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← Session 22 — ii′-1: liCoeff pairing fix + residue machinery

#1056 assistant 2026-08-22 05:53:03.326 UTC · 481→425 tok open ⤢
thinking (117 chars)
Build GREEN (8747 jobs), audit clean (6 declarations, 3 standard axioms only). Commit the work and close session 019.
Build GREEN, audit clean. Committing and closing session 019.
tool: Bash
input
{
  "command": "cd \"D:/Python/Quantum\" && git add research/lean/NguyenRH1/NguyenRH1/LiZetaCoeff.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 \"$(cat <<'EOF'\nSession 019: ii'-3a piece (B) \u2014 the zeta-piece Taylor coefficients\n\nLiZetaCoeff.lean (~250 lines): hLiExt (the analytic-at-0 form of\n1/s + \u03b6\u2032/\u03b6(1+s)) + **iteratedDeriv_hLiExt**: iteratedDeriv j hLiExt 0 =\n\u2212(j!)\u00b7lcoeff j \u2014 the Taylor coefficients at 0 are \u2212c_j. Via the exact\nidentity s\u00b7hLiExt s = 1 \u2212 hLi(1+s), Leibniz collapse (iteratedDeriv_mul,\nidentity factor kills all but i = 1), comp bridge (iteratedDeriv_comp_\nsub_const at c = \u22121), removable-singularity analyticity (zetaA pattern).\nPlus hLiExt_eq_near_zero (reading as the meromorphic 1/s + \u03b6\u2032/\u03b6(1+s)).\nFull build GREEN (8747 jobs); 6 new decls, 3 standard axioms only.\nEOF\n)\" && git log --oneline -1",
  "description": "Commit LiZetaCoeff work"
}
raw content_json (database row)
[{"type":"thinking","thinking":"Build GREEN (8747 jobs), audit clean (6 declarations, 3 standard axioms only). Commit the work and close session 019.","signature":""},{"type":"text","text":"Build GREEN, audit clean. Committing and closing session 019."},{"type":"tool_use","id":"Bash_239","name":"Bash","input":{"command":"cd \"D:/Python/Quantum\" && git add research/lean/NguyenRH1/NguyenRH1/LiZetaCoeff.lean research/lean/NguyenRH1/NguyenRH1.lean research/lean/NguyenRH1/PrintAxioms.lean && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 019: ii'-3a piece (B) — the zeta-piece Taylor coefficients\n\nLiZetaCoeff.lean (~250 lines): hLiExt (the analytic-at-0 form of\n1/s + ζ′/ζ(1+s)) + **iteratedDeriv_hLiExt**: iteratedDeriv j hLiExt 0 =\n−(j!)·lcoeff j — the Taylor coefficients at 0 are −c_j. Via the exact\nidentity s·hLiExt s = 1 − hLi(1+s), Leibniz collapse (iteratedDeriv_mul,\nidentity factor kills all but i = 1), comp bridge (iteratedDeriv_comp_\nsub_const at c = −1), removable-singularity analyticity (zetaA pattern).\nPlus hLiExt_eq_near_zero (reading as the meromorphic 1/s + ζ′/ζ(1+s)).\nFull build GREEN (8747 jobs); 6 new decls, 3 standard axioms only.\nEOF\n)\" && git log --oneline -1","description":"Commit LiZetaCoeff work"},"extra_content":null}]