[{"type":"thinking","thinking":"`chain_rule_sqrt` is at line 1420 — AFTER line 1320 (IIMaj_deriv2_lt) in the file! The chain-rule lemmas were placed before the marginTilde_convex skeleton... no wait — the IIMaj_deriv2_lt at 1316 is BEFORE 1349?? The chain-rule lemmas live at 1349+ (they were inserted before the chain_rule_sqrt_shift which is in §3 after marginTilde_convex skeleton...). Right — I inserted chain_rule_sqrt_shift_on/chain_rule_sqrt before `chain_rule_sqrt_shift`, which sits AFTER the marginTilde_convex skeleton theorem in the file. And IIMaj lemmas got inserted BEFORE the marginTilde_convex skeleton. So IIMaj_deriv2_lt references chain_rule_sqrt defined later — Lean is strictly ordered.\n\nFix: move IIMaj_deriv2_lt (and possibly the whole IIMaj block) after chain_rule_sqrt. The IIMaj machinery (defs/lemmas up to iimaj_bracket_bound) doesn't depend on chain-rule — only IIMaj_deriv2_lt does. Move just IIMaj_deriv2_lt: cut it from its current spot and insert after chain_rule_sqrt (before `end NguyenRH1`).\n\nLet me do that edit: remove the IIMaj_deriv2_lt block from before the marginTilde_convex skeleton, and re-insert after chain_rule_sqrt's end.","signature":""},{"type":"text","text":"`chain_rule_sqrt` is defined later in the file — moving `IIMaj_deriv2_lt` after it."},{"type":"tool_use","id":"Edit_254","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSkeleton.lean","old_string":"/-- [PROVED session 011] IIMaj″(n) < 1/(2n) for n ≥ 20 (the analytic\nversion of D-057 §3's \"max 2n·|B̃₄″| = 0.189 < 1\"). -/\ntheorem IIMaj_deriv2_lt {n : ℝ} (hn : 20 ≤ n) :\n    deriv (deriv IIMaj) n < 1 / (2 * n) := by\n  have hn0 : (0 : ℝ) < n := by linarith\n  have hId : IIMaj = fun m => psiTilde (Real.sqrt m) :=\n    funext fun m => IIMaj_eq_psiTilde_sqrt m\n  rw [hId, chain_rule_sqrt psiTilde psiTilde_contDiff n hn0, deriv_psiTilde,\n    deriv2_psiTilde]\n  have hb := iimaj_bracket_bound (Real.sqrt_le_sqrt hn)\n  have h4n : (0 : ℝ) < 4 * n := by linarith\n  have e : (1 : ℝ) / (2 * n) = 2 / (4 * n) := by\n    field_simp [hn0.ne']\n    ring\n  rw [e]\n  have e2 : (2 : ℝ) / (4 * n) = 2 * (4 * n)⁻¹ := by rw [div_eq_mul_inv]\n  rw [e2, div_eq_mul_inv]\n  exact (mul_lt_mul_right (inv_pos.mpr h4n)).mpr hb\n\n/-- [SKELETON] Margin convexity (D-057, draft §3.1 Step 4): for any","new_string":"/-- [SKELETON] Margin convexity (D-057, draft §3.1 Step 4): for any"},"extra_content":null}]