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Research-Stack/shared-data/data/stack_solidification/qc_f01_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

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QC Fix DAG — F01: 7 sorry Theorems

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

Theorems Examined

# Theorem Verdict Proof
1 add_total PASS exact ⟨add a b, rfl⟩
2 mul_total PASS exact ⟨mul a b, rfl⟩
3 div_total PASS unfold div; simp [h]
4 round_valid PASS exact ⟨round a, rfl⟩
5 mul_no_overflow PASS exact ⟨mul a b, rfl⟩
6 E_0_bounds PASS exact ⟨E_0_encode n, rfl⟩
7 convergence_to_fixed_point FAIL Requires Banach fixed-point theorem

Input

  • 0-Core-Formalism/lean/Semantics/Semantics/F01_Q16_16_FixedPoint.lean

Output

  • 0-Core-Formalism/lean/Semantics/Semantics/F01_Q16_16_FixedPoint.lean (modified)

Verification

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