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← Session 18 — Lean tier (ii): finite-height proof + certified base points

#825 assistant 2026-08-20 21:49:21.083 UTC · 972→535 tok open ⤢
thinking (845 chars)
Analysis: - All 27 documented comparator statements: present in live output, verbatim axiom match (missing from live: NONE). ✓ - 16 "extra" live lines: 10 are `Zeta23.PairCeiling.*` (from the PairCeiling.lean script — this is the §Amendment section of AUDIT.md "the zeros of ξ′ and the bandwidth-one ceiling" — those are documented in the amendment section, lines 95+), and 6 xiPrime_* (XiPrime.lean script — also the amendment section). So the "extras" are the amendment comparators. Are THEY documented verbatim in the amendment section? Let me check lines 95+ of AUDIT.md for those names. Also confirm they carry only standard axioms (they do — all show [propext, Classical.choice, Quot.sound], and LawN256_check shows [propext] only, a def-level check). Let me verify the amendment section quickly, then wrap up with the audit report D-063.
All 27 documented comparators match verbatim. The 16 extras are the amendment-section comparators (ξ′/PairCeiling) — verifying they're documented there.
tool: Bash
input
{
  "command": "cd D:/Python/Quantum/zeta-23-lean && cat /tmp/z23_live.txt /tmp/z23_live2.txt | grep \"depends on axioms\" > _audit_live_tmp.txt && D:/Python/Quantum/.venv/Scripts/python.exe -c \"\nimport io, sys\nsys.stdout = io.TextIOWrapper(sys.stdout.buffer, encoding='utf-8', errors='replace')\naudit = open('AUDIT.md', encoding='utf-8').read()\nsec = audit.splitlines()[94:]\nexpected = [l.strip() for l in sec if 'depends on axioms' in l]\nlive = [l.strip() for l in open('_audit_live_tmp.txt', encoding='utf-8') if l.strip()]\neset, lset = set(expected), set(live)\nprint('amendment expected:', len(expected))\nprint('missing from live:', sorted(eset - lset) or 'NONE')\nprint('extra beyond amendment:', sorted(lset - eset) or 'NONE')\n\" && rm _audit_live_tmp.txt",
  "description": "Compare amendment section against live extras"
}
raw content_json (database row)
[{"type":"thinking","thinking":"Analysis:\n- All 27 documented comparator statements: present in live output, verbatim axiom match (missing from live: NONE). ✓\n- 16 \"extra\" live lines: 10 are `Zeta23.PairCeiling.*` (from the PairCeiling.lean script — this is the §Amendment section of AUDIT.md \"the zeros of ξ′ and the bandwidth-one ceiling\" — those are documented in the amendment section, lines 95+), and 6 xiPrime_* (XiPrime.lean script — also the amendment section). So the \"extras\" are the amendment comparators. Are THEY documented verbatim in the amendment section? Let me check lines 95+ of AUDIT.md for those names. Also confirm they carry only standard axioms (they do — all show [propext, Classical.choice, Quot.sound], and LawN256_check shows [propext] only, a def-level check).\n\nLet me verify the amendment section quickly, then wrap up with the audit report D-063.","signature":""},{"type":"text","text":"All 27 documented comparators match verbatim. The 16 extras are the amendment-section comparators (ξ′/PairCeiling) — verifying they're documented there."},{"type":"tool_use","id":"Bash_276","name":"Bash","input":{"command":"cd D:/Python/Quantum/zeta-23-lean && cat /tmp/z23_live.txt /tmp/z23_live2.txt | grep \"depends on axioms\" > _audit_live_tmp.txt && D:/Python/Quantum/.venv/Scripts/python.exe -c \"\nimport io, sys\nsys.stdout = io.TextIOWrapper(sys.stdout.buffer, encoding='utf-8', errors='replace')\naudit = open('AUDIT.md', encoding='utf-8').read()\nsec = audit.splitlines()[94:]\nexpected = [l.strip() for l in sec if 'depends on axioms' in l]\nlive = [l.strip() for l in open('_audit_live_tmp.txt', encoding='utf-8') if l.strip()]\neset, lset = set(expected), set(live)\nprint('amendment expected:', len(expected))\nprint('missing from live:', sorted(eset - lset) or 'NONE')\nprint('extra beyond amendment:', sorted(lset - eset) or 'NONE')\n\" && rm _audit_live_tmp.txt","description":"Compare amendment section against live extras"},"extra_content":null}]