← Session 3 — Project kickoff: RH blueprint, staged workflow + archive design
thinking (643 chars)
All matches explained:
- "axiom" matches in AdditiveCombination.lean lines 183-184: `axiom qc : ℚ` and `axiom hqc : qc = 2*qc` — these are in a TACTIC file. Hmm, actual axiom declarations?? That would contradict the audit claim of 0. Let me look at the context — likely inside a comment or a `section` for testing the tactic (example usage in a doc string?). Need to read the file around lines 175-195.
- Hypotheses.lean:15 match is clearly a doc/comment line ("axiom declarations anywhere in this project: ...").
- sorry matches are all in comments ("sorry'd", "no sorry enters", "sorry-free prefix").
Check AdditiveCombination.lean:175-195.
The `sorry` matches are all comments. But the two `axiom` lines in `AdditiveCombination.lean` need a closer look — let me see their context.
tool: Read ok
input
{
"file_path": "D:\\Python\\Quantum\\zeta-23-lean\\Zeta23\\FromPNTPlus\\Tactic\\AdditiveCombination.lean",
"offset": 160,
"limit": 45
}
result 2026-08-17 18:51:54Z → 2026-08-26 18:54:21Z
{
"type": "text",
"file": {
"filePath": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSideBounds.lean",
"content": " (hTwide : \u2200 \u03c1 : \u2102, IsNontrivialZero \u03c1 \u2192 Real.sqrt (n : \u211d) - 1 < \u03c1.im \u2192\n \u03c1.im < Real.sqrt (n : \u211d) + 2 \u2192\n 1 / (9 * C0hat (Real.sqrt (n : \u211d) + 2)) \u2264 |\u03c1.im - T|)\n (hTn : Real.sqrt (n : \u211d) \u2264 T) (hTn1 : T \u2264 Real.sqrt (n : \u211d) + 1) :\n \u2016HIntegral (Jlag n) (-5 / 2) 3 T\u2016 \u2264\n (Real.exp 4 + 1) *\n (2 * Z2hat T * Real.log (148.5 * C0hat (Real.sqrt (n : \u211d) + 2)) +\n (3 - -5 / 2) * (10.5 * Real.log (T + 2) + 48)) := by\n classical\n have hnR : (100000 : \u211d) \u2264 (n : \u211d) := by exact_mod_cast hn\n have h10T : (10 : \u211d) \u2264 T := by\n have h1 : (10 : \u211d) \u2264 Real.sqrt (n : \u211d) := by\n rw [Real.le_sqrt (by norm_num) (by positivity)]\n nlinarith [hnR]\n linarith\n have hT0 : (0 : \u211d) \u2264 T := by linarith\n have hn1 : 1 \u2264 n := by omega\n have hlen : (-5 / 2 : \u211d) \u2264 3 := by norm_num\n have hC0 : (0 : \u211d) < C0hat (Real.sqrt (n : \u211d) + 2) := by\n have h2 := two_le_C0hat (by nlinarith [Real.sqrt_nonneg (n : \u211d)] :\n (1 : \u211d) \u2264 Real.sqrt (n : \u211d) + 2)\n linarith\n have hB0nn : (0 : \u211d) \u2264 2 * Real.log (148.5 * C0hat (Real.sqrt (n : \u211d) + 2)) := by\n have h1 : (1 : \u211d) \u2264 148.5 * C0hat (Real.sqrt (n : \u211d) + 2) := by nlinarith [hC0]\n have h3 := Real.log_nonneg h1\n linarith\n -- zero-freeness on the horizontal + the path continuity machines\n have hzne : \u2200 \u03c3 : \u211d, riemannZeta ((\u03c3 : \u211d) + (T : \u211d) * Complex.I) \u2260 0 :=\n fun \u03c3 => zeta_ne_zero_horizontal hTwide hn1 hTn hTn1\n have hne1 : \u2200 \u03c3 : \u211d, ((\u03c3 : \u211d) + (T : \u211d) * Complex.I) \u2260 1 := by",
"numLines": 30,
"startLine": 770,
"totalLines": 1175
}
}
raw content_json (database row)
[{"type":"thinking","thinking":"All matches explained:\n- \"axiom\" matches in AdditiveCombination.lean lines 183-184: `axiom qc : ℚ` and `axiom hqc : qc = 2*qc` — these are in a TACTIC file. Hmm, actual axiom declarations?? That would contradict the audit claim of 0. Let me look at the context — likely inside a comment or a `section` for testing the tactic (example usage in a doc string?). Need to read the file around lines 175-195.\n- Hypotheses.lean:15 match is clearly a doc/comment line (\"axiom declarations anywhere in this project: ...\").\n- sorry matches are all in comments (\"sorry'd\", \"no sorry enters\", \"sorry-free prefix\").\n\nCheck AdditiveCombination.lean:175-195.","signature":""},{"type":"text","text":"The `sorry` matches are all comments. But the two `axiom` lines in `AdditiveCombination.lean` need a closer look — let me see their context."},{"type":"tool_use","id":"Read_98","name":"Read","input":{"file_path":"D:\\Python\\Quantum\\zeta-23-lean\\Zeta23\\FromPNTPlus\\Tactic\\AdditiveCombination.lean","offset":160,"limit":45},"extra_content":null}]