← Session 18 — Lean tier (ii): finite-height proof + certified base points
thinking (785 chars)
Two errors:
1. Line 305: `hlogTnn : 0 ≤ Real.log (√80000+1) := Real.log_nonneg (by linarith)` — goal of the by-block: `1 ≤ √80000 + 1` ⟺ 0 ≤ √80000 — needs sqrt_nonneg (not in linarith's atom set as 0 ≤ √80000? linarith can't derive 0 ≤ √80000 without a hypothesis). a✝ : √80000+1 < 1 — the negation. Fix: `Real.log_nonneg (by linarith [Real.sqrt_nonneg 80000])`. Same for hlogT2nn (line ~310): `Real.log_nonneg (by linarith [Real.sqrt_nonneg 80000])`.
2. Line 360: `IIMaj_le_two_mul` unknown identifier! The LiSkeleton additions — did they compile? I added IIMaj_le_two_mul and IIMaj_nonneg to LiSkeleton.lean but never recompiled LiSkeleton after adding them. lake env lean LiBasePoints.lean uses the BUILT LiSkeleton olean — which predates the additions. Rebuild LiSkeleton first.
Two issues: `Real.log_nonneg` needs sqrt_nonneg in scope, and LiSkeleton was never rebuilt with the new IIMaj lemmas. Fixing both.
tool: Edit
input
{
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiBasePoints.lean",
"old_string": " have hlogTnn : (0 : \u211d) \u2264 Real.log (Real.sqrt 80000 + 1) :=\n Real.log_nonneg (by linarith)\n have hlogT2nn : (0 : \u211d) \u2264 Real.log (Real.sqrt 80000 + 1 + 2) :=\n Real.log_nonneg (by linarith)",
"new_string": " have hlogTnn : (0 : \u211d) \u2264 Real.log (Real.sqrt 80000 + 1) :=\n Real.log_nonneg (by linarith [Real.sqrt_nonneg 80000])\n have hlogT2nn : (0 : \u211d) \u2264 Real.log (Real.sqrt 80000 + 1 + 2) :=\n Real.log_nonneg (by linarith [Real.sqrt_nonneg 80000])"
}
raw content_json (database row)
[{"type":"thinking","thinking":"Two errors:\n\n1. Line 305: `hlogTnn : 0 ≤ Real.log (√80000+1) := Real.log_nonneg (by linarith)` — goal of the by-block: `1 ≤ √80000 + 1` ⟺ 0 ≤ √80000 — needs sqrt_nonneg (not in linarith's atom set as 0 ≤ √80000? linarith can't derive 0 ≤ √80000 without a hypothesis). a✝ : √80000+1 < 1 — the negation. Fix: `Real.log_nonneg (by linarith [Real.sqrt_nonneg 80000])`. Same for hlogT2nn (line ~310): `Real.log_nonneg (by linarith [Real.sqrt_nonneg 80000])`.\n\n2. Line 360: `IIMaj_le_two_mul` unknown identifier! The LiSkeleton additions — did they compile? I added IIMaj_le_two_mul and IIMaj_nonneg to LiSkeleton.lean but never recompiled LiSkeleton after adding them. lake env lean LiBasePoints.lean uses the BUILT LiSkeleton olean — which predates the additions. Rebuild LiSkeleton first.","signature":""},{"type":"text","text":"Two issues: `Real.log_nonneg` needs sqrt_nonneg in scope, and LiSkeleton was never rebuilt with the new IIMaj lemmas. Fixing both."},{"type":"tool_use","id":"Edit_159","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiBasePoints.lean","old_string":" have hlogTnn : (0 : ℝ) ≤ Real.log (Real.sqrt 80000 + 1) :=\n Real.log_nonneg (by linarith)\n have hlogT2nn : (0 : ℝ) ≤ Real.log (Real.sqrt 80000 + 1 + 2) :=\n Real.log_nonneg (by linarith)","new_string":" have hlogTnn : (0 : ℝ) ≤ Real.log (Real.sqrt 80000 + 1) :=\n Real.log_nonneg (by linarith [Real.sqrt_nonneg 80000])\n have hlogT2nn : (0 : ℝ) ≤ Real.log (Real.sqrt 80000 + 1 + 2) :=\n Real.log_nonneg (by linarith [Real.sqrt_nonneg 80000])"},"extra_content":null}]