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YangBaxter.lean: the prior `yang_baxter_holds` was `rfl` over two alpha-equivalent sums (literally X = X); even the intended R = B(x)B claim satisfies YBE vacuously (B^2(x)B^2(x)B^2 on both sides, for any B). An exact rational search (ybe_sidon.py, ybe_verify.py) showed the Sidon block admits no invertible, non-triangular R-matrix. Replaced with `braid_relation_S8` -- the honest symmetric-group (S_n image of B_n, Artin 1947) braid relation as a concrete 8x8 permutation-matrix identity, by `decide` -- plus `braid_relation_falsifiable`, a negative control proving the statement is not vacuous (a non-permutation gate breaks it). Both axiom-clean: no sorryAx, no ofReduceBool (genuine kernel `decide`, not native_decide). SidonMirrorNotch.lean (new): the mirror-projection spine, written from scratch (no such file existed despite being cited). Mirror involution tau(a) = S - a, the observerless difference-invariant, and the notch congruence a == S - a [ZMOD l] <-> l | (2a - S). Both files verified standalone via `lake env lean` (elan toolchain v4.30.0-rc2). Known follow-up (next commit): UnifiedCovariant.lean re-exports the deleted `yang_baxter_holds` and must be retired for a green full `lake build`. Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com> |
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| BindingSite | ||
| CoreFormalism | ||
| PVGS_DQ_Bridge | ||
| RRCLib | ||
| SilverSight | ||
| UniversalEncoding | ||