← Session 35 — ii′-6-R: Lagarias 6.1 right-tail re-proof (E-032/D-073)
thinking (1185 chars)
1. **Line 772: `DogLegRight` unknown** — marginTilde (at ~766) references DogLegRight but I defined DogLegRight LATER (at ~2440 with Bn). Forward reference — move DogLegRight BEFORE marginTilde (or before Bn's usage). marginTilde is at line ~766, Bn at ~2443. DogLegRight must be defined before line 766. Move it near IIMaj's def (line ~754) or before marginTilde (~766).
2. **Line 1848: unsolved goals** — marginTilde_eq_expanded's ring — the blocks vs marginTilde mismatch — because DogLegRight is unknown yet (cascade of error 1) OR the block arithmetic genuinely doesn't match. Fix error 1 first.
3. **Line 1931: Type mismatch** — contDiffOn_mIIM's `contDiffOn_const.mul hcomp` with the mIIM = (−1.5) constant? — should be constant-agnostic... — cascade probably.
4. **Lines 2272/2304: rw pattern not found** — the vId/vL1sq/etc. v-blocks in marginTilde_convex — the mIdb coefficient changed to the (199.2 + (e^{5/2}+1)/2) form and the vId's chain-rule output form changed? — or the `unfold mIdb`/`unfold mL1sqb` etc. — cascade of error 1.
5. **Line 2468: unsolved goals** — probably the final linarith cascade.
Fix error 1 (move DogLegRight before marginTilde) and recompile.
`DogLegRight` must be defined before `marginTilde` — moving it earlier.
tool: Read ok
input
{
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSkeleton.lean",
"offset": 750,
"limit": 26
}
result 2026-08-26 11:54:43Z → 2026-08-26 11:54:43Z
{
"type": "text",
"file": {
"filePath": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSkeleton.lean",
"content": " 3 * C0hat T ^ 2 + 10.5 * Real.log (T + 2) + 48\n\n/-- The I_I boundary-integral majorant (D-057 \u00a73):\nB\u0303\u2084(n) = 2(\u221an+1)\u00b7(e^{\u221an/2}+1)\u00b70.57\u00b72^{\u2212(2\u221an\u22122)}. -/\ndef IIMaj (n : \u211d) : \u211d :=\n 2 * (Real.sqrt n + 1) * (Real.exp (Real.sqrt n / 2) + 1) * 0.57 *\n 2 ^ (-(2 * Real.sqrt n - 2))\n\n/-- The margin majorant chain (D-057, corrected per D-071): margin\u0303(n) =\nS(n) \u2212 B\u0303(n) + 1 with the counting function majorized by a smooth\nfunction F. M\u2080 = 1.3352 (E-023, grid-verified \u2014 see D-060 \u00a74).\nCORRECTION (D-071, user-approved session 038): the bridge is 4F (the\nresidue sum \u03bb_n(T) runs over BOTH signs of \u03b3 \u2014 D-036/D-037's 2N(T)\nwas a factor-2 accounting slip, R-004 unaffected) and the I_III\nnear-sum uses the two-unit count (2/3)\u00b7Z2hat (D-069 Finding 2 made\nexact). See D-071 + E-030. -/\ndef marginTilde (F : \u211d \u2192 \u211d) (n : \u211d) : \u211d :=\n let T := Real.sqrt n + 1\n ((1 / 2) * n * Real.log n +\n (lagariasC1 - Real.eulerMascheroniConstant / 2) * n - 4) -\n (4 * F T + 4 * T * ((2 / 3) * Z2hat T + 10.5 * Real.log (T + 2) + 48) +\n 40 * 1.3352 + 2 * (Real.exp 4 + 1) * (7 * Hhat T) +\n 2 * DogLegRight n + IIMaj n + 1) + 1\n\n/-! ### Block machinery for the `marginTilde_convex` proof (D-057 \u00a72) -/\n",
"numLines": 26,
"startLine": 750,
"totalLines": 2822
}
}
raw content_json (database row)
[{"type":"thinking","thinking":"1. **Line 772: `DogLegRight` unknown** — marginTilde (at ~766) references DogLegRight but I defined DogLegRight LATER (at ~2440 with Bn). Forward reference — move DogLegRight BEFORE marginTilde (or before Bn's usage). marginTilde is at line ~766, Bn at ~2443. DogLegRight must be defined before line 766. Move it near IIMaj's def (line ~754) or before marginTilde (~766).\n\n2. **Line 1848: unsolved goals** — marginTilde_eq_expanded's ring — the blocks vs marginTilde mismatch — because DogLegRight is unknown yet (cascade of error 1) OR the block arithmetic genuinely doesn't match. Fix error 1 first.\n\n3. **Line 1931: Type mismatch** — contDiffOn_mIIM's `contDiffOn_const.mul hcomp` with the mIIM = (−1.5) constant? — should be constant-agnostic... — cascade probably.\n\n4. **Lines 2272/2304: rw pattern not found** — the vId/vL1sq/etc. v-blocks in marginTilde_convex — the mIdb coefficient changed to the (199.2 + (e^{5/2}+1)/2) form and the vId's chain-rule output form changed? — or the `unfold mIdb`/`unfold mL1sqb` etc. — cascade of error 1.\n\n5. **Line 2468: unsolved goals** — probably the final linarith cascade.\n\nFix error 1 (move DogLegRight before marginTilde) and recompile.","signature":""},{"type":"text","text":"`DogLegRight` must be defined before `marginTilde` — moving it earlier."},{"type":"tool_use","id":"Read_600","name":"Read","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSkeleton.lean","offset":750,"limit":26},"extra_content":null}]