← Session 33 — ii′-3b/3c crux + F-D finding; Lagarias letter package
thinking (1208 chars)
`marginTilde_eq_expanded` (the simp only + ring bookkeeping) failed — the two sides differ. The issue: `marginTilde` now has `(2 / 3) * Z2hat T` but the `simp only` unfolds `Z2hat`? The simp only list has `C0hat` but NOT `Z2hat` — so the LHS has Z2hat-terms and the RHS (marginExpanded with the updated blocks) has the unfolded log/loglog forms. Fix: add `Z2hat` to the simp only list in marginTilde_eq_expanded.
The mismatch shows: LHS has `√n * Z2hat (1 + √n) * (-8 / 3)` and `Z2hat (1 + √n) * (-8 / 3)` unexpanded, while RHS has the expanded forms. Also the constants differ (−320307/250 vs −322107/250 — the mIdb 2.7 vs... wait LHS −320307/250 vs RHS −322107/250: difference 7200/250 = 28.8 = 4T·(2/3)·(2.9−2.7)·... hmm no — the I_III constant: LHS (marginTilde with Z2hat) vs RHS (marginExpanded with mIdb 2.7): the mK has the OLD constant? mK = −40·1.3352 − 2(e⁴+1)(7(3·2.9²+48)+3.3) − 1 + 1 — the 3·2.9² is Hhat's constant — Hhat unchanged (still C0hat) ✓. Hmm the constant mismatch −320307/250 vs −322107/250: 322107−320307 = 1800; 1800/250 = 7.2 = (8/3)·2.7? (8/3)·2.7 = 7.2 ✓ — so LHS's constant includes −(8/3)·2.7-fold... whatever — the point is Z2hat isn't unfolded. Add Z2hat to the simp only.
`marginTilde_eq_expanded` just needs `Z2hat` added to the unfold list.
tool: Edit
input
{
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSkeleton.lean",
"old_string": "theorem marginTilde_eq_expanded (F : \u211d \u2192 \u211d) :\n marginTilde F = marginExpanded F := by\n funext n\n simp only [marginTilde, marginExpanded, mFblock, mTL1b, mTL2b, mIdb, mL1sqb,\n mL1L2b, mL2sqb, mL1b, mL2b, mIIM, mK, Hhat, C0hat]\n ring",
"new_string": "theorem marginTilde_eq_expanded (F : \u211d \u2192 \u211d) :\n marginTilde F = marginExpanded F := by\n funext n\n simp only [marginTilde, marginExpanded, mFblock, mTL1b, mTL2b, mIdb, mL1sqb,\n mL1L2b, mL2sqb, mL1b, mL2b, mIIM, mK, Hhat, C0hat, Z2hat]\n ring"
}
raw content_json (database row)
[{"type":"thinking","thinking":"`marginTilde_eq_expanded` (the simp only + ring bookkeeping) failed — the two sides differ. The issue: `marginTilde` now has `(2 / 3) * Z2hat T` but the `simp only` unfolds `Z2hat`? The simp only list has `C0hat` but NOT `Z2hat` — so the LHS has Z2hat-terms and the RHS (marginExpanded with the updated blocks) has the unfolded log/loglog forms. Fix: add `Z2hat` to the simp only list in marginTilde_eq_expanded.\n\nThe mismatch shows: LHS has `√n * Z2hat (1 + √n) * (-8 / 3)` and `Z2hat (1 + √n) * (-8 / 3)` unexpanded, while RHS has the expanded forms. Also the constants differ (−320307/250 vs −322107/250 — the mIdb 2.7 vs... wait LHS −320307/250 vs RHS −322107/250: difference 7200/250 = 28.8 = 4T·(2/3)·(2.9−2.7)·... hmm no — the I_III constant: LHS (marginTilde with Z2hat) vs RHS (marginExpanded with mIdb 2.7): the mK has the OLD constant? mK = −40·1.3352 − 2(e⁴+1)(7(3·2.9²+48)+3.3) − 1 + 1 — the 3·2.9² is Hhat's constant — Hhat unchanged (still C0hat) ✓. Hmm the constant mismatch −320307/250 vs −322107/250: 322107−320307 = 1800; 1800/250 = 7.2 = (8/3)·2.7? (8/3)·2.7 = 7.2 ✓ — so LHS's constant includes −(8/3)·2.7-fold... whatever — the point is Z2hat isn't unfolded. Add Z2hat to the simp only.","signature":""},{"type":"text","text":"`marginTilde_eq_expanded` just needs `Z2hat` added to the unfold list."},{"type":"tool_use","id":"Edit_207","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSkeleton.lean","old_string":"theorem marginTilde_eq_expanded (F : ℝ → ℝ) :\n marginTilde F = marginExpanded F := by\n funext n\n simp only [marginTilde, marginExpanded, mFblock, mTL1b, mTL2b, mIdb, mL1sqb,\n mL1L2b, mL2sqb, mL1b, mL2b, mIIM, mK, Hhat, C0hat]\n ring","new_string":"theorem marginTilde_eq_expanded (F : ℝ → ℝ) :\n marginTilde F = marginExpanded F := by\n funext n\n simp only [marginTilde, marginExpanded, mFblock, mTL1b, mTL2b, mIdb, mL1sqb,\n mL1L2b, mL2sqb, mL1b, mL2b, mIIM, mK, Hhat, C0hat, Z2hat]\n ring"},"extra_content":null}]