← Session 17 — Lean tier (i): elementary proofs (after crash)
thinking (712 chars)
Only the whnf timeout at 1130:0 remains — at the theorem iimaj_bracket_bound header/final elaboration. All tactic-level errors are gone; the final proof-term elaboration (or the calc type-checking) times out at whnf. This is the set-variables issue: final unification unfolds let-chains.
Mitigation options:
1. `set_option maxHeartbeats 400000 in` before the theorem — pragmatic but slow.
2. Replace `set` with plain `have` abbreviations to avoid let-var whnf chains... Actually the issue might specifically be the FINAL `calc` at the end of the proof (hchain etc.) with the let-vars.
Try bumping heartbeats first — if it passes in reasonable time, fine (build-time only). 400000 (2×). If still timing, 800000.
All tactic errors cleared; only a whnf timeout at final elaboration (the `set` let-chains). Bumping heartbeats for this theorem.
tool: Edit
input
{
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSkeleton.lean",
"old_string": "/-- [PROVED session 011] The B\u0303\u2084 bracket bound (D-057 \u00a73): for s \u2265 \u221a20,\n\u03c8\u0303\u2033(s) \u2212 \u03c8\u0303\u2032(s)/s < 2. Factor-monotone argument: the bound splits as\n4.56\u00b7[(s+1)/s]\u00b7[(b\u00b2s+b)e^{\u2212as}]\u00b7[1+e^{\u2212s/2}], three positive decreasing\nfactors; at s = \u221a20 the product is \u2264 1.316 < 2. -/\ntheorem iimaj_bracket_bound {s : \u211d} (hs : Real.sqrt 20 \u2264 s) :",
"new_string": "/-- [PROVED session 011] The B\u0303\u2084 bracket bound (D-057 \u00a73): for s \u2265 \u221a20,\n\u03c8\u0303\u2033(s) \u2212 \u03c8\u0303\u2032(s)/s < 2. Factor-monotone argument: the bound splits as\n4.56\u00b7[(s+1)/s]\u00b7[(b\u00b2s+b)e^{\u2212as}]\u00b7[1+e^{\u2212s/2}], three positive decreasing\nfactors; at s = \u221a20 the product is \u2264 1.316 < 2. -/\nset_option maxHeartbeats 800000 in\ntheorem iimaj_bracket_bound {s : \u211d} (hs : Real.sqrt 20 \u2264 s) :"
}
raw content_json (database row)
[{"type":"thinking","thinking":"Only the whnf timeout at 1130:0 remains — at the theorem iimaj_bracket_bound header/final elaboration. All tactic-level errors are gone; the final proof-term elaboration (or the calc type-checking) times out at whnf. This is the set-variables issue: final unification unfolds let-chains.\n\nMitigation options:\n1. `set_option maxHeartbeats 400000 in` before the theorem — pragmatic but slow.\n2. Replace `set` with plain `have` abbreviations to avoid let-var whnf chains... Actually the issue might specifically be the FINAL `calc` at the end of the proof (hchain etc.) with the let-vars.\n\nTry bumping heartbeats first — if it passes in reasonable time, fine (build-time only). 400000 (2×). If still timing, 800000.","signature":""},{"type":"text","text":"All tactic errors cleared; only a whnf timeout at final elaboration (the `set` let-chains). Bumping heartbeats for this theorem."},{"type":"tool_use","id":"Edit_244","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSkeleton.lean","old_string":"/-- [PROVED session 011] The B̃₄ bracket bound (D-057 §3): for s ≥ √20,\nψ̃″(s) − ψ̃′(s)/s < 2. Factor-monotone argument: the bound splits as\n4.56·[(s+1)/s]·[(b²s+b)e^{−as}]·[1+e^{−s/2}], three positive decreasing\nfactors; at s = √20 the product is ≤ 1.316 < 2. -/\ntheorem iimaj_bracket_bound {s : ℝ} (hs : Real.sqrt 20 ≤ s) :","new_string":"/-- [PROVED session 011] The B̃₄ bracket bound (D-057 §3): for s ≥ √20,\nψ̃″(s) − ψ̃′(s)/s < 2. Factor-monotone argument: the bound splits as\n4.56·[(s+1)/s]·[(b²s+b)e^{−as}]·[1+e^{−s/2}], three positive decreasing\nfactors; at s = √20 the product is ≤ 1.316 < 2. -/\nset_option maxHeartbeats 800000 in\ntheorem iimaj_bracket_bound {s : ℝ} (hs : Real.sqrt 20 ≤ s) :"},"extra_content":null}]