← Session 35 — ii′-6-R: Lagarias 6.1 right-tail re-proof (E-032/D-073)
thinking (925 chars)
Zero errors — LiSkeleton compiles with the dog-leg Bn redefinition + convexity re-proof. Now ii′-6-a2-ii: the LiBasePoints re-certification at the new Bn.
Let me check what breaks in LiBasePoints (the Bn evaluations Bn_FAlt_*_le/ge reference the OLD Bn's T and constants — but wait, the OLD Bn and the new dog-leg Bn have the SAME T = √n+1 ✓ and the horizontal share changed from 2(e⁴+1)(7Ĥ+3.3) to 2(e⁴+1)(7Ĥ) + 2·DogLegRight. The Bn evaluation proofs (Bn_FAlt_80000_le etc.) unfold Bn and bound each piece — the horizontal piece bound `2·(e⁴+1)·(7·Ĥ+3.3)` → now `2·(e⁴+1)·(7·Ĥ) + 2·DogLegRight`. The old proofs' assembly (hterm4 for the horizontal) will break (the form changed). Let me check what breaks and rebuild.
Also the marginTilde_eq_sub (marginTilde F n = sInftyLower n − Bn F n + 1) — should still hold definitionally ✓ (both changed consistently ✓ compiled ✓).
Let me build LiBasePoints to see the damage.
LiSkeleton green with the new Bn + convexity. Now checking LiBasePoints damage.
tool: Bash ok
input
{
"command": "cd D:/Python/Quantum/research/lean/NguyenRH1 && export PATH=\"$HOME/.elan/bin:$PATH\" && lake env lean NguyenRH1/LiBasePoints.lean 2>&1 | grep -E \"^NguyenRH1.*error\" | head -10",
"description": "Compile LiBasePoints to see what breaks",
"timeout": 600000
}
result 2026-08-26 12:09:49Z → 2026-08-26 12:10:13Z
{
"stdout": "",
"stderr": "",
"interrupted": false,
"isImage": false,
"returnCodeInterpretation": null,
"noOutputExpected": false,
"dangerouslyDisableSandbox": null
}
raw content_json (database row)
[{"type":"thinking","thinking":"Zero errors — LiSkeleton compiles with the dog-leg Bn redefinition + convexity re-proof. Now ii′-6-a2-ii: the LiBasePoints re-certification at the new Bn.\n\nLet me check what breaks in LiBasePoints (the Bn evaluations Bn_FAlt_*_le/ge reference the OLD Bn's T and constants — but wait, the OLD Bn and the new dog-leg Bn have the SAME T = √n+1 ✓ and the horizontal share changed from 2(e⁴+1)(7Ĥ+3.3) to 2(e⁴+1)(7Ĥ) + 2·DogLegRight. The Bn evaluation proofs (Bn_FAlt_80000_le etc.) unfold Bn and bound each piece — the horizontal piece bound `2·(e⁴+1)·(7·Ĥ+3.3)` → now `2·(e⁴+1)·(7·Ĥ) + 2·DogLegRight`. The old proofs' assembly (hterm4 for the horizontal) will break (the form changed). Let me check what breaks and rebuild.\n\nAlso the marginTilde_eq_sub (marginTilde F n = sInftyLower n − Bn F n + 1) — should still hold definitionally ✓ (both changed consistently ✓ compiled ✓).\n\nLet me build LiBasePoints to see the damage.","signature":""},{"type":"text","text":"LiSkeleton green with the new Bn + convexity. Now checking LiBasePoints damage."},{"type":"tool_use","id":"Bash_620","name":"Bash","input":{"command":"cd D:/Python/Quantum/research/lean/NguyenRH1 && export PATH=\"$HOME/.elan/bin:$PATH\" && lake env lean NguyenRH1/LiBasePoints.lean 2>&1 | grep -E \"^NguyenRH1.*error\" | head -10","description":"Compile LiBasePoints to see what breaks","timeout":600000},"extra_content":null}]