Current task: —

← Session 35 — ii′-6-R: Lagarias 6.1 right-tail re-proof (E-032/D-073)

#2170 assistant 2026-08-26 08:54:12.238 UTC · 429→500 tok open ⤢
thinking (395 chars)
Zero errors — DL-5 compiles. Now: full build + audit extension + commit DL-5. Also, the E-034 fold's VLeftBound matches the Lean form ✓, HHigh = 8.38 ✓, VRightBound = IIMaj/2 ✓ — DogLegUpper(n) = ((√n+1)/2)·(e^{5/2}+1)/2 + 8.38 + IIMaj/2 — matches E-034's DogLegRight = VLeftBound + HHIGH + VRightBound ✓ (VLeftBound = ((√n+1)/2)·(e^{5/2}+1)·0.5 = ((√n+1)/2)·(e^{5/2}+1)/2 ✓ same). Consistent ✓.
Zero errors — DL-5 compiles. Building, auditing, and committing.
tool: Bash
input
{
  "command": "cd D:/Python/Quantum/research/lean/NguyenRH1 && export PATH=\"$HOME/.elan/bin:$PATH\" && lake build NguyenRH1 2>&1 | tail -2",
  "description": "Full root build with DL-5",
  "timeout": 600000
}
tool: Edit
input
{
  "file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\AuditSession040.lean",
  "old_string": "-- DL-4\n#print axioms kFun_right_vertical_norm_le_exp_sqrt_half_add_one\n#print axioms vIntegral_Jlag_right_norm_le",
  "new_string": "-- DL-4\n#print axioms kFun_right_vertical_norm_le_exp_sqrt_half_add_one\n#print axioms vIntegral_Jlag_right_norm_le\n\n-- DL-5\n#print axioms hIntegral_Jlag_low_le_dogLegUpper\n#print axioms hIntegral_Jlag_low_neg_norm_le_dogLegUpper\n#print axioms dogLegUpper_two_sides"
}
raw content_json (database row)
[{"type":"thinking","thinking":"Zero errors — DL-5 compiles. Now: full build + audit extension + commit DL-5. Also, the E-034 fold's VLeftBound matches the Lean form ✓, HHigh = 8.38 ✓, VRightBound = IIMaj/2 ✓ — DogLegUpper(n) = ((√n+1)/2)·(e^{5/2}+1)/2 + 8.38 + IIMaj/2 — matches E-034's DogLegRight = VLeftBound + HHIGH + VRightBound ✓ (VLeftBound = ((√n+1)/2)·(e^{5/2}+1)·0.5 = ((√n+1)/2)·(e^{5/2}+1)/2 ✓ same). Consistent ✓.","signature":""},{"type":"text","text":"Zero errors — DL-5 compiles. Building, auditing, and committing."},{"type":"tool_use","id":"Bash_410","name":"Bash","input":{"command":"cd D:/Python/Quantum/research/lean/NguyenRH1 && export PATH=\"$HOME/.elan/bin:$PATH\" && lake build NguyenRH1 2>&1 | tail -2","description":"Full root build with DL-5","timeout":600000},"extra_content":null},{"type":"tool_use","id":"Edit_411","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\AuditSession040.lean","old_string":"-- DL-4\n#print axioms kFun_right_vertical_norm_le_exp_sqrt_half_add_one\n#print axioms vIntegral_Jlag_right_norm_le","new_string":"-- DL-4\n#print axioms kFun_right_vertical_norm_le_exp_sqrt_half_add_one\n#print axioms vIntegral_Jlag_right_norm_le\n\n-- DL-5\n#print axioms hIntegral_Jlag_low_le_dogLegUpper\n#print axioms hIntegral_Jlag_low_neg_norm_le_dogLegUpper\n#print axioms dogLegUpper_two_sides"},"extra_content":null}]