← Session 29 — ii′-5e-v: circle bound (far-tail + series bounds)
thinking (63 chars)
c-i compiles clean. Commit, then c-ii (digamma bounds + elems).
c-i compiles. Commit, then c-ii.
tool: Bash
input
{
"command": "cd \"D:/Python/Quantum\" && git add research/lean/NguyenRH1/NguyenRH1/LiCircleBound.lean && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 033 (ii'-5e-v-c-i): (G) at real points + separation + near count\n\ndifferentiableAt_Gamma\u211d_of_not_neg_nat + logDeriv_Gamma\u211d_eq_of_not_neg_nat\n(the GammaR logDeriv formula at ANY s with s/2 off the Gamma poles, via\nlogDeriv_mul on Gamma\u211d_def \u2014 digamma := logDeriv Gamma by definition;\ndischarges the real point s = -R with no continuity argument);\ngapCircle_sep (the shell_crit arc analysis standalone for ALL nontrivial\nzeros); nearZeros_count_le (the near-window mult-count <=\n3*A0*log(3*max|t-1||t+1|+5)); gapCircle_sep_of_mem_nearZeros. New\nimports: LiDisc, LiReflect, LiDigammaLeft.\nEOF\n)\" 2>&1 | tail -2",
"description": "Commit c-i",
"timeout": 120000
}
raw content_json (database row)
[{"type":"thinking","thinking":"c-i compiles clean. Commit, then c-ii (digamma bounds + elems).","signature":""},{"type":"text","text":"c-i compiles. Commit, then c-ii."},{"type":"tool_use","id":"Bash_177","name":"Bash","input":{"command":"cd \"D:/Python/Quantum\" && git add research/lean/NguyenRH1/NguyenRH1/LiCircleBound.lean && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 033 (ii'-5e-v-c-i): (G) at real points + separation + near count\n\ndifferentiableAt_Gammaℝ_of_not_neg_nat + logDeriv_Gammaℝ_eq_of_not_neg_nat\n(the GammaR logDeriv formula at ANY s with s/2 off the Gamma poles, via\nlogDeriv_mul on Gammaℝ_def — digamma := logDeriv Gamma by definition;\ndischarges the real point s = -R with no continuity argument);\ngapCircle_sep (the shell_crit arc analysis standalone for ALL nontrivial\nzeros); nearZeros_count_le (the near-window mult-count <=\n3*A0*log(3*max|t-1||t+1|+5)); gapCircle_sep_of_mem_nearZeros. New\nimports: LiDisc, LiReflect, LiDigammaLeft.\nEOF\n)\" 2>&1 | tail -2","description":"Commit c-i","timeout":120000},"extra_content":null}]