← Session 36 — ii′-6-DL dog-leg + side bounds; Paper A review
thinking (1282 chars)
STILL `⊢ ?m.1004` at the same place (line 775:60, right after hden) — and ?m.1004 is the SAME metavariable number across runs?! That's suspicious — ?m.1004 identical across three different code versions. That means the failing point is NOT in hΣcont — it's a metavariable created EARLIER that never got assigned. Line 775:60 — let me look at what's EXACTLY at line 775 col 60 now. Line 775 in the current file — the theorem statement's `:= by` at the end of the statement!! Let me check: earlier read showed line 774-777: `‖HIntegral (Jlag n) (-5/2) 3 T‖ ≤ (Real.exp 4 + 1) * (2 * Z2hat T * Real.log (...) + (3 - -5/2) * (10.5 * Real.log (T + 2) + 48)) := by`. So 775:60 is INSIDE the statement — around `(3 - -5/2) * (10.5 * Real.log (T + 2) + 48))` — hmm col 60.
WAIT — "unsolved goals ... ⊢ ?m.1004" AT THE THEOREM STATEMENT LINE — the elaboration of the STATEMENT creates a metavariable?! The statement: `‖HIntegral (Jlag n) (-5 / 2) 3 T‖ ≤ ...` — HIntegral (Jlag n) (-5/2) 3 T — HIntegral's args: f : ℂ → E, x₁ x₂ y : ℝ — E := ℂ ✓ — hmm.
?m.1004 — a metavariable from the STATEMENT elaboration that persists into the proof and is reported at the end?? — OR — the `Real.exp 4 + 1` — no.
Hmm wait — let me count lines precisely in the CURRENT file. Let me read around 770-780.
The `?m.1004` is identical across versions — it's created earlier than I thought. Let me see exactly what's at line 775 col 60 now.
tool: Read
input
{
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSideBounds.lean",
"offset": 762,
"limit": 45
}
raw content_json (database row)
[{"type":"thinking","thinking":"STILL `⊢ ?m.1004` at the same place (line 775:60, right after hden) — and ?m.1004 is the SAME metavariable number across runs?! That's suspicious — ?m.1004 identical across three different code versions. That means the failing point is NOT in hΣcont — it's a metavariable created EARLIER that never got assigned. Line 775:60 — let me look at what's EXACTLY at line 775 col 60 now. Line 775 in the current file — the theorem statement's `:= by` at the end of the statement!! Let me check: earlier read showed line 774-777: `‖HIntegral (Jlag n) (-5/2) 3 T‖ ≤ (Real.exp 4 + 1) * (2 * Z2hat T * Real.log (...) + (3 - -5/2) * (10.5 * Real.log (T + 2) + 48)) := by`. So 775:60 is INSIDE the statement — around `(3 - -5/2) * (10.5 * Real.log (T + 2) + 48))` — hmm col 60.\n\nWAIT — \"unsolved goals ... ⊢ ?m.1004\" AT THE THEOREM STATEMENT LINE — the elaboration of the STATEMENT creates a metavariable?! The statement: `‖HIntegral (Jlag n) (-5 / 2) 3 T‖ ≤ ...` — HIntegral (Jlag n) (-5/2) 3 T — HIntegral's args: f : ℂ → E, x₁ x₂ y : ℝ — E := ℂ ✓ — hmm.\n\n?m.1004 — a metavariable from the STATEMENT elaboration that persists into the proof and is reported at the end?? — OR — the `Real.exp 4 + 1` — no.\n\nHmm wait — let me count lines precisely in the CURRENT file. Let me read around 770-780.","signature":""},{"type":"text","text":"The `?m.1004` is identical across versions — it's created earlier than I thought. Let me see exactly what's at line 775 col 60 now."},{"type":"tool_use","id":"Read_125","name":"Read","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSideBounds.lean","offset":762,"limit":45},"extra_content":null}]