← Session 18 — Lean tier (ii): finite-height proof + certified base points
thinking (575 chars)
The ENTIRE LiBasePoints.lean compiles clean — zero errors, zero warnings. That includes:
- Bn_FAlt_80000_le, Bn_FAlt_80000_ge, Bn_FAlt_100000_le
- marginTilde_FAlt_80000_pos (hbase)
- marginTilde_FAlt_80000_lt_100000 (hbase2)
- lambda_pos_finite_height_verified (3 hypotheses!)
Now:
1. Register LiBasePoints in the root NguyenRH1.lean + update root header.
2. lake build full.
3. PrintAxioms additions + run audit.
4. Commit (crash-safe).
5. Paper reconciliation (margin trail + five→three hypotheses paragraph).
6. D-062/STATE/journal/NGUYEN.md updates + db + final commit.
**The entire file compiles clean** — hbase and hbase2 are discharged. Registering the module in the library root and auditing.
tool: Edit
input
{
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1.lean",
"old_string": "Contents:\n NguyenRH1.LiSkeleton \u2014 R-004 finite-height Li theorem + the\n archimedean lower bound (draft \u00a73.1)\n NguyenRH1.SuzukiSkeleton \u2014 R-003 exact factorization (draft \u00a73.2)\n NguyenRH1.ValleySkeleton \u2014 valley law statements (draft \u00a73.3)\n-/\nimport NguyenRH1.LiSkeleton\nimport NguyenRH1.SuzukiSkeleton\nimport NguyenRH1.ValleySkeleton",
"new_string": "Contents:\n NguyenRH1.LiSkeleton \u2014 R-004 finite-height Li theorem + the\n archimedean lower bound (draft \u00a73.1);\n assembly proved modulo SfBoundProp\n NguyenRH1.LiBasePoints \u2014 tier (ii) step 2: certified interval-bound\n discharge of the two margin evaluations;\n lambda_pos_finite_height_verified (perimeter\n + SfBoundProp only)\n NguyenRH1.SuzukiSkeleton \u2014 R-003 exact factorization (draft \u00a73.2)\n NguyenRH1.ValleySkeleton \u2014 valley law statements (draft \u00a73.3)\n-/\nimport NguyenRH1.LiSkeleton\nimport NguyenRH1.LiBasePoints\nimport NguyenRH1.SuzukiSkeleton\nimport NguyenRH1.ValleySkeleton"
}
tool: Edit
input
{
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\PrintAxioms.lean",
"old_string": "-- session 012 (tier (ii) step 1: assembly modulo SfBoundProp)\n#print axioms marginTilde_eq_sub\n#print axioms psiOf_T_mul_log_neg\n#print axioms psiOf_log_neg\n#print axioms psiOf_log_log_neg\n#print axioms contDiffOn_FAlt\n#print axioms FAlt_psi_neg\n#print axioms pos_of_convex_of_base\n#print axioms pos_of_convex_of_two_points",
"new_string": "-- session 012 (tier (ii) step 1: assembly modulo SfBoundProp)\n#print axioms marginTilde_eq_sub\n#print axioms psiOf_T_mul_log_neg\n#print axioms psiOf_log_neg\n#print axioms psiOf_log_log_neg\n#print axioms contDiffOn_FAlt\n#print axioms FAlt_psi_neg\n#print axioms pos_of_convex_of_base\n#print axioms pos_of_convex_of_two_points\n\n-- session 012 (tier (ii) step 2: base-point discharge + final form)\n#print axioms marginTilde_FAlt_80000_pos\n#print axioms marginTilde_FAlt_80000_lt_100000\n#print axioms lambda_pos_finite_height_verified"
}
raw content_json (database row)
[{"type":"thinking","thinking":"The ENTIRE LiBasePoints.lean compiles clean — zero errors, zero warnings. That includes:\n- Bn_FAlt_80000_le, Bn_FAlt_80000_ge, Bn_FAlt_100000_le\n- marginTilde_FAlt_80000_pos (hbase)\n- marginTilde_FAlt_80000_lt_100000 (hbase2)\n- lambda_pos_finite_height_verified (3 hypotheses!)\n\nNow:\n1. Register LiBasePoints in the root NguyenRH1.lean + update root header.\n2. lake build full.\n3. PrintAxioms additions + run audit.\n4. Commit (crash-safe).\n5. Paper reconciliation (margin trail + five→three hypotheses paragraph).\n6. D-062/STATE/journal/NGUYEN.md updates + db + final commit.","signature":""},{"type":"text","text":"**The entire file compiles clean** — hbase and hbase2 are discharged. Registering the module in the library root and auditing."},{"type":"tool_use","id":"Edit_170","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1.lean","old_string":"Contents:\n NguyenRH1.LiSkeleton — R-004 finite-height Li theorem + the\n archimedean lower bound (draft §3.1)\n NguyenRH1.SuzukiSkeleton — R-003 exact factorization (draft §3.2)\n NguyenRH1.ValleySkeleton — valley law statements (draft §3.3)\n-/\nimport NguyenRH1.LiSkeleton\nimport NguyenRH1.SuzukiSkeleton\nimport NguyenRH1.ValleySkeleton","new_string":"Contents:\n NguyenRH1.LiSkeleton — R-004 finite-height Li theorem + the\n archimedean lower bound (draft §3.1);\n assembly proved modulo SfBoundProp\n NguyenRH1.LiBasePoints — tier (ii) step 2: certified interval-bound\n discharge of the two margin evaluations;\n lambda_pos_finite_height_verified (perimeter\n + SfBoundProp only)\n NguyenRH1.SuzukiSkeleton — R-003 exact factorization (draft §3.2)\n NguyenRH1.ValleySkeleton — valley law statements (draft §3.3)\n-/\nimport NguyenRH1.LiSkeleton\nimport NguyenRH1.LiBasePoints\nimport NguyenRH1.SuzukiSkeleton\nimport NguyenRH1.ValleySkeleton"},"extra_content":null},{"type":"tool_use","id":"Edit_171","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\PrintAxioms.lean","old_string":"-- session 012 (tier (ii) step 1: assembly modulo SfBoundProp)\n#print axioms marginTilde_eq_sub\n#print axioms psiOf_T_mul_log_neg\n#print axioms psiOf_log_neg\n#print axioms psiOf_log_log_neg\n#print axioms contDiffOn_FAlt\n#print axioms FAlt_psi_neg\n#print axioms pos_of_convex_of_base\n#print axioms pos_of_convex_of_two_points","new_string":"-- session 012 (tier (ii) step 1: assembly modulo SfBoundProp)\n#print axioms marginTilde_eq_sub\n#print axioms psiOf_T_mul_log_neg\n#print axioms psiOf_log_neg\n#print axioms psiOf_log_log_neg\n#print axioms contDiffOn_FAlt\n#print axioms FAlt_psi_neg\n#print axioms pos_of_convex_of_base\n#print axioms pos_of_convex_of_two_points\n\n-- session 012 (tier (ii) step 2: base-point discharge + final form)\n#print axioms marginTilde_FAlt_80000_pos\n#print axioms marginTilde_FAlt_80000_lt_100000\n#print axioms lambda_pos_finite_height_verified"},"extra_content":null}]