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

#2207 assistant 2026-08-26 11:36:04.435 UTC · 345→696 tok open ⤢
thinking (886 chars)
Still timeouts — and note: the lt_three's timeout says "maximum number of heartbeats (200000)" even though I set 1600000 on that theorem — meaning the timeout is NOT in lt_three's theorem (which got 1.6M) — the 2166:0 error at 200000 is somewhere else (a different declaration without the bump). Hmm — 2166:0 is right after the lt_three theorem (the doc comment of marginTilde_convex at 2165-2174). So the whnf timeout at 200000 is in marginTilde_convex's elaboration (which has no bump). And 2191:2 «tactic execution» at 200000 — marginTilde_convex's intro. So the loop is in marginTilde_convex — NOT lt_three. The final linarith with hbridge+hIIM+hnn1..9 or the hbridge's rw. Let me bump marginTilde_convex to 800000 and see if it clears (the convexity proof is huge — ~200 lines — and the final linarith with the big v-block forms might just be expensive after my hbridge addition).
The loop is in `marginTilde_convex` (no heartbeat bump there). Adding one and rebuilding.
tool: Edit
input
{
  "file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSkeleton.lean",
  "old_string": "theorem marginTilde_convex (F : \u211d \u2192 \u211d) (hF : ContDiffOn \u211d 2 F (Set.Ioi 1))\n    (h\u03c8 : \u2200 T : \u211d, Real.sqrt 20 + 1 \u2264 T \u2192\n      deriv (deriv F) T - deriv F T / (T - 1) < 0) :\n    ConvexOn \u211d (Set.Ici 20) (marginTilde F) := by",
  "new_string": "set_option maxHeartbeats 800000 in\ntheorem marginTilde_convex (F : \u211d \u2192 \u211d) (hF : ContDiffOn \u211d 2 F (Set.Ioi 1))\n    (h\u03c8 : \u2200 T : \u211d, Real.sqrt 20 + 1 \u2264 T \u2192\n      deriv (deriv F) T - deriv F T / (T - 1) < 0) :\n    ConvexOn \u211d (Set.Ici 20) (marginTilde F) := by"
}
tool: Bash ok
input
{
  "command": "cd D:/Python/Quantum/research/lean/NguyenRH1 && export PATH=\"$HOME/.elan/bin:$PATH\" && lake env lean NguyenRH1/LiSkeleton.lean 2>&1 | grep -cE \"error|warning\"; echo \"EXIT: $?\"",
  "description": "Rebuild with marginTilde_convex heartbeat bump",
  "timeout": 600000
}
result 2026-08-26 11:36:04Z → 2026-08-26 11:36:48Z
1
EXIT: 0
raw content_json (database row)
[{"type":"thinking","thinking":"Still timeouts — and note: the lt_three's timeout says \"maximum number of heartbeats (200000)\" even though I set 1600000 on that theorem — meaning the timeout is NOT in lt_three's theorem (which got 1.6M) — the 2166:0 error at 200000 is somewhere else (a different declaration without the bump). Hmm — 2166:0 is right after the lt_three theorem (the doc comment of marginTilde_convex at 2165-2174). So the whnf timeout at 200000 is in marginTilde_convex's elaboration (which has no bump). And 2191:2 «tactic execution» at 200000 — marginTilde_convex's intro.\n\nSo the loop is in marginTilde_convex — NOT lt_three. The final linarith with hbridge+hIIM+hnn1..9 or the hbridge's rw. Let me bump marginTilde_convex to 800000 and see if it clears (the convexity proof is huge — ~200 lines — and the final linarith with the big v-block forms might just be expensive after my hbridge addition).","signature":""},{"type":"text","text":"The loop is in `marginTilde_convex` (no heartbeat bump there). Adding one and rebuilding."},{"type":"tool_use","id":"Edit_582","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSkeleton.lean","old_string":"theorem marginTilde_convex (F : ℝ → ℝ) (hF : ContDiffOn ℝ 2 F (Set.Ioi 1))\n    (hψ : ∀ T : ℝ, Real.sqrt 20 + 1 ≤ T →\n      deriv (deriv F) T - deriv F T / (T - 1) < 0) :\n    ConvexOn ℝ (Set.Ici 20) (marginTilde F) := by","new_string":"set_option maxHeartbeats 800000 in\ntheorem marginTilde_convex (F : ℝ → ℝ) (hF : ContDiffOn ℝ 2 F (Set.Ioi 1))\n    (hψ : ∀ T : ℝ, Real.sqrt 20 + 1 ≤ T →\n      deriv (deriv F) T - deriv F T / (T - 1) < 0) :\n    ConvexOn ℝ (Set.Ici 20) (marginTilde F) := by"},"extra_content":null},{"type":"tool_use","id":"Bash_583","name":"Bash","input":{"command":"cd D:/Python/Quantum/research/lean/NguyenRH1 && export PATH=\"$HOME/.elan/bin:$PATH\" && lake env lean NguyenRH1/LiSkeleton.lean 2>&1 | grep -cE \"error|warning\"; echo \"EXIT: $?\"","description":"Rebuild with marginTilde_convex heartbeat bump","timeout":600000},"extra_content":null}]