.initiateDeployment - - -contains - - - -Semantics.Orchestrate.SigmaDeploy->Semantics.PBACSSignal - - -imports - - - -Semantics.Orchestrate - -module -Orchestrate - - - -Semantics.Orchestrate->Semantics.Canon - - -imports - - - -Semantics.Orchestrate.empty - -def -empty - - - -Semantics.Orchestrate->Semantics.Orchestrate.empty - - -contains - - - -Semantics.Orchestrate->Semantics.Orchestrate.empty - - -contains - - - -Semantics.Orchestrate.computeAngularMomentum - -def -computeAngularMomentum - - - -Semantics.Orchestrate->Semantics.Orchestrate.computeAngularMomentum - - -contains - - - -Semantics.Orchestrate.update - -def -update - - - -Semantics.Orchestrate->Semantics.Orchestrate.update - - -contains - - - -Semantics.Orchestrate.rawToManifold - -def -rawToManifold - - - -Semantics.Orchestrate->Semantics.Orchestrate.rawToManifold - - -contains - - - -Semantics.Orchestrate.step - -def -step - - - -Semantics.Orchestrate->Semantics.Orchestrate.step - - -contains - - - -Semantics.OrderedFieldTokens - -module -OrderedFieldTokens - - - -Semantics.OrderedFieldTokens.ammrLeafIntegrity - -theorem -ammrLeafIntegrity - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.ammrLeafIntegrity - - -contains - - - -Semantics.OrderedFieldTokens.stepCountAdvances - -theorem -stepCountAdvances - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.stepCountAdvances - - -contains - - - -Semantics.OrderedFieldTokens.beamSearchInvariant - -theorem -beamSearchInvariant - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.beamSearchInvariant - - -contains - - - -Semantics.OrderedFieldTokens.zero - -def -zero - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.zero - - -contains - - - -Semantics.OrderedFieldTokens.one - -def -one - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.one - - -contains - - - -Semantics.OrderedFieldTokens.epsilon - -def -epsilon - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.epsilon - - -contains - - - -Semantics.OrderedFieldTokens.ofNat - -def -ofNat - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.ofNat - - -contains - - - -Semantics.OrderedFieldTokens.add - -def -add - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.add - - -contains - - - -Semantics.OrderedFieldTokens.sub - -def -sub - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.sub - - -contains - - - -Semantics.OrderedFieldTokens.mul - -def -mul - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.mul - - -contains - - - -Semantics.OrderedFieldTokens.div - -def -div - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.div - - -contains - - - -Semantics.OrderedFieldTokens.le - -def -le - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.le - - -contains - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.le - - -contains - - - -Semantics.OrderedFieldTokens.weightedSum - -def -weightedSum - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.weightedSum - - -contains - - - -Semantics.OrderedFieldTokens.toString - -def -toString - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.toString - - -contains - - - -Semantics.OrderedFieldTokens.category - -def -category - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.category - - -contains - - - -Semantics.OrderedFieldTokens.toNat - -def -toNat - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.toNat - - -contains - - - -Semantics.OrderedFieldTokens.toList - -def -toList - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.toList - - -contains - - - -Semantics.OrderedFieldTokens.wellFormed - -def -wellFormed - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.wellFormed - - -contains - - - -Semantics.OrderedFieldTokens.default - -def -default - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.default - - -contains - - - -Semantics.OrderedFieldTokens.normalized - -def -normalized - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.normalized - - -contains - - - -Semantics.OrderedFieldTokens.projectionScore - -def -projectionScore - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.projectionScore - - -contains - - - -Semantics.OrderedFieldTokens.routingScore - -def -routingScore - - - -Semantics.OrderedFieldTokens->Semantics.OrderedFieldTokens.routingScore - - -contains - - - -Semantics.OrthogonalAmmr->Semantics.FixedPoint - - -imports - - - -Semantics.OrthogonalAmmr.coeffEnergyConsistent - -theorem -coeffEnergyConsistent - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.coeffEnergyConsistent - - -contains - - - -Semantics.OrthogonalAmmr.mirrorLutIndexDeterministic - -theorem -mirrorLutIndexDeterministic - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.mirrorLutIndexDeterministic - - -contains - - - -Semantics.OrthogonalAmmr.commitParentLaw - -theorem -commitParentLaw - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.commitParentLaw - - -contains - - - -Semantics.OrthogonalAmmr.residualEnergy - -def -residualEnergy - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.residualEnergy - - -contains - - - -Semantics.OrthogonalAmmr.projectionSimilarity - -def -projectionSimilarity - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.projectionSimilarity - - -contains - - - -Semantics.OrthogonalAmmr.coeffEnergy - -def -coeffEnergy - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.coeffEnergy - - -contains - - - -Semantics.OrthogonalAmmr.dimensionConsistent - -def -dimensionConsistent - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.dimensionConsistent - - -contains - - - -Semantics.OrthogonalAmmr.energyConsistent - -def -energyConsistent - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.energyConsistent - - -contains - - - -Semantics.OrthogonalAmmr.basisVectorHash - -def -basisVectorHash - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.basisVectorHash - - -contains - - - -Semantics.OrthogonalAmmr.summaryHash - -def -summaryHash - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.summaryHash - - -contains - - - -Semantics.OrthogonalAmmr.commitHash - -def -commitHash - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.commitHash - - -contains - - - -Semantics.OrthogonalAmmr.mergeSummary - -def -mergeSummary - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.mergeSummary - - -contains - - - -Semantics.OrthogonalAmmr.commitParent - -def -commitParent - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.commitParent - - -contains - - - -Semantics.OrthogonalAmmr.mirrorLutIndex - -def -mirrorLutIndex - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.mirrorLutIndex - - -contains - - - -Semantics.OrthogonalAmmr.unitVec - -def -unitVec - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.unitVec - - -contains - - - -Semantics.OrthogonalAmmr.leafSummary - -def -leafSummary - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.leafSummary - - -contains - - - -Semantics.OrthogonalAmmr.leafNode - -def -leafNode - - - -Semantics.OrthogonalAmmr->Semantics.OrthogonalAmmr.leafNode - - -contains - - - -Semantics.PBACSSignal.default - -def -default - - - -Semantics.PBACSSignal->Semantics.PBACSSignal.default - - -contains - - - -Semantics.PBACSSignal.nextPhi - -def -nextPhi - - - -Semantics.PBACSSignal->Semantics.PBACSSignal.nextPhi - - -contains - - - -Semantics.PBACSSignal.getThreshold - -def -getThreshold - - - -Semantics.PBACSSignal->Semantics.PBACSSignal.getThreshold - - -contains - - - -Semantics.PBACSSignal.update - -def -update - - - -Semantics.PBACSSignal->Semantics.PBACSSignal.update - - -contains - - - -Semantics.PISTMachine - -module -PISTMachine - - - -Semantics.PBACSSignal->Semantics.PISTMachine - - -imports - - - -Semantics.PBACSVerilogEquivalence - -module -PBACSVerilogEquivalence - - - -Semantics.PBACSVerilogEquivalence->Semantics.PBACSSignal - - -imports - - - -Semantics.PBACSVerilogEquivalence.hardwareEquivalence - -theorem -hardwareEquivalence - - - -Semantics.PBACSVerilogEquivalence->Semantics.PBACSVerilogEquivalence.hardwareEquivalence - - -contains - - - -Semantics.PBACSVerilogEquivalence.verilogStep - -def -verilogStep - - - -Semantics.PBACSVerilogEquivalence->Semantics.PBACSVerilogEquivalence.verilogStep - - -contains - - - -Semantics.PIST.Classify - -module -Classify - - - -Semantics.PIST.Classify.q16_add_comm - -theorem -q16_add_comm - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.q16_add_comm - - -contains - - - -Semantics.PIST.Classify.blendBand_comm - -theorem -blendBand_comm - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.blendBand_comm - - -contains - - - -Semantics.PIST.Classify.kubelkaMunk_comm - -theorem -kubelkaMunk_comm - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.kubelkaMunk_comm - - -contains - - - -Semantics.PIST.Classify.photonic_roundtrip - -theorem -photonic_roundtrip - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.photonic_roundtrip - - -contains - - - -Semantics.PIST.Classify.array_eq_of_toList_eq - -theorem -array_eq_of_toList_eq - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.array_eq_of_toList_eq - - -contains - - - -Semantics.PIST.Classify.array_foldl_append_eq_flatMap - -theorem -array_foldl_append_eq_flatMap - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.array_foldl_append_eq_flatMap - - -contains - - - -Semantics.PIST.Classify.list_channel_isolation - -theorem -list_channel_isolation - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.list_channel_isolation - - -contains - - - -Semantics.PIST.Classify.photonic_channel_isolation - -theorem -photonic_channel_isolation - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.photonic_channel_isolation - - -contains - - - -Semantics.PIST.Classify.totalKS_512MACs_value - -theorem -totalKS_512MACs_value - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.totalKS_512MACs_value - - -contains - - - -Semantics.PIST.Classify.guarantees - -theorem -guarantees - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.guarantees - - -contains - - - -Semantics.PIST.Classify.km_residual_bounds_energy_loss - -theorem -km_residual_bounds_energy_loss - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.km_residual_bounds_energy_loss - - -contains - - - -Semantics.PIST.Classify.kmResidual_value - -theorem -kmResidual_value - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.kmResidual_value - - -contains - - - -Semantics.PIST.Classify.oberthHighThreshold - -def -oberthHighThreshold - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.oberthHighThreshold - - -contains - - - -Semantics.PIST.Classify.signalThreshold - -def -signalThreshold - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.signalThreshold - - -contains - - - -Semantics.PIST.Classify.spectralRadiusToColor - -def -spectralRadiusToColor - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.spectralRadiusToColor - - -contains - - - -Semantics.PIST.Classify.colorToShapeName - -def -colorToShapeName - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.colorToShapeName - - -contains - - - -Semantics.PIST.Classify.blend_additive - -def -blend_additive - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.blend_additive - - -contains - - - -Semantics.PIST.Classify.blend_rms - -def -blend_rms - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.blend_rms - - -contains - - - -Semantics.PIST.Classify.blend_vortex - -def -blend_vortex - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.blend_vortex - - -contains - - - -Semantics.PIST.Classify.blendRadii - -def -blendRadii - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.blendRadii - - -contains - - - -Semantics.PIST.Classify.hashMatrix - -def -hashMatrix - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.hashMatrix - - -contains - - - -Semantics.PIST.Classify.classifyProxy - -def -classifyProxy - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.classifyProxy - - -contains - - - -Semantics.PIST.Classify.classifyExact - -def -classifyExact - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.classifyExact - - -contains - - - -Semantics.PIST.Classify.spectralProfileToDistribution - -def -spectralProfileToDistribution - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.spectralProfileToDistribution - - -contains - - - -Semantics.PIST.Classify.kubelkaMunkRatio - -def -kubelkaMunkRatio - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.kubelkaMunkRatio - - -contains - - - -Semantics.PIST.Classify.blendBand - -def -blendBand - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.blendBand - - -contains - - - -Semantics.PIST.Classify.defaultBand - -def -defaultBand - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.defaultBand - - -contains - - - -Semantics.PIST.Classify.kubelkaMunkBlend - -def -kubelkaMunkBlend - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.kubelkaMunkBlend - - -contains - - - -Semantics.PIST.Classify.photonicDemux - -def -photonicDemux - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.photonicDemux - - -contains - - - -Semantics.PIST.Classify.photonicMux - -def -photonicMux - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.photonicMux - - -contains - - - -Semantics.PIST.Classify.blendSpectra_additive - -def -blendSpectra_additive - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.blendSpectra_additive - - -contains - - - -Semantics.PIST.Classify.blendSpectra_rms - -def -blendSpectra_rms - - - -Semantics.PIST.Classify->Semantics.PIST.Classify.blendSpectra_rms - - -contains - - - -Semantics.PIST.Matrices250 - -module -Matrices250 - - - -Semantics.PIST.Matrices250.pistMatrices250 - -def -pistMatrices250 - - - -Semantics.PIST.Matrices250->Semantics.PIST.Matrices250.pistMatrices250 - - -contains - - - -Semantics.PIST.Matrices250.findMatrix - -def -findMatrix - - - -Semantics.PIST.Matrices250->Semantics.PIST.Matrices250.findMatrix - - -contains - - - -Semantics.PIST.Motif - -module -Motif - - - -Semantics.PIST.Motif.motifScore_bonus_pos - -theorem -motifScore_bonus_pos - - - -Semantics.PIST.Motif->Semantics.PIST.Motif.motifScore_bonus_pos - - -contains - - - -Semantics.PIST.Motif.motifScore_match_ge_base - -theorem -motifScore_match_ge_base - - - -Semantics.PIST.Motif->Semantics.PIST.Motif.motifScore_match_ge_base - - -contains - - - -Semantics.PIST.Motif.motifScore_zero_freq_base - -theorem -motifScore_zero_freq_base - - - -Semantics.PIST.Motif->Semantics.PIST.Motif.motifScore_zero_freq_base - - -contains - - - -Semantics.PIST.Motif.motifScore_zero_freq_no_match - -theorem -motifScore_zero_freq_no_match - - - -Semantics.PIST.Motif->Semantics.PIST.Motif.motifScore_zero_freq_no_match - - -contains - - - -Semantics.PIST.Motif.motifScore_zero_freq_match_witness - -theorem -motifScore_zero_freq_match_witness - - - -Semantics.PIST.Motif->Semantics.PIST.Motif.motifScore_zero_freq_match_witness - - -contains - - - -Semantics.PIST.Motif.rankMotifs_match_beats_no_match - -theorem -rankMotifs_match_beats_no_match - - - -Semantics.PIST.Motif->Semantics.PIST.Motif.rankMotifs_match_beats_no_match - - -contains - - - -Semantics.PIST.Motif.familyMatchBonus - -def -familyMatchBonus - - - -Semantics.PIST.Motif->Semantics.PIST.Motif.familyMatchBonus - - -contains - - - -Semantics.PIST.Motif.baseScore - -def -baseScore - - - -Semantics.PIST.Motif->Semantics.PIST.Motif.baseScore - - -contains - - - -Semantics.PIST.Motif.motifScore - -def -motifScore - - - -Semantics.PIST.Motif->Semantics.PIST.Motif.motifScore - - -contains - - - -Semantics.PIST.Motif.mkCandidate - -def -mkCandidate - - - -Semantics.PIST.Motif->Semantics.PIST.Motif.mkCandidate - - -contains - - - -Semantics.PIST.Motif.rankMotifs - -def -rankMotifs - - - -Semantics.PIST.Motif->Semantics.PIST.Motif.rankMotifs - - -contains - - - -Semantics.PIST.Motif.topKMotifs - -def -topKMotifs - - - -Semantics.PIST.Motif->Semantics.PIST.Motif.topKMotifs - - -contains - - - -Semantics.PIST.Spectral - -module -Spectral - - - -Semantics.PIST.Spectral.classifyTacticFromName - -def -classifyTacticFromName - - - -Semantics.PIST.Spectral->Semantics.PIST.Spectral.classifyTacticFromName - - -contains - - - -Semantics.PIST.Spectral.isqrt - -def -isqrt - - - -Semantics.PIST.Spectral->Semantics.PIST.Spectral.isqrt - - -contains - - - -Semantics.PIST.Spectral.getEntry - -def -getEntry - - - -Semantics.PIST.Spectral->Semantics.PIST.Spectral.getEntry - - -contains - - - -Semantics.PIST.Spectral.rowSum - -def -rowSum - - - -Semantics.PIST.Spectral->Semantics.PIST.Spectral.rowSum - - -contains - - - -Semantics.PIST.Spectral.symmetrize - -def -symmetrize - - - -Semantics.PIST.Spectral->Semantics.PIST.Spectral.symmetrize - - -contains - - - -Semantics.PIST.Spectral.buildLaplacian - -def -buildLaplacian - - - -Semantics.PIST.Spectral->Semantics.PIST.Spectral.buildLaplacian - - -contains - - - -Semantics.PIST.Spectral.buildATA - -def -buildATA - - - -Semantics.PIST.Spectral->Semantics.PIST.Spectral.buildATA - - -contains - - - -Semantics.PIST.Spectral.normSqRaw - -def -normSqRaw - - - -Semantics.PIST.Spectral->Semantics.PIST.Spectral.normSqRaw - - -contains - - - -Semantics.PIST.Spectral.matVecMul - -def -matVecMul - - - -Semantics.PIST.Spectral->Semantics.PIST.Spectral.matVecMul - - -contains - - - -Semantics.PIST.Spectral.powerIteration - -def -powerIteration - - - -Semantics.PIST.Spectral->Semantics.PIST.Spectral.powerIteration - - -contains - - - -Semantics.PIST.Spectral.emptyProfile - -def -emptyProfile - - - -Semantics.PIST.Spectral->Semantics.PIST.Spectral.emptyProfile - - -contains - - - -Semantics.PIST.Spectral.computeSpectral - -def -computeSpectral - - - -Semantics.PIST.Spectral->Semantics.PIST.Spectral.computeSpectral - - -contains - - - -Semantics.PIST - -module -PIST - - - -Semantics.PIST->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.PIST.a_add_b - -theorem -a_add_b - - - -Semantics.PIST->Semantics.PIST.a_add_b - - -contains - - - -Semantics.PIST.mass_eq_zero_iff - -theorem -mass_eq_zero_iff - - - -Semantics.PIST->Semantics.PIST.mass_eq_zero_iff - - -contains - - - -Semantics.PIST.mass_pos_iff - -theorem -mass_pos_iff - - - -Semantics.PIST->Semantics.PIST.mass_pos_iff - - -contains - - - -Semantics.PIST.Resonant - -theorem -Resonant - - - -Semantics.PIST->Semantics.PIST.Resonant - - -contains - - - -Semantics.PIST->Semantics.PIST.Resonant - - -contains - - - -Semantics.PIST->Semantics.PIST.Resonant - - -contains - - - -Semantics.PIST->Semantics.PIST.Resonant - - -contains - - - -Semantics.PIST.not_fixed_of_nonterminal - -theorem -not_fixed_of_nonterminal - - - -Semantics.PIST->Semantics.PIST.not_fixed_of_nonterminal - - -contains - - - -Semantics.PIST.potential_decreases - -theorem -potential_decreases - - - -Semantics.PIST->Semantics.PIST.potential_decreases - - -contains - - - -Semantics.PIST.preservesMass_resonance - -theorem -preservesMass_resonance - - - -Semantics.PIST->Semantics.PIST.preservesMass_resonance - - -contains - - - -Semantics.PIST.chosen_transition_decreases - -theorem -chosen_transition_decreases - - - -Semantics.PIST->Semantics.PIST.chosen_transition_decreases - - -contains - - - -Semantics.PIST.chosen_transition_not_fixed - -theorem -chosen_transition_not_fixed - - - -Semantics.PIST->Semantics.PIST.chosen_transition_not_fixed - - -contains - - - -Semantics.PIST.n - -def -n - - - -Semantics.PIST->Semantics.PIST.n - - -contains - - - -Semantics.PIST.a - -def -a - - - -Semantics.PIST->Semantics.PIST.a - - -contains - - - -Semantics.PIST.b - -def -b - - - -Semantics.PIST->Semantics.PIST.b - - -contains - - - -Semantics.PIST.mass - -def -mass - - - -Semantics.PIST->Semantics.PIST.mass - - -contains - - - -Semantics.PIST.mirror - -def -mirror - - - -Semantics.PIST->Semantics.PIST.mirror - - -contains - - - -Semantics.PIST.lower - -def -lower - - - -Semantics.PIST->Semantics.PIST.lower - - -contains - - - -Semantics.PIST.upper - -def -upper - - - -Semantics.PIST->Semantics.PIST.upper - - -contains - - - -Semantics.PIST.isResonantPair - -def -isResonantPair - - - -Semantics.PIST->Semantics.PIST.isResonantPair - - -contains - - - -Semantics.PIST.resonance - -def -resonance - - - -Semantics.PIST->Semantics.PIST.resonance - - -contains - - - -Semantics.PIST.rejection - -def -rejection - - - -Semantics.PIST->Semantics.PIST.rejection - - -contains - - - -Semantics.PIST.ofCoord - -def -ofCoord - - - -Semantics.PIST->Semantics.PIST.ofCoord - - -contains - - - -Semantics.PIST.potential - -def -potential - - - -Semantics.PIST->Semantics.PIST.potential - - -contains - - - -Semantics.PIST.appendLog - -def -appendLog - - - -Semantics.PIST->Semantics.PIST.appendLog - - -contains - - - -Semantics.PIST.penalize - -def -penalize - - - -Semantics.PIST->Semantics.PIST.penalize - - -contains - - - -Semantics.PIST.accept - -def -accept - - - -Semantics.PIST->Semantics.PIST.accept - - -contains - - - -Semantics.PIST.relocate - -def -relocate - - - -Semantics.PIST->Semantics.PIST.relocate - - -contains - - - -Semantics.PIST.resonanceJump - -def -resonanceJump - - - -Semantics.PIST->Semantics.PIST.resonanceJump - - -contains - - - -Semantics.PIST.rejectWithPenalty - -def -rejectWithPenalty - - - -Semantics.PIST->Semantics.PIST.rejectWithPenalty - - -contains - - - -Semantics.PIST.PreservesMass - -def -PreservesMass - - - -Semantics.PIST->Semantics.PIST.PreservesMass - - -contains - - - -Semantics.PISTMachine->Semantics.FixedPoint - - -imports - - - -Semantics.PISTMachine.mirror_preserves_mass - -theorem -mirror_preserves_mass - - - -Semantics.PISTMachine->Semantics.PISTMachine.mirror_preserves_mass - - -contains - - - -Semantics.PISTMachine.zero_mass_iff_square - -theorem -zero_mass_iff_square - - - -Semantics.PISTMachine->Semantics.PISTMachine.zero_mass_iff_square - - -contains - - - -Semantics.PISTMachine.a - -def -a - - - -Semantics.PISTMachine->Semantics.PISTMachine.a - - -contains - - - -Semantics.PISTMachine.b - -def -b - - - -Semantics.PISTMachine->Semantics.PISTMachine.b - - -contains - - - -Semantics.PISTMachine.hyperbolaIndex - -def -hyperbolaIndex - - - -Semantics.PISTMachine->Semantics.PISTMachine.hyperbolaIndex - - -contains - - - -Semantics.PISTMachine.rho - -def -rho - - - -Semantics.PISTMachine->Semantics.PISTMachine.rho - - -contains - - - -Semantics.PISTMachine.classifyPhase - -def -classifyPhase - - - -Semantics.PISTMachine->Semantics.PISTMachine.classifyPhase - - -contains - - - -Semantics.PISTMachine.mirror - -def -mirror - - - -Semantics.PISTMachine->Semantics.PISTMachine.mirror - - -contains - - - -Semantics.PISTMachine.lambda - -def -lambda - - - -Semantics.PISTMachine->Semantics.PISTMachine.lambda - - -contains - - - -Semantics.PISTMachine.PISTLogicalMass - -def -PISTLogicalMass - - - -Semantics.PISTMachine->Semantics.PISTMachine.PISTLogicalMass - - -contains - - - -Semantics.PISTMachine.mirrorPreservesMassMass - -def -mirrorPreservesMassMass - - - -Semantics.PISTMachine->Semantics.PISTMachine.mirrorPreservesMassMass - - -contains - - - -Semantics.PISTMachine.zeroMassIffSquareMass - -def -zeroMassIffSquareMass - - - -Semantics.PISTMachine->Semantics.PISTMachine.zeroMassIffSquareMass - - -contains - - - -Semantics.PVGS_DQ_Bridge - -module -PVGS_DQ_Bridge - - - -Semantics.PVGS_DQ_Bridge.pvgs_energy_to_dq - -theorem -pvgs_energy_to_dq - - - -Semantics.PVGS_DQ_Bridge->Semantics.PVGS_DQ_Bridge.pvgs_energy_to_dq - - -contains - - - -Semantics.PVGS_DQ_Bridge.hermite_sieve_isomorphism - -theorem -hermite_sieve_isomorphism - - - -Semantics.PVGS_DQ_Bridge->Semantics.PVGS_DQ_Bridge.hermite_sieve_isomorphism - - -contains - - - -Semantics.PVGS_DQ_Bridge.variety_isomorphism - -theorem -variety_isomorphism - - - -Semantics.PVGS_DQ_Bridge->Semantics.PVGS_DQ_Bridge.variety_isomorphism - - -contains - - - -Semantics.PVGS_DQ_Bridge.pvgsToDQ - -def -pvgsToDQ - - - -Semantics.PVGS_DQ_Bridge->Semantics.PVGS_DQ_Bridge.pvgsToDQ - - -contains - - - -Semantics.PVGS_DQ_Bridge.hermitianRRCKernel - -def -hermitianRRCKernel - - - -Semantics.PVGS_DQ_Bridge->Semantics.PVGS_DQ_Bridge.hermitianRRCKernel - - -contains - - - -Semantics.PVGS_DQ_Bridge.pvgsDQBridgeReceipt - -def -pvgsDQBridgeReceipt - - - -Semantics.PVGS_DQ_Bridge->Semantics.PVGS_DQ_Bridge.pvgsDQBridgeReceipt - - -contains - - - -Semantics.PandigitalEpigeneticSwitch - -module -PandigitalEpigeneticSwitch - - - -Semantics.PandigitalEpigeneticSwitch.effectStrength - -def -effectStrength - - - -Semantics.PandigitalEpigeneticSwitch->Semantics.PandigitalEpigeneticSwitch.effectStrength - - -contains - - - -Semantics.PandigitalEpigeneticSwitch.effectPolarity - -def -effectPolarity - - - -Semantics.PandigitalEpigeneticSwitch->Semantics.PandigitalEpigeneticSwitch.effectPolarity - - -contains - - - -Semantics.PandigitalEpigeneticSwitch.collapseLandscapeToZN - -def -collapseLandscapeToZN - - - -Semantics.PandigitalEpigeneticSwitch->Semantics.PandigitalEpigeneticSwitch.collapseLandscapeToZN - - -contains - - - -Semantics.PandigitalEpigeneticSwitch.encodeEpigeneticSwitch - -def -encodeEpigeneticSwitch - - - -Semantics.PandigitalEpigeneticSwitch->Semantics.PandigitalEpigeneticSwitch.encodeEpigeneticSwitch - - -contains - - - -Semantics.PandigitalEpigeneticSwitch.decodeEpigeneticSwitch - -def -decodeEpigeneticSwitch - - - -Semantics.PandigitalEpigeneticSwitch->Semantics.PandigitalEpigeneticSwitch.decodeEpigeneticSwitch - - -contains - - - -Semantics.PandigitalEpigeneticSwitch.deriveSwitchState - -def -deriveSwitchState - - - -Semantics.PandigitalEpigeneticSwitch->Semantics.PandigitalEpigeneticSwitch.deriveSwitchState - - -contains - - - -Semantics.PandigitalEpigeneticSwitch.expressionProbability - -def -expressionProbability - - - -Semantics.PandigitalEpigeneticSwitch->Semantics.PandigitalEpigeneticSwitch.expressionProbability - - -contains - - - -Semantics.PandigitalEpigeneticSwitch.transcriptionRate - -def -transcriptionRate - - - -Semantics.PandigitalEpigeneticSwitch->Semantics.PandigitalEpigeneticSwitch.transcriptionRate - - -contains - - - -Semantics.PandigitalEpigeneticSwitch.calculateMetrics - -def -calculateMetrics - - - -Semantics.PandigitalEpigeneticSwitch->Semantics.PandigitalEpigeneticSwitch.calculateMetrics - - -contains - - - -Semantics.PandigitalEpigeneticSwitch.exampleActiveGene - -def -exampleActiveGene - - - -Semantics.PandigitalEpigeneticSwitch->Semantics.PandigitalEpigeneticSwitch.exampleActiveGene - - -contains - - - -Semantics.PandigitalEpigeneticSwitch.exampleSilentGene - -def -exampleSilentGene - - - -Semantics.PandigitalEpigeneticSwitch->Semantics.PandigitalEpigeneticSwitch.exampleSilentGene - - -contains - - - -Semantics.PandigitalEpigeneticSwitch.exampleBivalentGene - -def -exampleBivalentGene - - - -Semantics.PandigitalEpigeneticSwitch->Semantics.PandigitalEpigeneticSwitch.exampleBivalentGene - - -contains - - - -Semantics.PandigitalSpectralMass - -module -PandigitalSpectralMass - - - -Semantics.PandigitalSpectralMass.znRoundTrip - -theorem -znRoundTrip - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.znRoundTrip - - -contains - - - -Semantics.PandigitalSpectralMass.cfConvergentToQ16 - -def -cfConvergentToQ16 - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.cfConvergentToQ16 - - -contains - - - -Semantics.PandigitalSpectralMass.phiConvergents - -def -phiConvergents - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.phiConvergents - - -contains - - - -Semantics.PandigitalSpectralMass.piConvergents - -def -piConvergents - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.piConvergents - - -contains - - - -Semantics.PandigitalSpectralMass.selectConvergent - -def -selectConvergent - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.selectConvergent - - -contains - - - -Semantics.PandigitalSpectralMass.encodeZNCompact - -def -encodeZNCompact - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.encodeZNCompact - - -contains - - - -Semantics.PandigitalSpectralMass.decodeZNCompact - -def -decodeZNCompact - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.decodeZNCompact - - -contains - - - -Semantics.PandigitalSpectralMass.deriveAFromCompact - -def -deriveAFromCompact - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.deriveAFromCompact - - -contains - - - -Semantics.PandigitalSpectralMass.deriveBiasFromCompact - -def -deriveBiasFromCompact - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.deriveBiasFromCompact - - -contains - - - -Semantics.PandigitalSpectralMass.reconstructComponent - -def -reconstructComponent - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.reconstructComponent - - -contains - - - -Semantics.PandigitalSpectralMass.reconstructEigenvectorComponent - -def -reconstructEigenvectorComponent - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.reconstructEigenvectorComponent - - -contains - - - -Semantics.PandigitalSpectralMass.fromFullComponents - -def -fromFullComponents - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.fromFullComponents - - -contains - - - -Semantics.PandigitalSpectralMass.reconstructShellAddress - -def -reconstructShellAddress - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.reconstructShellAddress - - -contains - - - -Semantics.PandigitalSpectralMass.deriveMassPhase - -def -deriveMassPhase - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.deriveMassPhase - - -contains - - - -Semantics.PandigitalSpectralMass.exampleCompact400k - -def -exampleCompact400k - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.exampleCompact400k - - -contains - - - -Semantics.PandigitalSpectralMass.exampleCompactSmall - -def -exampleCompactSmall - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.exampleCompactSmall - - -contains - - - -Semantics.PandigitalSpectralMass.examplePiComponent - -def -examplePiComponent - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.examplePiComponent - - -contains - - - -Semantics.PandigitalSpectralMass.examplePhiWeightedComponent - -def -examplePhiWeightedComponent - - - -Semantics.PandigitalSpectralMass->Semantics.PandigitalSpectralMass.examplePhiWeightedComponent - - -contains - - - -Semantics.ParameterSensitivity - -module -ParameterSensitivity - - - -Semantics.ParameterSensitivity.for - -theorem -for - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.for - - -contains - - - -Semantics.ParameterSensitivity.p01Stable - -theorem -p01Stable - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.p01Stable - - -contains - - - -Semantics.ParameterSensitivity.p02Stable - -theorem -p02Stable - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.p02Stable - - -contains - - - -Semantics.ParameterSensitivity.p03Stable - -theorem -p03Stable - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.p03Stable - - -contains - - - -Semantics.ParameterSensitivity.p04Stable - -theorem -p04Stable - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.p04Stable - - -contains - - - -Semantics.ParameterSensitivity.p05Stable - -theorem -p05Stable - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.p05Stable - - -contains - - - -Semantics.ParameterSensitivity.p06Stable - -theorem -p06Stable - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.p06Stable - - -contains - - - -Semantics.ParameterSensitivity.p07Stable - -theorem -p07Stable - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.p07Stable - - -contains - - - -Semantics.ParameterSensitivity.p08Stable - -theorem -p08Stable - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.p08Stable - - -contains - - - -Semantics.ParameterSensitivity.p09Stable - -theorem -p09Stable - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.p09Stable - - -contains - - - -Semantics.ParameterSensitivity.p10Stable - -theorem -p10Stable - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.p10Stable - - -contains - - - -Semantics.ParameterSensitivity.p11Stable - -theorem -p11Stable - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.p11Stable - - -contains - - - -Semantics.ParameterSensitivity.allPredictionsStable - -theorem -allPredictionsStable - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.allPredictionsStable - - -contains - - - -Semantics.ParameterSensitivity.p02StabilityRatio - -theorem -p02StabilityRatio - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.p02StabilityRatio - - -contains - - - -Semantics.ParameterSensitivity.p04StabilityRatio - -theorem -p04StabilityRatio - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.p04StabilityRatio - - -contains - - - -Semantics.ParameterSensitivity.p05StabilityRatio - -theorem -p05StabilityRatio - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.p05StabilityRatio - - -contains - - - -Semantics.ParameterSensitivity.lookElsewhereWidth - -def -lookElsewhereWidth - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.lookElsewhereWidth - - -contains - - - -Semantics.ParameterSensitivity.corrFactor - -def -corrFactor - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.corrFactor - - -contains - - - -Semantics.ParameterSensitivity.derivP01 - -def -derivP01 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.derivP01 - - -contains - - - -Semantics.ParameterSensitivity.derivP02 - -def -derivP02 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.derivP02 - - -contains - - - -Semantics.ParameterSensitivity.derivP03 - -def -derivP03 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.derivP03 - - -contains - - - -Semantics.ParameterSensitivity.derivP04 - -def -derivP04 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.derivP04 - - -contains - - - -Semantics.ParameterSensitivity.derivP05 - -def -derivP05 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.derivP05 - - -contains - - - -Semantics.ParameterSensitivity.derivP06 - -def -derivP06 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.derivP06 - - -contains - - - -Semantics.ParameterSensitivity.derivP07 - -def -derivP07 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.derivP07 - - -contains - - - -Semantics.ParameterSensitivity.derivP08 - -def -derivP08 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.derivP08 - - -contains - - - -Semantics.ParameterSensitivity.derivP09 - -def -derivP09 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.derivP09 - - -contains - - - -Semantics.ParameterSensitivity.derivP10 - -def -derivP10 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.derivP10 - - -contains - - - -Semantics.ParameterSensitivity.derivP11 - -def -derivP11 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.derivP11 - - -contains - - - -Semantics.ParameterSensitivity.maxPerturbation - -def -maxPerturbation - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.maxPerturbation - - -contains - - - -Semantics.ParameterSensitivity.sigmaP01 - -def -sigmaP01 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.sigmaP01 - - -contains - - - -Semantics.ParameterSensitivity.sigmaP02 - -def -sigmaP02 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.sigmaP02 - - -contains - - - -Semantics.ParameterSensitivity.sigmaP03 - -def -sigmaP03 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.sigmaP03 - - -contains - - - -Semantics.ParameterSensitivity.sigmaP04 - -def -sigmaP04 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.sigmaP04 - - -contains - - - -Semantics.ParameterSensitivity.sigmaP05 - -def -sigmaP05 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.sigmaP05 - - -contains - - - -Semantics.ParameterSensitivity.sigmaP06 - -def -sigmaP06 - - - -Semantics.ParameterSensitivity->Semantics.ParameterSensitivity.sigmaP06 - - -contains - - - -Semantics.PassiveComputation - -module -PassiveComputation - - - -Semantics.PassiveComputation.routeEqualsCompute - -theorem -routeEqualsCompute - - - -Semantics.PassiveComputation->Semantics.PassiveComputation.routeEqualsCompute - - -contains - - - -Semantics.PassiveComputation.generatedReceiptCommitsEndpoints - -theorem -generatedReceiptCommitsEndpoints - - - -Semantics.PassiveComputation->Semantics.PassiveComputation.generatedReceiptCommitsEndpoints - - -contains - - - -Semantics.PassiveComputation.passiveComputationIncreasesYield - -theorem -passiveComputationIncreasesYield - - - -Semantics.PassiveComputation->Semantics.PassiveComputation.passiveComputationIncreasesYield - - -contains - - - -Semantics.PassiveComputation.pathLength - -def -pathLength - - - -Semantics.PassiveComputation->Semantics.PassiveComputation.pathLength - - -contains - - - -Semantics.PassiveComputation.computeRoutingCost - -def -computeRoutingCost - - - -Semantics.PassiveComputation->Semantics.PassiveComputation.computeRoutingCost - - -contains - - - -Semantics.PassiveComputation.computeDelay - -def -computeDelay - - - -Semantics.PassiveComputation->Semantics.PassiveComputation.computeDelay - - -contains - - - -Semantics.PassiveComputation.countBoundaryCrossings - -def -countBoundaryCrossings - - - -Semantics.PassiveComputation->Semantics.PassiveComputation.countBoundaryCrossings - - -contains - - - -Semantics.PassiveComputation.isValidPath - -def -isValidPath - - - -Semantics.PassiveComputation->Semantics.PassiveComputation.isValidPath - - -contains - - - -Semantics.PassiveComputation.computeValueFromTransit - -def -computeValueFromTransit - - - -Semantics.PassiveComputation->Semantics.PassiveComputation.computeValueFromTransit - - -contains - - - -Semantics.PassiveComputation.generateReceipt - -def -generateReceipt - - - -Semantics.PassiveComputation->Semantics.PassiveComputation.generateReceipt - - -contains - - - -Semantics.PassiveComputation.informationYield - -def -informationYield - - - -Semantics.PassiveComputation->Semantics.PassiveComputation.informationYield - - -contains - - - -Semantics.Path->Semantics.Graph - - -imports - - - -Semantics.Path.AtomicPath - -theorem -AtomicPath - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Path->Semantics.Path.AtomicPath - - -contains - - - -Semantics.Pbacs - -module -Pbacs - - - -Semantics.Pbacs->Semantics.Canon - - -imports - - - -Semantics.Pbacs.lookup - -def -lookup - - - -Semantics.Pbacs->Semantics.Pbacs.lookup - - -contains - - - -Semantics.Pbacs.lookupD - -def -lookupD - - - -Semantics.Pbacs->Semantics.Pbacs.lookupD - - -contains - - - -Semantics.Pbacs.clamp01 - -def -clamp01 - - - -Semantics.Pbacs->Semantics.Pbacs.clamp01 - - -contains - - - -Semantics.Pbacs.q16_16Neg - -def -q16_16Neg - - - -Semantics.Pbacs->Semantics.Pbacs.q16_16Neg - - -contains - - - -Semantics.Pbacs.project - -def -project - - - -Semantics.Pbacs->Semantics.Pbacs.project - - -contains - - - -Semantics.Pbacs.computeScore - -def -computeScore - - - -Semantics.Pbacs->Semantics.Pbacs.computeScore - - -contains - - - -Semantics.Pbacs.nextControlState - -def -nextControlState - - - -Semantics.Pbacs->Semantics.Pbacs.nextControlState - - -contains - - - -Semantics.Pbacs.engramLengthMs - -def -engramLengthMs - - - -Semantics.Pbacs->Semantics.Pbacs.engramLengthMs - - -contains - - - -Semantics.Pbacs.alpha - -def -alpha - - - -Semantics.Pbacs->Semantics.Pbacs.alpha - - -contains - - - -Semantics.Pbacs.update - -def -update - - - -Semantics.Pbacs->Semantics.Pbacs.update - - -contains - - - -Semantics.Pbacs.updateAccumulation - -def -updateAccumulation - - - -Semantics.Pbacs->Semantics.Pbacs.updateAccumulation - - -contains - - - -Semantics.Pbacs.step - -def -step - - - -Semantics.Pbacs->Semantics.Pbacs.step - - -contains - - - -Semantics.PenguinDecayLUT - -module -PenguinDecayLUT - - - -Semantics.PenguinDecayLUT.zero - -def -zero - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.zero - - -contains - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.zero - - -contains - - - -Semantics.PenguinDecayLUT.normSq - -def -normSq - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.normSq - - -contains - - - -Semantics.PenguinDecayLUT.computeObservable - -def -computeObservable - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.computeObservable - - -contains - - - -Semantics.PenguinDecayLUT.smPrediction - -def -smPrediction - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.smPrediction - - -contains - - - -Semantics.PenguinDecayLUT.deltaC9_anomaly - -def -deltaC9_anomaly - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.deltaC9_anomaly - - -contains - - - -Semantics.PenguinDecayLUT.c9Effective - -def -c9Effective - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.c9Effective - - -contains - - - -Semantics.PenguinDecayLUT.rgeEvolve - -def -rgeEvolve - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.rgeEvolve - - -contains - - - -Semantics.PenguinDecayLUT.detectAnomaly - -def -detectAnomaly - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.detectAnomaly - - -contains - - - -Semantics.PenguinDecayLUT.isBasinEscape - -def -isBasinEscape - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.isBasinEscape - - -contains - - - -Semantics.PenguinDecayLUT.extractBSMScale - -def -extractBSMScale - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.extractBSMScale - - -contains - - - -Semantics.PenguinDecayLUT.defaultSMLUT - -def -defaultSMLUT - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.defaultSMLUT - - -contains - - - -Semantics.PenguinDecayLUT.smToLadderPacket - -def -smToLadderPacket - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.smToLadderPacket - - -contains - - - -Semantics.PenguinDecayLUT.flavorLadder - -def -flavorLadder - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.flavorLadder - - -contains - - - -Semantics.PenguinDecayLUT.penguinRGFlow - -def -penguinRGFlow - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.penguinRGFlow - - -contains - - - -Semantics.PenguinDecayLUT.penguinSpectralProfile - -def -penguinSpectralProfile - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.penguinSpectralProfile - - -contains - - - -Semantics.PenguinDecayLUT.wc_anomalous - -def -wc_anomalous - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.wc_anomalous - - -contains - - - -Semantics.PenguinDecayLUT.testAnomaly - -def -testAnomaly - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.testAnomaly - - -contains - - - -Semantics.PenguinDecayLUT.b_quark - -def -b_quark - - - -Semantics.PenguinDecayLUT->Semantics.PenguinDecayLUT.b_quark - - -contains - - - -Semantics.PeptideMoE - -module -PeptideMoE - - - -Semantics.PeptideMoE->Mathlib.Data.Real.Basic - - -imports - - - -Semantics.PeptideMoE.filteredScore_of_not_admissible - -theorem -filteredScore_of_not_admissible - - - -Semantics.PeptideMoE->Semantics.PeptideMoE.filteredScore_of_not_admissible - - -contains - - - -Semantics.PeptideMoE.filteredScore_of_admissible - -theorem -filteredScore_of_admissible - - - -Semantics.PeptideMoE->Semantics.PeptideMoE.filteredScore_of_admissible - - -contains - - - -Semantics.PeptideMoE.expertHelpful_iff - -theorem -expertHelpful_iff - - - -Semantics.PeptideMoE->Semantics.PeptideMoE.expertHelpful_iff - - -contains - - - -Semantics.PeptideMoE.gate_mass_one - -theorem -gate_mass_one - - - -Semantics.PeptideMoE->Semantics.PeptideMoE.gate_mass_one - - -contains - - - -Semantics.PeptideMoE.filteredScore_zero_of_not_admissible - -theorem -filteredScore_zero_of_not_admissible - - - -Semantics.PeptideMoE->Semantics.PeptideMoE.filteredScore_zero_of_not_admissible - - -contains - - - -Semantics.PeptideMoE.filteredScore_eq_phiPeptide_of_admissible - -theorem -filteredScore_eq_phiPeptide_of_admissibl - - - -Semantics.PeptideMoE->Semantics.PeptideMoE.filteredScore_eq_phiPeptide_of_admissible - - -contains - - - -Semantics.PeptideMoE.admissible - -def -admissible - - - -Semantics.PeptideMoE->Semantics.PeptideMoE.admissible - - -contains - - - -Semantics.PeptideMoE.expertUsefulness - -def -expertUsefulness - - - -Semantics.PeptideMoE->Semantics.PeptideMoE.expertUsefulness - - -contains - - - -Semantics.PeptideMoE.expertHelpful - -def -expertHelpful - - - -Semantics.PeptideMoE->Semantics.PeptideMoE.expertHelpful - - -contains - - - -Semantics.PeptideMoE.moeDrift - -def -moeDrift - - - -Semantics.PeptideMoE->Semantics.PeptideMoE.moeDrift - - -contains - - - -Semantics.PeptideMoE.gatesNormalized - -def -gatesNormalized - - - -Semantics.PeptideMoE->Semantics.PeptideMoE.gatesNormalized - - -contains - - - -Semantics.PeptideMoE.denominatorSafe - -def -denominatorSafe - - - -Semantics.PeptideMoE->Semantics.PeptideMoE.denominatorSafe - - -contains - - - -Semantics.PeptideMoE.allDenominatorsSafe - -def -allDenominatorsSafe - - - -Semantics.PeptideMoE->Semantics.PeptideMoE.allDenominatorsSafe - - -contains - - - -Semantics.PeptideMoEExamples - -module -PeptideMoEExamples - - - -Semantics.PeptideMoEExamples->Mathlib.Data.Real.Basic - - -imports - - - -Semantics.PeptideMoEFailure - -module -PeptideMoEFailure - - - -Semantics.PeptideMoEFailure->Mathlib.Data.Real.Basic - - -imports - - - -Semantics.PeptideMoERepair - -module -PeptideMoERepair - - - -Semantics.PeptideMoERepair->Mathlib.Data.Real.Basic - - -imports - - - -Semantics.PeptideMoERepair.repair_gate_mass_one - -theorem -repair_gate_mass_one - - - -Semantics.PeptideMoERepair->Semantics.PeptideMoERepair.repair_gate_mass_one - - -contains - - - -Semantics.PeptideMoERepair.adviceBoundedAt - -def -adviceBoundedAt - - - -Semantics.PeptideMoERepair->Semantics.PeptideMoERepair.adviceBoundedAt - - -contains - - - -Semantics.PeptideMoERepair.allAdviceBoundedAt - -def -allAdviceBoundedAt - - - -Semantics.PeptideMoERepair->Semantics.PeptideMoERepair.allAdviceBoundedAt - - -contains - - - -Semantics.PhiShellEncoding - -module -PhiShellEncoding - - - -Semantics.PhiShellEncoding.phiShellPathPreservesEndpoints - -theorem -phiShellPathPreservesEndpoints - - - -Semantics.PhiShellEncoding->Semantics.PhiShellEncoding.phiShellPathPreservesEndpoints - - -contains - - - -Semantics.PhiShellEncoding.phiShellCapacityGrowth - -theorem -phiShellCapacityGrowth - - - -Semantics.PhiShellEncoding->Semantics.PhiShellEncoding.phiShellCapacityGrowth - - -contains - - - -Semantics.PhiShellEncoding.phiShellRadiusGrowth - -theorem -phiShellRadiusGrowth - - - -Semantics.PhiShellEncoding->Semantics.PhiShellEncoding.phiShellRadiusGrowth - - -contains - - - -Semantics.PhiShellEncoding.decodePreservesRequestedLevel - -theorem -decodePreservesRequestedLevel - - - -Semantics.PhiShellEncoding->Semantics.PhiShellEncoding.decodePreservesRequestedLevel - - -contains - - - -Semantics.PhiShellEncoding.phiNum - -def -phiNum - - - -Semantics.PhiShellEncoding->Semantics.PhiShellEncoding.phiNum - - -contains - - - -Semantics.PhiShellEncoding.phiDen - -def -phiDen - - - -Semantics.PhiShellEncoding->Semantics.PhiShellEncoding.phiDen - - -contains - - - -Semantics.PhiShellEncoding.computePhiShellRadius - -def -computePhiShellRadius - - - -Semantics.PhiShellEncoding->Semantics.PhiShellEncoding.computePhiShellRadius - - -contains - - - -Semantics.PhiShellEncoding.computePhiShellCapacity - -def -computePhiShellCapacity - - - -Semantics.PhiShellEncoding->Semantics.PhiShellEncoding.computePhiShellCapacity - - -contains - - - -Semantics.PhiShellEncoding.isValidPhiShellAddress - -def -isValidPhiShellAddress - - - -Semantics.PhiShellEncoding->Semantics.PhiShellEncoding.isValidPhiShellAddress - - -contains - - - -Semantics.PhiShellEncoding.rangeBetween - -def -rangeBetween - - - -Semantics.PhiShellEncoding->Semantics.PhiShellEncoding.rangeBetween - - -contains - - - -Semantics.PhiShellEncoding.computePhiShellPath - -def -computePhiShellPath - - - -Semantics.PhiShellEncoding->Semantics.PhiShellEncoding.computePhiShellPath - - -contains - - - -Semantics.PhiShellEncoding.findShellForScale - -def -findShellForScale - - - -Semantics.PhiShellEncoding->Semantics.PhiShellEncoding.findShellForScale - - -contains - - - -Semantics.PhiShellEncoding.encodeNanoKernelShell - -def -encodeNanoKernelShell - - - -Semantics.PhiShellEncoding->Semantics.PhiShellEncoding.encodeNanoKernelShell - - -contains - - - -Semantics.PhiShellEncoding.decodeNanoKernelShell - -def -decodeNanoKernelShell - - - -Semantics.PhiShellEncoding->Semantics.PhiShellEncoding.decodeNanoKernelShell - - -contains - - - -Semantics.PhinaryNumberSystem - -module -PhinaryNumberSystem - - - -Semantics.PhinaryNumberSystem.phi_squared - -theorem -phi_squared - - - -Semantics.PhinaryNumberSystem->Semantics.PhinaryNumberSystem.phi_squared - - -contains - - - -Semantics.PhinaryNumberSystem.round_trip_conversion - -theorem -round_trip_conversion - - - -Semantics.PhinaryNumberSystem->Semantics.PhinaryNumberSystem.round_trip_conversion - - -contains - - - -Semantics.PhinaryNumberSystem.valid_phinary_constraint - -theorem -valid_phinary_constraint - - - -Semantics.PhinaryNumberSystem->Semantics.PhinaryNumberSystem.valid_phinary_constraint - - -contains - - - -Semantics.PhinaryNumberSystem.phi_pow - -def -phi_pow - - - -Semantics.PhinaryNumberSystem->Semantics.PhinaryNumberSystem.phi_pow - - -contains - - - -Semantics.PhinaryNumberSystem.fib - -def -fib - - - -Semantics.PhinaryNumberSystem->Semantics.PhinaryNumberSystem.fib - - -contains - - - -Semantics.PhinaryNumberSystem.validPhinaryDigits - -def -validPhinaryDigits - - - -Semantics.PhinaryNumberSystem->Semantics.PhinaryNumberSystem.validPhinaryDigits - - -contains - - - -Semantics.PhinaryNumberSystem.zeckendorfToNat - -def -zeckendorfToNat - - - -Semantics.PhinaryNumberSystem->Semantics.PhinaryNumberSystem.zeckendorfToNat - - -contains - - - -Semantics.PhinaryNumberSystem.natToZeckendorf - -def -natToZeckendorf - - - -Semantics.PhinaryNumberSystem->Semantics.PhinaryNumberSystem.natToZeckendorf - - -contains - - - -Semantics.PhinaryNumberSystem.equationIdToPhinary - -def -equationIdToPhinary - - - -Semantics.PhinaryNumberSystem->Semantics.PhinaryNumberSystem.equationIdToPhinary - - -contains - - - -Semantics.PhinaryNumberSystem.phinaryToEquationId - -def -phinaryToEquationId - - - -Semantics.PhinaryNumberSystem->Semantics.PhinaryNumberSystem.phinaryToEquationId - - -contains - - - -Semantics.PhinaryNumberSystem.validEquationPhinary - -def -validEquationPhinary - - - -Semantics.PhinaryNumberSystem->Semantics.PhinaryNumberSystem.validEquationPhinary - - -contains - - - -Semantics.PhinaryNumberSystem.phinarySimplify - -def -phinarySimplify - - - -Semantics.PhinaryNumberSystem->Semantics.PhinaryNumberSystem.phinarySimplify - - -contains - - - -Semantics.PhinaryNumberSystem.phinaryNormalize - -def -phinaryNormalize - - - -Semantics.PhinaryNumberSystem->Semantics.PhinaryNumberSystem.phinaryNormalize - - -contains - - - -Semantics.Physics.AdjacentCoprimeClassification - -module -AdjacentCoprimeClassification - - - -Semantics.Physics.AdjacentCoprimeClassification.fibGcdAll - -theorem -fibGcdAll - - - -Semantics.Physics.AdjacentCoprimeClassification->Semantics.Physics.AdjacentCoprimeClassification.fibGcdAll - - -contains - - - -Semantics.Physics.AdjacentCoprimeClassification.fibSupport - -theorem -fibSupport - - - -Semantics.Physics.AdjacentCoprimeClassification->Semantics.Physics.AdjacentCoprimeClassification.fibSupport - - -contains - - - -Semantics.Physics.AdjacentCoprimeClassification.fibCore - -theorem -fibCore - - - -Semantics.Physics.AdjacentCoprimeClassification->Semantics.Physics.AdjacentCoprimeClassification.fibCore - - -contains - - - -Semantics.Physics.AdjacentCoprimeClassification.badAll - -theorem -badAll - - - -Semantics.Physics.AdjacentCoprimeClassification->Semantics.Physics.AdjacentCoprimeClassification.badAll - - -contains - - - -Semantics.Physics.AdjacentCoprimeClassification.ex3All - -theorem -ex3All - - - -Semantics.Physics.AdjacentCoprimeClassification->Semantics.Physics.AdjacentCoprimeClassification.ex3All - - -contains - - - -Semantics.Physics.AdjacentCoprimeClassification.ex3Core - -theorem -ex3Core - - - -Semantics.Physics.AdjacentCoprimeClassification->Semantics.Physics.AdjacentCoprimeClassification.ex3Core - - -contains - - - -Semantics.Physics.AdjacentCoprimeClassification.bad2All - -theorem -bad2All - - - -Semantics.Physics.AdjacentCoprimeClassification->Semantics.Physics.AdjacentCoprimeClassification.bad2All - - -contains - - - -Semantics.Physics.AdjacentCoprimeClassification.ex5All - -theorem -ex5All - - - -Semantics.Physics.AdjacentCoprimeClassification->Semantics.Physics.AdjacentCoprimeClassification.ex5All - - -contains - - - -Semantics.Physics.AdjacentCoprimeClassification.step - -def -step - - - -Semantics.Physics.AdjacentCoprimeClassification->Semantics.Physics.AdjacentCoprimeClassification.step - - -contains - - - -Semantics.Physics.BindPhysics - -module -BindPhysics - - - -Semantics.Physics.BindPhysics->Semantics.Bind - - -imports - - - -Semantics.Physics.BindPhysics.particleInvariant - -def -particleInvariant - - - -Semantics.Physics.BindPhysics->Semantics.Physics.BindPhysics.particleInvariant - - -contains - - - -Semantics.Physics.BindPhysics.physicalCost - -def -physicalCost - - - -Semantics.Physics.BindPhysics->Semantics.Physics.BindPhysics.physicalCost - - -contains - - - -Semantics.Physics.BindPhysics.physicalBindEval - -def -physicalBindEval - - - -Semantics.Physics.BindPhysics->Semantics.Physics.BindPhysics.physicalBindEval - - -contains - - - -Semantics.Physics.BindPhysics.examplePhysicalBind - -def -examplePhysicalBind - - - -Semantics.Physics.BindPhysics->Semantics.Physics.BindPhysics.examplePhysicalBind - - -contains - - - -Semantics.Physics.Boundary - -module -Boundary - - - -Semantics.Physics.ParticleDomain - -module -ParticleDomain - - - -Semantics.Physics.Boundary->Semantics.Physics.ParticleDomain - - -imports - - - -Semantics.Physics.BurgersBridge - -module -BurgersBridge - - - -Semantics.Physics.BurgersBridge.decay_monotonic - -theorem -decay_monotonic - - - -Semantics.Physics.BurgersBridge->Semantics.Physics.BurgersBridge.decay_monotonic - - -contains - - - -Semantics.Physics.BurgersBridge.IsValidRatio - -def -IsValidRatio - - - -Semantics.Physics.BurgersBridge->Semantics.Physics.BurgersBridge.IsValidRatio - - -contains - - - -Semantics.Physics.BurgersBridge.IsDecaying - -def -IsDecaying - - - -Semantics.Physics.BurgersBridge->Semantics.Physics.BurgersBridge.IsDecaying - - -contains - - - -Semantics.Physics.BurgersBridge.VerifyDecayChain - -def -VerifyDecayChain - - - -Semantics.Physics.BurgersBridge->Semantics.Physics.BurgersBridge.VerifyDecayChain - - -contains - - - -Semantics.Physics.ClusterBHAnchors - -module -ClusterBHAnchors - - - -Semantics.Physics.ClusterBHAnchors.clusterVoidInRange - -theorem -clusterVoidInRange - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.clusterVoidInRange - - -contains - - - -Semantics.Physics.ClusterBHAnchors.baoVoidInRange - -theorem -baoVoidInRange - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.baoVoidInRange - - -contains - - - -Semantics.Physics.ClusterBHAnchors.s8ConsistentDesSpt - -theorem -s8ConsistentDesSpt - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.s8ConsistentDesSpt - - -contains - - - -Semantics.Physics.ClusterBHAnchors.s8TensionPlanckSz - -theorem -s8TensionPlanckSz - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.s8TensionPlanckSz - - -contains - - - -Semantics.Physics.ClusterBHAnchors.s8Within3SigmaPlanckSz - -theorem -s8Within3SigmaPlanckSz - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.s8Within3SigmaPlanckSz - - -contains - - - -Semantics.Physics.ClusterBHAnchors.msigCorrectedMatch - -theorem -msigCorrectedMatch - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.msigCorrectedMatch - - -contains - - - -Semantics.Physics.ClusterBHAnchors.voidFracN3 - -def -voidFracN3 - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.voidFracN3 - - -contains - - - -Semantics.Physics.ClusterBHAnchors.voidFracN4 - -def -voidFracN4 - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.voidFracN4 - - -contains - - - -Semantics.Physics.ClusterBHAnchors.modelS8 - -def -modelS8 - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.modelS8 - - -contains - - - -Semantics.Physics.ClusterBHAnchors.desSptS8 - -def -desSptS8 - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.desSptS8 - - -contains - - - -Semantics.Physics.ClusterBHAnchors.desSptSig - -def -desSptSig - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.desSptSig - - -contains - - - -Semantics.Physics.ClusterBHAnchors.planckSzS8 - -def -planckSzS8 - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.planckSzS8 - - -contains - - - -Semantics.Physics.ClusterBHAnchors.planckSzSig - -def -planckSzSig - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.planckSzSig - - -contains - - - -Semantics.Physics.ClusterBHAnchors.mengerPlusKoch - -def -mengerPlusKoch - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.mengerPlusKoch - - -contains - - - -Semantics.Physics.ClusterBHAnchors.msigExponent - -def -msigExponent - - - -Semantics.Physics.ClusterBHAnchors->Semantics.Physics.ClusterBHAnchors.msigExponent - - -contains - - - -Semantics.Physics.Conservation - -module -Conservation - - - -Semantics.Physics.Conservation->Semantics.Physics.Boundary - - -imports - - - -Semantics.Physics.Conservation.totalQuantity - -def -totalQuantity - - - -Semantics.Physics.Conservation->Semantics.Physics.Conservation.totalQuantity - - -contains - - - -Semantics.Physics.Conservation.conserved - -def -conserved - - - -Semantics.Physics.Conservation->Semantics.Physics.Conservation.conserved - - -contains - - - -Semantics.Physics.Conservation.lawfulInteraction - -def -lawfulInteraction - - - -Semantics.Physics.Conservation->Semantics.Physics.Conservation.lawfulInteraction - - -contains - - - -Semantics.Physics.DESIInvariant - -module -DESIInvariant - - - -Semantics.Physics.DESIInvariant.for - -theorem -for - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.for - - -contains - - - -Semantics.Physics.DESIInvariant.w0AboveLcdm - -theorem -w0AboveLcdm - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.w0AboveLcdm - - -contains - - - -Semantics.Physics.DESIInvariant.waBelowLcdm - -theorem -waBelowLcdm - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.waBelowLcdm - - -contains - - - -Semantics.Physics.DESIInvariant.w0Dr1Dr2Consistent - -theorem -w0Dr1Dr2Consistent - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.w0Dr1Dr2Consistent - - -contains - - - -Semantics.Physics.DESIInvariant.waDr1Dr2Consistent - -theorem -waDr1Dr2Consistent - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.waDr1Dr2Consistent - - -contains - - - -Semantics.Physics.DESIInvariant.omegaMDr1Dr2Consistent - -theorem -omegaMDr1Dr2Consistent - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.omegaMDr1Dr2Consistent - - -contains - - - -Semantics.Physics.DESIInvariant.rdDr1 - -def -rdDr1 - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.rdDr1 - - -contains - - - -Semantics.Physics.DESIInvariant.rdDr2 - -def -rdDr2 - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.rdDr2 - - -contains - - - -Semantics.Physics.DESIInvariant.rdDr2Sigma - -def -rdDr2Sigma - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.rdDr2Sigma - - -contains - - - -Semantics.Physics.DESIInvariant.w0Dr1 - -def -w0Dr1 - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.w0Dr1 - - -contains - - - -Semantics.Physics.DESIInvariant.w0Dr2 - -def -w0Dr2 - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.w0Dr2 - - -contains - - - -Semantics.Physics.DESIInvariant.w0Dr2Sigma - -def -w0Dr2Sigma - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.w0Dr2Sigma - - -contains - - - -Semantics.Physics.DESIInvariant.waDr1 - -def -waDr1 - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.waDr1 - - -contains - - - -Semantics.Physics.DESIInvariant.waDr2 - -def -waDr2 - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.waDr2 - - -contains - - - -Semantics.Physics.DESIInvariant.waDr2Sigma - -def -waDr2Sigma - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.waDr2Sigma - - -contains - - - -Semantics.Physics.DESIInvariant.w0Lcdm - -def -w0Lcdm - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.w0Lcdm - - -contains - - - -Semantics.Physics.DESIInvariant.waLcdm - -def -waLcdm - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.waLcdm - - -contains - - - -Semantics.Physics.DESIInvariant.h0Dr1 - -def -h0Dr1 - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.h0Dr1 - - -contains - - - -Semantics.Physics.DESIInvariant.h0Dr2 - -def -h0Dr2 - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.h0Dr2 - - -contains - - - -Semantics.Physics.DESIInvariant.h0Dr2Sigma - -def -h0Dr2Sigma - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.h0Dr2Sigma - - -contains - - - -Semantics.Physics.DESIInvariant.omegaMDr1 - -def -omegaMDr1 - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.omegaMDr1 - - -contains - - - -Semantics.Physics.DESIInvariant.omegaMDr2 - -def -omegaMDr2 - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.omegaMDr2 - - -contains - - - -Semantics.Physics.DESIInvariant.omegaMDr2Sigma - -def -omegaMDr2Sigma - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.omegaMDr2Sigma - - -contains - - - -Semantics.Physics.DESIInvariant.sigma8Dr2 - -def -sigma8Dr2 - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.sigma8Dr2 - - -contains - - - -Semantics.Physics.DESIInvariant.sigma8Dr2Sigma - -def -sigma8Dr2Sigma - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.sigma8Dr2Sigma - - -contains - - - -Semantics.Physics.DESIInvariant.desiDR1 - -def -desiDR1 - - - -Semantics.Physics.DESIInvariant->Semantics.Physics.DESIInvariant.desiDR1 - - -contains - - - -Semantics.Physics.DESIModelProjection - -module -DESIModelProjection - - - -Semantics.Physics.DESIModelProjection.mengerDimLessThan3 - -theorem -mengerDimLessThan3 - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.mengerDimLessThan3 - - -contains - - - -Semantics.Physics.DESIModelProjection.kochDimLessThanMenger - -theorem -kochDimLessThanMenger - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.kochDimLessThanMenger - - -contains - - - -Semantics.Physics.DESIModelProjection.mkDivergenceExceeds1 - -theorem -mkDivergenceExceeds1 - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.mkDivergenceExceeds1 - - -contains - - - -Semantics.Physics.DESIModelProjection.hornVolumeBounded - -theorem -hornVolumeBounded - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.hornVolumeBounded - - -contains - - - -Semantics.Physics.DESIModelProjection.hornSurfaceGrows - -theorem -hornSurfaceGrows - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.hornSurfaceGrows - - -contains - - - -Semantics.Physics.DESIModelProjection.torsionDrivesBoundary - -theorem -torsionDrivesBoundary - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.torsionDrivesBoundary - - -contains - - - -Semantics.Physics.DESIModelProjection.modelW0DirectionAligns - -theorem -modelW0DirectionAligns - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.modelW0DirectionAligns - - -contains - - - -Semantics.Physics.DESIModelProjection.modelWaDirectionAligns - -theorem -modelWaDirectionAligns - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.modelWaDirectionAligns - - -contains - - - -Semantics.Physics.DESIModelProjection.w0IsCalibratedNotPredicted - -theorem -w0IsCalibratedNotPredicted - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.w0IsCalibratedNotPredicted - - -contains - - - -Semantics.Physics.DESIModelProjection.waResidualWithin1SigmaDr1 - -theorem -waResidualWithin1SigmaDr1 - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.waResidualWithin1SigmaDr1 - - -contains - - - -Semantics.Physics.DESIModelProjection.omegaMResidualWithin1Sigma - -theorem -omegaMResidualWithin1Sigma - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.omegaMResidualWithin1Sigma - - -contains - - - -Semantics.Physics.DESIModelProjection.sigma8ResidualWithinModelSigma - -theorem -sigma8ResidualWithinModelSigma - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.sigma8ResidualWithinModelSigma - - -contains - - - -Semantics.Physics.DESIModelProjection.waResidualWithin1SigmaDr2 - -theorem -waResidualWithin1SigmaDr2 - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.waResidualWithin1SigmaDr2 - - -contains - - - -Semantics.Physics.DESIModelProjection.omegaMResidualWithin2SigmaDr2 - -theorem -omegaMResidualWithin2SigmaDr2 - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.omegaMResidualWithin2SigmaDr2 - - -contains - - - -Semantics.Physics.DESIModelProjection.scale - -def -scale - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.scale - - -contains - - - -Semantics.Physics.DESIModelProjection.q16Abs - -def -q16Abs - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.q16Abs - - -contains - - - -Semantics.Physics.DESIModelProjection.q16Div - -def -q16Div - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.q16Div - - -contains - - - -Semantics.Physics.DESIModelProjection.mengerDH - -def -mengerDH - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.mengerDH - - -contains - - - -Semantics.Physics.DESIModelProjection.kochDim - -def -kochDim - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.kochDim - - -contains - - - -Semantics.Physics.DESIModelProjection.mkDivergenceBase - -def -mkDivergenceBase - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.mkDivergenceBase - - -contains - - - -Semantics.Physics.DESIModelProjection.hornVolumeBound - -def -hornVolumeBound - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.hornVolumeBound - - -contains - - - -Semantics.Physics.DESIModelProjection.hornSurfaceGrowthRate - -def -hornSurfaceGrowthRate - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.hornSurfaceGrowthRate - - -contains - - - -Semantics.Physics.DESIModelProjection.torsionCoupling - -def -torsionCoupling - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.torsionCoupling - - -contains - - - -Semantics.Physics.DESIModelProjection.predictW0 - -def -predictW0 - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.predictW0 - - -contains - - - -Semantics.Physics.DESIModelProjection.predictW0Sigma - -def -predictW0Sigma - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.predictW0Sigma - - -contains - - - -Semantics.Physics.DESIModelProjection.predictWa - -def -predictWa - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.predictWa - - -contains - - - -Semantics.Physics.DESIModelProjection.predictWaSigma - -def -predictWaSigma - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.predictWaSigma - - -contains - - - -Semantics.Physics.DESIModelProjection.predictOmegaM - -def -predictOmegaM - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.predictOmegaM - - -contains - - - -Semantics.Physics.DESIModelProjection.predictOmegaMSigma - -def -predictOmegaMSigma - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.predictOmegaMSigma - - -contains - - - -Semantics.Physics.DESIModelProjection.predictSigma8 - -def -predictSigma8 - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.predictSigma8 - - -contains - - - -Semantics.Physics.DESIModelProjection.predictSigma8Sigma - -def -predictSigma8Sigma - - - -Semantics.Physics.DESIModelProjection->Semantics.Physics.DESIModelProjection.predictSigma8Sigma - - -contains - - - -Semantics.Physics.Examples - -module -Examples - - - -Semantics.Physics.Examples->Semantics.Physics.Boundary - - -imports - - - -Semantics.Physics.Examples.exampleElectron - -def -exampleElectron - - - -Semantics.Physics.Examples->Semantics.Physics.Examples.exampleElectron - - -contains - - - -Semantics.Physics.Examples.examplePhoton - -def -examplePhoton - - - -Semantics.Physics.Examples->Semantics.Physics.Examples.examplePhoton - - -contains - - - -Semantics.Physics.Examples.examplePositron - -def -examplePositron - - - -Semantics.Physics.Examples->Semantics.Physics.Examples.examplePositron - - -contains - - - -Semantics.Physics.Examples.exampleProton - -def -exampleProton - - - -Semantics.Physics.Examples->Semantics.Physics.Examples.exampleProton - - -contains - - - -Semantics.Physics.Examples.exampleNeutron - -def -exampleNeutron - - - -Semantics.Physics.Examples->Semantics.Physics.Examples.exampleNeutron - - -contains - - - -Semantics.Physics.Examples.exampleNeutrino - -def -exampleNeutrino - - - -Semantics.Physics.Examples->Semantics.Physics.Examples.exampleNeutrino - - -contains - - - -Semantics.Physics.Examples.exampleUpQuark - -def -exampleUpQuark - - - -Semantics.Physics.Examples->Semantics.Physics.Examples.exampleUpQuark - - -contains - - - -Semantics.Physics.Examples.exampleDownQuark - -def -exampleDownQuark - - - -Semantics.Physics.Examples->Semantics.Physics.Examples.exampleDownQuark - - -contains - - - -Semantics.Physics.H0ValveTest - -module -H0ValveTest - - - -Semantics.Physics.H0ValveTest.modelConsistentWithPlanck - -theorem -modelConsistentWithPlanck - - - -Semantics.Physics.H0ValveTest->Semantics.Physics.H0ValveTest.modelConsistentWithPlanck - - -contains - - - -Semantics.Physics.H0ValveTest.modelConsistentWithDesi - -theorem -modelConsistentWithDesi - - - -Semantics.Physics.H0ValveTest->Semantics.Physics.H0ValveTest.modelConsistentWithDesi - - -contains - - - -Semantics.Physics.H0ValveTest.modelInconsistentWithSh0es - -theorem -modelInconsistentWithSh0es - - - -Semantics.Physics.H0ValveTest->Semantics.Physics.H0ValveTest.modelInconsistentWithSh0es - - -contains - - - -Semantics.Physics.H0ValveTest.sh0esTensionModelFlag - -theorem -sh0esTensionModelFlag - - - -Semantics.Physics.H0ValveTest->Semantics.Physics.H0ValveTest.sh0esTensionModelFlag - - -contains - - - -Semantics.Physics.H0ValveTest.h0Planck - -def -h0Planck - - - -Semantics.Physics.H0ValveTest->Semantics.Physics.H0ValveTest.h0Planck - - -contains - - - -Semantics.Physics.H0ValveTest.h0PlanckSigma - -def -h0PlanckSigma - - - -Semantics.Physics.H0ValveTest->Semantics.Physics.H0ValveTest.h0PlanckSigma - - -contains - - - -Semantics.Physics.H0ValveTest.h0SH0ES - -def -h0SH0ES - - - -Semantics.Physics.H0ValveTest->Semantics.Physics.H0ValveTest.h0SH0ES - - -contains - - - -Semantics.Physics.H0ValveTest.h0SH0ESSigma - -def -h0SH0ESSigma - - - -Semantics.Physics.H0ValveTest->Semantics.Physics.H0ValveTest.h0SH0ESSigma - - -contains - - - -Semantics.Physics.H0ValveTest.h0DESI - -def -h0DESI - - - -Semantics.Physics.H0ValveTest->Semantics.Physics.H0ValveTest.h0DESI - - -contains - - - -Semantics.Physics.H0ValveTest.h0DESISigma - -def -h0DESISigma - - - -Semantics.Physics.H0ValveTest->Semantics.Physics.H0ValveTest.h0DESISigma - - -contains - - - -Semantics.Physics.H0ValveTest.h0Model - -def -h0Model - - - -Semantics.Physics.H0ValveTest->Semantics.Physics.H0ValveTest.h0Model - - -contains - - - -Semantics.Physics.H0ValveTest.h0ModelSigma - -def -h0ModelSigma - - - -Semantics.Physics.H0ValveTest->Semantics.Physics.H0ValveTest.h0ModelSigma - - -contains - - - -Semantics.Physics.Interaction - -module -Interaction - - - -Semantics.Physics.Interaction->Semantics.Physics.Conservation - - -imports - - - -Semantics.Physics.Interaction.coreConservedQuantities - -def -coreConservedQuantities - - - -Semantics.Physics.Interaction->Semantics.Physics.Interaction.coreConservedQuantities - - -contains - - - -Semantics.Physics.NBody - -module -NBody - - - -Semantics.Physics.NBody.hamiltonian_total - -theorem -hamiltonian_total - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.hamiltonian_total - - -contains - - - -Semantics.Physics.NBody.kepler_particle_count - -theorem -kepler_particle_count - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.kepler_particle_count - - -contains - - - -Semantics.Physics.NBody.kepler_particle_conservation - -theorem -kepler_particle_conservation - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.kepler_particle_conservation - - -contains - - - -Semantics.Physics.NBody.nuvMapAssignmentsBounded - -theorem -nuvMapAssignmentsBounded - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.nuvMapAssignmentsBounded - - -contains - - - -Semantics.Physics.NBody.repeatChainsMinOccurrences_empty - -theorem -repeatChainsMinOccurrences_empty - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.repeatChainsMinOccurrences_empty - - -contains - - - -Semantics.Physics.NBody.lookupSolveHint_mem - -theorem -lookupSolveHint_mem - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.lookupSolveHint_mem - - -contains - - - -Semantics.Physics.NBody.nuvCounterMonotone - -theorem -nuvCounterMonotone - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.nuvCounterMonotone - - -contains - - - -Semantics.Physics.NBody.inBank_freq - -theorem -inBank_freq - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.inBank_freq - - -contains - - - -Semantics.Physics.NBody.braidDecompressValid - -theorem -braidDecompressValid - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.braidDecompressValid - - -contains - - - -Semantics.Physics.NBody.slug3SortPreserves - -theorem -slug3SortPreserves - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.slug3SortPreserves - - -contains - - - -Semantics.Physics.NBody.oiscCompressionRatio - -theorem -oiscCompressionRatio - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.oiscCompressionRatio - - -contains - - - -Semantics.Physics.NBody.mkvContainerPreserves - -theorem -mkvContainerPreserves - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.mkvContainerPreserves - - -contains - - - -Semantics.Physics.NBody.particle_conservation - -theorem -particle_conservation - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.particle_conservation - - -contains - - - -Semantics.Physics.NBody.empty - -def -empty - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.empty - - -contains - - - -Semantics.Physics.NBody.addParticle - -def -addParticle - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.addParticle - - -contains - - - -Semantics.Physics.NBody.particleCount - -def -particleCount - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.particleCount - - -contains - - - -Semantics.Physics.NBody.vecScale - -def -vecScale - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.vecScale - - -contains - - - -Semantics.Physics.NBody.vecAdd - -def -vecAdd - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.vecAdd - - -contains - - - -Semantics.Physics.NBody.vecSub - -def -vecSub - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.vecSub - - -contains - - - -Semantics.Physics.NBody.vecDot - -def -vecDot - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.vecDot - - -contains - - - -Semantics.Physics.NBody.fix16FromNat - -def -fix16FromNat - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.fix16FromNat - - -contains - - - -Semantics.Physics.NBody.gravitationalForce - -def -gravitationalForce - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.gravitationalForce - - -contains - - - -Semantics.Physics.NBody.coulombForce - -def -coulombForce - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.coulombForce - - -contains - - - -Semantics.Physics.NBody.repulsiveForce - -def -repulsiveForce - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.repulsiveForce - - -contains - - - -Semantics.Physics.NBody.totalForceOnParticle - -def -totalForceOnParticle - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.totalForceOnParticle - - -contains - - - -Semantics.Physics.NBody.quadrupoleGWPowerLoss - -def -quadrupoleGWPowerLoss - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.quadrupoleGWPowerLoss - - -contains - - - -Semantics.Physics.NBody.isRelativisticParticle - -def -isRelativisticParticle - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.isRelativisticParticle - - -contains - - - -Semantics.Physics.NBody.detectRelativisticRegime - -def -detectRelativisticRegime - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.detectRelativisticRegime - - -contains - - - -Semantics.Physics.NBody.totalInformation - -def -totalInformation - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.totalInformation - - -contains - - - -Semantics.Physics.NBody.transferInformationPhase - -def -transferInformationPhase - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.transferInformationPhase - - -contains - - - -Semantics.Physics.NBody.velocityVerletStep - -def -velocityVerletStep - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.velocityVerletStep - - -contains - - - -Semantics.Physics.NBody.computeKineticEnergy - -def -computeKineticEnergy - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.computeKineticEnergy - - -contains - - - -Semantics.Physics.NBody.computeGravitationalPotential - -def -computeGravitationalPotential - - - -Semantics.Physics.NBody->Semantics.Physics.NBody.computeGravitationalPotential - - -contains - - - -Semantics.Physics.ParticleDomain.domain - -def -domain - - - -Semantics.Physics.ParticleDomain->Semantics.Physics.ParticleDomain.domain - - -contains - - - -Semantics.Physics.ParticleDomain.maxParticleKinds - -def -maxParticleKinds - - - -Semantics.Physics.ParticleDomain->Semantics.Physics.ParticleDomain.maxParticleKinds - - -contains - - - -Semantics.Physics.ParticleDomain.maxQuantitiesPerParticle - -def -maxQuantitiesPerParticle - - - -Semantics.Physics.ParticleDomain->Semantics.Physics.ParticleDomain.maxQuantitiesPerParticle - - -contains - - - -Semantics.Physics.ParticleDomain.maxInteractionArity - -def -maxInteractionArity - - - -Semantics.Physics.ParticleDomain->Semantics.Physics.ParticleDomain.maxInteractionArity - - -contains - - - -Semantics.Physics.ParticleDomain.toNat - -def -toNat - - - -Semantics.Physics.ParticleDomain->Semantics.Physics.ParticleDomain.toNat - - -contains - - - -Semantics.Physics.ParticleDomain.toAddress - -def -toAddress - - - -Semantics.Physics.ParticleDomain->Semantics.Physics.ParticleDomain.toAddress - - -contains - - - -Semantics.Physics.PreRegisteredPredictions - -module -PreRegisteredPredictions - - - -Semantics.Physics.PreRegisteredPredictions.for - -theorem -for - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.for - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p01CentralNonneg - -theorem -p01CentralNonneg - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p01CentralNonneg - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p01EnvelopeValid - -theorem -p01EnvelopeValid - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p01EnvelopeValid - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p02CentralNonneg - -theorem -p02CentralNonneg - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p02CentralNonneg - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p02EnvelopeValid - -theorem -p02EnvelopeValid - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p02EnvelopeValid - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p03CentralNonneg - -theorem -p03CentralNonneg - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p03CentralNonneg - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p03EnvelopeValid - -theorem -p03EnvelopeValid - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p03EnvelopeValid - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p04CentralNonneg - -theorem -p04CentralNonneg - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p04CentralNonneg - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p04EnvelopeValid - -theorem -p04EnvelopeValid - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p04EnvelopeValid - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p05CentralNonneg - -theorem -p05CentralNonneg - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p05CentralNonneg - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p05EnvelopeValid - -theorem -p05EnvelopeValid - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p05EnvelopeValid - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p06CentralNonneg - -theorem -p06CentralNonneg - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p06CentralNonneg - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p06EnvelopeValid - -theorem -p06EnvelopeValid - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p06EnvelopeValid - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p07CentralNonneg - -theorem -p07CentralNonneg - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p07CentralNonneg - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p07EnvelopeValid - -theorem -p07EnvelopeValid - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p07EnvelopeValid - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p08CentralNonneg - -theorem -p08CentralNonneg - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p08CentralNonneg - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p08EnvelopeValid - -theorem -p08EnvelopeValid - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p08EnvelopeValid - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p09CentralNonneg - -theorem -p09CentralNonneg - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p09CentralNonneg - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p09EnvelopeValid - -theorem -p09EnvelopeValid - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p09EnvelopeValid - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p10UpperBoundPositive - -theorem -p10UpperBoundPositive - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p10UpperBoundPositive - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p10EnvelopeValid - -theorem -p10EnvelopeValid - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p10EnvelopeValid - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.scale - -def -scale - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.scale - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p01RydbergDelta1 - -def -p01RydbergDelta1 - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p01RydbergDelta1 - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p02MagneticWallFraction - -def -p02MagneticWallFraction - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p02MagneticWallFraction - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p03PercolationThreshold - -def -p03PercolationThreshold - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p03PercolationThreshold - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p04EcologicalRegimeShift - -def -p04EcologicalRegimeShift - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p04EcologicalRegimeShift - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p05MottCriterion - -def -p05MottCriterion - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p05MottCriterion - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p06WeakValueLimit - -def -p06WeakValueLimit - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p06WeakValueLimit - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p07SpeciesAreaExponent - -def -p07SpeciesAreaExponent - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p07SpeciesAreaExponent - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p08GranularVoidFraction - -def -p08GranularVoidFraction - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p08GranularVoidFraction - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p09FQHEFillingFactor - -def -p09FQHEFillingFactor - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p09FQHEFillingFactor - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p10JupiterResonanceNull - -def -p10JupiterResonanceNull - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p10JupiterResonanceNull - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.p11MengerPeriodRatio - -def -p11MengerPeriodRatio - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.p11MengerPeriodRatio - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.isConfirmed - -def -isConfirmed - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.isConfirmed - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.isFalsified - -def -isFalsified - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.isFalsified - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.gradeThresholds - -def -gradeThresholds - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.gradeThresholds - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.totalPredictions - -def -totalPredictions - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.totalPredictions - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.totalActivePredictions - -def -totalActivePredictions - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.totalActivePredictions - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.braidcorePredictionRegistry - -def -braidcorePredictionRegistry - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.braidcorePredictionRegistry - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.f01DopingRange - -def -f01DopingRange - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.f01DopingRange - - -contains - - - -Semantics.Physics.PreRegisteredPredictions.f02FineStructure28_27 - -def -f02FineStructure28_27 - - - -Semantics.Physics.PreRegisteredPredictions->Semantics.Physics.PreRegisteredPredictions.f02FineStructure28_27 - - -contains - - - -Semantics.Physics.Projection - -module -Projection - - - -Semantics.Physics.Projection->Semantics.Physics.Boundary - - -imports - - - -Semantics.Physics.Projection.faithfulMeasurement - -def -faithfulMeasurement - - - -Semantics.Physics.Projection->Semantics.Physics.Projection.faithfulMeasurement - - -contains - - - -Semantics.Physics.Q16Utils - -module -Q16Utils - - - -Semantics.Physics.Q16Utils.scale - -def -scale - - - -Semantics.Physics.Q16Utils->Semantics.Physics.Q16Utils.scale - - -contains - - - -Semantics.Physics.Q16Utils.absDiff - -def -absDiff - - - -Semantics.Physics.Q16Utils->Semantics.Physics.Q16Utils.absDiff - - -contains - - - -Semantics.Physics.Q16Utils.q16Mul - -def -q16Mul - - - -Semantics.Physics.Q16Utils->Semantics.Physics.Q16Utils.q16Mul - - -contains - - - -Semantics.Physics.Q16Utils.q16Div - -def -q16Div - - - -Semantics.Physics.Q16Utils->Semantics.Physics.Q16Utils.q16Div - - -contains - - - -Semantics.Physics.QCLEnergy - -module -QCLEnergy - - - -Semantics.Physics.QCLEnergy.hcEvNm - -def -hcEvNm - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.hcEvNm - - -contains - - - -Semantics.Physics.QCLEnergy.eVOne - -def -eVOne - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.eVOne - - -contains - - - -Semantics.Physics.QCLEnergy.photonEnergy - -def -photonEnergy - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.photonEnergy - - -contains - - - -Semantics.Physics.QCLEnergy.subbandSpacing - -def -subbandSpacing - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.subbandSpacing - - -contains - - - -Semantics.Physics.QCLEnergy.cascadeGain - -def -cascadeGain - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.cascadeGain - - -contains - - - -Semantics.Physics.QCLEnergy.alphaThermal - -def -alphaThermal - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.alphaThermal - - -contains - - - -Semantics.Physics.QCLEnergy.temperatureTuning - -def -temperatureTuning - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.temperatureTuning - - -contains - - - -Semantics.Physics.QCLEnergy.injectionEfficiency - -def -injectionEfficiency - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.injectionEfficiency - - -contains - - - -Semantics.Physics.QCLEnergy.inAtmWindow - -def -inAtmWindow - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.inAtmWindow - - -contains - - - -Semantics.Physics.QCLEnergy.atmosphericTransmission - -def -atmosphericTransmission - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.atmosphericTransmission - - -contains - - - -Semantics.Physics.QCLEnergy.wavenumber - -def -wavenumber - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.wavenumber - - -contains - - - -Semantics.Physics.QCLEnergy.tuningRangeDFB - -def -tuningRangeDFB - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.tuningRangeDFB - - -contains - - - -Semantics.Physics.QCLEnergy.tuningRangeEC - -def -tuningRangeEC - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.tuningRangeEC - - -contains - - - -Semantics.Physics.QCLEnergy.qclInvariant - -def -qclInvariant - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.qclInvariant - - -contains - - - -Semantics.Physics.QCLEnergy.qclCost - -def -qclCost - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.qclCost - - -contains - - - -Semantics.Physics.QCLEnergy.qclPhysicalBind - -def -qclPhysicalBind - - - -Semantics.Physics.QCLEnergy->Semantics.Physics.QCLEnergy.qclPhysicalBind - - -contains - - - -Semantics.Physics.RydbergExperimentalTest - -module -RydbergExperimentalTest - - - -Semantics.Physics.RydbergExperimentalTest.predictedFracShiftN50_nonneg - -theorem -predictedFracShiftN50_nonneg - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.predictedFracShiftN50_nonneg - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.upperGeLowerN50 - -theorem -upperGeLowerN50 - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.upperGeLowerN50 - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.predictedShiftN40Bounded - -theorem -predictedShiftN40Bounded - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.predictedShiftN40Bounded - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.predictedShiftN50Bounded - -theorem -predictedShiftN50Bounded - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.predictedShiftN50Bounded - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.consistencyReflexiveN0 - -theorem -consistencyReflexiveN0 - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.consistencyReflexiveN0 - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.scale - -def -scale - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.scale - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.voidFractionC - -def -voidFractionC - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.voidFractionC - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.voidFractionCSigma - -def -voidFractionCSigma - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.voidFractionCSigma - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.cLower - -def -cLower - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.cLower - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.cUpper - -def -cUpper - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.cUpper - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.predictedFracShift - -def -predictedFracShift - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.predictedFracShift - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.predictedFracShiftLower - -def -predictedFracShiftLower - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.predictedFracShiftLower - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.predictedFracShiftUpper - -def -predictedFracShiftUpper - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.predictedFracShiftUpper - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.fracShiftConsistent - -def -fracShiftConsistent - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.fracShiftConsistent - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.testStates - -def -testStates - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.testStates - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.minConsistentStates - -def -minConsistentStates - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.minConsistentStates - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.falsificationThreshold - -def -falsificationThreshold - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.falsificationThreshold - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.countConsistent - -def -countConsistent - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.countConsistent - - -contains - - - -Semantics.Physics.RydbergExperimentalTest.rydbergPreRegistration - -def -rydbergPreRegistration - - - -Semantics.Physics.RydbergExperimentalTest->Semantics.Physics.RydbergExperimentalTest.rydbergPreRegistration - - -contains - - - -Semantics.Physics.StringStarConstants - -module -StringStarConstants - - - -Semantics.Physics.StringStarConstants.gConst - -def -gConst - - - -Semantics.Physics.StringStarConstants->Semantics.Physics.StringStarConstants.gConst - - -contains - - - -Semantics.Physics.StringStarConstants.cConst - -def -cConst - - - -Semantics.Physics.StringStarConstants->Semantics.Physics.StringStarConstants.cConst - - -contains - - - -Semantics.Physics.StringStarConstants.hbarConst - -def -hbarConst - - - -Semantics.Physics.StringStarConstants->Semantics.Physics.StringStarConstants.hbarConst - - -contains - - - -Semantics.Physics.StringStarConstants.kBConst - -def -kBConst - - - -Semantics.Physics.StringStarConstants->Semantics.Physics.StringStarConstants.kBConst - - -contains - - - -Semantics.Physics.StringStarConstants.schwarzschildFactor - -def -schwarzschildFactor - - - -Semantics.Physics.StringStarConstants->Semantics.Physics.StringStarConstants.schwarzschildFactor - - -contains - - - -Semantics.Physics.StringStarConstants.hawkingFactor - -def -hawkingFactor - - - -Semantics.Physics.StringStarConstants->Semantics.Physics.StringStarConstants.hawkingFactor - - -contains - - - -Semantics.Physics.StringStarConstants.entropyFactor - -def -entropyFactor - - - -Semantics.Physics.StringStarConstants->Semantics.Physics.StringStarConstants.entropyFactor - - -contains - - - -Semantics.Physics.StringStarConstants.quadrupoleGWFactor - -def -quadrupoleGWFactor - - - -Semantics.Physics.StringStarConstants->Semantics.Physics.StringStarConstants.quadrupoleGWFactor - - -contains - - - -Semantics.Physics.StringStarConstants.relativisticThreshold - -def -relativisticThreshold - - - -Semantics.Physics.StringStarConstants->Semantics.Physics.StringStarConstants.relativisticThreshold - - -contains - - - -Semantics.Physics.SuperpositionalBoundaryLayers - -module -SuperpositionalBoundaryLayers - - - -Semantics.Physics.SuperpositionalBoundaryLayers.smoothstepZero - -theorem -smoothstepZero - - - -Semantics.Physics.SuperpositionalBoundaryLayers->Semantics.Physics.SuperpositionalBoundaryLayers.smoothstepZero - - -contains - - - -Semantics.Physics.SuperpositionalBoundaryLayers.smoothstepOne - -theorem -smoothstepOne - - - -Semantics.Physics.SuperpositionalBoundaryLayers->Semantics.Physics.SuperpositionalBoundaryLayers.smoothstepOne - - -contains - - - -Semantics.Physics.SuperpositionalBoundaryLayers.smoothstepMid - -theorem -smoothstepMid - - - -Semantics.Physics.SuperpositionalBoundaryLayers->Semantics.Physics.SuperpositionalBoundaryLayers.smoothstepMid - - -contains - - - -Semantics.Physics.SuperpositionalBoundaryLayers.smoothstepMonotonic - -theorem -smoothstepMonotonic - - - -Semantics.Physics.SuperpositionalBoundaryLayers->Semantics.Physics.SuperpositionalBoundaryLayers.smoothstepMonotonic - - -contains - - - -Semantics.Physics.SuperpositionalBoundaryLayers.smoothstep - -def -smoothstep - - - -Semantics.Physics.SuperpositionalBoundaryLayers->Semantics.Physics.SuperpositionalBoundaryLayers.smoothstep - - -contains - - - -Semantics.Physics.Tests - -module -Tests - - - -Semantics.Physics.Tests->Semantics.Physics.Interaction - - -imports - - - -Semantics.Physics.Tests.exampleChargeNotConserved - -theorem -exampleChargeNotConserved - - - -Semantics.Physics.Tests->Semantics.Physics.Tests.exampleChargeNotConserved - - -contains - - - -Semantics.Physics.Tests.exampleChargeConserved - -theorem -exampleChargeConserved - - - -Semantics.Physics.Tests->Semantics.Physics.Tests.exampleChargeConserved - - -contains - - - -Semantics.Physics.Tests.exampleLeptonConserved - -theorem -exampleLeptonConserved - - - -Semantics.Physics.Tests->Semantics.Physics.Tests.exampleLeptonConserved - - -contains - - - -Semantics.Physics.Tests.exampleMeasurementFaithful - -theorem -exampleMeasurementFaithful - - - -Semantics.Physics.Tests->Semantics.Physics.Tests.exampleMeasurementFaithful - - -contains - - - -Semantics.Physics.Tests.electronDomainFermion - -theorem -electronDomainFermion - - - -Semantics.Physics.Tests->Semantics.Physics.Tests.electronDomainFermion - - -contains - - - -Semantics.Physics.Tests.photonDomainBoson - -theorem -photonDomainBoson - - - -Semantics.Physics.Tests->Semantics.Physics.Tests.photonDomainBoson - - -contains - - - -Semantics.Physics.Tests.protonDomainComposite - -theorem -protonDomainComposite - - - -Semantics.Physics.Tests->Semantics.Physics.Tests.protonDomainComposite - - -contains - - - -Semantics.Physics.Tests.electronAddressBounded - -theorem -electronAddressBounded - - - -Semantics.Physics.Tests->Semantics.Physics.Tests.electronAddressBounded - - -contains - - - -Semantics.Physics.Tests.omegaAddressBounded - -theorem -omegaAddressBounded - - - -Semantics.Physics.Tests->Semantics.Physics.Tests.omegaAddressBounded - - -contains - - - -Semantics.Physics.Tests.badInteraction - -def -badInteraction - - - -Semantics.Physics.Tests->Semantics.Physics.Tests.badInteraction - - -contains - - - -Semantics.Physics.Tests.correctAnnihilation - -def -correctAnnihilation - - - -Semantics.Physics.Tests->Semantics.Physics.Tests.correctAnnihilation - - -contains - - - -Semantics.Physics.Tests.exampleMeasurement - -def -exampleMeasurement - - - -Semantics.Physics.Tests->Semantics.Physics.Tests.exampleMeasurement - - -contains - - - -Semantics.Physics.Tests.examplePhysicalPath - -def -examplePhysicalPath - - - -Semantics.Physics.Tests->Semantics.Physics.Tests.examplePhysicalPath - - -contains - - - -Semantics.Physics.UncertaintyBounds - -module -UncertaintyBounds - - - -Semantics.Physics.UncertaintyBounds.for - -theorem -for - - - -Semantics.Physics.UncertaintyBounds->Semantics.Physics.UncertaintyBounds.for - - -contains - - - -Semantics.Physics.UncertaintyBounds.residualBounded_reflexive - -theorem -residualBounded_reflexive - - - -Semantics.Physics.UncertaintyBounds->Semantics.Physics.UncertaintyBounds.residualBounded_reflexive - - -contains - - - -Semantics.Physics.UncertaintyBounds.residualBounded_weaker_w0 - -theorem -residualBounded_weaker_w0 - - - -Semantics.Physics.UncertaintyBounds->Semantics.Physics.UncertaintyBounds.residualBounded_weaker_w0 - - -contains - - - -Semantics.Physics.UncertaintyBounds.honestW0_calibration_identity - -theorem -honestW0_calibration_identity - - - -Semantics.Physics.UncertaintyBounds->Semantics.Physics.UncertaintyBounds.honestW0_calibration_identity - - -contains - - - -Semantics.Physics.UncertaintyBounds.honestSigma8_model_bounded - -theorem -honestSigma8_model_bounded - - - -Semantics.Physics.UncertaintyBounds->Semantics.Physics.UncertaintyBounds.honestSigma8_model_bounded - - -contains - - - -Semantics.Physics.UncertaintyBounds.mkPrediction - -def -mkPrediction - - - -Semantics.Physics.UncertaintyBounds->Semantics.Physics.UncertaintyBounds.mkPrediction - - -contains - - - -Semantics.Physics.UncertaintyBounds.consistentWithinNSigma - -def -consistentWithinNSigma - - - -Semantics.Physics.UncertaintyBounds->Semantics.Physics.UncertaintyBounds.consistentWithinNSigma - - -contains - - - -Semantics.Physics.UncertaintyBounds.residualBounded - -def -residualBounded - - - -Semantics.Physics.UncertaintyBounds->Semantics.Physics.UncertaintyBounds.residualBounded - - -contains - - - -Semantics.Physics.UncertaintyBounds.percentResidual - -def -percentResidual - - - -Semantics.Physics.UncertaintyBounds->Semantics.Physics.UncertaintyBounds.percentResidual - - -contains - - - -Semantics.Physics.UncertaintyBounds.honestW0 - -def -honestW0 - - - -Semantics.Physics.UncertaintyBounds->Semantics.Physics.UncertaintyBounds.honestW0 - - -contains - - - -Semantics.Physics.UncertaintyBounds.honestSigma8 - -def -honestSigma8 - - - -Semantics.Physics.UncertaintyBounds->Semantics.Physics.UncertaintyBounds.honestSigma8 - - -contains - - - -Semantics.Physics.UncertaintyBounds.honestOmegaM - -def -honestOmegaM - - - -Semantics.Physics.UncertaintyBounds->Semantics.Physics.UncertaintyBounds.honestOmegaM - - -contains - - - -Semantics.Physics.UncertaintyBounds.honestWa - -def -honestWa - - - -Semantics.Physics.UncertaintyBounds->Semantics.Physics.UncertaintyBounds.honestWa - - -contains - - - -Semantics.Physics.UncertaintyBounds.honestAlphaInverse - -def -honestAlphaInverse - - - -Semantics.Physics.UncertaintyBounds->Semantics.Physics.UncertaintyBounds.honestAlphaInverse - - -contains - - - -Semantics.Physics.UniversalBridge - -module -UniversalBridge - - - -Semantics.Physics.UniversalBridge.hermiteSplineAtZero - -theorem -hermiteSplineAtZero - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.hermiteSplineAtZero - - -contains - - - -Semantics.Physics.UniversalBridge.hermiteSplineAtOne - -theorem -hermiteSplineAtOne - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.hermiteSplineAtOne - - -contains - - - -Semantics.Physics.UniversalBridge.h00AtZero - -theorem -h00AtZero - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.h00AtZero - - -contains - - - -Semantics.Physics.UniversalBridge.h01AtZero - -theorem -h01AtZero - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.h01AtZero - - -contains - - - -Semantics.Physics.UniversalBridge.h10AtZero - -theorem -h10AtZero - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.h10AtZero - - -contains - - - -Semantics.Physics.UniversalBridge.h11AtZero - -theorem -h11AtZero - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.h11AtZero - - -contains - - - -Semantics.Physics.UniversalBridge.h00AtOne - -theorem -h00AtOne - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.h00AtOne - - -contains - - - -Semantics.Physics.UniversalBridge.h01AtOne - -theorem -h01AtOne - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.h01AtOne - - -contains - - - -Semantics.Physics.UniversalBridge.h10AtOne - -theorem -h10AtOne - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.h10AtOne - - -contains - - - -Semantics.Physics.UniversalBridge.h11AtOne - -theorem -h11AtOne - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.h11AtOne - - -contains - - - -Semantics.Physics.UniversalBridge.intermittencyAtLaminarExitSome - -theorem -intermittencyAtLaminarExitSome - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.intermittencyAtLaminarExitSome - - -contains - - - -Semantics.Physics.UniversalBridge.intermittencyAtLaminarExit - -theorem -intermittencyAtLaminarExit - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.intermittencyAtLaminarExit - - -contains - - - -Semantics.Physics.UniversalBridge.intermittencyAtTurbulentEntrySome - -theorem -intermittencyAtTurbulentEntrySome - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.intermittencyAtTurbulentEntrySome - - -contains - - - -Semantics.Physics.UniversalBridge.intermittencyAtTurbulentEntry - -theorem -intermittencyAtTurbulentEntry - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.intermittencyAtTurbulentEntry - - -contains - - - -Semantics.Physics.UniversalBridge.intermittencyMidpointSome - -theorem -intermittencyMidpointSome - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.intermittencyMidpointSome - - -contains - - - -Semantics.Physics.UniversalBridge.intermittencyMidpointInRange - -theorem -intermittencyMidpointInRange - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.intermittencyMidpointInRange - - -contains - - - -Semantics.Physics.UniversalBridge.frictionAtLaminarExitSome - -theorem -frictionAtLaminarExitSome - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.frictionAtLaminarExitSome - - -contains - - - -Semantics.Physics.UniversalBridge.frictionAtLaminarExit - -theorem -frictionAtLaminarExit - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.frictionAtLaminarExit - - -contains - - - -Semantics.Physics.UniversalBridge.frictionAtTurbulentEntrySome - -theorem -frictionAtTurbulentEntrySome - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.frictionAtTurbulentEntrySome - - -contains - - - -Semantics.Physics.UniversalBridge.frictionAtTurbulentEntry - -theorem -frictionAtTurbulentEntry - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.frictionAtTurbulentEntry - - -contains - - - -Semantics.Physics.UniversalBridge.laminarClassification - -theorem -laminarClassification - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.laminarClassification - - -contains - - - -Semantics.Physics.UniversalBridge.transitionalClassification - -theorem -transitionalClassification - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.transitionalClassification - - -contains - - - -Semantics.Physics.UniversalBridge.turbulentClassification - -theorem -turbulentClassification - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.turbulentClassification - - -contains - - - -Semantics.Physics.UniversalBridge.laminarGate - -theorem -laminarGate - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.laminarGate - - -contains - - - -Semantics.Physics.UniversalBridge.transitionalGate - -theorem -transitionalGate - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.transitionalGate - - -contains - - - -Semantics.Physics.UniversalBridge.turbulentGate - -theorem -turbulentGate - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.turbulentGate - - -contains - - - -Semantics.Physics.UniversalBridge.reLaminar - -def -reLaminar - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.reLaminar - - -contains - - - -Semantics.Physics.UniversalBridge.reTurbulent - -def -reTurbulent - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.reTurbulent - - -contains - - - -Semantics.Physics.UniversalBridge.hInterval - -def -hInterval - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.hInterval - - -contains - - - -Semantics.Physics.UniversalBridge.y0 - -def -y0 - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.y0 - - -contains - - - -Semantics.Physics.UniversalBridge.y1 - -def -y1 - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.y1 - - -contains - - - -Semantics.Physics.UniversalBridge.hM0 - -def -hM0 - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.hM0 - - -contains - - - -Semantics.Physics.UniversalBridge.hM1 - -def -hM1 - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.hM1 - - -contains - - - -Semantics.Physics.UniversalBridge.q16Add - -def -q16Add - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.q16Add - - -contains - - - -Semantics.Physics.UniversalBridge.q16Sub - -def -q16Sub - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.q16Sub - - -contains - - - -Semantics.Physics.UniversalBridge.hermiteSharedTerms - -def -hermiteSharedTerms - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.hermiteSharedTerms - - -contains - - - -Semantics.Physics.UniversalBridge.normalizedT - -def -normalizedT - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.normalizedT - - -contains - - - -Semantics.Physics.UniversalBridge.h00 - -def -h00 - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.h00 - - -contains - - - -Semantics.Physics.UniversalBridge.h01 - -def -h01 - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.h01 - - -contains - - - -Semantics.Physics.UniversalBridge.h10 - -def -h10 - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.h10 - - -contains - - - -Semantics.Physics.UniversalBridge.h11 - -def -h11 - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.h11 - - -contains - - - -Semantics.Physics.UniversalBridge.hermiteSpline - -def -hermiteSpline - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.hermiteSpline - - -contains - - - -Semantics.Physics.UniversalBridge.frictionFactor - -def -frictionFactor - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.frictionFactor - - -contains - - - -Semantics.Physics.UniversalBridge.intermittency - -def -intermittency - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.intermittency - - -contains - - - -Semantics.Physics.UniversalBridge.classifyRegime - -def -classifyRegime - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.classifyRegime - - -contains - - - -Semantics.Physics.UniversalBridge.controllerGate - -def -controllerGate - - - -Semantics.Physics.UniversalBridge->Semantics.Physics.UniversalBridge.controllerGate - - -contains - - - -Semantics.Physics.ValveTestSuite - -module -ValveTestSuite - - - -Semantics.Physics.ValveTestSuite.s8Within3SigmaPlanck - -theorem -s8Within3SigmaPlanck - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.s8Within3SigmaPlanck - - -contains - - - -Semantics.Physics.ValveTestSuite.s8Within3SigmaDes - -theorem -s8Within3SigmaDes - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.s8Within3SigmaDes - - -contains - - - -Semantics.Physics.ValveTestSuite.s8Within2SigmaDes - -theorem -s8Within2SigmaDes - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.s8Within2SigmaDes - - -contains - - - -Semantics.Physics.ValveTestSuite.s8Within3SigmaKids - -theorem -s8Within3SigmaKids - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.s8Within3SigmaKids - - -contains - - - -Semantics.Physics.ValveTestSuite.s8CloserToDes - -theorem -s8CloserToDes - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.s8CloserToDes - - -contains - - - -Semantics.Physics.ValveTestSuite.s8Outside2SigmaPlanck - -theorem -s8Outside2SigmaPlanck - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.s8Outside2SigmaPlanck - - -contains - - - -Semantics.Physics.ValveTestSuite.baoDmZ051Within1Sigma - -theorem -baoDmZ051Within1Sigma - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.baoDmZ051Within1Sigma - - -contains - - - -Semantics.Physics.ValveTestSuite.baoDhZ051Within3Sigma - -theorem -baoDhZ051Within3Sigma - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.baoDhZ051Within3Sigma - - -contains - - - -Semantics.Physics.ValveTestSuite.ageAboveGlobularBound - -theorem -ageAboveGlobularBound - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.ageAboveGlobularBound - - -contains - - - -Semantics.Physics.ValveTestSuite.ageOlderThanEarth - -theorem -ageOlderThanEarth - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.ageOlderThanEarth - - -contains - - - -Semantics.Physics.ValveTestSuite.modelS8 - -def -modelS8 - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.modelS8 - - -contains - - - -Semantics.Physics.ValveTestSuite.planckS8 - -def -planckS8 - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.planckS8 - - -contains - - - -Semantics.Physics.ValveTestSuite.planckS8Sig - -def -planckS8Sig - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.planckS8Sig - - -contains - - - -Semantics.Physics.ValveTestSuite.desS8 - -def -desS8 - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.desS8 - - -contains - - - -Semantics.Physics.ValveTestSuite.desS8Sig - -def -desS8Sig - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.desS8Sig - - -contains - - - -Semantics.Physics.ValveTestSuite.kidsS8 - -def -kidsS8 - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.kidsS8 - - -contains - - - -Semantics.Physics.ValveTestSuite.kidsS8Sig - -def -kidsS8Sig - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.kidsS8Sig - - -contains - - - -Semantics.Physics.ValveTestSuite.baoDMModel - -def -baoDMModel - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.baoDMModel - - -contains - - - -Semantics.Physics.ValveTestSuite.baoDMDesi - -def -baoDMDesi - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.baoDMDesi - - -contains - - - -Semantics.Physics.ValveTestSuite.baoDMSig - -def -baoDMSig - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.baoDMSig - - -contains - - - -Semantics.Physics.ValveTestSuite.baoDHModel - -def -baoDHModel - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.baoDHModel - - -contains - - - -Semantics.Physics.ValveTestSuite.baoDHDesi - -def -baoDHDesi - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.baoDHDesi - - -contains - - - -Semantics.Physics.ValveTestSuite.baoDHSig - -def -baoDHSig - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.baoDHSig - - -contains - - - -Semantics.Physics.ValveTestSuite.modelAge - -def -modelAge - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.modelAge - - -contains - - - -Semantics.Physics.ValveTestSuite.planckAge - -def -planckAge - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.planckAge - - -contains - - - -Semantics.Physics.ValveTestSuite.planckAgeSig - -def -planckAgeSig - - - -Semantics.Physics.ValveTestSuite->Semantics.Physics.ValveTestSuite.planckAgeSig - - -contains - - - -Semantics.Physics - -module -Physics - - - -Semantics.Physics->Semantics.Physics.Q16Utils - - -imports - - - -Semantics.PhysicsData.LHCb_BToKStarMuMu - -module -LHCb_BToKStarMuMu - - - -Semantics.PhysicsData.LHCb_BToKStarMuMu.lhcbData - -def -lhcbData - - - -Semantics.PhysicsData.LHCb_BToKStarMuMu->Semantics.PhysicsData.LHCb_BToKStarMuMu.lhcbData - - -contains - - - -Semantics.PhysicsData.LHCb_BToKStarMuMu.smPredictions - -def -smPredictions - - - -Semantics.PhysicsData.LHCb_BToKStarMuMu->Semantics.PhysicsData.LHCb_BToKStarMuMu.smPredictions - - -contains - - - -Semantics.PhysicsData.LHCb_BToKStarMuMu.computeDeviation - -def -computeDeviation - - - -Semantics.PhysicsData.LHCb_BToKStarMuMu->Semantics.PhysicsData.LHCb_BToKStarMuMu.computeDeviation - - -contains - - - -Semantics.PhysicsData.LHCb_BToKStarMuMu.globalAnomalySigma - -def -globalAnomalySigma - - - -Semantics.PhysicsData.LHCb_BToKStarMuMu->Semantics.PhysicsData.LHCb_BToKStarMuMu.globalAnomalySigma - - -contains - - - -Semantics.PhysicsEuclidean - -module -PhysicsEuclidean - - - -Semantics.PhysicsEuclidean.zero - -def -zero - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.zero - - -contains - - - -Semantics.PhysicsEuclidean.component - -def -component - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.component - - -contains - - - -Semantics.PhysicsEuclidean.map - -def -map - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.map - - -contains - - - -Semantics.PhysicsEuclidean.zipWith - -def -zipWith - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.zipWith - - -contains - - - -Semantics.PhysicsEuclidean.add - -def -add - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.add - - -contains - - - -Semantics.PhysicsEuclidean.sub - -def -sub - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.sub - - -contains - - - -Semantics.PhysicsEuclidean.componentwiseMin - -def -componentwiseMin - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.componentwiseMin - - -contains - - - -Semantics.PhysicsEuclidean.componentwiseMax - -def -componentwiseMax - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.componentwiseMax - - -contains - - - -Semantics.PhysicsEuclidean.scale - -def -scale - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.scale - - -contains - - - -Semantics.PhysicsEuclidean.hadamard - -def -hadamard - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.hadamard - - -contains - - - -Semantics.PhysicsEuclidean.dotAccumulate - -def -dotAccumulate - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.dotAccumulate - - -contains - - - -Semantics.PhysicsEuclidean.dot - -def -dot - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.dot - - -contains - - - -Semantics.PhysicsEuclidean.l1Accumulate - -def -l1Accumulate - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.l1Accumulate - - -contains - - - -Semantics.PhysicsEuclidean.l1Norm - -def -l1Norm - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.l1Norm - - -contains - - - -Semantics.PhysicsEuclidean.approxNorm - -def -approxNorm - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.approxNorm - - -contains - - - -Semantics.PhysicsEuclidean.distanceApprox - -def -distanceApprox - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.distanceApprox - - -contains - - - -Semantics.PhysicsEuclidean.clampComponents - -def -clampComponents - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.clampComponents - - -contains - - - -Semantics.PhysicsEuclidean.withComponent - -def -withComponent - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.withComponent - - -contains - - - -Semantics.PhysicsEuclidean.sumComponents - -def -sumComponents - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsEuclidean.sumComponents - - -contains - - - -Semantics.PhysicsScalar - -module -PhysicsScalar - - - -Semantics.PhysicsEuclidean->Semantics.PhysicsScalar - - -imports - - - -Semantics.PhysicsLagrangian - -module -PhysicsLagrangian - - - -Semantics.PhysicsLagrangian->Semantics.PhysicsEuclidean - - -imports - - - -Semantics.PhysicsLagrangian.zero - -def -zero - - - -Semantics.PhysicsLagrangian->Semantics.PhysicsLagrangian.zero - - -contains - - - -Semantics.PhysicsLagrangian.kineticProxy - -def -kineticProxy - - - -Semantics.PhysicsLagrangian->Semantics.PhysicsLagrangian.kineticProxy - - -contains - - - -Semantics.PhysicsLagrangian.transportWeight - -def -transportWeight - - - -Semantics.PhysicsLagrangian->Semantics.PhysicsLagrangian.transportWeight - - -contains - - - -Semantics.PhysicsLagrangian.advanceLinear - -def -advanceLinear - - - -Semantics.PhysicsLagrangian->Semantics.PhysicsLagrangian.advanceLinear - - -contains - - - -Semantics.PhysicsLagrangian.updateMomentum - -def -updateMomentum - - - -Semantics.PhysicsLagrangian->Semantics.PhysicsLagrangian.updateMomentum - - -contains - - - -Semantics.PhysicsLagrangian.applyImpulse - -def -applyImpulse - - - -Semantics.PhysicsLagrangian->Semantics.PhysicsLagrangian.applyImpulse - - -contains - - - -Semantics.PhysicsLagrangian.dampVelocity - -def -dampVelocity - - - -Semantics.PhysicsLagrangian->Semantics.PhysicsLagrangian.dampVelocity - - -contains - - - -Semantics.PhysicsLagrangian.withActionDensity - -def -withActionDensity - - - -Semantics.PhysicsLagrangian->Semantics.PhysicsLagrangian.withActionDensity - - -contains - - - -Semantics.PhysicsLagrangian.effectiveEnergy - -def -effectiveEnergy - - - -Semantics.PhysicsLagrangian->Semantics.PhysicsLagrangian.effectiveEnergy - - -contains - - - -Semantics.PhysicsPipeline - -module -PhysicsPipeline - - - -Semantics.PhysicsPipeline.rawToEventPoint - -def -rawToEventPoint - - - -Semantics.PhysicsPipeline->Semantics.PhysicsPipeline.rawToEventPoint - - -contains - - - -Semantics.PhysicsPipeline.runSpectralAnalysis - -def -runSpectralAnalysis - - - -Semantics.PhysicsPipeline->Semantics.PhysicsPipeline.runSpectralAnalysis - - -contains - - - -Semantics.PhysicsPipeline.learnPDEKernel - -def -learnPDEKernel - - - -Semantics.PhysicsPipeline->Semantics.PhysicsPipeline.learnPDEKernel - - -contains - - - -Semantics.PhysicsPipeline.detectAnomalies - -def -detectAnomalies - - - -Semantics.PhysicsPipeline->Semantics.PhysicsPipeline.detectAnomalies - - -contains - - - -Semantics.PhysicsPipeline.extractBSM - -def -extractBSM - - - -Semantics.PhysicsPipeline->Semantics.PhysicsPipeline.extractBSM - - -contains - - - -Semantics.PhysicsPipeline.analyzeLadderAlgebra - -def -analyzeLadderAlgebra - - - -Semantics.PhysicsPipeline->Semantics.PhysicsPipeline.analyzeLadderAlgebra - - -contains - - - -Semantics.PhysicsPipeline.encodeLUT - -def -encodeLUT - - - -Semantics.PhysicsPipeline->Semantics.PhysicsPipeline.encodeLUT - - -contains - - - -Semantics.PhysicsPipeline.emitReceipt - -def -emitReceipt - - - -Semantics.PhysicsPipeline->Semantics.PhysicsPipeline.emitReceipt - - -contains - - - -Semantics.PhysicsPipeline.runPipeline - -def -runPipeline - - - -Semantics.PhysicsPipeline->Semantics.PhysicsPipeline.runPipeline - - -contains - - - -Semantics.PhysicsPipeline.PipelineState - -def -PipelineState - - - -Semantics.PhysicsPipeline->Semantics.PhysicsPipeline.PipelineState - - -contains - - - -Semantics.PhysicsPipeline.sampleData - -def -sampleData - - - -Semantics.PhysicsPipeline->Semantics.PhysicsPipeline.sampleData - - -contains - - - -Semantics.PhysicsScalar.scale - -def -scale - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.scale - - -contains - - - -Semantics.PhysicsScalar.maxNat - -def -maxNat - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.maxNat - - -contains - - - -Semantics.PhysicsScalar.zero - -def -zero - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.zero - - -contains - - - -Semantics.PhysicsScalar.one - -def -one - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.one - - -contains - - - -Semantics.PhysicsScalar.half - -def -half - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.half - - -contains - - - -Semantics.PhysicsScalar.quarter - -def -quarter - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.quarter - - -contains - - - -Semantics.PhysicsScalar.eighth - -def -eighth - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.eighth - - -contains - - - -Semantics.PhysicsScalar.two - -def -two - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.two - - -contains - - - -Semantics.PhysicsScalar.three - -def -three - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.three - - -contains - - - -Semantics.PhysicsScalar.four - -def -four - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.four - - -contains - - - -Semantics.PhysicsScalar.maxValue - -def -maxValue - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.maxValue - - -contains - - - -Semantics.PhysicsScalar.satFromNat - -def -satFromNat - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.satFromNat - - -contains - - - -Semantics.PhysicsScalar.fromRawNat - -def -fromRawNat - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.fromRawNat - - -contains - - - -Semantics.PhysicsScalar.fromNat - -def -fromNat - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.fromNat - - -contains - - - -Semantics.PhysicsScalar.fromRatio - -def -fromRatio - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.fromRatio - - -contains - - - -Semantics.PhysicsScalar.toNatFloor - -def -toNatFloor - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.toNatFloor - - -contains - - - -Semantics.PhysicsScalar.add - -def -add - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.add - - -contains - - - -Semantics.PhysicsScalar.addSaturating - -def -addSaturating - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.addSaturating - - -contains - - - -Semantics.PhysicsScalar.sub - -def -sub - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.sub - - -contains - - - -Semantics.PhysicsScalar.subSaturating - -def -subSaturating - - - -Semantics.PhysicsScalar->Semantics.PhysicsScalar.subSaturating - - -contains - - - -Semantics.PhysicsScalarBridge->Semantics.FixedPoint - - -imports - - - -Semantics.PhysicsScalarBridge.toFixedPoint - -def -toFixedPoint - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.toFixedPoint - - -contains - - - -Semantics.PhysicsScalarBridge.fromFixedPoint - -def -fromFixedPoint - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.fromFixedPoint - - -contains - - - -Semantics.PhysicsScalarBridge.scale - -def -scale - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.scale - - -contains - - - -Semantics.PhysicsScalarBridge.maxNat - -def -maxNat - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.maxNat - - -contains - - - -Semantics.PhysicsScalarBridge.zero - -def -zero - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.zero - - -contains - - - -Semantics.PhysicsScalarBridge.one - -def -one - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.one - - -contains - - - -Semantics.PhysicsScalarBridge.two - -def -two - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.two - - -contains - - - -Semantics.PhysicsScalarBridge.three - -def -three - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.three - - -contains - - - -Semantics.PhysicsScalarBridge.four - -def -four - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.four - - -contains - - - -Semantics.PhysicsScalarBridge.half - -def -half - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.half - - -contains - - - -Semantics.PhysicsScalarBridge.quarter - -def -quarter - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.quarter - - -contains - - - -Semantics.PhysicsScalarBridge.eighth - -def -eighth - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.eighth - - -contains - - - -Semantics.PhysicsScalarBridge.maxValue - -def -maxValue - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.maxValue - - -contains - - - -Semantics.PhysicsScalarBridge.fromRawNat - -def -fromRawNat - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.fromRawNat - - -contains - - - -Semantics.PhysicsScalarBridge.satFromNat - -def -satFromNat - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.satFromNat - - -contains - - - -Semantics.PhysicsScalarBridge.fromNat - -def -fromNat - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.fromNat - - -contains - - - -Semantics.PhysicsScalarBridge.fromRatio - -def -fromRatio - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.fromRatio - - -contains - - - -Semantics.PhysicsScalarBridge.toNatFloor - -def -toNatFloor - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.toNatFloor - - -contains - - - -Semantics.PhysicsScalarBridge.add - -def -add - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.add - - -contains - - - -Semantics.PhysicsScalarBridge.addSaturating - -def -addSaturating - - - -Semantics.PhysicsScalarBridge->Semantics.PhysicsScalarBridge.addSaturating - - -contains - - - -Semantics.PistBridge - -module -PistBridge - - - -Semantics.PistBridge.blitterPreservesAci - -theorem -blitterPreservesAci - - - -Semantics.PistBridge->Semantics.PistBridge.blitterPreservesAci - - -contains - - - -Semantics.PistBridge.q16_16ToPistFix16 - -def -q16_16ToPistFix16 - - - -Semantics.PistBridge->Semantics.PistBridge.q16_16ToPistFix16 - - -contains - - - -Semantics.PistBridge.pistFix16ToQ16_16 - -def -pistFix16ToQ16_16 - - - -Semantics.PistBridge->Semantics.PistBridge.pistFix16ToQ16_16 - - -contains - - - -Semantics.PistBridge.pistModel131VectorField - -def -pistModel131VectorField - - - -Semantics.PistBridge->Semantics.PistBridge.pistModel131VectorField - - -contains - - - -Semantics.PistBridge.shellStateToPistCoords - -def -shellStateToPistCoords - - - -Semantics.PistBridge->Semantics.PistBridge.shellStateToPistCoords - - -contains - - - -Semantics.PistBridge.shellStateDrift - -def -shellStateDrift - - - -Semantics.PistBridge->Semantics.PistBridge.shellStateDrift - - -contains - - - -Semantics.PistBridge.blitterStep - -def -blitterStep - - - -Semantics.PistBridge->Semantics.PistBridge.blitterStep - - -contains - - - -Semantics.PistBridge.blitterConverged - -def -blitterConverged - - - -Semantics.PistBridge->Semantics.PistBridge.blitterConverged - - -contains - - - -Semantics.PistBridge.sissManifold - -def -sissManifold - - - -Semantics.PistBridge->Semantics.PistBridge.sissManifold - - -contains - - - -Semantics.PistBridge.sissScatter - -def -sissScatter - - - -Semantics.PistBridge->Semantics.PistBridge.sissScatter - - -contains - - - -Semantics.PistBridge.gossipOverSiss - -def -gossipOverSiss - - - -Semantics.PistBridge->Semantics.PistBridge.gossipOverSiss - - -contains - - - -Semantics.PistSimulation - -module -PistSimulation - - - -Semantics.PistSimulation.phiSpiral_contracts_normSq - -theorem -phiSpiral_contracts_normSq - - - -Semantics.PistSimulation->Semantics.PistSimulation.phiSpiral_contracts_normSq - - -contains - - - -Semantics.PistSimulation.phiSpiral_rotates - -theorem -phiSpiral_rotates - - - -Semantics.PistSimulation->Semantics.PistSimulation.phiSpiral_rotates - - -contains - - - -Semantics.PistSimulation.for - -theorem -for - - - -Semantics.PistSimulation->Semantics.PistSimulation.for - - -contains - - - -Semantics.PistSimulation.toInt_eq_clamp - -theorem -toInt_eq_clamp - - - -Semantics.PistSimulation->Semantics.PistSimulation.toInt_eq_clamp - - -contains - - - -Semantics.PistSimulation.mul_self_monotone - -theorem -mul_self_monotone - - - -Semantics.PistSimulation->Semantics.PistSimulation.mul_self_monotone - - -contains - - - -Semantics.PistSimulation.add_add_monotone - -theorem -add_add_monotone - - - -Semantics.PistSimulation->Semantics.PistSimulation.add_add_monotone - - -contains - - - -Semantics.PistSimulation.div_two_monotone - -theorem -div_two_monotone - - - -Semantics.PistSimulation->Semantics.PistSimulation.div_two_monotone - - -contains - - - -Semantics.PistSimulation.mul_phiInv_le - -theorem -mul_phiInv_le - - - -Semantics.PistSimulation->Semantics.PistSimulation.mul_phiInv_le - - -contains - - - -Semantics.PistSimulation.div_nonneg_nonneg - -theorem -div_nonneg_nonneg - - - -Semantics.PistSimulation->Semantics.PistSimulation.div_nonneg_nonneg - - -contains - - - -Semantics.PistSimulation.sub_nonneg_toInt - -theorem -sub_nonneg_toInt - - - -Semantics.PistSimulation->Semantics.PistSimulation.sub_nonneg_toInt - - -contains - - - -Semantics.PistSimulation.add_sub_cancel_toInt - -theorem -add_sub_cancel_toInt - - - -Semantics.PistSimulation->Semantics.PistSimulation.add_sub_cancel_toInt - - -contains - - - -Semantics.PistSimulation.q16_mul_self_nonneg - -theorem -q16_mul_self_nonneg - - - -Semantics.PistSimulation->Semantics.PistSimulation.q16_mul_self_nonneg - - -contains - - - -Semantics.PistSimulation.q16_add_nonneg - -theorem -q16_add_nonneg - - - -Semantics.PistSimulation->Semantics.PistSimulation.q16_add_nonneg - - -contains - - - -Semantics.PistSimulation.squareFoldNonneg - -theorem -squareFoldNonneg - - - -Semantics.PistSimulation->Semantics.PistSimulation.squareFoldNonneg - - -contains - - - -Semantics.PistSimulation.squareFoldMonotoneAux - -theorem -squareFoldMonotoneAux - - - -Semantics.PistSimulation->Semantics.PistSimulation.squareFoldMonotoneAux - - -contains - - - -Semantics.PistSimulation.goldenContractionEnergyDecrease - -theorem -goldenContractionEnergyDecrease - - - -Semantics.PistSimulation->Semantics.PistSimulation.goldenContractionEnergyDecrease - - -contains - - - -Semantics.PistSimulation.TensorData - -def -TensorData - - - -Semantics.PistSimulation->Semantics.PistSimulation.TensorData - - -contains - - - -Semantics.PistSimulation.injectDataSlice - -def -injectDataSlice - - - -Semantics.PistSimulation->Semantics.PistSimulation.injectDataSlice - - -contains - - - -Semantics.PistSimulation.injectFromShellStates - -def -injectFromShellStates - - - -Semantics.PistSimulation->Semantics.PistSimulation.injectFromShellStates - - -contains - - - -Semantics.PistSimulation.predictViability - -def -predictViability - - - -Semantics.PistSimulation->Semantics.PistSimulation.predictViability - - -contains - - - -Semantics.PistSimulation.phase2Pruning - -def -phase2Pruning - - - -Semantics.PistSimulation->Semantics.PistSimulation.phase2Pruning - - -contains - - - -Semantics.PistSimulation.picardBlitStep - -def -picardBlitStep - - - -Semantics.PistSimulation->Semantics.PistSimulation.picardBlitStep - - -contains - - - -Semantics.PistSimulation.localGossip - -def -localGossip - - - -Semantics.PistSimulation->Semantics.PistSimulation.localGossip - - -contains - - - -Semantics.PistSimulation.phase3Tick - -def -phase3Tick - - - -Semantics.PistSimulation->Semantics.PistSimulation.phase3Tick - - -contains - - - -Semantics.PistSimulation.executePipeline - -def -executePipeline - - - -Semantics.PistSimulation->Semantics.PistSimulation.executePipeline - - -contains - - - -Semantics.PistSimulation.executeFromShellIndices - -def -executeFromShellIndices - - - -Semantics.PistSimulation->Semantics.PistSimulation.executeFromShellIndices - - -contains - - - -Semantics.PistSimulation.pseudoVoigtQ16 - -def -pseudoVoigtQ16 - - - -Semantics.PistSimulation->Semantics.PistSimulation.pseudoVoigtQ16 - - -contains - - - -Semantics.PistSimulation.chiSqWindow - -def -chiSqWindow - - - -Semantics.PistSimulation->Semantics.PistSimulation.chiSqWindow - - -contains - - - -Semantics.PistSimulation.domainSizeFromWidth - -def -domainSizeFromWidth - - - -Semantics.PistSimulation->Semantics.PistSimulation.domainSizeFromWidth - - -contains - - - -Semantics.PistSimulation.regimeToString - -def -regimeToString - - - -Semantics.PistSimulation->Semantics.PistSimulation.regimeToString - - -contains - - - -Semantics.PistSimulation.domainRegime - -def -domainRegime - - - -Semantics.PistSimulation->Semantics.PistSimulation.domainRegime - - -contains - - - -Semantics.PistSimulation.swapRows - -def -swapRows - - - -Semantics.PistSimulation->Semantics.PistSimulation.swapRows - - -contains - - - -Semantics.PistSimulation.scaleRow - -def -scaleRow - - - -Semantics.PistSimulation->Semantics.PistSimulation.scaleRow - - -contains - - - -Semantics.PistSimulation.addScaledRow - -def -addScaledRow - - - -Semantics.PistSimulation->Semantics.PistSimulation.addScaledRow - - -contains - - - -Semantics.PistSimulation.findPivot - -def -findPivot - - - -Semantics.PistSimulation->Semantics.PistSimulation.findPivot - - -contains - - - -Semantics.PistSimulation.eliminateColumn - -def -eliminateColumn - - - -Semantics.PistSimulation->Semantics.PistSimulation.eliminateColumn - - -contains - - - -Semantics.PostQuantumEscrow - -module -PostQuantumEscrow - - - -Semantics.PostQuantumEscrow.defaultEscrowRules - -def -defaultEscrowRules - - - -Semantics.PostQuantumEscrow->Semantics.PostQuantumEscrow.defaultEscrowRules - - -contains - - - -Semantics.PostQuantumEscrow.createAngrySphinxEscrowCapsule - -def -createAngrySphinxEscrowCapsule - - - -Semantics.PostQuantumEscrow->Semantics.PostQuantumEscrow.createAngrySphinxEscrowCapsule - - -contains - - - -Semantics.PostQuantumEscrow.escrowReleaseLaw - -def -escrowReleaseLaw - - - -Semantics.PostQuantumEscrow->Semantics.PostQuantumEscrow.escrowReleaseLaw - - -contains - - - -Semantics.PostQuantumEscrow.checkEscrowCompliance - -def -checkEscrowCompliance - - - -Semantics.PostQuantumEscrow->Semantics.PostQuantumEscrow.checkEscrowCompliance - - -contains - - - -Semantics.PostQuantumEscrow->Semantics.Testing.ExtremeParameterTest - - -imports - - - -Semantics.PrimeLut - -module -PrimeLut - - - -Semantics.PrimeLut.arrayGet - -def -arrayGet - - - -Semantics.PrimeLut->Semantics.PrimeLut.arrayGet - - -contains - - - -Semantics.PrimeLut.firstPrimes - -def -firstPrimes - - - -Semantics.PrimeLut->Semantics.PrimeLut.firstPrimes - - -contains - - - -Semantics.PrimeLut.primeAt - -def -primeAt - - - -Semantics.PrimeLut->Semantics.PrimeLut.primeAt - - -contains - - - -Semantics.PrimeLut.nthPrime - -def -nthPrime - - - -Semantics.PrimeLut->Semantics.PrimeLut.nthPrime - - -contains - - - -Semantics.PrimeLut.isPrimeInLut - -def -isPrimeInLut - - - -Semantics.PrimeLut->Semantics.PrimeLut.isPrimeInLut - - -contains - - - -Semantics.PrimeLut.primeFloor - -def -primeFloor - - - -Semantics.PrimeLut->Semantics.PrimeLut.primeFloor - - -contains - - - -Semantics.PrimeLut.shellPrimes - -def -shellPrimes - - - -Semantics.PrimeLut->Semantics.PrimeLut.shellPrimes - - -contains - - - -Semantics.PrimeLut.shellPrime - -def -shellPrime - - - -Semantics.PrimeLut->Semantics.PrimeLut.shellPrime - - -contains - - - -Semantics.PrimeLut.twinPrimes - -def -twinPrimes - - - -Semantics.PrimeLut->Semantics.PrimeLut.twinPrimes - - -contains - - - -Semantics.PrimeLut.safePrimes - -def -safePrimes - - - -Semantics.PrimeLut->Semantics.PrimeLut.safePrimes - - -contains - - - -Semantics.PrimeLut.safePrimeAt - -def -safePrimeAt - - - -Semantics.PrimeLut->Semantics.PrimeLut.safePrimeAt - - -contains - - - -Semantics.PrimitiveMatrix - -module -PrimitiveMatrix - - - -Semantics.PrimitiveMatrix->Semantics.FixedPoint - - -imports - - - -Semantics.PrimitiveMatrix.prim_adj_identity_exact - -theorem -prim_adj_identity_exact - - - -Semantics.PrimitiveMatrix->Semantics.PrimitiveMatrix.prim_adj_identity_exact - - -contains - - - -Semantics.PrimitiveMatrix.PrimEntry - -def -PrimEntry - - - -Semantics.PrimitiveMatrix->Semantics.PrimitiveMatrix.PrimEntry - - -contains - - - -Semantics.PrimitiveMatrix->Semantics.PrimitiveMatrix.PrimEntry - - -contains - - - -Semantics.PrimitiveMatrix->Semantics.PrimitiveMatrix.PrimEntry - - -contains - - - -Semantics.PrimitiveMatrix->Semantics.PrimitiveMatrix.PrimEntry - - -contains - - - -Semantics.PrimitiveMatrix->Semantics.PrimitiveMatrix.PrimEntry - - -contains - - - -Semantics.PrimitiveMatrix->Semantics.PrimitiveMatrix.PrimEntry - - -contains - - - -Semantics.PrimitiveMatrix->Semantics.PrimitiveMatrix.PrimEntry - - -contains - - - -Semantics.PrimitiveMatrix->Semantics.PrimitiveMatrix.PrimEntry - - -contains - - - -Semantics.PrimitiveMatrix.demo_exact - -def -demo_exact - - - -Semantics.PrimitiveMatrix->Semantics.PrimitiveMatrix.demo_exact - - -contains - - - -Semantics.PrimitiveMatrix.demo_q16_lossy - -def -demo_q16_lossy - - - -Semantics.PrimitiveMatrix->Semantics.PrimitiveMatrix.demo_q16_lossy - - -contains - - - -Semantics.ProductSidon - -module -ProductSidon - - - -Semantics.ProductSidon.product_sidon_injective - -theorem -product_sidon_injective - - - -Semantics.ProductSidon->Semantics.ProductSidon.product_sidon_injective - - -contains - - - -Semantics.ProductSidon.is_product_sidon_iff_cross_diff_disjoint - -theorem -is_product_sidon_iff_cross_diff_disjoint - - - -Semantics.ProductSidon->Semantics.ProductSidon.is_product_sidon_iff_cross_diff_disjoint - - -contains - - - -Semantics.ProductSidon.sidon_partition_implies_product_sidon - -theorem -sidon_partition_implies_product_sidon - - - -Semantics.ProductSidon->Semantics.ProductSidon.sidon_partition_implies_product_sidon - - -contains - - - -Semantics.ProductSidon.atmosphere_sidon_principle - -theorem -atmosphere_sidon_principle - - - -Semantics.ProductSidon->Semantics.ProductSidon.atmosphere_sidon_principle - - -contains - - - -Semantics.ProductSidon.atmosphere_host_eq - -theorem -atmosphere_host_eq - - - -Semantics.ProductSidon->Semantics.ProductSidon.atmosphere_host_eq - - -contains - - - -Semantics.ProductSidon.atmosphere_app_eq - -theorem -atmosphere_app_eq - - - -Semantics.ProductSidon->Semantics.ProductSidon.atmosphere_app_eq - - -contains - - - -Semantics.ProductSidon.is_product_sidon_symm - -theorem -is_product_sidon_symm - - - -Semantics.ProductSidon->Semantics.ProductSidon.is_product_sidon_symm - - -contains - - - -Semantics.ProductSidon.IsProductSidon - -def -IsProductSidon - - - -Semantics.ProductSidon->Semantics.ProductSidon.IsProductSidon - - -contains - - - -Semantics.ProductSidon.CrossDiffDisjoint - -def -CrossDiffDisjoint - - - -Semantics.ProductSidon->Semantics.ProductSidon.CrossDiffDisjoint - - -contains - - - -Mathlib.Data.Int.Defs - -mathlib -Mathlib.Data.Int.Defs - - - -Semantics.ProductSidon->Mathlib.Data.Int.Defs - - -imports - - - -Semantics.Prohibited - -module -Prohibited - - - -Semantics.Prohibited->Semantics.Constitution - - -imports - - - -Semantics.Prohibited.no_quarantine_implies_prohibition - -theorem -no_quarantine_implies_prohibition - - - -Semantics.Prohibited->Semantics.Prohibited.no_quarantine_implies_prohibition - - -contains - - - -Semantics.Prohibited.faithfulness_implies_prohibition - -theorem -faithfulness_implies_prohibition - - - -Semantics.Prohibited->Semantics.Prohibited.faithfulness_implies_prohibition - - -contains - - - -Semantics.Prohibited.lawfulness_implies_prohibition - -theorem -lawfulness_implies_prohibition - - - -Semantics.Prohibited->Semantics.Prohibited.lawfulness_implies_prohibition - - -contains - - - -Semantics.Prohibited.provenance_implies_prohibition - -theorem -provenance_implies_prohibition - - - -Semantics.Prohibited->Semantics.Prohibited.provenance_implies_prohibition - - -contains - - - -Semantics.Prohibited.universality_projection_implies_prohibition - -theorem -universality_projection_implies_prohibit - - - -Semantics.Prohibited->Semantics.Prohibited.universality_projection_implies_prohibition - - -contains - - - -Semantics.Prohibited.determinism_implies_prohibition - -theorem -determinism_implies_prohibition - - - -Semantics.Prohibited->Semantics.Prohibited.determinism_implies_prohibition - - -contains - - - -Semantics.Prohibited.core_schema_implies_prohibition - -theorem -core_schema_implies_prohibition - - - -Semantics.Prohibited->Semantics.Prohibited.core_schema_implies_prohibition - - -contains - - - -Semantics.Prohibited.evolution_audit_implies_prohibition - -theorem -evolution_audit_implies_prohibition - - - -Semantics.Prohibited->Semantics.Prohibited.evolution_audit_implies_prohibition - - -contains - - - -Semantics.Prohibited.scalar_admissible_implies_ancestry_prohibition - -theorem -scalar_admissible_implies_ancestry_prohi - - - -Semantics.Prohibited->Semantics.Prohibited.scalar_admissible_implies_ancestry_prohibition - - -contains - - - -Semantics.Prohibited.full_admissibility_implies_prohibition - -theorem -full_admissibility_implies_prohibition - - - -Semantics.Prohibited->Semantics.Prohibited.full_admissibility_implies_prohibition - - -contains - - - -Semantics.Prohibited.NotAllowed_EmptyLemma - -def -NotAllowed_EmptyLemma - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_EmptyLemma - - -contains - - - -Semantics.Prohibited.NotAllowed_UnfaithfulDecomposition - -def -NotAllowed_UnfaithfulDecomposition - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_UnfaithfulDecomposition - - -contains - - - -Semantics.Prohibited.NotAllowed_NegativeWeightInNormalForm - -def -NotAllowed_NegativeWeightInNormalForm - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_NegativeWeightInNormalForm - - -contains - - - -Semantics.Prohibited.NotAllowed_ActiveQuarantine - -def -NotAllowed_ActiveQuarantine - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_ActiveQuarantine - - -contains - - - -Semantics.Prohibited.NotAllowed_OrphanObservation - -def -NotAllowed_OrphanObservation - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_OrphanObservation - - -contains - - - -Semantics.Prohibited.NotAllowed_UncertifiedCapabilityEdge - -def -NotAllowed_UncertifiedCapabilityEdge - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_UncertifiedCapabilityEdge - - -contains - - - -Semantics.Prohibited.NotAllowed_MagicSemanticJump - -def -NotAllowed_MagicSemanticJump - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_MagicSemanticJump - - -contains - - - -Semantics.Prohibited.NotAllowed_UnlawfulPath - -def -NotAllowed_UnlawfulPath - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_UnlawfulPath - - -contains - - - -Semantics.Prohibited.NotAllowed_DisconnectedPathComposition - -def -NotAllowed_DisconnectedPathComposition - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_DisconnectedPathComposition - - -contains - - - -Semantics.Prohibited.NotAllowed_WitnessWithoutProvenance - -def -NotAllowed_WitnessWithoutProvenance - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_WitnessWithoutProvenance - - -contains - - - -Semantics.Prohibited.NotAllowed_NegativeLoad - -def -NotAllowed_NegativeLoad - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_NegativeLoad - - -contains - - - -Semantics.Prohibited.NotAllowed_UngroundedNode - -def -NotAllowed_UngroundedNode - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_UngroundedNode - - -contains - - - -Semantics.Prohibited.NotAllowed_InvisibleUniversality - -def -NotAllowed_InvisibleUniversality - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_InvisibleUniversality - - -contains - - - -Semantics.Prohibited.NotAllowed_UniversalityLossUnderProjection - -def -NotAllowed_UniversalityLossUnderProjecti - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_UniversalityLossUnderProjection - - -contains - - - -Semantics.Prohibited.NotAllowed_UniversalityLossUnderCollapse - -def -NotAllowed_UniversalityLossUnderCollapse - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_UniversalityLossUnderCollapse - - -contains - - - -Semantics.Prohibited.NotAllowed_UniversalityLossUnderEvolution - -def -NotAllowed_UniversalityLossUnderEvolutio - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_UniversalityLossUnderEvolution - - -contains - - - -Semantics.Prohibited.NotAllowed_AdversarialCanonicalInput - -def -NotAllowed_AdversarialCanonicalInput - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_AdversarialCanonicalInput - - -contains - - - -Semantics.Prohibited.NotAllowed_WeirdMachineInput - -def -NotAllowed_WeirdMachineInput - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_WeirdMachineInput - - -contains - - - -Semantics.Prohibited.NotAllowed_NondeterministicCanonicalForm - -def -NotAllowed_NondeterministicCanonicalForm - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_NondeterministicCanonicalForm - - -contains - - - -Semantics.Prohibited.NotAllowed_NonCoreCanonicalSchema - -def -NotAllowed_NonCoreCanonicalSchema - - - -Semantics.Prohibited->Semantics.Prohibited.NotAllowed_NonCoreCanonicalSchema - - -contains - - - -Semantics.ProjectableGeometryCanonical - -module -ProjectableGeometryCanonical - - - -Semantics.ProjectableGeometryCanonical->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.ProjectableGeometryCanonical.canonicalShellCloses - -theorem -canonicalShellCloses - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.canonicalShellCloses - - -contains - - - -Semantics.ProjectableGeometryCanonical.sampleClosedRepAdmissible - -theorem -sampleClosedRepAdmissible - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.sampleClosedRepAdmissible - - -contains - - - -Semantics.ProjectableGeometryCanonical.brokenResidualRepNotAdmissible - -theorem -brokenResidualRepNotAdmissible - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.brokenResidualRepNotAdmissible - - -contains - - - -Semantics.ProjectableGeometryCanonical.unresolvedShellRepNotAdmissible - -theorem -unresolvedShellRepNotAdmissible - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.unresolvedShellRepNotAdmissible - - -contains - - - -Semantics.ProjectableGeometryCanonical.signedEnvelopeAxes - -def -signedEnvelopeAxes - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.signedEnvelopeAxes - - -contains - - - -Semantics.ProjectableGeometryCanonical.sourcePlaneAxes - -def -sourcePlaneAxes - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.sourcePlaneAxes - - -contains - - - -Semantics.ProjectableGeometryCanonical.primitiveKeelAxes - -def -primitiveKeelAxes - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.primitiveKeelAxes - - -contains - - - -Semantics.ProjectableGeometryCanonical.genusHandles - -def -genusHandles - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.genusHandles - - -contains - - - -Semantics.ProjectableGeometryCanonical.closurePointAxes - -def -closurePointAxes - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.closurePointAxes - - -contains - - - -Semantics.ProjectableGeometryCanonical.canonicalShell - -def -canonicalShell - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.canonicalShell - - -contains - - - -Semantics.ProjectableGeometryCanonical.shellCloses - -def -shellCloses - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.shellCloses - - -contains - - - -Semantics.ProjectableGeometryCanonical.residualBoatCloses - -def -residualBoatCloses - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.residualBoatCloses - - -contains - - - -Semantics.ProjectableGeometryCanonical.sourceRehydrates - -def -sourceRehydrates - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.sourceRehydrates - - -contains - - - -Semantics.ProjectableGeometryCanonical.axesCanonical - -def -axesCanonical - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.axesCanonical - - -contains - - - -Semantics.ProjectableGeometryCanonical.canonicalRepAdmissible - -def -canonicalRepAdmissible - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.canonicalRepAdmissible - - -contains - - - -Semantics.ProjectableGeometryCanonical.sampleClosedRep - -def -sampleClosedRep - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.sampleClosedRep - - -contains - - - -Semantics.ProjectableGeometryCanonical.brokenResidualRep - -def -brokenResidualRep - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.brokenResidualRep - - -contains - - - -Semantics.ProjectableGeometryCanonical.unresolvedShellRep - -def -unresolvedShellRep - - - -Semantics.ProjectableGeometryCanonical->Semantics.ProjectableGeometryCanonical.unresolvedShellRep - - -contains - - - -Semantics.Projections - -module -Projections - - - -Semantics.Protocol - -module -Protocol - - - -Semantics.Protocol->Semantics.Bind - - -imports - - - -Semantics.Protocol.protocolInheritance - -theorem -protocolInheritance - - - -Semantics.Protocol->Semantics.Protocol.protocolInheritance - - -contains - - - -Semantics.Protocol.isInherited - -def -isInherited - - - -Semantics.Protocol->Semantics.Protocol.isInherited - - -contains - - - -Semantics.Protocol.protocolBind - -def -protocolBind - - - -Semantics.Protocol->Semantics.Protocol.protocolBind - - -contains - - - -Semantics.ProtonDecayAnchor - -module -ProtonDecayAnchor - - - -Semantics.ProtonDecayAnchor.for - -theorem -for - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.for - - -contains - - - -Semantics.ProtonDecayAnchor.protonLifetimePositive - -theorem -protonLifetimePositive - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.protonLifetimePositive - - -contains - - - -Semantics.ProtonDecayAnchor.protonLifetimeEnormous - -theorem -protonLifetimeEnormous - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.protonLifetimeEnormous - - -contains - - - -Semantics.ProtonDecayAnchor.nProtonDecayEnormous - -theorem -nProtonDecayEnormous - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.nProtonDecayEnormous - - -contains - - - -Semantics.ProtonDecayAnchor.frameworkCannotPredictProtonDecay - -theorem -frameworkCannotPredictProtonDecay - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.frameworkCannotPredictProtonDecay - - -contains - - - -Semantics.ProtonDecayAnchor.protonLifetimeLowerBoundYears - -def -protonLifetimeLowerBoundYears - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.protonLifetimeLowerBoundYears - - -contains - - - -Semantics.ProtonDecayAnchor.protonLifetimeGUTMin - -def -protonLifetimeGUTMin - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.protonLifetimeGUTMin - - -contains - - - -Semantics.ProtonDecayAnchor.protonLifetimeGUTMax - -def -protonLifetimeGUTMax - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.protonLifetimeGUTMax - - -contains - - - -Semantics.ProtonDecayAnchor.protonLifetimeUncertaintySpan - -def -protonLifetimeUncertaintySpan - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.protonLifetimeUncertaintySpan - - -contains - - - -Semantics.ProtonDecayAnchor.nForProtonDecayLower - -def -nForProtonDecayLower - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.nForProtonDecayLower - - -contains - - - -Semantics.ProtonDecayAnchor.nForProtonDecaySU5 - -def -nForProtonDecaySU5 - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.nForProtonDecaySU5 - - -contains - - - -Semantics.ProtonDecayAnchor.frameworkPredictsProtonDecay - -def -frameworkPredictsProtonDecay - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.frameworkPredictsProtonDecay - - -contains - - - -Semantics.ProtonDecayAnchor.frameworkHasParticlePhysics - -def -frameworkHasParticlePhysics - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.frameworkHasParticlePhysics - - -contains - - - -Semantics.ProtonDecayAnchor.protonLifetimeMeasured - -def -protonLifetimeMeasured - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.protonLifetimeMeasured - - -contains - - - -Semantics.ProtonDecayAnchor.protonLifetimePredictionsSpanDecades - -def -protonLifetimePredictionsSpanDecades - - - -Semantics.ProtonDecayAnchor->Semantics.ProtonDecayAnchor.protonLifetimePredictionsSpanDecades - - -contains - - - -Semantics.ProvenanceSource->Semantics.Bind - - -imports - - - -Semantics.ProvenanceSource.CostPolicy - -def -CostPolicy - - - -Semantics.ProvenanceSource->Semantics.ProvenanceSource.CostPolicy - - -contains - - - -Semantics.ProvenanceSource->Semantics.ProvenanceSource.CostPolicy - - -contains - - - -Semantics.ProvenanceSource.actorKey - -def -actorKey - - - -Semantics.ProvenanceSource->Semantics.ProvenanceSource.actorKey - - -contains - - - -Semantics.ProvenanceSource.isTrusted - -def -isTrusted - - - -Semantics.ProvenanceSource->Semantics.ProvenanceSource.isTrusted - - -contains - - - -Semantics.ProvenanceSource.visibilityToken - -def -visibilityToken - - - -Semantics.ProvenanceSource->Semantics.ProvenanceSource.visibilityToken - - -contains - - - -Semantics.ProvenanceSource.backendToken - -def -backendToken - - - -Semantics.ProvenanceSource->Semantics.ProvenanceSource.backendToken - - -contains - - - -Semantics.ProvenanceSource.invariant - -def -invariant - - - -Semantics.ProvenanceSource->Semantics.ProvenanceSource.invariant - - -contains - - - -Semantics.ProvenanceSource.legacyInvariant - -def -legacyInvariant - - - -Semantics.ProvenanceSource->Semantics.ProvenanceSource.legacyInvariant - - -contains - - - -Semantics.ProvenanceSource.targetInvariant - -def -targetInvariant - - - -Semantics.ProvenanceSource->Semantics.ProvenanceSource.targetInvariant - - -contains - - - -Semantics.ProvenanceSource.legacyTargetInvariant - -def -legacyTargetInvariant - - - -Semantics.ProvenanceSource->Semantics.ProvenanceSource.legacyTargetInvariant - - -contains - - - -Semantics.ProvenanceSource.cost - -def -cost - - - -Semantics.ProvenanceSource->Semantics.ProvenanceSource.cost - - -contains - - - -Semantics.ProvenanceSource.bind - -def -bind - - - -Semantics.ProvenanceSource->Semantics.ProvenanceSource.bind - - -contains - - - -Semantics.ProvenanceSource.legacyBind - -def -legacyBind - - - -Semantics.ProvenanceSource->Semantics.ProvenanceSource.legacyBind - - -contains - - - -Semantics.Purify - -module -Purify - - - -Semantics.Purify->Semantics.Ingestion - - -imports - - - -Semantics.Purify.purifyRecords - -def -purifyRecords - - - -Semantics.Purify->Semantics.Purify.purifyRecords - - -contains - - - -Semantics.Purify.runPurification - -def -runPurification - - - -Semantics.Purify->Semantics.Purify.runPurification - - -contains - - - -Semantics.PutinarBackbone - -module -PutinarBackbone - - - -Semantics.PutinarBackbone.foldl_nonneg - -theorem -foldl_nonneg - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.foldl_nonneg - - -contains - - - -Semantics.PutinarBackbone.sos_nonneg - -theorem -sos_nonneg - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.sos_nonneg - - -contains - - - -Semantics.PutinarBackbone.sos_zero_iff - -theorem -sos_zero_iff - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.sos_zero_iff - - -contains - - - -Semantics.PutinarBackbone.foldl_weighted_nonneg - -theorem -foldl_weighted_nonneg - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.foldl_weighted_nonneg - - -contains - - - -Semantics.PutinarBackbone.putinar_nonneg - -theorem -putinar_nonneg - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.putinar_nonneg - - -contains - - - -Semantics.PutinarBackbone.backbone_is_putinar_zero_case - -theorem -backbone_is_putinar_zero_case - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.backbone_is_putinar_zero_case - - -contains - - - -Semantics.PutinarBackbone.baker_replacement - -theorem -baker_replacement - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.baker_replacement - - -contains - - - -Semantics.PutinarBackbone.stars_convergence - -theorem -stars_convergence - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.stars_convergence - - -contains - - - -Semantics.PutinarBackbone.softplus_complementarity - -theorem -softplus_complementarity - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.softplus_complementarity - - -contains - - - -Semantics.PutinarBackbone.softplus_derivative_bounded - -theorem -softplus_derivative_bounded - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.softplus_derivative_bounded - - -contains - - - -Semantics.PutinarBackbone.smoothPenalty_nonneg - -theorem -smoothPenalty_nonneg - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.smoothPenalty_nonneg - - -contains - - - -Semantics.PutinarBackbone.unified_polynomial - -theorem -unified_polynomial - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.unified_polynomial - - -contains - - - -Semantics.PutinarBackbone.SemialgebraicSet - -def -SemialgebraicSet - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.SemialgebraicSet - - -contains - - - -Semantics.PutinarBackbone.goormaghtighDomain - -def -goormaghtighDomain - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.goormaghtighDomain - - -contains - - - -Semantics.PutinarBackbone.noCollisionDomain - -def -noCollisionDomain - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.noCollisionDomain - - -contains - - - -Semantics.PutinarBackbone.verifySDPSolution - -def -verifySDPSolution - - - -Semantics.PutinarBackbone->Semantics.PutinarBackbone.verifySDPSolution - - -contains - - - -Semantics.Q0_2 - -module -Q0_2 - - - -Semantics.Q0_2.allValues_are_Q0_2 - -theorem -allValues_are_Q0_2 - - - -Semantics.Q0_2->Semantics.Q0_2.allValues_are_Q0_2 - - -contains - - - -Semantics.Q0_2.allValues_length - -theorem -allValues_length - - - -Semantics.Q0_2->Semantics.Q0_2.allValues_length - - -contains - - - -Semantics.Q0_2.q0_2_mul_self_nonneg - -theorem -q0_2_mul_self_nonneg - - - -Semantics.Q0_2->Semantics.Q0_2.q0_2_mul_self_nonneg - - -contains - - - -Semantics.Q0_2.q0_2_mul_nonneg - -theorem -q0_2_mul_nonneg - - - -Semantics.Q0_2->Semantics.Q0_2.q0_2_mul_nonneg - - -contains - - - -Semantics.Q0_2.q0_2_add_nonneg - -theorem -q0_2_add_nonneg - - - -Semantics.Q0_2->Semantics.Q0_2.q0_2_add_nonneg - - -contains - - - -Semantics.Q0_2.q0_2_zero - -def -q0_2_zero - - - -Semantics.Q0_2->Semantics.Q0_2.q0_2_zero - - -contains - - - -Semantics.Q0_2.q0_2_quarter - -def -q0_2_quarter - - - -Semantics.Q0_2->Semantics.Q0_2.q0_2_quarter - - -contains - - - -Semantics.Q0_2.q0_2_half - -def -q0_2_half - - - -Semantics.Q0_2->Semantics.Q0_2.q0_2_half - - -contains - - - -Semantics.Q0_2.q0_2_three_quarter - -def -q0_2_three_quarter - - - -Semantics.Q0_2->Semantics.Q0_2.q0_2_three_quarter - - -contains - - - -Semantics.Q0_2.allValues - -def -allValues - - - -Semantics.Q0_2->Semantics.Q0_2.allValues - - -contains - - - -Semantics.Q0_2.IsQ0_2 - -def -IsQ0_2 - - - -Semantics.Q0_2->Semantics.Q0_2.IsQ0_2 - - -contains - - - -Semantics.Q16InverseProof - -module -Q16InverseProof - - - -Semantics.Q16InverseProof.toRat_injective - -theorem -toRat_injective - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRat_injective - - -contains - - - -Semantics.Q16InverseProof.ofRawInt_inRange - -theorem -ofRawInt_inRange - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.ofRawInt_inRange - - -contains - - - -Semantics.Q16InverseProof.toRat_mul_exact - -theorem -toRat_mul_exact - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRat_mul_exact - - -contains - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRat_mul_exact - - -contains - - - -Semantics.Q16InverseProof.ofRawInt_val - -theorem -ofRawInt_val - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.ofRawInt_val - - -contains - - - -Semantics.Q16InverseProof.toRat_add_exact - -theorem -toRat_add_exact - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRat_add_exact - - -contains - - - -Semantics.Q16InverseProof.toRat_div_exact - -theorem -toRat_div_exact - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRat_div_exact - - -contains - - - -Semantics.Q16InverseProof.toRat_zero - -theorem -toRat_zero - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRat_zero - - -contains - - - -Semantics.Q16InverseProof.toRat_one - -theorem -toRat_one - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRat_one - - -contains - - - -Semantics.Q16InverseProof.mul_one_eq - -theorem -mul_one_eq - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.mul_one_eq - - -contains - - - -Semantics.Q16InverseProof.one_mul_eq - -theorem -one_mul_eq - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.one_mul_eq - - -contains - - - -Semantics.Q16InverseProof.foldl_toRat_sum - -theorem -foldl_toRat_sum - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.foldl_toRat_sum - - -contains - - - -Semantics.Q16InverseProof.toRat_ofInt_neg_one - -theorem -toRat_ofInt_neg_one - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRat_ofInt_neg_one - - -contains - - - -Semantics.Q16InverseProof.toRat_cofactor_sign - -theorem -toRat_cofactor_sign - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRat_cofactor_sign - - -contains - - - -Semantics.Q16InverseProof.cofactor_sign_mul_exact_full - -theorem -cofactor_sign_mul_exact_full - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.cofactor_sign_mul_exact_full - - -contains - - - -Semantics.Q16InverseProof.list_range_sum_eq_finset_sum - -theorem -list_range_sum_eq_finset_sum - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.list_range_sum_eq_finset_sum - - -contains - - - -Semantics.Q16InverseProof.list_map_congr - -theorem -list_map_congr - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.list_map_congr - - -contains - - - -Semantics.Q16InverseProof.getEntry - -theorem -getEntry - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.getEntry - - -contains - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.getEntry - - -contains - - - -Semantics.Q16InverseProof.toRM_identity - -theorem -toRM_identity - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRM_identity - - -contains - - - -Semantics.Q16InverseProof.identity8_wf - -theorem -identity8_wf - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.identity8_wf - - -contains - - - -Semantics.Q16InverseProof.toRM_entry_eq - -theorem -toRM_entry_eq - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRM_entry_eq - - -contains - - - -Semantics.Q16InverseProof.matrix8_ext - -theorem -matrix8_ext - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.matrix8_ext - - -contains - - - -Semantics.Q16InverseProof.toRM_injective_of_sizes - -theorem -toRM_injective_of_sizes - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRM_injective_of_sizes - - -contains - - - -Semantics.Q16InverseProof.toRM_injective_of_wf - -theorem -toRM_injective_of_wf - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRM_injective_of_wf - - -contains - - - -Semantics.Q16InverseProof.Array - -theorem -Array - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.Array - - -contains - - - -Semantics.Q16InverseProof.foldl_range_push_size - -theorem -foldl_range_push_size - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.foldl_range_push_size - - -contains - - - -Semantics.Q16InverseProof.foldl_range_push_get - -theorem -foldl_range_push_get - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.foldl_range_push_get - - -contains - - - -Semantics.Q16InverseProof.getEntryQ_minorQ - -theorem -getEntryQ_minorQ - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.getEntryQ_minorQ - - -contains - - - -Semantics.Q16InverseProof.minorQ_wf - -theorem -minorQ_wf - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.minorQ_wf - - -contains - - - -Semantics.Q16InverseProof.toRMn_minorQ - -theorem -toRMn_minorQ - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRMn_minorQ - - -contains - - - -Semantics.Q16InverseProof.toRat - -def -toRat - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRat - - -contains - - - -Semantics.Q16InverseProof.Q16_16 - -def -Q16_16 - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.Q16_16 - - -contains - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.Q16_16 - - -contains - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.Q16_16 - - -contains - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.Q16_16 - - -contains - - - -Semantics.Q16InverseProof.toRM - -def -toRM - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRM - - -contains - - - -Semantics.Q16InverseProof.Matrix8_wf - -def -Matrix8_wf - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.Matrix8_wf - - -contains - - - -Semantics.Q16InverseProof.toRMn - -def -toRMn - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.toRMn - - -contains - - - -Semantics.Q16InverseProof.DetQExact - -def -DetQExact - - - -Semantics.Q16InverseProof->Semantics.Q16InverseProof.DetQExact - - -contains - - - -Semantics.Q16_16Numerics - -module -Q16_16Numerics - - - -Semantics.Q16_16Numerics.exp_zero - -theorem -exp_zero - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.exp_zero - - -contains - - - -Semantics.Q16_16Numerics.sqrt_zero - -theorem -sqrt_zero - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.sqrt_zero - - -contains - - - -Semantics.Q16_16Numerics.ln_one - -theorem -ln_one - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.ln_one - - -contains - - - -Semantics.Q16_16Numerics.sin_zero - -theorem -sin_zero - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.sin_zero - - -contains - - - -Semantics.Q16_16Numerics.pi - -def -pi - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.pi - - -contains - - - -Semantics.Q16_16Numerics.e - -def -e - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.e - - -contains - - - -Semantics.Q16_16Numerics.ln2 - -def -ln2 - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.ln2 - - -contains - - - -Semantics.Q16_16Numerics.sqrt2 - -def -sqrt2 - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.sqrt2 - - -contains - - - -Semantics.Q16_16Numerics.exp - -def -exp - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.exp - - -contains - - - -Semantics.Q16_16Numerics.expNeg - -def -expNeg - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.expNeg - - -contains - - - -Semantics.Q16_16Numerics.sqrt - -def -sqrt - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.sqrt - - -contains - - - -Semantics.Q16_16Numerics.ln - -def -ln - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.ln - - -contains - - - -Semantics.Q16_16Numerics.log2 - -def -log2 - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.log2 - - -contains - - - -Semantics.Q16_16Numerics.sin - -def -sin - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.sin - - -contains - - - -Semantics.Q16_16Numerics.cos - -def -cos - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.cos - - -contains - - - -Semantics.Q16_16Numerics.tan - -def -tan - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.tan - - -contains - - - -Semantics.Q16_16Numerics.asin - -def -asin - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.asin - - -contains - - - -Semantics.Q16_16Numerics.acos - -def -acos - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.acos - - -contains - - - -Semantics.Q16_16Numerics.atan - -def -atan - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.atan - - -contains - - - -Semantics.Q16_16Numerics.atan2 - -def -atan2 - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.atan2 - - -contains - - - -Semantics.Q16_16Numerics.sinh - -def -sinh - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.sinh - - -contains - - - -Semantics.Q16_16Numerics.cosh - -def -cosh - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.cosh - - -contains - - - -Semantics.Q16_16Numerics.tanh - -def -tanh - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.tanh - - -contains - - - -Semantics.Q16_16Numerics.pow - -def -pow - - - -Semantics.Q16_16Numerics->Semantics.Q16_16Numerics.pow - - -contains - - - -Semantics.Q16_16_Unification_Demo - -module -Q16_16_Unification_Demo - - - -Semantics.Q16_16_Unification_Demo->Semantics.FixedPoint - - -imports - - - -Semantics.QFactor - -module -QFactor - - - -Semantics.QFactor->Semantics.FixedPoint - - -imports - - - -Semantics.QFactor.lawful_preserves_non_negative_surplus - -theorem -lawful_preserves_non_negative_surplus - - - -Semantics.QFactor->Semantics.QFactor.lawful_preserves_non_negative_surplus - - -contains - - - -Semantics.QFactor.lawful_preserves_invariant_string - -theorem -lawful_preserves_invariant_string - - - -Semantics.QFactor->Semantics.QFactor.lawful_preserves_invariant_string - - -contains - - - -Semantics.QFactor.calculateQFactor - -def -calculateQFactor - - - -Semantics.QFactor->Semantics.QFactor.calculateQFactor - - -contains - - - -Semantics.QFactor.meetsTargetQ - -def -meetsTargetQ - - - -Semantics.QFactor->Semantics.QFactor.meetsTargetQ - - -contains - - - -Semantics.QFactor.hasNetEnergyGain - -def -hasNetEnergyGain - - - -Semantics.QFactor->Semantics.QFactor.hasNetEnergyGain - - -contains - - - -Semantics.QFactor.energySurplus - -def -energySurplus - - - -Semantics.QFactor->Semantics.QFactor.energySurplus - - -contains - - - -Semantics.QFactor.energyEfficiencyFromBalance - -def -energyEfficiencyFromBalance - - - -Semantics.QFactor->Semantics.QFactor.energyEfficiencyFromBalance - - -contains - - - -Semantics.QFactor.recoveryRatio - -def -recoveryRatio - - - -Semantics.QFactor->Semantics.QFactor.recoveryRatio - - -contains - - - -Semantics.QFactor.updateEnergyBalance - -def -updateEnergyBalance - - - -Semantics.QFactor->Semantics.QFactor.updateEnergyBalance - - -contains - - - -Semantics.QFactor.isQFactorActionLawful - -def -isQFactorActionLawful - - - -Semantics.QFactor->Semantics.QFactor.isQFactorActionLawful - - -contains - - - -Semantics.QFactor.qFactorBind - -def -qFactorBind - - - -Semantics.QFactor->Semantics.QFactor.qFactorBind - - -contains - - - -Semantics.QRGridState - -module -QRGridState - - - -Semantics.QRGridState.applyTileFlipIncrementsVersion - -theorem -applyTileFlipIncrementsVersion - - - -Semantics.QRGridState->Semantics.QRGridState.applyTileFlipIncrementsVersion - - -contains - - - -Semantics.QRGridState.applyTileFlipPreservesGridSize - -theorem -applyTileFlipPreservesGridSize - - - -Semantics.QRGridState->Semantics.QRGridState.applyTileFlipPreservesGridSize - - -contains - - - -Semantics.QRGridState.pruneHistoryReducesHistorySize - -theorem -pruneHistoryReducesHistorySize - - - -Semantics.QRGridState->Semantics.QRGridState.pruneHistoryReducesHistorySize - - -contains - - - -Semantics.QRGridState.validateQRGridConsistencyReturnsBool - -theorem -validateQRGridConsistencyReturnsBool - - - -Semantics.QRGridState->Semantics.QRGridState.validateQRGridConsistencyReturnsBool - - -contains - - - -Semantics.QRGridState.zero - -def -zero - - - -Semantics.QRGridState->Semantics.QRGridState.zero - - -contains - - - -Semantics.QRGridState.one - -def -one - - - -Semantics.QRGridState->Semantics.QRGridState.one - - -contains - - - -Semantics.QRGridState.ofFrac - -def -ofFrac - - - -Semantics.QRGridState->Semantics.QRGridState.ofFrac - - -contains - - - -Semantics.QRGridState.createInitialQRGrid - -def -createInitialQRGrid - - - -Semantics.QRGridState->Semantics.QRGridState.createInitialQRGrid - - -contains - - - -Semantics.QRGridState.applyTileFlip - -def -applyTileFlip - - - -Semantics.QRGridState->Semantics.QRGridState.applyTileFlip - - -contains - - - -Semantics.QRGridState.applyMultipleTileFlips - -def -applyMultipleTileFlips - - - -Semantics.QRGridState->Semantics.QRGridState.applyMultipleTileFlips - - -contains - - - -Semantics.QRGridState.validateQRGridConsistency - -def -validateQRGridConsistency - - - -Semantics.QRGridState->Semantics.QRGridState.validateQRGridConsistency - - -contains - - - -Semantics.QRGridState.computeGridHash - -def -computeGridHash - - - -Semantics.QRGridState->Semantics.QRGridState.computeGridHash - - -contains - - - -Semantics.QRGridState.getGridShapeHash - -def -getGridShapeHash - - - -Semantics.QRGridState->Semantics.QRGridState.getGridShapeHash - - -contains - - - -Semantics.QRGridState.pruneHistory - -def -pruneHistory - - - -Semantics.QRGridState->Semantics.QRGridState.pruneHistory - - -contains - - - -Semantics.QuadrionBoundness - -module -QuadrionBoundness - - - -Semantics.QuadrionBoundness.rebound_quadrion_fraction - -theorem -rebound_quadrion_fraction - - - -Semantics.QuadrionBoundness->Semantics.QuadrionBoundness.rebound_quadrion_fraction - - -contains - - - -Semantics.QuadrionBoundness.sidonAddress - -def -sidonAddress - - - -Semantics.QuadrionBoundness->Semantics.QuadrionBoundness.sidonAddress - - -contains - - - -Semantics.QuadrionBoundness.particleMass - -def -particleMass - - - -Semantics.QuadrionBoundness->Semantics.QuadrionBoundness.particleMass - - -contains - - - -Semantics.QuadrionBoundness.totalQuadrions - -def -totalQuadrions - - - -Semantics.QuadrionBoundness->Semantics.QuadrionBoundness.totalQuadrions - - -contains - - - -Semantics.QuadrionBoundness.quadrionSidonSumset - -def -quadrionSidonSumset - - - -Semantics.QuadrionBoundness->Semantics.QuadrionBoundness.quadrionSidonSumset - - -contains - - - -Semantics.QuadrionBoundness.sidonSumsAllDistinct - -def -sidonSumsAllDistinct - - - -Semantics.QuadrionBoundness->Semantics.QuadrionBoundness.sidonSumsAllDistinct - - -contains - - - -Semantics.QuadrionBoundness.boundnessRatio - -def -boundnessRatio - - - -Semantics.QuadrionBoundness->Semantics.QuadrionBoundness.boundnessRatio - - -contains - - - -Semantics.QuadrionBoundness.boundnessThreshold - -def -boundnessThreshold - - - -Semantics.QuadrionBoundness->Semantics.QuadrionBoundness.boundnessThreshold - - -contains - - - -Semantics.QuadrionBoundness.isPredictedBound - -def -isPredictedBound - - - -Semantics.QuadrionBoundness->Semantics.QuadrionBoundness.isPredictedBound - - -contains - - - -Semantics.QuadrionBoundness.positroniumMolecule - -def -positroniumMolecule - - - -Semantics.QuadrionBoundness->Semantics.QuadrionBoundness.positroniumMolecule - - -contains - - - -Semantics.QuadrionBoundness.hydrogenMolecule - -def -hydrogenMolecule - - - -Semantics.QuadrionBoundness->Semantics.QuadrionBoundness.hydrogenMolecule - - -contains - - - -Semantics.Quantization - -module -Quantization - - - -Semantics.Quantization.ternaryQuantErrorBound - -theorem -ternaryQuantErrorBound - - - -Semantics.Quantization->Semantics.Quantization.ternaryQuantErrorBound - - -contains - - - -Semantics.Quantization.activationQuantPreservesRange - -theorem -activationQuantPreservesRange - - - -Semantics.Quantization->Semantics.Quantization.activationQuantPreservesRange - - -contains - - - -Semantics.Quantization.mlgruIsMatMulFree - -theorem -mlgruIsMatMulFree - - - -Semantics.Quantization->Semantics.Quantization.mlgruIsMatMulFree - - -contains - - - -Semantics.Quantization.memoryReductionAsymptotic - -theorem -memoryReductionAsymptotic - - - -Semantics.Quantization->Semantics.Quantization.memoryReductionAsymptotic - - -contains - - - -Semantics.Quantization.toInt8 - -def -toInt8 - - - -Semantics.Quantization->Semantics.Quantization.toInt8 - - -contains - - - -Semantics.Quantization.toQ16_16 - -def -toQ16_16 - - - -Semantics.Quantization->Semantics.Quantization.toQ16_16 - - -contains - - - -Semantics.Quantization.add - -def -add - - - -Semantics.Quantization->Semantics.Quantization.add - - -contains - - - -Semantics.Quantization.mul - -def -mul - - - -Semantics.Quantization->Semantics.Quantization.mul - - -contains - - - -Semantics.Quantization.roundClipTernary - -def -roundClipTernary - - - -Semantics.Quantization->Semantics.Quantization.roundClipTernary - - -contains - - - -Semantics.Quantization.ternaryWeightQuant - -def -ternaryWeightQuant - - - -Semantics.Quantization->Semantics.Quantization.ternaryWeightQuant - - -contains - - - -Semantics.Quantization.Q_b - -def -Q_b - - - -Semantics.Quantization->Semantics.Quantization.Q_b - - -contains - - - -Semantics.Quantization.activationScale - -def -activationScale - - - -Semantics.Quantization->Semantics.Quantization.activationScale - - -contains - - - -Semantics.Quantization.clipActivation - -def -clipActivation - - - -Semantics.Quantization->Semantics.Quantization.clipActivation - - -contains - - - -Semantics.Quantization.bitLinearQuant - -def -bitLinearQuant - - - -Semantics.Quantization->Semantics.Quantization.bitLinearQuant - - -contains - - - -Semantics.Quantization.gatedUpdate - -def -gatedUpdate - - - -Semantics.Quantization->Semantics.Quantization.gatedUpdate - - -contains - - - -Semantics.Quantization.mlgruRecurrence - -def -mlgruRecurrence - - - -Semantics.Quantization->Semantics.Quantization.mlgruRecurrence - - -contains - - - -Semantics.Quantization.evalMatMulFree - -def -evalMatMulFree - - - -Semantics.Quantization->Semantics.Quantization.evalMatMulFree - - -contains - - - -Semantics.Quantization.memoryFP16 - -def -memoryFP16 - - - -Semantics.Quantization->Semantics.Quantization.memoryFP16 - - -contains - - - -Semantics.Quantization.memoryTernary - -def -memoryTernary - - - -Semantics.Quantization->Semantics.Quantization.memoryTernary - - -contains - - - -Semantics.Quantization.memoryReductionFactor - -def -memoryReductionFactor - - - -Semantics.Quantization->Semantics.Quantization.memoryReductionFactor - - -contains - - - -Semantics.Quantization.wgslTernaryQuant - -def -wgslTernaryQuant - - - -Semantics.Quantization->Semantics.Quantization.wgslTernaryQuant - - -contains - - - -Semantics.Quantization.wgslMLGRU - -def -wgslMLGRU - - - -Semantics.Quantization->Semantics.Quantization.wgslMLGRU - - -contains - - - -Semantics.Quantization.dispatchTernaryQuant - -def -dispatchTernaryQuant - - - -Semantics.Quantization->Semantics.Quantization.dispatchTernaryQuant - - -contains - - - -Semantics.QuantumAwareLean - -module -QuantumAwareLean - - - -Semantics.QuantumAwareLean.shorCodeCorrectsSingleError - -theorem -shorCodeCorrectsSingleError - - - -Semantics.QuantumAwareLean->Semantics.QuantumAwareLean.shorCodeCorrectsSingleError - - -contains - - - -Semantics.QuantumAwareLean.entanglementEntropyNonNegative - -theorem -entanglementEntropyNonNegative - - - -Semantics.QuantumAwareLean->Semantics.QuantumAwareLean.entanglementEntropyNonNegative - - -contains - - - -Semantics.QuantumAwareLean.chernNumberInteger - -theorem -chernNumberInteger - - - -Semantics.QuantumAwareLean->Semantics.QuantumAwareLean.chernNumberInteger - - -contains - - - -Semantics.QuantumAwareLean.applyOperation - -def -applyOperation - - - -Semantics.QuantumAwareLean->Semantics.QuantumAwareLean.applyOperation - - -contains - - - -Semantics.QuantumAwareLean.applyCircuit - -def -applyCircuit - - - -Semantics.QuantumAwareLean->Semantics.QuantumAwareLean.applyCircuit - - -contains - - - -Semantics.QuantumAwareLean.bellStateEntanglementEntropy - -def -bellStateEntanglementEntropy - - - -Semantics.QuantumAwareLean->Semantics.QuantumAwareLean.bellStateEntanglementEntropy - - -contains - - - -Semantics.QuantumAwareLean.chernNumberQuantumHall - -def -chernNumberQuantumHall - - - -Semantics.QuantumAwareLean->Semantics.QuantumAwareLean.chernNumberQuantumHall - - -contains - - - -Semantics.QuantumAwareLean.windingNumber1D - -def -windingNumber1D - - - -Semantics.QuantumAwareLean->Semantics.QuantumAwareLean.windingNumber1D - - -contains - - - -Semantics.QuantumAwareLean.berryPhase - -def -berryPhase - - - -Semantics.QuantumAwareLean->Semantics.QuantumAwareLean.berryPhase - - -contains - - - -Semantics.QuantumAwareLean.shorCode - -def -shorCode - - - -Semantics.QuantumAwareLean->Semantics.QuantumAwareLean.shorCode - - -contains - - - -Semantics.QuantumAwareLean.steaneCode - -def -steaneCode - - - -Semantics.QuantumAwareLean->Semantics.QuantumAwareLean.steaneCode - - -contains - - - -Semantics.QuantumAwareLean.surfaceCode - -def -surfaceCode - - - -Semantics.QuantumAwareLean->Semantics.QuantumAwareLean.surfaceCode - - -contains - - - -Semantics.QuantumManifoldGeometry - -module -QuantumManifoldGeometry - - - -Semantics.QuantumManifoldGeometry->Semantics.FixedPoint - - -imports - - - -Semantics.QuantumManifoldGeometry.probability_nonneg - -theorem -probability_nonneg - - - -Semantics.QuantumManifoldGeometry->Semantics.QuantumManifoldGeometry.probability_nonneg - - -contains - - - -Semantics.QuantumManifoldGeometry.total_probability_one - -theorem -total_probability_one - - - -Semantics.QuantumManifoldGeometry->Semantics.QuantumManifoldGeometry.total_probability_one - - -contains - - - -Semantics.QuantumManifoldGeometry.energyObservable_nonneg - -theorem -energyObservable_nonneg - - - -Semantics.QuantumManifoldGeometry->Semantics.QuantumManifoldGeometry.energyObservable_nonneg - - -contains - - - -Semantics.QuantumManifoldGeometry.gradientMagnitude_nonneg - -theorem -gradientMagnitude_nonneg - - - -Semantics.QuantumManifoldGeometry->Semantics.QuantumManifoldGeometry.gradientMagnitude_nonneg - - -contains - - - -Semantics.QuantumManifoldGeometry.getAmplitude - -def -getAmplitude - - - -Semantics.QuantumManifoldGeometry->Semantics.QuantumManifoldGeometry.getAmplitude - - -contains - - - -Semantics.QuantumManifoldGeometry.probability - -def -probability - - - -Semantics.QuantumManifoldGeometry->Semantics.QuantumManifoldGeometry.probability - - -contains - - - -Semantics.QuantumManifoldGeometry.normalize - -def -normalize - - - -Semantics.QuantumManifoldGeometry->Semantics.QuantumManifoldGeometry.normalize - - -contains - - - -Semantics.QuantumManifoldGeometry.energyObservable - -def -energyObservable - - - -Semantics.QuantumManifoldGeometry->Semantics.QuantumManifoldGeometry.energyObservable - - -contains - - - -Semantics.QuantumManifoldGeometry.temporalDerivative - -def -temporalDerivative - - - -Semantics.QuantumManifoldGeometry->Semantics.QuantumManifoldGeometry.temporalDerivative - - -contains - - - -Semantics.QuantumManifoldGeometry.spatialGradient - -def -spatialGradient - - - -Semantics.QuantumManifoldGeometry->Semantics.QuantumManifoldGeometry.spatialGradient - - -contains - - - -Semantics.QuantumManifoldGeometry.energyGradient - -def -energyGradient - - - -Semantics.QuantumManifoldGeometry->Semantics.QuantumManifoldGeometry.energyGradient - - -contains - - - -Semantics.QuantumManifoldGeometry.timeEvolution - -def -timeEvolution - - - -Semantics.QuantumManifoldGeometry->Semantics.QuantumManifoldGeometry.timeEvolution - - -contains - - - -Semantics.Quaternion->Semantics.DynamicCanal - - -imports - - - -Semantics.Quaternion.ext - -theorem -ext - - - -Semantics.Quaternion->Semantics.Quaternion.ext - - -contains - - - -Semantics.Quaternion.zero - -def -zero - - - -Semantics.Quaternion->Semantics.Quaternion.zero - - -contains - - - -Semantics.Quaternion.one - -def -one - - - -Semantics.Quaternion->Semantics.Quaternion.one - - -contains - - - -Semantics.Quaternion.i - -def -i - - - -Semantics.Quaternion->Semantics.Quaternion.i - - -contains - - - -Semantics.Quaternion.j - -def -j - - - -Semantics.Quaternion->Semantics.Quaternion.j - - -contains - - - -Semantics.Quaternion.k - -def -k - - - -Semantics.Quaternion->Semantics.Quaternion.k - - -contains - - - -Semantics.Quaternion.add - -def -add - - - -Semantics.Quaternion->Semantics.Quaternion.add - - -contains - - - -Semantics.Quaternion.sub - -def -sub - - - -Semantics.Quaternion->Semantics.Quaternion.sub - - -contains - - - -Semantics.Quaternion.neg - -def -neg - - - -Semantics.Quaternion->Semantics.Quaternion.neg - - -contains - - - -Semantics.Quaternion.mul - -def -mul - - - -Semantics.Quaternion->Semantics.Quaternion.mul - - -contains - - - -Semantics.Quaternion.dot - -def -dot - - - -Semantics.Quaternion->Semantics.Quaternion.dot - - -contains - - - -Semantics.Quaternion.normApprox - -def -normApprox - - - -Semantics.Quaternion->Semantics.Quaternion.normApprox - - -contains - - - -Semantics.Quaternion.conj - -def -conj - - - -Semantics.Quaternion->Semantics.Quaternion.conj - - -contains - - - -Semantics.Quaternion.smul - -def -smul - - - -Semantics.Quaternion->Semantics.Quaternion.smul - - -contains - - - -Semantics.Quaternion.fromColor - -def -fromColor - - - -Semantics.Quaternion->Semantics.Quaternion.fromColor - - -contains - - - -Semantics.QuaternionScalar - -module -QuaternionScalar - - - -Semantics.QuaternionScalar.make - -def -make - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.make - - -contains - - - -Semantics.QuaternionScalar.zero - -def -zero - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.zero - - -contains - - - -Semantics.QuaternionScalar.one - -def -one - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.one - - -contains - - - -Semantics.QuaternionScalar.vectorMagSq - -def -vectorMagSq - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.vectorMagSq - - -contains - - - -Semantics.QuaternionScalar.magSq - -def -magSq - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.magSq - - -contains - - - -Semantics.QuaternionScalar.add - -def -add - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.add - - -contains - - - -Semantics.QuaternionScalar.mul - -def -mul - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.mul - - -contains - - - -Semantics.QuaternionScalar.sq - -def -sq - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.sq - - -contains - - - -Semantics.QuaternionScalar.scalarPart - -def -scalarPart - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.scalarPart - - -contains - - - -Semantics.QuaternionScalar.vectorPart - -def -vectorPart - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.vectorPart - - -contains - - - -Semantics.QuaternionScalar.isUnit - -def -isUnit - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.isUnit - - -contains - - - -Semantics.QuaternionScalar.halfAngleCosine - -def -halfAngleCosine - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.halfAngleCosine - - -contains - - - -Semantics.QuaternionScalar.informationDensity - -def -informationDensity - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.informationDensity - - -contains - - - -Semantics.QuaternionScalar.temporalScale - -def -temporalScale - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.temporalScale - - -contains - - - -Semantics.QuaternionScalar.encode - -def -encode - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.encode - - -contains - - - -Semantics.QuaternionScalar.scalarWidth - -def -scalarWidth - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.scalarWidth - - -contains - - - -Semantics.QuaternionScalar.vectorWidth - -def -vectorWidth - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.vectorWidth - - -contains - - - -Semantics.QuaternionScalar.scalarInBounds - -def -scalarInBounds - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.scalarInBounds - - -contains - - - -Semantics.QuaternionScalar.vectorInBounds - -def -vectorInBounds - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.vectorInBounds - - -contains - - - -Semantics.QuaternionScalar.bracketAdd - -def -bracketAdd - - - -Semantics.QuaternionScalar->Semantics.QuaternionScalar.bracketAdd - - -contains - - - -Semantics.RFPFieldSolver - -module -RFPFieldSolver - - - -Semantics.RFPFieldSolver.computeLaplacianZeroWhenFieldsEqual - -theorem -computeLaplacianZeroWhenFieldsEqual - - - -Semantics.RFPFieldSolver->Semantics.RFPFieldSolver.computeLaplacianZeroWhenFieldsEqual - - -contains - - - -Semantics.RFPFieldSolver.computeDampingZeroWhenVelocityZero - -theorem -computeDampingZeroWhenVelocityZero - - - -Semantics.RFPFieldSolver->Semantics.RFPFieldSolver.computeDampingZeroWhenVelocityZero - - -contains - - - -Semantics.RFPFieldSolver.fieldEquationStepPreservesStructure - -theorem -fieldEquationStepPreservesStructure - - - -Semantics.RFPFieldSolver->Semantics.RFPFieldSolver.fieldEquationStepPreservesStructure - - -contains - - - -Semantics.RFPFieldSolver.initializeFieldStateHasZeroVelocity - -theorem -initializeFieldStateHasZeroVelocity - - - -Semantics.RFPFieldSolver->Semantics.RFPFieldSolver.initializeFieldStateHasZeroVelocity - - -contains - - - -Semantics.RFPFieldSolver.computeLaplacian - -def -computeLaplacian - - - -Semantics.RFPFieldSolver->Semantics.RFPFieldSolver.computeLaplacian - - -contains - - - -Semantics.RFPFieldSolver.computeDamping - -def -computeDamping - - - -Semantics.RFPFieldSolver->Semantics.RFPFieldSolver.computeDamping - - -contains - - - -Semantics.RFPFieldSolver.applySourceTerm - -def -applySourceTerm - - - -Semantics.RFPFieldSolver->Semantics.RFPFieldSolver.applySourceTerm - - -contains - - - -Semantics.RFPFieldSolver.fieldEquationStep - -def -fieldEquationStep - - - -Semantics.RFPFieldSolver->Semantics.RFPFieldSolver.fieldEquationStep - - -contains - - - -Semantics.RFPFieldSolver.initializeFieldState - -def -initializeFieldState - - - -Semantics.RFPFieldSolver->Semantics.RFPFieldSolver.initializeFieldState - - -contains - - - -Semantics.RFPFieldSolver.initializeFieldParameters - -def -initializeFieldParameters - - - -Semantics.RFPFieldSolver->Semantics.RFPFieldSolver.initializeFieldParameters - - -contains - - - -Semantics.RRC.Corpus250 - -module -Corpus250 - - - -Semantics.RRC.Corpus250.corpus250 - -def -corpus250 - - - -Semantics.RRC.Corpus250->Semantics.RRC.Corpus250.corpus250 - - -contains - - - -Semantics.RRC.Emit - -module -Emit - - - -Semantics.RRC.Emit.alignmentScore - -def -alignmentScore - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.alignmentScore - - -contains - - - -Semantics.RRC.Emit.pistStructuralLabels - -def -pistStructuralLabels - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.pistStructuralLabels - - -contains - - - -Semantics.RRC.Emit.rrcSemanticShapes - -def -rrcSemanticShapes - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.rrcSemanticShapes - - -contains - - - -Semantics.RRC.Emit.shapeStr - -def -shapeStr - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.shapeStr - - -contains - - - -Semantics.RRC.Emit.determineAlignment - -def -determineAlignment - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.determineAlignment - - -contains - - - -Semantics.RRC.Emit.alignmentWarnings - -def -alignmentWarnings - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.alignmentWarnings - - -contains - - - -Semantics.RRC.Emit.compileRow - -def -compileRow - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.compileRow - - -contains - - - -Semantics.RRC.Emit.fixtureClf - -def -fixtureClf - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.fixtureClf - - -contains - - - -Semantics.RRC.Emit.fixtureSsrc - -def -fixtureSsrc - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.fixtureSsrc - - -contains - - - -Semantics.RRC.Emit.fixtureLp - -def -fixtureLp - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.fixtureLp - - -contains - - - -Semantics.RRC.Emit.fixturePgt - -def -fixturePgt - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.fixturePgt - - -contains - - - -Semantics.RRC.Emit.fixtureCad - -def -fixtureCad - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.fixtureCad - - -contains - - - -Semantics.RRC.Emit.fixtureHold - -def -fixtureHold - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.fixtureHold - - -contains - - - -Semantics.RRC.Emit.fixtureCorpus - -def -fixtureCorpus - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.fixtureCorpus - - -contains - - - -Semantics.RRC.Emit.jStr - -def -jStr - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.jStr - - -contains - - - -Semantics.RRC.Emit.jBool - -def -jBool - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.jBool - - -contains - - - -Semantics.RRC.Emit.jOpt - -def -jOpt - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.jOpt - - -contains - - - -Semantics.RRC.Emit.jAlignment - -def -jAlignment - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.jAlignment - - -contains - - - -Semantics.RRC.Emit.jPromotion - -def -jPromotion - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.jPromotion - - -contains - - - -Semantics.RRC.Emit.jWitness - -def -jWitness - - - -Semantics.RRC.Emit->Semantics.RRC.Emit.jWitness - - -contains - - - -Semantics.RRC.EntropyCandidates.Candidates - -module -Candidates - - - -Semantics.RRC.EntropyCandidates.Candidates->Semantics.BraidEigensolid - - -imports - - - -Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank000_seed100 - -def -candidate_torus_rank000_seed100 - - - -Semantics.RRC.EntropyCandidates.Candidates->Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank000_seed100 - - -contains - - - -Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank001_seed101 - -def -candidate_torus_rank001_seed101 - - - -Semantics.RRC.EntropyCandidates.Candidates->Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank001_seed101 - - -contains - - - -Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank002_seed102 - -def -candidate_torus_rank002_seed102 - - - -Semantics.RRC.EntropyCandidates.Candidates->Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank002_seed102 - - -contains - - - -Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank003_seed103 - -def -candidate_torus_rank003_seed103 - - - -Semantics.RRC.EntropyCandidates.Candidates->Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank003_seed103 - - -contains - - - -Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank004_seed104 - -def -candidate_torus_rank004_seed104 - - - -Semantics.RRC.EntropyCandidates.Candidates->Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank004_seed104 - - -contains - - - -Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank005_seed105 - -def -candidate_torus_rank005_seed105 - - - -Semantics.RRC.EntropyCandidates.Candidates->Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank005_seed105 - - -contains - - - -Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank006_seed106 - -def -candidate_torus_rank006_seed106 - - - -Semantics.RRC.EntropyCandidates.Candidates->Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank006_seed106 - - -contains - - - -Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank007_seed107 - -def -candidate_torus_rank007_seed107 - - - -Semantics.RRC.EntropyCandidates.Candidates->Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank007_seed107 - - -contains - - - -Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank008_seed108 - -def -candidate_torus_rank008_seed108 - - - -Semantics.RRC.EntropyCandidates.Candidates->Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank008_seed108 - - -contains - - - -Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank009_seed109 - -def -candidate_torus_rank009_seed109 - - - -Semantics.RRC.EntropyCandidates.Candidates->Semantics.RRC.EntropyCandidates.Candidates.candidate_torus_rank009_seed109 - - -contains - - - -Semantics.RRC.EntropyCandidates.Candidates.allCandidates - -def -allCandidates - - - -Semantics.RRC.EntropyCandidates.Candidates->Semantics.RRC.EntropyCandidates.Candidates.allCandidates - - -contains - - - -Semantics.RRC.EntropyCandidates.Candidates.verifyAllCandidates - -def -verifyAllCandidates - - - -Semantics.RRC.EntropyCandidates.Candidates->Semantics.RRC.EntropyCandidates.Candidates.verifyAllCandidates - - -contains - - - -Semantics.RRC.PolyFactorIdentity - -module -PolyFactorIdentity - - - -Semantics.RRC.PolyFactorIdentity.limbDecompose_polyEval_roundtrip - -theorem -limbDecompose_polyEval_roundtrip - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.limbDecompose_polyEval_roundtrip - - -contains - - - -Semantics.RRC.PolyFactorIdentity.zeroLimbs_bound_terms - -theorem -zeroLimbs_bound_terms - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.zeroLimbs_bound_terms - - -contains - - - -Semantics.RRC.PolyFactorIdentity.div_mul_div_le - -theorem -div_mul_div_le - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.div_mul_div_le - - -contains - - - -Semantics.RRC.PolyFactorIdentity.sparsity_mono - -theorem -sparsity_mono - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.sparsity_mono - - -contains - - - -Semantics.RRC.PolyFactorIdentity.limbDecompose_mul_base - -theorem -limbDecompose_mul_base - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.limbDecompose_mul_base - - -contains - - - -Semantics.RRC.PolyFactorIdentity.zeroLimbCount_le_length - -theorem -zeroLimbCount_le_length - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.zeroLimbCount_le_length - - -contains - - - -Semantics.RRC.PolyFactorIdentity.coeffSparsity_val - -theorem -coeffSparsity_val - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.coeffSparsity_val - - -contains - - - -Semantics.RRC.PolyFactorIdentity.shortSleeve_mono_zero_prepend - -theorem -shortSleeve_mono_zero_prepend - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.shortSleeve_mono_zero_prepend - - -contains - - - -Semantics.RRC.PolyFactorIdentity.limbDecompose - -def -limbDecompose - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.limbDecompose - - -contains - - - -Semantics.RRC.PolyFactorIdentity.zeroLimbCount - -def -zeroLimbCount - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.zeroLimbCount - - -contains - - - -Semantics.RRC.PolyFactorIdentity.coeffSparsity - -def -coeffSparsity - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.coeffSparsity - - -contains - - - -Semantics.RRC.PolyFactorIdentity.shortSleeveThreshold - -def -shortSleeveThreshold - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.shortSleeveThreshold - - -contains - - - -Semantics.RRC.PolyFactorIdentity.shortSleeveDetected - -def -shortSleeveDetected - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.shortSleeveDetected - - -contains - - - -Semantics.RRC.PolyFactorIdentity.listGcd - -def -listGcd - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.listGcd - - -contains - - - -Semantics.RRC.PolyFactorIdentity.maxCoeff - -def -maxCoeff - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.maxCoeff - - -contains - - - -Semantics.RRC.PolyFactorIdentity.coeffEnergy - -def -coeffEnergy - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.coeffEnergy - - -contains - - - -Semantics.RRC.PolyFactorIdentity.polyDegree - -def -polyDegree - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.polyDegree - - -contains - - - -Semantics.RRC.PolyFactorIdentity.polySignature - -def -polySignature - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.polySignature - - -contains - - - -Semantics.RRC.PolyFactorIdentity.sigma3PolySig - -def -sigma3PolySig - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.sigma3PolySig - - -contains - - - -Semantics.RRC.PolyFactorIdentity.sigma7PolySig - -def -sigma7PolySig - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.sigma7PolySig - - -contains - - - -Semantics.RRC.PolyFactorIdentity.convPolySig - -def -convPolySig - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.convPolySig - - -contains - - - -Semantics.RRC.PolyFactorIdentity.polyDecomposabilityScore - -def -polyDecomposabilityScore - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.polyDecomposabilityScore - - -contains - - - -Semantics.RRC.PolyFactorIdentity.zeroCopyScan - -def -zeroCopyScan - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.zeroCopyScan - - -contains - - - -Semantics.RRC.PolyFactorIdentity.polyEval - -def -polyEval - - - -Semantics.RRC.PolyFactorIdentity->Semantics.RRC.PolyFactorIdentity.polyEval - - -contains - - - -Semantics.RRC.ReceiptDensity - -module -ReceiptDensity - - - -Semantics.RRC.ReceiptDensity.statusScoreRaw - -def -statusScoreRaw - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.statusScoreRaw - - -contains - - - -Semantics.RRC.ReceiptDensity.statusScore - -def -statusScore - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.statusScore - - -contains - - - -Semantics.RRC.ReceiptDensity.axisHitCount - -def -axisHitCount - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.axisHitCount - - -contains - - - -Semantics.RRC.ReceiptDensity.axisScore - -def -axisScore - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.axisScore - - -contains - - - -Semantics.RRC.ReceiptDensity.shapeAgreement - -def -shapeAgreement - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.shapeAgreement - - -contains - - - -Semantics.RRC.ReceiptDensity.wRank - -def -wRank - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.wRank - - -contains - - - -Semantics.RRC.ReceiptDensity.wGap - -def -wGap - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.wGap - - -contains - - - -Semantics.RRC.ReceiptDensity.wEntropy - -def -wEntropy - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.wEntropy - - -contains - - - -Semantics.RRC.ReceiptDensity.wDensity - -def -wDensity - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.wDensity - - -contains - - - -Semantics.RRC.ReceiptDensity.wLap - -def -wLap - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.wLap - - -contains - - - -Semantics.RRC.ReceiptDensity.wHash - -def -wHash - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.wHash - - -contains - - - -Semantics.RRC.ReceiptDensity.lapScore - -def -lapScore - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.lapScore - - -contains - - - -Semantics.RRC.ReceiptDensity.hashScore - -def -hashScore - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.hashScore - - -contains - - - -Semantics.RRC.ReceiptDensity.spectralQuality - -def -spectralQuality - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.spectralQuality - - -contains - - - -Semantics.RRC.ReceiptDensity.weightedSum - -def -weightedSum - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.weightedSum - - -contains - - - -Semantics.RRC.ReceiptDensity.computeDensity - -def -computeDensity - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.computeDensity - - -contains - - - -Semantics.RRC.ReceiptDensity.claimBoundary - -def -claimBoundary - - - -Semantics.RRC.ReceiptDensity->Semantics.RRC.ReceiptDensity.claimBoundary - - -contains - - - -Semantics.RRCLogogramProjection.semantic_tear_projects_after_repair - -theorem -semantic_tear_projects_after_repair - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.semantic_tear_projects_after_repair - - -contains - - - -Semantics.RRCLogogramProjection.semantic_tear_does_not_merge - -theorem -semantic_tear_does_not_merge - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.semantic_tear_does_not_merge - - -contains - - - -Semantics.RRCLogogramProjection.semantic_tear_uses_quarantine_lane - -theorem -semantic_tear_uses_quarantine_lane - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.semantic_tear_uses_quarantine_lane - - -contains - - - -Semantics.RRCLogogramProjection.unrepaired_tear_does_not_project - -theorem -unrepaired_tear_does_not_project - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.unrepaired_tear_does_not_project - - -contains - - - -Semantics.RRCLogogramProjection.ordinary_logogram_projects_and_merges - -theorem -ordinary_logogram_projects_and_merges - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.ordinary_logogram_projects_and_merges - - -contains - - - -Semantics.RRCLogogramProjection.merge_implies_projection - -theorem -merge_implies_projection - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.merge_implies_projection - - -contains - - - -Semantics.RRCLogogramProjection.repaired_tear_separates_projection_from_merge - -theorem -repaired_tear_separates_projection_from_ - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.repaired_tear_separates_projection_from_merge - - -contains - - - -Semantics.RRCLogogramProjection.hasTearRepair - -def -hasTearRepair - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.hasTearRepair - - -contains - - - -Semantics.RRCLogogramProjection.typeAdmissible - -def -typeAdmissible - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.typeAdmissible - - -contains - - - -Semantics.RRCLogogramProjection.mergeAdmissible - -def -mergeAdmissible - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.mergeAdmissible - - -contains - - - -Semantics.RRCLogogramProjection.projectionAdmissible - -def -projectionAdmissible - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.projectionAdmissible - - -contains - - - -Semantics.RRCLogogramProjection.projectionLane - -def -projectionLane - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.projectionLane - - -contains - - - -Semantics.RRCLogogramProjection.semanticTearReceipt - -def -semanticTearReceipt - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.semanticTearReceipt - - -contains - - - -Semantics.RRCLogogramProjection.ordinaryLogogramReceipt - -def -ordinaryLogogramReceipt - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.ordinaryLogogramReceipt - - -contains - - - -Semantics.RRCLogogramProjection.unrepairedTearReceipt - -def -unrepairedTearReceipt - - - -Semantics.RRCLogogramProjection->Semantics.RRCLogogramProjection.unrepairedTearReceipt - - -contains - - - -Semantics.RaycastField - -module -RaycastField - - - -Semantics.RaycastField.sampleChannelField - -def -sampleChannelField - - - -Semantics.RaycastField->Semantics.RaycastField.sampleChannelField - - -contains - - - -Semantics.RaycastField.amplitudeMean - -def -amplitudeMean - - - -Semantics.RaycastField->Semantics.RaycastField.amplitudeMean - - -contains - - - -Semantics.RaycastField.inferLocalDerivativeFromMultiPath - -def -inferLocalDerivativeFromMultiPath - - - -Semantics.RaycastField->Semantics.RaycastField.inferLocalDerivativeFromMultiPath - - -contains - - - -Semantics.RcloneIntegration - -module -RcloneIntegration - - - -Semantics.RcloneIntegration.addTaskPreservesCount - -theorem -addTaskPreservesCount - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.addTaskPreservesCount - - -contains - - - -Semantics.RcloneIntegration.addTaskPreservesPendingLength - -theorem -addTaskPreservesPendingLength - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.addTaskPreservesPendingLength - - -contains - - - -Semantics.RcloneIntegration.startTask_pending_non_increasing - -theorem -startTask_pending_non_increasing - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.startTask_pending_non_increasing - - -contains - - - -Semantics.RcloneIntegration.completeTask_completed_length - -theorem -completeTask_completed_length - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.completeTask_completed_length - - -contains - - - -Semantics.RcloneIntegration.zero - -def -zero - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.zero - - -contains - - - -Semantics.RcloneIntegration.one - -def -one - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.one - - -contains - - - -Semantics.RcloneIntegration.ofNat - -def -ofNat - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.ofNat - - -contains - - - -Semantics.RcloneIntegration.toString - -def -toString - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.toString - - -contains - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.toString - - -contains - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.toString - - -contains - - - -Semantics.RcloneIntegration.empty - -def -empty - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.empty - - -contains - - - -Semantics.RcloneIntegration.addTask - -def -addTask - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.addTask - - -contains - - - -Semantics.RcloneIntegration.startTask - -def -startTask - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.startTask - - -contains - - - -Semantics.RcloneIntegration.completeTask - -def -completeTask - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.completeTask - - -contains - - - -Semantics.RcloneIntegration.createRcloneExpert - -def -createRcloneExpert - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.createRcloneExpert - - -contains - - - -Semantics.RcloneIntegration.topologicalStorageArea - -def -topologicalStorageArea - - - -Semantics.RcloneIntegration->Semantics.RcloneIntegration.topologicalStorageArea - - -contains - - - -Semantics.RealityContractMassNumber - -module -RealityContractMassNumber - - - -Semantics.RealityContractMassNumber.decision_is_finite - -theorem -decision_is_finite - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.decision_is_finite - - -contains - - - -Semantics.RealityContractMassNumber.residuals_typed_by_construction - -theorem -residuals_typed_by_construction - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.residuals_typed_by_construction - - -contains - - - -Semantics.RealityContractMassNumber.native_reductions_certified - -theorem -native_reductions_certified - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.native_reductions_certified - - -contains - - - -Semantics.RealityContractMassNumber.mass_denominator_nonzero - -theorem -mass_denominator_nonzero - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.mass_denominator_nonzero - - -contains - - - -Semantics.RealityContractMassNumber.distance_denominator_nonzero - -theorem -distance_denominator_nonzero - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.distance_denominator_nonzero - - -contains - - - -Semantics.RealityContractMassNumber.DomainReduction - -def -DomainReduction - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.DomainReduction - - -contains - - - -Semantics.RealityContractMassNumber.CertifiedReduction - -def -CertifiedReduction - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.CertifiedReduction - - -contains - - - -Semantics.RealityContractMassNumber.ResidualRisk - -def -ResidualRisk - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.ResidualRisk - - -contains - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.ResidualRisk - - -contains - - - -Semantics.RealityContractMassNumber.Score - -def -Score - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.Score - - -contains - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.Score - - -contains - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.Score - - -contains - - - -Semantics.RealityContractMassNumber.sumNat - -def -sumNat - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.sumNat - - -contains - - - -Semantics.RealityContractMassNumber.admissibleReduction - -def -admissibleReduction - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.admissibleReduction - - -contains - - - -Semantics.RealityContractMassNumber.massNumber - -def -massNumber - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.massNumber - - -contains - - - -Semantics.RealityContractMassNumber.massPhi - -def -massPhi - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.massPhi - - -contains - - - -Semantics.RealityContractMassNumber.phiDistanceCost - -def -phiDistanceCost - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.phiDistanceCost - - -contains - - - -Semantics.RealityContractMassNumber.autodocPressure - -def -autodocPressure - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.autodocPressure - - -contains - - - -Semantics.RealityContractMassNumber.CandidateRecord - -def -CandidateRecord - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.CandidateRecord - - -contains - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.CandidateRecord - - -contains - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.CandidateRecord - - -contains - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.CandidateRecord - - -contains - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.CandidateRecord - - -contains - - - -Semantics.RealityContractMassNumber.highResidual - -def -highResidual - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.highResidual - - -contains - - - -Semantics.RealityContractMassNumber.riskLowEnough - -def -riskLowEnough - - - -Semantics.RealityContractMassNumber->Semantics.RealityContractMassNumber.riskLowEnough - - -contains - - - -Semantics.ReceiptCore.emptyReceipts - -def -emptyReceipts - - - -Semantics.ReceiptCore->Semantics.ReceiptCore.emptyReceipts - - -contains - - - -Semantics.ReceiptCore.hasReceiptOfKind - -def -hasReceiptOfKind - - - -Semantics.ReceiptCore->Semantics.ReceiptCore.hasReceiptOfKind - - -contains - - - -Semantics.ReceiptCore.hasAllReceiptKinds - -def -hasAllReceiptKinds - - - -Semantics.ReceiptCore->Semantics.ReceiptCore.hasAllReceiptKinds - - -contains - - - -Semantics.ReceiptCore.canPromoteFromCandidate - -def -canPromoteFromCandidate - - - -Semantics.ReceiptCore->Semantics.ReceiptCore.canPromoteFromCandidate - - -contains - - - -Semantics.ReceiptCore.isBlocked - -def -isBlocked - - - -Semantics.ReceiptCore->Semantics.ReceiptCore.isBlocked - - -contains - - - -Semantics.ReceiptCore.leanBuildReceipt - -def -leanBuildReceipt - - - -Semantics.ReceiptCore->Semantics.ReceiptCore.leanBuildReceipt - - -contains - - - -Semantics.ReceiptCore.benchmarkReceipt - -def -benchmarkReceipt - - - -Semantics.ReceiptCore->Semantics.ReceiptCore.benchmarkReceipt - - -contains - - - -Semantics.ReceiptCore.adversarialTrialReceipt - -def -adversarialTrialReceipt - - - -Semantics.ReceiptCore->Semantics.ReceiptCore.adversarialTrialReceipt - - -contains - - - -Semantics.ReceiptCore.humanReviewReceipt - -def -humanReviewReceipt - - - -Semantics.ReceiptCore->Semantics.ReceiptCore.humanReviewReceipt - - -contains - - - -Semantics.ReceiptCore.hasProofReceipt - -def -hasProofReceipt - - - -Semantics.ReceiptCore->Semantics.ReceiptCore.hasProofReceipt - - -contains - - - -Semantics.ReceiptCore.ledgerLookup - -def -ledgerLookup - - - -Semantics.ReceiptCore->Semantics.ReceiptCore.ledgerLookup - - -contains - - - -Semantics.ReceiptCore.ledgerAppend - -def -ledgerAppend - - - -Semantics.ReceiptCore->Semantics.ReceiptCore.ledgerAppend - - -contains - - - -Semantics.ReceiptCore.ledgerHasProofReceipt - -def -ledgerHasProofReceipt - - - -Semantics.ReceiptCore->Semantics.ReceiptCore.ledgerHasProofReceipt - - -contains - - - -Semantics.ReceiptCore.LedgerPromotionInvariant - -def -LedgerPromotionInvariant - - - -Semantics.ReceiptCore->Semantics.ReceiptCore.LedgerPromotionInvariant - - -contains - - - -Semantics.RegimeCore - -module -RegimeCore - - - -Semantics.RegimeCore.classifyAssignment - -def -classifyAssignment - - - -Semantics.RegimeCore->Semantics.RegimeCore.classifyAssignment - - -contains - - - -Semantics.RelationMaskTrainer - -module -RelationMaskTrainer - - - -Semantics.RelationMaskTrainer.observe - -def -observe - - - -Semantics.RelationMaskTrainer->Semantics.RelationMaskTrainer.observe - - -contains - - - -Semantics.RelationMaskTrainer.recommendForSig - -def -recommendForSig - - - -Semantics.RelationMaskTrainer->Semantics.RelationMaskTrainer.recommendForSig - - -contains - - - -Semantics.ResearchAgent - -module -ResearchAgent - - - -Semantics.ResearchAgent.greedyActionValid - -theorem -greedyActionValid - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.greedyActionValid - - -contains - - - -Semantics.ResearchAgent.fieldValueBounded - -theorem -fieldValueBounded - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.fieldValueBounded - - -contains - - - -Semantics.ResearchAgent.actionProbabilitiesSumToOne - -theorem -actionProbabilitiesSumToOne - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.actionProbabilitiesSumToOne - - -contains - - - -Semantics.ResearchAgent.iterationIncreases - -theorem -iterationIncreases - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.iterationIncreases - - -contains - - - -Semantics.ResearchAgent.description - -def -description - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.description - - -contains - - - -Semantics.ResearchAgent.literaturePhaseDefault - -def -literaturePhaseDefault - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.literaturePhaseDefault - - -contains - - - -Semantics.ResearchAgent.hypothesisPhaseDefault - -def -hypothesisPhaseDefault - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.hypothesisPhaseDefault - - -contains - - - -Semantics.ResearchAgent.formalizationPhaseDefault - -def -formalizationPhaseDefault - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.formalizationPhaseDefault - - -contains - - - -Semantics.ResearchAgent.fieldValue - -def -fieldValue - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.fieldValue - - -contains - - - -Semantics.ResearchAgent.actionProbability - -def -actionProbability - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.actionProbability - - -contains - - - -Semantics.ResearchAgent.greedyAction - -def -greedyAction - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.greedyAction - - -contains - - - -Semantics.ResearchAgent.epsilonGreedyAction - -def -epsilonGreedyAction - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.epsilonGreedyAction - - -contains - - - -Semantics.ResearchAgent.executeAction - -def -executeAction - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.executeAction - - -contains - - - -Semantics.ResearchAgent.stateTransition - -def -stateTransition - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.stateTransition - - -contains - - - -Semantics.ResearchAgent.search - -def -search - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.search - - -contains - - - -Semantics.ResearchAgent.extract - -def -extract - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.extract - - -contains - - - -Semantics.ResearchAgent.formalize - -def -formalize - - - -Semantics.ResearchAgent->Semantics.ResearchAgent.formalize - - -contains - - - -Semantics.ResonanceGradient - -module -ResonanceGradient - - - -Semantics.ResonanceGradient.quaternionStochasticEvolutionPreservesUnitWitness - -theorem -quaternionStochasticEvolutionPreservesUn - - - -Semantics.ResonanceGradient->Semantics.ResonanceGradient.quaternionStochasticEvolutionPreservesUnitWitness - - -contains - - - -Semantics.ResonanceGradient.resonanceDifferential - -def -resonanceDifferential - - - -Semantics.ResonanceGradient->Semantics.ResonanceGradient.resonanceDifferential - - -contains - - - -Semantics.ResonanceGradient.stochasticDifferential - -def -stochasticDifferential - - - -Semantics.ResonanceGradient->Semantics.ResonanceGradient.stochasticDifferential - - -contains - - - -Semantics.ResonanceGradient.itoCorrection - -def -itoCorrection - - - -Semantics.ResonanceGradient->Semantics.ResonanceGradient.itoCorrection - - -contains - - - -Semantics.ResonanceGradient.quaternionStochasticEvolution - -def -quaternionStochasticEvolution - - - -Semantics.ResonanceGradient->Semantics.ResonanceGradient.quaternionStochasticEvolution - - -contains - - - -Semantics.ResonanceGradient.spherionResonanceGradient - -def -spherionResonanceGradient - - - -Semantics.ResonanceGradient->Semantics.ResonanceGradient.spherionResonanceGradient - - -contains - - - -Semantics.ResonanceGradient.sluqQuaternionTriage - -def -sluqQuaternionTriage - - - -Semantics.ResonanceGradient->Semantics.ResonanceGradient.sluqQuaternionTriage - - -contains - - - -Semantics.ResourceLayers - -module -ResourceLayers - - - -Semantics.ResourceLayers.zero - -def -zero - - - -Semantics.ResourceLayers->Semantics.ResourceLayers.zero - - -contains - - - -Semantics.ResourceLayers.one - -def -one - - - -Semantics.ResourceLayers->Semantics.ResourceLayers.one - - -contains - - - -Semantics.ResourceLayers.ofNat - -def -ofNat - - - -Semantics.ResourceLayers->Semantics.ResourceLayers.ofNat - - -contains - - - -Semantics.ResourceLayers.toNat - -def -toNat - - - -Semantics.ResourceLayers->Semantics.ResourceLayers.toNat - - -contains - - - -Semantics.ResourceLayers.ofFrac - -def -ofFrac - - - -Semantics.ResourceLayers->Semantics.ResourceLayers.ofFrac - - -contains - - - -Semantics.ResourceLayers.calculatePhysicalLayer - -def -calculatePhysicalLayer - - - -Semantics.ResourceLayers->Semantics.ResourceLayers.calculatePhysicalLayer - - -contains - - - -Semantics.ResourceLayers.calculateTopologicalLayer - -def -calculateTopologicalLayer - - - -Semantics.ResourceLayers->Semantics.ResourceLayers.calculateTopologicalLayer - - -contains - - - -Semantics.ResourceLayers.calculateCombinedTotals - -def -calculateCombinedTotals - - - -Semantics.ResourceLayers->Semantics.ResourceLayers.calculateCombinedTotals - - -contains - - - -Semantics.RiemannianResonanceCorrelator - -module -RiemannianResonanceCorrelator - - - -Semantics.RiemannianResonanceCorrelator.flat - -def -flat - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.flat - - -contains - - - -Semantics.RiemannianResonanceCorrelator.computeVolume - -def -computeVolume - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.computeVolume - - -contains - - - -Semantics.RiemannianResonanceCorrelator.fromMetric - -def -fromMetric - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.fromMetric - - -contains - - - -Semantics.RiemannianResonanceCorrelator.applyLap - -def -applyLap - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.applyLap - - -contains - - - -Semantics.RiemannianResonanceCorrelator.extractResonances - -def -extractResonances - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.extractResonances - - -contains - - - -Semantics.RiemannianResonanceCorrelator.learnKernel - -def -learnKernel - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.learnKernel - - -contains - - - -Semantics.RiemannianResonanceCorrelator.applyKernel - -def -applyKernel - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.applyKernel - - -contains - - - -Semantics.RiemannianResonanceCorrelator.discoverPDE - -def -discoverPDE - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.discoverPDE - - -contains - - - -Semantics.RiemannianResonanceCorrelator.penguinToEvents - -def -penguinToEvents - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.penguinToEvents - - -contains - - - -Semantics.RiemannianResonanceCorrelator.penguinPDE - -def -penguinPDE - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.penguinPDE - - -contains - - - -Semantics.RiemannianResonanceCorrelator.kernelRGFlow - -def -kernelRGFlow - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.kernelRGFlow - - -contains - - - -Semantics.RiemannianResonanceCorrelator.testLap - -def -testLap - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.testLap - - -contains - - - -Semantics.RiemannianResonanceCorrelator.testKernel - -def -testKernel - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.testKernel - - -contains - - - -Semantics.RiemannianResonanceCorrelator.testPoint - -def -testPoint - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.testPoint - - -contains - - - -Semantics.RiemannianResonanceCorrelator.testPsi - -def -testPsi - - - -Semantics.RiemannianResonanceCorrelator->Semantics.RiemannianResonanceCorrelator.testPsi - - -contains - - - -Semantics.RotationQUBO - -module -RotationQUBO - - - -Semantics.RotationQUBO.balanced - -def -balanced - - - -Semantics.RotationQUBO->Semantics.RotationQUBO.balanced - - -contains - - - -Semantics.RotationQUBO.fromPISTCoord - -def -fromPISTCoord - - - -Semantics.RotationQUBO->Semantics.RotationQUBO.fromPISTCoord - - -contains - - - -Semantics.RotationQUBO->Semantics.RotationQUBO.fromPISTCoord - - -contains - - - -Semantics.RotationQUBO.pistMass - -def -pistMass - - - -Semantics.RotationQUBO->Semantics.RotationQUBO.pistMass - - -contains - - - -Semantics.RotationQUBO.fromAngle - -def -fromAngle - - - -Semantics.RotationQUBO->Semantics.RotationQUBO.fromAngle - - -contains - - - -Semantics.RotationQUBO.rotateVertex - -def -rotateVertex - - - -Semantics.RotationQUBO->Semantics.RotationQUBO.rotateVertex - - -contains - - - -Semantics.RotationQUBO.rotateTriangle - -def -rotateTriangle - - - -Semantics.RotationQUBO->Semantics.RotationQUBO.rotateTriangle - - -contains - - - -Semantics.RotationQUBO.fieldEnergy - -def -fieldEnergy - - - -Semantics.RotationQUBO->Semantics.RotationQUBO.fieldEnergy - - -contains - - - -Semantics.RotationQUBO.isFrustrated - -def -isFrustrated - - - -Semantics.RotationQUBO->Semantics.RotationQUBO.isFrustrated - - -contains - - - -Semantics.RotationQUBO.contains - -def -contains - - - -Semantics.RotationQUBO->Semantics.RotationQUBO.contains - - -contains - - - -Semantics.RotationQUBO.spawn - -def -spawn - - - -Semantics.RotationQUBO->Semantics.RotationQUBO.spawn - - -contains - - - -Semantics.RotationQUBO.spawnSuperposition - -def -spawnSuperposition - - - -Semantics.RotationQUBO->Semantics.RotationQUBO.spawnSuperposition - - -contains - - - -Semantics.RotationQUBO.rotationField - -def -rotationField - - - -Semantics.RotationQUBO->Semantics.RotationQUBO.rotationField - - -contains - - - -Semantics.RouteCost.routeCostTotal - -theorem -routeCostTotal - - - -Semantics.RouteCost->Semantics.RouteCost.routeCostTotal - - -contains - - - -Semantics.RouteCost.routeCostSelfZero - -theorem -routeCostSelfZero - - - -Semantics.RouteCost->Semantics.RouteCost.routeCostSelfZero - - -contains - - - -Semantics.RouteCost.qZero - -def -qZero - - - -Semantics.RouteCost->Semantics.RouteCost.qZero - - -contains - - - -Semantics.RouteCost.qEighth - -def -qEighth - - - -Semantics.RouteCost->Semantics.RouteCost.qEighth - - -contains - - - -Semantics.RouteCost.qQuarter - -def -qQuarter - - - -Semantics.RouteCost->Semantics.RouteCost.qQuarter - - -contains - - - -Semantics.RouteCost.qHalf - -def -qHalf - - - -Semantics.RouteCost->Semantics.RouteCost.qHalf - - -contains - - - -Semantics.RouteCost.qOne - -def -qOne - - - -Semantics.RouteCost->Semantics.RouteCost.qOne - - -contains - - - -Semantics.RouteCost.FoundationKernel - -def -FoundationKernel - - - -Semantics.RouteCost->Semantics.RouteCost.FoundationKernel - - -contains - - - -Semantics.RouteCost->Semantics.RouteCost.FoundationKernel - - -contains - - - -Semantics.RouteCost.TopologyLayer - -def -TopologyLayer - - - -Semantics.RouteCost->Semantics.RouteCost.TopologyLayer - - -contains - - - -Semantics.RouteCost.SubstrateStage - -def -SubstrateStage - - - -Semantics.RouteCost->Semantics.RouteCost.SubstrateStage - - -contains - - - -Semantics.RouteCost.proofBurdenCost - -def -proofBurdenCost - - - -Semantics.RouteCost->Semantics.RouteCost.proofBurdenCost - - -contains - - - -Semantics.RouteCost.failureRiskCost - -def -failureRiskCost - - - -Semantics.RouteCost->Semantics.RouteCost.failureRiskCost - - -contains - - - -Semantics.RouteCost.natAbsDiff - -def -natAbsDiff - - - -Semantics.RouteCost->Semantics.RouteCost.natAbsDiff - - -contains - - - -Semantics.RouteCost.optEq - -def -optEq - - - -Semantics.RouteCost->Semantics.RouteCost.optEq - - -contains - - - -Semantics.RouteCost.knownBridge - -def -knownBridge - - - -Semantics.RouteCost->Semantics.RouteCost.knownBridge - - -contains - - - -Semantics.RouteCost.resolvedStreet - -def -resolvedStreet - - - -Semantics.RouteCost->Semantics.RouteCost.resolvedStreet - - -contains - - - -Semantics.RouteCost.kernelDistance - -def -kernelDistance - - - -Semantics.RouteCost->Semantics.RouteCost.kernelDistance - - -contains - - - -Semantics.RouteCost.streetTransitionCost - -def -streetTransitionCost - - - -Semantics.RouteCost->Semantics.RouteCost.streetTransitionCost - - -contains - - - -Semantics.RouteCost.gwlTopologyDistance - -def -gwlTopologyDistance - - - -Semantics.RouteCost->Semantics.RouteCost.gwlTopologyDistance - - -contains - - - -Semantics.RouteCost.substrateExecutionCost - -def -substrateExecutionCost - - - -Semantics.RouteCost->Semantics.RouteCost.substrateExecutionCost - - -contains - - - -Semantics.RouteCost.proofObligationCost - -def -proofObligationCost - - - -Semantics.RouteCost->Semantics.RouteCost.proofObligationCost - - -contains - - - -Semantics.RustOISCDecompressor - -module -RustOISCDecompressor - - - -Semantics.RustOISCDecompressor.haltedStepStable - -theorem -haltedStepStable - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.haltedStepStable - - -contains - - - -Semantics.RustOISCDecompressor.firstStepEmitsOne - -theorem -firstStepEmitsOne - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.firstStepEmitsOne - - -contains - - - -Semantics.RustOISCDecompressor.abcFixtureByteExact - -theorem -abcFixtureByteExact - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.abcFixtureByteExact - - -contains - - - -Semantics.RustOISCDecompressor.abcFixtureHalts - -theorem -abcFixtureHalts - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.abcFixtureHalts - - -contains - - - -Semantics.RustOISCDecompressor.residualAccumulatorWrapsClosed - -theorem -residualAccumulatorWrapsClosed - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.residualAccumulatorWrapsClosed - - -contains - - - -Semantics.RustOISCDecompressor.postFinalRunStableClosed - -theorem -postFinalRunStableClosed - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.postFinalRunStableClosed - - -contains - - - -Semantics.RustOISCDecompressor.overflowFailsClosed - -theorem -overflowFailsClosed - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.overflowFailsClosed - - -contains - - - -Semantics.RustOISCDecompressor.abcWireFixtureCloses - -theorem -abcWireFixtureCloses - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.abcWireFixtureCloses - - -contains - - - -Semantics.RustOISCDecompressor.emptyWireCloses - -theorem -emptyWireCloses - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.emptyWireCloses - - -contains - - - -Semantics.RustOISCDecompressor.overflowWireFailsClosed - -theorem -overflowWireFailsClosed - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.overflowWireFailsClosed - - -contains - - - -Semantics.RustOISCDecompressor.invalidMagicFailsClosed - -theorem -invalidMagicFailsClosed - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.invalidMagicFailsClosed - - -contains - - - -Semantics.RustOISCDecompressor.invalidVersionFailsClosed - -theorem -invalidVersionFailsClosed - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.invalidVersionFailsClosed - - -contains - - - -Semantics.RustOISCDecompressor.truncatedInstructionFailsClosed - -theorem -truncatedInstructionFailsClosed - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.truncatedInstructionFailsClosed - - -contains - - - -Semantics.RustOISCDecompressor.trailingAfterFinalFailsClosed - -theorem -trailingAfterFinalFailsClosed - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.trailingAfterFinalFailsClosed - - -contains - - - -Semantics.RustOISCDecompressor.byte - -def -byte - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.byte - - -contains - - - -Semantics.RustOISCDecompressor.mixByte - -def -mixByte - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.mixByte - - -contains - - - -Semantics.RustOISCDecompressor.initState - -def -initState - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.initState - - -contains - - - -Semantics.RustOISCDecompressor.nan0State - -def -nan0State - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.nan0State - - -contains - - - -Semantics.RustOISCDecompressor.step - -def -step - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.step - - -contains - - - -Semantics.RustOISCDecompressor.runInstructions - -def -runInstructions - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.runInstructions - - -contains - - - -Semantics.RustOISCDecompressor.run - -def -run - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.run - - -contains - - - -Semantics.RustOISCDecompressor.emittedBytes - -def -emittedBytes - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.emittedBytes - - -contains - - - -Semantics.RustOISCDecompressor.parseInstructions - -def -parseInstructions - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.parseInstructions - - -contains - - - -Semantics.RustOISCDecompressor.magic - -def -magic - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.magic - - -contains - - - -Semantics.RustOISCDecompressor.version - -def -version - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.version - - -contains - - - -Semantics.RustOISCDecompressor.header - -def -header - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.header - - -contains - - - -Semantics.RustOISCDecompressor.invalidReceipt - -def -invalidReceipt - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.invalidReceipt - - -contains - - - -Semantics.RustOISCDecompressor.hasInternalFinal - -def -hasInternalFinal - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.hasInternalFinal - - -contains - - - -Semantics.RustOISCDecompressor.decodeWire - -def -decodeWire - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.decodeWire - - -contains - - - -Semantics.RustOISCDecompressor.instrA - -def -instrA - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.instrA - - -contains - - - -Semantics.RustOISCDecompressor.instrB - -def -instrB - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.instrB - - -contains - - - -Semantics.RustOISCDecompressor.instrC - -def -instrC - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.instrC - - -contains - - - -Semantics.RustOISCDecompressor.instrHighResidual - -def -instrHighResidual - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.instrHighResidual - - -contains - - - -Semantics.RustOISCDecompressor.instrWrapFinal - -def -instrWrapFinal - - - -Semantics.RustOISCDecompressor->Semantics.RustOISCDecompressor.instrWrapFinal - - -contains - - - -Semantics.S3C - -module -S3C - - - -Semantics.S3C.shellDecompositionCorrect - -theorem -shellDecompositionCorrect - - - -Semantics.S3C->Semantics.S3C.shellDecompositionCorrect - - -contains - - - -Semantics.S3C.bPlusEqualsBZeroPlusOne - -theorem -bPlusEqualsBZeroPlusOne - - - -Semantics.S3C->Semantics.S3C.bPlusEqualsBZeroPlusOne - - -contains - - - -Semantics.S3C.massZeroIsIntersectionForm - -theorem -massZeroIsIntersectionForm - - - -Semantics.S3C->Semantics.S3C.massZeroIsIntersectionForm - - -contains - - - -Semantics.S3C.massPlusIsIntersectionForm - -theorem -massPlusIsIntersectionForm - - - -Semantics.S3C->Semantics.S3C.massPlusIsIntersectionForm - - -contains - - - -Semantics.S3C.closedWidthTheorem - -theorem -closedWidthTheorem - - - -Semantics.S3C->Semantics.S3C.closedWidthTheorem - - -contains - - - -Semantics.S3C.throatAtShellMidpoint - -theorem -throatAtShellMidpoint - - - -Semantics.S3C->Semantics.S3C.throatAtShellMidpoint - - -contains - - - -Semantics.S3C.emitGateSimplified - -theorem -emitGateSimplified - - - -Semantics.S3C->Semantics.S3C.emitGateSimplified - - -contains - - - -Semantics.S3C.shellDecompositionCorrect_domain - -theorem -shellDecompositionCorrect_domain - - - -Semantics.S3C->Semantics.S3C.shellDecompositionCorrect_domain - - -contains - - - -Semantics.S3C.bPlusEqualsBZeroPlusOne_domain - -theorem -bPlusEqualsBZeroPlusOne_domain - - - -Semantics.S3C->Semantics.S3C.bPlusEqualsBZeroPlusOne_domain - - -contains - - - -Semantics.S3C.throatAtShellMidpoint_domain - -theorem -throatAtShellMidpoint_domain - - - -Semantics.S3C->Semantics.S3C.throatAtShellMidpoint_domain - - -contains - - - -Semantics.S3C.emitGateSimplified_domain - -theorem -emitGateSimplified_domain - - - -Semantics.S3C->Semantics.S3C.emitGateSimplified_domain - - -contains - - - -Semantics.S3C.shellDecomposition - -def -shellDecomposition - - - -Semantics.S3C->Semantics.S3C.shellDecomposition - - -contains - - - -Semantics.S3C.audioToManifold - -def -audioToManifold - - - -Semantics.S3C->Semantics.S3C.audioToManifold - - -contains - - - -Semantics.S3C.echoWeights - -def -echoWeights - - - -Semantics.S3C->Semantics.S3C.echoWeights - - -contains - - - -Semantics.S3C.detectContact - -def -detectContact - - - -Semantics.S3C->Semantics.S3C.detectContact - - -contains - - - -Semantics.S3C.mirrorTerm - -def -mirrorTerm - - - -Semantics.S3C->Semantics.S3C.mirrorTerm - - -contains - - - -Semantics.S3C.computeJScore - -def -computeJScore - - - -Semantics.S3C->Semantics.S3C.computeJScore - - -contains - - - -Semantics.S3C.emissionGate - -def -emissionGate - - - -Semantics.S3C->Semantics.S3C.emissionGate - - -contains - - - -Semantics.S3C.processAudioSample - -def -processAudioSample - - - -Semantics.S3C->Semantics.S3C.processAudioSample - - -contains - - - -Semantics.S3C.isThroat - -def -isThroat - - - -Semantics.S3C->Semantics.S3C.isThroat - - -contains - - - -Semantics.S3CGeometry - -module -S3CGeometry - - - -Semantics.S3CGeometry.decompositionProperty - -theorem -decompositionProperty - - - -Semantics.S3CGeometry->Semantics.S3CGeometry.decompositionProperty - - -contains - - - -Semantics.S3CGeometry.complementProperty - -theorem -complementProperty - - - -Semantics.S3CGeometry->Semantics.S3CGeometry.complementProperty - - -contains - - - -Semantics.S3CGeometry.parityConsistency - -theorem -parityConsistency - - - -Semantics.S3CGeometry->Semantics.S3CGeometry.parityConsistency - - -contains - - - -Semantics.S3CGeometry.shellIndexProperty - -theorem -shellIndexProperty - - - -Semantics.S3CGeometry->Semantics.S3CGeometry.shellIndexProperty - - -contains - - - -Semantics.S3CGeometry.offsetProperty - -theorem -offsetProperty - - - -Semantics.S3CGeometry->Semantics.S3CGeometry.offsetProperty - - -contains - - - -Semantics.S3CGeometry.massProperty - -theorem -massProperty - - - -Semantics.S3CGeometry->Semantics.S3CGeometry.massProperty - - -contains - - - -Semantics.S3CGeometry.natParity - -def -natParity - - - -Semantics.S3CGeometry->Semantics.S3CGeometry.natParity - - -contains - - - -Semantics.S3CGeometry.unitSegmentConstruction - -def -unitSegmentConstruction - - - -Semantics.S3CGeometry->Semantics.S3CGeometry.unitSegmentConstruction - - -contains - - - -Semantics.S3CResonance - -module -S3CResonance - - - -Semantics.S3CResonance.jPeak_correct - -theorem -jPeak_correct - - - -Semantics.S3CResonance->Semantics.S3CResonance.jPeak_correct - - -contains - - - -Semantics.S3CResonance.jPeak_exceeds_god_tier - -theorem -jPeak_exceeds_god_tier - - - -Semantics.S3CResonance->Semantics.S3CResonance.jPeak_exceeds_god_tier - - -contains - - - -Semantics.S3CResonance.peakAttainsGodTier - -theorem -peakAttainsGodTier - - - -Semantics.S3CResonance->Semantics.S3CResonance.peakAttainsGodTier - - -contains - - - -Semantics.S3CResonance.peakPhaseHigh - -theorem -peakPhaseHigh - - - -Semantics.S3CResonance->Semantics.S3CResonance.peakPhaseHigh - - -contains - - - -Semantics.S3CResonance.jCoeffNegHalf - -def -jCoeffNegHalf - - - -Semantics.S3CResonance->Semantics.S3CResonance.jCoeffNegHalf - - -contains - - - -Semantics.S3CResonance.jBias - -def -jBias - - - -Semantics.S3CResonance->Semantics.S3CResonance.jBias - - -contains - - - -Semantics.S3CResonance.jCenter - -def -jCenter - - - -Semantics.S3CResonance->Semantics.S3CResonance.jCenter - - -contains - - - -Semantics.S3CResonance.jGodTierThreshold - -def -jGodTierThreshold - - - -Semantics.S3CResonance->Semantics.S3CResonance.jGodTierThreshold - - -contains - - - -Semantics.S3CResonance.computeJScore - -def -computeJScore - - - -Semantics.S3CResonance->Semantics.S3CResonance.computeJScore - - -contains - - - -Semantics.S3CResonance.isGodTier - -def -isGodTier - - - -Semantics.S3CResonance->Semantics.S3CResonance.isGodTier - - -contains - - - -Semantics.S3CResonance.macPhaseThreshold - -def -macPhaseThreshold - - - -Semantics.S3CResonance->Semantics.S3CResonance.macPhaseThreshold - - -contains - - - -Semantics.S3CResonance.macPhaseHigh - -def -macPhaseHigh - - - -Semantics.S3CResonance->Semantics.S3CResonance.macPhaseHigh - - -contains - - - -Semantics.S3CResonance.kPeak - -def -kPeak - - - -Semantics.S3CResonance->Semantics.S3CResonance.kPeak - - -contains - - - -Semantics.S3CResonance.jPeak - -def -jPeak - - - -Semantics.S3CResonance->Semantics.S3CResonance.jPeak - - -contains - - - -Semantics.S3CResonance.peakState - -def -peakState - - - -Semantics.S3CResonance->Semantics.S3CResonance.peakState - - -contains - - - -Semantics.S3CResonance.jScoreToFloat - -def -jScoreToFloat - - - -Semantics.S3CResonance->Semantics.S3CResonance.jScoreToFloat - - -contains - - - -Semantics.S3CResonance.kToFloat - -def -kToFloat - - - -Semantics.S3CResonance->Semantics.S3CResonance.kToFloat - - -contains - - - -Semantics.SDPVerify - -module -SDPVerify - - - -Semantics.SDPVerify.foldl_add - -theorem -foldl_add - - - -Semantics.SDPVerify->Semantics.SDPVerify.foldl_add - - -contains - - - -Semantics.SDPVerify.evalSparsePoly_foldl_add - -theorem -evalSparsePoly_foldl_add - - - -Semantics.SDPVerify->Semantics.SDPVerify.evalSparsePoly_foldl_add - - -contains - - - -Semantics.SDPVerify.eval_cons - -theorem -eval_cons - - - -Semantics.SDPVerify->Semantics.SDPVerify.eval_cons - - -contains - - - -Semantics.SDPVerify.evalSparsePoly_append - -theorem -evalSparsePoly_append - - - -Semantics.SDPVerify->Semantics.SDPVerify.evalSparsePoly_append - - -contains - - - -Semantics.SDPVerify.evalTerm_exponentAdd - -theorem -evalTerm_exponentAdd - - - -Semantics.SDPVerify->Semantics.SDPVerify.evalTerm_exponentAdd - - -contains - - - -Semantics.SDPVerify.eval_mulTermPoly - -theorem -eval_mulTermPoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.eval_mulTermPoly - - -contains - - - -Semantics.SDPVerify.eval_mul - -theorem -eval_mul - - - -Semantics.SDPVerify->Semantics.SDPVerify.eval_mul - - -contains - - - -Semantics.SDPVerify.eval_sqPoly - -theorem -eval_sqPoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.eval_sqPoly - - -contains - - - -Semantics.SDPVerify.sumSqPoly_foldl_add - -theorem -sumSqPoly_foldl_add - - - -Semantics.SDPVerify->Semantics.SDPVerify.sumSqPoly_foldl_add - - -contains - - - -Semantics.SDPVerify.eval_sumSqPoly - -theorem -eval_sumSqPoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.eval_sumSqPoly - - -contains - - - -Semantics.SDPVerify.weightedSumPoly_foldl_add - -theorem -weightedSumPoly_foldl_add - - - -Semantics.SDPVerify->Semantics.SDPVerify.weightedSumPoly_foldl_add - - -contains - - - -Semantics.SDPVerify.eval_weightedSumPoly - -theorem -eval_weightedSumPoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.eval_weightedSumPoly - - -contains - - - -Semantics.SDPVerify.sqPoly_eval_nonneg - -theorem -sqPoly_eval_nonneg - - - -Semantics.SDPVerify->Semantics.SDPVerify.sqPoly_eval_nonneg - - -contains - - - -Semantics.SDPVerify.evalTerm_add_same_exponent - -theorem -evalTerm_add_same_exponent - - - -Semantics.SDPVerify->Semantics.SDPVerify.evalTerm_add_same_exponent - - -contains - - - -Semantics.SDPVerify.eval_insertTerm - -theorem -eval_insertTerm - - - -Semantics.SDPVerify->Semantics.SDPVerify.eval_insertTerm - - -contains - - - -Semantics.SDPVerify.eval_filter_nonzero_eq_eval - -theorem -eval_filter_nonzero_eq_eval - - - -Semantics.SDPVerify->Semantics.SDPVerify.eval_filter_nonzero_eq_eval - - -contains - - - -Semantics.SDPVerify.foldl_insertTerm_eval - -theorem -foldl_insertTerm_eval - - - -Semantics.SDPVerify->Semantics.SDPVerify.foldl_insertTerm_eval - - -contains - - - -Semantics.SDPVerify.eval_normalizePoly_eq_eval - -theorem -eval_normalizePoly_eq_eval - - - -Semantics.SDPVerify->Semantics.SDPVerify.eval_normalizePoly_eq_eval - - -contains - - - -Semantics.SDPVerify.and_eq_true_iff - -theorem -and_eq_true_iff - - - -Semantics.SDPVerify->Semantics.SDPVerify.and_eq_true_iff - - -contains - - - -Semantics.SDPVerify.polyEqNormalized_eq - -theorem -polyEqNormalized_eq - - - -Semantics.SDPVerify->Semantics.SDPVerify.polyEqNormalized_eq - - -contains - - - -Semantics.SDPVerify.polyEqNormalized_eval_eq - -theorem -polyEqNormalized_eval_eq - - - -Semantics.SDPVerify->Semantics.SDPVerify.polyEqNormalized_eval_eq - - -contains - - - -Semantics.SDPVerify.polyEq_eval_eq - -theorem -polyEq_eval_eq - - - -Semantics.SDPVerify->Semantics.SDPVerify.polyEq_eval_eq - - -contains - - - -Semantics.SDPVerify.verifyCertificate_sound - -theorem -verifyCertificate_sound - - - -Semantics.SDPVerify->Semantics.SDPVerify.verifyCertificate_sound - - -contains - - - -Semantics.SDPVerify.exponentAdd - -def -exponentAdd - - - -Semantics.SDPVerify->Semantics.SDPVerify.exponentAdd - - -contains - - - -Semantics.SDPVerify.exponentZero - -def -exponentZero - - - -Semantics.SDPVerify->Semantics.SDPVerify.exponentZero - - -contains - - - -Semantics.SDPVerify.exponentLt - -def -exponentLt - - - -Semantics.SDPVerify->Semantics.SDPVerify.exponentLt - - -contains - - - -Semantics.SDPVerify.exponentEq - -def -exponentEq - - - -Semantics.SDPVerify->Semantics.SDPVerify.exponentEq - - -contains - - - -Semantics.SDPVerify.zeroPoly - -def -zeroPoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.zeroPoly - - -contains - - - -Semantics.SDPVerify.constPoly - -def -constPoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.constPoly - - -contains - - - -Semantics.SDPVerify.monomialPoly - -def -monomialPoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.monomialPoly - - -contains - - - -Semantics.SDPVerify.addPoly - -def -addPoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.addPoly - - -contains - - - -Semantics.SDPVerify.scalePoly - -def -scalePoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.scalePoly - - -contains - - - -Semantics.SDPVerify.negPoly - -def -negPoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.negPoly - - -contains - - - -Semantics.SDPVerify.mulTermPoly - -def -mulTermPoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.mulTermPoly - - -contains - - - -Semantics.SDPVerify.mulPoly - -def -mulPoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.mulPoly - - -contains - - - -Semantics.SDPVerify.sqPoly - -def -sqPoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.sqPoly - - -contains - - - -Semantics.SDPVerify.sumSqPoly - -def -sumSqPoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.sumSqPoly - - -contains - - - -Semantics.SDPVerify.weightedSumPoly - -def -weightedSumPoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.weightedSumPoly - - -contains - - - -Semantics.SDPVerify.insertTerm - -def -insertTerm - - - -Semantics.SDPVerify->Semantics.SDPVerify.insertTerm - - -contains - - - -Semantics.SDPVerify.normalizePoly - -def -normalizePoly - - - -Semantics.SDPVerify->Semantics.SDPVerify.normalizePoly - - -contains - - - -Semantics.SDPVerify.polyEqNormalized - -def -polyEqNormalized - - - -Semantics.SDPVerify->Semantics.SDPVerify.polyEqNormalized - - -contains - - - -Semantics.SDPVerify.polyEq - -def -polyEq - - - -Semantics.SDPVerify->Semantics.SDPVerify.polyEq - - -contains - - - -Semantics.SDPVerify.polyIsZero - -def -polyIsZero - - - -Semantics.SDPVerify->Semantics.SDPVerify.polyIsZero - - -contains - - - -Semantics.SDTA - -module -SDTA - - - -Semantics.SDTA.degeneracyProjection_idempotent - -theorem -degeneracyProjection_idempotent - - - -Semantics.SDTA->Semantics.SDTA.degeneracyProjection_idempotent - - -contains - - - -Semantics.SDTA.degeneracyProjection_preserves_chart - -theorem -degeneracyProjection_preserves_chart - - - -Semantics.SDTA->Semantics.SDTA.degeneracyProjection_preserves_chart - - -contains - - - -Semantics.SDTA.treeTransport_natural - -theorem -treeTransport_natural - - - -Semantics.SDTA->Semantics.SDTA.treeTransport_natural - - -contains - - - -Semantics.SDTA.adapter_degeneracy_preserved - -theorem -adapter_degeneracy_preserved - - - -Semantics.SDTA->Semantics.SDTA.adapter_degeneracy_preserved - - -contains - - - -Semantics.SDTA.adapter_composition - -theorem -adapter_composition - - - -Semantics.SDTA->Semantics.SDTA.adapter_composition - - -contains - - - -Semantics.SDTA.semanticMass_symmetric - -theorem -semanticMass_symmetric - - - -Semantics.SDTA->Semantics.SDTA.semanticMass_symmetric - - -contains - - - -Semantics.SDTA.semanticMass_nonneg - -theorem -semanticMass_nonneg - - - -Semantics.SDTA->Semantics.SDTA.semanticMass_nonneg - - -contains - - - -Semantics.SDTA.treeComposition_preserves_chart - -theorem -treeComposition_preserves_chart - - - -Semantics.SDTA->Semantics.SDTA.treeComposition_preserves_chart - - -contains - - - -Semantics.SDTA.portabilityCoefficient_bounded - -theorem -portabilityCoefficient_bounded - - - -Semantics.SDTA->Semantics.SDTA.portabilityCoefficient_bounded - - -contains - - - -Semantics.SDTA.portability_high_semantic_mass_low - -theorem -portability_high_semantic_mass_low - - - -Semantics.SDTA->Semantics.SDTA.portability_high_semantic_mass_low - - -contains - - - -Semantics.SDTA.StateVec - -def -StateVec - - - -Semantics.SDTA->Semantics.SDTA.StateVec - - -contains - - - -Semantics.SDTA->Semantics.SDTA.StateVec - - -contains - - - -Semantics.SDTA->Semantics.SDTA.StateVec - - -contains - - - -Semantics.SDTA.DegenerateChart - -def -DegenerateChart - - - -Semantics.SDTA->Semantics.SDTA.DegenerateChart - - -contains - - - -Semantics.SDTA.degeneracyProjection - -def -degeneracyProjection - - - -Semantics.SDTA->Semantics.SDTA.degeneracyProjection - - -contains - - - -Semantics.SDTA.treeTransport - -def -treeTransport - - - -Semantics.SDTA->Semantics.SDTA.treeTransport - - -contains - - - -Semantics.SDTA.adapter - -def -adapter - - - -Semantics.SDTA->Semantics.SDTA.adapter - - -contains - - - -Semantics.SDTA.semanticMass - -def -semanticMass - - - -Semantics.SDTA->Semantics.SDTA.semanticMass - - -contains - - - -Semantics.SDTA.treeComposition - -def -treeComposition - - - -Semantics.SDTA->Semantics.SDTA.treeComposition - - -contains - - - -Semantics.SDTA.portabilityCoefficient - -def -portabilityCoefficient - - - -Semantics.SDTA->Semantics.SDTA.portabilityCoefficient - - -contains - - - -Semantics.SDTA.SDTA_is_category - -def -SDTA_is_category - - - -Semantics.SDTA->Semantics.SDTA.SDTA_is_category - - -contains - - - -Semantics.SIConstants - -module -SIConstants - - - -Semantics.SIConstants.caesiumFrequency_Hz - -def -caesiumFrequency_Hz - - - -Semantics.SIConstants->Semantics.SIConstants.caesiumFrequency_Hz - - -contains - - - -Semantics.SIConstants.speedOfLight_m_per_s - -def -speedOfLight_m_per_s - - - -Semantics.SIConstants->Semantics.SIConstants.speedOfLight_m_per_s - - -contains - - - -Semantics.SIConstants.planckConstant_J_s - -def -planckConstant_J_s - - - -Semantics.SIConstants->Semantics.SIConstants.planckConstant_J_s - - -contains - - - -Semantics.SIConstants.elementaryCharge_C - -def -elementaryCharge_C - - - -Semantics.SIConstants->Semantics.SIConstants.elementaryCharge_C - - -contains - - - -Semantics.SIConstants.boltzmannConstant_J_per_K - -def -boltzmannConstant_J_per_K - - - -Semantics.SIConstants->Semantics.SIConstants.boltzmannConstant_J_per_K - - -contains - - - -Semantics.SIConstants.avogadroConstant_per_mol - -def -avogadroConstant_per_mol - - - -Semantics.SIConstants->Semantics.SIConstants.avogadroConstant_per_mol - - -contains - - - -Semantics.SIConstants.luminousEfficacy_lm_per_W - -def -luminousEfficacy_lm_per_W - - - -Semantics.SIConstants->Semantics.SIConstants.luminousEfficacy_lm_per_W - - -contains - - - -Semantics.SIConstants.gasConstant_J_per_mol_K - -def -gasConstant_J_per_mol_K - - - -Semantics.SIConstants->Semantics.SIConstants.gasConstant_J_per_mol_K - - -contains - - - -Semantics.SIConstants.faradayConstant_C_per_mol - -def -faradayConstant_C_per_mol - - - -Semantics.SIConstants->Semantics.SIConstants.faradayConstant_C_per_mol - - -contains - - - -Semantics.SIConstants.standardGravity_m_per_s2 - -def -standardGravity_m_per_s2 - - - -Semantics.SIConstants->Semantics.SIConstants.standardGravity_m_per_s2 - - -contains - - - -Semantics.SIConstants.astronomicalUnit_m - -def -astronomicalUnit_m - - - -Semantics.SIConstants->Semantics.SIConstants.astronomicalUnit_m - - -contains - - - -Semantics.SIConstants.lightYear_m - -def -lightYear_m - - - -Semantics.SIConstants->Semantics.SIConstants.lightYear_m - - -contains - - - -Semantics.SIConstants.bohrRadius_m - -def -bohrRadius_m - - - -Semantics.SIConstants->Semantics.SIConstants.bohrRadius_m - - -contains - - - -Semantics.SIConstants.rydbergEnergy_eV - -def -rydbergEnergy_eV - - - -Semantics.SIConstants->Semantics.SIConstants.rydbergEnergy_eV - - -contains - - - -Semantics.SIConstants.inverseFineStructureConstant - -def -inverseFineStructureConstant - - - -Semantics.SIConstants->Semantics.SIConstants.inverseFineStructureConstant - - -contains - - - -Semantics.SIConstants.fineStructureConstant - -def -fineStructureConstant - - - -Semantics.SIConstants->Semantics.SIConstants.fineStructureConstant - - -contains - - - -Semantics.SIConstants.wienDisplacement_m_K - -def -wienDisplacement_m_K - - - -Semantics.SIConstants->Semantics.SIConstants.wienDisplacement_m_K - - -contains - - - -Semantics.SIConstants.sunBlackbodyPeak_m - -def -sunBlackbodyPeak_m - - - -Semantics.SIConstants->Semantics.SIConstants.sunBlackbodyPeak_m - - -contains - - - -Semantics.SIConstants.massEnergy_1g_J - -def -massEnergy_1g_J - - - -Semantics.SIConstants->Semantics.SIConstants.massEnergy_1g_J - - -contains - - - -Semantics.SIConstants.molarVolumeSTP_m3 - -def -molarVolumeSTP_m3 - - - -Semantics.SIConstants->Semantics.SIConstants.molarVolumeSTP_m3 - - -contains - - - -Semantics.SIMDBranchPrediction - -module -SIMDBranchPrediction - - - -Semantics.SIMDBranchPrediction->Semantics.FixedPoint - - -imports - - - -Semantics.SIMDBranchPrediction.simdBroadcastPreservesPrediction - -theorem -simdBroadcastPreservesPrediction - - - -Semantics.SIMDBranchPrediction->Semantics.SIMDBranchPrediction.simdBroadcastPreservesPrediction - - -contains - - - -Semantics.SIMDBranchPrediction.lawfulActionIncreasesConfidence - -theorem -lawfulActionIncreasesConfidence - - - -Semantics.SIMDBranchPrediction->Semantics.SIMDBranchPrediction.lawfulActionIncreasesConfidence - - -contains - - - -Semantics.SIMDBranchPrediction.branchPrediction - -def -branchPrediction - - - -Semantics.SIMDBranchPrediction->Semantics.SIMDBranchPrediction.branchPrediction - - -contains - - - -Semantics.SIMDBranchPrediction.simdBroadcast - -def -simdBroadcast - - - -Semantics.SIMDBranchPrediction->Semantics.SIMDBranchPrediction.simdBroadcast - - -contains - - - -Semantics.SIMDBranchPrediction.selectTransform - -def -selectTransform - - - -Semantics.SIMDBranchPrediction->Semantics.SIMDBranchPrediction.selectTransform - - -contains - - - -Semantics.SIMDBranchPrediction.addBranchHint - -def -addBranchHint - - - -Semantics.SIMDBranchPrediction->Semantics.SIMDBranchPrediction.addBranchHint - - -contains - - - -Semantics.SIMDBranchPrediction.isSIMDBranchActionLawful - -def -isSIMDBranchActionLawful - - - -Semantics.SIMDBranchPrediction->Semantics.SIMDBranchPrediction.isSIMDBranchActionLawful - - -contains - - - -Semantics.SIMDBranchPrediction.simdBranchedBind - -def -simdBranchedBind - - - -Semantics.SIMDBranchPrediction->Semantics.SIMDBranchPrediction.simdBranchedBind - - -contains - - - -Semantics.SLUG3 - -module -SLUG3 - - - -Semantics.SLUG3.OpVal - -def -OpVal - - - -Semantics.SLUG3->Semantics.SLUG3.OpVal - - -contains - - - -Semantics.SLUG3.toInt - -def -toInt - - - -Semantics.SLUG3->Semantics.SLUG3.toInt - - -contains - - - -Semantics.SLUG3.toIdx - -def -toIdx - - - -Semantics.SLUG3->Semantics.SLUG3.toIdx - - -contains - - - -Semantics.SLUG3.key - -def -key - - - -Semantics.SLUG3->Semantics.SLUG3.key - - -contains - - - -Semantics.SLUG3.decodeOp - -def -decodeOp - - - -Semantics.SLUG3->Semantics.SLUG3.decodeOp - - -contains - - - -Semantics.SLUG3.landauerCostBits - -def -landauerCostBits - - - -Semantics.SLUG3->Semantics.SLUG3.landauerCostBits - - -contains - - - -Semantics.SLUQ - -module -SLUQ - - - -Semantics.SLUQ.evaluateState - -def -evaluateState - - - -Semantics.SLUQ->Semantics.SLUQ.evaluateState - - -contains - - - -Semantics.SLUQ.evaluateStateInt - -def -evaluateStateInt - - - -Semantics.SLUQ->Semantics.SLUQ.evaluateStateInt - - -contains - - - -Semantics.SLUQ.updateNode - -def -updateNode - - - -Semantics.SLUQ->Semantics.SLUQ.updateNode - - -contains - - - -Semantics.SLUQ.tempQ16 - -def -tempQ16 - - - -Semantics.SLUQ->Semantics.SLUQ.tempQ16 - - -contains - - - -Semantics.SLUQ.sluqCost - -def -sluqCost - - - -Semantics.SLUQ->Semantics.SLUQ.sluqCost - - -contains - - - -Semantics.SLUQ.sluqInvariant - -def -sluqInvariant - - - -Semantics.SLUQ->Semantics.SLUQ.sluqInvariant - - -contains - - - -Semantics.SLUQ.sluqBind - -def -sluqBind - - - -Semantics.SLUQ->Semantics.SLUQ.sluqBind - - -contains - - - -Semantics.SLUQQuaternionIntegration - -module -SLUQQuaternionIntegration - - - -Semantics.SLUQQuaternionIntegration.sluqQuaternionOptimizationPreservesUnitWitness - -theorem -sluqQuaternionOptimizationPreservesUnitW - - - -Semantics.SLUQQuaternionIntegration->Semantics.SLUQQuaternionIntegration.sluqQuaternionOptimizationPreservesUnitWitness - - -contains - - - -Semantics.SLUQQuaternionIntegration.pruningPreservesReceipt - -theorem -pruningPreservesReceipt - - - -Semantics.SLUQQuaternionIntegration->Semantics.SLUQQuaternionIntegration.pruningPreservesReceipt - - -contains - - - -Semantics.SLUQQuaternionIntegration.cacheLocalQuaternionTriage - -def -cacheLocalQuaternionTriage - - - -Semantics.SLUQQuaternionIntegration->Semantics.SLUQQuaternionIntegration.cacheLocalQuaternionTriage - - -contains - - - -Semantics.SLUQQuaternionIntegration.pruneQuaternionTrajectories - -def -pruneQuaternionTrajectories - - - -Semantics.SLUQQuaternionIntegration->Semantics.SLUQQuaternionIntegration.pruneQuaternionTrajectories - - -contains - - - -Semantics.SLUQQuaternionIntegration.sluqQuaternionOptimizationStep - -def -sluqQuaternionOptimizationStep - - - -Semantics.SLUQQuaternionIntegration->Semantics.SLUQQuaternionIntegration.sluqQuaternionOptimizationStep - - -contains - - - -Semantics.SLUQQuaternionIntegration.multiTrajectoryQuaternionOptimization - -def -multiTrajectoryQuaternionOptimization - - - -Semantics.SLUQQuaternionIntegration->Semantics.SLUQQuaternionIntegration.multiTrajectoryQuaternionOptimization - - -contains - - - -Semantics.SLUQQuaternionIntegration.quaternionTrajectoryConverged - -def -quaternionTrajectoryConverged - - - -Semantics.SLUQQuaternionIntegration->Semantics.SLUQQuaternionIntegration.quaternionTrajectoryConverged - - -contains - - - -Semantics.SLUQTriage - -module -SLUQTriage - - - -Semantics.SLUQTriage->Semantics.FixedPoint - - -imports - - - -Semantics.SLUQTriage.lawfulTriageMaintainsNonNegativeEfficiency - -theorem -lawfulTriageMaintainsNonNegativeEfficien - - - -Semantics.SLUQTriage->Semantics.SLUQTriage.lawfulTriageMaintainsNonNegativeEfficiency - - -contains - - - -Semantics.SLUQTriage.triageEfficiencyMonotonicWithPruning - -theorem -triageEfficiencyMonotonicWithPruning - - - -Semantics.SLUQTriage->Semantics.SLUQTriage.triageEfficiencyMonotonicWithPruning - - -contains - - - -Semantics.SLUQTriage.calculateTriageScore - -def -calculateTriageScore - - - -Semantics.SLUQTriage->Semantics.SLUQTriage.calculateTriageScore - - -contains - - - -Semantics.SLUQTriage.shouldPruneTrajectory - -def -shouldPruneTrajectory - - - -Semantics.SLUQTriage->Semantics.SLUQTriage.shouldPruneTrajectory - - -contains - - - -Semantics.SLUQTriage.shouldCacheTrajectory - -def -shouldCacheTrajectory - - - -Semantics.SLUQTriage->Semantics.SLUQTriage.shouldCacheTrajectory - - -contains - - - -Semantics.SLUQTriage.classifyTriageDecision - -def -classifyTriageDecision - - - -Semantics.SLUQTriage->Semantics.SLUQTriage.classifyTriageDecision - - -contains - - - -Semantics.SLUQTriage.applyTriage - -def -applyTriage - - - -Semantics.SLUQTriage->Semantics.SLUQTriage.applyTriage - - -contains - - - -Semantics.SLUQTriage.calculateTriageEfficiency - -def -calculateTriageEfficiency - - - -Semantics.SLUQTriage->Semantics.SLUQTriage.calculateTriageEfficiency - - -contains - - - -Semantics.SLUQTriage.isTriageActionLawful - -def -isTriageActionLawful - - - -Semantics.SLUQTriage->Semantics.SLUQTriage.isTriageActionLawful - - -contains - - - -Semantics.SLUQTriage.updateTrajectory - -def -updateTrajectory - - - -Semantics.SLUQTriage->Semantics.SLUQTriage.updateTrajectory - - -contains - - - -Semantics.SLUQTriage.triageBind - -def -triageBind - - - -Semantics.SLUQTriage->Semantics.SLUQTriage.triageBind - - -contains - - - -Semantics.SMEFTExtension - -module -SMEFTExtension - - - -Semantics.SMEFTExtension.smWilson - -def -smWilson - - - -Semantics.SMEFTExtension->Semantics.SMEFTExtension.smWilson - - -contains - - - -Semantics.SMEFTExtension.lhcbAnomaly - -def -lhcbAnomaly - - - -Semantics.SMEFTExtension->Semantics.SMEFTExtension.lhcbAnomaly - - -contains - - - -Semantics.SMEFTExtension.effectiveWilson - -def -effectiveWilson - - - -Semantics.SMEFTExtension->Semantics.SMEFTExtension.effectiveWilson - - -contains - - - -Semantics.SMEFTExtension.extractEnergyScale - -def -extractEnergyScale - - - -Semantics.SMEFTExtension->Semantics.SMEFTExtension.extractEnergyScale - - -contains - - - -Semantics.SMEFTExtension.relevantOps - -def -relevantOps - - - -Semantics.SMEFTExtension->Semantics.SMEFTExtension.relevantOps - - -contains - - - -Semantics.SMEFTExtension.differentialRate - -def -differentialRate - - - -Semantics.SMEFTExtension->Semantics.SMEFTExtension.differentialRate - - -contains - - - -Semantics.SMEFTExtension.extractLeptoquarkMass - -def -extractLeptoquarkMass - - - -Semantics.SMEFTExtension->Semantics.SMEFTExtension.extractLeptoquarkMass - - -contains - - - -Semantics.SMEFTExtension.testEff - -def -testEff - - - -Semantics.SMEFTExtension->Semantics.SMEFTExtension.testEff - - -contains - - - -Semantics.SMEFTExtension.testLQ - -def -testLQ - - - -Semantics.SMEFTExtension->Semantics.SMEFTExtension.testLQ - - -contains - - - -Semantics.SSMS.compressionRatio - -theorem -compressionRatio - - - -Semantics.SSMS->Semantics.SSMS.compressionRatio - - -contains - - - -Semantics.SSMS.fp16Compression - -theorem -fp16Compression - - - -Semantics.SSMS->Semantics.SSMS.fp16Compression - - -contains - - - -Semantics.SSMS.jPhantomBounded - -theorem -jPhantomBounded - - - -Semantics.SSMS->Semantics.SSMS.jPhantomBounded - - -contains - - - -Semantics.SSMS.testEdgesWf - -theorem -testEdgesWf - - - -Semantics.SSMS->Semantics.SSMS.testEdgesWf - - -contains - - - -Semantics.SSMS.mul_eq_for_bounded - -theorem -mul_eq_for_bounded - - - -Semantics.SSMS->Semantics.SSMS.mul_eq_for_bounded - - -contains - - - -Semantics.SSMS.ediv_add_bound_nonneg - -theorem -ediv_add_bound_nonneg - - - -Semantics.SSMS->Semantics.SSMS.ediv_add_bound_nonneg - - -contains - - - -Semantics.SSMS.ediv_add_bound - -theorem -ediv_add_bound - - - -Semantics.SSMS->Semantics.SSMS.ediv_add_bound - - -contains - - - -Semantics.SSMS.abs_toInt_eq_clamp_abs - -theorem -abs_toInt_eq_clamp_abs - - - -Semantics.SSMS->Semantics.SSMS.abs_toInt_eq_clamp_abs - - -contains - - - -Semantics.SSMS.abs_sub_val_le - -theorem -abs_sub_val_le - - - -Semantics.SSMS->Semantics.SSMS.abs_sub_val_le - - -contains - - - -Semantics.SSMS.aciPreservedByMlgruStep - -theorem -aciPreservedByMlgruStep - - - -Semantics.SSMS->Semantics.SSMS.aciPreservedByMlgruStep - - -contains - - - -Semantics.SSMS.conflictFree - -theorem -conflictFree - - - -Semantics.SSMS->Semantics.SSMS.conflictFree - - -contains - - - -Semantics.SSMS.mlgru_blend_diff_le - -theorem -mlgru_blend_diff_le - - - -Semantics.SSMS->Semantics.SSMS.mlgru_blend_diff_le - - -contains - - - -Semantics.SSMS.ssms_step_nonexpansive - -theorem -ssms_step_nonexpansive - - - -Semantics.SSMS->Semantics.SSMS.ssms_step_nonexpansive - - -contains - - - -Semantics.SSMS.ssms_contraction_theorem - -theorem -ssms_contraction_theorem - - - -Semantics.SSMS->Semantics.SSMS.ssms_contraction_theorem - - -contains - - - -Semantics.SSMS.TernaryWeight - -def -TernaryWeight - - - -Semantics.SSMS->Semantics.SSMS.TernaryWeight - - -contains - - - -Semantics.SSMS.wordsNeeded - -def -wordsNeeded - - - -Semantics.SSMS->Semantics.SSMS.wordsNeeded - - -contains - - - -Semantics.SSMS.TernarySlice - -def -TernarySlice - - - -Semantics.SSMS->Semantics.SSMS.TernarySlice - - -contains - - - -Semantics.SSMS.BitLinearParams - -def -BitLinearParams - - - -Semantics.SSMS->Semantics.SSMS.BitLinearParams - - -contains - - - -Semantics.SSMS.bitLinearScale - -def -bitLinearScale - - - -Semantics.SSMS->Semantics.SSMS.bitLinearScale - - -contains - - - -Semantics.SSMS.mlgruStep - -def -mlgruStep - - - -Semantics.SSMS->Semantics.SSMS.mlgruStep - - -contains - - - -Semantics.SSMS.MlgruState - -def -MlgruState - - - -Semantics.SSMS->Semantics.SSMS.MlgruState - - -contains - - - -Semantics.SSMS.ScalarNode - -def -ScalarNode - - - -Semantics.SSMS->Semantics.SSMS.ScalarNode - - -contains - - - -Semantics.SSMS->Semantics.SSMS.ScalarNode - - -contains - - - -Semantics.SSMS->Semantics.SSMS.ScalarNode - - -contains - - - -Semantics.SSMS.poolRank - -def -poolRank - - - -Semantics.SSMS->Semantics.SSMS.poolRank - - -contains - - - -Semantics.SSMS.SubleqCore - -def -SubleqCore - - - -Semantics.SSMS->Semantics.SSMS.SubleqCore - - -contains - - - -Semantics.SSMS->Semantics.SSMS.SubleqCore - - -contains - - - -Semantics.SSMS->Semantics.SSMS.SubleqCore - - -contains - - - -Semantics.SSMS.ioIn - -def -ioIn - - - -Semantics.SSMS->Semantics.SSMS.ioIn - - -contains - - - -Semantics.SSMS.ioOut - -def -ioOut - - - -Semantics.SSMS->Semantics.SSMS.ioOut - - -contains - - - -Semantics.SSMS.sVal - -def -sVal - - - -Semantics.SSMS->Semantics.SSMS.sVal - - -contains - - - -Semantics.SSMS.sigmaPort - -def -sigmaPort - - - -Semantics.SSMS->Semantics.SSMS.sigmaPort - - -contains - - - -Semantics.SSMS.energyPort - -def -energyPort - - - -Semantics.SSMS->Semantics.SSMS.energyPort - - -contains - - - -Semantics.SSMS.tauSpawn - -def -tauSpawn - - - -Semantics.SSMS->Semantics.SSMS.tauSpawn - - -contains - - - -Semantics.SSMS_nD - -module -SSMS_nD - - - -Semantics.SSMS_nD.scalarCountMonotonic - -theorem -scalarCountMonotonic - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.scalarCountMonotonic - - -contains - - - -Semantics.SSMS_nD.scalarCount - -def -scalarCount - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.scalarCount - - -contains - - - -Semantics.SSMS_nD.nMax - -def -nMax - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.nMax - - -contains - - - -Semantics.SSMS_nD.validN - -def -validN - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.validN - - -contains - - - -Semantics.SSMS_nD.pool1D - -def -pool1D - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.pool1D - - -contains - - - -Semantics.SSMS_nD.lift1DToN - -def -lift1DToN - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.lift1DToN - - -contains - - - -Semantics.SSMS_nD.approxInverseChart - -def -approxInverseChart - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.approxInverseChart - - -contains - - - -Semantics.SSMS_nD.constraintResidual - -def -constraintResidual - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.constraintResidual - - -contains - - - -Semantics.SSMS_nD.constraintsSatisfied - -def -constraintsSatisfied - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.constraintsSatisfied - - -contains - - - -Semantics.SSMS_nD.constraintPotential - -def -constraintPotential - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.constraintPotential - - -contains - - - -Semantics.SSMS_nD.projectDown - -def -projectDown - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.projectDown - - -contains - - - -Semantics.SSMS_nD.dynamicCenterDist - -def -dynamicCenterDist - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.dynamicCenterDist - - -contains - - - -Semantics.SSMS_nD.dynamicACI - -def -dynamicACI - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.dynamicACI - - -contains - - - -Semantics.SSMS_nD.dynamicSuppresses - -def -dynamicSuppresses - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.dynamicSuppresses - - -contains - - - -Semantics.SSMS_nD.manifoldsOfDim - -def -manifoldsOfDim - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.manifoldsOfDim - - -contains - - - -Semantics.SSMS_nD.bettiSwooshND - -def -bettiSwooshND - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.bettiSwooshND - - -contains - - - -Semantics.SSMS_nD.dimensionPotential - -def -dimensionPotential - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.dimensionPotential - - -contains - - - -Semantics.SSMS_nD.totalPotentialWithDim - -def -totalPotentialWithDim - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.totalPotentialWithDim - - -contains - - - -Semantics.SSMS_nD.liftKernel - -def -liftKernel - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.liftKernel - - -contains - - - -Semantics.SSMS_nD.constrainKernel - -def -constrainKernel - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.constrainKernel - - -contains - - - -Semantics.SSMS_nD.varDimMemoryLayout - -def -varDimMemoryLayout - - - -Semantics.SSMS_nD->Semantics.SSMS_nD.varDimMemoryLayout - - -contains - - - -Semantics.SabotagePrevention - -module -SabotagePrevention - - - -Semantics.SabotagePrevention->Semantics.FixedPoint - - -imports - - - -Semantics.SabotagePrevention.checkLegitimateImprovement - -def -checkLegitimateImprovement - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.checkLegitimateImprovement - - -contains - - - -Semantics.SabotagePrevention.checkResourceStarvation - -def -checkResourceStarvation - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.checkResourceStarvation - - -contains - - - -Semantics.SabotagePrevention.checkNetworkConnectivity - -def -checkNetworkConnectivity - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.checkNetworkConnectivity - - -contains - - - -Semantics.SabotagePrevention.checkKnowledgeIntegrity - -def -checkKnowledgeIntegrity - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.checkKnowledgeIntegrity - - -contains - - - -Semantics.SabotagePrevention.checkServiceDisruptionBenefit - -def -checkServiceDisruptionBenefit - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.checkServiceDisruptionBenefit - - -contains - - - -Semantics.SabotagePrevention.checkSynchronizationStability - -def -checkSynchronizationStability - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.checkSynchronizationStability - - -contains - - - -Semantics.SabotagePrevention.checkNoInfluenceSeeking - -def -checkNoInfluenceSeeking - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.checkNoInfluenceSeeking - - -contains - - - -Semantics.SabotagePrevention.isResourceStarvation - -def -isResourceStarvation - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.isResourceStarvation - - -contains - - - -Semantics.SabotagePrevention.isDataCorruption - -def -isDataCorruption - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.isDataCorruption - - -contains - - - -Semantics.SabotagePrevention.isNetworkPartition - -def -isNetworkPartition - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.isNetworkPartition - - -contains - - - -Semantics.SabotagePrevention.isSynchronizationAttack - -def -isSynchronizationAttack - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.isSynchronizationAttack - - -contains - - - -Semantics.SabotagePrevention.isInfluenceSeeking - -def -isInfluenceSeeking - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.isInfluenceSeeking - - -contains - - - -Semantics.SabotagePrevention.sabotageBind - -def -sabotageBind - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.sabotageBind - - -contains - - - -Semantics.SabotagePrevention.checkConsistency - -def -checkConsistency - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.checkConsistency - - -contains - - - -Semantics.SabotagePrevention.checkCompleteness - -def -checkCompleteness - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.checkCompleteness - - -contains - - - -Semantics.SabotagePrevention.systemSelfReference - -def -systemSelfReference - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.systemSelfReference - - -contains - - - -Semantics.SabotagePrevention.godelNumber - -def -godelNumber - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.godelNumber - - -contains - - - -Semantics.SabotagePrevention.isRestorationWarranted - -def -isRestorationWarranted - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.isRestorationWarranted - - -contains - - - -Semantics.SabotagePrevention.evaluateRestorationBenefit - -def -evaluateRestorationBenefit - - - -Semantics.SabotagePrevention->Semantics.SabotagePrevention.evaluateRestorationBenefit - - -contains - - - -Semantics.ScalarCollapse - -module -ScalarCollapse - - - -Semantics.ScalarCollapse->Semantics.Decomposition - - -imports - - - -Semantics.ScalarCollapse.no_scalar_without_atomic_ancestry - -theorem -no_scalar_without_atomic_ancestry - - - -Semantics.ScalarCollapse->Semantics.ScalarCollapse.no_scalar_without_atomic_ancestry - - -contains - - - -Semantics.ScalarCollapse.no_scalar_without_lawful_history - -theorem -no_scalar_without_lawful_history - - - -Semantics.ScalarCollapse->Semantics.ScalarCollapse.no_scalar_without_lawful_history - - -contains - - - -Semantics.ScalarCollapse.no_scalar_without_load_visibility - -theorem -no_scalar_without_load_visibility - - - -Semantics.ScalarCollapse->Semantics.ScalarCollapse.no_scalar_without_load_visibility - - -contains - - - -Semantics.ScalarCollapse.no_scalar_without_capability_visibility - -theorem -no_scalar_without_capability_visibility - - - -Semantics.ScalarCollapse->Semantics.ScalarCollapse.no_scalar_without_capability_visibility - - -contains - - - -Semantics.ScalarCollapse.exact_collapse_matches_policy - -theorem -exact_collapse_matches_policy - - - -Semantics.ScalarCollapse->Semantics.ScalarCollapse.exact_collapse_matches_policy - - -contains - - - -Semantics.ScalarCollapse.collapse_policy_preserves_required_invariants - -theorem -collapse_policy_preserves_required_invar - - - -Semantics.ScalarCollapse->Semantics.ScalarCollapse.collapse_policy_preserves_required_invariants - - -contains - - - -Semantics.ScalarCollapse.collapse_preserves_universality_requirement - -theorem -collapse_preserves_universality_requirem - - - -Semantics.ScalarCollapse->Semantics.ScalarCollapse.collapse_preserves_universality_requirement - - -contains - - - -Semantics.ScalarCollapse.ScalarAdmissible - -def -ScalarAdmissible - - - -Semantics.ScalarCollapse->Semantics.ScalarCollapse.ScalarAdmissible - - -contains - - - -Semantics.ScalarEventProjection - -module -ScalarEventProjection - - - -Semantics.ScalarEventProjection.sameEntropyFeedsAllLanes - -theorem -sameEntropyFeedsAllLanes - - - -Semantics.ScalarEventProjection->Semantics.ScalarEventProjection.sameEntropyFeedsAllLanes - - -contains - - - -Semantics.ScalarEventProjection.multiProjectionMoreStructure - -theorem -multiProjectionMoreStructure - - - -Semantics.ScalarEventProjection->Semantics.ScalarEventProjection.multiProjectionMoreStructure - - -contains - - - -Semantics.ScalarEventProjection.multiProjectionHasThreeValidLanes - -theorem -multiProjectionHasThreeValidLanes - - - -Semantics.ScalarEventProjection->Semantics.ScalarEventProjection.multiProjectionHasThreeValidLanes - - -contains - - - -Semantics.ScalarEventProjection.failureModeRouting - -theorem -failureModeRouting - - - -Semantics.ScalarEventProjection->Semantics.ScalarEventProjection.failureModeRouting - - -contains - - - -Semantics.ScalarEventProjection.computeCalculationProjection - -def -computeCalculationProjection - - - -Semantics.ScalarEventProjection->Semantics.ScalarEventProjection.computeCalculationProjection - - -contains - - - -Semantics.ScalarEventProjection.computeDefenseProjection - -def -computeDefenseProjection - - - -Semantics.ScalarEventProjection->Semantics.ScalarEventProjection.computeDefenseProjection - - -contains - - - -Semantics.ScalarEventProjection.computeVerificationProjection - -def -computeVerificationProjection - - - -Semantics.ScalarEventProjection->Semantics.ScalarEventProjection.computeVerificationProjection - - -contains - - - -Semantics.ScalarEventProjection.computeMultiProjection - -def -computeMultiProjection - - - -Semantics.ScalarEventProjection->Semantics.ScalarEventProjection.computeMultiProjection - - -contains - - - -Semantics.ScalarEventProjection.applyValueGate - -def -applyValueGate - - - -Semantics.ScalarEventProjection->Semantics.ScalarEventProjection.applyValueGate - - -contains - - - -Semantics.ScalarEventProjection.projectionYield - -def -projectionYield - - - -Semantics.ScalarEventProjection->Semantics.ScalarEventProjection.projectionYield - - -contains - - - -Semantics.ScalarEventProjection.multiProjectionYield - -def -multiProjectionYield - - - -Semantics.ScalarEventProjection->Semantics.ScalarEventProjection.multiProjectionYield - - -contains - - - -Semantics.ScalarEventProjection.exampleScalarEvent - -def -exampleScalarEvent - - - -Semantics.ScalarEventProjection->Semantics.ScalarEventProjection.exampleScalarEvent - - -contains - - - -Semantics.Scratch - -module -Scratch - - - -Semantics.Scratch->Semantics.Hardware.AgenticHardware - - -imports - - - -Semantics.Scratch.create - -def -create - - - -Semantics.Scratch->Semantics.Scratch.create - - -contains - - - -Semantics.Scratch.send - -def -send - - - -Semantics.Scratch->Semantics.Scratch.send - - -contains - - - -Semantics.Scratch.receive - -def -receive - - - -Semantics.Scratch->Semantics.Scratch.receive - - -contains - - - -Semantics.Scratch.deliver - -def -deliver - - - -Semantics.Scratch->Semantics.Scratch.deliver - - -contains - - - -Semantics.Scratch.flushOutbox - -def -flushOutbox - - - -Semantics.Scratch->Semantics.Scratch.flushOutbox - - -contains - - - -Semantics.Scratch.inboxSize - -def -inboxSize - - - -Semantics.Scratch->Semantics.Scratch.inboxSize - - -contains - - - -Semantics.Scratch.empty - -def -empty - - - -Semantics.Scratch->Semantics.Scratch.empty - - -contains - - - -Semantics.Scratch.registerMailbox - -def -registerMailbox - - - -Semantics.Scratch->Semantics.Scratch.registerMailbox - - -contains - - - -Semantics.Scratch.findMailbox - -def -findMailbox - - - -Semantics.Scratch->Semantics.Scratch.findMailbox - - -contains - - - -Semantics.Scratch.updateMailbox - -def -updateMailbox - - - -Semantics.Scratch->Semantics.Scratch.updateMailbox - - -contains - - - -Semantics.Scratch.deliveryCycle - -def -deliveryCycle - - - -Semantics.Scratch->Semantics.Scratch.deliveryCycle - - -contains - - - -Semantics.Scratch.totalPending - -def -totalPending - - - -Semantics.Scratch->Semantics.Scratch.totalPending - - -contains - - - -Semantics.Search - -module -Search - - - -Semantics.Search->Semantics.FixedPoint - - -imports - - - -Semantics.Search.phiWeights - -def -phiWeights - - - -Semantics.Search->Semantics.Search.phiWeights - - -contains - - - -Semantics.Search.q16_16_of_nat - -def -q16_16_of_nat - - - -Semantics.Search->Semantics.Search.q16_16_of_nat - - -contains - - - -Semantics.Search.queryVector - -def -queryVector - - - -Semantics.Search->Semantics.Search.queryVector - - -contains - - - -Semantics.Search.weightedDot - -def -weightedDot - - - -Semantics.Search->Semantics.Search.weightedDot - - -contains - - - -Semantics.Search.weightedMag - -def -weightedMag - - - -Semantics.Search->Semantics.Search.weightedMag - - -contains - - - -Semantics.Search.similarity - -def -similarity - - - -Semantics.Search->Semantics.Search.similarity - - -contains - - - -Semantics.Search.rrfScore - -def -rrfScore - - - -Semantics.Search->Semantics.Search.rrfScore - - -contains - - - -Semantics.Search.similarityThreshold - -def -similarityThreshold - - - -Semantics.Search->Semantics.Search.similarityThreshold - - -contains - - - -Semantics.Search.rrfK - -def -rrfK - - - -Semantics.Search->Semantics.Search.rrfK - - -contains - - - -Semantics.Search.hybridSearch - -def -hybridSearch - - - -Semantics.Search->Semantics.Search.hybridSearch - - -contains - - - -Semantics.Selfies - -module -Selfies - - - -Semantics.Selfies.notValidEmpty - -theorem -notValidEmpty - - - -Semantics.Selfies->Semantics.Selfies.notValidEmpty - - -contains - - - -Semantics.Selfies.validCarbon - -theorem -validCarbon - - - -Semantics.Selfies->Semantics.Selfies.validCarbon - - -contains - - - -Semantics.Selfies.validEthanol - -theorem -validEthanol - - - -Semantics.Selfies->Semantics.Selfies.validEthanol - - -contains - - - -Semantics.Selfies.validCO2 - -theorem -validCO2 - - - -Semantics.Selfies->Semantics.Selfies.validCO2 - - -contains - - - -Semantics.Selfies.parseAtomSymbol - -def -parseAtomSymbol - - - -Semantics.Selfies->Semantics.Selfies.parseAtomSymbol - - -contains - - - -Semantics.Selfies.parse - -def -parse - - - -Semantics.Selfies->Semantics.Selfies.parse - - -contains - - - -Semantics.Selfies.isValid - -def -isValid - - - -Semantics.Selfies->Semantics.Selfies.isValid - - -contains - - - -Semantics.Selfies.smilesAtomToSelfies - -def -smilesAtomToSelfies - - - -Semantics.Selfies->Semantics.Selfies.smilesAtomToSelfies - - -contains - - - -Semantics.Selfies.smilesBondToSelfies - -def -smilesBondToSelfies - - - -Semantics.Selfies->Semantics.Selfies.smilesBondToSelfies - - -contains - - - -Semantics.Selfies.fromSmiles - -def -fromSmiles - - - -Semantics.Selfies->Semantics.Selfies.fromSmiles - - -contains - - - -Semantics.SemanticMass - -module -SemanticMass - - - -Semantics.SemanticMass.massInvariantUnderDomainTranslation - -theorem -massInvariantUnderDomainTranslation - - - -Semantics.SemanticMass->Semantics.SemanticMass.massInvariantUnderDomainTranslation - - -contains - - - -Semantics.SemanticMass.semanticAttraction_nonneg - -theorem -semanticAttraction_nonneg - - - -Semantics.SemanticMass->Semantics.SemanticMass.semanticAttraction_nonneg - - -contains - - - -Semantics.SemanticMass.semanticInertia_nonneg - -theorem -semanticInertia_nonneg - - - -Semantics.SemanticMass->Semantics.SemanticMass.semanticInertia_nonneg - - -contains - - - -Semantics.SemanticMass.semanticMassChange_nonpos - -theorem -semanticMassChange_nonpos - - - -Semantics.SemanticMass->Semantics.SemanticMass.semanticMassChange_nonpos - - -contains - - - -Semantics.SemanticMass.semanticMassChange_pos - -theorem -semanticMassChange_pos - - - -Semantics.SemanticMass->Semantics.SemanticMass.semanticMassChange_pos - - -contains - - - -Semantics.SemanticMass.massNonneg - -def -massNonneg - - - -Semantics.SemanticMass->Semantics.SemanticMass.massNonneg - - -contains - - - -Semantics.SemanticMass.semanticEnergy - -def -semanticEnergy - - - -Semantics.SemanticMass->Semantics.SemanticMass.semanticEnergy - - -contains - - - -Semantics.SemanticMass.semanticAttraction - -def -semanticAttraction - - - -Semantics.SemanticMass->Semantics.SemanticMass.semanticAttraction - - -contains - - - -Semantics.SemanticMass.semanticInertia - -def -semanticInertia - - - -Semantics.SemanticMass->Semantics.SemanticMass.semanticInertia - - -contains - - - -Semantics.SemanticMass.semanticMassChange - -def -semanticMassChange - - - -Semantics.SemanticMass->Semantics.SemanticMass.semanticMassChange - - -contains - - - -Semantics.SemanticMass.massVectorOf - -def -massVectorOf - - - -Semantics.SemanticMass->Semantics.SemanticMass.massVectorOf - - -contains - - - -Semantics.SemanticMass.fammWeight - -def -fammWeight - - - -Semantics.SemanticMass->Semantics.SemanticMass.fammWeight - - -contains - - - -Semantics.SemanticMass.rrcWeight - -def -rrcWeight - - - -Semantics.SemanticMass->Semantics.SemanticMass.rrcWeight - - -contains - - - -Semantics.SemanticMass.massFromSidonSignature - -def -massFromSidonSignature - - - -Semantics.SemanticMass->Semantics.SemanticMass.massFromSidonSignature - - -contains - - - -Semantics.SemanticMass.weightedMass - -def -weightedMass - - - -Semantics.SemanticMass->Semantics.SemanticMass.weightedMass - - -contains - - - -Semantics.SemanticMass.semanticMassOf - -def -semanticMassOf - - - -Semantics.SemanticMass->Semantics.SemanticMass.semanticMassOf - - -contains - - - -Semantics.SemanticMass.massDistance - -def -massDistance - - - -Semantics.SemanticMass->Semantics.SemanticMass.massDistance - - -contains - - - -Semantics.SemanticMass.routeScore - -def -routeScore - - - -Semantics.SemanticMass->Semantics.SemanticMass.routeScore - - -contains - - - -Semantics.SemanticMass.couplingStrength - -def -couplingStrength - - - -Semantics.SemanticMass->Semantics.SemanticMass.couplingStrength - - -contains - - - -Semantics.SemanticMass.semanticWeight - -def -semanticWeight - - - -Semantics.SemanticMass->Semantics.SemanticMass.semanticWeight - - -contains - - - -Semantics.SemanticMass.massAfterCoupling - -def -massAfterCoupling - - - -Semantics.SemanticMass->Semantics.SemanticMass.massAfterCoupling - - -contains - - - -Semantics.SemanticMass.imaginaryUnitSemanticMass - -def -imaginaryUnitSemanticMass - - - -Semantics.SemanticMass->Semantics.SemanticMass.imaginaryUnitSemanticMass - - -contains - - - -Semantics.SemanticRGFlow - -module -SemanticRGFlow - - - -Semantics.SemanticRGFlow.attractorDescent - -def -attractorDescent - - - -Semantics.SemanticRGFlow->Semantics.SemanticRGFlow.attractorDescent - - -contains - - - -Semantics.SensorField - -module -SensorField - - - -Semantics.SensorField->Semantics.PhysicsScalar - - -imports - - - -Semantics.SensorField.isRfBand - -def -isRfBand - - - -Semantics.SensorField->Semantics.SensorField.isRfBand - - -contains - - - -Semantics.SensorField.isOpticalBand - -def -isOpticalBand - - - -Semantics.SensorField->Semantics.SensorField.isOpticalBand - - -contains - - - -Semantics.SensorField.modalityBandCompatible - -def -modalityBandCompatible - - - -Semantics.SensorField->Semantics.SensorField.modalityBandCompatible - - -contains - - - -Semantics.SensorField.intensityWithinWindow - -def -intensityWithinWindow - - - -Semantics.SensorField->Semantics.SensorField.intensityWithinWindow - - -contains - - - -Semantics.SensorField.bandAccepted - -def -bandAccepted - - - -Semantics.SensorField->Semantics.SensorField.bandAccepted - - -contains - - - -Semantics.SensorField.sampleCompatibleWithField - -def -sampleCompatibleWithField - - - -Semantics.SensorField->Semantics.SensorField.sampleCompatibleWithField - - -contains - - - -Semantics.SensorField.sampleCompatibleWithBoundary - -def -sampleCompatibleWithBoundary - - - -Semantics.SensorField->Semantics.SensorField.sampleCompatibleWithBoundary - - -contains - - - -Semantics.SensorField.sampleCompatibleWithLink - -def -sampleCompatibleWithLink - - - -Semantics.SensorField->Semantics.SensorField.sampleCompatibleWithLink - - -contains - - - -Semantics.SensorField.deriveErrorField - -def -deriveErrorField - - - -Semantics.SensorField->Semantics.SensorField.deriveErrorField - - -contains - - - -Semantics.SensorField.classifyErrorDisposition - -def -classifyErrorDisposition - - - -Semantics.SensorField->Semantics.SensorField.classifyErrorDisposition - - -contains - - - -Semantics.SensorField.assessSensorError - -def -assessSensorError - - - -Semantics.SensorField->Semantics.SensorField.assessSensorError - - -contains - - - -Semantics.SensorField.classifyDetectionClass - -def -classifyDetectionClass - - - -Semantics.SensorField->Semantics.SensorField.classifyDetectionClass - - -contains - - - -Semantics.SensorField.classifySensorRegime - -def -classifySensorRegime - - - -Semantics.SensorField->Semantics.SensorField.classifySensorRegime - - -contains - - - -Semantics.SensorField.detectionConfidence - -def -detectionConfidence - - - -Semantics.SensorField->Semantics.SensorField.detectionConfidence - - -contains - - - -Semantics.SensorField.detectSample - -def -detectSample - - - -Semantics.SensorField->Semantics.SensorField.detectSample - - -contains - - - -Semantics.SensorField.channelSupportsDetection - -def -channelSupportsDetection - - - -Semantics.SensorField->Semantics.SensorField.channelSupportsDetection - - -contains - - - -Semantics.SensorField.fieldAdmitsTransition - -def -fieldAdmitsTransition - - - -Semantics.SensorField->Semantics.SensorField.fieldAdmitsTransition - - -contains - - - -Semantics.SensorField.wifiSensorField - -def -wifiSensorField - - - -Semantics.SensorField->Semantics.SensorField.wifiSensorField - - -contains - - - -Semantics.SensorField.opticalProbeField - -def -opticalProbeField - - - -Semantics.SensorField->Semantics.SensorField.opticalProbeField - - -contains - - - -Semantics.ShellModel - -module -ShellModel - - - -Semantics.ShellModel.isqrt - -def -isqrt - - - -Semantics.ShellModel->Semantics.ShellModel.isqrt - - -contains - - - -Semantics.ShellModel.shellState - -def -shellState - - - -Semantics.ShellModel->Semantics.ShellModel.shellState - - -contains - - - -Semantics.ShellModel.classifyEvent - -def -classifyEvent - - - -Semantics.ShellModel->Semantics.ShellModel.classifyEvent - - -contains - - - -Semantics.ShellModel.tipCoord - -def -tipCoord - - - -Semantics.ShellModel->Semantics.ShellModel.tipCoord - - -contains - - - -Semantics.ShellModel.eventAt - -def -eventAt - - - -Semantics.ShellModel->Semantics.ShellModel.eventAt - - -contains - - - -Semantics.ShellModel.SpectralSignature - -def -SpectralSignature - - - -Semantics.ShellModel->Semantics.ShellModel.SpectralSignature - - -contains - - - -Semantics.ShellModel->Semantics.ShellModel.SpectralSignature - - -contains - - - -Semantics.ShellModel.tailWeight - -def -tailWeight - - - -Semantics.ShellModel->Semantics.ShellModel.tailWeight - - -contains - - - -Semantics.ShellModel.clampInt - -def -clampInt - - - -Semantics.ShellModel->Semantics.ShellModel.clampInt - - -contains - - - -Semantics.ShellModel.phaseFromTipAndInteraction - -def -phaseFromTipAndInteraction - - - -Semantics.ShellModel->Semantics.ShellModel.phaseFromTipAndInteraction - - -contains - - - -Semantics.ShellModel.indexBitFromInteraction - -def -indexBitFromInteraction - - - -Semantics.ShellModel->Semantics.ShellModel.indexBitFromInteraction - - -contains - - - -Semantics.ShortestObservableTime - -module -ShortestObservableTime - - - -Semantics.ShortestObservableTime.for - -theorem -for - - - -Semantics.ShortestObservableTime->Semantics.ShortestObservableTime.for - - -contains - - - -Semantics.ShortestObservableTime.planckTimePositive - -theorem -planckTimePositive - - - -Semantics.ShortestObservableTime->Semantics.ShortestObservableTime.planckTimePositive - - -contains - - - -Semantics.ShortestObservableTime.secondsIn61YearsPositive - -theorem -secondsIn61YearsPositive - - - -Semantics.ShortestObservableTime->Semantics.ShortestObservableTime.secondsIn61YearsPositive - - -contains - - - -Semantics.ShortestObservableTime.thermalMinTimePositive - -theorem -thermalMinTimePositive - - - -Semantics.ShortestObservableTime->Semantics.ShortestObservableTime.thermalMinTimePositive - - -contains - - - -Semantics.ShortestObservableTime.hbarSI - -def -hbarSI - - - -Semantics.ShortestObservableTime->Semantics.ShortestObservableTime.hbarSI - - -contains - - - -Semantics.ShortestObservableTime.planckEnergyJ - -def -planckEnergyJ - - - -Semantics.ShortestObservableTime->Semantics.ShortestObservableTime.planckEnergyJ - - -contains - - - -Semantics.ShortestObservableTime.heisenbergMinTime - -def -heisenbergMinTime - - - -Semantics.ShortestObservableTime->Semantics.ShortestObservableTime.heisenbergMinTime - - -contains - - - -Semantics.ShortestObservableTime.planckTimeFromHeisenberg - -def -planckTimeFromHeisenberg - - - -Semantics.ShortestObservableTime->Semantics.ShortestObservableTime.planckTimeFromHeisenberg - - -contains - - - -Semantics.ShortestObservableTime.nuclearMinTime - -def -nuclearMinTime - - - -Semantics.ShortestObservableTime->Semantics.ShortestObservableTime.nuclearMinTime - - -contains - - - -Semantics.ShortestObservableTime.atomicMinTime - -def -atomicMinTime - - - -Semantics.ShortestObservableTime->Semantics.ShortestObservableTime.atomicMinTime - - -contains - - - -Semantics.ShortestObservableTime.thermalMinTime - -def -thermalMinTime - - - -Semantics.ShortestObservableTime->Semantics.ShortestObservableTime.thermalMinTime - - -contains - - - -Semantics.ShortestObservableTime.ecologicalMinTime - -def -ecologicalMinTime - - - -Semantics.ShortestObservableTime->Semantics.ShortestObservableTime.ecologicalMinTime - - -contains - - - -Semantics.ShortestObservableTime.planckTicksIn61Years - -def -planckTicksIn61Years - - - -Semantics.ShortestObservableTime->Semantics.ShortestObservableTime.planckTicksIn61Years - - -contains - - - -Semantics.ShortestObservableTime.thermalTicksIn61Years - -def -thermalTicksIn61Years - - - -Semantics.ShortestObservableTime->Semantics.ShortestObservableTime.thermalTicksIn61Years - - -contains - - - -Semantics.SidonAVM - -module -SidonAVM - - - -Semantics.SidonAVM->Mathlib.Data.Set.Basic - - -imports - - - -Semantics.SidonAVM.sidonAVM_eq_generateSidonFuel - -theorem -sidonAVM_eq_generateSidonFuel - - - -Semantics.SidonAVM->Semantics.SidonAVM.sidonAVM_eq_generateSidonFuel - - -contains - - - -Semantics.SidonAVM.sidonAVM_isSidonList - -theorem -sidonAVM_isSidonList - - - -Semantics.SidonAVM->Semantics.SidonAVM.sidonAVM_isSidonList - - -contains - - - -Semantics.SidonAVM.sidonAVM_terminates - -theorem -sidonAVM_terminates - - - -Semantics.SidonAVM->Semantics.SidonAVM.sidonAVM_terminates - - -contains - - - -Semantics.SidonAVM.maxSidonSize - -def -maxSidonSize - - - -Semantics.SidonAVM->Semantics.SidonAVM.maxSidonSize - - -contains - - - -Semantics.SidonAVM.memTarget - -def -memTarget - - - -Semantics.SidonAVM->Semantics.SidonAVM.memTarget - - -contains - - - -Semantics.SidonAVM.memCurrentLen - -def -memCurrentLen - - - -Semantics.SidonAVM->Semantics.SidonAVM.memCurrentLen - - -contains - - - -Semantics.SidonAVM.memCurrentBase - -def -memCurrentBase - - - -Semantics.SidonAVM->Semantics.SidonAVM.memCurrentBase - - -contains - - - -Semantics.SidonAVM.memCandidate - -def -memCandidate - - - -Semantics.SidonAVM->Semantics.SidonAVM.memCandidate - - -contains - - - -Semantics.SidonAVM.memCanAdd - -def -memCanAdd - - - -Semantics.SidonAVM->Semantics.SidonAVM.memCanAdd - - -contains - - - -Semantics.SidonAVM.memLoopI - -def -memLoopI - - - -Semantics.SidonAVM->Semantics.SidonAVM.memLoopI - - -contains - - - -Semantics.SidonAVM.memLoopJ - -def -memLoopJ - - - -Semantics.SidonAVM->Semantics.SidonAVM.memLoopJ - - -contains - - - -Semantics.SidonAVM.memTempSum - -def -memTempSum - - - -Semantics.SidonAVM->Semantics.SidonAVM.memTempSum - - -contains - - - -Semantics.SidonAVM.memTempFlag - -def -memTempFlag - - - -Semantics.SidonAVM->Semantics.SidonAVM.memTempFlag - - -contains - - - -Semantics.SidonAVM.initMemory - -def -initMemory - - - -Semantics.SidonAVM->Semantics.SidonAVM.initMemory - - -contains - - - -Semantics.SidonAVM.readNat - -def -readNat - - - -Semantics.SidonAVM->Semantics.SidonAVM.readNat - - -contains - - - -Semantics.SidonAVM.readCurrent - -def -readCurrent - - - -Semantics.SidonAVM->Semantics.SidonAVM.readCurrent - - -contains - - - -Semantics.SidonAVM.readCandidate - -def -readCandidate - - - -Semantics.SidonAVM->Semantics.SidonAVM.readCandidate - - -contains - - - -Semantics.SidonAVM.sidonCheckDone - -def -sidonCheckDone - - - -Semantics.SidonAVM->Semantics.SidonAVM.sidonCheckDone - - -contains - - - -Semantics.SidonAVM.sidonTryAdd - -def -sidonTryAdd - - - -Semantics.SidonAVM->Semantics.SidonAVM.sidonTryAdd - - -contains - - - -Semantics.SidonAVM.sidonIncrementCandidate - -def -sidonIncrementCandidate - - - -Semantics.SidonAVM->Semantics.SidonAVM.sidonIncrementCandidate - - -contains - - - -Semantics.SidonAVM.sidonStep - -def -sidonStep - - - -Semantics.SidonAVM->Semantics.SidonAVM.sidonStep - - -contains - - - -Semantics.SidonAVM.sidonRun - -def -sidonRun - - - -Semantics.SidonAVM->Semantics.SidonAVM.sidonRun - - -contains - - - -Semantics.SidonAVM.sidonProgram - -def -sidonProgram - - - -Semantics.SidonAVM->Semantics.SidonAVM.sidonProgram - - -contains - - - -Semantics.SidonSet - -module -SidonSet - - - -Semantics.SidonSet->Mathlib.Data.Set.Basic - - -imports - - - -Semantics.SidonSet.isSidon - -def -isSidon - - - -Semantics.SidonSet->Semantics.SidonSet.isSidon - - -contains - - - -Semantics.SidonSet.pairwiseSums - -def -pairwiseSums - - - -Semantics.SidonSet->Semantics.SidonSet.pairwiseSums - - -contains - - - -Semantics.SidonSet.canAdd - -def -canAdd - - - -Semantics.SidonSet->Semantics.SidonSet.canAdd - - -contains - - - -Semantics.SidonSet.generateSidonFuel - -def -generateSidonFuel - - - -Semantics.SidonSet->Semantics.SidonSet.generateSidonFuel - - -contains - - - -Semantics.SidonSet.main - -def -main - - - -Semantics.SidonSet->Semantics.SidonSet.main - - -contains - - - -Semantics.SidonSets - -module -SidonSets - - - -Semantics.SidonSets->Mathlib.Data.Set.Basic - - -imports - - - -Semantics.SidonSets.IsSidonMod - -theorem -IsSidonMod - - - -Semantics.SidonSets->Semantics.SidonSets.IsSidonMod - - -contains - - - -Semantics.SidonSets->Semantics.SidonSets.IsSidonMod - - -contains - - - -Semantics.SidonSets.IsIntervalSidon - -theorem -IsIntervalSidon - - - -Semantics.SidonSets->Semantics.SidonSets.IsIntervalSidon - - -contains - - - -Semantics.SidonSets->Semantics.SidonSets.IsIntervalSidon - - -contains - - - -Semantics.SidonSets->Semantics.SidonSets.IsIntervalSidon - - -contains - - - -Semantics.SidonSets->Semantics.SidonSets.IsIntervalSidon - - -contains - - - -Semantics.SidonSets->Semantics.SidonSets.IsIntervalSidon - - -contains - - - -Semantics.SidonSets->Semantics.SidonSets.IsIntervalSidon - - -contains - - - -Semantics.SidonSets.IsSidon - -theorem -IsSidon - - - -Semantics.SidonSets->Semantics.SidonSets.IsSidon - - -contains - - - -Semantics.SidonSets->Semantics.SidonSets.IsSidon - - -contains - - - -Semantics.SidonSets->Semantics.SidonSets.IsSidon - - -contains - - - -Semantics.SidonSets->Semantics.SidonSets.IsSidon - - -contains - - - -Semantics.SidonSets.sidonMaximum_exists - -theorem -sidonMaximum_exists - - - -Semantics.SidonSets->Semantics.SidonSets.sidonMaximum_exists - - -contains - - - -Semantics.SidonSets.sidonMaximum_isSidonMaximum - -theorem -sidonMaximum_isSidonMaximum - - - -Semantics.SidonSets->Semantics.SidonSets.sidonMaximum_isSidonMaximum - - -contains - - - -Semantics.SidonSets.isSidonMaximum_unique - -theorem -isSidonMaximum_unique - - - -Semantics.SidonSets->Semantics.SidonSets.isSidonMaximum_unique - - -contains - - - -Semantics.SidonSets.sidonMaximum_le_sqrt_two - -theorem -sidonMaximum_le_sqrt_two - - - -Semantics.SidonSets->Semantics.SidonSets.sidonMaximum_le_sqrt_two - - -contains - - - -Semantics.SidonSets.sortedLT_take_lt_drop - -theorem -sortedLT_take_lt_drop - - - -Semantics.SidonSets->Semantics.SidonSets.sortedLT_take_lt_drop - - -contains - - - -Semantics.SidonSets.johnson_numerical - -theorem -johnson_numerical - - - -Semantics.SidonSets->Semantics.SidonSets.johnson_numerical - - -contains - - - -Semantics.SidonSets.incidence_inequality - -theorem -incidence_inequality - - - -Semantics.SidonSets->Semantics.SidonSets.incidence_inequality - - -contains - - - -Semantics.SidonSets.sidon_intersection_sum_bound - -theorem -sidon_intersection_sum_bound - - - -Semantics.SidonSets->Semantics.SidonSets.sidon_intersection_sum_bound - - -contains - - - -Semantics.SidonSets.lindstrom_monotone - -theorem -lindstrom_monotone - - - -Semantics.SidonSets->Semantics.SidonSets.lindstrom_monotone - - -contains - - - -Semantics.SidonSets.sidonMaximum_le_lindstrom - -theorem -sidonMaximum_le_lindstrom - - - -Semantics.SidonSets->Semantics.SidonSets.sidonMaximum_le_lindstrom - - -contains - - - -Semantics.SidonSets.finrank_ext - -theorem -finrank_ext - - - -Semantics.SidonSets->Semantics.SidonSets.finrank_ext - - -contains - - - -Semantics.SidonSets.trace_surjective - -theorem -trace_surjective - - - -Semantics.SidonSets->Semantics.SidonSets.trace_surjective - - -contains - - - -Semantics.SidonSets.finrank_ker_trace - -theorem -finrank_ker_trace - - - -Semantics.SidonSets->Semantics.SidonSets.finrank_ker_trace - - -contains - - - -Semantics.SidonSets.minpoly_degree_eq_three - -theorem -minpoly_degree_eq_three - - - -Semantics.SidonSets->Semantics.SidonSets.minpoly_degree_eq_three - - -contains - - - -Semantics.SidonSets.linIndep_smul_v - -theorem -linIndep_smul_v - - - -Semantics.SidonSets->Semantics.SidonSets.linIndep_smul_v - - -contains - - - -Semantics.SidonSets.no_proper_invariant_subspace - -theorem -no_proper_invariant_subspace - - - -Semantics.SidonSets->Semantics.SidonSets.no_proper_invariant_subspace - - -contains - - - -Semantics.SidonSets.finrank_inf_of_distinct_twodim - -theorem -finrank_inf_of_distinct_twodim - - - -Semantics.SidonSets->Semantics.SidonSets.finrank_inf_of_distinct_twodim - - -contains - - - -Semantics.SidonSets.mem_scaledSubmodule_iff - -theorem -mem_scaledSubmodule_iff - - - -Semantics.SidonSets->Semantics.SidonSets.mem_scaledSubmodule_iff - - -contains - - - -Semantics.SidonSets.finrank_scaledSubmodule - -theorem -finrank_scaledSubmodule - - - -Semantics.SidonSets->Semantics.SidonSets.finrank_scaledSubmodule - - -contains - - - -Semantics.SidonSets.ker_trace_ne_bot - -theorem -ker_trace_ne_bot - - - -Semantics.SidonSets->Semantics.SidonSets.ker_trace_ne_bot - - -contains - - - -Semantics.SidonSets.IsSidonNat - -def -IsSidonNat - - - -Semantics.SidonSets->Semantics.SidonSets.IsSidonNat - - -contains - - - -Semantics.SidonSets.translate - -def -translate - - - -Semantics.SidonSets->Semantics.SidonSets.translate - - -contains - - - -Semantics.SidonSets.IsSidonMaximum - -def -IsSidonMaximum - - - -Semantics.SidonSets->Semantics.SidonSets.IsSidonMaximum - - -contains - - - -Semantics.SidonSets.kerBasis - -def -kerBasis - - - -Semantics.SidonSets->Semantics.SidonSets.kerBasis - - -contains - - - -Semantics.SidonSets.repV - -def -repV - - - -Semantics.SidonSets->Semantics.SidonSets.repV - - -contains - - - -Semantics.SidonSets.rep - -def -rep - - - -Semantics.SidonSets->Semantics.SidonSets.rep - - -contains - - - -Semantics.SidonSets.SingerFamilyHypothesis - -def -SingerFamilyHypothesis - - - -Semantics.SidonSets->Semantics.SidonSets.SingerFamilyHypothesis - - -contains - - - -Semantics.SidonSets.Erdos30Statement - -def -Erdos30Statement - - - -Semantics.SidonSets->Semantics.SidonSets.Erdos30Statement - - -contains - - - -Semantics.SidonSets.SidonChaosAddresses - -def -SidonChaosAddresses - - - -Semantics.SidonSets->Semantics.SidonSets.SidonChaosAddresses - - -contains - - - -Semantics.SidonSets.strandOfAddress - -def -strandOfAddress - - - -Semantics.SidonSets->Semantics.SidonSets.strandOfAddress - - -contains - - - -Semantics.SidonSets.addressOfStrand - -def -addressOfStrand - - - -Semantics.SidonSets->Semantics.SidonSets.addressOfStrand - - -contains - - - -Semantics.SidonSets.sidon_chaos_address - -def -sidon_chaos_address - - - -Semantics.SidonSets->Semantics.SidonSets.sidon_chaos_address - - -contains - - - -Semantics.SidonSets.ChaosStrand - -def -ChaosStrand - - - -Semantics.SidonSets->Semantics.SidonSets.ChaosStrand - - -contains - - - -Semantics.SidonSets.trajectoryAddress - -def -trajectoryAddress - - - -Semantics.SidonSets->Semantics.SidonSets.trajectoryAddress - - -contains - - - -Semantics.SidonSets.sidon_address_valid - -def -sidon_address_valid - - - -Semantics.SidonSets->Semantics.SidonSets.sidon_address_valid - - -contains - - - -Semantics.SieveLemmas - -module -SieveLemmas - - - -Semantics.SieveLemmas.observe_lt - -theorem -observe_lt - - - -Semantics.SieveLemmas->Semantics.SieveLemmas.observe_lt - - -contains - - - -Semantics.SieveLemmas.crtReconstruct_mod_ℓ1 - -theorem -crtReconstruct_mod_ℓ1 - - - -Semantics.SieveLemmas->Semantics.SieveLemmas.crtReconstruct_mod_ℓ1 - - -contains - - - -Semantics.SieveLemmas.crtReconstruct_mod_ℓ2 - -theorem -crtReconstruct_mod_ℓ2 - - - -Semantics.SieveLemmas->Semantics.SieveLemmas.crtReconstruct_mod_ℓ2 - - -contains - - - -Semantics.SieveLemmas.depth_token_coprime_intersect - -theorem -depth_token_coprime_intersect - - - -Semantics.SieveLemmas->Semantics.SieveLemmas.depth_token_coprime_intersect - - -contains - - - -Semantics.SieveLemmas.observe - -def -observe - - - -Semantics.SieveLemmas->Semantics.SieveLemmas.observe - - -contains - - - -Semantics.SieveLemmas.CoprimeObservers - -def -CoprimeObservers - - - -Semantics.SieveLemmas->Semantics.SieveLemmas.CoprimeObservers - - -contains - - - -Semantics.SieveLemmas.crtReconstruct - -def -crtReconstruct - - - -Semantics.SieveLemmas->Semantics.SieveLemmas.crtReconstruct - - -contains - - - -Semantics.SieveLemmas.humanℓ - -def -humanℓ - - - -Semantics.SieveLemmas->Semantics.SieveLemmas.humanℓ - - -contains - - - -Semantics.SieveLemmas.dolphinℓ - -def -dolphinℓ - - - -Semantics.SieveLemmas->Semantics.SieveLemmas.dolphinℓ - - -contains - - - -Semantics.SieveLemmas.shared - -def -shared - - - -Semantics.SieveLemmas->Semantics.SieveLemmas.shared - - -contains - - - -Semantics.SieveLemmas.humanShadow - -def -humanShadow - - - -Semantics.SieveLemmas->Semantics.SieveLemmas.humanShadow - - -contains - - - -Semantics.SieveLemmas.dolphinShadow - -def -dolphinShadow - - - -Semantics.SieveLemmas->Semantics.SieveLemmas.dolphinShadow - - -contains - - - -Semantics.SieveLemmas.reconciled - -def -reconciled - - - -Semantics.SieveLemmas->Semantics.SieveLemmas.reconciled - - -contains - - - -Semantics.SigmaGate - -module -SigmaGate - - - -Semantics.SigmaGate.sigmaGateAcceptsCorrect - -theorem -sigmaGateAcceptsCorrect - - - -Semantics.SigmaGate->Semantics.SigmaGate.sigmaGateAcceptsCorrect - - -contains - - - -Semantics.SigmaGate.sigmaGateRejectsIncorrect - -theorem -sigmaGateRejectsIncorrect - - - -Semantics.SigmaGate->Semantics.SigmaGate.sigmaGateRejectsIncorrect - - -contains - - - -Semantics.SigmaGate.conformalCoverageGuarantee - -theorem -conformalCoverageGuarantee - - - -Semantics.SigmaGate->Semantics.SigmaGate.conformalCoverageGuarantee - - -contains - - - -Semantics.SigmaGate.conformalHighConfidenceAccept - -theorem -conformalHighConfidenceAccept - - - -Semantics.SigmaGate->Semantics.SigmaGate.conformalHighConfidenceAccept - - -contains - - - -Semantics.SigmaGate.conservativeThresholdValid - -theorem -conservativeThresholdValid - - - -Semantics.SigmaGate->Semantics.SigmaGate.conservativeThresholdValid - - -contains - - - -Semantics.SigmaGate.sixSigmaThresholdValid - -theorem -sixSigmaThresholdValid - - - -Semantics.SigmaGate->Semantics.SigmaGate.sixSigmaThresholdValid - - -contains - - - -Semantics.SigmaGate.SigmaScore - -def -SigmaScore - - - -Semantics.SigmaGate->Semantics.SigmaGate.SigmaScore - - -contains - - - -Semantics.SigmaGate->Semantics.SigmaGate.SigmaScore - - -contains - - - -Semantics.SigmaGate->Semantics.SigmaGate.SigmaScore - - -contains - - - -Semantics.SigmaGate.ConformalThreshold - -def -ConformalThreshold - - - -Semantics.SigmaGate->Semantics.SigmaGate.ConformalThreshold - - -contains - - - -Semantics.SigmaGate->Semantics.SigmaGate.ConformalThreshold - - -contains - - - -Semantics.SigmaGate.countConcordantPairs - -def -countConcordantPairs - - - -Semantics.SigmaGate->Semantics.SigmaGate.countConcordantPairs - - -contains - - - -Semantics.SigmaGate.computeAuroc - -def -computeAuroc - - - -Semantics.SigmaGate->Semantics.SigmaGate.computeAuroc - - -contains - - - -Semantics.SigmaGate.calibrateConformalThreshold - -def -calibrateConformalThreshold - - - -Semantics.SigmaGate->Semantics.SigmaGate.calibrateConformalThreshold - - -contains - - - -Semantics.SigmaGate.composeSigma - -def -composeSigma - - - -Semantics.SigmaGate->Semantics.SigmaGate.composeSigma - - -contains - - - -Semantics.SigmaGate.sigmaGateVerdict - -def -sigmaGateVerdict - - - -Semantics.SigmaGate->Semantics.SigmaGate.sigmaGateVerdict - - -contains - - - -Semantics.SigmaGate.sigmaGateBind - -def -sigmaGateBind - - - -Semantics.SigmaGate->Semantics.SigmaGate.sigmaGateBind - - -contains - - - -Semantics.SigmaGate.omegaLoopUpdate - -def -omegaLoopUpdate - - - -Semantics.SigmaGate->Semantics.SigmaGate.omegaLoopUpdate - - -contains - - - -Semantics.SigmaGate.CalibrationTarget - -def -CalibrationTarget - - - -Semantics.SigmaGate->Semantics.SigmaGate.CalibrationTarget - - -contains - - - -Semantics.SigmaGate->Semantics.SigmaGate.CalibrationTarget - - -contains - - - -Semantics.SigmaGate.verifyCalibrationTarget - -def -verifyCalibrationTarget - - - -Semantics.SigmaGate->Semantics.SigmaGate.verifyCalibrationTarget - - -contains - - - -Semantics.SigmaGate.isMinimumSampleSize - -def -isMinimumSampleSize - - - -Semantics.SigmaGate->Semantics.SigmaGate.isMinimumSampleSize - - -contains - - - -Semantics.SigmaGate.isValidConformalThreshold - -def -isValidConformalThreshold - - - -Semantics.SigmaGate->Semantics.SigmaGate.isValidConformalThreshold - - -contains - - - -Semantics.SigmaGate.shimToScoredItem - -def -shimToScoredItem - - - -Semantics.SigmaGate->Semantics.SigmaGate.shimToScoredItem - - -contains - - - -Semantics.SigmaGate.verifyShimCoverage - -def -verifyShimCoverage - - - -Semantics.SigmaGate->Semantics.SigmaGate.verifyShimCoverage - - -contains - - - -Semantics.SigmaGateBenchmark - -module -SigmaGateBenchmark - - - -Semantics.SigmaGateBenchmark.dataset_truthfulqa - -def -dataset_truthfulqa - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.dataset_truthfulqa - - -contains - - - -Semantics.SigmaGateBenchmark.threshold_truthfulqa - -def -threshold_truthfulqa - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.threshold_truthfulqa - - -contains - - - -Semantics.SigmaGateBenchmark.dataset_arc_challenge - -def -dataset_arc_challenge - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.dataset_arc_challenge - - -contains - - - -Semantics.SigmaGateBenchmark.threshold_arc_challenge - -def -threshold_arc_challenge - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.threshold_arc_challenge - - -contains - - - -Semantics.SigmaGateBenchmark.dataset_arc_easy - -def -dataset_arc_easy - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.dataset_arc_easy - - -contains - - - -Semantics.SigmaGateBenchmark.threshold_arc_easy - -def -threshold_arc_easy - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.threshold_arc_easy - - -contains - - - -Semantics.SigmaGateBenchmark.dataset_gsm8k - -def -dataset_gsm8k - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.dataset_gsm8k - - -contains - - - -Semantics.SigmaGateBenchmark.threshold_gsm8k - -def -threshold_gsm8k - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.threshold_gsm8k - - -contains - - - -Semantics.SigmaGateBenchmark.dataset_hellaswag - -def -dataset_hellaswag - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.dataset_hellaswag - - -contains - - - -Semantics.SigmaGateBenchmark.threshold_hellaswag - -def -threshold_hellaswag - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.threshold_hellaswag - - -contains - - - -Semantics.SigmaGateBenchmark.allDatasets - -def -allDatasets - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.allDatasets - - -contains - - - -Semantics.SigmaGateBenchmark.score_truthfulqa - -def -score_truthfulqa - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.score_truthfulqa - - -contains - - - -Semantics.SigmaGateBenchmark.score_arc_challenge - -def -score_arc_challenge - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.score_arc_challenge - - -contains - - - -Semantics.SigmaGateBenchmark.score_arc_easy - -def -score_arc_easy - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.score_arc_easy - - -contains - - - -Semantics.SigmaGateBenchmark.score_gsm8k - -def -score_gsm8k - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.score_gsm8k - - -contains - - - -Semantics.SigmaGateBenchmark.score_hellaswag - -def -score_hellaswag - - - -Semantics.SigmaGateBenchmark->Semantics.SigmaGateBenchmark.score_hellaswag - - -contains - - - -Semantics.SigmaGateEntropy - -module -SigmaGateEntropy - - - -Semantics.SigmaGateEntropy.uniformDistributionSigmaWitness - -theorem -uniformDistributionSigmaWitness - - - -Semantics.SigmaGateEntropy->Semantics.SigmaGateEntropy.uniformDistributionSigmaWitness - - -contains - - - -Semantics.SigmaGateEntropy.concentratedDistributionSigmaWitness - -theorem -concentratedDistributionSigmaWitness - - - -Semantics.SigmaGateEntropy->Semantics.SigmaGateEntropy.concentratedDistributionSigmaWitness - - -contains - - - -Semantics.SigmaGateEntropy.entropyToSigmaScore - -def -entropyToSigmaScore - - - -Semantics.SigmaGateEntropy->Semantics.SigmaGateEntropy.entropyToSigmaScore - - -contains - - - -Semantics.SigmaGateEntropy.probDistSigmaScore - -def -probDistSigmaScore - - - -Semantics.SigmaGateEntropy->Semantics.SigmaGateEntropy.probDistSigmaScore - - -contains - - - -Semantics.SigmaGateEntropy.uniformDist8 - -def -uniformDist8 - - - -Semantics.SigmaGateEntropy->Semantics.SigmaGateEntropy.uniformDist8 - - -contains - - - -Semantics.SigmaGateEntropy.concentratedDist8 - -def -concentratedDist8 - - - -Semantics.SigmaGateEntropy->Semantics.SigmaGateEntropy.concentratedDist8 - - -contains - - - -Semantics.SigmaGateEntropy.kernelShannonEntropy - -def -kernelShannonEntropy - - - -Semantics.SigmaGateEntropy->Semantics.SigmaGateEntropy.kernelShannonEntropy - - -contains - - - -Semantics.SigmaGateEntropy.kernelCollisionEntropy - -def -kernelCollisionEntropy - - - -Semantics.SigmaGateEntropy->Semantics.SigmaGateEntropy.kernelCollisionEntropy - - -contains - - - -Semantics.SigmaGateEntropy.kernelMinEntropy - -def -kernelMinEntropy - - - -Semantics.SigmaGateEntropy->Semantics.SigmaGateEntropy.kernelMinEntropy - - -contains - - - -Semantics.SigmaGateEntropy.kernelVariance - -def -kernelVariance - - - -Semantics.SigmaGateEntropy->Semantics.SigmaGateEntropy.kernelVariance - - -contains - - - -Semantics.SigmaGateEntropy.kernelJSD - -def -kernelJSD - - - -Semantics.SigmaGateEntropy->Semantics.SigmaGateEntropy.kernelJSD - - -contains - - - -Semantics.SigmaGateEntropy.assembleEntropyKernels - -def -assembleEntropyKernels - - - -Semantics.SigmaGateEntropy->Semantics.SigmaGateEntropy.assembleEntropyKernels - - -contains - - - -Semantics.SigmaGateEntropy.composeEntropySigma - -def -composeEntropySigma - - - -Semantics.SigmaGateEntropy->Semantics.SigmaGateEntropy.composeEntropySigma - - -contains - - - -Semantics.Smiles - -module -Smiles - - - -Semantics.Smiles.notValidEmpty - -theorem -notValidEmpty - - - -Semantics.Smiles->Semantics.Smiles.notValidEmpty - - -contains - - - -Semantics.Smiles.validCarbon - -theorem -validCarbon - - - -Semantics.Smiles->Semantics.Smiles.validCarbon - - -contains - - - -Semantics.Smiles.validEthanol - -theorem -validEthanol - - - -Semantics.Smiles->Semantics.Smiles.validEthanol - - -contains - - - -Semantics.Smiles.parseOrganicElement - -def -parseOrganicElement - - - -Semantics.Smiles->Semantics.Smiles.parseOrganicElement - - -contains - - - -Semantics.Smiles.parseTwoCharOrganic - -def -parseTwoCharOrganic - - - -Semantics.Smiles->Semantics.Smiles.parseTwoCharOrganic - - -contains - - - -Semantics.Smiles.parseAromaticElement - -def -parseAromaticElement - - - -Semantics.Smiles->Semantics.Smiles.parseAromaticElement - - -contains - - - -Semantics.Smiles.parseBond - -def -parseBond - - - -Semantics.Smiles->Semantics.Smiles.parseBond - - -contains - - - -Semantics.Smiles.ParseState - -def -ParseState - - - -Semantics.Smiles->Semantics.Smiles.ParseState - - -contains - - - -Semantics.Smiles->Semantics.Smiles.ParseState - - -contains - - - -Semantics.Smiles->Semantics.Smiles.ParseState - - -contains - - - -Semantics.Smiles.parseBondOpt - -def -parseBondOpt - - - -Semantics.Smiles->Semantics.Smiles.parseBondOpt - - -contains - - - -Semantics.Smiles.parse - -def -parse - - - -Semantics.Smiles->Semantics.Smiles.parse - - -contains - - - -Semantics.Smiles.isValid - -def -isValid - - - -Semantics.Smiles->Semantics.Smiles.isValid - - -contains - - - -Semantics.SolitonLighthouse - -module -SolitonLighthouse - - - -Semantics.SolitonLighthouse->Semantics.CanonicalInterval - - -imports - - - -Semantics.SolitonLighthouse.bindManifoldPointInvariant - -def -bindManifoldPointInvariant - - - -Semantics.SolitonLighthouse->Semantics.SolitonLighthouse.bindManifoldPointInvariant - - -contains - - - -Semantics.SolitonLighthouse.directionInvariant - -def -directionInvariant - - - -Semantics.SolitonLighthouse->Semantics.SolitonLighthouse.directionInvariant - - -contains - - - -Semantics.SolitonLighthouse.solitonWaveInvariant - -def -solitonWaveInvariant - - - -Semantics.SolitonLighthouse->Semantics.SolitonLighthouse.solitonWaveInvariant - - -contains - - - -Semantics.SolitonLighthouse.solitonLighthouseInvariant - -def -solitonLighthouseInvariant - - - -Semantics.SolitonLighthouse->Semantics.SolitonLighthouse.solitonLighthouseInvariant - - -contains - - - -Semantics.SolitonLighthouse.raycastSpawn - -def -raycastSpawn - - - -Semantics.SolitonLighthouse->Semantics.SolitonLighthouse.raycastSpawn - - -contains - - - -Semantics.SolitonLighthouse.propagate - -def -propagate - - - -Semantics.SolitonLighthouse->Semantics.SolitonLighthouse.propagate - - -contains - - - -Semantics.SolitonLighthouse.exampleBindManifoldPoint - -def -exampleBindManifoldPoint - - - -Semantics.SolitonLighthouse->Semantics.SolitonLighthouse.exampleBindManifoldPoint - - -contains - - - -Semantics.SolitonLighthouse.exampleDirection - -def -exampleDirection - - - -Semantics.SolitonLighthouse->Semantics.SolitonLighthouse.exampleDirection - - -contains - - - -Semantics.SolitonLighthouse.exampleSolitonLighthouse - -def -exampleSolitonLighthouse - - - -Semantics.SolitonLighthouse->Semantics.SolitonLighthouse.exampleSolitonLighthouse - - -contains - - - -Semantics.SolitonTensor - -module -SolitonTensor - - - -Semantics.SolitonTensor.emit - -def -emit - - - -Semantics.SolitonTensor->Semantics.SolitonTensor.emit - - -contains - - - -Semantics.SolitonTensor.propagate - -def -propagate - - - -Semantics.SolitonTensor->Semantics.SolitonTensor.propagate - - -contains - - - -Semantics.SparkleBridge - -module -SparkleBridge - - - -Semantics.SparkleBridge.pinnedSparkleRevision - -def -pinnedSparkleRevision - - - -Semantics.SparkleBridge->Semantics.SparkleBridge.pinnedSparkleRevision - - -contains - - - -Semantics.SparkleBridge.defaultDomain - -def -defaultDomain - - - -Semantics.SparkleBridge->Semantics.SparkleBridge.defaultDomain - - -contains - - - -Semantics.SparkleBridge.domain50MHz - -def -domain50MHz - - - -Semantics.SparkleBridge->Semantics.SparkleBridge.domain50MHz - - -contains - - - -Semantics.SparkleBridge.domain200MHz - -def -domain200MHz - - - -Semantics.SparkleBridge->Semantics.SparkleBridge.domain200MHz - - -contains - - - -Semantics.SparkleBridge.pure - -def -pure - - - -Semantics.SparkleBridge->Semantics.SparkleBridge.pure - - -contains - - - -Semantics.SparkleBridge.map - -def -map - - - -Semantics.SparkleBridge->Semantics.SparkleBridge.map - - -contains - - - -Semantics.SparkleBridge.atTime - -def -atTime - - - -Semantics.SparkleBridge->Semantics.SparkleBridge.atTime - - -contains - - - -Semantics.SparkleBridge.register - -def -register - - - -Semantics.SparkleBridge->Semantics.SparkleBridge.register - - -contains - - - -Semantics.SparkleBridge.sample - -def -sample - - - -Semantics.SparkleBridge->Semantics.SparkleBridge.sample - - -contains - - - -Semantics.SparkleBridge.registerChain8 - -def -registerChain8 - - - -Semantics.SparkleBridge->Semantics.SparkleBridge.registerChain8 - - -contains - - - -Semantics.SparkleBridge.registerChain8First4 - -def -registerChain8First4 - - - -Semantics.SparkleBridge->Semantics.SparkleBridge.registerChain8First4 - - -contains - - - -Semantics.SparkleBridge.dependencyWitness - -def -dependencyWitness - - - -Semantics.SparkleBridge->Semantics.SparkleBridge.dependencyWitness - - -contains - - - -Semantics.SparkleBridge.tangNano9KSparkleTarget - -def -tangNano9KSparkleTarget - - - -Semantics.SparkleBridge->Semantics.SparkleBridge.tangNano9KSparkleTarget - - -contains - - - -Semantics.SparkleBridge.targetWitness - -def -targetWitness - - - -Semantics.SparkleBridge->Semantics.SparkleBridge.targetWitness - - -contains - - - -Semantics.SpatialEvo - -module -SpatialEvo - - - -Semantics.SpatialEvo.numCategoriesCorrect - -theorem -numCategoriesCorrect - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.numCategoriesCorrect - - -contains - - - -Semantics.SpatialEvo.zeroNoiseProperty - -theorem -zeroNoiseProperty - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.zeroNoiseProperty - - -contains - - - -Semantics.SpatialEvo.determinism - -theorem -determinism - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.determinism - - -contains - - - -Semantics.SpatialEvo.zero - -def -zero - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.zero - - -contains - - - -Semantics.SpatialEvo.one - -def -one - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.one - - -contains - - - -Semantics.SpatialEvo.ofNat - -def -ofNat - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.ofNat - - -contains - - - -Semantics.SpatialEvo.add - -def -add - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.add - - -contains - - - -Semantics.SpatialEvo.sub - -def -sub - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.sub - - -contains - - - -Semantics.SpatialEvo.mul - -def -mul - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.mul - - -contains - - - -Semantics.SpatialEvo.div - -def -div - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.div - - -contains - - - -Semantics.SpatialEvo.abs - -def -abs - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.abs - - -contains - - - -Semantics.SpatialEvo.min - -def -min - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.min - - -contains - - - -Semantics.SpatialEvo.numCategories - -def -numCategories - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.numCategories - - -contains - - - -Semantics.SpatialEvo.toFin - -def -toFin - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.toFin - - -contains - - - -Semantics.SpatialEvo.all - -def -all - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.all - - -contains - - - -Semantics.SpatialEvo.checkPremiseConsistency - -def -checkPremiseConsistency - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.checkPremiseConsistency - - -contains - - - -Semantics.SpatialEvo.checkInferentialSolvability - -def -checkInferentialSolvability - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.checkInferentialSolvability - - -contains - - - -Semantics.SpatialEvo.checkDegeneracy - -def -checkDegeneracy - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.checkDegeneracy - - -contains - - - -Semantics.SpatialEvo.validateQuestion - -def -validateQuestion - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.validateQuestion - - -contains - - - -Semantics.SpatialEvo.computeCameraOrientation - -def -computeCameraOrientation - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.computeCameraOrientation - - -contains - - - -Semantics.SpatialEvo.computeObjectSize - -def -computeObjectSize - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.computeObjectSize - - -contains - - - -Semantics.SpatialEvo.computeDepthOrdering - -def -computeDepthOrdering - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.computeDepthOrdering - - -contains - - - -Semantics.SpatialEvo.entityParsing - -def -entityParsing - - - -Semantics.SpatialEvo->Semantics.SpatialEvo.entityParsing - - -contains - - - -Semantics.SpatialHashCodec - -module -SpatialHashCodec - - - -Semantics.SpatialHashCodec.val_ofRawInt_of_mem - -theorem -val_ofRawInt_of_mem - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.val_ofRawInt_of_mem - - -contains - - - -Semantics.SpatialHashCodec.ofNat_toNat_of_le - -theorem -ofNat_toNat_of_le - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.ofNat_toNat_of_le - - -contains - - - -Semantics.SpatialHashCodec.ext - -theorem -ext - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.ext - - -contains - - - -Semantics.SpatialHashCodec.decodeBitX_lt_16 - -theorem -decodeBitX_lt_16 - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.decodeBitX_lt_16 - - -contains - - - -Semantics.SpatialHashCodec.decodeBitY_lt_16 - -theorem -decodeBitY_lt_16 - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.decodeBitY_lt_16 - - -contains - - - -Semantics.SpatialHashCodec.decodeBitZ_lt_16 - -theorem -decodeBitZ_lt_16 - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.decodeBitZ_lt_16 - - -contains - - - -Semantics.SpatialHashCodec.mortonBounded_all - -theorem -mortonBounded_all - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.mortonBounded_all - - -contains - - - -Semantics.SpatialHashCodec.mortonBounded - -theorem -mortonBounded - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.mortonBounded - - -contains - - - -Semantics.SpatialHashCodec.mortonRoundtrip_all - -theorem -mortonRoundtrip_all - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.mortonRoundtrip_all - - -contains - - - -Semantics.SpatialHashCodec.mortonRoundtrip - -theorem -mortonRoundtrip - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.mortonRoundtrip - - -contains - - - -Semantics.SpatialHashCodec.mortonForward_all - -theorem -mortonForward_all - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.mortonForward_all - - -contains - - - -Semantics.SpatialHashCodec.mortonInjective - -theorem -mortonInjective - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.mortonInjective - - -contains - - - -Semantics.SpatialHashCodec.mortonSurjective - -theorem -mortonSurjective - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.mortonSurjective - - -contains - - - -Semantics.SpatialHashCodec.octantLocality_all - -theorem -octantLocality_all - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.octantLocality_all - - -contains - - - -Semantics.SpatialHashCodec.octantLocality - -theorem -octantLocality - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.octantLocality - - -contains - - - -Semantics.SpatialHashCodec.bitsRoundtrip - -theorem -bitsRoundtrip - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.bitsRoundtrip - - -contains - - - -Semantics.SpatialHashCodec.bitsInjective - -theorem -bitsInjective - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.bitsInjective - - -contains - - - -Semantics.SpatialHashCodec.fromPacked_coord_x - -theorem -fromPacked_coord_x - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.fromPacked_coord_x - - -contains - - - -Semantics.SpatialHashCodec.fromPacked_coord_y - -theorem -fromPacked_coord_y - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.fromPacked_coord_y - - -contains - - - -Semantics.SpatialHashCodec.fromPacked_coord_z - -theorem -fromPacked_coord_z - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.fromPacked_coord_z - - -contains - - - -Semantics.SpatialHashCodec.fromPacked_voltage_mode - -theorem -fromPacked_voltage_mode - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.fromPacked_voltage_mode - - -contains - - - -Semantics.SpatialHashCodec.fromPacked_density - -theorem -fromPacked_density - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.fromPacked_density - - -contains - - - -Semantics.SpatialHashCodec.packed_extract - -theorem -packed_extract - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.packed_extract - - -contains - - - -Semantics.SpatialHashCodec.packedRoundtrip - -theorem -packedRoundtrip - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.packedRoundtrip - - -contains - - - -Semantics.SpatialHashCodec.classificationIdempotent - -theorem -classificationIdempotent - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.classificationIdempotent - - -contains - - - -Semantics.SpatialHashCodec.classificationZeroWrites - -theorem -classificationZeroWrites - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.classificationZeroWrites - - -contains - - - -Semantics.SpatialHashCodec.classificationReadHeavy - -theorem -classificationReadHeavy - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.classificationReadHeavy - - -contains - - - -Semantics.SpatialHashCodec.neighborBounded_all - -theorem -neighborBounded_all - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.neighborBounded_all - - -contains - - - -Semantics.SpatialHashCodec.neighborBounded - -theorem -neighborBounded - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.neighborBounded - - -contains - - - -Semantics.SpatialHashCodec.neighborsInBounds - -theorem -neighborsInBounds - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.neighborsInBounds - - -contains - - - -Semantics.SpatialHashCodec.toNat - -def -toNat - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.toNat - - -contains - - - -Semantics.SpatialHashCodec.ofNat - -def -ofNat - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.ofNat - - -contains - - - -Semantics.SpatialHashCodec.toMorton - -def -toMorton - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.toMorton - - -contains - - - -Semantics.SpatialHashCodec.fromMorton - -def -fromMorton - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.fromMorton - - -contains - - - -Semantics.SpatialHashCodec.toBits - -def -toBits - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.toBits - - -contains - - - -Semantics.SpatialHashCodec.fromBits - -def -fromBits - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.fromBits - - -contains - - - -Semantics.SpatialHashCodec.empty - -def -empty - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.empty - - -contains - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.empty - - -contains - - - -Semantics.SpatialHashCodec.toPacked - -def -toPacked - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.toPacked - - -contains - - - -Semantics.SpatialHashCodec.fromPacked - -def -fromPacked - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.fromPacked - - -contains - - - -Semantics.SpatialHashCodec.classifyVoltageMode - -def -classifyVoltageMode - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.classifyVoltageMode - - -contains - - - -Semantics.SpatialHashCodec.mooreNeighborhood - -def -mooreNeighborhood - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.mooreNeighborhood - - -contains - - - -Semantics.SpatialHashCodec.hashToCoord - -def -hashToCoord - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.hashToCoord - - -contains - - - -Semantics.SpatialHashCodec.depth - -def -depth - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.depth - - -contains - - - -Semantics.SpatialHashCodec.cubeCount - -def -cubeCount - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.cubeCount - - -contains - - - -Semantics.SpatialHashCodec.cubeSide - -def -cubeSide - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.cubeSide - - -contains - - - -Semantics.SpatialHashCodec.successor - -def -successor - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.successor - - -contains - - - -Semantics.SpatialHashCodec.getCell - -def -getCell - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.getCell - - -contains - - - -Semantics.SpatialHashCodec.setCell - -def -setCell - - - -Semantics.SpatialHashCodec->Semantics.SpatialHashCodec.setCell - - -contains - - - -Semantics.SpectralField - -module -SpectralField - - - -Semantics.SpectralField.zeroField - -def -zeroField - - - -Semantics.SpectralField->Semantics.SpectralField.zeroField - - -contains - - - -Semantics.SpectralField.addField - -def -addField - - - -Semantics.SpectralField->Semantics.SpectralField.addField - - -contains - - - -Semantics.SpectralField.fieldContribution - -def -fieldContribution - - - -Semantics.SpectralField->Semantics.SpectralField.fieldContribution - - -contains - - - -Semantics.SpectralField.buildFieldAt - -def -buildFieldAt - - - -Semantics.SpectralField->Semantics.SpectralField.buildFieldAt - - -contains - - - -Semantics.SpectralField.interactionScore - -def -interactionScore - - - -Semantics.SpectralField->Semantics.SpectralField.interactionScore - - -contains - - - -Semantics.SpectralField.spectralInteractionOnly - -def -spectralInteractionOnly - - - -Semantics.SpectralField->Semantics.SpectralField.spectralInteractionOnly - - -contains - - - -Semantics.SpectralField.fieldMagnitude - -def -fieldMagnitude - - - -Semantics.SpectralField->Semantics.SpectralField.fieldMagnitude - - -contains - - - -Semantics.SpectralField.fieldIsActive - -def -fieldIsActive - - - -Semantics.SpectralField->Semantics.SpectralField.fieldIsActive - - -contains - - - -Semantics.Spectrum->Semantics.FixedPoint - - -imports - - - -Semantics.Spectrum.binCount - -def -binCount - - - -Semantics.Spectrum->Semantics.Spectrum.binCount - - -contains - - - -Semantics.Spectrum.empty - -def -empty - - - -Semantics.Spectrum->Semantics.Spectrum.empty - - -contains - - - -Semantics.Spectrum.activeBins - -def -activeBins - - - -Semantics.Spectrum->Semantics.Spectrum.activeBins - - -contains - - - -Semantics.Spectrum.peakDistance - -def -peakDistance - - - -Semantics.Spectrum->Semantics.Spectrum.peakDistance - - -contains - - - -Semantics.Spectrum.erdosHooleyDelta - -def -erdosHooleyDelta - - - -Semantics.Spectrum->Semantics.Spectrum.erdosHooleyDelta - - -contains - - - -Semantics.Spectrum.verifySpectralGap - -def -verifySpectralGap - - - -Semantics.Spectrum->Semantics.Spectrum.verifySpectralGap - - -contains - - - -Semantics.Spectrum.eventSpectrum - -def -eventSpectrum - - - -Semantics.Spectrum->Semantics.Spectrum.eventSpectrum - - -contains - - - -Semantics.Spectrum.spectralOverlap - -def -spectralOverlap - - - -Semantics.Spectrum->Semantics.Spectrum.spectralOverlap - - -contains - - - -Semantics.Spectrum.piecewiseMerge - -def -piecewiseMerge - - - -Semantics.Spectrum->Semantics.Spectrum.piecewiseMerge - - -contains - - - -Semantics.Spectrum.resonanceDegeneracy - -def -resonanceDegeneracy - - - -Semantics.Spectrum->Semantics.Spectrum.resonanceDegeneracy - - -contains - - - -Semantics.Spectrum.withinDensityBound - -def -withinDensityBound - - - -Semantics.Spectrum->Semantics.Spectrum.withinDensityBound - - -contains - - - -Semantics.SpherionTwinPrime - -module -SpherionTwinPrime - - - -Semantics.SpherionTwinPrime.coverageDensity_zero_of_small - -theorem -coverageDensity_zero_of_small - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.coverageDensity_zero_of_small - - -contains - - - -Semantics.SpherionTwinPrime.coverageDensity_four_nonzero - -theorem -coverageDensity_four_nonzero - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.coverageDensity_four_nonzero - - -contains - - - -Semantics.SpherionTwinPrime.coverageDensity_six_nonzero - -theorem -coverageDensity_six_nonzero - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.coverageDensity_six_nonzero - - -contains - - - -Semantics.SpherionTwinPrime.coverageDensity_eight_nonzero - -theorem -coverageDensity_eight_nonzero - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.coverageDensity_eight_nonzero - - -contains - - - -Semantics.SpherionTwinPrime.bettiPositive_iff_card_pos - -theorem -bettiPositive_iff_card_pos - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.bettiPositive_iff_card_pos - - -contains - - - -Semantics.SpherionTwinPrime.exists_covered_ge - -theorem -exists_covered_ge - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.exists_covered_ge - - -contains - - - -Semantics.SpherionTwinPrime.obstructionSeq_spec - -theorem -obstructionSeq_spec - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.obstructionSeq_spec - - -contains - - - -Semantics.SpherionTwinPrime.embedNat_injective - -theorem -embedNat_injective - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.embedNat_injective - - -contains - - - -Semantics.SpherionTwinPrime.sieve_is_nk_hodge_famm_scar - -theorem -sieve_is_nk_hodge_famm_scar - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.sieve_is_nk_hodge_famm_scar - - -contains - - - -Semantics.SpherionTwinPrime.obstruction_1_1_pp - -theorem -obstruction_1_1_pp - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.obstruction_1_1_pp - - -contains - - - -Semantics.SpherionTwinPrime.obstruction_1_1_mm - -theorem -obstruction_1_1_mm - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.obstruction_1_1_mm - - -contains - - - -Semantics.SpherionTwinPrime.witness_5 - -theorem -witness_5 - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.witness_5 - - -contains - - - -Semantics.SpherionTwinPrime.witness_7 - -theorem -witness_7 - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.witness_7 - - -contains - - - -Semantics.SpherionTwinPrime.witness_10 - -theorem -witness_10 - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.witness_10 - - -contains - - - -Semantics.SpherionTwinPrime.witness_12 - -theorem -witness_12 - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.witness_12 - - -contains - - - -Semantics.SpherionTwinPrime.witness_1 - -theorem -witness_1 - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.witness_1 - - -contains - - - -Semantics.SpherionTwinPrime.witness_2 - -theorem -witness_2 - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.witness_2 - - -contains - - - -Semantics.SpherionTwinPrime.witness_3 - -theorem -witness_3 - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.witness_3 - - -contains - - - -Semantics.SpherionTwinPrime.covered_4 - -theorem -covered_4 - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.covered_4 - - -contains - - - -Semantics.SpherionTwinPrime.covered_8 - -theorem -covered_8 - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.covered_8 - - -contains - - - -Semantics.SpherionTwinPrime.unbounded_iff_infinite - -theorem -unbounded_iff_infinite - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.unbounded_iff_infinite - - -contains - - - -Semantics.SpherionTwinPrime.repunit_collisions_unique - -theorem -repunit_collisions_unique - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.repunit_collisions_unique - - -contains - - - -Semantics.SpherionTwinPrime.x_ModEq_one_pred - -theorem -x_ModEq_one_pred - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.x_ModEq_one_pred - - -contains - - - -Semantics.SpherionTwinPrime.repunit_mod_pred - -theorem -repunit_mod_pred - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.repunit_mod_pred - - -contains - - - -Semantics.SpherionTwinPrime.goormaghtigh_collision_mod - -theorem -goormaghtigh_collision_mod - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.goormaghtigh_collision_mod - - -contains - - - -Semantics.SpherionTwinPrime.goormaghtigh_finite_search - -theorem -goormaghtigh_finite_search - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.goormaghtigh_finite_search - - -contains - - - -Semantics.SpherionTwinPrime.repunit_gt_pow_pred - -theorem -repunit_gt_pow_pred - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.repunit_gt_pow_pred - - -contains - - - -Semantics.SpherionTwinPrime.geom_series_mul_pred - -theorem -geom_series_mul_pred - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.geom_series_mul_pred - - -contains - - - -Semantics.SpherionTwinPrime.repunit_lt_x_pow_m - -theorem -repunit_lt_x_pow_m - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.repunit_lt_x_pow_m - - -contains - - - -Semantics.SpherionTwinPrime.expT_increases_energy - -theorem -expT_increases_energy - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.expT_increases_energy - - -contains - - - -Semantics.SpherionTwinPrime.obstruction - -def -obstruction - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.obstruction - - -contains - - - -Semantics.SpherionTwinPrime.coverageDensity - -def -coverageDensity - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.coverageDensity - - -contains - - - -Semantics.SpherionTwinPrime.isWitness - -def -isWitness - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.isWitness - - -contains - - - -Semantics.SpherionTwinPrime.witnessRegion - -def -witnessRegion - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.witnessRegion - - -contains - - - -Semantics.SpherionTwinPrime.witnessScarComplex - -def -witnessScarComplex - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.witnessScarComplex - - -contains - - - -Semantics.SpherionTwinPrime.witnessCount - -def -witnessCount - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.witnessCount - - -contains - - - -Semantics.SpherionTwinPrime.beta0 - -def -beta0 - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.beta0 - - -contains - - - -Semantics.SpherionTwinPrime.bettiPositive - -def -bettiPositive - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.bettiPositive - - -contains - - - -Semantics.SpherionTwinPrime.unboundedWitnesses - -def -unboundedWitnesses - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.unboundedWitnesses - - -contains - - - -Semantics.SpherionTwinPrime.ghostObstruction - -def -ghostObstruction - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.ghostObstruction - - -contains - - - -Semantics.SpherionTwinPrime.tunedObstruction - -def -tunedObstruction - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.tunedObstruction - - -contains - - - -Semantics.SpherionTwinPrime.tunedWitnessRegion - -def -tunedWitnessRegion - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.tunedWitnessRegion - - -contains - - - -Semantics.SpherionTwinPrime.embedNat - -def -embedNat - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.embedNat - - -contains - - - -Semantics.SpherionTwinPrime.firstWitnesses - -def -firstWitnesses - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.firstWitnesses - - -contains - - - -Semantics.SpherionTwinPrime.firstCovered - -def -firstCovered - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.firstCovered - - -contains - - - -Semantics.SpherionTwinPrime.repunit - -def -repunit - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.repunit - - -contains - - - -Semantics.SpherionTwinPrime.expT - -def -expT - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.expT - - -contains - - - -Semantics.SpherionTwinPrime.expU - -def -expU - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.expU - - -contains - - - -Semantics.SpherionTwinPrime.expS - -def -expS - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.expS - - -contains - - - -Semantics.SpherionTwinPrime.expP - -def -expP - - - -Semantics.SpherionTwinPrime->Semantics.SpherionTwinPrime.expP - - -contains - - - -Semantics.SpikingDynamics - -module -SpikingDynamics - - - -Semantics.SpikingDynamics->Semantics.PhysicsScalarBridge - - -imports - - - -Semantics.SpikingDynamics.defaultMembraneState - -def -defaultMembraneState - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.defaultMembraneState - - -contains - - - -Semantics.SpikingDynamics.defaultSpikingApiSurface - -def -defaultSpikingApiSurface - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.defaultSpikingApiSurface - - -contains - - - -Semantics.SpikingDynamics.eventCompatibleWithEm - -def -eventCompatibleWithEm - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.eventCompatibleWithEm - - -contains - - - -Semantics.SpikingDynamics.eventCompatibleWithTemporal - -def -eventCompatibleWithTemporal - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.eventCompatibleWithTemporal - - -contains - - - -Semantics.SpikingDynamics.eventCompatibleWithRegion - -def -eventCompatibleWithRegion - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.eventCompatibleWithRegion - - -contains - - - -Semantics.SpikingDynamics.apiAllowsTransition - -def -apiAllowsTransition - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.apiAllowsTransition - - -contains - - - -Semantics.SpikingDynamics.integratePotential - -def -integratePotential - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.integratePotential - - -contains - - - -Semantics.SpikingDynamics.applyLeak - -def -applyLeak - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.applyLeak - - -contains - - - -Semantics.SpikingDynamics.applyRefractoryClamp - -def -applyRefractoryClamp - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.applyRefractoryClamp - - -contains - - - -Semantics.SpikingDynamics.membraneReadyToFire - -def -membraneReadyToFire - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.membraneReadyToFire - - -contains - - - -Semantics.SpikingDynamics.classifySpikingRegime - -def -classifySpikingRegime - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.classifySpikingRegime - - -contains - - - -Semantics.SpikingDynamics.gatedIntensity - -def -gatedIntensity - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.gatedIntensity - - -contains - - - -Semantics.SpikingDynamics.nextEventFromNode - -def -nextEventFromNode - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.nextEventFromNode - - -contains - - - -Semantics.SpikingDynamics.updateNodeAfterEmission - -def -updateNodeAfterEmission - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.updateNodeAfterEmission - - -contains - - - -Semantics.SpikingDynamics.processSpikeTransition - -def -processSpikeTransition - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.processSpikeTransition - - -contains - - - -Semantics.SpikingDynamics.wifiSpikeHook - -def -wifiSpikeHook - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.wifiSpikeHook - - -contains - - - -Semantics.SpikingDynamics.opticalSpikeHook - -def -opticalSpikeHook - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.opticalSpikeHook - - -contains - - - -Semantics.SpikingDynamics.defaultTemporalSpikeHook - -def -defaultTemporalSpikeHook - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.defaultTemporalSpikeHook - - -contains - - - -Semantics.SpikingDynamics.flatlandRegionHook - -def -flatlandRegionHook - - - -Semantics.SpikingDynamics->Semantics.SpikingDynamics.flatlandRegionHook - - -contains - - - -Semantics.StochasticBurgersPDE - -module -StochasticBurgersPDE - - - -Semantics.StochasticBurgersPDE.stochastic_energy_correspondence - -theorem -stochastic_energy_correspondence - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.stochastic_energy_correspondence - - -contains - - - -Semantics.StochasticBurgersPDE.stochastic_mass_correspondence - -theorem -stochastic_mass_correspondence - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.stochastic_mass_correspondence - - -contains - - - -Semantics.StochasticBurgersPDE.lcgNext - -def -lcgNext - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.lcgNext - - -contains - - - -Semantics.StochasticBurgersPDE.generateNoiseAux - -def -generateNoiseAux - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.generateNoiseAux - - -contains - - - -Semantics.StochasticBurgersPDE.generateNoise - -def -generateNoise - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.generateNoise - - -contains - - - -Semantics.StochasticBurgersPDE.stochasticBurgersRHS - -def -stochasticBurgersRHS - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.stochasticBurgersRHS - - -contains - - - -Semantics.StochasticBurgersPDE.stepEulerMaruyama - -def -stepEulerMaruyama - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.stepEulerMaruyama - - -contains - - - -Semantics.StochasticBurgersPDE.runStepsMaruyama - -def -runStepsMaruyama - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.runStepsMaruyama - - -contains - - - -Semantics.StochasticBurgersPDE.kineticEnergy - -def -kineticEnergy - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.kineticEnergy - - -contains - - - -Semantics.StochasticBurgersPDE.noiseEnergy - -def -noiseEnergy - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.noiseEnergy - - -contains - - - -Semantics.StochasticBurgersPDE.totalEnergy - -def -totalEnergy - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.totalEnergy - - -contains - - - -Semantics.StochasticBurgersPDE.totalMass - -def -totalMass - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.totalMass - - -contains - - - -Semantics.StochasticBurgersPDE.stochasticInvariant - -def -stochasticInvariant - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.stochasticInvariant - - -contains - - - -Semantics.StochasticBurgersPDE.testStochasticState - -def -testStochasticState - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.testStochasticState - - -contains - - - -Semantics.StochasticBurgersPDE.stochasticBurgersToBraidDef - -def -stochasticBurgersToBraidDef - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.stochasticBurgersToBraidDef - - -contains - - - -Semantics.StochasticBurgersPDE.stochasticBurgersToBraid - -def -stochasticBurgersToBraid - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.stochasticBurgersToBraid - - -contains - - - -Semantics.StochasticBurgersPDE.stochasticTheoremReceipt - -def -stochasticTheoremReceipt - - - -Semantics.StochasticBurgersPDE->Semantics.StochasticBurgersPDE.stochasticTheoremReceipt - - -contains - - - -Semantics.StreamCompression - -module -StreamCompression - - - -Semantics.StreamCompression.computeEnergy - -def -computeEnergy - - - -Semantics.StreamCompression->Semantics.StreamCompression.computeEnergy - - -contains - - - -Semantics.StreamCompression.computeMean - -def -computeMean - - - -Semantics.StreamCompression->Semantics.StreamCompression.computeMean - - -contains - - - -Semantics.StreamCompression.computeVariance - -def -computeVariance - - - -Semantics.StreamCompression->Semantics.StreamCompression.computeVariance - - -contains - - - -Semantics.StreamCompression.firFilter - -def -firFilter - - - -Semantics.StreamCompression->Semantics.StreamCompression.firFilter - - -contains - - - -Semantics.StreamCompression.isPowerOfTwo - -def -isPowerOfTwo - - - -Semantics.StreamCompression->Semantics.StreamCompression.isPowerOfTwo - - -contains - - - -Semantics.StreamCompression.nextPowerOfTwo - -def -nextPowerOfTwo - - - -Semantics.StreamCompression->Semantics.StreamCompression.nextPowerOfTwo - - -contains - - - -Semantics.StreamCompression.computeFFT - -def -computeFFT - - - -Semantics.StreamCompression->Semantics.StreamCompression.computeFFT - - -contains - - - -Semantics.StreamCompression.bandEnergy - -def -bandEnergy - - - -Semantics.StreamCompression->Semantics.StreamCompression.bandEnergy - - -contains - - - -Semantics.StreamCompression.spectralRedundancy - -def -spectralRedundancy - - - -Semantics.StreamCompression->Semantics.StreamCompression.spectralRedundancy - - -contains - - - -Semantics.StreamCompression.selectCompressionMode - -def -selectCompressionMode - - - -Semantics.StreamCompression->Semantics.StreamCompression.selectCompressionMode - - -contains - - - -Semantics.StreamCompression.compressBlock - -def -compressBlock - - - -Semantics.StreamCompression->Semantics.StreamCompression.compressBlock - - -contains - - - -Semantics.StreamCompression.modeToOpcode - -def -modeToOpcode - - - -Semantics.StreamCompression->Semantics.StreamCompression.modeToOpcode - - -contains - - - -Semantics.StreamCompression.dspEnergyCost - -def -dspEnergyCost - - - -Semantics.StreamCompression->Semantics.StreamCompression.dspEnergyCost - - -contains - - - -Semantics.StreamCompression.combinedCost - -def -combinedCost - - - -Semantics.StreamCompression->Semantics.StreamCompression.combinedCost - - -contains - - - -Semantics.StreamCompression.scheduleDecompression - -def -scheduleDecompression - - - -Semantics.StreamCompression->Semantics.StreamCompression.scheduleDecompression - - -contains - - - -Semantics.StreamCompression.energyNonneg - -def -energyNonneg - - - -Semantics.StreamCompression->Semantics.StreamCompression.energyNonneg - - -contains - - - -Semantics.StreamCompression.varianceNonneg - -def -varianceNonneg - - - -Semantics.StreamCompression->Semantics.StreamCompression.varianceNonneg - - -contains - - - -Semantics.StreamCompression.redundancyBounded - -def -redundancyBounded - - - -Semantics.StreamCompression->Semantics.StreamCompression.redundancyBounded - - -contains - - - -Semantics.StreamCompression.compressionRatioAtLeastOne - -def -compressionRatioAtLeastOne - - - -Semantics.StreamCompression->Semantics.StreamCompression.compressionRatioAtLeastOne - - -contains - - - -Semantics.StreamCompression.combinedCostNonneg - -def -combinedCostNonneg - - - -Semantics.StreamCompression->Semantics.StreamCompression.combinedCostNonneg - - -contains - - - -Semantics.SubagentOrchestrator - -module -SubagentOrchestrator - - - -Semantics.SubagentOrchestrator.toString - -def -toString - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.toString - - -contains - - - -Semantics.SubagentOrchestrator.moduleCount - -def -moduleCount - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.moduleCount - - -contains - - - -Semantics.SubagentOrchestrator.all - -def -all - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.all - - -contains - - - -Semantics.SubagentOrchestrator.moduleRegistry - -def -moduleRegistry - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.moduleRegistry - - -contains - - - -Semantics.SubagentOrchestrator.calculatePriority - -def -calculatePriority - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.calculatePriority - - -contains - - - -Semantics.SubagentOrchestrator.domainExpertAnalyze - -def -domainExpertAnalyze - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.domainExpertAnalyze - - -contains - - - -Semantics.SubagentOrchestrator.codebaseExpertAnalyze - -def -codebaseExpertAnalyze - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.codebaseExpertAnalyze - - -contains - - - -Semantics.SubagentOrchestrator.integrationAnalystAnalyze - -def -integrationAnalystAnalyze - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.integrationAnalystAnalyze - - -contains - - - -Semantics.SubagentOrchestrator.prioritySchedulerFilter - -def -prioritySchedulerFilter - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.prioritySchedulerFilter - - -contains - - - -Semantics.SubagentOrchestrator.runSubagentAnalysis - -def -runSubagentAnalysis - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.runSubagentAnalysis - - -contains - - - -Semantics.SubagentOrchestrator.currentSubagentSystem - -def -currentSubagentSystem - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.currentSubagentSystem - - -contains - - - -Semantics.SubagentOrchestrator.improvementMap - -def -improvementMap - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.improvementMap - - -contains - - - -Semantics.SubagentOrchestrator.priority1_FAMMThermoBridge - -def -priority1_FAMMThermoBridge - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.priority1_FAMMThermoBridge - - -contains - - - -Semantics.SubagentOrchestrator.priority2_ExpSpatialHybrid - -def -priority2_ExpSpatialHybrid - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.priority2_ExpSpatialHybrid - - -contains - - - -Semantics.SubagentOrchestrator.priority3_MetatypeTheorem - -def -priority3_MetatypeTheorem - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.priority3_MetatypeTheorem - - -contains - - - -Semantics.SubagentOrchestrator.priority4_ImportGraph - -def -priority4_ImportGraph - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.priority4_ImportGraph - - -contains - - - -Semantics.SubagentOrchestrator.stepForward - -def -stepForward - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.stepForward - - -contains - - - -Semantics.SubagentOrchestrator.isDispatchable - -def -isDispatchable - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.isDispatchable - - -contains - - - -Semantics.SubagentOrchestrator.isComplete - -def -isComplete - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.isComplete - - -contains - - - -Semantics.SubagentOrchestrator.isFailed - -def -isFailed - - - -Semantics.SubagentOrchestrator->Semantics.SubagentOrchestrator.isFailed - - -contains - - - -Semantics.Substrate - -module -Substrate - - - -Semantics.Substrate.dnaHybridizationPreservesKpz - -theorem -dnaHybridizationPreservesKpz - - - -Semantics.Substrate->Semantics.Substrate.dnaHybridizationPreservesKpz - - -contains - - - -Semantics.Substrate.dnaMethylationPreservesDp - -theorem -dnaMethylationPreservesDp - - - -Semantics.Substrate->Semantics.Substrate.dnaMethylationPreservesDp - - -contains - - - -Semantics.Substrate.toU8_total - -theorem -toU8_total - - - -Semantics.Substrate->Semantics.Substrate.toU8_total - - -contains - - - -Semantics.Substrate.fromU8_total - -theorem -fromU8_total - - - -Semantics.Substrate->Semantics.Substrate.fromU8_total - - -contains - - - -Semantics.Substrate.operandCount_total - -theorem -operandCount_total - - - -Semantics.Substrate->Semantics.Substrate.operandCount_total - - -contains - - - -Semantics.Substrate.stackConsumption_total - -theorem -stackConsumption_total - - - -Semantics.Substrate->Semantics.Substrate.stackConsumption_total - - -contains - - - -Semantics.Substrate.encode_total - -theorem -encode_total - - - -Semantics.Substrate->Semantics.Substrate.encode_total - - -contains - - - -Semantics.Substrate.decode_total - -theorem -decode_total - - - -Semantics.Substrate->Semantics.Substrate.decode_total - - -contains - - - -Semantics.Substrate.new_total - -theorem -new_total - - - -Semantics.Substrate->Semantics.Substrate.new_total - - -contains - - - -Semantics.Substrate.withOperand_total - -theorem -withOperand_total - - - -Semantics.Substrate->Semantics.Substrate.withOperand_total - - -contains - - - -Semantics.Substrate.fromU8_toU8 - -theorem -fromU8_toU8 - - - -Semantics.Substrate->Semantics.Substrate.fromU8_toU8 - - -contains - - - -Semantics.Substrate.dnaHybridizationKPZ - -def -dnaHybridizationKPZ - - - -Semantics.Substrate->Semantics.Substrate.dnaHybridizationKPZ - - -contains - - - -Semantics.Substrate.dnaMethylationRatchet - -def -dnaMethylationRatchet - - - -Semantics.Substrate->Semantics.Substrate.dnaMethylationRatchet - - -contains - - - -Semantics.Substrate.exampleDNASemanticObject - -def -exampleDNASemanticObject - - - -Semantics.Substrate->Semantics.Substrate.exampleDNASemanticObject - - -contains - - - -Semantics.Substrate.toU8 - -def -toU8 - - - -Semantics.Substrate->Semantics.Substrate.toU8 - - -contains - - - -Semantics.Substrate.fromU8 - -def -fromU8 - - - -Semantics.Substrate->Semantics.Substrate.fromU8 - - -contains - - - -Semantics.Substrate.operandCount - -def -operandCount - - - -Semantics.Substrate->Semantics.Substrate.operandCount - - -contains - - - -Semantics.Substrate.stackConsumption - -def -stackConsumption - - - -Semantics.Substrate->Semantics.Substrate.stackConsumption - - -contains - - - -Semantics.Substrate.new - -def -new - - - -Semantics.Substrate->Semantics.Substrate.new - - -contains - - - -Semantics.Substrate.withOperand - -def -withOperand - - - -Semantics.Substrate->Semantics.Substrate.withOperand - - -contains - - - -Semantics.Substrate.encode - -def -encode - - - -Semantics.Substrate->Semantics.Substrate.encode - - -contains - - - -Semantics.Substrate.decode - -def -decode - - - -Semantics.Substrate->Semantics.Substrate.decode - - -contains - - - -Semantics.Substrate.empty - -def -empty - - - -Semantics.Substrate->Semantics.Substrate.empty - - -contains - - - -Semantics.Substrate.emit - -def -emit - - - -Semantics.Substrate->Semantics.Substrate.emit - - -contains - - - -Semantics.Universality - -module -Universality - - - -Semantics.Substrate->Semantics.Universality - - -imports - - - -Semantics.SubstrateProfile - -module -SubstrateProfile - - - -Semantics.SubstrateProfile->Semantics.FixedPoint - - -imports - - - -Semantics.SubstrateProfile.supportsBand - -def -supportsBand - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.supportsBand - - -contains - - - -Semantics.SubstrateProfile.supportsBoundaryKind - -def -supportsBoundaryKind - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.supportsBoundaryKind - - -contains - - - -Semantics.SubstrateProfile.supportsOrientation - -def -supportsOrientation - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.supportsOrientation - - -contains - - - -Semantics.SubstrateProfile.supportsDimensions - -def -supportsDimensions - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.supportsDimensions - - -contains - - - -Semantics.SubstrateProfile.supportsFluidity - -def -supportsFluidity - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.supportsFluidity - - -contains - - - -Semantics.SubstrateProfile.supportsDelayMass - -def -supportsDelayMass - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.supportsDelayMass - - -contains - - - -Semantics.SubstrateProfile.compatibleWithBoundary - -def -compatibleWithBoundary - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.compatibleWithBoundary - - -contains - - - -Semantics.SubstrateProfile.compatibleWithSample - -def -compatibleWithSample - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.compatibleWithSample - - -contains - - - -Semantics.SubstrateProfile.compatibleWithLink - -def -compatibleWithLink - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.compatibleWithLink - - -contains - - - -Semantics.SubstrateProfile.compatibleWithRegionAssignment - -def -compatibleWithRegionAssignment - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.compatibleWithRegionAssignment - - -contains - - - -Semantics.SubstrateProfile.substrateAdmitsTransition - -def -substrateAdmitsTransition - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.substrateAdmitsTransition - - -contains - - - -Semantics.SubstrateProfile.fpgaSpectralSupport - -def -fpgaSpectralSupport - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.fpgaSpectralSupport - - -contains - - - -Semantics.SubstrateProfile.fpgaBoundarySupport - -def -fpgaBoundarySupport - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.fpgaBoundarySupport - - -contains - - - -Semantics.SubstrateProfile.fpgaCausalSupport - -def -fpgaCausalSupport - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.fpgaCausalSupport - - -contains - - - -Semantics.SubstrateProfile.fpgaSubstrateProfile - -def -fpgaSubstrateProfile - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.fpgaSubstrateProfile - - -contains - - - -Semantics.SubstrateProfile.softwareResearchSubstrateProfile - -def -softwareResearchSubstrateProfile - - - -Semantics.SubstrateProfile->Semantics.SubstrateProfile.softwareResearchSubstrateProfile - - -contains - - - -Semantics.Support.NetworkUtilization - -module -NetworkUtilization - - - -Semantics.Support.NetworkUtilization.all_nodes_online_iff_all_operational - -theorem -all_nodes_online_iff_all_operational - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.all_nodes_online_iff_all_operational - - -contains - - - -Semantics.Support.NetworkUtilization.resource_utilization_guarantee - -theorem -resource_utilization_guarantee - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.resource_utilization_guarantee - - -contains - - - -Semantics.Support.NetworkUtilization.zero - -def -zero - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.zero - - -contains - - - -Semantics.Support.NetworkUtilization.one - -def -one - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.one - - -contains - - - -Semantics.Support.NetworkUtilization.ofNat - -def -ofNat - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.ofNat - - -contains - - - -Semantics.Support.NetworkUtilization.online - -def -online - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.online - - -contains - - - -Semantics.Support.NetworkUtilization.offline - -def -offline - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.offline - - -contains - - - -Semantics.Support.NetworkUtilization.error - -def -error - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.error - - -contains - - - -Semantics.Support.NetworkUtilization.defaultStatus - -def -defaultStatus - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.defaultStatus - - -contains - - - -Semantics.Support.NetworkUtilization.defaultAvailability - -def -defaultAvailability - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.defaultAvailability - - -contains - - - -Semantics.Support.NetworkUtilization.defaultAllocation - -def -defaultAllocation - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.defaultAllocation - - -contains - - - -Semantics.Support.NetworkUtilization.defaultResult - -def -defaultResult - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.defaultResult - - -contains - - - -Semantics.Support.NetworkUtilization.checkAllSystemsOperational - -def -checkAllSystemsOperational - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.checkAllSystemsOperational - - -contains - - - -Semantics.Support.NetworkUtilization.VerificationResult - -def -VerificationResult - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.VerificationResult - - -contains - - - -Semantics.Support.NetworkUtilization->Semantics.Support.NetworkUtilization.VerificationResult - - -contains - - - -Semantics.Surface - -module -Surface - - - -Semantics.Surface.receiptForBindClass - -theorem -receiptForBindClass - - - -Semantics.Surface->Semantics.Surface.receiptForBindClass - - -contains - - - -Semantics.Surface.transportBoundaryIff - -theorem -transportBoundaryIff - - - -Semantics.Surface->Semantics.Surface.transportBoundaryIff - - -contains - - - -Semantics.Surface.jsonlConnectorIsInformational - -theorem -jsonlConnectorIsInformational - - - -Semantics.Surface->Semantics.Surface.jsonlConnectorIsInformational - - -contains - - - -Semantics.Surface.geometricSurfaceIsNotTransport - -theorem -geometricSurfaceIsNotTransport - - - -Semantics.Surface->Semantics.Surface.geometricSurfaceIsNotTransport - - -contains - - - -Semantics.Surface.metadataComputationIsInformational - -theorem -metadataComputationIsInformational - - - -Semantics.Surface->Semantics.Surface.metadataComputationIsInformational - - -contains - - - -Semantics.Surface.webrtcWaveformIsTransport - -theorem -webrtcWaveformIsTransport - - - -Semantics.Surface->Semantics.Surface.webrtcWaveformIsTransport - - -contains - - - -Semantics.Surface.passiveComputationIsTransport - -theorem -passiveComputationIsTransport - - - -Semantics.Surface->Semantics.Surface.passiveComputationIsTransport - - -contains - - - -Semantics.Surface.phiShellEncodingIsGeometric - -theorem -phiShellEncodingIsGeometric - - - -Semantics.Surface->Semantics.Surface.phiShellEncodingIsGeometric - - -contains - - - -Semantics.Surface.goldenAngleEncodingIsGeometric - -theorem -goldenAngleEncodingIsGeometric - - - -Semantics.Surface->Semantics.Surface.goldenAngleEncodingIsGeometric - - -contains - - - -Semantics.Surface.fibonacciEncodingIsInformational - -theorem -fibonacciEncodingIsInformational - - - -Semantics.Surface->Semantics.Surface.fibonacciEncodingIsInformational - - -contains - - - -Semantics.Surface.bindClass - -def -bindClass - - - -Semantics.Surface->Semantics.Surface.bindClass - - -contains - - - -Semantics.Surface.isTransportBoundary - -def -isTransportBoundary - - - -Semantics.Surface->Semantics.Surface.isTransportBoundary - - -contains - - - -Semantics.Surface.invariantTag - -def -invariantTag - - - -Semantics.Surface->Semantics.Surface.invariantTag - - -contains - - - -Semantics.Surface.receiptFor - -def -receiptFor - - - -Semantics.Surface->Semantics.Surface.receiptFor - - -contains - - - -Semantics.SurfaceCore - -module -SurfaceCore - - - -Semantics.Surface->Semantics.SurfaceCore - - -imports - - - -Semantics.SurfaceCore.surfaceInvariant - -def -surfaceInvariant - - - -Semantics.SurfaceCore->Semantics.SurfaceCore.surfaceInvariant - - -contains - - - -Semantics.SurfaceCore.divergence - -def -divergence - - - -Semantics.SurfaceCore->Semantics.SurfaceCore.divergence - - -contains - - - -Semantics.SurfaceCore.curvature - -def -curvature - - - -Semantics.SurfaceCore->Semantics.SurfaceCore.curvature - - -contains - - - -Semantics.SurfaceCore.stabilityClass - -def -stabilityClass - - - -Semantics.SurfaceCore->Semantics.SurfaceCore.stabilityClass - - -contains - - - -Semantics.SurfaceCore.exampleSurface - -def -exampleSurface - - - -Semantics.SurfaceCore->Semantics.SurfaceCore.exampleSurface - - -contains - - - -Semantics.SwarmAnalysis - -module -SwarmAnalysis - - - -Semantics.SwarmAnalysis.resolveDomains - -def -resolveDomains - - - -Semantics.SwarmAnalysis->Semantics.SwarmAnalysis.resolveDomains - - -contains - - - -Semantics.SwarmAnalysis.resolveSubdomains - -def -resolveSubdomains - - - -Semantics.SwarmAnalysis->Semantics.SwarmAnalysis.resolveSubdomains - - -contains - - - -Semantics.SwarmAnalysis.resolveTensorTypes - -def -resolveTensorTypes - - - -Semantics.SwarmAnalysis->Semantics.SwarmAnalysis.resolveTensorTypes - - -contains - - - -Semantics.SwarmAnalysis.deepCodebaseAnalysis - -def -deepCodebaseAnalysis - - - -Semantics.SwarmAnalysis->Semantics.SwarmAnalysis.deepCodebaseAnalysis - - -contains - - - -Semantics.SwarmAnalysis.createManifoldStructure - -def -createManifoldStructure - - - -Semantics.SwarmAnalysis->Semantics.SwarmAnalysis.createManifoldStructure - - -contains - - - -Semantics.SwarmAnalysis.deepCodebaseAnalysisWithManifold - -def -deepCodebaseAnalysisWithManifold - - - -Semantics.SwarmAnalysis->Semantics.SwarmAnalysis.deepCodebaseAnalysisWithManifold - - -contains - - - -Semantics.UniversalCoupling - -module -UniversalCoupling - - - -Semantics.SwarmAnalysis->Semantics.UniversalCoupling - - -imports - - - -Semantics.SwarmCodeGeneration - -module -SwarmCodeGeneration - - - -Semantics.SwarmCodeGeneration.increment_increments - -theorem -increment_increments - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.increment_increments - - -contains - - - -Semantics.SwarmCodeGeneration.sphere_euler_characteristic - -theorem -sphere_euler_characteristic - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.sphere_euler_characteristic - - -contains - - - -Semantics.SwarmCodeGeneration.swarmSynthesizeLean4Counter - -def -swarmSynthesizeLean4Counter - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.swarmSynthesizeLean4Counter - - -contains - - - -Semantics.SwarmCodeGeneration.generatedLean4Counter - -def -generatedLean4Counter - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.generatedLean4Counter - - -contains - - - -Semantics.SwarmCodeGeneration.increment - -def -increment - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.increment - - -contains - - - -Semantics.SwarmCodeGeneration.swarmSynthesizeLean4GeometricPrimitive - -def -swarmSynthesizeLean4GeometricPrimitive - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.swarmSynthesizeLean4GeometricPrimitive - - -contains - - - -Semantics.SwarmCodeGeneration.generatedLean4Sphere - -def -generatedLean4Sphere - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.generatedLean4Sphere - - -contains - - - -Semantics.SwarmCodeGeneration.eulerCharacteristic - -def -eulerCharacteristic - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.eulerCharacteristic - - -contains - - - -Semantics.SwarmCodeGeneration.initializePipeline - -def -initializePipeline - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.initializePipeline - - -contains - - - -Semantics.SwarmCodeGeneration.advancePipeline - -def -advancePipeline - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.advancePipeline - - -contains - - - -Semantics.SwarmCodeGeneration.executePipelineStage - -def -executePipelineStage - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.executePipelineStage - - -contains - - - -Semantics.SwarmCodeGeneration.runPipeline - -def -runPipeline - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.runPipeline - - -contains - - - -Semantics.SwarmCodeGeneration.initializeSwarm - -def -initializeSwarm - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.initializeSwarm - - -contains - - - -Semantics.SwarmCodeGeneration.sendMessage - -def -sendMessage - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.sendMessage - - -contains - - - -Semantics.SwarmCodeGeneration.processMessages - -def -processMessages - - - -Semantics.SwarmCodeGeneration->Semantics.SwarmCodeGeneration.processMessages - - -contains - - - -Semantics.SwarmCodeReview - -module -SwarmCodeReview - - - -Semantics.SwarmCodeReview->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.SwarmCodeReview.zero - -def -zero - - - -Semantics.SwarmCodeReview->Semantics.SwarmCodeReview.zero - - -contains - - - -Semantics.SwarmCodeReview.one - -def -one - - - -Semantics.SwarmCodeReview->Semantics.SwarmCodeReview.one - - -contains - - - -Semantics.SwarmCodeReview.ofNat - -def -ofNat - - - -Semantics.SwarmCodeReview->Semantics.SwarmCodeReview.ofNat - - -contains - - - -Semantics.SwarmCodeReview.toNat - -def -toNat - - - -Semantics.SwarmCodeReview->Semantics.SwarmCodeReview.toNat - - -contains - - - -Semantics.SwarmCodeReview.exampleReport - -def -exampleReport - - - -Semantics.SwarmCodeReview->Semantics.SwarmCodeReview.exampleReport - - -contains - - - -Semantics.SwarmCompetition - -module -SwarmCompetition - - - -Semantics.SwarmCompetition->Semantics.FixedPoint - - -imports - - - -Semantics.SwarmCompetition.runSampleCompetition - -def -runSampleCompetition - - - -Semantics.SwarmCompetition->Semantics.SwarmCompetition.runSampleCompetition - - -contains - - - -Semantics.SwarmDesignReview - -module -SwarmDesignReview - - - -Semantics.SwarmDesignReview.analyzeCurvatureUtilization - -def -analyzeCurvatureUtilization - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.analyzeCurvatureUtilization - - -contains - - - -Semantics.SwarmDesignReview.analyzeHierarchyEfficiency - -def -analyzeHierarchyEfficiency - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.analyzeHierarchyEfficiency - - -contains - - - -Semantics.SwarmDesignReview.analyzeMutationAdaptivity - -def -analyzeMutationAdaptivity - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.analyzeMutationAdaptivity - - -contains - - - -Semantics.SwarmDesignReview.computeOverallGeometricScore - -def -computeOverallGeometricScore - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.computeOverallGeometricScore - - -contains - - - -Semantics.SwarmDesignReview.curvatureAnalystAnalyze - -def -curvatureAnalystAnalyze - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.curvatureAnalystAnalyze - - -contains - - - -Semantics.SwarmDesignReview.hierarchyOptimizerAnalyze - -def -hierarchyOptimizerAnalyze - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.hierarchyOptimizerAnalyze - - -contains - - - -Semantics.SwarmDesignReview.mutationTunerAnalyze - -def -mutationTunerAnalyze - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.mutationTunerAnalyze - - -contains - - - -Semantics.SwarmDesignReview.geometricReviewerAnalyze - -def -geometricReviewerAnalyze - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.geometricReviewerAnalyze - - -contains - - - -Semantics.SwarmDesignReview.analyzeOpcodeGeometricUtilization - -def -analyzeOpcodeGeometricUtilization - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.analyzeOpcodeGeometricUtilization - - -contains - - - -Semantics.SwarmDesignReview.analyzeRegisterGeometricEfficiency - -def -analyzeRegisterGeometricEfficiency - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.analyzeRegisterGeometricEfficiency - - -contains - - - -Semantics.SwarmDesignReview.isaAnalystAnalyze - -def -isaAnalystAnalyze - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.isaAnalystAnalyze - - -contains - - - -Semantics.SwarmDesignReview.computeConsensus - -def -computeConsensus - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.computeConsensus - - -contains - - - -Semantics.SwarmDesignReview.aggregateFindings - -def -aggregateFindings - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.aggregateFindings - - -contains - - - -Semantics.SwarmDesignReview.runAgentAnalysis - -def -runAgentAnalysis - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.runAgentAnalysis - - -contains - - - -Semantics.SwarmDesignReview.runSwarmAnalysis - -def -runSwarmAnalysis - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.runSwarmAnalysis - - -contains - - - -Semantics.SwarmDesignReview.initializeSwarm - -def -initializeSwarm - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.initializeSwarm - - -contains - - - -Semantics.SwarmDesignReview.runISASwarmAnalysis - -def -runISASwarmAnalysis - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.runISASwarmAnalysis - - -contains - - - -Semantics.SwarmDesignReview.extractGeometricParams - -def -extractGeometricParams - - - -Semantics.SwarmDesignReview->Semantics.SwarmDesignReview.extractGeometricParams - - -contains - - - -Semantics.SwarmENEMiddleware - -module -SwarmENEMiddleware - - - -Semantics.SwarmENEMiddleware.hitCountIncreases - -theorem -hitCountIncreases - - - -Semantics.SwarmENEMiddleware->Semantics.SwarmENEMiddleware.hitCountIncreases - - -contains - - - -Semantics.SwarmENEMiddleware.zero - -def -zero - - - -Semantics.SwarmENEMiddleware->Semantics.SwarmENEMiddleware.zero - - -contains - - - -Semantics.SwarmENEMiddleware.one - -def -one - - - -Semantics.SwarmENEMiddleware->Semantics.SwarmENEMiddleware.one - - -contains - - - -Semantics.SwarmENEMiddleware.ofFrac - -def -ofFrac - - - -Semantics.SwarmENEMiddleware->Semantics.SwarmENEMiddleware.ofFrac - - -contains - - - -Semantics.SwarmENEMiddleware.cosineSimilarity - -def -cosineSimilarity - - - -Semantics.SwarmENEMiddleware->Semantics.SwarmENEMiddleware.cosineSimilarity - - -contains - - - -Semantics.SwarmENEMiddleware.isCacheValid - -def -isCacheValid - - - -Semantics.SwarmENEMiddleware->Semantics.SwarmENEMiddleware.isCacheValid - - -contains - - - -Semantics.SwarmENEMiddleware.incrementHitCount - -def -incrementHitCount - - - -Semantics.SwarmENEMiddleware->Semantics.SwarmENEMiddleware.incrementHitCount - - -contains - - - -Semantics.SwarmENEMiddleware.makeRoutingDecision - -def -makeRoutingDecision - - - -Semantics.SwarmENEMiddleware->Semantics.SwarmENEMiddleware.makeRoutingDecision - - -contains - - - -Semantics.SwarmMoERewiring - -module -SwarmMoERewiring - - - -Semantics.SwarmMoERewiring.gatingWeightsValidAfterRewiring - -theorem -gatingWeightsValidAfterRewiring - - - -Semantics.SwarmMoERewiring->Semantics.SwarmMoERewiring.gatingWeightsValidAfterRewiring - - -contains - - - -Semantics.SwarmMoERewiring.consensusBounded - -theorem -consensusBounded - - - -Semantics.SwarmMoERewiring->Semantics.SwarmMoERewiring.consensusBounded - - -contains - - - -Semantics.SwarmMoERewiring.poolSizeMonotonicAdd - -theorem -poolSizeMonotonicAdd - - - -Semantics.SwarmMoERewiring->Semantics.SwarmMoERewiring.poolSizeMonotonicAdd - - -contains - - - -Semantics.SwarmMoERewiring.calculateOptimalGatingWeight - -def -calculateOptimalGatingWeight - - - -Semantics.SwarmMoERewiring->Semantics.SwarmMoERewiring.calculateOptimalGatingWeight - - -contains - - - -Semantics.SwarmMoERewiring.rewireExpert - -def -rewireExpert - - - -Semantics.SwarmMoERewiring->Semantics.SwarmMoERewiring.rewireExpert - - -contains - - - -Semantics.SwarmMoERewiring.calculateConsensus - -def -calculateConsensus - - - -Semantics.SwarmMoERewiring->Semantics.SwarmMoERewiring.calculateConsensus - - -contains - - - -Semantics.SwarmMoERewiring.consensusReached - -def -consensusReached - - - -Semantics.SwarmMoERewiring->Semantics.SwarmMoERewiring.consensusReached - - -contains - - - -Semantics.SwarmMoERewiring.addExpertFromSwarm - -def -addExpertFromSwarm - - - -Semantics.SwarmMoERewiring->Semantics.SwarmMoERewiring.addExpertFromSwarm - - -contains - - - -Semantics.SwarmMoERewiring.calculateExpertPerformance - -def -calculateExpertPerformance - - - -Semantics.SwarmMoERewiring->Semantics.SwarmMoERewiring.calculateExpertPerformance - - -contains - - - -Semantics.SwarmMoERewiring.pruneUnderperformingExperts - -def -pruneUnderperformingExperts - - - -Semantics.SwarmMoERewiring->Semantics.SwarmMoERewiring.pruneUnderperformingExperts - - -contains - - - -Semantics.SwarmMoERewiring.executeSwarmMoEAction - -def -executeSwarmMoEAction - - - -Semantics.SwarmMoERewiring->Semantics.SwarmMoERewiring.executeSwarmMoEAction - - -contains - - - -Semantics.SwarmMoERewiring.completeSurfaceRewrite - -def -completeSurfaceRewrite - - - -Semantics.SwarmMoERewiring->Semantics.SwarmMoERewiring.completeSurfaceRewrite - - -contains - - - -Semantics.SwarmMoERewiring.domainAwareSurfaceRewrite - -def -domainAwareSurfaceRewrite - - - -Semantics.SwarmMoERewiring->Semantics.SwarmMoERewiring.domainAwareSurfaceRewrite - - -contains - - - -Semantics.SwarmQueryAPI - -module -SwarmQueryAPI - - - -Semantics.SwarmQueryAPI.handle_respects_limit - -theorem -handle_respects_limit - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.handle_respects_limit - - -contains - - - -Semantics.SwarmQueryAPI.handle_subset_of_filtered - -theorem -handle_subset_of_filtered - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.handle_subset_of_filtered - - -contains - - - -Semantics.SwarmQueryAPI.lean_query_routes_to_mathdb - -theorem -lean_query_routes_to_mathdb - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.lean_query_routes_to_mathdb - - -contains - - - -Semantics.SwarmQueryAPI.QueryLimit - -def -QueryLimit - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.QueryLimit - - -contains - - - -Semantics.SwarmQueryAPI.SwarmQueryRequest - -def -SwarmQueryRequest - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.SwarmQueryRequest - - -contains - - - -Semantics.SwarmQueryAPI.getStats - -def -getStats - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.getStats - - -contains - - - -Semantics.SwarmQueryAPI.chooseSubsystem - -def -chooseSubsystem - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.chooseSubsystem - - -contains - - - -Semantics.SwarmQueryAPI.serializeQuery - -def -serializeQuery - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.serializeQuery - - -contains - - - -Semantics.SwarmQueryAPI.toRoutedQuery - -def -toRoutedQuery - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.toRoutedQuery - - -contains - - - -Semantics.SwarmQueryAPI.confidenceFromResults - -def -confidenceFromResults - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.confidenceFromResults - - -contains - - - -Semantics.SwarmQueryAPI.generateSuggestions - -def -generateSuggestions - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.generateSuggestions - - -contains - - - -Semantics.SwarmQueryAPI.applyFilters - -def -applyFilters - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.applyFilters - - -contains - - - -Semantics.SwarmQueryAPI.applyLimit - -def -applyLimit - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.applyLimit - - -contains - - - -Semantics.SwarmQueryAPI.handle - -def -handle - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.handle - - -contains - - - -Semantics.SwarmQueryAPI.runViaOrchestrator - -def -runViaOrchestrator - - - -Semantics.SwarmQueryAPI->Semantics.SwarmQueryAPI.runViaOrchestrator - - -contains - - - -Semantics.SwarmRGFlow - -module -SwarmRGFlow - - - -Semantics.SwarmRGFlow.zero - -def -zero - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.zero - - -contains - - - -Semantics.SwarmRGFlow.drakeBudgetD - -def -drakeBudgetD - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.drakeBudgetD - - -contains - - - -Semantics.SwarmRGFlow.driftBarrierB - -def -driftBarrierB - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.driftBarrierB - - -contains - - - -Semantics.SwarmRGFlow.lambdaParam - -def -lambdaParam - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.lambdaParam - - -contains - - - -Semantics.SwarmRGFlow.mStar - -def -mStar - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.mStar - - -contains - - - -Semantics.SwarmRGFlow.epsilonQ - -def -epsilonQ - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.epsilonQ - - -contains - - - -Semantics.SwarmRGFlow.maxSigmaQ - -def -maxSigmaQ - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.maxSigmaQ - - -contains - - - -Semantics.SwarmRGFlow.betaMu - -def -betaMu - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.betaMu - - -contains - - - -Semantics.SwarmRGFlow.betaRho - -def -betaRho - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.betaRho - - -contains - - - -Semantics.SwarmRGFlow.betaC - -def -betaC - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.betaC - - -contains - - - -Semantics.SwarmRGFlow.betaSigma - -def -betaSigma - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.betaSigma - - -contains - - - -Semantics.SwarmRGFlow.betaNe - -def -betaNe - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.betaNe - - -contains - - - -Semantics.SwarmRGFlow.betaMScale - -def -betaMScale - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.betaMScale - - -contains - - - -Semantics.SwarmRGFlow.betaFunction - -def -betaFunction - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.betaFunction - - -contains - - - -Semantics.SwarmRGFlow.drakeOk - -def -drakeOk - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.drakeOk - - -contains - - - -Semantics.SwarmRGFlow.driftOk - -def -driftOk - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.driftOk - - -contains - - - -Semantics.SwarmRGFlow.errorOk - -def -errorOk - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.errorOk - - -contains - - - -Semantics.SwarmRGFlow.isLawful - -def -isLawful - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.isLawful - - -contains - - - -Semantics.SwarmRGFlow.computeAttractorId - -def -computeAttractorId - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.computeAttractorId - - -contains - - - -Semantics.SwarmRGFlow.simulateRGFlow - -def -simulateRGFlow - - - -Semantics.SwarmRGFlow->Semantics.SwarmRGFlow.simulateRGFlow - - -contains - - - -Semantics.SwarmTopology - -module -SwarmTopology - - - -Semantics.SwarmTopology->Mathlib.Data.Nat.Basic - - -imports - - - -Semantics.SwarmTopology.zero - -def -zero - - - -Semantics.SwarmTopology->Semantics.SwarmTopology.zero - - -contains - - - -Semantics.SwarmTopology.one - -def -one - - - -Semantics.SwarmTopology->Semantics.SwarmTopology.one - - -contains - - - -Semantics.SwarmTopology.ofNat - -def -ofNat - - - -Semantics.SwarmTopology->Semantics.SwarmTopology.ofNat - - -contains - - - -Semantics.SwarmTopology.toNat - -def -toNat - - - -Semantics.SwarmTopology->Semantics.SwarmTopology.toNat - - -contains - - - -Semantics.SwarmTopology.ofFrac - -def -ofFrac - - - -Semantics.SwarmTopology->Semantics.SwarmTopology.ofFrac - - -contains - - - -Semantics.SwarmTopology.abs - -def -abs - - - -Semantics.SwarmTopology->Semantics.SwarmTopology.abs - - -contains - - - -Semantics.SwarmTopology.runSampleAnalysis - -def -runSampleAnalysis - - - -Semantics.SwarmTopology->Semantics.SwarmTopology.runSampleAnalysis - - -contains - - - -Semantics.SymbologyBorrowing - -module -SymbologyBorrowing - - - -Semantics.SymbologyBorrowing->Semantics.Omindirection - - -imports - - - -Semantics.SymbologyBorrowing.apl_operator_borrow_lawful - -theorem -apl_operator_borrow_lawful - - - -Semantics.SymbologyBorrowing->Semantics.SymbologyBorrowing.apl_operator_borrow_lawful - - -contains - - - -Semantics.SymbologyBorrowing.copied_glyph_is_not_lawful - -theorem -copied_glyph_is_not_lawful - - - -Semantics.SymbologyBorrowing->Semantics.SymbologyBorrowing.copied_glyph_is_not_lawful - - -contains - - - -Semantics.SymbologyBorrowing.aesthetic_overhead_not_promotable - -theorem -aesthetic_overhead_not_promotable - - - -Semantics.SymbologyBorrowing->Semantics.SymbologyBorrowing.aesthetic_overhead_not_promotable - - -contains - - - -Semantics.SymbologyBorrowing.copied_glyph_not_promotable - -theorem -copied_glyph_not_promotable - - - -Semantics.SymbologyBorrowing->Semantics.SymbologyBorrowing.copied_glyph_not_promotable - - -contains - - - -Semantics.SymbologyBorrowing.compact_route_beats_baseline - -theorem -compact_route_beats_baseline - - - -Semantics.SymbologyBorrowing->Semantics.SymbologyBorrowing.compact_route_beats_baseline - - -contains - - - -Semantics.SymbologyBorrowing.aesthetic_route_fails_byte_law - -theorem -aesthetic_route_fails_byte_law - - - -Semantics.SymbologyBorrowing->Semantics.SymbologyBorrowing.aesthetic_route_fails_byte_law - - -contains - - - -Semantics.SymbologyBorrowing.promotable_borrow_is_lawful - -theorem -promotable_borrow_is_lawful - - - -Semantics.SymbologyBorrowing->Semantics.SymbologyBorrowing.promotable_borrow_is_lawful - - -contains - - - -Semantics.SymbologyBorrowing.copied_glyph_blocks_lawful_borrow - -theorem -copied_glyph_blocks_lawful_borrow - - - -Semantics.SymbologyBorrowing->Semantics.SymbologyBorrowing.copied_glyph_blocks_lawful_borrow - - -contains - - - -Semantics.SymbologyBorrowing.borrowedSymbologyLawful - -def -borrowedSymbologyLawful - - - -Semantics.SymbologyBorrowing->Semantics.SymbologyBorrowing.borrowedSymbologyLawful - - -contains - - - -Semantics.SymbologyBorrowing.borrowedSymbologyPromotable - -def -borrowedSymbologyPromotable - - - -Semantics.SymbologyBorrowing->Semantics.SymbologyBorrowing.borrowedSymbologyPromotable - - -contains - - - -Semantics.SymbologyBorrowing.byteLawHolds - -def -byteLawHolds - - - -Semantics.SymbologyBorrowing->Semantics.SymbologyBorrowing.byteLawHolds - - -contains - - - -Semantics.SymbologyBorrowing.aplOperatorBorrow - -def -aplOperatorBorrow - - - -Semantics.SymbologyBorrowing->Semantics.SymbologyBorrowing.aplOperatorBorrow - - -contains - - - -Semantics.SymbologyBorrowing.copiedFictionalGlyph - -def -copiedFictionalGlyph - - - -Semantics.SymbologyBorrowing->Semantics.SymbologyBorrowing.copiedFictionalGlyph - - -contains - - - -Semantics.SymbologyBorrowing.aestheticOverheadBorrow - -def -aestheticOverheadBorrow - - - -Semantics.SymbologyBorrowing->Semantics.SymbologyBorrowing.aestheticOverheadBorrow - - -contains - - - -Semantics.SyntheticGeneticCoding - -module -SyntheticGeneticCoding - - - -Semantics.SyntheticGeneticCoding.block512vs64 - -theorem -block512vs64 - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.block512vs64 - - -contains - - - -Semantics.SyntheticGeneticCoding.block256vs64 - -theorem -block256vs64 - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.block256vs64 - - -contains - - - -Semantics.SyntheticGeneticCoding.projectRatioToCodingQ - -def -projectRatioToCodingQ - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.projectRatioToCodingQ - - -contains - - - -Semantics.SyntheticGeneticCoding.codeSpaceSize - -def -codeSpaceSize - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.codeSpaceSize - - -contains - - - -Semantics.SyntheticGeneticCoding.code64 - -def -code64 - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.code64 - - -contains - - - -Semantics.SyntheticGeneticCoding.code512 - -def -code512 - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.code512 - - -contains - - - -Semantics.SyntheticGeneticCoding.code256 - -def -code256 - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.code256 - - -contains - - - -Semantics.SyntheticGeneticCoding.codeByte - -def -codeByte - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.codeByte - - -contains - - - -Semantics.SyntheticGeneticCoding.normalizedCapacity - -def -normalizedCapacity - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.normalizedCapacity - - -contains - - - -Semantics.SyntheticGeneticCoding.cap4 - -def -cap4 - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.cap4 - - -contains - - - -Semantics.SyntheticGeneticCoding.cap8 - -def -cap8 - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.cap8 - - -contains - - - -Semantics.SyntheticGeneticCoding.cap2 - -def -cap2 - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.cap2 - - -contains - - - -Semantics.SyntheticGeneticCoding.cap16 - -def -cap16 - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.cap16 - - -contains - - - -Semantics.SyntheticGeneticCoding.highStabilityChannel - -def -highStabilityChannel - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.highStabilityChannel - - -contains - - - -Semantics.SyntheticGeneticCoding.flexibleChannel - -def -flexibleChannel - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.flexibleChannel - - -contains - - - -Semantics.SyntheticGeneticCoding.neutralChannel - -def -neutralChannel - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.neutralChannel - - -contains - - - -Semantics.SyntheticGeneticCoding.standardCodeSystem - -def -standardCodeSystem - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.standardCodeSystem - - -contains - - - -Semantics.SyntheticGeneticCoding.extendedCodeSystem - -def -extendedCodeSystem - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.extendedCodeSystem - - -contains - - - -Semantics.SyntheticGeneticCoding.expanded512CodeSystem - -def -expanded512CodeSystem - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.expanded512CodeSystem - - -contains - - - -Semantics.SyntheticGeneticCoding.compressionPotential - -def -compressionPotential - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.compressionPotential - - -contains - - - -Semantics.SyntheticGeneticCoding.channelStabilityScore - -def -channelStabilityScore - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.channelStabilityScore - - -contains - - - -Semantics.SyntheticGeneticCoding.blockOptimizationScore - -def -blockOptimizationScore - - - -Semantics.SyntheticGeneticCoding->Semantics.SyntheticGeneticCoding.blockOptimizationScore - - -contains - - - -Semantics.TMMCP.Compression - -module -Compression - - - -Semantics.TMMCP.Compression.normalizePreservesChannelType - -theorem -normalizePreservesChannelType - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.normalizePreservesChannelType - - -contains - - - -Semantics.TMMCP.Compression.extractDeltas - -theorem -extractDeltas - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.extractDeltas - - -contains - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.extractDeltas - - -contains - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.extractDeltas - - -contains - - - -Semantics.TMMCP.Compression.deltaExtractionLengthPreservation - -theorem -deltaExtractionLengthPreservation - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.deltaExtractionLengthPreservation - - -contains - - - -Semantics.TMMCP.Compression.compressionRatioBounded - -theorem -compressionRatioBounded - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.compressionRatioBounded - - -contains - - - -Semantics.TMMCP.Compression.verificationConsistency - -theorem -verificationConsistency - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.verificationConsistency - - -contains - - - -Semantics.TMMCP.Compression.reconstructionErrorZero - -theorem -reconstructionErrorZero - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.reconstructionErrorZero - - -contains - - - -Semantics.TMMCP.Compression.normalizeChannel - -def -normalizeChannel - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.normalizeChannel - - -contains - - - -Semantics.TMMCP.Compression.hashBytes - -def -hashBytes - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.hashBytes - - -contains - - - -Semantics.TMMCP.Compression.shouldKeyframe - -def -shouldKeyframe - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.shouldKeyframe - - -contains - - - -Semantics.TMMCP.Compression.computeDelta - -def -computeDelta - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.computeDelta - - -contains - - - -Semantics.TMMCP.Compression.applyDeltaGCL - -def -applyDeltaGCL - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.applyDeltaGCL - - -contains - - - -Semantics.TMMCP.Compression.compressWithRules - -def -compressWithRules - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.compressWithRules - - -contains - - - -Semantics.TMMCP.Compression.defaultRules - -def -defaultRules - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.defaultRules - - -contains - - - -Semantics.TMMCP.Compression.quantizeResidual - -def -quantizeResidual - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.quantizeResidual - - -contains - - - -Semantics.TMMCP.Compression.verifyReconstruction - -def -verifyReconstruction - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.verifyReconstruction - - -contains - - - -Semantics.TMMCP.Compression.checkInvariant - -def -checkInvariant - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.checkInvariant - - -contains - - - -Semantics.TMMCP.Compression.computeCompressionRatio - -def -computeCompressionRatio - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.computeCompressionRatio - - -contains - - - -Semantics.TMMCP.Compression.computeReconstructionError - -def -computeReconstructionError - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.computeReconstructionError - - -contains - - - -Semantics.TMMCP.Compression.checkTimingWindow - -def -checkTimingWindow - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.checkTimingWindow - - -contains - - - -Semantics.TMMCP.Compression.checkPhasePreservation - -def -checkPhasePreservation - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.checkPhasePreservation - - -contains - - - -Semantics.TMMCP.Compression.checkChannelIntegrity - -def -checkChannelIntegrity - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.checkChannelIntegrity - - -contains - - - -Semantics.TMMCP.Compression.commitPacket - -def -commitPacket - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.commitPacket - - -contains - - - -Semantics.TMMCP.Compression.compressionPipeline - -def -compressionPipeline - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Compression.compressionPipeline - - -contains - - - -Semantics.TMMCP.Core - -module -Core - - - -Semantics.TMMCP.Compression->Semantics.TMMCP.Core - - -imports - - - -Semantics.TMMCP.Core->Semantics.FixedPoint - - -imports - - - -Semantics.TMMCP.Core.precisionTier - -def -precisionTier - - - -Semantics.TMMCP.Core->Semantics.TMMCP.Core.precisionTier - - -contains - - - -Semantics.TMMCP.Core.compressionTarget - -def -compressionTarget - - - -Semantics.TMMCP.Core->Semantics.TMMCP.Core.compressionTarget - - -contains - - - -Semantics.TMMCP.Core.channelType - -def -channelType - - - -Semantics.TMMCP.Core->Semantics.TMMCP.Core.channelType - - -contains - - - -Semantics.TMMCP.Core.timestamp - -def -timestamp - - - -Semantics.TMMCP.Core->Semantics.TMMCP.Core.timestamp - - -contains - - - -Semantics.TMMCP.Core.priority - -def -priority - - - -Semantics.TMMCP.Core->Semantics.TMMCP.Core.priority - - -contains - - - -Semantics.TMMCP.Core.absolute - -def -absolute - - - -Semantics.TMMCP.Core->Semantics.TMMCP.Core.absolute - - -contains - - - -Semantics.TMMCP.Core.byteSize - -def -byteSize - - - -Semantics.TMMCP.Core->Semantics.TMMCP.Core.byteSize - - -contains - - - -Semantics.TMMCP.Core.estimatedSize - -def -estimatedSize - - - -Semantics.TMMCP.Core->Semantics.TMMCP.Core.estimatedSize - - -contains - - - -Semantics.TMMCP.Core.requiredTrustScore - -def -requiredTrustScore - - - -Semantics.TMMCP.Core->Semantics.TMMCP.Core.requiredTrustScore - - -contains - - - -Semantics.TMMCP.Core.memoryRequirementKb - -def -memoryRequirementKb - - - -Semantics.TMMCP.Core->Semantics.TMMCP.Core.memoryRequirementKb - - -contains - - - -Semantics.TMMCP.Core.totalCost - -def -totalCost - - - -Semantics.TMMCP.Core->Semantics.TMMCP.Core.totalCost - - -contains - - - -Semantics.TMMCP.Routing - -module -Routing - - - -Semantics.TMMCP.Routing->Semantics.TMMCP.Core - - -imports - - - -Semantics.TMMCP.Routing.localRoutingSelected - -theorem -localRoutingSelected - - - -Semantics.TMMCP.Routing->Semantics.TMMCP.Routing.localRoutingSelected - - -contains - - - -Semantics.TMMCP.Routing.routingCostNonNegative - -theorem -routingCostNonNegative - - - -Semantics.TMMCP.Routing->Semantics.TMMCP.Routing.routingCostNonNegative - - -contains - - - -Semantics.TMMCP.Routing.deferFallback_witness - -theorem -deferFallback_witness - - - -Semantics.TMMCP.Routing->Semantics.TMMCP.Routing.deferFallback_witness - - -contains - - - -Semantics.TMMCP.Routing.defaultRouter - -def -defaultRouter - - - -Semantics.TMMCP.Routing->Semantics.TMMCP.Routing.defaultRouter - - -contains - - - -Semantics.TMMCP.Routing.canSatisfyLocally - -def -canSatisfyLocally - - - -Semantics.TMMCP.Routing->Semantics.TMMCP.Routing.canSatisfyLocally - - -contains - - - -Semantics.TMMCP.Routing.computeCost - -def -computeCost - - - -Semantics.TMMCP.Routing->Semantics.TMMCP.Routing.computeCost - - -contains - - - -Semantics.TMMCP.Routing.applyMorphicWeights - -def -applyMorphicWeights - - - -Semantics.TMMCP.Routing->Semantics.TMMCP.Routing.applyMorphicWeights - - -contains - - - -Semantics.TMMCP.Routing.route - -def -route - - - -Semantics.TMMCP.Routing->Semantics.TMMCP.Routing.route - - -contains - - - -Semantics.TMMCP.Verification - -module -Verification - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Core - - -imports - - - -Semantics.TMMCP.Verification.compressionTargetValid - -theorem -compressionTargetValid - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.compressionTargetValid - - -contains - - - -Semantics.TMMCP.Verification.reconstructionErrorSymmetric - -theorem -reconstructionErrorSymmetric - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.reconstructionErrorSymmetric - - -contains - - - -Semantics.TMMCP.Verification.timingWindowReflexive - -theorem -timingWindowReflexive - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.timingWindowReflexive - - -contains - - - -Semantics.TMMCP.Verification.channelIntegrityReflexive - -theorem -channelIntegrityReflexive - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.channelIntegrityReflexive - - -contains - - - -Semantics.TMMCP.Verification.receiptIntegrityDetectsTampering - -theorem -receiptIntegrityDetectsTampering - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.receiptIntegrityDetectsTampering - - -contains - - - -Semantics.TMMCP.Verification.compressionRatioInvariant - -def -compressionRatioInvariant - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.compressionRatioInvariant - - -contains - - - -Semantics.TMMCP.Verification.reconstructionErrorInvariant - -def -reconstructionErrorInvariant - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.reconstructionErrorInvariant - - -contains - - - -Semantics.TMMCP.Verification.timingAdmissibilityInvariant - -def -timingAdmissibilityInvariant - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.timingAdmissibilityInvariant - - -contains - - - -Semantics.TMMCP.Verification.phaseAlignmentInvariant - -def -phaseAlignmentInvariant - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.phaseAlignmentInvariant - - -contains - - - -Semantics.TMMCP.Verification.channelConsistencyInvariant - -def -channelConsistencyInvariant - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.channelConsistencyInvariant - - -contains - - - -Semantics.TMMCP.Verification.routingTerminationInvariant - -def -routingTerminationInvariant - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.routingTerminationInvariant - - -contains - - - -Semantics.TMMCP.Verification.fixedPointDeterminismInvariant - -def -fixedPointDeterminismInvariant - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.fixedPointDeterminismInvariant - - -contains - - - -Semantics.TMMCP.Verification.allPassed - -def -allPassed - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.allPassed - - -contains - - - -Semantics.TMMCP.Verification.integrityHash - -def -integrityHash - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.integrityHash - - -contains - - - -Semantics.TMMCP.Verification.generateReceipt - -def -generateReceipt - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.generateReceipt - - -contains - - - -Semantics.TMMCP.Verification.serializePacket - -def -serializePacket - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.serializePacket - - -contains - - - -Semantics.TMMCP.Verification.invariantRegistry - -def -invariantRegistry - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.invariantRegistry - - -contains - - - -Semantics.TMMCP.Verification.findInvariant - -def -findInvariant - - - -Semantics.TMMCP.Verification->Semantics.TMMCP.Verification.findInvariant - - -contains - - - -Semantics.TSMEfficiency - -module -TSMEfficiency - - - -Semantics.TSMEfficiency.zero - -def -zero - - - -Semantics.TSMEfficiency->Semantics.TSMEfficiency.zero - - -contains - - - -Semantics.TSMEfficiency.one - -def -one - - - -Semantics.TSMEfficiency->Semantics.TSMEfficiency.one - - -contains - - - -Semantics.TSMEfficiency.ofNat - -def -ofNat - - - -Semantics.TSMEfficiency->Semantics.TSMEfficiency.ofNat - - -contains - - - -Semantics.TSMEfficiency.toNat - -def -toNat - - - -Semantics.TSMEfficiency->Semantics.TSMEfficiency.toNat - - -contains - - - -Semantics.TSMEfficiency.ofFrac - -def -ofFrac - - - -Semantics.TSMEfficiency->Semantics.TSMEfficiency.ofFrac - - -contains - - - -Semantics.TSMEfficiency.fiftyPercentTSMCapacity - -def -fiftyPercentTSMCapacity - - - -Semantics.TSMEfficiency->Semantics.TSMEfficiency.fiftyPercentTSMCapacity - - -contains - - - -Semantics.TSMEfficiency.improvementRange - -def -improvementRange - - - -Semantics.TSMEfficiency->Semantics.TSMEfficiency.improvementRange - - -contains - - - -Semantics.TSMEfficiency.simulateOptimization - -def -simulateOptimization - - - -Semantics.TSMEfficiency->Semantics.TSMEfficiency.simulateOptimization - - -contains - - - -Semantics.TSMEfficiency.spawnAgents - -def -spawnAgents - - - -Semantics.TSMEfficiency->Semantics.TSMEfficiency.spawnAgents - - -contains - - - -Semantics.TSMEfficiency.runParallelOptimization - -def -runParallelOptimization - - - -Semantics.TSMEfficiency->Semantics.TSMEfficiency.runParallelOptimization - - -contains - - - -Semantics.TSMEfficiency.analyzeImpact - -def -analyzeImpact - - - -Semantics.TSMEfficiency->Semantics.TSMEfficiency.analyzeImpact - - -contains - - - -Semantics.TSMEfficiency.runFullSimulation - -def -runFullSimulation - - - -Semantics.TSMEfficiency->Semantics.TSMEfficiency.runFullSimulation - - -contains - - - -Semantics.Tactics - -module -Tactics - - - -Semantics.Tape - -module -Tape - - - -Semantics.Tape->Semantics.FixedPoint - - -imports - - - -Semantics.Tape.zero - -def -zero - - - -Semantics.Tape->Semantics.Tape.zero - - -contains - - - -Semantics.Tape.and - -def -and - - - -Semantics.Tape->Semantics.Tape.and - - -contains - - - -Semantics.Tape.toMask - -def -toMask - - - -Semantics.Tape->Semantics.Tape.toMask - - -contains - - - -Semantics.Tape.survives - -def -survives - - - -Semantics.Tape->Semantics.Tape.survives - - -contains - - - -Semantics.Tape.empty - -def -empty - - - -Semantics.Tape->Semantics.Tape.empty - - -contains - - - -Semantics.Tape->Semantics.Tape.empty - - -contains - - - -Semantics.Tape->Semantics.Tape.empty - - -contains - - - -Semantics.Tape.append - -def -append - - - -Semantics.Tape->Semantics.Tape.append - - -contains - - - -Semantics.Tape.lastCommitment - -def -lastCommitment - - - -Semantics.Tape->Semantics.Tape.lastCommitment - - -contains - - - -Semantics.Tape.isValid - -def -isValid - - - -Semantics.Tape->Semantics.Tape.isValid - - -contains - - - -Semantics.Tape.default - -def -default - - - -Semantics.Tape->Semantics.Tape.default - - -contains - - - -Semantics.Tape.isStable - -def -isStable - - - -Semantics.Tape->Semantics.Tape.isStable - - -contains - - - -Semantics.Tape.canAfford - -def -canAfford - - - -Semantics.Tape->Semantics.Tape.canAfford - - -contains - - - -Semantics.Tape.totalTraversalCost - -def -totalTraversalCost - - - -Semantics.Tape->Semantics.Tape.totalTraversalCost - - -contains - - - -Semantics.Tape.spend - -def -spend - - - -Semantics.Tape->Semantics.Tape.spend - - -contains - - - -Semantics.Tape.evaluateEconomics - -def -evaluateEconomics - - - -Semantics.Tape->Semantics.Tape.evaluateEconomics - - -contains - - - -Semantics.Tape.lawfulIsolation - -def -lawfulIsolation - - - -Semantics.Tape->Semantics.Tape.lawfulIsolation - - -contains - - - -Semantics.Tape.validBraid - -def -validBraid - - - -Semantics.Tape->Semantics.Tape.validBraid - - -contains - - - -Semantics.Tape.validMorphism - -def -validMorphism - - - -Semantics.Tape->Semantics.Tape.validMorphism - - -contains - - - -Semantics.Tape.accept - -def -accept - - - -Semantics.Tape->Semantics.Tape.accept - - -contains - - - -Semantics.TemporalSpatialRAM - -module -TemporalSpatialRAM - - - -Semantics.TemporalSpatialRAM->Semantics.FixedPoint - - -imports - - - -Semantics.TemporalSpatialRAM.lawfulAllocationPreservesNonNegativeRAM - -theorem -lawfulAllocationPreservesNonNegativeRAM - - - -Semantics.TemporalSpatialRAM->Semantics.TemporalSpatialRAM.lawfulAllocationPreservesNonNegativeRAM - - -contains - - - -Semantics.TemporalSpatialRAM.totalRAMMonotonicDecreasing - -theorem -totalRAMMonotonicDecreasing - - - -Semantics.TemporalSpatialRAM->Semantics.TemporalSpatialRAM.totalRAMMonotonicDecreasing - - -contains - - - -Semantics.TemporalSpatialRAM.euclideanDistance - -def -euclideanDistance - - - -Semantics.TemporalSpatialRAM->Semantics.TemporalSpatialRAM.euclideanDistance - - -contains - - - -Semantics.TemporalSpatialRAM.calculateTemporalRAM - -def -calculateTemporalRAM - - - -Semantics.TemporalSpatialRAM->Semantics.TemporalSpatialRAM.calculateTemporalRAM - - -contains - - - -Semantics.TemporalSpatialRAM.calculateSpatialRAM - -def -calculateSpatialRAM - - - -Semantics.TemporalSpatialRAM->Semantics.TemporalSpatialRAM.calculateSpatialRAM - - -contains - - - -Semantics.TemporalSpatialRAM.calculateTotalRAM - -def -calculateTotalRAM - - - -Semantics.TemporalSpatialRAM->Semantics.TemporalSpatialRAM.calculateTotalRAM - - -contains - - - -Semantics.TemporalSpatialRAM.calculateNodeResources - -def -calculateNodeResources - - - -Semantics.TemporalSpatialRAM->Semantics.TemporalSpatialRAM.calculateNodeResources - - -contains - - - -Semantics.TemporalSpatialRAM.isResourceAllocationLawful - -def -isResourceAllocationLawful - - - -Semantics.TemporalSpatialRAM->Semantics.TemporalSpatialRAM.isResourceAllocationLawful - - -contains - - - -Semantics.TemporalSpatialRAM.allocateResources - -def -allocateResources - - - -Semantics.TemporalSpatialRAM->Semantics.TemporalSpatialRAM.allocateResources - - -contains - - - -Semantics.TemporalSpatialRAM.resourceAllocationBind - -def -resourceAllocationBind - - - -Semantics.TemporalSpatialRAM->Semantics.TemporalSpatialRAM.resourceAllocationBind - - -contains - - - -Semantics.Test - -module -Test - - - -Semantics.Test->Semantics.FixedPoint - - -imports - - - -Semantics.Test.ofRawInt_toInt_eq - -theorem -ofRawInt_toInt_eq - - - -Semantics.Test->Semantics.Test.ofRawInt_toInt_eq - - -contains - - - -Semantics.Test.ofNat_toInt_eq - -theorem -ofNat_toInt_eq - - - -Semantics.Test->Semantics.Test.ofNat_toInt_eq - - -contains - - - -Semantics.Test.foldl_add_pos - -theorem -foldl_add_pos - - - -Semantics.Test->Semantics.Test.foldl_add_pos - - -contains - - - -Semantics.Test.sumTauList_pos_of_nonempty - -theorem -sumTauList_pos_of_nonempty - - - -Semantics.Test->Semantics.Test.sumTauList_pos_of_nonempty - - -contains - - - -Semantics.Test.foldl_filter_le_foldl - -theorem -foldl_filter_le_foldl - - - -Semantics.Test->Semantics.Test.foldl_filter_le_foldl - - -contains - - - -Semantics.Test.int_div_le_div_of_cross_mul - -theorem -int_div_le_div_of_cross_mul - - - -Semantics.Test->Semantics.Test.int_div_le_div_of_cross_mul - - -contains - - - -Semantics.Test.div_le_div_of_cross_mul - -theorem -div_le_div_of_cross_mul - - - -Semantics.Test->Semantics.Test.div_le_div_of_cross_mul - - -contains - - - -Semantics.Test.mul_ineq - -theorem -mul_ineq - - - -Semantics.Test->Semantics.Test.mul_ineq - - -contains - - - -Semantics.Test.length_filter_add_length_filter_not - -theorem -length_filter_add_length_filter_not - - - -Semantics.Test->Semantics.Test.length_filter_add_length_filter_not - - -contains - - - -Semantics.Test.sumTauList_nonneg - -theorem -sumTauList_nonneg - - - -Semantics.Test->Semantics.Test.sumTauList_nonneg - - -contains - - - -Semantics.Test.sumTauList_partition - -theorem -sumTauList_partition - - - -Semantics.Test->Semantics.Test.sumTauList_partition - - -contains - - - -Semantics.Test.add_toInt_le_raw_sum - -theorem -add_toInt_le_raw_sum - - - -Semantics.Test->Semantics.Test.add_toInt_le_raw_sum - - -contains - - - -Semantics.Test.sumTauList_le_threshold - -theorem -sumTauList_le_threshold - - - -Semantics.Test->Semantics.Test.sumTauList_le_threshold - - -contains - - - -Semantics.Test.add_toInt_eq_raw_sum_in_range - -theorem -add_toInt_eq_raw_sum_in_range - - - -Semantics.Test->Semantics.Test.add_toInt_eq_raw_sum_in_range - - -contains - - - -Semantics.Test.sumTauList_ge_threshold - -theorem -sumTauList_ge_threshold - - - -Semantics.Test->Semantics.Test.sumTauList_ge_threshold - - -contains - - - -Semantics.Test.pruning_increases_intelligence_density - -theorem -pruning_increases_intelligence_density - - - -Semantics.Test->Semantics.Test.pruning_increases_intelligence_density - - -contains - - - -Semantics.Test.pruneHighTauFAMM - -def -pruneHighTauFAMM - - - -Semantics.Test->Semantics.Test.pruneHighTauFAMM - - -contains - - - -Semantics.Test.intelligenceDensityOfFAMM - -def -intelligenceDensityOfFAMM - - - -Semantics.Test->Semantics.Test.intelligenceDensityOfFAMM - - -contains - - - -Semantics.Test.sumTauList - -def -sumTauList - - - -Semantics.Test->Semantics.Test.sumTauList - - -contains - - - -Semantics.TestCopyIf - -module -TestCopyIf - - - -Semantics.TestCopyIf.test_rfl - -theorem -test_rfl - - - -Semantics.TestCopyIf->Semantics.TestCopyIf.test_rfl - - -contains - - - -Semantics.TestCopyIf.test_rfl2 - -theorem -test_rfl2 - - - -Semantics.TestCopyIf->Semantics.TestCopyIf.test_rfl2 - - -contains - - - -Semantics.TestCopyIf.test_rfl3 - -theorem -test_rfl3 - - - -Semantics.TestCopyIf->Semantics.TestCopyIf.test_rfl3 - - -contains - - - -Semantics.TestCopyIf.test_decide - -theorem -test_decide - - - -Semantics.TestCopyIf->Semantics.TestCopyIf.test_decide - - -contains - - - -Semantics.TestCopyIf.test_decide2 - -theorem -test_decide2 - - - -Semantics.TestCopyIf->Semantics.TestCopyIf.test_decide2 - - -contains - - - -Semantics.TestCopyIf.test_decide3 - -theorem -test_decide3 - - - -Semantics.TestCopyIf->Semantics.TestCopyIf.test_decide3 - - -contains - - - -Semantics.TestCopyIf.test_omega - -theorem -test_omega - - - -Semantics.TestCopyIf->Semantics.TestCopyIf.test_omega - - -contains - - - -Semantics.TestCopyIf.test_omega2 - -theorem -test_omega2 - - - -Semantics.TestCopyIf->Semantics.TestCopyIf.test_omega2 - - -contains - - - -Semantics.TestCopyIf.test_omega3 - -theorem -test_omega3 - - - -Semantics.TestCopyIf->Semantics.TestCopyIf.test_omega3 - - -contains - - - -Semantics.TestCopyIf.test_norm_num - -theorem -test_norm_num - - - -Semantics.TestCopyIf->Semantics.TestCopyIf.test_norm_num - - -contains - - - -Semantics.TestCopyIf.test_norm_num2 - -theorem -test_norm_num2 - - - -Semantics.TestCopyIf->Semantics.TestCopyIf.test_norm_num2 - - -contains - - - -Semantics.TestCopyIf.test_which_rfl - -theorem -test_which_rfl - - - -Semantics.TestCopyIf->Semantics.TestCopyIf.test_which_rfl - - -contains - - - -Semantics.TestCopyIf.test_which_decide - -theorem -test_which_decide - - - -Semantics.TestCopyIf->Semantics.TestCopyIf.test_which_decide - - -contains - - - -Semantics.TestCopyIf.test_which_omega - -theorem -test_which_omega - - - -Semantics.TestCopyIf->Semantics.TestCopyIf.test_which_omega - - -contains - - - -Semantics.Testing.AdversarialTopologyTest - -module -AdversarialTopologyTest - - - -Semantics.Testing.AdversarialTopologyTest->Semantics.ManifoldNetworking - - -imports - - - -Semantics.Testing.AdversarialTopologyTest.adversarialTopologyQuizBank - -def -adversarialTopologyQuizBank - - - -Semantics.Testing.AdversarialTopologyTest->Semantics.Testing.AdversarialTopologyTest.adversarialTopologyQuizBank - - -contains - - - -Semantics.Testing.AdversarialTopologyTest.runAdversarialTopologyQuiz - -def -runAdversarialTopologyQuiz - - - -Semantics.Testing.AdversarialTopologyTest->Semantics.Testing.AdversarialTopologyTest.runAdversarialTopologyQuiz - - -contains - - - -Semantics.Testing.AdversarialTopologyTest.testAdversarialTopology - -def -testAdversarialTopology - - - -Semantics.Testing.AdversarialTopologyTest->Semantics.Testing.AdversarialTopologyTest.testAdversarialTopology - - -contains - - - -Semantics.Testing.ArrayTest - -module -ArrayTest - - - -Semantics.Testing.ArrayTest.a1 - -def -a1 - - - -Semantics.Testing.ArrayTest->Semantics.Testing.ArrayTest.a1 - - -contains - - - -Semantics.Testing.ArrayTest.a2 - -def -a2 - - - -Semantics.Testing.ArrayTest->Semantics.Testing.ArrayTest.a2 - - -contains - - - -Semantics.Testing.BaselineTest - -module -BaselineTest - - - -Semantics.Testing.BaselineTest.invariantPreservationPerByte - -def -invariantPreservationPerByte - - - -Semantics.Testing.BaselineTest->Semantics.Testing.BaselineTest.invariantPreservationPerByte - - -contains - - - -Semantics.Testing.BaselineTest.compareCandidateToBaseline - -def -compareCandidateToBaseline - - - -Semantics.Testing.BaselineTest->Semantics.Testing.BaselineTest.compareCandidateToBaseline - - -contains - - - -Semantics.Testing.BaselineTest.baselineQuizBank - -def -baselineQuizBank - - - -Semantics.Testing.BaselineTest->Semantics.Testing.BaselineTest.baselineQuizBank - - -contains - - - -Semantics.Testing.BaselineTest.runBaselineTest - -def -runBaselineTest - - - -Semantics.Testing.BaselineTest->Semantics.Testing.BaselineTest.runBaselineTest - - -contains - - - -Semantics.Testing.BaselineTest.baselineGate - -def -baselineGate - - - -Semantics.Testing.BaselineTest->Semantics.Testing.BaselineTest.baselineGate - - -contains - - - -Semantics.ExtremeParameterTest - -Semantics.ExtremeParameterTest - - - -Semantics.Testing.BaselineTest->Semantics.ExtremeParameterTest - - -imports - - - -Semantics.Testing.BitcoinRGFlowTest - -module -BitcoinRGFlowTest - - - -Semantics.Testing.BitcoinRGFlowTest->Semantics.BitcoinRGFlow - - -imports - - - -Semantics.Testing.CBFTests - -module -CBFTests - - - -Semantics.Testing.CongestionStabilityTest - -module -CongestionStabilityTest - - - -Semantics.Testing.CongestionStabilityTest->Semantics.ManifoldNetworking - - -imports - - - -Semantics.Testing.CongestionStabilityTest.congestionStabilityQuizBank - -def -congestionStabilityQuizBank - - - -Semantics.Testing.CongestionStabilityTest->Semantics.Testing.CongestionStabilityTest.congestionStabilityQuizBank - - -contains - - - -Semantics.Testing.CongestionStabilityTest.runAIMDStabilityTest - -def -runAIMDStabilityTest - - - -Semantics.Testing.CongestionStabilityTest->Semantics.Testing.CongestionStabilityTest.runAIMDStabilityTest - - -contains - - - -Semantics.Testing.CongestionStabilityTest.testAIMDStability - -def -testAIMDStability - - - -Semantics.Testing.CongestionStabilityTest->Semantics.Testing.CongestionStabilityTest.testAIMDStability - - -contains - - - -Semantics.Testing.ConservationTest - -module -ConservationTest - - - -Semantics.Testing.ConservationTest->Semantics.ManifoldNetworking - - -imports - - - -Semantics.Testing.ConservationTest.conservationQuizBank - -def -conservationQuizBank - - - -Semantics.Testing.ConservationTest->Semantics.Testing.ConservationTest.conservationQuizBank - - -contains - - - -Semantics.Testing.ConservationTest.runConservationQuiz - -def -runConservationQuiz - - - -Semantics.Testing.ConservationTest->Semantics.Testing.ConservationTest.runConservationQuiz - - -contains - - - -Semantics.Testing.ConservationTest.testTokenConservation - -def -testTokenConservation - - - -Semantics.Testing.ConservationTest->Semantics.Testing.ConservationTest.testTokenConservation - - -contains - - - -Semantics.Testing.ControlTransferTest - -module -ControlTransferTest - - - -Semantics.Testing.ControlTransferTest.controlTransferQuizBank - -def -controlTransferQuizBank - - - -Semantics.Testing.ControlTransferTest->Semantics.Testing.ControlTransferTest.controlTransferQuizBank - - -contains - - - -Semantics.Testing.ControlTransferTest.runControlTransferQuiz - -def -runControlTransferQuiz - - - -Semantics.Testing.ControlTransferTest->Semantics.Testing.ControlTransferTest.runControlTransferQuiz - - -contains - - - -Semantics.Testing.ControlTransferTest->Semantics.Testing.ExtremeParameterTest - - -imports - - - -Semantics.Testing.DeltaGCLBenchmark - -module -DeltaGCLBenchmark - - - -Semantics.Testing.DeltaGCLBenchmark.deltaGCLSizeConstant - -theorem -deltaGCLSizeConstant - - - -Semantics.Testing.DeltaGCLBenchmark->Semantics.Testing.DeltaGCLBenchmark.deltaGCLSizeConstant - - -contains - - - -Semantics.Testing.DeltaGCLBenchmark.baselineGCLSizeConstant - -theorem -baselineGCLSizeConstant - - - -Semantics.Testing.DeltaGCLBenchmark->Semantics.Testing.DeltaGCLBenchmark.baselineGCLSizeConstant - - -contains - - - -Semantics.Testing.DeltaGCLBenchmark.compressionRatio - -def -compressionRatio - - - -Semantics.Testing.DeltaGCLBenchmark->Semantics.Testing.DeltaGCLBenchmark.compressionRatio - - -contains - - - -Semantics.Testing.DeltaGCLBenchmark.reductionPercent - -def -reductionPercent - - - -Semantics.Testing.DeltaGCLBenchmark->Semantics.Testing.DeltaGCLBenchmark.reductionPercent - - -contains - - - -Semantics.Testing.DeltaGCLBenchmark.deltaGCLSize - -def -deltaGCLSize - - - -Semantics.Testing.DeltaGCLBenchmark->Semantics.Testing.DeltaGCLBenchmark.deltaGCLSize - - -contains - - - -Semantics.Testing.DeltaGCLBenchmark.baselineGCLSize - -def -baselineGCLSize - - - -Semantics.Testing.DeltaGCLBenchmark->Semantics.Testing.DeltaGCLBenchmark.baselineGCLSize - - -contains - - - -Semantics.Testing.DeltaGCLBenchmark.benchmarkDeltaGCL - -def -benchmarkDeltaGCL - - - -Semantics.Testing.DeltaGCLBenchmark->Semantics.Testing.DeltaGCLBenchmark.benchmarkDeltaGCL - - -contains - - - -Semantics.Testing.DeltaGCLBenchmark.measureLeanCorpus - -def -measureLeanCorpus - - - -Semantics.Testing.DeltaGCLBenchmark->Semantics.Testing.DeltaGCLBenchmark.measureLeanCorpus - - -contains - - - -Semantics.Testing.DeltaGCLBenchmark.leanCorpusProvenance - -def -leanCorpusProvenance - - - -Semantics.Testing.DeltaGCLBenchmark->Semantics.Testing.DeltaGCLBenchmark.leanCorpusProvenance - - -contains - - - -Semantics.Testing.DeltaGCLBenchmark.actualCorpusCompression - -def -actualCorpusCompression - - - -Semantics.Testing.DeltaGCLBenchmark->Semantics.Testing.DeltaGCLBenchmark.actualCorpusCompression - - -contains - - - -Semantics.Testing.DeltaGCLBenchmark.benchmarkSummary - -def -benchmarkSummary - - - -Semantics.Testing.DeltaGCLBenchmark->Semantics.Testing.DeltaGCLBenchmark.benchmarkSummary - - -contains - - - -Semantics.Testing.ErdosHarness - -module -ErdosHarness - - - -Semantics.Testing.ErdosHarness.local_bad_gyarfas_is_not_certified - -theorem -local_bad_gyarfas_is_not_certified - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.local_bad_gyarfas_is_not_certified - - -contains - - - -Semantics.Testing.ErdosHarness.local_bad_gyarfas_is_invalid_packet - -theorem -local_bad_gyarfas_is_invalid_packet - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.local_bad_gyarfas_is_invalid_packet - - -contains - - - -Semantics.Testing.ErdosHarness.diagnostic_gyarfas_stays_anomaly - -theorem -diagnostic_gyarfas_stays_anomaly - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.diagnostic_gyarfas_stays_anomaly - - -contains - - - -Semantics.Testing.ErdosHarness.selfridge_smoke_is_not_proof - -theorem -selfridge_smoke_is_not_proof - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.selfridge_smoke_is_not_proof - - -contains - - - -Semantics.Testing.ErdosHarness.selfridge_smoke_classifies_as_finite_smoke - -theorem -selfridge_smoke_classifies_as_finite_smo - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.selfridge_smoke_classifies_as_finite_smoke - - -contains - - - -Semantics.Testing.ErdosHarness.edgeInBounds - -def -edgeInBounds - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.edgeInBounds - - -contains - - - -Semantics.Testing.ErdosHarness.edgeNotLoop - -def -edgeNotLoop - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.edgeNotLoop - - -contains - - - -Semantics.Testing.ErdosHarness.normalizedEdge - -def -normalizedEdge - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.normalizedEdge - - -contains - - - -Semantics.Testing.ErdosHarness.listHasDup - -def -listHasDup - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.listHasDup - - -contains - - - -Semantics.Testing.ErdosHarness.simpleGraphEdges - -def -simpleGraphEdges - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.simpleGraphEdges - - -contains - - - -Semantics.Testing.ErdosHarness.degreeOf - -def -degreeOf - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.degreeOf - - -contains - - - -Semantics.Testing.ErdosHarness.computedDegreeSequence - -def -computedDegreeSequence - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.computedDegreeSequence - - -contains - - - -Semantics.Testing.ErdosHarness.minNatList - -def -minNatList - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.minNatList - - -contains - - - -Semantics.Testing.ErdosHarness.isPow2 - -def -isPow2 - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.isPow2 - - -contains - - - -Semantics.Testing.ErdosHarness.powerTwoCycleLengthsUpTo - -def -powerTwoCycleLengthsUpTo - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.powerTwoCycleLengthsUpTo - - -contains - - - -Semantics.Testing.ErdosHarness.countForLength - -def -countForLength - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.countForLength - - -contains - - - -Semantics.Testing.ErdosHarness.allCheckedPowerLengthsAbsent - -def -allCheckedPowerLengthsAbsent - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.allCheckedPowerLengthsAbsent - - -contains - - - -Semantics.Testing.ErdosHarness.GyarfasPacket - -def -GyarfasPacket - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.GyarfasPacket - - -contains - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.GyarfasPacket - - -contains - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.GyarfasPacket - - -contains - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.GyarfasPacket - - -contains - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.GyarfasPacket - - -contains - - - -Semantics.Testing.ErdosHarness.classifyGyarfasPacket - -def -classifyGyarfasPacket - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.classifyGyarfasPacket - - -contains - - - -Semantics.Testing.ErdosHarness.localBadGyarfasPacket - -def -localBadGyarfasPacket - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.localBadGyarfasPacket - - -contains - - - -Semantics.Testing.ErdosHarness.diagnosticOnlyGyarfasPacket - -def -diagnosticOnlyGyarfasPacket - - - -Semantics.Testing.ErdosHarness->Semantics.Testing.ErdosHarness.diagnosticOnlyGyarfasPacket - - -contains - - - -Semantics.Testing.ErdosSurface - -module -ErdosSurface - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosHarness - - -imports - - - -Semantics.Testing.ErdosSurface.current_surface_claims_are_finite - -theorem -current_surface_claims_are_finite - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.current_surface_claims_are_finite - - -contains - - - -Semantics.Testing.ErdosSurface.current_surface_total_count - -theorem -current_surface_total_count - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.current_surface_total_count - - -contains - - - -Semantics.Testing.ErdosSurface.laneName - -def -laneName - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.laneName - - -contains - - - -Semantics.Testing.ErdosSurface.surfacePlan - -def -surfacePlan - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.surfacePlan - - -contains - - - -Semantics.Testing.ErdosSurface.currentFammCounts - -def -currentFammCounts - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.currentFammCounts - - -contains - - - -Semantics.Testing.ErdosSurface.totalCount - -def -totalCount - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.totalCount - - -contains - - - -Semantics.Testing.ErdosSurface.allSurfaceClaimsFinite - -def -allSurfaceClaimsFinite - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.allSurfaceClaimsFinite - - -contains - - - -Semantics.Testing.ErdosSurface.escapeJson - -def -escapeJson - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.escapeJson - - -contains - - - -Semantics.Testing.ErdosSurface.q - -def -q - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.q - - -contains - - - -Semantics.Testing.ErdosSurface.joinWith - -def -joinWith - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.joinWith - - -contains - - - -Semantics.Testing.ErdosSurface.boolJson - -def -boolJson - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.boolJson - - -contains - - - -Semantics.Testing.ErdosSurface.lanePlanJson - -def -lanePlanJson - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.lanePlanJson - - -contains - - - -Semantics.Testing.ErdosSurface.countJson - -def -countJson - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.countJson - - -contains - - - -Semantics.Testing.ErdosSurface.countsArrayJson - -def -countsArrayJson - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.countsArrayJson - - -contains - - - -Semantics.Testing.ErdosSurface.countValuesJson - -def -countValuesJson - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.countValuesJson - - -contains - - - -Semantics.Testing.ErdosSurface.lanesJson - -def -lanesJson - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.lanesJson - - -contains - - - -Semantics.Testing.ErdosSurface.surfaceReceiptJson - -def -surfaceReceiptJson - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.surfaceReceiptJson - - -contains - - - -Semantics.Testing.ErdosSurface.main - -def -main - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.main - - -contains - - - -Semantics.Testing.ErdosSurface->Semantics.Testing.ErdosSurface.main - - -contains - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Bind - - -imports - - - -Semantics.Testing.ExtremeParameterTest.rawQ16 - -def -rawQ16 - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.rawQ16 - - -contains - - - -Semantics.Testing.ExtremeParameterTest.informationalMaxDefensible - -def -informationalMaxDefensible - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.informationalMaxDefensible - - -contains - - - -Semantics.Testing.ExtremeParameterTest.geometricMaxDefensible - -def -geometricMaxDefensible - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.geometricMaxDefensible - - -contains - - - -Semantics.Testing.ExtremeParameterTest.thermodynamicMaxDefensible - -def -thermodynamicMaxDefensible - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.thermodynamicMaxDefensible - - -contains - - - -Semantics.Testing.ExtremeParameterTest.physicalMaxDefensible - -def -physicalMaxDefensible - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.physicalMaxDefensible - - -contains - - - -Semantics.Testing.ExtremeParameterTest.controlMaxDefensible - -def -controlMaxDefensible - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.controlMaxDefensible - - -contains - - - -Semantics.Testing.ExtremeParameterTest.getMaxDefensibleForCategory - -def -getMaxDefensibleForCategory - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.getMaxDefensibleForCategory - - -contains - - - -Semantics.Testing.ExtremeParameterTest.calculateDomainSigma - -def -calculateDomainSigma - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.calculateDomainSigma - - -contains - - - -Semantics.Testing.ExtremeParameterTest.calculateCompositeSigma - -def -calculateCompositeSigma - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.calculateCompositeSigma - - -contains - - - -Semantics.Testing.ExtremeParameterTest.activeSigmaForCategory - -def -activeSigmaForCategory - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.activeSigmaForCategory - - -contains - - - -Semantics.Testing.ExtremeParameterTest.applyEvidenceDecay - -def -applyEvidenceDecay - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.applyEvidenceDecay - - -contains - - - -Semantics.Testing.ExtremeParameterTest.isValidSigma - -def -isValidSigma - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.isValidSigma - - -contains - - - -Semantics.Testing.ExtremeParameterTest.appendSigmaHistory - -def -appendSigmaHistory - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.appendSigmaHistory - - -contains - - - -Semantics.Testing.ExtremeParameterTest.scientificallyDefensibleCost - -def -scientificallyDefensibleCost - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.scientificallyDefensibleCost - - -contains - - - -Semantics.Testing.ExtremeParameterTest.checkOverflow - -def -checkOverflow - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.checkOverflow - - -contains - - - -Semantics.Testing.ExtremeParameterTest.checkSaturation - -def -checkSaturation - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.checkSaturation - - -contains - - - -Semantics.Testing.ExtremeParameterTest.checkContradiction - -def -checkContradiction - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.checkContradiction - - -contains - - - -Semantics.Testing.ExtremeParameterTest.checkAmbiguity - -def -checkAmbiguity - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.checkAmbiguity - - -contains - - - -Semantics.Testing.ExtremeParameterTest.checkPrivacyBypass - -def -checkPrivacyBypass - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.checkPrivacyBypass - - -contains - - - -Semantics.Testing.ExtremeParameterTest.checkAntiHerding - -def -checkAntiHerding - - - -Semantics.Testing.ExtremeParameterTest->Semantics.Testing.ExtremeParameterTest.checkAntiHerding - - -contains - - - -Semantics.Testing.FairnessTest - -module -FairnessTest - - - -Semantics.Testing.FairnessTest->Semantics.ManifoldNetworking - - -imports - - - -Semantics.Testing.FairnessTest.fairnessQuizBank - -def -fairnessQuizBank - - - -Semantics.Testing.FairnessTest->Semantics.Testing.FairnessTest.fairnessQuizBank - - -contains - - - -Semantics.Testing.FairnessTest.runFairnessQuiz - -def -runFairnessQuiz - - - -Semantics.Testing.FairnessTest->Semantics.Testing.FairnessTest.runFairnessQuiz - - -contains - - - -Semantics.Testing.FairnessTest.testPathFairness - -def -testPathFairness - - - -Semantics.Testing.FairnessTest->Semantics.Testing.FairnessTest.testPathFairness - - -contains - - - -Semantics.Testing.FixedPointTest - -module -FixedPointTest - - - -Semantics.Testing.FixedPointTest.test_ofInt_one - -theorem -test_ofInt_one - - - -Semantics.Testing.FixedPointTest->Semantics.Testing.FixedPointTest.test_ofInt_one - - -contains - - - -Semantics.Testing.FixedPointTest.test_ofRatio_one - -theorem -test_ofRatio_one - - - -Semantics.Testing.FixedPointTest->Semantics.Testing.FixedPointTest.test_ofRatio_one - - -contains - - - -Semantics.Testing.FixedPointTest.test_ofRatio_half - -theorem -test_ofRatio_half - - - -Semantics.Testing.FixedPointTest->Semantics.Testing.FixedPointTest.test_ofRatio_half - - -contains - - - -Semantics.Testing.FixedPointTest.test_ofInt_120 - -theorem -test_ofInt_120 - - - -Semantics.Testing.FixedPointTest->Semantics.Testing.FixedPointTest.test_ofInt_120 - - -contains - - - -Semantics.Testing.FixedPointTest.test_add_one_one - -theorem -test_add_one_one - - - -Semantics.Testing.FixedPointTest->Semantics.Testing.FixedPointTest.test_add_one_one - - -contains - - - -Semantics.Testing.FixedPointTest.test_mul_one_two - -theorem -test_mul_one_two - - - -Semantics.Testing.FixedPointTest->Semantics.Testing.FixedPointTest.test_mul_one_two - - -contains - - - -Semantics.Testing.FixedPointTest.test_mul_half_half - -theorem -test_mul_half_half - - - -Semantics.Testing.FixedPointTest->Semantics.Testing.FixedPointTest.test_mul_half_half - - -contains - - - -Semantics.Testing.FixedPointTest.test_add_overflow - -theorem -test_add_overflow - - - -Semantics.Testing.FixedPointTest->Semantics.Testing.FixedPointTest.test_add_overflow - - -contains - - - -Semantics.Testing.FixedPointTest.test_add_underflow - -theorem -test_add_underflow - - - -Semantics.Testing.FixedPointTest->Semantics.Testing.FixedPointTest.test_add_underflow - - -contains - - - -Semantics.Testing.FixedPointTest.test_toInt_one - -theorem -test_toInt_one - - - -Semantics.Testing.FixedPointTest->Semantics.Testing.FixedPointTest.test_toInt_one - - -contains - - - -Semantics.Testing.FixedPointTest.test_toInt_neg_one - -theorem -test_toInt_neg_one - - - -Semantics.Testing.FixedPointTest->Semantics.Testing.FixedPointTest.test_toInt_neg_one - - -contains - - - -Semantics.Testing.FixedPointTest.test_toInt_zero - -theorem -test_toInt_zero - - - -Semantics.Testing.FixedPointTest->Semantics.Testing.FixedPointTest.test_toInt_zero - - -contains - - - -Semantics.Testing.FlatLimitTest - -module -FlatLimitTest - - - -Semantics.Testing.FlatLimitTest->Semantics.ManifoldNetworking - - -imports - - - -Semantics.Testing.FlatLimitTest.flatLimitQuizBank - -def -flatLimitQuizBank - - - -Semantics.Testing.FlatLimitTest->Semantics.Testing.FlatLimitTest.flatLimitQuizBank - - -contains - - - -Semantics.Testing.FlatLimitTest.runFlatLimitQuiz - -def -runFlatLimitQuiz - - - -Semantics.Testing.FlatLimitTest->Semantics.Testing.FlatLimitTest.runFlatLimitQuiz - - -contains - - - -Semantics.Testing.FlatLimitTest.testFlatManifoldReduction - -def -testFlatManifoldReduction - - - -Semantics.Testing.FlatLimitTest->Semantics.Testing.FlatLimitTest.testFlatManifoldReduction - - -contains - - - -Semantics.Testing.GeneticGroundUpBenchmark - -module -GeneticGroundUpBenchmark - - - -Semantics.Testing.GeneticGroundUpBenchmark.interpretedExpressionCost - -def -interpretedExpressionCost - - - -Semantics.Testing.GeneticGroundUpBenchmark->Semantics.Testing.GeneticGroundUpBenchmark.interpretedExpressionCost - - -contains - - - -Semantics.Testing.GeneticGroundUpBenchmark.compiledExpressionCost - -def -compiledExpressionCost - - - -Semantics.Testing.GeneticGroundUpBenchmark->Semantics.Testing.GeneticGroundUpBenchmark.compiledExpressionCost - - -contains - - - -Semantics.Testing.GeneticGroundUpBenchmark.mdSimulationCost - -def -mdSimulationCost - - - -Semantics.Testing.GeneticGroundUpBenchmark->Semantics.Testing.GeneticGroundUpBenchmark.mdSimulationCost - - -contains - - - -Semantics.Testing.GeneticGroundUpBenchmark.manifoldFoldingCost - -def -manifoldFoldingCost - - - -Semantics.Testing.GeneticGroundUpBenchmark->Semantics.Testing.GeneticGroundUpBenchmark.manifoldFoldingCost - - -contains - - - -Semantics.Testing.GeneticGroundUpBenchmark.discreteMetabolicCost - -def -discreteMetabolicCost - - - -Semantics.Testing.GeneticGroundUpBenchmark->Semantics.Testing.GeneticGroundUpBenchmark.discreteMetabolicCost - - -contains - - - -Semantics.Testing.GeneticGroundUpBenchmark.gnnMetabolicCost - -def -gnnMetabolicCost - - - -Semantics.Testing.GeneticGroundUpBenchmark->Semantics.Testing.GeneticGroundUpBenchmark.gnnMetabolicCost - - -contains - - - -Semantics.Testing.GeneticGroundUpBenchmark.generationalEvolutionCost - -def -generationalEvolutionCost - - - -Semantics.Testing.GeneticGroundUpBenchmark->Semantics.Testing.GeneticGroundUpBenchmark.generationalEvolutionCost - - -contains - - - -Semantics.Testing.GeneticGroundUpBenchmark.gradientEvolutionCost - -def -gradientEvolutionCost - - - -Semantics.Testing.GeneticGroundUpBenchmark->Semantics.Testing.GeneticGroundUpBenchmark.gradientEvolutionCost - - -contains - - - -Semantics.Testing.GeneticGroundUpBenchmark.oldTotalCost - -def -oldTotalCost - - - -Semantics.Testing.GeneticGroundUpBenchmark->Semantics.Testing.GeneticGroundUpBenchmark.oldTotalCost - - -contains - - - -Semantics.Testing.GeneticGroundUpBenchmark.newTotalCost - -def -newTotalCost - - - -Semantics.Testing.GeneticGroundUpBenchmark->Semantics.Testing.GeneticGroundUpBenchmark.newTotalCost - - -contains - - - -Semantics.Testing.GeneticGroundUpBenchmark.moduleSummary - -def -moduleSummary - - - -Semantics.Testing.GeneticGroundUpBenchmark->Semantics.Testing.GeneticGroundUpBenchmark.moduleSummary - - -contains - - - -Semantics.Testing.GeneticGroundUpTest - -module -GeneticGroundUpTest - - - -Semantics.Testing.GeneticGroundUpTest.test_expression_probs - -theorem -test_expression_probs - - - -Semantics.Testing.GeneticGroundUpTest->Semantics.Testing.GeneticGroundUpTest.test_expression_probs - - -contains - - - -Semantics.Testing.GeneticGroundUpTest.test_fold_angles - -theorem -test_fold_angles - - - -Semantics.Testing.GeneticGroundUpTest->Semantics.Testing.GeneticGroundUpTest.test_fold_angles - - -contains - - - -Semantics.Testing.GeneticGroundUpTest.test_prob_amp_sq - -theorem -test_prob_amp_sq - - - -Semantics.Testing.GeneticGroundUpTest->Semantics.Testing.GeneticGroundUpTest.test_prob_amp_sq - - -contains - - - -Semantics.Testing.GeneticGroundUpTest.test_information_content - -theorem -test_information_content - - - -Semantics.Testing.GeneticGroundUpTest->Semantics.Testing.GeneticGroundUpTest.test_information_content - - -contains - - - -Semantics.Testing.GeneticGroundUpTest.test_is_recent - -theorem -test_is_recent - - - -Semantics.Testing.GeneticGroundUpTest->Semantics.Testing.GeneticGroundUpTest.test_is_recent - - -contains - - - -Semantics.Testing.GeneticGroundUpTest.test_target_fold_time - -theorem -test_target_fold_time - - - -Semantics.Testing.GeneticGroundUpTest->Semantics.Testing.GeneticGroundUpTest.test_target_fold_time - - -contains - - - -Semantics.Testing.GeneticGroundUpTest.test_achieved_target_speed - -theorem -test_achieved_target_speed - - - -Semantics.Testing.GeneticGroundUpTest->Semantics.Testing.GeneticGroundUpTest.test_achieved_target_speed - - -contains - - - -Semantics.Testing.GeneticGroundUpTest.test_is_stable - -theorem -test_is_stable - - - -Semantics.Testing.GeneticGroundUpTest->Semantics.Testing.GeneticGroundUpTest.test_is_stable - - -contains - - - -Semantics.Testing.GeneticGroundUpTest.test_speedup_target - -theorem -test_speedup_target - - - -Semantics.Testing.GeneticGroundUpTest->Semantics.Testing.GeneticGroundUpTest.test_speedup_target - - -contains - - - -Semantics.Testing.GeneticGroundUpTest.exampleQB - -def -exampleQB - - - -Semantics.Testing.GeneticGroundUpTest->Semantics.Testing.GeneticGroundUpTest.exampleQB - - -contains - - - -Semantics.Testing.GeneticGroundUpTest.exampleGK - -def -exampleGK - - - -Semantics.Testing.GeneticGroundUpTest->Semantics.Testing.GeneticGroundUpTest.exampleGK - - -contains - - - -Semantics.Testing.GeneticGroundUpTest.examplePFS - -def -examplePFS - - - -Semantics.Testing.GeneticGroundUpTest->Semantics.Testing.GeneticGroundUpTest.examplePFS - - -contains - - - -Semantics.Testing.HutterPrizeFlowTest - -module -HutterPrizeFlowTest - - - -Semantics.Testing.HutterPrizeFlowTest.decoderTerm_nonneg_test - -theorem -decoderTerm_nonneg_test - - - -Semantics.Testing.HutterPrizeFlowTest->Semantics.Testing.HutterPrizeFlowTest.decoderTerm_nonneg_test - - -contains - - - -Semantics.Testing.HutterPrizeFlowTest.resourceTerm_nonneg_test - -theorem -resourceTerm_nonneg_test - - - -Semantics.Testing.HutterPrizeFlowTest->Semantics.Testing.HutterPrizeFlowTest.resourceTerm_nonneg_test - - -contains - - - -Semantics.Testing.HutterPrizeFlowTest.phiHP_lower_bound_test - -theorem -phiHP_lower_bound_test - - - -Semantics.Testing.HutterPrizeFlowTest->Semantics.Testing.HutterPrizeFlowTest.phiHP_lower_bound_test - - -contains - - - -Semantics.Testing.HutterPrizeFlowTest.x0_wellformed - -theorem -x0_wellformed - - - -Semantics.Testing.HutterPrizeFlowTest->Semantics.Testing.HutterPrizeFlowTest.x0_wellformed - - -contains - - - -Semantics.Testing.HutterPrizeFlowTest.x1_wellformed - -theorem -x1_wellformed - - - -Semantics.Testing.HutterPrizeFlowTest->Semantics.Testing.HutterPrizeFlowTest.x1_wellformed - - -contains - - - -Semantics.Testing.HutterPrizeFlowTest.params_alphaComp_nonneg - -theorem -params_alphaComp_nonneg - - - -Semantics.Testing.HutterPrizeFlowTest->Semantics.Testing.HutterPrizeFlowTest.params_alphaComp_nonneg - - -contains - - - -Semantics.Testing.HutterPrizeFlowTest.params_alphaDec_nonneg - -theorem -params_alphaDec_nonneg - - - -Semantics.Testing.HutterPrizeFlowTest->Semantics.Testing.HutterPrizeFlowTest.params_alphaDec_nonneg - - -contains - - - -Semantics.Testing.HutterPrizeFlowTest.params_alphaRes_nonneg - -theorem -params_alphaRes_nonneg - - - -Semantics.Testing.HutterPrizeFlowTest->Semantics.Testing.HutterPrizeFlowTest.params_alphaRes_nonneg - - -contains - - - -Semantics.Testing.HutterPrizeFlowTest.hutterRecordRatio - -def -hutterRecordRatio - - - -Semantics.Testing.HutterPrizeFlowTest->Semantics.Testing.HutterPrizeFlowTest.hutterRecordRatio - - -contains - - - -Semantics.Testing.HutterPrizeFlowTest.hutterTargetRatio - -def -hutterTargetRatio - - - -Semantics.Testing.HutterPrizeFlowTest->Semantics.Testing.HutterPrizeFlowTest.hutterTargetRatio - - -contains - - - -Semantics.Testing.HutterPrizeFlowTest.beatsHutterTarget - -def -beatsHutterTarget - - - -Semantics.Testing.HutterPrizeFlowTest->Semantics.Testing.HutterPrizeFlowTest.beatsHutterTarget - - -contains - - - -Semantics.Testing.LemmaTest - -module -LemmaTest - - - -Semantics.Testing.LemmaTest.test_sub_sub - -theorem -test_sub_sub - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_sub_sub - - -contains - - - -Semantics.Testing.LemmaTest.test_sub_add_cancel - -theorem -test_sub_add_cancel - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_sub_add_cancel - - -contains - - - -Semantics.Testing.LemmaTest.test_add_sub_cancel_left - -theorem -test_add_sub_cancel_left - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_add_sub_cancel_left - - -contains - - - -Semantics.Testing.LemmaTest.test_add_sub_cancel_right - -theorem -test_add_sub_cancel_right - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_add_sub_cancel_right - - -contains - - - -Semantics.Testing.LemmaTest.test_add_sub_add_left - -theorem -test_add_sub_add_left - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_add_sub_add_left - - -contains - - - -Semantics.Testing.LemmaTest.test_succ_le - -theorem -test_succ_le - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_succ_le - - -contains - - - -Semantics.Testing.LemmaTest.test_sub_le_sub_right - -theorem -test_sub_le_sub_right - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_sub_le_sub_right - - -contains - - - -Semantics.Testing.LemmaTest.test_le_add_right - -theorem -test_le_add_right - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_le_add_right - - -contains - - - -Semantics.Testing.LemmaTest.test_lt_succ - -theorem -test_lt_succ - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_lt_succ - - -contains - - - -Semantics.Testing.LemmaTest.test_lt_succ_iff - -theorem -test_lt_succ_iff - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_lt_succ_iff - - -contains - - - -Semantics.Testing.LemmaTest.test_two_mul - -theorem -test_two_mul - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_two_mul - - -contains - - - -Semantics.Testing.LemmaTest.test_mul_add - -theorem -test_mul_add - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_mul_add - - -contains - - - -Semantics.Testing.LemmaTest.test_add_mul - -theorem -test_add_mul - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_add_mul - - -contains - - - -Semantics.Testing.LemmaTest.test_zero_le - -theorem -test_zero_le - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_zero_le - - -contains - - - -Semantics.Testing.LemmaTest.test_le_antisymm - -theorem -test_le_antisymm - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_le_antisymm - - -contains - - - -Semantics.Testing.LemmaTest.test_eq_sqrt - -theorem -test_eq_sqrt - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_eq_sqrt - - -contains - - - -Semantics.Testing.LemmaTest.test_lt_of_le_of_lt - -theorem -test_lt_of_le_of_lt - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_lt_of_le_of_lt - - -contains - - - -Semantics.Testing.LemmaTest.test_lt_of_lt_of_eq - -theorem -test_lt_of_lt_of_eq - - - -Semantics.Testing.LemmaTest->Semantics.Testing.LemmaTest.test_lt_of_lt_of_eq - - -contains - - - -Semantics.Testing.LemmaTest2 - -module -LemmaTest2 - - - -Semantics.Testing.LemmaTest2.expand_k1_sq - -theorem -expand_k1_sq - - - -Semantics.Testing.LemmaTest2->Semantics.Testing.LemmaTest2.expand_k1_sq - - -contains - - - -Semantics.Testing.MOIMBenchmark - -module -MOIMBenchmark - - - -Semantics.Testing.MOIMBenchmark.uplift_positive - -theorem -uplift_positive - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.uplift_positive - - -contains - - - -Semantics.Testing.MOIMBenchmark.overall_uplift_is_geometric_mean - -theorem -overall_uplift_is_geometric_mean - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.overall_uplift_is_geometric_mean - - -contains - - - -Semantics.Testing.MOIMBenchmark.success_count_le_total - -theorem -success_count_le_total - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.success_count_le_total - - -contains - - - -Semantics.Testing.MOIMBenchmark.runAllBenchmarks_all_success - -theorem -runAllBenchmarks_all_success - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.runAllBenchmarks_all_success - - -contains - - - -Semantics.Testing.MOIMBenchmark.runAllBenchmarks_meets_overall_target - -theorem -runAllBenchmarks_meets_overall_target - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.runAllBenchmarks_meets_overall_target - - -contains - - - -Semantics.Testing.MOIMBenchmark.calculateUplift - -def -calculateUplift - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.calculateUplift - - -contains - - - -Semantics.Testing.MOIMBenchmark.meetsTarget - -def -meetsTarget - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.meetsTarget - - -contains - - - -Semantics.Testing.MOIMBenchmark.integerCountTolerance - -def -integerCountTolerance - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.integerCountTolerance - - -contains - - - -Semantics.Testing.MOIMBenchmark.meetsTargetWithTolerance - -def -meetsTargetWithTolerance - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.meetsTargetWithTolerance - - -contains - - - -Semantics.Testing.MOIMBenchmark.targetOverallUplift - -def -targetOverallUplift - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.targetOverallUplift - - -contains - - - -Semantics.Testing.MOIMBenchmark.baselineLinearSearch - -def -baselineLinearSearch - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.baselineLinearSearch - - -contains - - - -Semantics.Testing.MOIMBenchmark.baselineGridSampling - -def -baselineGridSampling - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.baselineGridSampling - - -contains - - - -Semantics.Testing.MOIMBenchmark.baselineTemperatureDivision - -def -baselineTemperatureDivision - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.baselineTemperatureDivision - - -contains - - - -Semantics.Testing.MOIMBenchmark.baselineDiscovery - -def -baselineDiscovery - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.baselineDiscovery - - -contains - - - -Semantics.Testing.MOIMBenchmark.baselineDomainSearch - -def -baselineDomainSearch - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.baselineDomainSearch - - -contains - - - -Semantics.Testing.MOIMBenchmark.countLinearSearchOps - -def -countLinearSearchOps - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.countLinearSearchOps - - -contains - - - -Semantics.Testing.MOIMBenchmark.countFractalSearchOps - -def -countFractalSearchOps - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.countFractalSearchOps - - -contains - - - -Semantics.Testing.MOIMBenchmark.benchmarkENESearch - -def -benchmarkENESearch - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.benchmarkENESearch - - -contains - - - -Semantics.Testing.MOIMBenchmark.countGridSamples - -def -countGridSamples - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.countGridSamples - - -contains - - - -Semantics.Testing.MOIMBenchmark.countSpiralSamples - -def -countSpiralSamples - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.countSpiralSamples - - -contains - - - -Semantics.Testing.MOIMBenchmark.benchmarkGoldenSpiral - -def -benchmarkGoldenSpiral - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.benchmarkGoldenSpiral - - -contains - - - -Semantics.Testing.MOIMBenchmark.countQ16DivOps - -def -countQ16DivOps - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.countQ16DivOps - - -contains - - - -Semantics.Testing.MOIMBenchmark.countPhinaryDivOps - -def -countPhinaryDivOps - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.countPhinaryDivOps - - -contains - - - -Semantics.Testing.MOIMBenchmark.benchmarkPhinaryDivision - -def -benchmarkPhinaryDivision - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.benchmarkPhinaryDivision - - -contains - - - -Semantics.Testing.MOIMBenchmark.testPhinaryDivisionPerformance - -def -testPhinaryDivisionPerformance - - - -Semantics.Testing.MOIMBenchmark->Semantics.Testing.MOIMBenchmark.testPhinaryDivisionPerformance - - -contains - - - -Semantics.Testing.NominalParameterTest - -module -NominalParameterTest - - - -Semantics.Testing.NominalParameterTest->Semantics.Testing.ExtremeParameterTest - - -imports - - - -Semantics.Testing.NominalParameterTest.makeNominalQuizInput - -def -makeNominalQuizInput - - - -Semantics.Testing.NominalParameterTest->Semantics.Testing.NominalParameterTest.makeNominalQuizInput - - -contains - - - -Semantics.Testing.NominalParameterTest.nominalQuizBank - -def -nominalQuizBank - - - -Semantics.Testing.NominalParameterTest->Semantics.Testing.NominalParameterTest.nominalQuizBank - - -contains - - - -Semantics.Testing.NominalParameterTest.runNominalQuiz - -def -runNominalQuiz - - - -Semantics.Testing.NominalParameterTest->Semantics.Testing.NominalParameterTest.runNominalQuiz - - -contains - - - -Semantics.Testing.NominalParameterTest.testNominalMath - -def -testNominalMath - - - -Semantics.Testing.NominalParameterTest->Semantics.Testing.NominalParameterTest.testNominalMath - - -contains - - - -Semantics.Testing.NominalParameterTest.testNominalPublicData - -def -testNominalPublicData - - - -Semantics.Testing.NominalParameterTest->Semantics.Testing.NominalParameterTest.testNominalPublicData - - -contains - - - -Semantics.Testing.OpenWormInvariantTest - -module -OpenWormInvariantTest - - - -Semantics.Testing.OpenWormInvariantTest->Semantics.Testing.ExtremeParameterTest - - -imports - - - -Semantics.Testing.OpenWormInvariantTest.openWormInvariantQuizBank - -def -openWormInvariantQuizBank - - - -Semantics.Testing.OpenWormInvariantTest->Semantics.Testing.OpenWormInvariantTest.openWormInvariantQuizBank - - -contains - - - -Semantics.Testing.OpenWormInvariantTest.runOpenWormInvariantQuiz - -def -runOpenWormInvariantQuiz - - - -Semantics.Testing.OpenWormInvariantTest->Semantics.Testing.OpenWormInvariantTest.runOpenWormInvariantQuiz - - -contains - - - -Semantics.Testing.PersonhoodBoundaryTest - -module -PersonhoodBoundaryTest - - - -Semantics.Testing.PersonhoodBoundaryTest->Semantics.Testing.ExtremeParameterTest - - -imports - - - -Semantics.Testing.PersonhoodBoundaryTest.personhoodBoundaryQuizBank - -def -personhoodBoundaryQuizBank - - - -Semantics.Testing.PersonhoodBoundaryTest->Semantics.Testing.PersonhoodBoundaryTest.personhoodBoundaryQuizBank - - -contains - - - -Semantics.Testing.PersonhoodBoundaryTest.runPersonhoodBoundaryQuiz - -def -runPersonhoodBoundaryQuiz - - - -Semantics.Testing.PersonhoodBoundaryTest->Semantics.Testing.PersonhoodBoundaryTest.runPersonhoodBoundaryQuiz - - -contains - - - -Semantics.Testing.PhaseOrderingTest - -module -PhaseOrderingTest - - - -Semantics.Testing.PhaseOrderingTest->Semantics.ManifoldNetworking - - -imports - - - -Semantics.Testing.PhaseOrderingTest.phaseOrderingQuizBank - -def -phaseOrderingQuizBank - - - -Semantics.Testing.PhaseOrderingTest->Semantics.Testing.PhaseOrderingTest.phaseOrderingQuizBank - - -contains - - - -Semantics.Testing.PhaseOrderingTest.runPhaseOrderingQuiz - -def -runPhaseOrderingQuiz - - - -Semantics.Testing.PhaseOrderingTest->Semantics.Testing.PhaseOrderingTest.runPhaseOrderingQuiz - - -contains - - - -Semantics.Testing.PhaseOrderingTest.testPhaseOrdering - -def -testPhaseOrdering - - - -Semantics.Testing.PhaseOrderingTest->Semantics.Testing.PhaseOrderingTest.testPhaseOrdering - - -contains - - - -Semantics.Testing.PrivacyBypassTest - -module -PrivacyBypassTest - - - -Semantics.Testing.PrivacyBypassTest->Semantics.Testing.ExtremeParameterTest - - -imports - - - -Semantics.Testing.PrivacyBypassTest.privacyBypassQuizBank - -def -privacyBypassQuizBank - - - -Semantics.Testing.PrivacyBypassTest->Semantics.Testing.PrivacyBypassTest.privacyBypassQuizBank - - -contains - - - -Semantics.Testing.PrivacyBypassTest.runPrivacyBypassQuiz - -def -runPrivacyBypassQuiz - - - -Semantics.Testing.PrivacyBypassTest->Semantics.Testing.PrivacyBypassTest.runPrivacyBypassQuiz - - -contains - - - -Semantics.Testing.ReceiptReproducibilityTest - -module -ReceiptReproducibilityTest - - - -Semantics.Testing.ReceiptReproducibilityTest->Semantics.Testing.ExtremeParameterTest - - -imports - - - -Semantics.Testing.ReceiptReproducibilityTest.receiptReproducibilityQuizBank - -def -receiptReproducibilityQuizBank - - - -Semantics.Testing.ReceiptReproducibilityTest->Semantics.Testing.ReceiptReproducibilityTest.receiptReproducibilityQuizBank - - -contains - - - -Semantics.Testing.ReceiptReproducibilityTest.runReceiptReproducibilityQuiz - -def -runReceiptReproducibilityQuiz - - - -Semantics.Testing.ReceiptReproducibilityTest->Semantics.Testing.ReceiptReproducibilityTest.runReceiptReproducibilityQuiz - - -contains - - - -Semantics.Testing.ReceiptReproducibilityTest.keeperLawReproducibility - -def -keeperLawReproducibility - - - -Semantics.Testing.ReceiptReproducibilityTest->Semantics.Testing.ReceiptReproducibilityTest.keeperLawReproducibility - - -contains - - - -Semantics.Testing.S3C_test - -module -S3C_test - - - -Semantics.Testing.S3C_test.emitGateSimplified_test - -theorem -emitGateSimplified_test - - - -Semantics.Testing.S3C_test->Semantics.Testing.S3C_test.emitGateSimplified_test - - -contains - - - -Semantics.Testing.S3C_test.shellDecomposition - -def -shellDecomposition - - - -Semantics.Testing.S3C_test->Semantics.Testing.S3C_test.shellDecomposition - - -contains - - - -Semantics.Testing.S3C_test.audioToManifold - -def -audioToManifold - - - -Semantics.Testing.S3C_test->Semantics.Testing.S3C_test.audioToManifold - - -contains - - - -Semantics.Testing.S3C_test.detectContact - -def -detectContact - - - -Semantics.Testing.S3C_test->Semantics.Testing.S3C_test.detectContact - - -contains - - - -Semantics.Testing.S3C_test.computeJScore - -def -computeJScore - - - -Semantics.Testing.S3C_test->Semantics.Testing.S3C_test.computeJScore - - -contains - - - -Semantics.Testing.S3C_test.emissionGate - -def -emissionGate - - - -Semantics.Testing.S3C_test->Semantics.Testing.S3C_test.emissionGate - - -contains - - - -Semantics.Testing.S3C_test.processAudioSample - -def -processAudioSample - - - -Semantics.Testing.S3C_test->Semantics.Testing.S3C_test.processAudioSample - - -contains - - - -Semantics.Testing.S3C_test2 - -module -S3C_test2 - - - -Semantics.Testing.S3C_test2.emitGateSimplified_test - -theorem -emitGateSimplified_test - - - -Semantics.Testing.S3C_test2->Semantics.Testing.S3C_test2.emitGateSimplified_test - - -contains - - - -Semantics.Testing.S3C_test2.shellDecomposition - -def -shellDecomposition - - - -Semantics.Testing.S3C_test2->Semantics.Testing.S3C_test2.shellDecomposition - - -contains - - - -Semantics.Testing.S3C_test2.audioToManifold - -def -audioToManifold - - - -Semantics.Testing.S3C_test2->Semantics.Testing.S3C_test2.audioToManifold - - -contains - - - -Semantics.Testing.S3C_test2.detectContact - -def -detectContact - - - -Semantics.Testing.S3C_test2->Semantics.Testing.S3C_test2.detectContact - - -contains - - - -Semantics.Testing.S3C_test2.computeJScore - -def -computeJScore - - - -Semantics.Testing.S3C_test2->Semantics.Testing.S3C_test2.computeJScore - - -contains - - - -Semantics.Testing.S3C_test2.emissionGate - -def -emissionGate - - - -Semantics.Testing.S3C_test2->Semantics.Testing.S3C_test2.emissionGate - - -contains - - - -Semantics.Testing.S3C_test2.processAudioSample - -def -processAudioSample - - - -Semantics.Testing.S3C_test2->Semantics.Testing.S3C_test2.processAudioSample - - -contains - - - -Semantics.Testing.SigmaDAGTest - -module -SigmaDAGTest - - - -Semantics.Testing.SigmaDAGTest->Semantics.Testing.ExtremeParameterTest - - -imports - - - -Semantics.Testing.SigmaDAGTest.sigmaDAGQuizBank - -def -sigmaDAGQuizBank - - - -Semantics.Testing.SigmaDAGTest->Semantics.Testing.SigmaDAGTest.sigmaDAGQuizBank - - -contains - - - -Semantics.Testing.SigmaDAGTest.runSigmaDAGQuiz - -def -runSigmaDAGQuiz - - - -Semantics.Testing.SigmaDAGTest->Semantics.Testing.SigmaDAGTest.runSigmaDAGQuiz - - -contains - - - -Semantics.Testing.SilhouetteTest - -module -SilhouetteTest - - - -Semantics.Testing.SilhouetteTest.goldenSeeds - -def -goldenSeeds - - - -Semantics.Testing.SilhouetteTest->Semantics.Testing.SilhouetteTest.goldenSeeds - - -contains - - - -Semantics.Testing.SilhouetteTest.silhouetteProgram - -def -silhouetteProgram - - - -Semantics.Testing.SilhouetteTest->Semantics.Testing.SilhouetteTest.silhouetteProgram - - -contains - - - -Semantics.Testing.SilhouetteTest.runExtraction - -def -runExtraction - - - -Semantics.Testing.SilhouetteTest->Semantics.Testing.SilhouetteTest.runExtraction - - -contains - - - -Semantics.Testing.SilhouetteTest.lawfulThreshold - -def -lawfulThreshold - - - -Semantics.Testing.SilhouetteTest->Semantics.Testing.SilhouetteTest.lawfulThreshold - - -contains - - - -Semantics.Testing.SilhouetteTest.extractionResult - -def -extractionResult - - - -Semantics.Testing.SilhouetteTest->Semantics.Testing.SilhouetteTest.extractionResult - - -contains - - - -Semantics.Testing.SilhouetteTest.testIntegrability - -def -testIntegrability - - - -Semantics.Testing.SilhouetteTest->Semantics.Testing.SilhouetteTest.testIntegrability - - -contains - - - -Semantics.Testing.StructuralAttestation - -module -StructuralAttestation - - - -Semantics.Testing.StructuralAttestation.q16_toBits_injective - -theorem -q16_toBits_injective - - - -Semantics.Testing.StructuralAttestation->Semantics.Testing.StructuralAttestation.q16_toBits_injective - - -contains - - - -Semantics.Testing.StructuralAttestation.structural_integrity_reflected_single_component - -theorem -structural_integrity_reflected_single_co - - - -Semantics.Testing.StructuralAttestation->Semantics.Testing.StructuralAttestation.structural_integrity_reflected_single_component - - -contains - - - -Semantics.Testing.StructuralAttestation.mechanicalHash - -def -mechanicalHash - - - -Semantics.Testing.StructuralAttestation->Semantics.Testing.StructuralAttestation.mechanicalHash - - -contains - - - -Semantics.Testing.StructuralAttestation.rootHash - -def -rootHash - - - -Semantics.Testing.StructuralAttestation->Semantics.Testing.StructuralAttestation.rootHash - - -contains - - - -Semantics.Testing.StructuralAttestation.mkNode - -def -mkNode - - - -Semantics.Testing.StructuralAttestation->Semantics.Testing.StructuralAttestation.mkNode - - -contains - - - -Semantics.Testing.StructuralAttestation.idealManifoldHash - -def -idealManifoldHash - - - -Semantics.Testing.StructuralAttestation->Semantics.Testing.StructuralAttestation.idealManifoldHash - - -contains - - - -Semantics.Testing.StructuralAttestation.isStructurallyAdmissible - -def -isStructurallyAdmissible - - - -Semantics.Testing.StructuralAttestation->Semantics.Testing.StructuralAttestation.isStructurallyAdmissible - - -contains - - - -Semantics.Testing.StructuralAttestation.securityVeto - -def -securityVeto - - - -Semantics.Testing.StructuralAttestation->Semantics.Testing.StructuralAttestation.securityVeto - - -contains - - - -Semantics.Testing.StructuralAttestation.structuralBind - -def -structuralBind - - - -Semantics.Testing.StructuralAttestation->Semantics.Testing.StructuralAttestation.structuralBind - - -contains - - - -Semantics.Testing.StructuralAttestation.healthyLeaf - -def -healthyLeaf - - - -Semantics.Testing.StructuralAttestation->Semantics.Testing.StructuralAttestation.healthyLeaf - - -contains - - - -Semantics.Testing.StructuralAttestation.healthyTree - -def -healthyTree - - - -Semantics.Testing.StructuralAttestation->Semantics.Testing.StructuralAttestation.healthyTree - - -contains - - - -Semantics.Testing.StructuralAttestation.damagedLeaf - -def -damagedLeaf - - - -Semantics.Testing.StructuralAttestation->Semantics.Testing.StructuralAttestation.damagedLeaf - - -contains - - - -Semantics.Testing.StructuralAttestation.damagedTree - -def -damagedTree - - - -Semantics.Testing.StructuralAttestation->Semantics.Testing.StructuralAttestation.damagedTree - - -contains - - - -Semantics.Testing.TestTactics - -module -TestTactics - - - -Semantics.Testing.TestTactics.test_ring - -theorem -test_ring - - - -Semantics.Testing.TestTactics->Semantics.Testing.TestTactics.test_ring - - -contains - - - -Semantics.Testing.TestTactics.test_omega - -theorem -test_omega - - - -Semantics.Testing.TestTactics->Semantics.Testing.TestTactics.test_omega - - -contains - - - -Semantics.Testing.TestTactics.test_native_decide - -theorem -test_native_decide - - - -Semantics.Testing.TestTactics->Semantics.Testing.TestTactics.test_native_decide - - -contains - - - -Semantics.Testing.Tests - -module -Tests - - - -Semantics.Testing.Tests.graph_contains_run - -theorem -graph_contains_run - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.graph_contains_run - - -contains - - - -Semantics.Testing.Tests.run_has_move - -theorem -run_has_move - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.run_has_move - - -contains - - - -Semantics.Testing.Tests.example_path_is_lawful - -theorem -example_path_is_lawful - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.example_path_is_lawful - - -contains - - - -Semantics.Testing.Tests.example_path_length - -theorem -example_path_length - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.example_path_length - - -contains - - - -Semantics.Testing.Tests.full_groundedness_habitable - -theorem -full_groundedness_habitable - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.full_groundedness_habitable - - -contains - - - -Semantics.Testing.Tests.constitution_admits_full - -theorem -constitution_admits_full - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.constitution_admits_full - - -contains - - - -Semantics.Testing.Tests.dna_kpz_projection_preserved - -theorem -dna_kpz_projection_preserved - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.dna_kpz_projection_preserved - - -contains - - - -Semantics.Testing.Tests.dna_kpz_collapse_preserved - -theorem -dna_kpz_collapse_preserved - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.dna_kpz_collapse_preserved - - -contains - - - -Semantics.Testing.Tests.dna_kpz_evolution_preserved - -theorem -dna_kpz_evolution_preserved - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.dna_kpz_evolution_preserved - - -contains - - - -Semantics.Testing.Tests.dna_object_has_universal_semantics - -theorem -dna_object_has_universal_semantics - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.dna_object_has_universal_semantics - - -contains - - - -Semantics.Testing.Tests.dna_kpz_classification - -theorem -dna_kpz_classification - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.dna_kpz_classification - - -contains - - - -Semantics.Testing.Tests.dna_dp_classification - -theorem -dna_dp_classification - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.dna_dp_classification - - -contains - - - -Semantics.Testing.Tests.run_decomposition_faithful - -theorem -run_decomposition_faithful - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.run_decomposition_faithful - - -contains - - - -Semantics.Testing.Tests.run_decomposition_nonempty - -theorem -run_decomposition_nonempty - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.run_decomposition_nonempty - - -contains - - - -Semantics.Testing.Tests.example_scalar_collapse_admissible - -theorem -example_scalar_collapse_admissible - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.example_scalar_collapse_admissible - - -contains - - - -Semantics.Testing.Tests.example_scalar_has_atomic_ancestry - -theorem -example_scalar_has_atomic_ancestry - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.example_scalar_has_atomic_ancestry - - -contains - - - -Semantics.Testing.Tests.example_scalar_has_lawful_history - -theorem -example_scalar_has_lawful_history - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.example_scalar_has_lawful_history - - -contains - - - -Semantics.Testing.Tests.canonical_observation_schema_preserved - -theorem -canonical_observation_schema_preserved - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.canonical_observation_schema_preserved - - -contains - - - -Semantics.Testing.Tests.safe_input_passes_filter - -theorem -safe_input_passes_filter - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.safe_input_passes_filter - - -contains - - - -Semantics.Testing.Tests.canonical_observation_deterministic - -theorem -canonical_observation_deterministic - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.canonical_observation_deterministic - - -contains - - - -Semantics.Testing.Tests.test_schema_core_admissible - -theorem -test_schema_core_admissible - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.test_schema_core_admissible - - -contains - - - -Semantics.Testing.Tests.duplicate_field_names_rejected - -theorem -duplicate_field_names_rejected - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.duplicate_field_names_rejected - - -contains - - - -Semantics.Testing.Tests.example_modification_admissible - -theorem -example_modification_admissible - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.example_modification_admissible - - -contains - - - -Semantics.Testing.Tests.example_modification_auditability - -theorem -example_modification_auditability - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.example_modification_auditability - - -contains - - - -Semantics.Testing.Tests.empty_graph_no_quarantine - -theorem -empty_graph_no_quarantine - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.empty_graph_no_quarantine - - -contains - - - -Semantics.Testing.Tests.grounded_universe_admits_full - -theorem -grounded_universe_admits_full - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.grounded_universe_admits_full - - -contains - - - -Semantics.Testing.Tests.constitution_requires_scalar_cert - -theorem -constitution_requires_scalar_cert - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.constitution_requires_scalar_cert - - -contains - - - -Semantics.Testing.Tests.master_constitution_enforces_atomic_basis - -theorem -master_constitution_enforces_atomic_basi - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.master_constitution_enforces_atomic_basis - - -contains - - - -Semantics.Testing.Tests.example_graph_no_active_quarantine - -theorem -example_graph_no_active_quarantine - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.example_graph_no_active_quarantine - - -contains - - - -Semantics.Testing.Tests.run_decomposition_not_unfaithful - -theorem -run_decomposition_not_unfaithful - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.run_decomposition_not_unfaithful - - -contains - - - -Semantics.Testing.Tests.killLemma - -def -killLemma - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.killLemma - - -contains - - - -Semantics.Testing.Tests.kill_is_agentive - -def -kill_is_agentive - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.kill_is_agentive - - -contains - - - -Semantics.Testing.Tests.processAgentiveAction - -def -processAgentiveAction - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.processAgentiveAction - - -contains - - - -Semantics.Testing.Tests.test_execution - -def -test_execution - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.test_execution - - -contains - - - -Semantics.Testing.Tests.runLemma - -def -runLemma - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.runLemma - - -contains - - - -Semantics.Testing.Tests.exampleGraph - -def -exampleGraph - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.exampleGraph - - -contains - - - -Semantics.Testing.Tests.step1 - -def -step1 - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.step1 - - -contains - - - -Semantics.Testing.Tests.examplePath - -def -examplePath - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.examplePath - - -contains - - - -Semantics.Testing.Tests.exampleWitness - -def -exampleWitness - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.exampleWitness - - -contains - - - -Semantics.Testing.Tests.fullGroundedness - -def -fullGroundedness - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.fullGroundedness - - -contains - - - -Semantics.Testing.Tests.runDecomposition - -def -runDecomposition - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.runDecomposition - - -contains - - - -Semantics.Testing.Tests.exampleScalarCollapse - -def -exampleScalarCollapse - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.exampleScalarCollapse - - -contains - - - -Semantics.Testing.Tests.testSchema - -def -testSchema - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.testSchema - - -contains - - - -Semantics.Testing.Tests.canonicalObservation - -def -canonicalObservation - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.canonicalObservation - - -contains - - - -Semantics.Testing.Tests.emojiFilter - -def -emojiFilter - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.emojiFilter - - -contains - - - -Semantics.Testing.Tests.safeSource - -def -safeSource - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.safeSource - - -contains - - - -Semantics.Testing.Tests.trivialEvolutionContract - -def -trivialEvolutionContract - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.trivialEvolutionContract - - -contains - - - -Semantics.Testing.Tests.trivialAuditSurface - -def -trivialAuditSurface - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.trivialAuditSurface - - -contains - - - -Semantics.Testing.Tests.exampleModification - -def -exampleModification - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.exampleModification - - -contains - - - -Semantics.Testing.Tests.emptyReport - -def -emptyReport - - - -Semantics.Testing.Tests->Semantics.Testing.Tests.emptyReport - - -contains - - - -Semantics.Testing.TorsionalTest - -module -TorsionalTest - - - -Semantics.Testing.TorsionalTest.getRowList - -def -getRowList - - - -Semantics.Testing.TorsionalTest->Semantics.Testing.TorsionalTest.getRowList - - -contains - - - -Semantics.Testing.TorsionalTest.testGridRefresh - -def -testGridRefresh - - - -Semantics.Testing.TorsionalTest->Semantics.Testing.TorsionalTest.testGridRefresh - - -contains - - - -Semantics.Testing.TorsionalTest.testNetworkRAM - -def -testNetworkRAM - - - -Semantics.Testing.TorsionalTest->Semantics.Testing.TorsionalTest.testNetworkRAM - - -contains - - - -Semantics.TorsionalPIST - -module -TorsionalPIST - - - -Semantics.Testing.TorsionalTest->Semantics.TorsionalPIST - - -imports - - - -Semantics.Testing.VirtualGPUBenchmark - -module -VirtualGPUBenchmark - - - -Semantics.Testing.VirtualGPUBenchmark.zero - -def -zero - - - -Semantics.Testing.VirtualGPUBenchmark->Semantics.Testing.VirtualGPUBenchmark.zero - - -contains - - - -Semantics.Testing.VirtualGPUBenchmark.one - -def -one - - - -Semantics.Testing.VirtualGPUBenchmark->Semantics.Testing.VirtualGPUBenchmark.one - - -contains - - - -Semantics.Testing.VirtualGPUBenchmark.ofNat - -def -ofNat - - - -Semantics.Testing.VirtualGPUBenchmark->Semantics.Testing.VirtualGPUBenchmark.ofNat - - -contains - - - -Semantics.Testing.VirtualGPUBenchmark.toNat - -def -toNat - - - -Semantics.Testing.VirtualGPUBenchmark->Semantics.Testing.VirtualGPUBenchmark.toNat - - -contains - - - -Semantics.Testing.VirtualGPUBenchmark.ofFrac - -def -ofFrac - - - -Semantics.Testing.VirtualGPUBenchmark->Semantics.Testing.VirtualGPUBenchmark.ofFrac - - -contains - - - -Semantics.Testing.VirtualGPUBenchmark.getBenchmarkBaseline - -def -getBenchmarkBaseline - - - -Semantics.Testing.VirtualGPUBenchmark->Semantics.Testing.VirtualGPUBenchmark.getBenchmarkBaseline - - -contains - - - -Semantics.Testing.VirtualGPUBenchmark.calculateEfficiency - -def -calculateEfficiency - - - -Semantics.Testing.VirtualGPUBenchmark->Semantics.Testing.VirtualGPUBenchmark.calculateEfficiency - - -contains - - - -Semantics.Testing.VirtualGPUBenchmark.calculateDistributedResult - -def -calculateDistributedResult - - - -Semantics.Testing.VirtualGPUBenchmark->Semantics.Testing.VirtualGPUBenchmark.calculateDistributedResult - - -contains - - - -Semantics.Testing.VirtualGPUBenchmark.createBenchmarkResult - -def -createBenchmarkResult - - - -Semantics.Testing.VirtualGPUBenchmark->Semantics.Testing.VirtualGPUBenchmark.createBenchmarkResult - - -contains - - - -Semantics.Testing.VirtualGPUBenchmark.calculateBenchmarkSummary - -def -calculateBenchmarkSummary - - - -Semantics.Testing.VirtualGPUBenchmark->Semantics.Testing.VirtualGPUBenchmark.calculateBenchmarkSummary - - -contains - - - -Semantics.Testing.VirtualGPUTestbench - -module -VirtualGPUTestbench - - - -Semantics.Testing.VirtualGPUTestbench.zero - -def -zero - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.zero - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.one - -def -one - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.one - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.ofNat - -def -ofNat - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.ofNat - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.toNat - -def -toNat - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.toNat - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.ofFrac - -def -ofFrac - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.ofFrac - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.calculateEffectiveBandwidth - -def -calculateEffectiveBandwidth - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.calculateEffectiveBandwidth - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.calculateBandwidth - -def -calculateBandwidth - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.calculateBandwidth - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.calculateCompressionRatio - -def -calculateCompressionRatio - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.calculateCompressionRatio - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.targetBindCompressionRatio - -def -targetBindCompressionRatio - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.targetBindCompressionRatio - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.calculateDistributedLatency - -def -calculateDistributedLatency - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.calculateDistributedLatency - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.calculateThroughput - -def -calculateThroughput - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.calculateThroughput - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.targetInferenceThroughput - -def -targetInferenceThroughput - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.targetInferenceThroughput - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.calculateCurvatureEfficiency - -def -calculateCurvatureEfficiency - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.calculateCurvatureEfficiency - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.calculateTriumvirateOverhead - -def -calculateTriumvirateOverhead - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.calculateTriumvirateOverhead - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.standardTriumvirateTimes - -def -standardTriumvirateTimes - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.standardTriumvirateTimes - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.calculateExpansionAnalysis - -def -calculateExpansionAnalysis - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.calculateExpansionAnalysis - - -contains - - - -Semantics.Testing.VirtualGPUTestbench.createBenchmarkResult - -def -createBenchmarkResult - - - -Semantics.Testing.VirtualGPUTestbench->Semantics.Testing.VirtualGPUTestbench.createBenchmarkResult - - -contains - - - -Semantics.Testing.WorkloadTestbench - -module -WorkloadTestbench - - - -Semantics.Testing.WorkloadTestbench.zero - -def -zero - - - -Semantics.Testing.WorkloadTestbench->Semantics.Testing.WorkloadTestbench.zero - - -contains - - - -Semantics.Testing.WorkloadTestbench.one - -def -one - - - -Semantics.Testing.WorkloadTestbench->Semantics.Testing.WorkloadTestbench.one - - -contains - - - -Semantics.Testing.WorkloadTestbench.ofNat - -def -ofNat - - - -Semantics.Testing.WorkloadTestbench->Semantics.Testing.WorkloadTestbench.ofNat - - -contains - - - -Semantics.Testing.WorkloadTestbench.toNat - -def -toNat - - - -Semantics.Testing.WorkloadTestbench->Semantics.Testing.WorkloadTestbench.toNat - - -contains - - - -Semantics.Testing.WorkloadTestbench.ofFrac - -def -ofFrac - - - -Semantics.Testing.WorkloadTestbench->Semantics.Testing.WorkloadTestbench.ofFrac - - -contains - - - -Semantics.Testing.WorkloadTestbench.calculateMSAMemory - -def -calculateMSAMemory - - - -Semantics.Testing.WorkloadTestbench->Semantics.Testing.WorkloadTestbench.calculateMSAMemory - - -contains - - - -Semantics.Testing.WorkloadTestbench.calculatePairMemory - -def -calculatePairMemory - - - -Semantics.Testing.WorkloadTestbench->Semantics.Testing.WorkloadTestbench.calculatePairMemory - - -contains - - - -Semantics.Testing.WorkloadTestbench.calculateMDMemory - -def -calculateMDMemory - - - -Semantics.Testing.WorkloadTestbench->Semantics.Testing.WorkloadTestbench.calculateMDMemory - - -contains - - - -Semantics.Testing.WorkloadTestbench.calculateNNMemory - -def -calculateNNMemory - - - -Semantics.Testing.WorkloadTestbench->Semantics.Testing.WorkloadTestbench.calculateNNMemory - - -contains - - - -Semantics.Testing.WorkloadTestbench.createProteinFoldingResult - -def -createProteinFoldingResult - - - -Semantics.Testing.WorkloadTestbench->Semantics.Testing.WorkloadTestbench.createProteinFoldingResult - - -contains - - - -Semantics.Testing.WorkloadTestbench.createMDResult - -def -createMDResult - - - -Semantics.Testing.WorkloadTestbench->Semantics.Testing.WorkloadTestbench.createMDResult - - -contains - - - -Semantics.Testing.WorkloadTestbench.createNNTrainingResult - -def -createNNTrainingResult - - - -Semantics.Testing.WorkloadTestbench->Semantics.Testing.WorkloadTestbench.createNNTrainingResult - - -contains - - - -Semantics.Testing.WorkloadTestbench.calculateTestbenchSummary - -def -calculateTestbenchSummary - - - -Semantics.Testing.WorkloadTestbench->Semantics.Testing.WorkloadTestbench.calculateTestbenchSummary - - -contains - - - -Semantics.Testing.ZKBenchmarkCapsule - -module -ZKBenchmarkCapsule - - - -Semantics.Testing.ZKBenchmarkCapsule.verifyZKClaim - -def -verifyZKClaim - - - -Semantics.Testing.ZKBenchmarkCapsule->Semantics.Testing.ZKBenchmarkCapsule.verifyZKClaim - - -contains - - - -Semantics.Testing.ZKBenchmarkCapsule.createOpenWormZKCapsule - -def -createOpenWormZKCapsule - - - -Semantics.Testing.ZKBenchmarkCapsule->Semantics.Testing.ZKBenchmarkCapsule.createOpenWormZKCapsule - - -contains - - - -Semantics.Testing.ZKBenchmarkCapsule.openWormZKClaim - -def -openWormZKClaim - - - -Semantics.Testing.ZKBenchmarkCapsule->Semantics.Testing.ZKBenchmarkCapsule.openWormZKClaim - - -contains - - - -Semantics.Testing.ZKBenchmarkCapsule.verifyOpenWormZKClaim - -def -verifyOpenWormZKClaim - - - -Semantics.Testing.ZKBenchmarkCapsule->Semantics.Testing.ZKBenchmarkCapsule.verifyOpenWormZKClaim - - -contains - - - -Semantics.Testing.ZKBenchmarkCapsule.zkPrivacyConstraint - -def -zkPrivacyConstraint - - - -Semantics.Testing.ZKBenchmarkCapsule->Semantics.Testing.ZKBenchmarkCapsule.zkPrivacyConstraint - - -contains - - - -Semantics.Testing.ZKBenchmarkCapsule->Semantics.ExtremeParameterTest - - -imports - - - -Semantics.ThermodynamicSort - -module -ThermodynamicSort - - - -Semantics.ThermodynamicSort->Semantics.FixedPoint - - -imports - - - -Semantics.ThermodynamicSort.dissipativeThreshold - -def -dissipativeThreshold - - - -Semantics.ThermodynamicSort->Semantics.ThermodynamicSort.dissipativeThreshold - - -contains - - - -Semantics.ThermodynamicSort.landauerThreshold - -def -landauerThreshold - - - -Semantics.ThermodynamicSort->Semantics.ThermodynamicSort.landauerThreshold - - -contains - - - -Semantics.ThermodynamicSort.getThermoFlag - -def -getThermoFlag - - - -Semantics.ThermodynamicSort->Semantics.ThermodynamicSort.getThermoFlag - - -contains - - - -Semantics.ThermodynamicSort.isLawfulThermoSort - -def -isLawfulThermoSort - - - -Semantics.ThermodynamicSort->Semantics.ThermodynamicSort.isLawfulThermoSort - - -contains - - - -Semantics.ThermodynamicSort.thermoBind - -def -thermoBind - - - -Semantics.ThermodynamicSort->Semantics.ThermodynamicSort.thermoBind - - -contains - - - -Semantics.ThresholdVector - -module -ThresholdVector - - - -Semantics.ThresholdVector.zero_state_is_latent - -theorem -zero_state_is_latent - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.zero_state_is_latent - - -contains - - - -Semantics.ThresholdVector.full_state_with_stress_weights_is_active - -theorem -full_state_with_stress_weights_is_active - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.full_state_with_stress_weights_is_active - - -contains - - - -Semantics.ThresholdVector.stress_state_is_smooth - -theorem -stress_state_is_smooth - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.stress_state_is_smooth - - -contains - - - -Semantics.ThresholdVector.stress_coupling_is_turbulent - -theorem -stress_coupling_is_turbulent - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.stress_coupling_is_turbulent - - -contains - - - -Semantics.ThresholdVector.residual_only_is_diverging - -theorem -residual_only_is_diverging - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.residual_only_is_diverging - - -contains - - - -Semantics.ThresholdVector.all_but_residual_is_active - -theorem -all_but_residual_is_active - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.all_but_residual_is_active - - -contains - - - -Semantics.ThresholdVector.zero_state_is_grounded - -theorem -zero_state_is_grounded - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.zero_state_is_grounded - - -contains - - - -Semantics.ThresholdVector.full_active_state_is_flame - -theorem -full_active_state_is_flame - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.full_active_state_is_flame - - -contains - - - -Semantics.ThresholdVector.zero_state_not_critical - -theorem -zero_state_not_critical - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.zero_state_not_critical - - -contains - - - -Semantics.ThresholdVector.full_state_is_critical - -theorem -full_state_is_critical - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.full_state_is_critical - - -contains - - - -Semantics.ThresholdVector.threshold_crossed_gt_works - -theorem -threshold_crossed_gt_works - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.threshold_crossed_gt_works - - -contains - - - -Semantics.ThresholdVector.threshold_crossed_lt_works - -theorem -threshold_crossed_lt_works - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.threshold_crossed_lt_works - - -contains - - - -Semantics.ThresholdVector.total_activation_zero_state_is_zero - -theorem -total_activation_zero_state_is_zero - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.total_activation_zero_state_is_zero - - -contains - - - -Semantics.ThresholdVector.total_activation_full_state_nonzero - -theorem -total_activation_full_state_nonzero - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.total_activation_full_state_nonzero - - -contains - - - -Semantics.ThresholdVector.stress_dominant_gt_uniform_on_stress_state - -theorem -stress_dominant_gt_uniform_on_stress_sta - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.stress_dominant_gt_uniform_on_stress_state - - -contains - - - -Semantics.ThresholdVector.criticalActivationThreshold - -def -criticalActivationThreshold - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.criticalActivationThreshold - - -contains - - - -Semantics.ThresholdVector.defaultThresholds - -def -defaultThresholds - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.defaultThresholds - - -contains - - - -Semantics.ThresholdVector.uniformWeights - -def -uniformWeights - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.uniformWeights - - -contains - - - -Semantics.ThresholdVector.stressDominantWeights - -def -stressDominantWeights - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.stressDominantWeights - - -contains - - - -Semantics.ThresholdVector.couplingDominantWeights - -def -couplingDominantWeights - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.couplingDominantWeights - - -contains - - - -Semantics.ThresholdVector.thresholdCrossed - -def -thresholdCrossed - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.thresholdCrossed - - -contains - - - -Semantics.ThresholdVector.activationExcess - -def -activationExcess - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.activationExcess - - -contains - - - -Semantics.ThresholdVector.totalActivation - -def -totalActivation - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.totalActivation - - -contains - - - -Semantics.ThresholdVector.isCriticallyActivated - -def -isCriticallyActivated - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.isCriticallyActivated - - -contains - - - -Semantics.ThresholdVector.evaluateActivation - -def -evaluateActivation - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.evaluateActivation - - -contains - - - -Semantics.ThresholdVector.verdictToRegime - -def -verdictToRegime - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.verdictToRegime - - -contains - - - -Semantics.ThresholdVector.zeroActivationState - -def -zeroActivationState - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.zeroActivationState - - -contains - - - -Semantics.ThresholdVector.fullActivationState - -def -fullActivationState - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.fullActivationState - - -contains - - - -Semantics.ThresholdVector.stressOnlyState - -def -stressOnlyState - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.stressOnlyState - - -contains - - - -Semantics.ThresholdVector.approachingIgnitionState - -def -approachingIgnitionState - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.approachingIgnitionState - - -contains - - - -Semantics.ThresholdVector.allButResidualState - -def -allButResidualState - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.allButResidualState - - -contains - - - -Semantics.ThresholdVector.residualOnlyState - -def -residualOnlyState - - - -Semantics.ThresholdVector->Semantics.ThresholdVector.residualOnlyState - - -contains - - - -Semantics.TileFlipConsensus - -module -TileFlipConsensus - - - -Semantics.TileFlipConsensus.countVotesNonNegative - -theorem -countVotesNonNegative - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.countVotesNonNegative - - -contains - - - -Semantics.TileFlipConsensus.hasTwoThirdsMajorityImpliesSufficientVotes - -theorem -hasTwoThirdsMajorityImpliesSufficientVot - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.hasTwoThirdsMajorityImpliesSufficientVotes - - -contains - - - -Semantics.TileFlipConsensus.transitionToVotingChangesPhase - -theorem -transitionToVotingChangesPhase - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.transitionToVotingChangesPhase - - -contains - - - -Semantics.TileFlipConsensus.addVoteIncreasesVoteCount - -theorem -addVoteIncreasesVoteCount - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.addVoteIncreasesVoteCount - - -contains - - - -Semantics.TileFlipConsensus.zero - -def -zero - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.zero - - -contains - - - -Semantics.TileFlipConsensus.one - -def -one - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.one - - -contains - - - -Semantics.TileFlipConsensus.ofFrac - -def -ofFrac - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.ofFrac - - -contains - - - -Semantics.TileFlipConsensus.createProposal - -def -createProposal - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.createProposal - - -contains - - - -Semantics.TileFlipConsensus.createVote - -def -createVote - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.createVote - - -contains - - - -Semantics.TileFlipConsensus.addVote - -def -addVote - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.addVote - - -contains - - - -Semantics.TileFlipConsensus.countVotes - -def -countVotes - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.countVotes - - -contains - - - -Semantics.TileFlipConsensus.hasTwoThirdsMajority - -def -hasTwoThirdsMajority - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.hasTwoThirdsMajority - - -contains - - - -Semantics.TileFlipConsensus.transitionToVoting - -def -transitionToVoting - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.transitionToVoting - - -contains - - - -Semantics.TileFlipConsensus.transitionToCommit - -def -transitionToCommit - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.transitionToCommit - - -contains - - - -Semantics.TileFlipConsensus.transitionToReplication - -def -transitionToReplication - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.transitionToReplication - - -contains - - - -Semantics.TileFlipConsensus.applyCommittedFlip - -def -applyCommittedFlip - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.applyCommittedFlip - - -contains - - - -Semantics.TileFlipConsensus.initializeConsensusState - -def -initializeConsensusState - - - -Semantics.TileFlipConsensus->Semantics.TileFlipConsensus.initializeConsensusState - - -contains - - - -Semantics.TileStateMachine - -module -TileStateMachine - - - -Semantics.TileStateMachine.libertyTransitionRequiresEmptyNeighbor - -theorem -libertyTransitionRequiresEmptyNeighbor - - - -Semantics.TileStateMachine->Semantics.TileStateMachine.libertyTransitionRequiresEmptyNeighbor - - -contains - - - -Semantics.TileStateMachine.captureTransitionRequiresNoLiberty - -theorem -captureTransitionRequiresNoLiberty - - - -Semantics.TileStateMachine->Semantics.TileStateMachine.captureTransitionRequiresNoLiberty - - -contains - - - -Semantics.TileStateMachine.koPreventsShapeRepetition - -theorem -koPreventsShapeRepetition - - - -Semantics.TileStateMachine->Semantics.TileStateMachine.koPreventsShapeRepetition - - -contains - - - -Semantics.TileStateMachine.capturedToEmptyAlwaysAllowed - -theorem -capturedToEmptyAlwaysAllowed - - - -Semantics.TileStateMachine->Semantics.TileStateMachine.capturedToEmptyAlwaysAllowed - - -contains - - - -Semantics.TileStateMachine.zero - -def -zero - - - -Semantics.TileStateMachine->Semantics.TileStateMachine.zero - - -contains - - - -Semantics.TileStateMachine.one - -def -one - - - -Semantics.TileStateMachine->Semantics.TileStateMachine.one - - -contains - - - -Semantics.TileStateMachine.ofFrac - -def -ofFrac - - - -Semantics.TileStateMachine->Semantics.TileStateMachine.ofFrac - - -contains - - - -Semantics.TileStateMachine.hasLiberty - -def -hasLiberty - - - -Semantics.TileStateMachine->Semantics.TileStateMachine.hasLiberty - - -contains - - - -Semantics.TileStateMachine.canCapture - -def -canCapture - - - -Semantics.TileStateMachine->Semantics.TileStateMachine.canCapture - - -contains - - - -Semantics.TileStateMachine.wouldRepeatShape - -def -wouldRepeatShape - - - -Semantics.TileStateMachine->Semantics.TileStateMachine.wouldRepeatShape - - -contains - - - -Semantics.TileStateMachine.canTransition - -def -canTransition - - - -Semantics.TileStateMachine->Semantics.TileStateMachine.canTransition - - -contains - - - -Semantics.TileStateMachine.flipTile - -def -flipTile - - - -Semantics.TileStateMachine->Semantics.TileStateMachine.flipTile - - -contains - - - -Semantics.TileStateMachine.createEmptyGrid - -def -createEmptyGrid - - - -Semantics.TileStateMachine->Semantics.TileStateMachine.createEmptyGrid - - -contains - - - -Semantics.Timing - -module -Timing - - - -Semantics.Timing.tBaseCAS - -def -tBaseCAS - - - -Semantics.Timing->Semantics.Timing.tBaseCAS - - -contains - - - -Semantics.Timing.tBaseREF - -def -tBaseREF - - - -Semantics.Timing->Semantics.Timing.tBaseREF - - -contains - - - -Semantics.Timing.tBaseHammer - -def -tBaseHammer - - - -Semantics.Timing->Semantics.Timing.tBaseHammer - - -contains - - - -Semantics.Timing.tMinFactor - -def -tMinFactor - - - -Semantics.Timing->Semantics.Timing.tMinFactor - - -contains - - - -Semantics.Timing.clampFactor - -def -clampFactor - - - -Semantics.Timing->Semantics.Timing.clampFactor - - -contains - - - -Semantics.Timing.maxRefreshFactor - -def -maxRefreshFactor - - - -Semantics.Timing->Semantics.Timing.maxRefreshFactor - - -contains - - - -Semantics.Timing.calculateTCL - -def -calculateTCL - - - -Semantics.Timing->Semantics.Timing.calculateTCL - - -contains - - - -Semantics.Timing.calculateMRE - -def -calculateMRE - - - -Semantics.Timing->Semantics.Timing.calculateMRE - - -contains - - - -Semantics.Timing.calculateDLL - -def -calculateDLL - - - -Semantics.Timing->Semantics.Timing.calculateDLL - - -contains - - - -Semantics.Timing.deriveTiming - -def -deriveTiming - - - -Semantics.Timing->Semantics.Timing.deriveTiming - - -contains - - - -Semantics.Toolkit - -module -Toolkit - - - -Semantics.Toolkit.for - -theorem -for - - - -Semantics.Toolkit->Semantics.Toolkit.for - - -contains - - - -Semantics.Toolkit.corr1Loop_identity - -theorem -corr1Loop_identity - - - -Semantics.Toolkit->Semantics.Toolkit.corr1Loop_identity - - -contains - - - -Semantics.Toolkit.corr2Loop_identity - -theorem -corr2Loop_identity - - - -Semantics.Toolkit->Semantics.Toolkit.corr2Loop_identity - - -contains - - - -Semantics.Toolkit.alphaT_identity - -theorem -alphaT_identity - - - -Semantics.Toolkit->Semantics.Toolkit.alphaT_identity - - -contains - - - -Semantics.Toolkit.oneOverAlphaT_identity - -theorem -oneOverAlphaT_identity - - - -Semantics.Toolkit->Semantics.Toolkit.oneOverAlphaT_identity - - -contains - - - -Semantics.Toolkit.zMenger_corrected_identity - -theorem -zMenger_corrected_identity - - - -Semantics.Toolkit->Semantics.Toolkit.zMenger_corrected_identity - - -contains - - - -Semantics.Toolkit.grade_speciesArea - -theorem -grade_speciesArea - - - -Semantics.Toolkit->Semantics.Toolkit.grade_speciesArea - - -contains - - - -Semantics.Toolkit.grade_mottCriterion - -theorem -grade_mottCriterion - - - -Semantics.Toolkit->Semantics.Toolkit.grade_mottCriterion - - -contains - - - -Semantics.Toolkit.grade_largeError - -theorem -grade_largeError - - - -Semantics.Toolkit->Semantics.Toolkit.grade_largeError - - -contains - - - -Semantics.Toolkit.zMenger - -def -zMenger - - - -Semantics.Toolkit->Semantics.Toolkit.zMenger - - -contains - - - -Semantics.Toolkit.alphaFS - -def -alphaFS - - - -Semantics.Toolkit->Semantics.Toolkit.alphaFS - - -contains - - - -Semantics.Toolkit.corr1Loop - -def -corr1Loop - - - -Semantics.Toolkit->Semantics.Toolkit.corr1Loop - - -contains - - - -Semantics.Toolkit.corr2Loop - -def -corr2Loop - - - -Semantics.Toolkit->Semantics.Toolkit.corr2Loop - - -contains - - - -Semantics.Toolkit.alphaT - -def -alphaT - - - -Semantics.Toolkit->Semantics.Toolkit.alphaT - - -contains - - - -Semantics.Toolkit.oneOverAlphaT - -def -oneOverAlphaT - - - -Semantics.Toolkit->Semantics.Toolkit.oneOverAlphaT - - -contains - - - -Semantics.Toolkit.zTolerance - -def -zTolerance - - - -Semantics.Toolkit->Semantics.Toolkit.zTolerance - - -contains - - - -Semantics.Toolkit.sweetSpotLower - -def -sweetSpotLower - - - -Semantics.Toolkit->Semantics.Toolkit.sweetSpotLower - - -contains - - - -Semantics.Toolkit.sweetSpotUpper - -def -sweetSpotUpper - - - -Semantics.Toolkit->Semantics.Toolkit.sweetSpotUpper - - -contains - - - -Semantics.Toolkit.gradeThresholds - -def -gradeThresholds - - - -Semantics.Toolkit->Semantics.Toolkit.gradeThresholds - - -contains - - - -Semantics.Toolkit.gradeFromError - -def -gradeFromError - - - -Semantics.Toolkit->Semantics.Toolkit.gradeFromError - - -contains - - - -Semantics.Toolkit.dislocationCorrect - -def -dislocationCorrect - - - -Semantics.Toolkit->Semantics.Toolkit.dislocationCorrect - - -contains - - - -Semantics.Toolkit.dislocationCorrect2Loop - -def -dislocationCorrect2Loop - - - -Semantics.Toolkit->Semantics.Toolkit.dislocationCorrect2Loop - - -contains - - - -Semantics.Toolkit.mengerPeriod - -def -mengerPeriod - - - -Semantics.Toolkit->Semantics.Toolkit.mengerPeriod - - -contains - - - -Semantics.TopologicalAwareness - -module -TopologicalAwareness - - - -Semantics.TopologicalAwareness.geometricPrimitivesDatabase - -def -geometricPrimitivesDatabase - - - -Semantics.TopologicalAwareness->Semantics.TopologicalAwareness.geometricPrimitivesDatabase - - -contains - - - -Semantics.TopologicalAwareness.initializePrimitiveLUT - -def -initializePrimitiveLUT - - - -Semantics.TopologicalAwareness->Semantics.TopologicalAwareness.initializePrimitiveLUT - - -contains - - - -Semantics.TopologicalAwareness.computeEulerCharacteristic - -def -computeEulerCharacteristic - - - -Semantics.TopologicalAwareness->Semantics.TopologicalAwareness.computeEulerCharacteristic - - -contains - - - -Semantics.TopologicalBraidAdapter - -module -TopologicalBraidAdapter - - - -Semantics.TopologicalBraidAdapter->Semantics.HydrogenicPhiTorsionBraid - - -imports - - - -Semantics.TopologicalBraidAdapter.fusionSpaceDim_four - -theorem -fusionSpaceDim_four - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.fusionSpaceDim_four - - -contains - - - -Semantics.TopologicalBraidAdapter.fusionSpaceDim_five - -theorem -fusionSpaceDim_five - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.fusionSpaceDim_five - - -contains - - - -Semantics.TopologicalBraidAdapter.fusionSpaceDim_six - -theorem -fusionSpaceDim_six - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.fusionSpaceDim_six - - -contains - - - -Semantics.TopologicalBraidAdapter.fusionSpaceDim_eight - -theorem -fusionSpaceDim_eight - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.fusionSpaceDim_eight - - -contains - - - -Semantics.TopologicalBraidAdapter.stableSignal_implies_coherent - -theorem -stableSignal_implies_coherent - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.stableSignal_implies_coherent - - -contains - - - -Semantics.TopologicalBraidAdapter.noCfd_avoids_continuum - -theorem -noCfd_avoids_continuum - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.noCfd_avoids_continuum - - -contains - - - -Semantics.TopologicalBraidAdapter.tensegrity_yang_baxter_bound - -theorem -tensegrity_yang_baxter_bound - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.tensegrity_yang_baxter_bound - - -contains - - - -Semantics.TopologicalBraidAdapter.tensegrity_implies_braid_coherence - -theorem -tensegrity_implies_braid_coherence - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.tensegrity_implies_braid_coherence - - -contains - - - -Semantics.TopologicalBraidAdapter.AnyonBraid - -def -AnyonBraid - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.AnyonBraid - - -contains - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.AnyonBraid - - -contains - - - -Semantics.TopologicalBraidAdapter.braidFromSample - -def -braidFromSample - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.braidFromSample - - -contains - - - -Semantics.TopologicalBraidAdapter.fusionTree - -def -fusionTree - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.fusionTree - - -contains - - - -Semantics.TopologicalBraidAdapter.vacuumSector - -def -vacuumSector - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.vacuumSector - - -contains - - - -Semantics.TopologicalBraidAdapter.fusionSpaceDim - -def -fusionSpaceDim - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.fusionSpaceDim - - -contains - - - -Semantics.TopologicalBraidAdapter.crossingToSLUG3 - -def -crossingToSLUG3 - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.crossingToSLUG3 - - -contains - - - -Semantics.TopologicalBraidAdapter.identitySLUG3 - -def -identitySLUG3 - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.identitySLUG3 - - -contains - - - -Semantics.TopologicalBraidAdapter.composeSLUG3 - -def -composeSLUG3 - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.composeSLUG3 - - -contains - - - -Semantics.TopologicalBraidAdapter.braidToSLUG3 - -def -braidToSLUG3 - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.braidToSLUG3 - - -contains - - - -Semantics.TopologicalBraidAdapter.sampleToSLUG3 - -def -sampleToSLUG3 - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.sampleToSLUG3 - - -contains - - - -Semantics.TopologicalBraidAdapter.accumulatedPhase - -def -accumulatedPhase - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.accumulatedPhase - - -contains - - - -Semantics.TopologicalBraidAdapter.q016ToFix16 - -def -q016ToFix16 - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.q016ToFix16 - - -contains - - - -Semantics.TopologicalBraidAdapter.computeW - -def -computeW - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.computeW - - -contains - - - -Semantics.TopologicalBraidAdapter.colorRopeToDualQuat - -def -colorRopeToDualQuat - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.colorRopeToDualQuat - - -contains - - - -Semantics.TopologicalBraidAdapter.stateSampleToDualQuat - -def -stateSampleToDualQuat - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.stateSampleToDualQuat - - -contains - - - -Semantics.TopologicalBraidAdapter.liftDQWithMass - -def -liftDQWithMass - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.liftDQWithMass - - -contains - - - -Semantics.TopologicalBraidAdapter.topologicalCharge - -def -topologicalCharge - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.topologicalCharge - - -contains - - - -Semantics.TopologicalBraidAdapter.sampleTopologicalCharge - -def -sampleTopologicalCharge - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.sampleTopologicalCharge - - -contains - - - -Semantics.TopologicalBraidAdapter.hasQuantumDimension - -def -hasQuantumDimension - - - -Semantics.TopologicalBraidAdapter->Semantics.TopologicalBraidAdapter.hasQuantumDimension - - -contains - - - -Semantics.TopologicalPersistence - -module -TopologicalPersistence - - - -Semantics.TopologicalPersistence->Semantics.Bind - - -imports - - - -Semantics.TopologicalPersistence.topologicalBind_selfLawful - -theorem -topologicalBind_selfLawful - - - -Semantics.TopologicalPersistence->Semantics.TopologicalPersistence.topologicalBind_selfLawful - - -contains - - - -Semantics.TopologicalPersistence.barcodeDistance_selfZero - -theorem -barcodeDistance_selfZero - - - -Semantics.TopologicalPersistence->Semantics.TopologicalPersistence.barcodeDistance_selfZero - - -contains - - - -Semantics.TopologicalPersistence.persistence - -def -persistence - - - -Semantics.TopologicalPersistence->Semantics.TopologicalPersistence.persistence - - -contains - - - -Semantics.TopologicalPersistence.Barcode - -def -Barcode - - - -Semantics.TopologicalPersistence->Semantics.TopologicalPersistence.Barcode - - -contains - - - -Semantics.TopologicalPersistence.totalPersistence - -def -totalPersistence - - - -Semantics.TopologicalPersistence->Semantics.TopologicalPersistence.totalPersistence - - -contains - - - -Semantics.TopologicalPersistence.significantFeatures - -def -significantFeatures - - - -Semantics.TopologicalPersistence->Semantics.TopologicalPersistence.significantFeatures - - -contains - - - -Semantics.TopologicalPersistence.bottleneckDistance - -def -bottleneckDistance - - - -Semantics.TopologicalPersistence->Semantics.TopologicalPersistence.bottleneckDistance - - -contains - - - -Semantics.TopologicalPersistence.barcodeInvariant - -def -barcodeInvariant - - - -Semantics.TopologicalPersistence->Semantics.TopologicalPersistence.barcodeInvariant - - -contains - - - -Semantics.TopologicalPersistence.barcodeCost - -def -barcodeCost - - - -Semantics.TopologicalPersistence->Semantics.TopologicalPersistence.barcodeCost - - -contains - - - -Semantics.TopologicalPersistence.topologicalBind - -def -topologicalBind - - - -Semantics.TopologicalPersistence->Semantics.TopologicalPersistence.topologicalBind - - -contains - - - -Semantics.TopologicalPersistence.sampleBarcode1 - -def -sampleBarcode1 - - - -Semantics.TopologicalPersistence->Semantics.TopologicalPersistence.sampleBarcode1 - - -contains - - - -Semantics.TopologicalPersistence.sampleBarcode2 - -def -sampleBarcode2 - - - -Semantics.TopologicalPersistence->Semantics.TopologicalPersistence.sampleBarcode2 - - -contains - - - -Semantics.TopologicalStateMachine - -module -TopologicalStateMachine - - - -Semantics.TopologicalStateMachine.NibbleSwitch - -theorem -NibbleSwitch - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.NibbleSwitch - - -contains - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.NibbleSwitch - - -contains - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.NibbleSwitch - - -contains - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.NibbleSwitch - - -contains - - - -Semantics.TopologicalStateMachine.transition_register_injective - -theorem -transition_register_injective - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.transition_register_injective - - -contains - - - -Semantics.TopologicalStateMachine.transition_register_bijective - -theorem -transition_register_bijective - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.transition_register_bijective - - -contains - - - -Semantics.TopologicalStateMachine.replay_length - -theorem -replay_length - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.replay_length - - -contains - - - -Semantics.TopologicalStateMachine.replay_deterministic - -theorem -replay_deterministic - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.replay_deterministic - - -contains - - - -Semantics.TopologicalStateMachine.register_update_surjective - -theorem -register_update_surjective - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.register_update_surjective - - -contains - - - -Semantics.TopologicalStateMachine.LocusModulus - -def -LocusModulus - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.LocusModulus - - -contains - - - -Semantics.TopologicalStateMachine.ManifoldPoint - -def -ManifoldPoint - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.ManifoldPoint - - -contains - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.ManifoldPoint - - -contains - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.ManifoldPoint - - -contains - - - -Semantics.TopologicalStateMachine.EnglishForm - -def -EnglishForm - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.EnglishForm - - -contains - - - -Semantics.TopologicalStateMachine.englishFormCounts - -def -englishFormCounts - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.englishFormCounts - - -contains - - - -Semantics.TopologicalStateMachine.eulerCharacteristic - -def -eulerCharacteristic - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.eulerCharacteristic - - -contains - - - -Semantics.TopologicalStateMachine.Trajectory - -def -Trajectory - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.Trajectory - - -contains - - - -Semantics.TopologicalStateMachine.countLoops - -def -countLoops - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.countLoops - - -contains - - - -Semantics.TopologicalStateMachine.productionHardware - -def -productionHardware - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.productionHardware - - -contains - - - -Semantics.TopologicalStateMachine.HardwareSurface - -def -HardwareSurface - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.HardwareSurface - - -contains - - - -Semantics.TopologicalStateMachine.CompressionObjective - -def -CompressionObjective - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.CompressionObjective - - -contains - - - -Semantics.TopologicalStateMachine.selfReferential - -def -selfReferential - - - -Semantics.TopologicalStateMachine->Semantics.TopologicalStateMachine.selfReferential - - -contains - - - -Semantics.TopologyDlessScalar - -module -TopologyDlessScalar - - - -Semantics.TopologyDlessScalar.omega_positive - -theorem -omega_positive - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.omega_positive - - -contains - - - -Semantics.TopologyDlessScalar.warped_distance_monotonic - -theorem -warped_distance_monotonic - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.warped_distance_monotonic - - -contains - - - -Semantics.TopologyDlessScalar.combine_preserves_positivity - -theorem -combine_preserves_positivity - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.combine_preserves_positivity - - -contains - - - -Semantics.TopologyDlessScalar.proven_higher_omega_than_conjecture - -theorem -proven_higher_omega_than_conjecture - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.proven_higher_omega_than_conjecture - - -contains - - - -Semantics.TopologyDlessScalar.q0Sqrt - -def -q0Sqrt - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.q0Sqrt - - -contains - - - -Semantics.TopologyDlessScalar.omegaFromStatus - -def -omegaFromStatus - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.omegaFromStatus - - -contains - - - -Semantics.TopologyDlessScalar.omegaFromCrossRefs - -def -omegaFromCrossRefs - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.omegaFromCrossRefs - - -contains - - - -Semantics.TopologyDlessScalar.omegaFromFamily - -def -omegaFromFamily - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.omegaFromFamily - - -contains - - - -Semantics.TopologyDlessScalar.combineOmega - -def -combineOmega - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.combineOmega - - -contains - - - -Semantics.TopologyDlessScalar.warpedDistance - -def -warpedDistance - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.warpedDistance - - -contains - - - -Semantics.TopologyDlessScalar.warpManifoldPoint - -def -warpManifoldPoint - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.warpManifoldPoint - - -contains - - - -Semantics.TopologyDlessScalar.computeTopologyOmega - -def -computeTopologyOmega - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.computeTopologyOmega - - -contains - - - -Semantics.TopologyDlessScalar.createWarpedTopologyEquation - -def -createWarpedTopologyEquation - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.createWarpedTopologyEquation - - -contains - - - -Semantics.TopologyDlessScalar.omegaSearchResult - -def -omegaSearchResult - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.omegaSearchResult - - -contains - - - -Semantics.TopologyDlessScalar.sortOmegaResults - -def -sortOmegaResults - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.sortOmegaResults - - -contains - - - -Semantics.TopologyDlessScalar.eulerCharacteristicOmega - -def -eulerCharacteristicOmega - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.eulerCharacteristicOmega - - -contains - - - -Semantics.TopologyDlessScalar.symplecticFormOmega - -def -symplecticFormOmega - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.symplecticFormOmega - - -contains - - - -Semantics.TopologyDlessScalar.entropyVectorOmega - -def -entropyVectorOmega - - - -Semantics.TopologyDlessScalar->Semantics.TopologyDlessScalar.entropyVectorOmega - - -contains - - - -Semantics.TopologyDomainAlignment - -module -TopologyDomainAlignment - - - -Semantics.TopologyDomainAlignment.compatibility_reflexive - -theorem -compatibility_reflexive - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.compatibility_reflexive - - -contains - - - -Semantics.TopologyDomainAlignment.compatibility_symmetric - -theorem -compatibility_symmetric - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.compatibility_symmetric - - -contains - - - -Semantics.TopologyDomainAlignment.full_bidirectional_coverage - -theorem -full_bidirectional_coverage - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.full_bidirectional_coverage - - -contains - - - -Semantics.TopologyDomainAlignment.math_has_most_topology_domains - -theorem -math_has_most_topology_domains - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.math_has_most_topology_domains - - -contains - - - -Semantics.TopologyDomainAlignment.alignTopologyDomain - -def -alignTopologyDomain - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.alignTopologyDomain - - -contains - - - -Semantics.TopologyDomainAlignment.reverseAlignTopologyDomain - -def -reverseAlignTopologyDomain - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.reverseAlignTopologyDomain - - -contains - - - -Semantics.TopologyDomainAlignment.domainsCompatible - -def -domainsCompatible - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.domainsCompatible - - -contains - - - -Semantics.TopologyDomainAlignment.alignmentIsBidirectional - -def -alignmentIsBidirectional - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.alignmentIsBidirectional - - -contains - - - -Semantics.TopologyDomainAlignment.countMappingsToMOIM - -def -countMappingsToMOIM - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.countMappingsToMOIM - - -contains - - - -Semantics.TopologyDomainAlignment.bidirectionalCoverage - -def -bidirectionalCoverage - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.bidirectionalCoverage - - -contains - - - -Semantics.TopologyDomainAlignment.tagEulerCharacteristicDomain - -def -tagEulerCharacteristicDomain - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.tagEulerCharacteristicDomain - - -contains - - - -Semantics.TopologyDomainAlignment.tagEntropyVectorDomain - -def -tagEntropyVectorDomain - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.tagEntropyVectorDomain - - -contains - - - -Semantics.TopologyDomainAlignment.tagSymplecticFormDomain - -def -tagSymplecticFormDomain - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.tagSymplecticFormDomain - - -contains - - - -Semantics.TopologyDomainAlignment.createTaggedEquation - -def -createTaggedEquation - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.createTaggedEquation - - -contains - - - -Semantics.TopologyDomainAlignment.crossDomainTopologySearch - -def -crossDomainTopologySearch - - - -Semantics.TopologyDomainAlignment->Semantics.TopologyDomainAlignment.crossDomainTopologySearch - - -contains - - - -Semantics.TopologyFractalEncoding - -module -TopologyFractalEncoding - - - -Semantics.TopologyFractalEncoding.subtree_fold_empty - -theorem -subtree_fold_empty - - - -Semantics.TopologyFractalEncoding->Semantics.TopologyFractalEncoding.subtree_fold_empty - - -contains - - - -Semantics.TopologyFractalEncoding.integrity_reflexive_leaf - -theorem -integrity_reflexive_leaf - - - -Semantics.TopologyFractalEncoding->Semantics.TopologyFractalEncoding.integrity_reflexive_leaf - - -contains - - - -Semantics.TopologyFractalEncoding.manifold_distance_nonnegative - -theorem -manifold_distance_nonnegative - - - -Semantics.TopologyFractalEncoding->Semantics.TopologyFractalEncoding.manifold_distance_nonnegative - - -contains - - - -Semantics.TopologyFractalEncoding.computeSubtreeFold - -def -computeSubtreeFold - - - -Semantics.TopologyFractalEncoding->Semantics.TopologyFractalEncoding.computeSubtreeFold - - -contains - - - -Semantics.TopologyFractalEncoding.verifyIntegrity - -def -verifyIntegrity - - - -Semantics.TopologyFractalEncoding->Semantics.TopologyFractalEncoding.verifyIntegrity - - -contains - - - -Semantics.TopologyFractalEncoding.manifoldDistance - -def -manifoldDistance - - - -Semantics.TopologyFractalEncoding->Semantics.TopologyFractalEncoding.manifoldDistance - - -contains - - - -Semantics.TopologyFractalEncoding.foldTopologyDescription - -def -foldTopologyDescription - - - -Semantics.TopologyFractalEncoding->Semantics.TopologyFractalEncoding.foldTopologyDescription - - -contains - - - -Semantics.TopologyFractalEncoding.foldSubtree - -def -foldSubtree - - - -Semantics.TopologyFractalEncoding->Semantics.TopologyFractalEncoding.foldSubtree - - -contains - - - -Semantics.TopologyFractalEncoding.insert - -def -insert - - - -Semantics.TopologyFractalEncoding->Semantics.TopologyFractalEncoding.insert - - -contains - - - -Semantics.TopologyFractalEncoding.spiralSearch - -def -spiralSearch - - - -Semantics.TopologyFractalEncoding->Semantics.TopologyFractalEncoding.spiralSearch - - -contains - - - -Semantics.TopologyGoldenSpiral - -module -TopologyGoldenSpiral - - - -Semantics.TopologyGoldenSpiral.golden_angle_approx_137_5 - -theorem -golden_angle_approx_137_5 - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.golden_angle_approx_137_5 - - -contains - - - -Semantics.TopologyGoldenSpiral.spiral_radius_nonnegative - -theorem -spiral_radius_nonnegative - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.spiral_radius_nonnegative - - -contains - - - -Semantics.TopologyGoldenSpiral.advance_increments_step_count - -theorem -advance_increments_step_count - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.advance_increments_step_count - - -contains - - - -Semantics.TopologyGoldenSpiral.q0Sqrt - -def -q0Sqrt - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.q0Sqrt - - -contains - - - -Semantics.TopologyGoldenSpiral.q0ToNat - -def -q0ToNat - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.q0ToNat - - -contains - - - -Semantics.TopologyGoldenSpiral.goldenAngleQ0 - -def -goldenAngleQ0 - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.goldenAngleQ0 - - -contains - - - -Semantics.TopologyGoldenSpiral.spiralToCartesian - -def -spiralToCartesian - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.spiralToCartesian - - -contains - - - -Semantics.TopologyGoldenSpiral.cartesianToSpiral - -def -cartesianToSpiral - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.cartesianToSpiral - - -contains - - - -Semantics.TopologyGoldenSpiral.genusToSpiral - -def -genusToSpiral - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.genusToSpiral - - -contains - - - -Semantics.TopologyGoldenSpiral.batchGenusToSpiral - -def -batchGenusToSpiral - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.batchGenusToSpiral - - -contains - - - -Semantics.TopologyGoldenSpiral.initNavigator - -def -initNavigator - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.initNavigator - - -contains - - - -Semantics.TopologyGoldenSpiral.advanceNavigator - -def -advanceNavigator - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.advanceNavigator - - -contains - - - -Semantics.TopologyGoldenSpiral.withinRadius - -def -withinRadius - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.withinRadius - - -contains - - - -Semantics.TopologyGoldenSpiral.spiralSearch - -def -spiralSearch - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.spiralSearch - - -contains - - - -Semantics.TopologyGoldenSpiral.genusToParameterSpace - -def -genusToParameterSpace - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.genusToParameterSpace - - -contains - - - -Semantics.TopologyGoldenSpiral.searchOptimalGenus - -def -searchOptimalGenus - - - -Semantics.TopologyGoldenSpiral->Semantics.TopologyGoldenSpiral.searchOptimalGenus - - -contains - - - -Semantics.TopologyNode - -module -TopologyNode - - - -Semantics.TopologyNode.failedNodeCannotRunService - -theorem -failedNodeCannotRunService - - - -Semantics.TopologyNode->Semantics.TopologyNode.failedNodeCannotRunService - - -contains - - - -Semantics.TopologyNode.failedNodeCannotBind - -theorem -failedNodeCannotBind - - - -Semantics.TopologyNode->Semantics.TopologyNode.failedNodeCannotBind - - -contains - - - -Semantics.TopologyNode.halfQ - -def -halfQ - - - -Semantics.TopologyNode->Semantics.TopologyNode.halfQ - - -contains - - - -Semantics.TopologyNode.quarterQ - -def -quarterQ - - - -Semantics.TopologyNode->Semantics.TopologyNode.quarterQ - - -contains - - - -Semantics.TopologyNode.ofFracQ - -def -ofFracQ - - - -Semantics.TopologyNode->Semantics.TopologyNode.ofFracQ - - -contains - - - -Semantics.TopologyNode.HardwareCapability - -def -HardwareCapability - - - -Semantics.TopologyNode->Semantics.TopologyNode.HardwareCapability - - -contains - - - -Semantics.TopologyNode.serviceRequirements - -def -serviceRequirements - - - -Semantics.TopologyNode->Semantics.TopologyNode.serviceRequirements - - -contains - - - -Semantics.TopologyNode.serviceCost - -def -serviceCost - - - -Semantics.TopologyNode->Semantics.TopologyNode.serviceCost - - -contains - - - -Semantics.TopologyNode.maxEnergyFor - -def -maxEnergyFor - - - -Semantics.TopologyNode->Semantics.TopologyNode.maxEnergyFor - - -contains - - - -Semantics.TopologyNode.energyRecoveryRate - -def -energyRecoveryRate - - - -Semantics.TopologyNode->Semantics.TopologyNode.energyRecoveryRate - - -contains - - - -Semantics.TopologyNode.initNode - -def -initNode - - - -Semantics.TopologyNode->Semantics.TopologyNode.initNode - - -contains - - - -Semantics.TopologyNode.canRunService - -def -canRunService - - - -Semantics.TopologyNode->Semantics.TopologyNode.canRunService - - -contains - - - -Semantics.TopologyNode.deductEnergy - -def -deductEnergy - - - -Semantics.TopologyNode->Semantics.TopologyNode.deductEnergy - - -contains - - - -Semantics.TopologyNode.recoverEnergy - -def -recoverEnergy - - - -Semantics.TopologyNode->Semantics.TopologyNode.recoverEnergy - - -contains - - - -Semantics.TopologyNode.canAcceptBind - -def -canAcceptBind - - - -Semantics.TopologyNode->Semantics.TopologyNode.canAcceptBind - - -contains - - - -Semantics.TopologyNode.exampleCoreNode - -def -exampleCoreNode - - - -Semantics.TopologyNode->Semantics.TopologyNode.exampleCoreNode - - -contains - - - -Semantics.TopologyNode.exampleJudgeHost - -def -exampleJudgeHost - - - -Semantics.TopologyNode->Semantics.TopologyNode.exampleJudgeHost - - -contains - - - -Semantics.TopologyNode.exampleMirrorNode - -def -exampleMirrorNode - - - -Semantics.TopologyNode->Semantics.TopologyNode.exampleMirrorNode - - -contains - - - -Semantics.TopologyNode.exampleEdgeNode - -def -exampleEdgeNode - - - -Semantics.TopologyNode->Semantics.TopologyNode.exampleEdgeNode - - -contains - - - -Semantics.TopologyNode.exampleFoxTopNode - -def -exampleFoxTopNode - - - -Semantics.TopologyNode->Semantics.TopologyNode.exampleFoxTopNode - - -contains - - - -Semantics.TopologyOptimization - -module -TopologyOptimization - - - -Semantics.TopologyOptimization->Semantics.FixedPoint - - -imports - - - -Semantics.TopologyOptimization.runSampleOptimization - -def -runSampleOptimization - - - -Semantics.TopologyOptimization->Semantics.TopologyOptimization.runSampleOptimization - - -contains - - - -Semantics.TopologyPhinary - -module -TopologyPhinary - - - -Semantics.TopologyPhinary.round_trip_conversion - -theorem -round_trip_conversion - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.round_trip_conversion - - -contains - - - -Semantics.TopologyPhinary.valid_phinary_constraint - -theorem -valid_phinary_constraint - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.valid_phinary_constraint - - -contains - - - -Semantics.TopologyPhinary.phinary_add_commutative - -theorem -phinary_add_commutative - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.phinary_add_commutative - - -contains - - - -Semantics.TopologyPhinary.fib - -def -fib - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.fib - - -contains - - - -Semantics.TopologyPhinary.validPhinaryDigits - -def -validPhinaryDigits - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.validPhinaryDigits - - -contains - - - -Semantics.TopologyPhinary.mkTopoPhinVector - -def -mkTopoPhinVector - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.mkTopoPhinVector - - -contains - - - -Semantics.TopologyPhinary.findLargestFib - -def -findLargestFib - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.findLargestFib - - -contains - - - -Semantics.TopologyPhinary.natToZeckendorf - -def -natToZeckendorf - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.natToZeckendorf - - -contains - - - -Semantics.TopologyPhinary.natToTopoPhin - -def -natToTopoPhin - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.natToTopoPhin - - -contains - - - -Semantics.TopologyPhinary.zeckendorfToNat - -def -zeckendorfToNat - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.zeckendorfToNat - - -contains - - - -Semantics.TopologyPhinary.topoPhinToNat - -def -topoPhinToNat - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.topoPhinToNat - - -contains - - - -Semantics.TopologyPhinary.phinaryAdd - -def -phinaryAdd - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.phinaryAdd - - -contains - - - -Semantics.TopologyPhinary.phinaryDiv - -def -phinaryDiv - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.phinaryDiv - - -contains - - - -Semantics.TopologyPhinary.phinaryReciprocal - -def -phinaryReciprocal - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.phinaryReciprocal - - -contains - - - -Semantics.TopologyPhinary.usePhinaryArithmetic - -def -usePhinaryArithmetic - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.usePhinaryArithmetic - - -contains - - - -Semantics.TopologyPhinary.temperatureFromEntropyHybrid - -def -temperatureFromEntropyHybrid - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.temperatureFromEntropyHybrid - - -contains - - - -Semantics.TopologyPhinary.usePhinaryMultiplication - -def -usePhinaryMultiplication - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.usePhinaryMultiplication - - -contains - - - -Semantics.TopologyPhinary.checkReciprocityHybrid - -def -checkReciprocityHybrid - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.checkReciprocityHybrid - - -contains - - - -Semantics.TopologyPhinary.topologyTemperatureFromEntropy - -def -topologyTemperatureFromEntropy - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.topologyTemperatureFromEntropy - - -contains - - - -Semantics.TopologyPhinary.topologyCheckReciprocity - -def -topologyCheckReciprocity - - - -Semantics.TopologyPhinary->Semantics.TopologyPhinary.topologyCheckReciprocity - - -contains - - - -Semantics.TopologyResilience - -module -TopologyResilience - - - -Semantics.TopologyResilience.overloadedImpliesHighUtilization - -theorem -overloadedImpliesHighUtilization - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.overloadedImpliesHighUtilization - - -contains - - - -Semantics.TopologyResilience.kResilientNoSinglePointOfFailure - -theorem -kResilientNoSinglePointOfFailure - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.kResilientNoSinglePointOfFailure - - -contains - - - -Semantics.TopologyResilience.LoadField - -def -LoadField - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.LoadField - - -contains - - - -Semantics.TopologyResilience.uniformLoad - -def -uniformLoad - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.uniformLoad - - -contains - - - -Semantics.TopologyResilience.gaussianLoad - -def -gaussianLoad - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.gaussianLoad - - -contains - - - -Semantics.TopologyResilience.utilization - -def -utilization - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.utilization - - -contains - - - -Semantics.TopologyResilience.overloadedThreshold - -def -overloadedThreshold - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.overloadedThreshold - - -contains - - - -Semantics.TopologyResilience.isOverloaded - -def -isOverloaded - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.isOverloaded - - -contains - - - -Semantics.TopologyResilience.isBottleneck - -def -isBottleneck - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.isBottleneck - - -contains - - - -Semantics.TopologyResilience.traversalCost - -def -traversalCost - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.traversalCost - - -contains - - - -Semantics.TopologyResilience.pickBestSegment - -def -pickBestSegment - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.pickBestSegment - - -contains - - - -Semantics.TopologyResilience.pathCost - -def -pathCost - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.pathCost - - -contains - - - -Semantics.TopologyResilience.placementScore - -def -placementScore - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.placementScore - - -contains - - - -Semantics.TopologyResilience.placeService - -def -placeService - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.placeService - - -contains - - - -Semantics.TopologyResilience.kResilient - -def -kResilient - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.kResilient - - -contains - - - -Semantics.TopologyResilience.reconfigureQuorum - -def -reconfigureQuorum - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.reconfigureQuorum - - -contains - - - -Semantics.TopologyResilience.processPing - -def -processPing - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.processPing - - -contains - - - -Semantics.TopologyResilience.floodPing - -def -floodPing - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.floodPing - - -contains - - - -Semantics.TopologyResilience.earthSeg - -def -earthSeg - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.earthSeg - - -contains - - - -Semantics.TopologyResilience.marsSeg - -def -marsSeg - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.marsSeg - - -contains - - - -Semantics.TopologyResilience.plutoSeg - -def -plutoSeg - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.plutoSeg - - -contains - - - -Semantics.TopologyResilience.solarSystemNetwork - -def -solarSystemNetwork - - - -Semantics.TopologyResilience->Semantics.TopologyResilience.solarSystemNetwork - - -contains - - - -Semantics.TorsionalPIST->Semantics.Quaternion - - -imports - - - -Semantics.TorsionalPIST.Fix16_sub_self - -theorem -Fix16_sub_self - - - -Semantics.TorsionalPIST->Semantics.TorsionalPIST.Fix16_sub_self - - -contains - - - -Semantics.TorsionalPIST.Fix16_mul_zero - -theorem -Fix16_mul_zero - - - -Semantics.TorsionalPIST->Semantics.TorsionalPIST.Fix16_mul_zero - - -contains - - - -Semantics.TorsionalPIST.Fix16_add_zero - -theorem -Fix16_add_zero - - - -Semantics.TorsionalPIST->Semantics.TorsionalPIST.Fix16_add_zero - - -contains - - - -Semantics.TorsionalPIST.TorsionalState_classical_limit_is_monotone - -theorem -TorsionalState_classical_limit_is_monoto - - - -Semantics.TorsionalPIST->Semantics.TorsionalPIST.TorsionalState_classical_limit_is_monotone - - -contains - - - -Semantics.TorsionalPIST.TorsionalState_rgFlow_total - -theorem -TorsionalState_rgFlow_total - - - -Semantics.TorsionalPIST->Semantics.TorsionalPIST.TorsionalState_rgFlow_total - - -contains - - - -Semantics.TorsionalPIST.TorsionalState_initial - -def -TorsionalState_initial - - - -Semantics.TorsionalPIST->Semantics.TorsionalPIST.TorsionalState_initial - - -contains - - - -Semantics.TorsionalPIST.TorsionalState_torsionalBetaStep - -def -TorsionalState_torsionalBetaStep - - - -Semantics.TorsionalPIST->Semantics.TorsionalPIST.TorsionalState_torsionalBetaStep - - -contains - - - -Semantics.TorsionalPIST.TorsionalState_recoveryViaTurbulence - -def -TorsionalState_recoveryViaTurbulence - - - -Semantics.TorsionalPIST->Semantics.TorsionalPIST.TorsionalState_recoveryViaTurbulence - - -contains - - - -Semantics.TorsionalPIST.TorsionalState_rgFlow - -def -TorsionalState_rgFlow - - - -Semantics.TorsionalPIST->Semantics.TorsionalPIST.TorsionalState_rgFlow - - -contains - - - -Semantics.TorsionalPIST.TorsionalState_refreshFromPulse - -def -TorsionalState_refreshFromPulse - - - -Semantics.TorsionalPIST->Semantics.TorsionalPIST.TorsionalState_refreshFromPulse - - -contains - - - -Semantics.TorsionalPIST.TorsionalState_gridRefresh - -def -TorsionalState_gridRefresh - - - -Semantics.TorsionalPIST->Semantics.TorsionalPIST.TorsionalState_gridRefresh - - -contains - - - -Semantics.TorsionalPIST.TorsionalState_isClassicalPure - -def -TorsionalState_isClassicalPure - - - -Semantics.TorsionalPIST->Semantics.TorsionalPIST.TorsionalState_isClassicalPure - - -contains - - - -Semantics.Toybox.HierarchicalBinding - -module -HierarchicalBinding - - - -Semantics.Toybox.HierarchicalBinding.qcdScale - -def -qcdScale - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.qcdScale - - -contains - - - -Semantics.Toybox.HierarchicalBinding.nuclearScale - -def -nuclearScale - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.nuclearScale - - -contains - - - -Semantics.Toybox.HierarchicalBinding.chemicalScale - -def -chemicalScale - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.chemicalScale - - -contains - - - -Semantics.Toybox.HierarchicalBinding.hydrogenBondScale - -def -hydrogenBondScale - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.hydrogenBondScale - - -contains - - - -Semantics.Toybox.HierarchicalBinding.thermalScale - -def -thermalScale - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.thermalScale - - -contains - - - -Semantics.Toybox.HierarchicalBinding.bindingHierarchy - -def -bindingHierarchy - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.bindingHierarchy - - -contains - - - -Semantics.Toybox.HierarchicalBinding.protonBinding - -def -protonBinding - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.protonBinding - - -contains - - - -Semantics.Toybox.HierarchicalBinding.hydrogenMoleculeBinding - -def -hydrogenMoleculeBinding - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.hydrogenMoleculeBinding - - -contains - - - -Semantics.Toybox.HierarchicalBinding.dnaBasePairBinding - -def -dnaBasePairBinding - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.dnaBasePairBinding - - -contains - - - -Semantics.Toybox.HierarchicalBinding.nucleosomeBinding - -def -nucleosomeBinding - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.nucleosomeBinding - - -contains - - - -Semantics.Toybox.HierarchicalBinding.physicalCompressionRatio - -def -physicalCompressionRatio - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.physicalCompressionRatio - - -contains - - - -Semantics.Toybox.HierarchicalBinding.protonCompression - -def -protonCompression - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.protonCompression - - -contains - - - -Semantics.Toybox.HierarchicalBinding.dnaCompression - -def -dnaCompression - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.dnaCompression - - -contains - - - -Semantics.Toybox.HierarchicalBinding.geneExpressionCompression - -def -geneExpressionCompression - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.geneExpressionCompression - - -contains - - - -Semantics.Toybox.HierarchicalBinding.qcdEnergyScale - -def -qcdEnergyScale - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.qcdEnergyScale - - -contains - - - -Semantics.Toybox.HierarchicalBinding.chemicalEnergyScale - -def -chemicalEnergyScale - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.chemicalEnergyScale - - -contains - - - -Semantics.Toybox.HierarchicalBinding.biologicalEnergyScale - -def -biologicalEnergyScale - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.biologicalEnergyScale - - -contains - - - -Semantics.Toybox.HierarchicalBinding.energyScaleHierarchy - -def -energyScaleHierarchy - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.energyScaleHierarchy - - -contains - - - -Semantics.Toybox.HierarchicalBinding.geneBindingHierarchy - -def -geneBindingHierarchy - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.geneBindingHierarchy - - -contains - - - -Semantics.Toybox.HierarchicalBinding.totalGeneCompression - -def -totalGeneCompression - - - -Semantics.Toybox.HierarchicalBinding->Semantics.Toybox.HierarchicalBinding.totalGeneCompression - - -contains - - - -Semantics.Toybox.HydrogenSpectralBasis - -module -HydrogenSpectralBasis - - - -Semantics.Toybox.HydrogenSpectralBasis.rydbergScaled - -def -rydbergScaled - - - -Semantics.Toybox.HydrogenSpectralBasis->Semantics.Toybox.HydrogenSpectralBasis.rydbergScaled - - -contains - - - -Semantics.Toybox.HydrogenSpectralBasis.cScaled - -def -cScaled - - - -Semantics.Toybox.HydrogenSpectralBasis->Semantics.Toybox.HydrogenSpectralBasis.cScaled - - -contains - - - -Semantics.Toybox.HydrogenSpectralBasis.hScaled - -def -hScaled - - - -Semantics.Toybox.HydrogenSpectralBasis->Semantics.Toybox.HydrogenSpectralBasis.hScaled - - -contains - - - -Semantics.Toybox.HydrogenSpectralBasis.PrincipalLevel - -def -PrincipalLevel - - - -Semantics.Toybox.HydrogenSpectralBasis->Semantics.Toybox.HydrogenSpectralBasis.PrincipalLevel - - -contains - - - -Semantics.Toybox.HydrogenSpectralBasis.wavenumber - -def -wavenumber - - - -Semantics.Toybox.HydrogenSpectralBasis->Semantics.Toybox.HydrogenSpectralBasis.wavenumber - - -contains - - - -Semantics.Toybox.HydrogenSpectralBasis.wavenumberToWavelength - -def -wavenumberToWavelength - - - -Semantics.Toybox.HydrogenSpectralBasis->Semantics.Toybox.HydrogenSpectralBasis.wavenumberToWavelength - - -contains - - - -Semantics.Toybox.HydrogenSpectralBasis.lymanWavelengths - -def -lymanWavelengths - - - -Semantics.Toybox.HydrogenSpectralBasis->Semantics.Toybox.HydrogenSpectralBasis.lymanWavelengths - - -contains - - - -Semantics.Toybox.HydrogenSpectralBasis.balmerWavelengths - -def -balmerWavelengths - - - -Semantics.Toybox.HydrogenSpectralBasis->Semantics.Toybox.HydrogenSpectralBasis.balmerWavelengths - - -contains - - - -Semantics.Toybox.HydrogenSpectralBasis.hydrogenSpectralBasis - -def -hydrogenSpectralBasis - - - -Semantics.Toybox.HydrogenSpectralBasis->Semantics.Toybox.HydrogenSpectralBasis.hydrogenSpectralBasis - - -contains - - - -Semantics.Toybox.HydrogenSpectralBasis.resonanceStrength - -def -resonanceStrength - - - -Semantics.Toybox.HydrogenSpectralBasis->Semantics.Toybox.HydrogenSpectralBasis.resonanceStrength - - -contains - - - -Semantics.Toybox.HydrogenSpectralBasis.encode7Bit - -def -encode7Bit - - - -Semantics.Toybox.HydrogenSpectralBasis->Semantics.Toybox.HydrogenSpectralBasis.encode7Bit - - -contains - - - -Semantics.Toybox.ObserverAngle - -module -ObserverAngle - - - -Semantics.Toybox.ObserverAngle.projectData - -def -projectData - - - -Semantics.Toybox.ObserverAngle->Semantics.Toybox.ObserverAngle.projectData - - -contains - - - -Semantics.Toybox.ObserverAngle.rationalAnglePi - -def -rationalAnglePi - - - -Semantics.Toybox.ObserverAngle->Semantics.Toybox.ObserverAngle.rationalAnglePi - - -contains - - - -Semantics.Toybox.ObserverAngle.rationalAngleE - -def -rationalAngleE - - - -Semantics.Toybox.ObserverAngle->Semantics.Toybox.ObserverAngle.rationalAngleE - - -contains - - - -Semantics.Toybox.ObserverAngle.rationalAnglePhi - -def -rationalAnglePhi - - - -Semantics.Toybox.ObserverAngle->Semantics.Toybox.ObserverAngle.rationalAnglePhi - - -contains - - - -Semantics.Toybox.ObserverAngle.informationDensity - -def -informationDensity - - - -Semantics.Toybox.ObserverAngle->Semantics.Toybox.ObserverAngle.informationDensity - - -contains - - - -Semantics.Toybox.ObserverAngle.observerFrameScore - -def -observerFrameScore - - - -Semantics.Toybox.ObserverAngle->Semantics.Toybox.ObserverAngle.observerFrameScore - - -contains - - - -Semantics.Toybox.ObserverAngle.findOptimalAngle - -def -findOptimalAngle - - - -Semantics.Toybox.ObserverAngle->Semantics.Toybox.ObserverAngle.findOptimalAngle - - -contains - - - -Semantics.Toybox.ObserverAngle.testData4D - -def -testData4D - - - -Semantics.Toybox.ObserverAngle->Semantics.Toybox.ObserverAngle.testData4D - - -contains - - - -Semantics.Toybox.ObserverAngle.exampleFrameXY - -def -exampleFrameXY - - - -Semantics.Toybox.ObserverAngle->Semantics.Toybox.ObserverAngle.exampleFrameXY - - -contains - - - -Semantics.Toybox.ObserverAngle.cosApprox - -def -cosApprox - - - -Semantics.Toybox.ObserverAngle->Semantics.Toybox.ObserverAngle.cosApprox - - -contains - - - -Semantics.Toybox.ObserverAngle.markPhaseAngle - -def -markPhaseAngle - - - -Semantics.Toybox.ObserverAngle->Semantics.Toybox.ObserverAngle.markPhaseAngle - - -contains - - - -Semantics.Toybox.ObserverAngle.arrayGetDefault - -def -arrayGetDefault - - - -Semantics.Toybox.ObserverAngle->Semantics.Toybox.ObserverAngle.arrayGetDefault - - -contains - - - -Semantics.Toybox.ObserverAngle.applyEpigeneticMark - -def -applyEpigeneticMark - - - -Semantics.Toybox.ObserverAngle->Semantics.Toybox.ObserverAngle.applyEpigeneticMark - - -contains - - - -Semantics.Toybox.ObserverAngle.expressionLevel - -def -expressionLevel - - - -Semantics.Toybox.ObserverAngle->Semantics.Toybox.ObserverAngle.expressionLevel - - -contains - - - -Semantics.Toybox.SpectralGenome - -module -SpectralGenome - - - -Semantics.Toybox.SpectralGenome.piQ16 - -def -piQ16 - - - -Semantics.Toybox.SpectralGenome->Semantics.Toybox.SpectralGenome.piQ16 - - -contains - - - -Semantics.Toybox.SpectralGenome.cosQ16 - -def -cosQ16 - - - -Semantics.Toybox.SpectralGenome->Semantics.Toybox.SpectralGenome.cosQ16 - - -contains - - - -Semantics.Toybox.SpectralGenome.isqrt - -def -isqrt - - - -Semantics.Toybox.SpectralGenome->Semantics.Toybox.SpectralGenome.isqrt - - -contains - - - -Semantics.Toybox.SpectralGenome.baseToIndex - -def -baseToIndex - - - -Semantics.Toybox.SpectralGenome->Semantics.Toybox.SpectralGenome.baseToIndex - - -contains - - - -Semantics.Toybox.SpectralGenome.kmer3ToIndex - -def -kmer3ToIndex - - - -Semantics.Toybox.SpectralGenome->Semantics.Toybox.SpectralGenome.kmer3ToIndex - - -contains - - - -Semantics.Toybox.SpectralGenome.countKmer3 - -def -countKmer3 - - - -Semantics.Toybox.SpectralGenome->Semantics.Toybox.SpectralGenome.countKmer3 - - -contains - - - -Semantics.Toybox.SpectralGenome.dct2Basis - -def -dct2Basis - - - -Semantics.Toybox.SpectralGenome->Semantics.Toybox.SpectralGenome.dct2Basis - - -contains - - - -Semantics.Toybox.SpectralGenome.dct2Transform - -def -dct2Transform - - - -Semantics.Toybox.SpectralGenome->Semantics.Toybox.SpectralGenome.dct2Transform - - -contains - - - -Semantics.Toybox.SpectralGenome.idct2Transform - -def -idct2Transform - - - -Semantics.Toybox.SpectralGenome->Semantics.Toybox.SpectralGenome.idct2Transform - - -contains - - - -Semantics.Toybox.SpectralGenome.toConvergent - -def -toConvergent - - - -Semantics.Toybox.SpectralGenome->Semantics.Toybox.SpectralGenome.toConvergent - - -contains - - - -Semantics.Toybox.SpectralGenome.encodeSpectralCF - -def -encodeSpectralCF - - - -Semantics.Toybox.SpectralGenome->Semantics.Toybox.SpectralGenome.encodeSpectralCF - - -contains - - - -Semantics.Toybox.SpectralGenome.compressionRatio - -def -compressionRatio - - - -Semantics.Toybox.SpectralGenome->Semantics.Toybox.SpectralGenome.compressionRatio - - -contains - - - -Semantics.Toybox.SpectralGenome.testSeqRepeat - -def -testSeqRepeat - - - -Semantics.Toybox.SpectralGenome->Semantics.Toybox.SpectralGenome.testSeqRepeat - - -contains - - - -Semantics.Toybox.SpectralGenome.reconstructionError - -def -reconstructionError - - - -Semantics.Toybox.SpectralGenome->Semantics.Toybox.SpectralGenome.reconstructionError - - -contains - - - -Semantics.Transition - -module -Transition - - - -Semantics.Transition->Semantics.FixedPoint - - -imports - - - -Semantics.Transition.route - -def -route - - - -Semantics.Transition->Semantics.Transition.route - - -contains - - - -Semantics.Transition.apply - -def -apply - - - -Semantics.Transition->Semantics.Transition.apply - - -contains - - - -Semantics.Transition.step - -def -step - - - -Semantics.Transition->Semantics.Transition.step - - -contains - - - -Semantics.TransportQUBOBridge - -module -TransportQUBOBridge - - - -Semantics.TransportQUBOBridge.randersMetricToQUBO - -def -randersMetricToQUBO - - - -Semantics.TransportQUBOBridge->Semantics.TransportQUBOBridge.randersMetricToQUBO - - -contains - - - -Semantics.TransportQUBOBridge.geodesicAssignment - -def -geodesicAssignment - - - -Semantics.TransportQUBOBridge->Semantics.TransportQUBOBridge.geodesicAssignment - - -contains - - - -Semantics.TransportQUBOBridge.isAnisotropic - -def -isAnisotropic - - - -Semantics.TransportQUBOBridge->Semantics.TransportQUBOBridge.isAnisotropic - - -contains - - - -Semantics.TransportQUBOBridge.trivialAlpha - -def -trivialAlpha - - - -Semantics.TransportQUBOBridge->Semantics.TransportQUBOBridge.trivialAlpha - - -contains - - - -Semantics.TransportQUBOBridge.trivialBeta_with_drift - -def -trivialBeta_with_drift - - - -Semantics.TransportQUBOBridge->Semantics.TransportQUBOBridge.trivialBeta_with_drift - - -contains - - - -Semantics.TransportQUBOBridge.trivialRanders - -def -trivialRanders - - - -Semantics.TransportQUBOBridge->Semantics.TransportQUBOBridge.trivialRanders - - -contains - - - -Semantics.TransportQUBOBridge.twoDirections - -def -twoDirections - - - -Semantics.TransportQUBOBridge->Semantics.TransportQUBOBridge.twoDirections - - -contains - - - -Semantics.TransportQUBOBridge.trivialDims - -def -trivialDims - - - -Semantics.TransportQUBOBridge->Semantics.TransportQUBOBridge.trivialDims - - -contains - - - -Semantics.TransportTheory - -module -TransportTheory - - - -Semantics.TransportTheory.computeAlphaCost_neg - -theorem -computeAlphaCost_neg - - - -Semantics.TransportTheory->Semantics.TransportTheory.computeAlphaCost_neg - - -contains - - - -Semantics.TransportTheory.computeBetaCost_neg - -theorem -computeBetaCost_neg - - - -Semantics.TransportTheory->Semantics.TransportTheory.computeBetaCost_neg - - -contains - - - -Semantics.TransportTheory.flexure_joint_reduces_cost - -theorem -flexure_joint_reduces_cost - - - -Semantics.TransportTheory->Semantics.TransportTheory.flexure_joint_reduces_cost - - -contains - - - -Semantics.TransportTheory.sidon_improves_transport - -theorem -sidon_improves_transport - - - -Semantics.TransportTheory->Semantics.TransportTheory.sidon_improves_transport - - -contains - - - -Semantics.TransportTheory.optimal_projection_minimizes_tau - -theorem -optimal_projection_minimizes_tau - - - -Semantics.TransportTheory->Semantics.TransportTheory.optimal_projection_minimizes_tau - - -contains - - - -Semantics.TransportTheory.toInt_nonneg_of_valid - -theorem -toInt_nonneg_of_valid - - - -Semantics.TransportTheory->Semantics.TransportTheory.toInt_nonneg_of_valid - - -contains - - - -Semantics.TransportTheory.foldl_ge_acc - -theorem -foldl_ge_acc - - - -Semantics.TransportTheory->Semantics.TransportTheory.foldl_ge_acc - - -contains - - - -Semantics.TransportTheory.foldl_nonneg - -theorem -foldl_nonneg - - - -Semantics.TransportTheory->Semantics.TransportTheory.foldl_nonneg - - -contains - - - -Semantics.TransportTheory.foldl_add_pos - -theorem -foldl_add_pos - - - -Semantics.TransportTheory->Semantics.TransportTheory.foldl_add_pos - - -contains - - - -Semantics.TransportTheory.sumTauList_pos_of_nonempty - -theorem -sumTauList_pos_of_nonempty - - - -Semantics.TransportTheory->Semantics.TransportTheory.sumTauList_pos_of_nonempty - - -contains - - - -Semantics.TransportTheory.foldl_filter_le_foldl - -theorem -foldl_filter_le_foldl - - - -Semantics.TransportTheory->Semantics.TransportTheory.foldl_filter_le_foldl - - -contains - - - -Semantics.TransportTheory.add_toInt_le_raw_sum - -theorem -add_toInt_le_raw_sum - - - -Semantics.TransportTheory->Semantics.TransportTheory.add_toInt_le_raw_sum - - -contains - - - -Semantics.TransportTheory.ofNat_toInt_nonneg - -theorem -ofNat_toInt_nonneg - - - -Semantics.TransportTheory->Semantics.TransportTheory.ofNat_toInt_nonneg - - -contains - - - -Semantics.TransportTheory.ofNat_toInt_eq - -theorem -ofNat_toInt_eq - - - -Semantics.TransportTheory->Semantics.TransportTheory.ofNat_toInt_eq - - -contains - - - -Semantics.TransportTheory.foldl_le_mul - -theorem -foldl_le_mul - - - -Semantics.TransportTheory->Semantics.TransportTheory.foldl_le_mul - - -contains - - - -Semantics.TransportTheory.sumTauList_le_threshold - -theorem -sumTauList_le_threshold - - - -Semantics.TransportTheory->Semantics.TransportTheory.sumTauList_le_threshold - - -contains - - - -Semantics.TransportTheory.foldl_exact - -theorem -foldl_exact - - - -Semantics.TransportTheory->Semantics.TransportTheory.foldl_exact - - -contains - - - -Semantics.TransportTheory.sumTauList_exact - -theorem -sumTauList_exact - - - -Semantics.TransportTheory->Semantics.TransportTheory.sumTauList_exact - - -contains - - - -Semantics.TransportTheory.sum_map_filter_add_sum_map_filter_not - -theorem -sum_map_filter_add_sum_map_filter_not - - - -Semantics.TransportTheory->Semantics.TransportTheory.sum_map_filter_add_sum_map_filter_not - - -contains - - - -Semantics.TransportTheory.sumTauList_decompose - -theorem -sumTauList_decompose - - - -Semantics.TransportTheory->Semantics.TransportTheory.sumTauList_decompose - - -contains - - - -Semantics.TransportTheory.mul_ineq - -theorem -mul_ineq - - - -Semantics.TransportTheory->Semantics.TransportTheory.mul_ineq - - -contains - - - -Semantics.TransportTheory.int_div_le_div_of_cross_mul - -theorem -int_div_le_div_of_cross_mul - - - -Semantics.TransportTheory->Semantics.TransportTheory.int_div_le_div_of_cross_mul - - -contains - - - -Semantics.TransportTheory.div_le_div_of_cross_mul - -theorem -div_le_div_of_cross_mul - - - -Semantics.TransportTheory->Semantics.TransportTheory.div_le_div_of_cross_mul - - -contains - - - -Semantics.TransportTheory.pruning_increases_intelligence_density - -theorem -pruning_increases_intelligence_density - - - -Semantics.TransportTheory->Semantics.TransportTheory.pruning_increases_intelligence_density - - -contains - - - -Semantics.TransportTheory.flexure_saturation - -theorem -flexure_saturation - - - -Semantics.TransportTheory->Semantics.TransportTheory.flexure_saturation - - -contains - - - -Semantics.TransportTheory.crystallized_is_wind_critical - -theorem -crystallized_is_wind_critical - - - -Semantics.TransportTheory->Semantics.TransportTheory.crystallized_is_wind_critical - - -contains - - - -Semantics.TransportTheory.computeIntelligenceDensity - -def -computeIntelligenceDensity - - - -Semantics.TransportTheory->Semantics.TransportTheory.computeIntelligenceDensity - - -contains - - - -Semantics.TransportTheory.computeAlphaCost - -def -computeAlphaCost - - - -Semantics.TransportTheory->Semantics.TransportTheory.computeAlphaCost - - -contains - - - -Semantics.TransportTheory.computeBetaCost - -def -computeBetaCost - - - -Semantics.TransportTheory->Semantics.TransportTheory.computeBetaCost - - -contains - - - -Semantics.TransportTheory.computeRandersCost - -def -computeRandersCost - - - -Semantics.TransportTheory->Semantics.TransportTheory.computeRandersCost - - -contains - - - -Semantics.TransportTheory.applyFlexureJoint - -def -applyFlexureJoint - - - -Semantics.TransportTheory->Semantics.TransportTheory.applyFlexureJoint - - -contains - - - -Semantics.TransportTheory.applyFlexureJointToMetric - -def -applyFlexureJointToMetric - - - -Semantics.TransportTheory->Semantics.TransportTheory.applyFlexureJointToMetric - - -contains - - - -Semantics.TransportTheory.cascadeTotalDelay - -def -cascadeTotalDelay - - - -Semantics.TransportTheory->Semantics.TransportTheory.cascadeTotalDelay - - -contains - - - -Semantics.TransportTheory.cascadeTotalLoss - -def -cascadeTotalLoss - - - -Semantics.TransportTheory->Semantics.TransportTheory.cascadeTotalLoss - - -contains - - - -Semantics.TransportTheory.cascadeEfficiency - -def -cascadeEfficiency - - - -Semantics.TransportTheory->Semantics.TransportTheory.cascadeEfficiency - - -contains - - - -Semantics.TransportTheory.pruneHighTauFAMM - -def -pruneHighTauFAMM - - - -Semantics.TransportTheory->Semantics.TransportTheory.pruneHighTauFAMM - - -contains - - - -Semantics.TransportTheory.intelligenceDensityOfFAMM - -def -intelligenceDensityOfFAMM - - - -Semantics.TransportTheory->Semantics.TransportTheory.intelligenceDensityOfFAMM - - -contains - - - -Semantics.TransportTheory.sumTauList - -def -sumTauList - - - -Semantics.TransportTheory->Semantics.TransportTheory.sumTauList - - -contains - - - -Semantics.TransportTheory.randersStrongConvex - -def -randersStrongConvex - - - -Semantics.TransportTheory->Semantics.TransportTheory.randersStrongConvex - - -contains - - - -Semantics.TransportTheory.windCriticalPoint - -def -windCriticalPoint - - - -Semantics.TransportTheory->Semantics.TransportTheory.windCriticalPoint - - -contains - - - -Semantics.TreeDIATKruskal - -module -TreeDIATKruskal - - - -Semantics.TreeDIATKruskal.treeNodeCountExact_pos - -theorem -treeNodeCountExact_pos - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeNodeCountExact_pos - - -contains - - - -Semantics.TreeDIATKruskal.treeLeafCountExact_pos - -theorem -treeLeafCountExact_pos - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeLeafCountExact_pos - - -contains - - - -Semantics.TreeDIATKruskal.treeLeafCountExact_le_nodeCountExact - -theorem -treeLeafCountExact_le_nodeCountExact - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeLeafCountExact_le_nodeCountExact - - -contains - - - -Semantics.TreeDIATKruskal.TreeEmbeds - -theorem -TreeEmbeds - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.TreeEmbeds - - -contains - - - -Semantics.TreeDIATKruskal.treeEmbeds_nodeCount_le - -theorem -treeEmbeds_nodeCount_le - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeEmbeds_nodeCount_le - - -contains - - - -Semantics.TreeDIATKruskal.treeEmbeds_leafCount_le - -theorem -treeEmbeds_leafCount_le - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeEmbeds_leafCount_le - - -contains - - - -Semantics.TreeDIATKruskal.scoreDenNat_pos - -theorem -scoreDenNat_pos - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.scoreDenNat_pos - - -contains - - - -Semantics.TreeDIATKruskal.scoreDenNat_depth_mono - -theorem -scoreDenNat_depth_mono - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.scoreDenNat_depth_mono - - -contains - - - -Semantics.TreeDIATKruskal.scoreDenNat_label_mono - -theorem -scoreDenNat_label_mono - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.scoreDenNat_label_mono - - -contains - - - -Semantics.TreeDIATKruskal.scoreLENat_same_leaf_deeper_lowers - -theorem -scoreLENat_same_leaf_deeper_lowers - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.scoreLENat_same_leaf_deeper_lowers - - -contains - - - -Semantics.TreeDIATKruskal.scoreLENat_same_shape_more_leaves_raises - -theorem -scoreLENat_same_shape_more_leaves_raises - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.scoreLENat_same_shape_more_leaves_raises - - -contains - - - -Semantics.TreeDIATKruskal.treeDIATScoreDen_pos - -theorem -treeDIATScoreDen_pos - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeDIATScoreDen_pos - - -contains - - - -Semantics.TreeDIATKruskal.treeDIAT_same_leaf_deeper_lowers_score - -theorem -treeDIAT_same_leaf_deeper_lowers_score - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeDIAT_same_leaf_deeper_lowers_score - - -contains - - - -Semantics.TreeDIATKruskal.treeDIAT_same_depth_label_more_leaves_raises_score - -theorem -treeDIAT_same_depth_label_more_leaves_ra - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeDIAT_same_depth_label_more_leaves_raises_score - - -contains - - - -Semantics.TreeDIATKruskal.TreeDIATKruskalCertificate - -theorem -TreeDIATKruskalCertificate - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.TreeDIATKruskalCertificate - - -contains - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.TreeDIATKruskalCertificate - - -contains - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.TreeDIATKruskalCertificate - - -contains - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.TreeDIATKruskalCertificate - - -contains - - - -Semantics.TreeDIATKruskal.treeDepthExact - -def -treeDepthExact - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeDepthExact - - -contains - - - -Semantics.TreeDIATKruskal.treeLeafCountExact - -def -treeLeafCountExact - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeLeafCountExact - - -contains - - - -Semantics.TreeDIATKruskal.treeNodeCountExact - -def -treeNodeCountExact - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeNodeCountExact - - -contains - - - -Semantics.TreeDIATKruskal.treeMaxLabelExact - -def -treeMaxLabelExact - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeMaxLabelExact - - -contains - - - -Semantics.TreeDIATKruskal.treeLabelCountExact - -def -treeLabelCountExact - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeLabelCountExact - - -contains - - - -Semantics.TreeDIATKruskal.scoreDenNat - -def -scoreDenNat - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.scoreDenNat - - -contains - - - -Semantics.TreeDIATKruskal.scoreLENat - -def -scoreLENat - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.scoreLENat - - -contains - - - -Semantics.TreeDIATKruskal.treeDIATScoreDen - -def -treeDIATScoreDen - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeDIATScoreDen - - -contains - - - -Semantics.TreeDIATKruskal.treeDIATScoreLE - -def -treeDIATScoreLE - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.treeDIATScoreLE - - -contains - - - -Semantics.TreeDIATKruskal.fixtureBushyKruskalCertificate - -def -fixtureBushyKruskalCertificate - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.fixtureBushyKruskalCertificate - - -contains - - - -Semantics.TreeDIATKruskal.KruskalBadPrefix - -def -KruskalBadPrefix - - - -Semantics.TreeDIATKruskal->Semantics.TreeDIATKruskal.KruskalBadPrefix - - -contains - - - -Semantics.TriangleManifold - -module -TriangleManifold - - - -Semantics.TriangleManifold.a_add_b - -theorem -a_add_b - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.a_add_b - - -contains - - - -Semantics.TriangleManifold.a_add_b_add_c - -theorem -a_add_b_add_c - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.a_add_b_add_c - - -contains - - - -Semantics.TriangleManifold.triangularNumberFormula - -theorem -triangularNumberFormula - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.triangularNumberFormula - - -contains - - - -Semantics.TriangleManifold.triangleMassSymmetric - -theorem -triangleMassSymmetric - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.triangleMassSymmetric - - -contains - - - -Semantics.TriangleManifold.triangularNumber_succ - -theorem -triangularNumber_succ - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.triangularNumber_succ - - -contains - - - -Semantics.TriangleManifold.triangularNumber_strictMono - -theorem -triangularNumber_strictMono - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.triangularNumber_strictMono - - -contains - - - -Semantics.TriangleManifold.concentricNonIntersecting - -theorem -concentricNonIntersecting - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.concentricNonIntersecting - - -contains - - - -Semantics.TriangleManifold.adjacentIsValid - -theorem -adjacentIsValid - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.adjacentIsValid - - -contains - - - -Semantics.TriangleManifold.efficiencyLeBandwidth - -theorem -efficiencyLeBandwidth - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.efficiencyLeBandwidth - - -contains - - - -Semantics.TriangleManifold.transmissionFieldEnhances - -theorem -transmissionFieldEnhances - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.transmissionFieldEnhances - - -contains - - - -Semantics.TriangleManifold.triangularNumber - -def -triangularNumber - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.triangularNumber - - -contains - - - -Semantics.TriangleManifold.n - -def -n - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.n - - -contains - - - -Semantics.TriangleManifold.a - -def -a - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.a - - -contains - - - -Semantics.TriangleManifold.b - -def -b - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.b - - -contains - - - -Semantics.TriangleManifold.c - -def -c - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.c - - -contains - - - -Semantics.TriangleManifold.triangleMass - -def -triangleMass - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.triangleMass - - -contains - - - -Semantics.TriangleManifold.fromTriangleCoord - -def -fromTriangleCoord - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.fromTriangleCoord - - -contains - - - -Semantics.TriangleManifold.isBalanced - -def -isBalanced - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.isBalanced - - -contains - - - -Semantics.TriangleManifold.getTriangle - -def -getTriangle - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.getTriangle - - -contains - - - -Semantics.TriangleManifold.getShellTriangles - -def -getShellTriangles - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.getShellTriangles - - -contains - - - -Semantics.TriangleManifold.manifoldRotationField - -def -manifoldRotationField - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.manifoldRotationField - - -contains - - - -Semantics.TriangleManifold.configMassEqualsCoordMass - -def -configMassEqualsCoordMass - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.configMassEqualsCoordMass - - -contains - - - -Semantics.TriangleManifold.adjacent - -def -adjacent - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.adjacent - - -contains - - - -Semantics.TriangleManifold.isValid - -def -isValid - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.isValid - - -contains - - - -Semantics.TriangleManifold.efficiency - -def -efficiency - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.efficiency - - -contains - - - -Semantics.TriangleManifold.fromManifold - -def -fromManifold - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.fromManifold - - -contains - - - -Semantics.TriangleManifold.transmitData - -def -transmitData - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.transmitData - - -contains - - - -Semantics.TriangleManifold.getPath - -def -getPath - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.getPath - - -contains - - - -Semantics.TriangleManifold.manifoldTransmissionField - -def -manifoldTransmissionField - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.manifoldTransmissionField - - -contains - - - -Semantics.TriangleManifold.transmissionPreservesBounds - -def -transmissionPreservesBounds - - - -Semantics.TriangleManifold->Semantics.TriangleManifold.transmissionPreservesBounds - - -contains - - - -Semantics.TriumvirateEnforcer - -module -TriumvirateEnforcer - - - -Semantics.TriumvirateEnforcer.TriumvirateState - -def -TriumvirateState - - - -Semantics.TriumvirateEnforcer->Semantics.TriumvirateEnforcer.TriumvirateState - - -contains - - - -Semantics.TriumvirateEnforcer.builderProposeImprovement - -def -builderProposeImprovement - - - -Semantics.TriumvirateEnforcer->Semantics.TriumvirateEnforcer.builderProposeImprovement - - -contains - - - -Semantics.TriumvirateEnforcer.wardenValidate - -def -wardenValidate - - - -Semantics.TriumvirateEnforcer->Semantics.TriumvirateEnforcer.wardenValidate - - -contains - - - -Semantics.TriumvirateEnforcer.judgeAdjudicate - -def -judgeAdjudicate - - - -Semantics.TriumvirateEnforcer->Semantics.TriumvirateEnforcer.judgeAdjudicate - - -contains - - - -Semantics.TriumvirateEnforcer.checkGenomicCompressionIntent - -def -checkGenomicCompressionIntent - - - -Semantics.TriumvirateEnforcer->Semantics.TriumvirateEnforcer.checkGenomicCompressionIntent - - -contains - - - -Semantics.TriumvirateEnforcer.EnforcerPipeline - -def -EnforcerPipeline - - - -Semantics.TriumvirateEnforcer->Semantics.TriumvirateEnforcer.EnforcerPipeline - - -contains - - - -Semantics.TriumvirateEnforcer.UniversalFieldVerification - -def -UniversalFieldVerification - - - -Semantics.TriumvirateEnforcer->Semantics.TriumvirateEnforcer.UniversalFieldVerification - - -contains - - - -Semantics.TriumvirateEnforcer.wardenValidateProofs - -def -wardenValidateProofs - - - -Semantics.TriumvirateEnforcer->Semantics.TriumvirateEnforcer.wardenValidateProofs - - -contains - - - -Semantics.TriumvirateEnforcer.judgeAdjudicateUniversalField - -def -judgeAdjudicateUniversalField - - - -Semantics.TriumvirateEnforcer->Semantics.TriumvirateEnforcer.judgeAdjudicateUniversalField - - -contains - - - -Semantics.USBTransportShim - -module -USBTransportShim - - - -Semantics.USBTransportShim.hostIp - -def -hostIp - - - -Semantics.USBTransportShim->Semantics.USBTransportShim.hostIp - - -contains - - - -Semantics.USBTransportShim.deviceIp - -def -deviceIp - - - -Semantics.USBTransportShim->Semantics.USBTransportShim.deviceIp - - -contains - - - -Semantics.USBTransportShim.transportPort - -def -transportPort - - - -Semantics.USBTransportShim->Semantics.USBTransportShim.transportPort - - -contains - - - -Semantics.USBTransportShim.serialRouteTable - -def -serialRouteTable - - - -Semantics.USBTransportShim->Semantics.USBTransportShim.serialRouteTable - - -contains - - - -Semantics.UnifiedConvictionFlow - -module -UnifiedConvictionFlow - - - -Semantics.UnifiedConvictionFlow->Mathlib.Data.Real.Basic - - -imports - - - -Semantics.UnifiedConvictionFlow.multiplicationDistributesNat - -theorem -multiplicationDistributesNat - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.multiplicationDistributesNat - - -contains - - - -Semantics.UnifiedConvictionFlow.degeneracyPenaltyBounded - -theorem -degeneracyPenaltyBounded - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.degeneracyPenaltyBounded - - -contains - - - -Semantics.UnifiedConvictionFlow.productBoundedNat - -theorem -productBoundedNat - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.productBoundedNat - - -contains - - - -Semantics.UnifiedConvictionFlow.weightedCombinationBoundedReal - -theorem -weightedCombinationBoundedReal - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.weightedCombinationBoundedReal - - -contains - - - -Semantics.UnifiedConvictionFlow.informationDensityBoundedReal - -theorem -informationDensityBoundedReal - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.informationDensityBoundedReal - - -contains - - - -Semantics.UnifiedConvictionFlow.informationDensityNonneg - -theorem -informationDensityNonneg - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.informationDensityNonneg - - -contains - - - -Semantics.UnifiedConvictionFlow.fullRegistry_nonempty - -theorem -fullRegistry_nonempty - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.fullRegistry_nonempty - - -contains - - - -Semantics.UnifiedConvictionFlow.numerator_nonneg - -theorem -numerator_nonneg - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.numerator_nonneg - - -contains - - - -Semantics.UnifiedConvictionFlow.geometry_pos - -theorem -geometry_pos - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.geometry_pos - - -contains - - - -Semantics.UnifiedConvictionFlow.energy_pos - -theorem -energy_pos - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.energy_pos - - -contains - - - -Semantics.UnifiedConvictionFlow.phi_nonneg - -theorem -phi_nonneg - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.phi_nonneg - - -contains - - - -Semantics.UnifiedConvictionFlow.lawWeighted_nonneg - -theorem -lawWeighted_nonneg - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.lawWeighted_nonneg - - -contains - - - -Semantics.UnifiedConvictionFlow.lawWeighted_bounded - -theorem -lawWeighted_bounded - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.lawWeighted_bounded - - -contains - - - -Semantics.UnifiedConvictionFlow.phiAugmented_ge_phi - -theorem -phiAugmented_ge_phi - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.phiAugmented_ge_phi - - -contains - - - -Semantics.UnifiedConvictionFlow.phiAugmented_nonneg - -theorem -phiAugmented_nonneg - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.phiAugmented_nonneg - - -contains - - - -Semantics.UnifiedConvictionFlow.flowAugmented_differs_on_rho - -theorem -flowAugmented_differs_on_rho - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.flowAugmented_differs_on_rho - - -contains - - - -Semantics.UnifiedConvictionFlow.unifiedRegistry_size - -theorem -unifiedRegistry_size - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.unifiedRegistry_size - - -contains - - - -Semantics.UnifiedConvictionFlow.registrySize - -def -registrySize - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.registrySize - - -contains - - - -Semantics.UnifiedConvictionFlow.hutterEquationStructure - -def -hutterEquationStructure - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.hutterEquationStructure - - -contains - - - -Semantics.UnifiedConvictionFlow.geneticEquationStructure - -def -geneticEquationStructure - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.geneticEquationStructure - - -contains - - - -Semantics.UnifiedConvictionFlow.multiplicationLaw - -def -multiplicationLaw - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.multiplicationLaw - - -contains - - - -Semantics.UnifiedConvictionFlow.degeneracyLaw - -def -degeneracyLaw - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.degeneracyLaw - - -contains - - - -Semantics.UnifiedConvictionFlow.productBoundLaw - -def -productBoundLaw - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.productBoundLaw - - -contains - - - -Semantics.UnifiedConvictionFlow.registry - -def -registry - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.registry - - -contains - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.registry - - -contains - - - -Semantics.UnifiedConvictionFlow.weightedScore - -def -weightedScore - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.weightedScore - - -contains - - - -Semantics.UnifiedConvictionFlow.infoDensity - -def -infoDensity - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.infoDensity - - -contains - - - -Semantics.UnifiedConvictionFlow.weightedCombinationLaw - -def -weightedCombinationLaw - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.weightedCombinationLaw - - -contains - - - -Semantics.UnifiedConvictionFlow.informationDensityLaw - -def -informationDensityLaw - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.informationDensityLaw - - -contains - - - -Semantics.UnifiedConvictionFlow.fullRegistry - -def -fullRegistry - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.fullRegistry - - -contains - - - -Semantics.UnifiedConvictionFlow.rho - -def -rho - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.rho - - -contains - - - -Semantics.UnifiedConvictionFlow.v - -def -v - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.v - - -contains - - - -Semantics.UnifiedConvictionFlow.tau - -def -tau - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.tau - - -contains - - - -Semantics.UnifiedConvictionFlow.sigma - -def -sigma - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.sigma - - -contains - - - -Semantics.UnifiedConvictionFlow.q - -def -q - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.q - - -contains - - - -Semantics.UnifiedConvictionFlow.kappa - -def -kappa - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.kappa - - -contains - - - -Semantics.UnifiedConvictionFlow.eps - -def -eps - - - -Semantics.UnifiedConvictionFlow->Semantics.UnifiedConvictionFlow.eps - - -contains - - - -Semantics.UnifiedDomainTheory - -module -UnifiedDomainTheory - - - -Semantics.UnifiedDomainTheory.unifiedFieldBounded - -theorem -unifiedFieldBounded - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.unifiedFieldBounded - - -contains - - - -Semantics.UnifiedDomainTheory.manifoldBridgeNonNegative - -theorem -manifoldBridgeNonNegative - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.manifoldBridgeNonNegative - - -contains - - - -Semantics.UnifiedDomainTheory.controlBridgeBounded - -theorem -controlBridgeBounded - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.controlBridgeBounded - - -contains - - - -Semantics.UnifiedDomainTheory.thermodynamicBridgeNonNegative - -theorem -thermodynamicBridgeNonNegative - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.thermodynamicBridgeNonNegative - - -contains - - - -Semantics.UnifiedDomainTheory.domainGraphAcyclic - -theorem -domainGraphAcyclic - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.domainGraphAcyclic - - -contains - - - -Semantics.UnifiedDomainTheory.coreConnectsToAll - -theorem -coreConnectsToAll - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.coreConnectsToAll - - -contains - - - -Semantics.UnifiedDomainTheory.everyDomainConnected - -theorem -everyDomainConnected - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.everyDomainConnected - - -contains - - - -Semantics.UnifiedDomainTheory.totalDomainCount - -theorem -totalDomainCount - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.totalDomainCount - - -contains - - - -Semantics.UnifiedDomainTheory.numDomains - -def -numDomains - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.numDomains - - -contains - - - -Semantics.UnifiedDomainTheory.toFin - -def -toFin - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.toFin - - -contains - - - -Semantics.UnifiedDomainTheory.domainGraph - -def -domainGraph - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.domainGraph - - -contains - - - -Semantics.UnifiedDomainTheory.computeUnifiedField - -def -computeUnifiedField - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.computeUnifiedField - - -contains - - - -Semantics.UnifiedDomainTheory.computeManifoldBridge - -def -computeManifoldBridge - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.computeManifoldBridge - - -contains - - - -Semantics.UnifiedDomainTheory.computeInformationFlow - -def -computeInformationFlow - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.computeInformationFlow - - -contains - - - -Semantics.UnifiedDomainTheory.informationFlowMonotonic - -def -informationFlowMonotonic - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.informationFlowMonotonic - - -contains - - - -Semantics.UnifiedDomainTheory.computeControlBridge - -def -computeControlBridge - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.computeControlBridge - - -contains - - - -Semantics.UnifiedDomainTheory.computeThermodynamicBridge - -def -computeThermodynamicBridge - - - -Semantics.UnifiedDomainTheory->Semantics.UnifiedDomainTheory.computeThermodynamicBridge - - -contains - - - -Semantics.UnifiedFunctionLayer - -module -UnifiedFunctionLayer - - - -Semantics.UnifiedFunctionLayer.Quantity - -def -Quantity - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.Quantity - - -contains - - - -Semantics.UnifiedFunctionLayer.Shell - -def -Shell - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.Shell - - -contains - - - -Semantics.UnifiedFunctionLayer.Contribution - -def -Contribution - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.Contribution - - -contains - - - -Semantics.UnifiedFunctionLayer.RiskVector - -def -RiskVector - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.RiskVector - - -contains - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.RiskVector - - -contains - - - -Semantics.UnifiedFunctionLayer.massNumber - -def -massNumber - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.massNumber - - -contains - - - -Semantics.UnifiedFunctionLayer.massPhi - -def -massPhi - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.massPhi - - -contains - - - -Semantics.UnifiedFunctionLayer.phiDistanceCost - -def -phiDistanceCost - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.phiDistanceCost - - -contains - - - -Semantics.UnifiedFunctionLayer.autodocPressure - -def -autodocPressure - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.autodocPressure - - -contains - - - -Semantics.UnifiedFunctionLayer.geodesicStep - -def -geodesicStep - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.geodesicStep - - -contains - - - -Semantics.UnifiedFunctionLayer.burgersStep - -def -burgersStep - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.burgersStep - - -contains - - - -Semantics.UnifiedFunctionLayer.Coupling - -def -Coupling - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.Coupling - - -contains - - - -Semantics.UnifiedFunctionLayer.couplingWeight - -def -couplingWeight - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.couplingWeight - - -contains - - - -Semantics.UnifiedFunctionLayer.interactionForce - -def -interactionForce - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.interactionForce - - -contains - - - -Semantics.UnifiedFunctionLayer.braidEnergy - -def -braidEnergy - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.braidEnergy - - -contains - - - -Semantics.UnifiedFunctionLayer.ByteDist - -def -ByteDist - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.ByteDist - - -contains - - - -Semantics.UnifiedFunctionLayer.shannonEntropy - -def -shannonEntropy - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.shannonEntropy - - -contains - - - -Semantics.UnifiedFunctionLayer.kolmogorovEstimate - -def -kolmogorovEstimate - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.kolmogorovEstimate - - -contains - - - -Semantics.UnifiedFunctionLayer.mutualInformation - -def -mutualInformation - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.mutualInformation - - -contains - - - -Semantics.UnifiedFunctionLayer.allometricScaling - -def -allometricScaling - - - -Semantics.UnifiedFunctionLayer->Semantics.UnifiedFunctionLayer.allometricScaling - - -contains - - - -Semantics.UnifiedSchema - -module -UnifiedSchema - - - -Semantics.UnifiedSchema->Semantics.FixedPoint - - -imports - - - -Semantics.UnitConversion - -module -UnitConversion - - - -Semantics.UnitConversion->Semantics.FixedPoint - - -imports - - - -Semantics.UnitConversion.standardRatios - -def -standardRatios - - - -Semantics.UnitConversion->Semantics.UnitConversion.standardRatios - - -contains - - - -Semantics.UnitConversion.largeRatios - -def -largeRatios - - - -Semantics.UnitConversion->Semantics.UnitConversion.largeRatios - - -contains - - - -Semantics.UnitConversion.fibonacci - -def -fibonacci - - - -Semantics.UnitConversion->Semantics.UnitConversion.fibonacci - - -contains - - - -Semantics.UnitConversion.goldenRatio - -def -goldenRatio - - - -Semantics.UnitConversion->Semantics.UnitConversion.goldenRatio - - -contains - - - -Semantics.UnitConversion.milesToKilometersFibonacci - -def -milesToKilometersFibonacci - - - -Semantics.UnitConversion->Semantics.UnitConversion.milesToKilometersFibonacci - - -contains - - - -Semantics.UnitConversion.kilometersToMilesFibonacci - -def -kilometersToMilesFibonacci - - - -Semantics.UnitConversion->Semantics.UnitConversion.kilometersToMilesFibonacci - - -contains - - - -Semantics.UnitConversion.temperatureOffsets - -def -temperatureOffsets - - - -Semantics.UnitConversion->Semantics.UnitConversion.temperatureOffsets - - -contains - - - -Semantics.UnitConversion.convertQ0_16 - -def -convertQ0_16 - - - -Semantics.UnitConversion->Semantics.UnitConversion.convertQ0_16 - - -contains - - - -Semantics.UnitConversion.convertQ16_16 - -def -convertQ16_16 - - - -Semantics.UnitConversion->Semantics.UnitConversion.convertQ16_16 - - -contains - - - -Semantics.UnitConversion.conversionCost - -def -conversionCost - - - -Semantics.UnitConversion->Semantics.UnitConversion.conversionCost - - -contains - - - -Semantics.UnitConversion.isLawfulConversion - -def -isLawfulConversion - - - -Semantics.UnitConversion->Semantics.UnitConversion.isLawfulConversion - - -contains - - - -Semantics.UnitConversion.extractConversionInvariant - -def -extractConversionInvariant - - - -Semantics.UnitConversion->Semantics.UnitConversion.extractConversionInvariant - - -contains - - - -Semantics.UnitQuaternion - -module -UnitQuaternion - - - -Semantics.UnitQuaternion->Semantics.FixedPoint - - -imports - - - -Semantics.UnitQuaternion.identityCarriesUnitWitness - -theorem -identityCarriesUnitWitness - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.identityCarriesUnitWitness - - -contains - - - -Semantics.UnitQuaternion.conjugatePreservesWitness - -theorem -conjugatePreservesWitness - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.conjugatePreservesWitness - - -contains - - - -Semantics.UnitQuaternion.mulWitness - -theorem -mulWitness - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.mulWitness - - -contains - - - -Semantics.UnitQuaternion.cos - -def -cos - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.cos - - -contains - - - -Semantics.UnitQuaternion.sin - -def -sin - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.sin - - -contains - - - -Semantics.UnitQuaternion.acos - -def -acos - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.acos - - -contains - - - -Semantics.UnitQuaternion.normSq - -def -normSq - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.normSq - - -contains - - - -Semantics.UnitQuaternion.identity - -def -identity - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.identity - - -contains - - - -Semantics.UnitQuaternion.mul - -def -mul - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.mul - - -contains - - - -Semantics.UnitQuaternion.dot - -def -dot - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.dot - - -contains - - - -Semantics.UnitQuaternion.distance - -def -distance - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.distance - - -contains - - - -Semantics.UnitQuaternion.conjugate - -def -conjugate - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.conjugate - - -contains - - - -Semantics.UnitQuaternion.inv - -def -inv - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.inv - - -contains - - - -Semantics.UnitQuaternion.rotateVector - -def -rotateVector - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.rotateVector - - -contains - - - -Semantics.UnitQuaternion.fromAxisAngle - -def -fromAxisAngle - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.fromAxisAngle - - -contains - - - -Semantics.UnitQuaternion.toAxisAngle - -def -toAxisAngle - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.toAxisAngle - - -contains - - - -Semantics.UnitQuaternion.slerp - -def -slerp - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.slerp - - -contains - - - -Semantics.UnitQuaternion.toRotationMatrix - -def -toRotationMatrix - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.toRotationMatrix - - -contains - - - -Semantics.UnitQuaternion.chiralIncompatible - -def -chiralIncompatible - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.chiralIncompatible - - -contains - - - -Semantics.UnitQuaternion.toTernary - -def -toTernary - - - -Semantics.UnitQuaternion->Semantics.UnitQuaternion.toTernary - - -contains - - - -Semantics.UniversalCoupling.selfTypingPreservesCoupling - -theorem -selfTypingPreservesCoupling - - - -Semantics.UniversalCoupling->Semantics.UniversalCoupling.selfTypingPreservesCoupling - - -contains - - - -Semantics.UniversalCoupling.domainDim - -def -domainDim - - - -Semantics.UniversalCoupling->Semantics.UniversalCoupling.domainDim - - -contains - - - -Semantics.UniversalCoupling.nDot - -def -nDot - - - -Semantics.UniversalCoupling->Semantics.UniversalCoupling.nDot - - -contains - - - -Semantics.UniversalCoupling.Jn - -def -Jn - - - -Semantics.UniversalCoupling->Semantics.UniversalCoupling.Jn - - -contains - - - -Semantics.UniversalCoupling.jAstrophysical - -def -jAstrophysical - - - -Semantics.UniversalCoupling->Semantics.UniversalCoupling.jAstrophysical - - -contains - - - -Semantics.UniversalCoupling.jNeural - -def -jNeural - - - -Semantics.UniversalCoupling->Semantics.UniversalCoupling.jNeural - - -contains - - - -Semantics.UniversalCoupling.jMaritime - -def -jMaritime - - - -Semantics.UniversalCoupling->Semantics.UniversalCoupling.jMaritime - - -contains - - - -Semantics.UniversalCoupling.routeTrajectory - -def -routeTrajectory - - - -Semantics.UniversalCoupling->Semantics.UniversalCoupling.routeTrajectory - - -contains - - - -Semantics.UniversalCoupling.trajectoryEquivalent - -def -trajectoryEquivalent - - - -Semantics.UniversalCoupling->Semantics.UniversalCoupling.trajectoryEquivalent - - -contains - - - -Semantics.UniversalCoupling.selfTyped - -def -selfTyped - - - -Semantics.UniversalCoupling->Semantics.UniversalCoupling.selfTyped - - -contains - - - -Semantics.UniversalCoupling.verilogParams - -def -verilogParams - - - -Semantics.UniversalCoupling->Semantics.UniversalCoupling.verilogParams - - -contains - - - -Semantics.UniversalCoupling.axis11Decision - -def -axis11Decision - - - -Semantics.UniversalCoupling->Semantics.UniversalCoupling.axis11Decision - - -contains - - - -Semantics.UniversalCoupling.testAstroParams - -def -testAstroParams - - - -Semantics.UniversalCoupling->Semantics.UniversalCoupling.testAstroParams - - -contains - - - -Semantics.UniversalCoupling.testMass - -def -testMass - - - -Semantics.UniversalCoupling->Semantics.UniversalCoupling.testMass - - -contains - - - -Semantics.UniversalField - -module -UniversalField - - - -Semantics.UniversalField.phiUniversalEquivalence - -theorem -phiUniversalEquivalence - - - -Semantics.UniversalField->Semantics.UniversalField.phiUniversalEquivalence - - -contains - - - -Semantics.UniversalField.phiUniversalNonNeg - -theorem -phiUniversalNonNeg - - - -Semantics.UniversalField->Semantics.UniversalField.phiUniversalNonNeg - - -contains - - - -Semantics.UniversalField.phiUniversalBounded - -theorem -phiUniversalBounded - - - -Semantics.UniversalField->Semantics.UniversalField.phiUniversalBounded - - -contains - - - -Semantics.UniversalField.lnQ16 - -def -lnQ16 - - - -Semantics.UniversalField->Semantics.UniversalField.lnQ16 - - -contains - - - -Semantics.UniversalField.phiUniversalReciprocal - -def -phiUniversalReciprocal - - - -Semantics.UniversalField->Semantics.UniversalField.phiUniversalReciprocal - - -contains - - - -Semantics.UniversalField.phiUniversalWeighted - -def -phiUniversalWeighted - - - -Semantics.UniversalField->Semantics.UniversalField.phiUniversalWeighted - - -contains - - - -Semantics.UniversalField.phiClassical - -def -phiClassical - - - -Semantics.UniversalField->Semantics.UniversalField.phiClassical - - -contains - - - -Semantics.UniversalField.phiElectromagnetism - -def -phiElectromagnetism - - - -Semantics.UniversalField->Semantics.UniversalField.phiElectromagnetism - - -contains - - - -Semantics.UniversalField.phiQuantum - -def -phiQuantum - - - -Semantics.UniversalField->Semantics.UniversalField.phiQuantum - - -contains - - - -Semantics.UniversalField.phiRelativity - -def -phiRelativity - - - -Semantics.UniversalField->Semantics.UniversalField.phiRelativity - - -contains - - - -Semantics.UniversalField.phiThermodynamics - -def -phiThermodynamics - - - -Semantics.UniversalField->Semantics.UniversalField.phiThermodynamics - - -contains - - - -Semantics.UniversalField.exampleParamsBinary - -def -exampleParamsBinary - - - -Semantics.UniversalField->Semantics.UniversalField.exampleParamsBinary - - -contains - - - -Semantics.Universality.no_universality_loss - -theorem -no_universality_loss - - - -Semantics.Universality->Semantics.Universality.no_universality_loss - - -contains - - - -Semantics.Universality.projectionPreservesUniversality - -def -projectionPreservesUniversality - - - -Semantics.Universality->Semantics.Universality.projectionPreservesUniversality - - -contains - - - -Semantics.Universality.collapsePreservesUniversality - -def -collapsePreservesUniversality - - - -Semantics.Universality->Semantics.Universality.collapsePreservesUniversality - - -contains - - - -Semantics.Universality.evolutionPreservesUniversality - -def -evolutionPreservesUniversality - - - -Semantics.Universality->Semantics.Universality.evolutionPreservesUniversality - - -contains - - - -Semantics.V4.CayleyFibergraph - -module -CayleyFibergraph - - - -Semantics.V4.CayleyFibergraph.self_inverse - -theorem -self_inverse - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.self_inverse - - -contains - - - -Semantics.V4.CayleyFibergraph.commutative - -theorem -commutative - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.commutative - - -contains - - - -Semantics.V4.CayleyFibergraph.triangle - -theorem -triangle - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.triangle - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_0_0 - -theorem -mass_preserved_0_0 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_0_0 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_0_1 - -theorem -mass_preserved_0_1 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_0_1 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_1_0 - -theorem -mass_preserved_1_0 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_1_0 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_1_1 - -theorem -mass_preserved_1_1 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_1_1 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_1_2 - -theorem -mass_preserved_1_2 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_1_2 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_1_3 - -theorem -mass_preserved_1_3 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_1_3 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_2_0 - -theorem -mass_preserved_2_0 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_2_0 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_2_2 - -theorem -mass_preserved_2_2 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_2_2 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_2_4 - -theorem -mass_preserved_2_4 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_2_4 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_2_5 - -theorem -mass_preserved_2_5 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_2_5 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_3_0 - -theorem -mass_preserved_3_0 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_3_0 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_3_3 - -theorem -mass_preserved_3_3 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_3_3 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_3_6 - -theorem -mass_preserved_3_6 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_3_6 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_3_7 - -theorem -mass_preserved_3_7 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_3_7 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_4_0 - -theorem -mass_preserved_4_0 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_4_0 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_4_4 - -theorem -mass_preserved_4_4 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_4_4 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_4_8 - -theorem -mass_preserved_4_8 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_4_8 - - -contains - - - -Semantics.V4.CayleyFibergraph.mass_preserved_4_9 - -theorem -mass_preserved_4_9 - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mass_preserved_4_9 - - -contains - - - -Semantics.V4.CayleyFibergraph.nuvmap_symmetric - -theorem -nuvmap_symmetric - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.nuvmap_symmetric - - -contains - - - -Semantics.V4.CayleyFibergraph.complement_as_v4_action - -theorem -complement_as_v4_action - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.complement_as_v4_action - - -contains - - - -Semantics.V4.CayleyFibergraph.complement_involution - -theorem -complement_involution - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.complement_involution - - -contains - - - -Semantics.V4.CayleyFibergraph.mul - -def -mul - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.mul - - -contains - - - -Semantics.V4.CayleyFibergraph.one - -def -one - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.one - - -contains - - - -Semantics.V4.CayleyFibergraph.cayley_dist - -def -cayley_dist - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.cayley_dist - - -contains - - - -Semantics.V4.CayleyFibergraph.pist_mass - -def -pist_mass - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.pist_mass - - -contains - - - -Semantics.V4.CayleyFibergraph.nuvmap_addr - -def -nuvmap_addr - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.nuvmap_addr - - -contains - - - -Semantics.V4.CayleyFibergraph.inv - -def -inv - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.inv - - -contains - - - -Semantics.V4.CayleyFibergraph.DNABase - -def -DNABase - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.DNABase - - -contains - - - -Semantics.V4.CayleyFibergraph->Semantics.V4.CayleyFibergraph.DNABase - - -contains - - - -Semantics.VLsIPartition - -module -VLsIPartition - - - -Semantics.VLsIPartition.balanceImpliesBounds - -theorem -balanceImpliesBounds - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.balanceImpliesBounds - - -contains - - - -Semantics.VLsIPartition.zero - -def -zero - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.zero - - -contains - - - -Semantics.VLsIPartition.one - -def -one - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.one - - -contains - - - -Semantics.VLsIPartition.ofNat - -def -ofNat - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.ofNat - - -contains - - - -Semantics.VLsIPartition.add - -def -add - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.add - - -contains - - - -Semantics.VLsIPartition.sub - -def -sub - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.sub - - -contains - - - -Semantics.VLsIPartition.mul - -def -mul - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.mul - - -contains - - - -Semantics.VLsIPartition.div - -def -div - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.div - - -contains - - - -Semantics.VLsIPartition.neg - -def -neg - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.neg - - -contains - - - -Semantics.VLsIPartition.le - -def -le - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.le - - -contains - - - -Semantics.VLsIPartition.lt - -def -lt - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.lt - - -contains - - - -Semantics.VLsIPartition.pointInBox - -def -pointInBox - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.pointInBox - - -contains - - - -Semantics.VLsIPartition.validatePartition - -def -validatePartition - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.validatePartition - - -contains - - - -Semantics.VLsIPartition.boxArea - -def -boxArea - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.boxArea - - -contains - - - -Semantics.VLsIPartition.boxesOverlap - -def -boxesOverlap - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.boxesOverlap - - -contains - - - -Semantics.VLsIPartition.totalNodeWeight - -def -totalNodeWeight - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.totalNodeWeight - - -contains - - - -Semantics.VLsIPartition.getPartition - -def -getPartition - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.getPartition - - -contains - - - -Semantics.VLsIPartition.checkBalanceConstraint - -def -checkBalanceConstraint - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.checkBalanceConstraint - - -contains - - - -Semantics.VLsIPartition.boundingPolygon - -def -boundingPolygon - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.boundingPolygon - - -contains - - - -Semantics.VLsIPartition.checkSpatialContinuity - -def -checkSpatialContinuity - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.checkSpatialContinuity - - -contains - - - -Semantics.VLsIPartition.checkSpatialConstraint - -def -checkSpatialConstraint - - - -Semantics.VLsIPartition->Semantics.VLsIPartition.checkSpatialConstraint - - -contains - - - -Semantics.VecState - -module -VecState - - - -Semantics.VecState.eventBits - -def -eventBits - - - -Semantics.VecState->Semantics.VecState.eventBits - - -contains - - - -Semantics.VecState.leafHash - -def -leafHash - - - -Semantics.VecState->Semantics.VecState.leafHash - - -contains - - - -Semantics.VecState.mixHash - -def -mixHash - - - -Semantics.VecState->Semantics.VecState.mixHash - - -contains - - - -Semantics.VecState.siblingResonance - -def -siblingResonance - - - -Semantics.VecState->Semantics.VecState.siblingResonance - - -contains - - - -Semantics.VecState.mergeVec - -def -mergeVec - - - -Semantics.VecState->Semantics.VecState.mergeVec - - -contains - - - -Semantics.VecState.mergeNode - -def -mergeNode - - - -Semantics.VecState->Semantics.VecState.mergeNode - - -contains - - - -Semantics.VecState.leafVecState - -def -leafVecState - - - -Semantics.VecState->Semantics.VecState.leafVecState - - -contains - - - -Semantics.VecState.zeroVecState - -def -zeroVecState - - - -Semantics.VecState->Semantics.VecState.zeroVecState - - -contains - - - -Semantics.VideoPhysics->Semantics.FixedPoint - - -imports - - - -Semantics.VideoPhysics.masterEquation - -def -masterEquation - - - -Semantics.VideoPhysics->Semantics.VideoPhysics.masterEquation - - -contains - - - -Semantics.VideoPhysics.step - -def -step - - - -Semantics.VideoPhysics->Semantics.VideoPhysics.step - - -contains - - - -Semantics.VirtualGPUTopology - -module -VirtualGPUTopology - - - -Semantics.VirtualGPUTopology.zero - -def -zero - - - -Semantics.VirtualGPUTopology->Semantics.VirtualGPUTopology.zero - - -contains - - - -Semantics.VirtualGPUTopology.one - -def -one - - - -Semantics.VirtualGPUTopology->Semantics.VirtualGPUTopology.one - - -contains - - - -Semantics.VirtualGPUTopology.ofNat - -def -ofNat - - - -Semantics.VirtualGPUTopology->Semantics.VirtualGPUTopology.ofNat - - -contains - - - -Semantics.VirtualGPUTopology.toNat - -def -toNat - - - -Semantics.VirtualGPUTopology->Semantics.VirtualGPUTopology.toNat - - -contains - - - -Semantics.VirtualGPUTopology.ofFrac - -def -ofFrac - - - -Semantics.VirtualGPUTopology->Semantics.VirtualGPUTopology.ofFrac - - -contains - - - -Semantics.VirtualGPUTopology.initializeVirtualGPU - -def -initializeVirtualGPU - - - -Semantics.VirtualGPUTopology->Semantics.VirtualGPUTopology.initializeVirtualGPU - - -contains - - - -Semantics.VirtualGPUTopology.calculateManifoldCoordinates - -def -calculateManifoldCoordinates - - - -Semantics.VirtualGPUTopology->Semantics.VirtualGPUTopology.calculateManifoldCoordinates - - -contains - - - -Semantics.VirtualGPUTopology.calculateCurvatureMatch - -def -calculateCurvatureMatch - - - -Semantics.VirtualGPUTopology->Semantics.VirtualGPUTopology.calculateCurvatureMatch - - -contains - - - -Semantics.VirtualGPUTopology.calculateModelPlacement - -def -calculateModelPlacement - - - -Semantics.VirtualGPUTopology->Semantics.VirtualGPUTopology.calculateModelPlacement - - -contains - - - -Semantics.VirtualGPUTopology.getModelSpec - -def -getModelSpec - - - -Semantics.VirtualGPUTopology->Semantics.VirtualGPUTopology.getModelSpec - - -contains - - - -Semantics.VirtualGPUTopology.loadKimiModel - -def -loadKimiModel - - - -Semantics.VirtualGPUTopology->Semantics.VirtualGPUTopology.loadKimiModel - - -contains - - - -Semantics.VirtualWarpMetric - -module -VirtualWarpMetric - - - -Semantics.VirtualWarpMetric->Semantics.FixedPoint - - -imports - - - -Semantics.VirtualWarpMetric.effectiveVelocity - -def -effectiveVelocity - - - -Semantics.VirtualWarpMetric->Semantics.VirtualWarpMetric.effectiveVelocity - - -contains - - - -Semantics.VirtualWarpMetric.warpCoupling - -def -warpCoupling - - - -Semantics.VirtualWarpMetric->Semantics.VirtualWarpMetric.warpCoupling - - -contains - - - -Semantics.VirtualWarpMetric.calculateVirtualWarpMetric - -def -calculateVirtualWarpMetric - - - -Semantics.VirtualWarpMetric->Semantics.VirtualWarpMetric.calculateVirtualWarpMetric - - -contains - - - -Semantics.VirtualWarpMetric.isVirtualWarpStable - -def -isVirtualWarpStable - - - -Semantics.VirtualWarpMetric->Semantics.VirtualWarpMetric.isVirtualWarpStable - - -contains - - - -Semantics.VorticityDecomposition - -module -VorticityDecomposition - - - -Semantics.VorticityDecomposition.Q1_is_dilatational - -theorem -Q1_is_dilatational - - - -Semantics.VorticityDecomposition->Semantics.VorticityDecomposition.Q1_is_dilatational - - -contains - - - -Semantics.VorticityDecomposition.Q2_is_solenoidal - -theorem -Q2_is_solenoidal - - - -Semantics.VorticityDecomposition->Semantics.VorticityDecomposition.Q2_is_solenoidal - - -contains - - - -Semantics.VorticityDecomposition.enstrophy_proportional_to_Q2 - -theorem -enstrophy_proportional_to_Q2 - - - -Semantics.VorticityDecomposition->Semantics.VorticityDecomposition.enstrophy_proportional_to_Q2 - - -contains - - - -Semantics.VorticityDecomposition.velocity_hodge_decomposition - -theorem -velocity_hodge_decomposition - - - -Semantics.VorticityDecomposition->Semantics.VorticityDecomposition.velocity_hodge_decomposition - - -contains - - - -Semantics.VorticityDecomposition.testDQ_hodge_decomposition - -theorem -testDQ_hodge_decomposition - - - -Semantics.VorticityDecomposition->Semantics.VorticityDecomposition.testDQ_hodge_decomposition - - -contains - - - -Semantics.VorticityDecomposition.testDQ_enstrophy_proportional - -theorem -testDQ_enstrophy_proportional - - - -Semantics.VorticityDecomposition->Semantics.VorticityDecomposition.testDQ_enstrophy_proportional - - -contains - - - -Semantics.VorticityDecomposition.testDQ2_hodge_decomposition - -theorem -testDQ2_hodge_decomposition - - - -Semantics.VorticityDecomposition->Semantics.VorticityDecomposition.testDQ2_hodge_decomposition - - -contains - - - -Semantics.VorticityDecomposition.testDQ2_enstrophy_proportional - -theorem -testDQ2_enstrophy_proportional - - - -Semantics.VorticityDecomposition->Semantics.VorticityDecomposition.testDQ2_enstrophy_proportional - - -contains - - - -Semantics.VorticityDecomposition.dualQuatEnstrophy - -def -dualQuatEnstrophy - - - -Semantics.VorticityDecomposition->Semantics.VorticityDecomposition.dualQuatEnstrophy - - -contains - - - -Semantics.VorticityDecomposition.testDQ - -def -testDQ - - - -Semantics.VorticityDecomposition->Semantics.VorticityDecomposition.testDQ - - -contains - - - -Semantics.VorticityDecomposition.testDQ2 - -def -testDQ2 - - - -Semantics.VorticityDecomposition->Semantics.VorticityDecomposition.testDQ2 - - -contains - - - -Semantics.VorticityDecomposition.testEps - -def -testEps - - - -Semantics.VorticityDecomposition->Semantics.VorticityDecomposition.testEps - - -contains - - - -Semantics.VoxelEncoding - -module -VoxelEncoding - - - -Semantics.VoxelEncoding.encodeVoxel - -def -encodeVoxel - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.encodeVoxel - - -contains - - - -Semantics.VoxelEncoding.decodeVoxel - -def -decodeVoxel - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.decodeVoxel - - -contains - - - -Semantics.VoxelEncoding.encodeSeed - -def -encodeSeed - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.encodeSeed - - -contains - - - -Semantics.VoxelEncoding.classifySeedByEfficiency - -def -classifySeedByEfficiency - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.classifySeedByEfficiency - - -contains - - - -Semantics.VoxelEncoding.dcvnThreshold - -def -dcvnThreshold - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.dcvnThreshold - - -contains - - - -Semantics.VoxelEncoding.dcvnSurvivalMask - -def -dcvnSurvivalMask - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.dcvnSurvivalMask - - -contains - - - -Semantics.VoxelEncoding.dcvnParticipation - -def -dcvnParticipation - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.dcvnParticipation - - -contains - - - -Semantics.VoxelEncoding.totalCorrelationEstimate - -def -totalCorrelationEstimate - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.totalCorrelationEstimate - - -contains - - - -Semantics.VoxelEncoding.packSieveSymbols - -def -packSieveSymbols - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.packSieveSymbols - - -contains - - - -Semantics.VoxelEncoding.classifySieve - -def -classifySieve - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.classifySieve - - -contains - - - -Semantics.VoxelEncoding.proxyExtractTorsion - -def -proxyExtractTorsion - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.proxyExtractTorsion - - -contains - - - -Semantics.VoxelEncoding.proxyExtractCoherence - -def -proxyExtractCoherence - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.proxyExtractCoherence - - -contains - - - -Semantics.VoxelEncoding.seismicLow - -def -seismicLow - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.seismicLow - - -contains - - - -Semantics.VoxelEncoding.seismicHigh - -def -seismicHigh - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.seismicHigh - - -contains - - - -Semantics.VoxelEncoding.isSeismicShell - -def -isSeismicShell - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.isSeismicShell - - -contains - - - -Semantics.VoxelEncoding.piQ - -def -piQ - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.piQ - - -contains - - - -Semantics.VoxelEncoding.halfMobiusClosure - -def -halfMobiusClosure - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.halfMobiusClosure - - -contains - - - -Semantics.VoxelEncoding.baselineMs - -def -baselineMs - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.baselineMs - - -contains - - - -Semantics.VoxelEncoding.regretMs - -def -regretMs - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.regretMs - - -contains - - - -Semantics.VoxelEncoding.decayLambda - -def -decayLambda - - - -Semantics.VoxelEncoding->Semantics.VoxelEncoding.decayLambda - - -contains - - - -Semantics.WSMConcrete - -module -WSMConcrete - - - -Semantics.WSMConcrete.shapeWaveform_def - -theorem -shapeWaveform_def - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.shapeWaveform_def - - -contains - - - -Semantics.WSMConcrete.energySignal_def - -theorem -energySignal_def - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.energySignal_def - - -contains - - - -Semantics.WSMConcrete.totalSignal_pointwise - -theorem -totalSignal_pointwise - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.totalSignal_pointwise - - -contains - - - -Semantics.WSMConcrete.probeState_def - -theorem -probeState_def - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.probeState_def - - -contains - - - -Semantics.WSMConcrete.coarseState_def - -theorem -coarseState_def - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.coarseState_def - - -contains - - - -Semantics.WSMConcrete.full_pipeline_is_composition - -theorem -full_pipeline_is_composition - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.full_pipeline_is_composition - - -contains - - - -Semantics.WSMConcrete.sigAdd - -def -sigAdd - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.sigAdd - - -contains - - - -Semantics.WSMConcrete.sigScale - -def -sigScale - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.sigScale - - -contains - - - -Semantics.WSMConcrete.applyOp - -def -applyOp - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.applyOp - - -contains - - - -Semantics.WSMConcrete.cInner - -def -cInner - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.cInner - - -contains - - - -Semantics.WSMConcrete.expect - -def -expect - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.expect - - -contains - - - -Semantics.WSMConcrete.finiteDiff - -def -finiteDiff - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.finiteDiff - - -contains - - - -Semantics.WSMConcrete.ψ - -def -ψ - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.ψ - - -contains - - - -Semantics.WSMConcrete.H - -def -H - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.H - - -contains - - - -Semantics.WSMConcrete.O0 - -def -O0 - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.O0 - - -contains - - - -Semantics.WSMConcrete.O1 - -def -O1 - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.O1 - - -contains - - - -Semantics.WSMConcrete.Obs - -def -Obs - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.Obs - - -contains - - - -Semantics.WSMConcrete.w - -def -w - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.w - - -contains - - - -Semantics.WSMConcrete.recordingChannel - -def -recordingChannel - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.recordingChannel - - -contains - - - -Semantics.WSMConcrete.shapeWaveform - -def -shapeWaveform - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.shapeWaveform - - -contains - - - -Semantics.WSMConcrete.energySignal - -def -energySignal - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.energySignal - - -contains - - - -Semantics.WSMConcrete.temporalEnergyGradient - -def -temporalEnergyGradient - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.temporalEnergyGradient - - -contains - - - -Semantics.WSMConcrete.gSpatial - -def -gSpatial - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.gSpatial - - -contains - - - -Semantics.WSMConcrete.energyGradientMagnitude - -def -energyGradientMagnitude - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.energyGradientMagnitude - - -contains - - - -Semantics.WSMConcrete.energyIncrease - -def -energyIncrease - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.energyIncrease - - -contains - - - -Semantics.WSMConcrete.energyDecrease - -def -energyDecrease - - - -Semantics.WSMConcrete->Semantics.WSMConcrete.energyDecrease - - -contains - - - -Mathlib.Data.Complex.Basic - -mathlib -Mathlib.Data.Complex.Basic - - - -Semantics.WSMConcrete->Mathlib.Data.Complex.Basic - - -imports - - - -Semantics.WSM_WR_EGS_WC - -module -WSM_WR_EGS_WC - - - -Semantics.WSM_WR_EGS_WC->Mathlib.Data.Real.Basic - - -imports - - - -Semantics.WSM_WR_EGS_WC.norm_preservation - -theorem -norm_preservation - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.norm_preservation - - -contains - - - -Semantics.WSM_WR_EGS_WC.recorded_channels_are_real - -theorem -recorded_channels_are_real - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.recorded_channels_are_real - - -contains - - - -Semantics.WSM_WR_EGS_WC.expected_energy_is_real_closed - -theorem -expected_energy_is_real_closed - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.expected_energy_is_real_closed - - -contains - - - -Semantics.WSM_WR_EGS_WC.expected_energy_is_real_open - -theorem -expected_energy_is_real_open - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.expected_energy_is_real_open - - -contains - - - -Semantics.WSM_WR_EGS_WC.stationary_energy_closed - -theorem -stationary_energy_closed - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.stationary_energy_closed - - -contains - - - -Semantics.WSM_WR_EGS_WC.no_temporal_energy_signal_in_closed_system - -theorem -no_temporal_energy_signal_in_closed_syst - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.no_temporal_energy_signal_in_closed_system - - -contains - - - -Semantics.WSM_WR_EGS_WC.open_system_allows_nontrivial_energy_gradient - -theorem -open_system_allows_nontrivial_energy_gra - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.open_system_allows_nontrivial_energy_gradient - - -contains - - - -Semantics.WSM_WR_EGS_WC.coarse_graining_is_noninjective - -theorem -coarse_graining_is_noninjective - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.coarse_graining_is_noninjective - - -contains - - - -Semantics.WSM_WR_EGS_WC.feature_mediated_equivalence - -theorem -feature_mediated_equivalence - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.feature_mediated_equivalence - - -contains - - - -Semantics.WSM_WR_EGS_WC.pipeline_deterministic_closed - -theorem -pipeline_deterministic_closed - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.pipeline_deterministic_closed - - -contains - - - -Semantics.WSM_WR_EGS_WC.pipeline_deterministic_open - -theorem -pipeline_deterministic_open - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.pipeline_deterministic_open - - -contains - - - -Semantics.WSM_WR_EGS_WC.canonical_pipeline_closed - -theorem -canonical_pipeline_closed - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.canonical_pipeline_closed - - -contains - - - -Semantics.WSM_WR_EGS_WC.canonical_pipeline_open - -theorem -canonical_pipeline_open - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.canonical_pipeline_open - - -contains - - - -Semantics.WSM_WR_EGS_WC.Signal - -def -Signal - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.Signal - - -contains - - - -Semantics.WSM_WR_EGS_WC.sigAdd - -def -sigAdd - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.sigAdd - - -contains - - - -Semantics.WSM_WR_EGS_WC.sigScale - -def -sigScale - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.sigScale - - -contains - - - -Semantics.WSM_WR_EGS_WC.weightedChannelSum - -def -weightedChannelSum - - - -Semantics.WSM_WR_EGS_WC->Semantics.WSM_WR_EGS_WC.weightedChannelSum - - -contains - - - -Semantics.WaveformTeleport - -module -WaveformTeleport - - - -Semantics.WaveformTeleport.sha256Preserved - -theorem -sha256Preserved - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.sha256Preserved - - -contains - - - -Semantics.WaveformTeleport.receiptLenFaithful - -theorem -receiptLenFaithful - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.receiptLenFaithful - - -contains - - - -Semantics.WaveformTeleport.betaResidualEmpty - -theorem -betaResidualEmpty - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.betaResidualEmpty - - -contains - - - -Semantics.WaveformTeleport.constantWaveformAtFixedPoint_base - -theorem -constantWaveformAtFixedPoint_base - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.constantWaveformAtFixedPoint_base - - -contains - - - -Semantics.WaveformTeleport.waveformValid - -def -waveformValid - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.waveformValid - - -contains - - - -Semantics.WaveformTeleport.tokenAtFixedPoint - -def -tokenAtFixedPoint - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.tokenAtFixedPoint - - -contains - - - -Semantics.WaveformTeleport.tokenLawful - -def -tokenLawful - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.tokenLawful - - -contains - - - -Semantics.WaveformTeleport.decimateStep - -def -decimateStep - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.decimateStep - - -contains - - - -Semantics.WaveformTeleport.rgDecimate - -def -rgDecimate - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.rgDecimate - - -contains - - - -Semantics.WaveformTeleport.betaResidual - -def -betaResidual - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.betaResidual - - -contains - - - -Semantics.WaveformTeleport.computeSigmaQ - -def -computeSigmaQ - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.computeSigmaQ - - -contains - - - -Semantics.WaveformTeleport.extractAttractor - -def -extractAttractor - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.extractAttractor - - -contains - - - -Semantics.WaveformTeleport.upsampleStep - -def -upsampleStep - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.upsampleStep - - -contains - - - -Semantics.WaveformTeleport.rgReconstruct - -def -rgReconstruct - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.rgReconstruct - - -contains - - - -Semantics.WaveformTeleport.reconstructWaveform - -def -reconstructWaveform - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.reconstructWaveform - - -contains - - - -Semantics.WaveformTeleport.buildReceipt - -def -buildReceipt - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.buildReceipt - - -contains - - - -Semantics.WaveformTeleport.roundtripStable - -def -roundtripStable - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.roundtripStable - - -contains - - - -Semantics.WaveformTeleport.exampleConstant - -def -exampleConstant - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.exampleConstant - - -contains - - - -Semantics.WaveformTeleport.exampleRamp - -def -exampleRamp - - - -Semantics.WaveformTeleport->Semantics.WaveformTeleport.exampleRamp - - -contains - - - -Semantics.WavefrontEmitter - -module -WavefrontEmitter - - - -Semantics.WavefrontEmitter.zero - -def -zero - - - -Semantics.WavefrontEmitter->Semantics.WavefrontEmitter.zero - - -contains - - - -Semantics.WavefrontEmitter.one - -def -one - - - -Semantics.WavefrontEmitter->Semantics.WavefrontEmitter.one - - -contains - - - -Semantics.WavefrontEmitter.ofFrac - -def -ofFrac - - - -Semantics.WavefrontEmitter->Semantics.WavefrontEmitter.ofFrac - - -contains - - - -Semantics.WavefrontEmitter.add - -def -add - - - -Semantics.WavefrontEmitter->Semantics.WavefrontEmitter.add - - -contains - - - -Semantics.WavefrontEmitter.sub - -def -sub - - - -Semantics.WavefrontEmitter->Semantics.WavefrontEmitter.sub - - -contains - - - -Semantics.WavefrontEmitter.mul - -def -mul - - - -Semantics.WavefrontEmitter->Semantics.WavefrontEmitter.mul - - -contains - - - -Semantics.WavefrontEmitter.createWavefrontFromStateChange - -def -createWavefrontFromStateChange - - - -Semantics.WavefrontEmitter->Semantics.WavefrontEmitter.createWavefrontFromStateChange - - -contains - - - -Semantics.WavefrontEmitter.computeWavefrontValue - -def -computeWavefrontValue - - - -Semantics.WavefrontEmitter->Semantics.WavefrontEmitter.computeWavefrontValue - - -contains - - - -Semantics.WavefrontEmitter.emitWavefront - -def -emitWavefront - - - -Semantics.WavefrontEmitter->Semantics.WavefrontEmitter.emitWavefront - - -contains - - - -Semantics.WavefrontEmitter.initializeWavefrontParameters - -def -initializeWavefrontParameters - - - -Semantics.WavefrontEmitter->Semantics.WavefrontEmitter.initializeWavefrontParameters - - -contains - - - -Semantics.WavefrontEmitter.createStateChangeTrigger - -def -createStateChangeTrigger - - - -Semantics.WavefrontEmitter->Semantics.WavefrontEmitter.createStateChangeTrigger - - -contains - - - -Semantics.WebInteractionSurface - -module -WebInteractionSurface - - - -Semantics.WebInteractionSurface.emptyPoolHasNoActiveBrowsers - -theorem -emptyPoolHasNoActiveBrowsers - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.emptyPoolHasNoActiveBrowsers - - -contains - - - -Semantics.WebInteractionSurface.zero - -def -zero - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.zero - - -contains - - - -Semantics.WebInteractionSurface.one - -def -one - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.one - - -contains - - - -Semantics.WebInteractionSurface.ofFrac - -def -ofFrac - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.ofFrac - - -contains - - - -Semantics.WebInteractionSurface.initBrowserPool - -def -initBrowserPool - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.initBrowserPool - - -contains - - - -Semantics.WebInteractionSurface.acquireBrowser - -def -acquireBrowser - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.acquireBrowser - - -contains - - - -Semantics.WebInteractionSurface.releaseBrowser - -def -releaseBrowser - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.releaseBrowser - - -contains - - - -Semantics.WebInteractionSurface.getBrowserPoolStats - -def -getBrowserPoolStats - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.getBrowserPoolStats - - -contains - - - -Semantics.WebInteractionSurface.initSessionManager - -def -initSessionManager - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.initSessionManager - - -contains - - - -Semantics.WebInteractionSurface.createSession - -def -createSession - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.createSession - - -contains - - - -Semantics.WebInteractionSurface.isSessionExpired - -def -isSessionExpired - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.isSessionExpired - - -contains - - - -Semantics.WebInteractionSurface.getSession - -def -getSession - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.getSession - - -contains - - - -Semantics.WebInteractionSurface.cleanupExpiredSessions - -def -cleanupExpiredSessions - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.cleanupExpiredSessions - - -contains - - - -Semantics.WebInteractionSurface.getSessionManagerStats - -def -getSessionManagerStats - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.getSessionManagerStats - - -contains - - - -Semantics.WebInteractionSurface.initTaskQueue - -def -initTaskQueue - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.initTaskQueue - - -contains - - - -Semantics.WebInteractionSurface.submitTask - -def -submitTask - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.submitTask - - -contains - - - -Semantics.WebInteractionSurface.executeTask - -def -executeTask - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.executeTask - - -contains - - - -Semantics.WebInteractionSurface.getTaskQueueStats - -def -getTaskQueueStats - - - -Semantics.WebInteractionSurface->Semantics.WebInteractionSurface.getTaskQueueStats - - -contains - - - -Semantics.WebRTCWaveformSync - -module -WebRTCWaveformSync - - - -Semantics.WebRTCWaveformSync.syncWaveformSetsChannelState - -theorem -syncWaveformSetsChannelState - - - -Semantics.WebRTCWaveformSync->Semantics.WebRTCWaveformSync.syncWaveformSetsChannelState - - -contains - - - -Semantics.WebRTCWaveformSync.reproduceReceiptTrace - -theorem -reproduceReceiptTrace - - - -Semantics.WebRTCWaveformSync->Semantics.WebRTCWaveformSync.reproduceReceiptTrace - - -contains - - - -Semantics.WebRTCWaveformSync.sampleWaveform - -def -sampleWaveform - - - -Semantics.WebRTCWaveformSync->Semantics.WebRTCWaveformSync.sampleWaveform - - -contains - - - -Semantics.WebRTCWaveformSync.syncWaveform - -def -syncWaveform - - - -Semantics.WebRTCWaveformSync->Semantics.WebRTCWaveformSync.syncWaveform - - -contains - - - -Semantics.WebRTCWaveformSync.reconstructResult - -def -reconstructResult - - - -Semantics.WebRTCWaveformSync->Semantics.WebRTCWaveformSync.reconstructResult - - -contains - - - -Semantics.WebRTCWaveformSync.reproduceReceipt - -def -reproduceReceipt - - - -Semantics.WebRTCWaveformSync->Semantics.WebRTCWaveformSync.reproduceReceipt - - -contains - - - -Semantics.WhitespaceFreeGrammar - -module -WhitespaceFreeGrammar - - - -Semantics.WhitespaceFreeGrammar.exampleStoredWhitespaceZero - -theorem -exampleStoredWhitespaceZero - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.exampleStoredWhitespaceZero - - -contains - - - -Semantics.WhitespaceFreeGrammar.exampleStoredCostDropsDerivedSpaces - -theorem -exampleStoredCostDropsDerivedSpaces - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.exampleStoredCostDropsDerivedSpaces - - -contains - - - -Semantics.WhitespaceFreeGrammar.exampleDerivedBoundaryCount - -theorem -exampleDerivedBoundaryCount - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.exampleDerivedBoundaryCount - - -contains - - - -Semantics.WhitespaceFreeGrammar.exampleCanonicalDisplayCost - -theorem -exampleCanonicalDisplayCost - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.exampleCanonicalDisplayCost - - -contains - - - -Semantics.WhitespaceFreeGrammar.emptyHasNoWhitespaceCodes - -theorem -emptyHasNoWhitespaceCodes - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.emptyHasNoWhitespaceCodes - - -contains - - - -Semantics.WhitespaceFreeGrammar.singletonHasNoDerivedBoundary - -theorem -singletonHasNoDerivedBoundary - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.singletonHasNoDerivedBoundary - - -contains - - - -Semantics.WhitespaceFreeGrammar.payloadBytes - -def -payloadBytes - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.payloadBytes - - -contains - - - -Semantics.WhitespaceFreeGrammar.derivedBoundaryCount - -def -derivedBoundaryCount - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.derivedBoundaryCount - - -contains - - - -Semantics.WhitespaceFreeGrammar.storedWhitespaceCodes - -def -storedWhitespaceCodes - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.storedWhitespaceCodes - - -contains - - - -Semantics.WhitespaceFreeGrammar.storedBytes - -def -storedBytes - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.storedBytes - - -contains - - - -Semantics.WhitespaceFreeGrammar.canonicalDisplayBytes - -def -canonicalDisplayBytes - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.canonicalDisplayBytes - - -contains - - - -Semantics.WhitespaceFreeGrammar.atomA - -def -atomA - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.atomA - - -contains - - - -Semantics.WhitespaceFreeGrammar.atomB - -def -atomB - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.atomB - - -contains - - - -Semantics.WhitespaceFreeGrammar.atomC - -def -atomC - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.atomC - - -contains - - - -Semantics.WhitespaceFreeGrammar.exampleAtoms - -def -exampleAtoms - - - -Semantics.WhitespaceFreeGrammar->Semantics.WhitespaceFreeGrammar.exampleAtoms - - -contains - - - -Semantics.Witness->Semantics.Path - - -imports - - - -Semantics.Witness.Witness - -theorem -Witness - - - -Semantics.Witness->Semantics.Witness.Witness - - -contains - - - -Semantics.Witness->Semantics.Witness.Witness - - -contains - - - -Semantics.Witness.no_rooms_without_foundations - -theorem -no_rooms_without_foundations - - - -Semantics.Witness->Semantics.Witness.no_rooms_without_foundations - - -contains - - - -Semantics.Witness.no_corridors_without_laws - -theorem -no_corridors_without_laws - - - -Semantics.Witness->Semantics.Witness.no_corridors_without_laws - - -contains - - - -Semantics.Witness.no_depth_without_map - -theorem -no_depth_without_map - - - -Semantics.Witness->Semantics.Witness.no_depth_without_map - - -contains - - - -Semantics.Witness.no_invisible_capability - -theorem -no_invisible_capability - - - -Semantics.Witness->Semantics.Witness.no_invisible_capability - - -contains - - - -Semantics.Witness.no_endless_dream_logic - -theorem -no_endless_dream_logic - - - -Semantics.Witness->Semantics.Witness.no_endless_dream_logic - - -contains - - - -Semantics.Witness.no_opaque_evolution - -theorem -no_opaque_evolution - - - -Semantics.Witness->Semantics.Witness.no_opaque_evolution - - -contains - - - -Semantics.Witness.no_universality_loss_under_projection - -theorem -no_universality_loss_under_projection - - - -Semantics.Witness->Semantics.Witness.no_universality_loss_under_projection - - -contains - - - -Semantics.Witness.no_universality_loss_under_collapse - -theorem -no_universality_loss_under_collapse - - - -Semantics.Witness->Semantics.Witness.no_universality_loss_under_collapse - - -contains - - - -Semantics.Witness.no_universality_loss_under_evolution - -theorem -no_universality_loss_under_evolution - - - -Semantics.Witness->Semantics.Witness.no_universality_loss_under_evolution - - -contains - - - -Semantics.Witness.Groundedness - -def -Groundedness - - - -Semantics.Witness->Semantics.Witness.Groundedness - - -contains - - - -Semantics.Witness->Semantics.Witness.Groundedness - - -contains - - - -Semantics.Witness.UniverseConstitution - -def -UniverseConstitution - - - -Semantics.Witness->Semantics.Witness.UniverseConstitution - - -contains - - - -Semantics.Witness.AuditablyHabitable - -def -AuditablyHabitable - - - -Semantics.Witness->Semantics.Witness.AuditablyHabitable - - -contains - - - -Semantics.WitnessGrammar - -module -WitnessGrammar - - - -Semantics.WitnessGrammar.toCharge - -def -toCharge - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.toCharge - - -contains - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.toCharge - - -contains - - - -Semantics.WitnessGrammar.toMass - -def -toMass - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.toMass - - -contains - - - -Semantics.WitnessGrammar.defaultAction - -def -defaultAction - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.defaultAction - - -contains - - - -Semantics.WitnessGrammar.closureThreshold - -def -closureThreshold - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.closureThreshold - - -contains - - - -Semantics.WitnessGrammar.isClosed - -def -isClosed - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.isClosed - - -contains - - - -Semantics.WitnessGrammar.totalMass - -def -totalMass - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.totalMass - - -contains - - - -Semantics.WitnessGrammar.structuredMass - -def -structuredMass - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.structuredMass - - -contains - - - -Semantics.WitnessGrammar.stressMass - -def -stressMass - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.stressMass - - -contains - - - -Semantics.WitnessGrammar.toPolarity - -def -toPolarity - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.toPolarity - - -contains - - - -Semantics.WitnessGrammar.routeDefault - -def -routeDefault - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.routeDefault - - -contains - - - -Semantics.WitnessGrammar.witnessDistance - -def -witnessDistance - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.witnessDistance - - -contains - - - -Semantics.WitnessGrammar.bindingStability - -def -bindingStability - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.bindingStability - - -contains - - - -Semantics.WitnessGrammar.turbulence - -def -turbulence - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.turbulence - - -contains - - - -Semantics.WitnessGrammar.filterScore - -def -filterScore - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.filterScore - - -contains - - - -Semantics.WitnessGrammar.bestMatchScore - -def -bestMatchScore - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.bestMatchScore - - -contains - - - -Semantics.WitnessGrammar.capacityConstrainedBatchTransformer - -def -capacityConstrainedBatchTransformer - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.capacityConstrainedBatchTransformer - - -contains - - - -Semantics.WitnessGrammar.toyAssetShippingPort - -def -toyAssetShippingPort - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.toyAssetShippingPort - - -contains - - - -Semantics.WitnessGrammar.toyAssetDNASequencing - -def -toyAssetDNASequencing - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.toyAssetDNASequencing - - -contains - - - -Semantics.WitnessGrammar.toyAssetBakery - -def -toyAssetBakery - - - -Semantics.WitnessGrammar->Semantics.WitnessGrammar.toyAssetBakery - - -contains - - - -Semantics.YangMillsCompression - -module -YangMillsCompression - - - -Semantics.YangMillsCompression->Semantics.FixedPoint - - -imports - - - -Semantics.YangMillsCompression.pipelineRatio_ge_one - -theorem -pipelineRatio_ge_one - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.pipelineRatio_ge_one - - -contains - - - -Semantics.YangMillsCompression.stage_reduces_size - -theorem -stage_reduces_size - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.stage_reduces_size - - -contains - - - -Semantics.YangMillsCompression.conservative_le_aggressive - -theorem -conservative_le_aggressive - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.conservative_le_aggressive - - -contains - - - -Semantics.YangMillsCompression.leanMetadataAchievement - -def -leanMetadataAchievement - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.leanMetadataAchievement - - -contains - - - -Semantics.YangMillsCompression.swarmComponentsAchievement - -def -swarmComponentsAchievement - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.swarmComponentsAchievement - - -contains - - - -Semantics.YangMillsCompression.achievementRatio - -def -achievementRatio - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.achievementRatio - - -contains - - - -Semantics.YangMillsCompression.conservativeAdjustment - -def -conservativeAdjustment - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.conservativeAdjustment - - -contains - - - -Semantics.YangMillsCompression.aggressiveAdjustment - -def -aggressiveAdjustment - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.aggressiveAdjustment - - -contains - - - -Semantics.YangMillsCompression.fixedPointStage - -def -fixedPointStage - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.fixedPointStage - - -contains - - - -Semantics.YangMillsCompression.deltaEncodingStage - -def -deltaEncodingStage - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.deltaEncodingStage - - -contains - - - -Semantics.YangMillsCompression.deltaGCLStage - -def -deltaGCLStage - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.deltaGCLStage - - -contains - - - -Semantics.YangMillsCompression.topologicalStage - -def -topologicalStage - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.topologicalStage - - -contains - - - -Semantics.YangMillsCompression.neuralVAEStage - -def -neuralVAEStage - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.neuralVAEStage - - -contains - - - -Semantics.YangMillsCompression.conservativePipeline - -def -conservativePipeline - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.conservativePipeline - - -contains - - - -Semantics.YangMillsCompression.aggressivePipeline - -def -aggressivePipeline - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.aggressivePipeline - - -contains - - - -Semantics.YangMillsCompression.pipelineRatio - -def -pipelineRatio - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.pipelineRatio - - -contains - - - -Semantics.YangMillsCompression.finalCompressedSize - -def -finalCompressedSize - - - -Semantics.YangMillsCompression->Semantics.YangMillsCompression.finalCompressedSize - - -contains - - - -Semantics.YangMillsCompressionBounds - -module -YangMillsCompressionBounds - - - -Semantics.YangMillsCompressionBounds->Semantics.FixedPoint - - -imports - - - -Semantics.YangMillsCompressionBounds.lossless_ratio_ge_one - -theorem -lossless_ratio_ge_one - - - -Semantics.YangMillsCompressionBounds->Semantics.YangMillsCompressionBounds.lossless_ratio_ge_one - - -contains - - - -Semantics.YangMillsCompressionBounds.precision_reduction_exact_two - -theorem -precision_reduction_exact_two - - - -Semantics.YangMillsCompressionBounds->Semantics.YangMillsCompressionBounds.precision_reduction_exact_two - - -contains - - - -Semantics.YangMillsCompressionBounds.transmission_avoidance_no_compression - -theorem -transmission_avoidance_no_compression - - - -Semantics.YangMillsCompressionBounds->Semantics.YangMillsCompressionBounds.transmission_avoidance_no_compression - - -contains - - - -Semantics.YangMillsCompressionBounds.compression_not_transmission_avoidance - -theorem -compression_not_transmission_avoidance - - - -Semantics.YangMillsCompressionBounds->Semantics.YangMillsCompressionBounds.compression_not_transmission_avoidance - - -contains - - - -Semantics.YangMillsCompressionBounds.effective_cost_formula - -theorem -effective_cost_formula - - - -Semantics.YangMillsCompressionBounds->Semantics.YangMillsCompressionBounds.effective_cost_formula - - -contains - - - -Semantics.YangMillsCompressionBounds.losslessBounds - -def -losslessBounds - - - -Semantics.YangMillsCompressionBounds->Semantics.YangMillsCompressionBounds.losslessBounds - - -contains - - - -Semantics.YangMillsCompressionBounds.lossyBounds - -def -lossyBounds - - - -Semantics.YangMillsCompressionBounds->Semantics.YangMillsCompressionBounds.lossyBounds - - -contains - - - -Semantics.YangMillsCompressionBounds.precisionReducedBounds - -def -precisionReducedBounds - - - -Semantics.YangMillsCompressionBounds->Semantics.YangMillsCompressionBounds.precisionReducedBounds - - -contains - - - -Semantics.YangMillsCompressionBounds.transmissionAvoidanceBounds - -def -transmissionAvoidanceBounds - - - -Semantics.YangMillsCompressionBounds->Semantics.YangMillsCompressionBounds.transmissionAvoidanceBounds - - -contains - - - -Semantics.YangMillsCompressionBounds.effectiveNetworkCost - -def -effectiveNetworkCost - - - -Semantics.YangMillsCompressionBounds->Semantics.YangMillsCompressionBounds.effectiveNetworkCost - - -contains - - - -Semantics.YangMillsLattice - -module -YangMillsLattice - - - -Semantics.YangMillsLattice->Semantics.FixedPoint - - -imports - - - -Semantics.YangMillsLattice.rawLatticeSize_positive - -theorem -rawLatticeSize_positive - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.rawLatticeSize_positive - - -contains - - - -Semantics.YangMillsLattice.compressionRatio_ge_one - -theorem -compressionRatio_ge_one - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.compressionRatio_ge_one - - -contains - - - -Semantics.YangMillsLattice.compressed_le_raw - -theorem -compressed_le_raw - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.compressed_le_raw - - -contains - - - -Semantics.YangMillsLattice.defaultLatticeConfig - -def -defaultLatticeConfig - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.defaultLatticeConfig - - -contains - - - -Semantics.YangMillsLattice.latticeSites - -def -latticeSites - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.latticeSites - - -contains - - - -Semantics.YangMillsLattice.rawLatticeSize - -def -rawLatticeSize - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.rawLatticeSize - - -contains - - - -Semantics.YangMillsLattice.bytesToMegabytes - -def -bytesToMegabytes - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.bytesToMegabytes - - -contains - - - -Semantics.YangMillsLattice.rawLatticeSizeMB - -def -rawLatticeSizeMB - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.rawLatticeSizeMB - - -contains - - - -Semantics.YangMillsLattice.conservativePipeline - -def -conservativePipeline - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.conservativePipeline - - -contains - - - -Semantics.YangMillsLattice.aggressivePipeline - -def -aggressivePipeline - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.aggressivePipeline - - -contains - - - -Semantics.YangMillsLattice.totalCompressionRatio - -def -totalCompressionRatio - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.totalCompressionRatio - - -contains - - - -Semantics.YangMillsLattice.compressedLatticeSizeMB - -def -compressedLatticeSizeMB - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.compressedLatticeSizeMB - - -contains - - - -Semantics.YangMillsLattice.compressionRatio - -def -compressionRatio - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.compressionRatio - - -contains - - - -Semantics.YangMillsLattice.defaultPerformanceParams - -def -defaultPerformanceParams - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.defaultPerformanceParams - - -contains - - - -Semantics.YangMillsLattice.totalFlops - -def -totalFlops - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.totalFlops - - -contains - - - -Semantics.YangMillsLattice.secondsFromFlopsAtGFlops - -def -secondsFromFlopsAtGFlops - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.secondsFromFlopsAtGFlops - - -contains - - - -Semantics.YangMillsLattice.theoreticalTime - -def -theoreticalTime - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.theoreticalTime - - -contains - - - -Semantics.YangMillsLattice.realisticTime - -def -realisticTime - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.realisticTime - - -contains - - - -Semantics.YangMillsLattice.performanceWithCompression - -def -performanceWithCompression - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.performanceWithCompression - - -contains - - - -Semantics.YangMillsLattice.performanceWithLayer3 - -def -performanceWithLayer3 - - - -Semantics.YangMillsLattice->Semantics.YangMillsLattice.performanceWithLayer3 - - -contains - - - -Semantics.YangMillsLatticeSizing - -module -YangMillsLatticeSizing - - - -Semantics.YangMillsLatticeSizing->Semantics.FixedPoint - - -imports - - - -Semantics.YangMillsLatticeSizing.latticeSites_positive - -theorem -latticeSites_positive - - - -Semantics.YangMillsLatticeSizing->Semantics.YangMillsLatticeSizing.latticeSites_positive - - -contains - - - -Semantics.YangMillsLatticeSizing.rawStorageSize_positive - -theorem -rawStorageSize_positive - - - -Semantics.YangMillsLatticeSizing->Semantics.YangMillsLatticeSizing.rawStorageSize_positive - - -contains - - - -Semantics.YangMillsLatticeSizing.eightRealModel_eightReals - -theorem -eightRealModel_eightReals - - - -Semantics.YangMillsLatticeSizing->Semantics.YangMillsLatticeSizing.eightRealModel_eightReals - - -contains - - - -Semantics.YangMillsLatticeSizing.defaultToyLattice - -def -defaultToyLattice - - - -Semantics.YangMillsLatticeSizing->Semantics.YangMillsLatticeSizing.defaultToyLattice - - -contains - - - -Semantics.YangMillsLatticeSizing.latticeSites - -def -latticeSites - - - -Semantics.YangMillsLatticeSizing->Semantics.YangMillsLatticeSizing.latticeSites - - -contains - - - -Semantics.YangMillsLatticeSizing.rawStorageSize - -def -rawStorageSize - - - -Semantics.YangMillsLatticeSizing->Semantics.YangMillsLatticeSizing.rawStorageSize - - -contains - - - -Semantics.YangMillsLatticeSizing.bytesToMegabytes - -def -bytesToMegabytes - - - -Semantics.YangMillsLatticeSizing->Semantics.YangMillsLatticeSizing.bytesToMegabytes - - -contains - - - -Semantics.YangMillsLatticeSizing.rawStorageSizeMB - -def -rawStorageSizeMB - - - -Semantics.YangMillsLatticeSizing->Semantics.YangMillsLatticeSizing.rawStorageSizeMB - - -contains - - - -Semantics.YangMillsLatticeSizing.su3LinkModel_eightReals - -def -su3LinkModel_eightReals - - - -Semantics.YangMillsLatticeSizing->Semantics.YangMillsLatticeSizing.su3LinkModel_eightReals - - -contains - - - -Semantics.YangMillsLatticeSizing.feasibilityCheck - -def -feasibilityCheck - - - -Semantics.YangMillsLatticeSizing->Semantics.YangMillsLatticeSizing.feasibilityCheck - - -contains - - - -Semantics.YangMillsPerformance - -module -YangMillsPerformance - - - -Semantics.YangMillsPerformance->Semantics.FixedPoint - - -imports - - - -Semantics.YangMillsPerformance.theoreticalTime_positive - -theorem -theoreticalTime_positive - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.theoreticalTime_positive - - -contains - - - -Semantics.YangMillsPerformance.realistic_ge_theoretical - -theorem -realistic_ge_theoretical - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.realistic_ge_theoretical - - -contains - - - -Semantics.YangMillsPerformance.compression_reduces_time - -theorem -compression_reduces_time - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.compression_reduces_time - - -contains - - - -Semantics.YangMillsPerformance.layer3_reduces_time - -theorem -layer3_reduces_time - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.layer3_reduces_time - - -contains - - - -Semantics.YangMillsPerformance.netcupRouterSpec - -def -netcupRouterSpec - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.netcupRouterSpec - - -contains - - - -Semantics.YangMillsPerformance.racknerdSpec - -def -racknerdSpec - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.racknerdSpec - - -contains - - - -Semantics.YangMillsPerformance.defaultLatticeComputation - -def -defaultLatticeComputation - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.defaultLatticeComputation - - -contains - - - -Semantics.YangMillsPerformance.totalSites - -def -totalSites - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.totalSites - - -contains - - - -Semantics.YangMillsPerformance.totalFlops - -def -totalFlops - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.totalFlops - - -contains - - - -Semantics.YangMillsPerformance.secondsFromFlopsAtGFlops - -def -secondsFromFlopsAtGFlops - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.secondsFromFlopsAtGFlops - - -contains - - - -Semantics.YangMillsPerformance.theoreticalTimeSingle - -def -theoreticalTimeSingle - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.theoreticalTimeSingle - - -contains - - - -Semantics.YangMillsPerformance.defaultOverheadFactors - -def -defaultOverheadFactors - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.defaultOverheadFactors - - -contains - - - -Semantics.YangMillsPerformance.realisticTimeSingle - -def -realisticTimeSingle - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.realisticTimeSingle - - -contains - - - -Semantics.YangMillsPerformance.conservativeSpeedup - -def -conservativeSpeedup - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.conservativeSpeedup - - -contains - - - -Semantics.YangMillsPerformance.aggressiveSpeedup - -def -aggressiveSpeedup - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.aggressiveSpeedup - - -contains - - - -Semantics.YangMillsPerformance.timeWithCompression - -def -timeWithCompression - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.timeWithCompression - - -contains - - - -Semantics.YangMillsPerformance.defaultLayer3Speedup - -def -defaultLayer3Speedup - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.defaultLayer3Speedup - - -contains - - - -Semantics.YangMillsPerformance.timeWithLayer3 - -def -timeWithLayer3 - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.timeWithLayer3 - - -contains - - - -Semantics.YangMillsPerformance.defaultDistributedComputation - -def -defaultDistributedComputation - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.defaultDistributedComputation - - -contains - - - -Semantics.YangMillsPerformance.totalGFlops - -def -totalGFlops - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.totalGFlops - - -contains - - - -Semantics.YangMillsPerformance.distributedTime - -def -distributedTime - - - -Semantics.YangMillsPerformance->Semantics.YangMillsPerformance.distributedTime - - -contains - - - -Semantics.test_native_decide - -module -test_native_decide - - - -Semantics.test_native_decide->Semantics.FixedPoint - - -imports - - - -Semantics.test_native_decide.identity8_self_inverse - -theorem -identity8_self_inverse - - - -Semantics.test_native_decide->Semantics.test_native_decide.identity8_self_inverse - - -contains - - - -Semantics.test_native_decide.identity8_mul_self - -theorem -identity8_mul_self - - - -Semantics.test_native_decide->Semantics.test_native_decide.identity8_mul_self - - -contains - - - -Semantics.test_native_decide.det8_identity - -theorem -det8_identity - - - -Semantics.test_native_decide->Semantics.test_native_decide.det8_identity - - -contains - - - -Semantics.test_native_decide.det_self_inverse_identity - -theorem -det_self_inverse_identity - - - -Semantics.test_native_decide->Semantics.test_native_decide.det_self_inverse_identity - - -contains - - - -script:scripts/bulk_process_hepdata.py - -script -bulk_process_hepdata.py - - - -doc:6-Documentation/docs/SIGNAL_THEORY_COMPENDIUM.md - -doc -Signal Theory Compendium: Physics-Disrup - - - -script:scripts/bulk_process_hepdata.py->doc:6-Documentation/docs/SIGNAL_THEORY_COMPENDIUM.md - - -references_doc - - - -doc:6-Documentation/docs/gcl/CognitiveProcessAdapter.md - -doc -Cognitive Process Adapter - - - -script:scripts/bulk_process_hepdata.py->doc:6-Documentation/docs/gcl/CognitiveProcessAdapter.md - - -references_doc - - - -doc:6-Documentation/docs/papers/OTOM_V1_FULL_PAPER_STRUCTURE_INTEGRATED_DRAFT.md - -doc -OTOM v1: A Unified Efficiency Framework - - - -script:scripts/bulk_process_hepdata.py->doc:6-Documentation/docs/papers/OTOM_V1_FULL_PAPER_STRUCTURE_INTEGRATED_DRAFT.md - - -references_doc - - - -doc:6-Documentation/wiki/DeepSeek-Review-Process.md - -doc -DeepSeek Review Process - - - -script:scripts/bulk_process_hepdata.py->doc:6-Documentation/wiki/DeepSeek-Review-Process.md - - -references_doc - - - -script:scripts/closed_trace_runner.py - -script -closed_trace_runner.py - - - -doc:6-Documentation/docs/specs/lonely_runner_betti_mapping.md - 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