← Session 27 — ii′-5c/5d: Davenport disc + FE-reflection bounds
thinking (277 chars)
Audit clean: 8 decls, 3 standard axioms, zero sorryAx. `zeroMult_neg_two_mul` proved: zeroMult(−2n) = 1 for all n ≥ 1.
Now commit this first item, then proceed to the ii′-5e design doc (D-068). Let me commit the Lean work now (crash-safe protocol: save artifacts immediately).
Audit clean — 8 decls, 3 standard axioms. Committing this first item immediately (crash-safe).
tool: Bash
input
{
"command": "cd /d/Python/Quantum && git add research/lean/NguyenRH1/NguyenRH1/LiTrivialZeros.lean research/lean/NguyenRH1/NguyenRH1.lean research/lean/NguyenRH1/Scratch.lean research/lean/NguyenRH1/audit-session026-axioms.txt && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 026 (ii'-5e prep): zeroMult(-2n) = 1 for ALL n >= 1\n\nLiTrivialZeros.lean: gamma_mul_prod (product-form Gamma recurrence,\ninduction on Gamma_add_one); the HfunT n cofactor (analytic + nonzero\nat -2n via Q_n(-2n) = product of (-n+j) != 0 and Lambda(-2n) =\nLambda(1+2n) = GammaR(1+2n)*zeta(1+2n) != 0); capstone\nzeroMult_neg_two_mul via analyticOrderAt_eq_natCast. Generalizes\nii'-4c's zeroMult_neg_two. 8 decls audited: 3 standard axioms only.\nEOF\n)\" && git log --oneline -1",
"description": "Commit the trivial-zero simplicity generalization"
}
raw content_json (database row)
[{"type":"thinking","thinking":"Audit clean: 8 decls, 3 standard axioms, zero sorryAx. `zeroMult_neg_two_mul` proved: zeroMult(−2n) = 1 for all n ≥ 1.\n\nNow commit this first item, then proceed to the ii′-5e design doc (D-068). Let me commit the Lean work now (crash-safe protocol: save artifacts immediately).","signature":""},{"type":"text","text":"Audit clean — 8 decls, 3 standard axioms. Committing this first item immediately (crash-safe)."},{"type":"tool_use","id":"Bash_201","name":"Bash","input":{"command":"cd /d/Python/Quantum && git add research/lean/NguyenRH1/NguyenRH1/LiTrivialZeros.lean research/lean/NguyenRH1/NguyenRH1.lean research/lean/NguyenRH1/Scratch.lean research/lean/NguyenRH1/audit-session026-axioms.txt && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 026 (ii'-5e prep): zeroMult(-2n) = 1 for ALL n >= 1\n\nLiTrivialZeros.lean: gamma_mul_prod (product-form Gamma recurrence,\ninduction on Gamma_add_one); the HfunT n cofactor (analytic + nonzero\nat -2n via Q_n(-2n) = product of (-n+j) != 0 and Lambda(-2n) =\nLambda(1+2n) = GammaR(1+2n)*zeta(1+2n) != 0); capstone\nzeroMult_neg_two_mul via analyticOrderAt_eq_natCast. Generalizes\nii'-4c's zeroMult_neg_two. 8 decls audited: 3 standard axioms only.\nEOF\n)\" && git log --oneline -1","description":"Commit the trivial-zero simplicity generalization"},"extra_content":null}]