← Session 22 — ii′-1: liCoeff pairing fix + residue machinery
thinking (424 chars)
All 18 declarations show only the 3 standard axioms (propext, Classical.choice, Quot.sound) — none with sorryAx or anything else (the first grep for non-standard lines returned nothing, and 18/18 are the standard trio).
Piece (A) is COMPLETE. Let me commit and do the archive closure for session 020. It's ~01:00 AM — a natural, major boundary (piece A was the heavy rock of ii′-3a; now ii′-3a is fully done: pieces A + B).
All 18 declarations: 3 standard axioms only. Committing and closing session 020.
tool: Bash ok
input
{
"command": "cd \"D:/Python/Quantum\" && git add research/lean/NguyenRH1/NguyenRH1/LiArchimedean.lean research/lean/NguyenRH1/NguyenRH1/LiDigamma.lean research/lean/NguyenRH1/NguyenRH1.lean research/lean/NguyenRH1/PrintAxioms.lean && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 020: ii'-3a COMPLETE \u2014 the archimedean coefficient evaluation\n\nCapstone iteratedDeriv_logDeriv_Gamma\u211d: for all j \u2265 0,\n iteratedDeriv j (fun s => logDeriv Gamma\u211d (1+s)) 0\n = (\u22121)^{j+1}\u00b7j!\u00b7\u2191lagariasA(j+1).\nPiece (A) chain: Gamma\u211d logDeriv split + \u03c4\u2080 (digamma_one_half) + the\ndigamma partial-fraction series built from logGammaSeq (real identity\nvia the deriv-limit interchange; complex series via Weierstrass +\nidentity principle) + polygamma values at 1/2 (iteratedDerivWithin_tsum)\n+ the odd-m reindexing to lagariasA + affine comp. Full build GREEN\n(8749 jobs); 18 key decls audited: 3 standard axioms only.\nii\u2032-3a (pieces A + B) now fully done.\nEOF\n)\" && git log --oneline -1",
"description": "Commit the capstone"
}
result 2026-08-22 11:30:34Z → 2026-08-22 11:30:35Z
[master b7ff872] Session 020: ii'-3a COMPLETE — the archimedean coefficient evaluation 3 files changed, 140 insertions(+), 5 deletions(-) b7ff872 Session 020: ii'-3a COMPLETE — the archimedean coefficient evaluation
raw content_json (database row)
[{"type":"thinking","thinking":"All 18 declarations show only the 3 standard axioms (propext, Classical.choice, Quot.sound) — none with sorryAx or anything else (the first grep for non-standard lines returned nothing, and 18/18 are the standard trio).\n\nPiece (A) is COMPLETE. Let me commit and do the archive closure for session 020. It's ~01:00 AM — a natural, major boundary (piece A was the heavy rock of ii′-3a; now ii′-3a is fully done: pieces A + B).","signature":""},{"type":"text","text":"All 18 declarations: 3 standard axioms only. Committing and closing session 020."},{"type":"tool_use","id":"Bash_591","name":"Bash","input":{"command":"cd \"D:/Python/Quantum\" && git add research/lean/NguyenRH1/NguyenRH1/LiArchimedean.lean research/lean/NguyenRH1/NguyenRH1/LiDigamma.lean research/lean/NguyenRH1/NguyenRH1.lean research/lean/NguyenRH1/PrintAxioms.lean && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 020: ii'-3a COMPLETE — the archimedean coefficient evaluation\n\nCapstone iteratedDeriv_logDeriv_Gammaℝ: for all j ≥ 0,\n iteratedDeriv j (fun s => logDeriv Gammaℝ (1+s)) 0\n = (−1)^{j+1}·j!·↑lagariasA(j+1).\nPiece (A) chain: Gammaℝ logDeriv split + τ₀ (digamma_one_half) + the\ndigamma partial-fraction series built from logGammaSeq (real identity\nvia the deriv-limit interchange; complex series via Weierstrass +\nidentity principle) + polygamma values at 1/2 (iteratedDerivWithin_tsum)\n+ the odd-m reindexing to lagariasA + affine comp. Full build GREEN\n(8749 jobs); 18 key decls audited: 3 standard axioms only.\nii′-3a (pieces A + B) now fully done.\nEOF\n)\" && git log --oneline -1","description":"Commit the capstone"},"extra_content":null}]