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← Session 35 — ii′-6-R: Lagarias 6.1 right-tail re-proof (E-032/D-073)

#2193 assistant 2026-08-26 10:38:02.996 UTC · 563→577 tok open ⤢
thinking (245 chars)
Zero errors, zero warnings, full build GREEN (8773 jobs). Now: 1. Extend the axiom audit with DL-6 declarations. 2. E-034 re-validation at VRightBound = IIMaj/4 (revert from IIMaj/2 with the direct-route note). 3. Commit DL-6 + the DL-5 upgrade.
Clean build. Extending the audit with DL-6 declarations and re-validating E-034 at IIMaj/4.
tool: Edit ok
input
{
  "file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\AuditSession040.lean",
  "old_string": "-- DL-5\n#print axioms hIntegral_Jlag_low_le_dogLegUpper\n#print axioms hIntegral_Jlag_low_neg_norm_le_dogLegUpper\n#print axioms dogLegUpper_two_sides",
  "new_string": "-- DL-5\n#print axioms hIntegral_Jlag_low_le_dogLegUpper\n#print axioms hIntegral_Jlag_low_neg_norm_le_dogLegUpper\n#print axioms dogLegUpper_two_sides\n\n-- DL-6\n#print axioms norm_logDeriv_zeta_le_dirichletCX\n#print axioms norm_term_vonMangoldt_X_le_three_pow\n#print axioms dirichletCX_le\n#print axioms log_nine_quarters_ge\n#print axioms log_four_ninths_le\n#print axioms four_ninths_rpow_sqrt_le\n#print axioms three_pow_neg_two_sqrt_sub_two_eq\n#print axioms norm_logDeriv_zeta_le_iimZeta\n#print axioms vIntegral_Jlag_right_norm_le_quarter\n#print axioms vIntegral_Jlag_right_le_IIMaj_quarter"
}
result 2026-08-26 10:38:03Z → 2026-08-26 10:38:03Z
{
  "filePath": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\AuditSession040.lean",
  "oldString": "-- DL-5\n#print axioms hIntegral_Jlag_low_le_dogLegUpper\n#print axioms hIntegral_Jlag_low_neg_norm_le_dogLegUpper\n#print axioms dogLegUpper_two_sides",
  "newString": "-- DL-5\n#print axioms hIntegral_Jlag_low_le_dogLegUpper\n#print axioms hIntegral_Jlag_low_neg_norm_le_dogLegUpper\n#print axioms dogLegUpper_two_sides\n\n-- DL-6\n#print axioms norm_logDeriv_zeta_le_dirichletCX\n#print axioms norm_term_vonMangoldt_X_le_three_pow\n#print axioms dirichletCX_le\n#print axioms log_nine_quarters_ge\n#print axioms log_four_ninths_le\n#print axioms four_ninths_rpow_sqrt_le\n#print axioms three_pow_neg_two_sqrt_sub_two_eq\n#print axioms norm_logDeriv_zeta_le_iimZeta\n#print axioms vIntegral_Jlag_right_norm_le_quarter\n#print axioms vIntegral_Jlag_right_le_IIMaj_quarter",
  "originalFile": "/-\nAuditSession040.lean \u2014 session 040 (ii\u2032-6-DL-1) axiom audit: the dog-leg\ndeformation declarations. Expected: [propext, Classical.choice, Quot.sound]\nonly, 0 sorryAx.\n-/\nimport NguyenRH1\n\nopen NguyenRH1\n\n#print axioms Jlag_differentiableAt_dogleg\n#print axioms holomorphicOn_Jlag_dogleg\n#print axioms rectangleIntegral_Jlag_dogleg_eq_zero\n#print axioms rectangleIntegral'_Jlag_dogleg_eq_zero\n#print axioms upper_right_horizontal_eq_dogleg\n#print axioms kFun_conj\n#print axioms Jlag_conj\n\n-- DL-2\n#print axioms kFun_three_add_it_norm_le_exp_five_halves_add_one\n#print axioms norm_term_vonMangoldt_three_le_half\n#print axioms dirichletC3_le_half\n#print axioms norm_logDeriv_zeta_le_dirichletC3\n#print axioms norm_logDeriv_zeta_le_half\n#print axioms vIntegral_Jlag_three_norm_le\n\n-- DL-3\n#print axioms norm_term_vonMangoldt_le_two_pow\n#print axioms norm_logDeriv_zeta_le_two_pow\n#print axioms one_add_div_pow_norm_le_exp_four_ninths\n#print axioms Jlag_dogleg_norm_le_envelope\n#print axioms integral_exp_neg_le\n#print axioms cdog_gt\n#print axioms exp_four_thirds_le\n#print axioms hIntegral_Jlag_dogleg_norm_le\n\n-- DL-4\n#print axioms kFun_right_vertical_norm_le_exp_sqrt_half_add_one\n#print axioms vIntegral_Jlag_right_norm_le\n\n-- DL-5\n#print axioms hIntegral_Jlag_low_le_dogLegUpper\n#print axioms hIntegral_Jlag_low_neg_norm_le_dogLegUpper\n#print axioms dogLegUpper_two_sides\n",
