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Research-Stack/shared-data/data/stack_solidification/qc_l10_fix_dag_2026-05-13.md
Brandon Schneider 7a20002fc2 feat: eigensolid convergence proof + QC flagging tool + full pass/fail review 
Resolves the convergence_to_fixed_point failure by proving the correct
eigensolid statement: stepExact stabilizes all value components (N_7,
N_8, N_11) in one application. The original theorem was mathematically
false (iteration counter is free-running).

QC cleanup sweep across Physics/ (20 files):
- 3 remaining LOW items fixed: h00/h01 factoring, rD->rd, rdDr1/rdDr2 x100
- 6 of 7 sorry theorems proved; 1 explicitly FAILED (convergence)
- Unused imports removed, naming violations fixed, #eval witnesses added
- 210 -> 144 issues remaining (all WARNING/INFO, zero ERROR)

New tooling:
- scripts/qc-flag/lean_qc_flagger.py implemements 5-point inspection protocol
- Outputs structured JSON + Markdown pass/fail reports

DAG receipts at shared-data/data/stack_solidification/qc_*_dag_2026-05-13.md
2026-05-14 00:04:08 -05:00

2.1 KiB
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QC Fix DAG — L10: h00/h01 Helper Factoring

Date: 2026-05-13
Examiner: subagent-task
Verdict: PASS

Input

  • 0-Core-Formalism/lean/Semantics/Semantics/Physics/UniversalBridge.lean

Transformation

  • Created hermiteSharedTerms private helper factoring shared Q16.16 arithmetic
  • Refactored h00 and h01 to use helper

Output

  • 0-Core-Formalism/lean/Semantics/Semantics/Physics/UniversalBridge.lean (modified)

Verification

  • Command: lake build
  • Result: PASS
  • Jobs: 3530

Diff

diff --git a/0-Core-Formalism/lean/Semantics/Semantics/Physics/UniversalBridge.lean b/0-Core-Formalism/lean/Semantics/Semantics/Physics/UniversalBridge.lean
index c652b1bb..9913a2b7 100644
--- a/0-Core-Formalism/lean/Semantics/Semantics/Physics/UniversalBridge.lean
+++ b/0-Core-Formalism/lean/Semantics/Semantics/Physics/UniversalBridge.lean
@@ -33,6 +33,13 @@ private def q16_add (a b : Int) : Int := a + b
 
 private def q16_sub (a b : Int) : Int := a - b
 
+private def hermiteSharedTerms (t : Int) : Int × Int × Int × Int :=
+  let t2 := q16Mul t t
+  let t3 := q16Mul t2 t
+  let term3 := q16Mul (3 * scale) t2
+  let term2 := q16Mul (2 * scale) t3
+  (t2, t3, term3, term2)
+
 -- ============================================================================
 -- Normalized variable t = (Re − 2300) / 1700, as Q16.16
 -- ============================================================================
@@ -48,18 +55,12 @@ def normalizedT (re : Int) : Option Int :=
 
 /-- Basis function h00(t) = (1 − t)²(1 + 2t) = 1 − 3t² + 2t³ -/
 def h00 (t : Int) : Int :=
-  let t2 := q16Mul t t
-  let t3 := q16Mul t2 t
-  let term3 := q16Mul (3 * scale) t2
-  let term2 := q16Mul (2 * scale) t3
+  let (_, _, term3, term2) := hermiteSharedTerms t
   q16_sub (q16_add scale term2) term3
 
 /-- Basis function h01(t) = t²(3 − 2t) = 3t² − 2t³ -/
 def h01 (t : Int) : Int :=
-  let t2 := q16Mul t t
-  let t3 := q16Mul t2 t
-  let term3 := q16Mul (3 * scale) t2
-  let term2 := q16Mul (2 * scale) t3
+  let (_, _, term3, term2) := hermiteSharedTerms t
   q16_sub term3 term2
 
 /-- Basis function h10(t) = (1 − t)²·t -/