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← Session 27 — ii′-5c/5d: Davenport disc + FE-reflection bounds

#1384 assistant 2026-08-23 06:47:31.738 UTC · 368→559 tok open ⤢
thinking (1590 chars)
While the full build runs, let me prepare the axiom audit script. Following the pattern from previous sessions (audit-sessionNNN-axioms.txt), a PrintAxioms script for the new declarations: New declarations in LiReflect.lean: - norm_le_abs_re_add_abs_im' - im_div_two, re_div_two - Gammaℝ_ne_zero_of_im_ne_zero' - differentiableAt_Gammaℝ_of_im_ne_zero' - logDeriv_congr - gammaR_shift_four, gammaR_shift - logDeriv_Gammaℝ_shift - completedZeta_eventuallyEq - logDeriv_completedZeta_eq_add - logDeriv_completedZeta_neg_one_sub - riemannZeta_one_sub_ne_zero - logDeriv_zeta_fe - riemannZeta_one_sub_eq_zero_of_nontrivial - one_sub_mem_nearZeros_neg - mem_nearZeros_of_one_sub_mem_neg - nearZeros_neg_eq_image - zeroMult_one_sub - sum_nearZeros_neg_reflect - norm_log_le_of_one_le - norm_digamma_le_log_of - gammaR_bracket_norm_le - digamma_add_natCast - norm_digamma_sub_log_le_of_two_le_abs_im - logDeriv_riemannZeta_sub_nearZeros_le_left 26 decls. The audit script: a lean file with `#print axioms NguyenRH1....` for each, run via lake env lean. The output expected: 'depends on axioms: [propext, Classical.choice, Quot.sound]' for each (the 3 standard axioms), and crucially NO sorryAx. Let me write the audit script now (in the package root or a scratch location — previous sessions used scripts like audit-session024-axioms; where do they live? STATE.md mentions "audit-session024-axioms.txt" — the txt output. The script itself probably a temporary .lean file. Let me create the script in the package dir (not tracked or... let me check if there's an existing audit script to mirror).
While the build runs, preparing the axiom audit script.
tool: Bash
input
{
  "command": "ls /d/Python/Quantum/research/lean/NguyenRH1/*.lean /d/Python/Quantum/research/lean/NguyenRH1/*.txt 2>/dev/null; ls /d/Python/Quantum/research/lean/NguyenRH1/",
  "description": "Check for existing audit scripts"
}
raw content_json (database row)
[{"type":"thinking","thinking":"While the full build runs, let me prepare the axiom audit script. Following the pattern from previous sessions (audit-sessionNNN-axioms.txt), a PrintAxioms script for the new declarations:\n\nNew declarations in LiReflect.lean:\n- norm_le_abs_re_add_abs_im'\n- im_div_two, re_div_two\n- Gammaℝ_ne_zero_of_im_ne_zero'\n- differentiableAt_Gammaℝ_of_im_ne_zero'\n- logDeriv_congr\n- gammaR_shift_four, gammaR_shift\n- logDeriv_Gammaℝ_shift\n- completedZeta_eventuallyEq\n- logDeriv_completedZeta_eq_add\n- logDeriv_completedZeta_neg_one_sub\n- riemannZeta_one_sub_ne_zero\n- logDeriv_zeta_fe\n- riemannZeta_one_sub_eq_zero_of_nontrivial\n- one_sub_mem_nearZeros_neg\n- mem_nearZeros_of_one_sub_mem_neg\n- nearZeros_neg_eq_image\n- zeroMult_one_sub\n- sum_nearZeros_neg_reflect\n- norm_log_le_of_one_le\n- norm_digamma_le_log_of\n- gammaR_bracket_norm_le\n- digamma_add_natCast\n- norm_digamma_sub_log_le_of_two_le_abs_im\n- logDeriv_riemannZeta_sub_nearZeros_le_left\n\n26 decls. The audit script: a lean file with `#print axioms NguyenRH1....` for each, run via lake env lean. The output expected: 'depends on axioms: [propext, Classical.choice, Quot.sound]' for each (the 3 standard axioms), and crucially NO sorryAx.\n\nLet me write the audit script now (in the package root or a scratch location — previous sessions used scripts like audit-session024-axioms; where do they live? STATE.md mentions \"audit-session024-axioms.txt\" — the txt output. The script itself probably a temporary .lean file. Let me create the script in the package dir (not tracked or... let me check if there's an existing audit script to mirror).","signature":""},{"type":"text","text":"While the build runs, preparing the axiom audit script."},{"type":"tool_use","id":"Bash_143","name":"Bash","input":{"command":"ls /d/Python/Quantum/research/lean/NguyenRH1/*.lean /d/Python/Quantum/research/lean/NguyenRH1/*.txt 2>/dev/null; ls /d/Python/Quantum/research/lean/NguyenRH1/","description":"Check for existing audit scripts"},"extra_content":null}]