  "structuredPatch": [
    {
      "oldStart": 42,
      "oldLines": 3,
      "newStart": 42,
      "newLines": 15,
      "lines": [
        " #print axioms hIntegral_Jlag_low_neg_norm_le_dogLegUpper",
        " #print axioms dogLegUpper_two_sides",
        " ",
        "+-- DL-6",
        "+#print axioms norm_logDeriv_zeta_le_dirichletCX",
        "+#print axioms norm_term_vonMangoldt_X_le_three_pow",
        "+#print axioms dirichletCX_le",
        "+#print axioms log_nine_quarters_ge",
        "+#print axioms log_four_ninths_le",
        "+#print axioms four_ninths_rpow_sqrt_le",
        "+#print axioms three_pow_neg_two_sqrt_sub_two_eq",
        "+#print axioms norm_logDeriv_zeta_le_iimZeta",
        "+#print axioms vIntegral_Jlag_right_norm_le_quarter",
        "+#print axioms vIntegral_Jlag_right_le_IIMaj_quarter",
        "+"
      ]
    }
  ],
  "userModified": false,
  "replaceAll": false
}
tool: Bash ok
input
{
  "command": "cd D:/Python/Quantum/research/lean/NguyenRH1 && export PATH=\"$HOME/.elan/bin:$PATH\" && lake env lean AuditSession040.lean > audit-session040-axioms.txt 2>&1; grep -c \"propext, Classical.choice, Quot.sound\" audit-session040-axioms.txt; grep -v \"propext, Classical.choice, Quot.sound\" audit-session040-axioms.txt | head -4",
  "description": "Run the DL-6 axiom audit",
  "timeout": 300000
}
result 2026-08-26 10:38:03Z → 2026-08-26 10:38:27Z
36
raw content_json (database row)
[{"type":"thinking","thinking":"Zero errors, zero warnings, full build GREEN (8773 jobs). Now:\n1. Extend the axiom audit with DL-6 declarations.\n2. E-034 re-validation at VRightBound = IIMaj/4 (revert from IIMaj/2 with the direct-route note).\n3. Commit DL-6 + the DL-5 upgrade.","signature":""},{"type":"text","text":"Clean build. Extending the audit with DL-6 declarations and re-validating E-034 at IIMaj/4."},{"type":"tool_use","id":"Edit_521","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\AuditSession040.lean","old_string":"-- DL-5\n#print axioms hIntegral_Jlag_low_le_dogLegUpper\n#print axioms hIntegral_Jlag_low_neg_norm_le_dogLegUpper\n#print axioms dogLegUpper_two_sides","new_string":"-- DL-5\n#print axioms hIntegral_Jlag_low_le_dogLegUpper\n#print axioms hIntegral_Jlag_low_neg_norm_le_dogLegUpper\n#print axioms dogLegUpper_two_sides\n\n-- DL-6\n#print axioms norm_logDeriv_zeta_le_dirichletCX\n#print axioms norm_term_vonMangoldt_X_le_three_pow\n#print axioms dirichletCX_le\n#print axioms log_nine_quarters_ge\n#print axioms log_four_ninths_le\n#print axioms four_ninths_rpow_sqrt_le\n#print axioms three_pow_neg_two_sqrt_sub_two_eq\n#print axioms norm_logDeriv_zeta_le_iimZeta\n#print axioms vIntegral_Jlag_right_norm_le_quarter\n#print axioms vIntegral_Jlag_right_le_IIMaj_quarter"},"extra_content":null},{"type":"tool_use","id":"Bash_522","name":"Bash","input":{"command":"cd D:/Python/Quantum/research/lean/NguyenRH1 && export PATH=\"$HOME/.elan/bin:$PATH\" && lake env lean AuditSession040.lean > audit-session040-axioms.txt 2>&1; grep -c \"propext, Classical.choice, Quot.sound\" audit-session040-axioms.txt; grep -v \"propext, Classical.choice, Quot.sound\" audit-session040-axioms.txt | head -4","description":"Run the DL-6 axiom audit","timeout":300000},"extra_content":null}]