← Session 18 — Lean tier (ii): finite-height proof + certified base points
thinking (1307 chars)
The comparison confirms:
- Amendment section: 16 expected, all present in live (missing: NONE).
- "Extra beyond amendment" = the 27 main comparators (already verified verbatim in the previous step).
So: 43 live lines = 27 main comparators (verbatim match) + 16 amendment comparators (verbatim match). **The inherited library audit is fully re-verified LIVE.** No sorryAx anywhere in comparators; all show the 3 standard axioms (or fewer for defs).
Audit complete. All steps:
- A. Source sweep ✓ (5 sorrys exactly, nothing forbidden)
- B. Clean-room rebuild ✓ (8707 jobs from empty)
- C. Exhaustive axiom audit ✓ (139 declarations; 134 clean, 5 intended skeletons)
- D. Statement correspondence ✓
- E. Inherited comparators verbatim ✓ (27 + 16)
Now F: file the audit report D-063, register in db, update journal, commit. Also save the audit log file for the record — put the exhaustive output into the repo? The PrintAxiomsAll.lean script itself is worth keeping (in the NguyenRH1 dir) + the output log. Let me copy /tmp/axioms_all.txt into the package as audit output... Convention: zeta-23-lean has lean-axiom-audit.log at root. For NguyenRH1: save PrintAxiomsAll.lean (already created in the package dir) + the output as research/lean/NguyenRH1/audit-session013.log or similar. Keep both.
Write D-063.
Inherited library fully re-verified: 27 main + 16 amendment comparators, all verbatim matches. Saving the audit artifacts and filing the report.
tool: Bash ok
input
{
"command": "cp /tmp/axioms_all.txt D:/Python/Quantum/research/lean/NguyenRH1/audit-session013-axioms.log && head -3 D:/Python/Quantum/research/lean/NguyenRH1/audit-session013-axioms.log && wc -l D:/Python/Quantum/research/lean/NguyenRH1/audit-session013-axioms.log",
"description": "Archive the exhaustive audit output"
}
result 2026-08-20 21:49:44Z → 2026-08-25 06:10:01Z
Scratch.lean:10:17: error: Tactic `cases` failed with a nested error: Dependent elimination failed: Failed to solve equation Real.add✝ (↑(2 * √↑n)).re (↑T * I).re = s.1 at case `Eq.refl`
raw content_json (database row)
[{"type":"thinking","thinking":"The comparison confirms:\n- Amendment section: 16 expected, all present in live (missing: NONE).\n- \"Extra beyond amendment\" = the 27 main comparators (already verified verbatim in the previous step).\n\nSo: 43 live lines = 27 main comparators (verbatim match) + 16 amendment comparators (verbatim match). **The inherited library audit is fully re-verified LIVE.** No sorryAx anywhere in comparators; all show the 3 standard axioms (or fewer for defs).\n\nAudit complete. All steps:\n- A. Source sweep ✓ (5 sorrys exactly, nothing forbidden)\n- B. Clean-room rebuild ✓ (8707 jobs from empty)\n- C. Exhaustive axiom audit ✓ (139 declarations; 134 clean, 5 intended skeletons)\n- D. Statement correspondence ✓\n- E. Inherited comparators verbatim ✓ (27 + 16)\n\nNow F: file the audit report D-063, register in db, update journal, commit. Also save the audit log file for the record — put the exhaustive output into the repo? The PrintAxiomsAll.lean script itself is worth keeping (in the NguyenRH1 dir) + the output log. Let me copy /tmp/axioms_all.txt into the package as audit output... Convention: zeta-23-lean has lean-axiom-audit.log at root. For NguyenRH1: save PrintAxiomsAll.lean (already created in the package dir) + the output as research/lean/NguyenRH1/audit-session013.log or similar. Keep both.\n\nWrite D-063.","signature":""},{"type":"text","text":"Inherited library fully re-verified: 27 main + 16 amendment comparators, all verbatim matches. Saving the audit artifacts and filing the report."},{"type":"tool_use","id":"Bash_277","name":"Bash","input":{"command":"cp /tmp/axioms_all.txt D:/Python/Quantum/research/lean/NguyenRH1/audit-session013-axioms.log && head -3 D:/Python/Quantum/research/lean/NguyenRH1/audit-session013-axioms.log && wc -l D:/Python/Quantum/research/lean/NguyenRH1/audit-session013-axioms.log","description":"Archive the exhaustive audit output"},"extra_content":null}]