← Session 21 — Tier ii′ planning + launch: close SfBoundProp in Lean (D-064)
thinking (754 chars)
`intervalIntegral.integral_eq_sub_of_hasDerivAt (hderiv : ∀ x ∈ uIcc a b, HasDerivAt f (f' x) x) (hint : IntervalIntegrable f' volume a b) : ∫ y in a..b, f' y = f b - f a` — this is the right lemma (the one I was using under the wrong name `integral_deriv_eq_sub` — which is a different lemma for real functions!). Note `integral_deriv_eq_sub (hderiv : ∀ x ∈ [[a,b]], DifferentiableAt ℝ f x)` at line 1176 — that's the ABS-continuity real version. So use `integral_eq_sub_of_hasDerivAt` with explicit f/f' — the f/f' are implicit {f f'} presumably — pass explicitly: `intervalIntegral.integral_eq_sub_of_hasDerivAt (f := fun x => G (x + y * I)) (f' := fun x => deriv G (x + y * I)) hd hint`.
Let me fix both FTC applications with explicit function args.
Found it — I need `integral_eq_sub_of_hasDerivAt` (not `integral_deriv_eq_sub`) with explicit function arguments.
tool: Bash ok
input
{
"command": "cd /d/Python/Quantum/research/lean/NguyenRH1 && python - << 'PYEOF'\np = 'NguyenRH1/LiPrincipal.lean'\ns = open(p, encoding='utf-8').read()\n\ns = s.replace(\"\"\" have hftc := intervalIntegral.integral_deriv_eq_sub hd hint\n convert hftc using 1\n \u00b7 simp\n \u00b7 simp\"\"\",\n\"\"\" have hftc := intervalIntegral.integral_eq_sub_of_hasDerivAt\n (f := fun x => G (x + y * I)) (f' := fun x => deriv G (x + y * I)) hd hint\n convert hftc using 1\n \u00b7 simp\n \u00b7 simp\"\"\")\n\ns = s.replace(\"\"\" have hftc := intervalIntegral.integral_deriv_eq_sub hd hint\n rw [\u2190 hftc, integral_smul]\n field_simp [Complex.I_ne_zero]\"\"\",\n\"\"\" have hftc := intervalIntegral.integral_eq_sub_of_hasDerivAt\n (f := fun y => G (x + y * I)) (f' := fun y => I * deriv G (x + y * I)) hd hint\n rw [\u2190 hftc, integral_smul]\n field_simp [Complex.I_ne_zero]\"\"\")\n\nopen(p, 'w', encoding='utf-8').write(s)\nprint(\"patched\")\nPYEOF\nexport PATH=\"$HOME/.elan/bin:$PATH\" && lake env lean NguyenRH1/LiPrincipal.lean 2>&1 | head -40",
"description": "Use correct FTC lemma with explicit args",
"timeout": 420000
}
result 2026-08-21 21:43:04Z → 2026-08-24 20:43:37Z
done NguyenRH1/LiTightR.lean:3593:36: error: unexpected token '/--'; expected ':=' NguyenRH1/LiTightR.lean:3592:2: error: invalid 'calc' step, relation expected ?m.236 NguyenRH1/LiTightR.lean:3570:46: error: unsolved goals case neg t : ℝ ht : 10 ≤ t k : ℕ hk : ¬⌊t⌋₊ + 1 ≤ k ⊢ farGRightMaj t k ≤ farGRightMajCombo k NguyenRH1/LiTightR.lean:3674:35: error: unsolved goals t : ℝ ht : 10 ≤ t hsplit : ∑' (k : ℕ), farGRightMaj t k = ∑ k ∈ Finset.range 11, farGRightMaj t k + ∑' (k : ℕ), farGRightMaj t (k + 11) k : ℕ hk : k < 11 ⊢ 10 ≤ t NguyenRH1/LiTightR.lean:3678:5: error: (deterministic) timeout at `whnf`, maximum number of heartbeats (200000) has been reached Note: Use `set_option maxHeartbeats <num>` to set the limit.
raw content_json (database row)
[{"type":"thinking","thinking":"`intervalIntegral.integral_eq_sub_of_hasDerivAt (hderiv : ∀ x ∈ uIcc a b, HasDerivAt f (f' x) x) (hint : IntervalIntegrable f' volume a b) : ∫ y in a..b, f' y = f b - f a` — this is the right lemma (the one I was using under the wrong name `integral_deriv_eq_sub` — which is a different lemma for real functions!). Note `integral_deriv_eq_sub (hderiv : ∀ x ∈ [[a,b]], DifferentiableAt ℝ f x)` at line 1176 — that's the ABS-continuity real version. So use `integral_eq_sub_of_hasDerivAt` with explicit f/f' — the f/f' are implicit {f f'} presumably — pass explicitly: `intervalIntegral.integral_eq_sub_of_hasDerivAt (f := fun x => G (x + y * I)) (f' := fun x => deriv G (x + y * I)) hd hint`.\n\nLet me fix both FTC applications with explicit function args.","signature":""},{"type":"text","text":"Found it — I need `integral_eq_sub_of_hasDerivAt` (not `integral_deriv_eq_sub`) with explicit function arguments."},{"type":"tool_use","id":"Bash_239","name":"Bash","input":{"command":"cd /d/Python/Quantum/research/lean/NguyenRH1 && python - << 'PYEOF'\np = 'NguyenRH1/LiPrincipal.lean'\ns = open(p, encoding='utf-8').read()\n\ns = s.replace(\"\"\" have hftc := intervalIntegral.integral_deriv_eq_sub hd hint\n convert hftc using 1\n · simp\n · simp\"\"\",\n\"\"\" have hftc := intervalIntegral.integral_eq_sub_of_hasDerivAt\n (f := fun x => G (x + y * I)) (f' := fun x => deriv G (x + y * I)) hd hint\n convert hftc using 1\n · simp\n · simp\"\"\")\n\ns = s.replace(\"\"\" have hftc := intervalIntegral.integral_deriv_eq_sub hd hint\n rw [← hftc, integral_smul]\n field_simp [Complex.I_ne_zero]\"\"\",\n\"\"\" have hftc := intervalIntegral.integral_eq_sub_of_hasDerivAt\n (f := fun y => G (x + y * I)) (f' := fun y => I * deriv G (x + y * I)) hd hint\n rw [← hftc, integral_smul]\n field_simp [Complex.I_ne_zero]\"\"\")\n\nopen(p, 'w', encoding='utf-8').write(s)\nprint(\"patched\")\nPYEOF\nexport PATH=\"$HOME/.elan/bin:$PATH\" && lake env lean NguyenRH1/LiPrincipal.lean 2>&1 | head -40","description":"Use correct FTC lemma with explicit args","timeout":420000},"extra_content":null}]