← Session 27 — ii′-5c/5d: Davenport disc + FE-reflection bounds
thinking (514 chars)
All 15 declarations audit clean (3 standard axioms, zero sorryAx). ii′-5e-ii COMPLETE:
- (T) telescope
- (B) norm_digamma_le_of_two_le_re (right-half bound)
- (C) digamma_recip_sum_le (separated reciprocal sum)
- (A) norm_digamma_le_of_dist_nat (near-axis bound, affine form)
- (G) logDeriv_Gammaℝ_eq (the general identity for im s ≠ 0)
Commit this, then session closure (journal, STATE, NGUYEN, db). Let me write the closure now since the session has been very long — the remaining 5e-iii/iv/v go to session 028.
All 15 decls clean — **ii′-5e-ii COMPLETE**. Committing and closing the session.
tool: Bash ok
input
{
"command": "cd /d/Python/Quantum && git add research/lean/NguyenRH1/NguyenRH1/LiDigammaLeft.lean research/lean/NguyenRH1/Scratch.lean research/lean/NguyenRH1/audit-session027c-axioms.txt && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 027 (ii'-5e-ii COMPLETE): near-axis digamma bound + general logDeriv GammaR identity\n\nLiDigammaLeft.lean second half: digamma_add_natCast' (pole-avoidance\nform of the recurrence); norm_digamma_le_of_dist_nat (A): ||psi(w)||\n<= (46 + 2/c) + 23*log(2+||w||) for re w <= 2, dist(w,-N) >= c\n(recurrence to re in [3,4) + the (C) sum bound + StirlingVert or (B)\nat the landing point); logDeriv_Gamma\u211d_eq (G): logDeriv GammaR s =\n-(log pi)/2 + (1/2) psi(s/2) for im s != 0 (the m-fold shift via\ngamma_mul_prod + the EventuallyEq machinery). Full build 8764 jobs;\n15 decls audited: 3 standard axioms only.\nEOF\n)\" && git log --oneline -1",
"description": "Commit the 5e-ii completion"
}
result 2026-08-23 11:54:22Z → 2026-08-23 11:54:22Z
[master ec13029] Session 027 (ii'-5e-ii COMPLETE): near-axis digamma bound + general logDeriv GammaR identity 3 files changed, 367 insertions(+), 1 deletion(-) create mode 100644 research/lean/NguyenRH1/audit-session027c-axioms.txt ec13029 Session 027 (ii'-5e-ii COMPLETE): near-axis digamma bound + general logDeriv GammaR identity
raw content_json (database row)
[{"type":"thinking","thinking":"All 15 declarations audit clean (3 standard axioms, zero sorryAx). ii′-5e-ii COMPLETE:\n- (T) telescope\n- (B) norm_digamma_le_of_two_le_re (right-half bound)\n- (C) digamma_recip_sum_le (separated reciprocal sum)\n- (A) norm_digamma_le_of_dist_nat (near-axis bound, affine form)\n- (G) logDeriv_Gammaℝ_eq (the general identity for im s ≠ 0)\n\nCommit this, then session closure (journal, STATE, NGUYEN, db). Let me write the closure now since the session has been very long — the remaining 5e-iii/iv/v go to session 028.","signature":""},{"type":"text","text":"All 15 decls clean — **ii′-5e-ii COMPLETE**. Committing and closing the session."},{"type":"tool_use","id":"Bash_464","name":"Bash","input":{"command":"cd /d/Python/Quantum && git add research/lean/NguyenRH1/NguyenRH1/LiDigammaLeft.lean research/lean/NguyenRH1/Scratch.lean research/lean/NguyenRH1/audit-session027c-axioms.txt && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 027 (ii'-5e-ii COMPLETE): near-axis digamma bound + general logDeriv GammaR identity\n\nLiDigammaLeft.lean second half: digamma_add_natCast' (pole-avoidance\nform of the recurrence); norm_digamma_le_of_dist_nat (A): ||psi(w)||\n<= (46 + 2/c) + 23*log(2+||w||) for re w <= 2, dist(w,-N) >= c\n(recurrence to re in [3,4) + the (C) sum bound + StirlingVert or (B)\nat the landing point); logDeriv_Gammaℝ_eq (G): logDeriv GammaR s =\n-(log pi)/2 + (1/2) psi(s/2) for im s != 0 (the m-fold shift via\ngamma_mul_prod + the EventuallyEq machinery). Full build 8764 jobs;\n15 decls audited: 3 standard axioms only.\nEOF\n)\" && git log --oneline -1","description":"Commit the 5e-ii completion"},"extra_content":null}]