← Session 36 — ii′-6-DL dog-leg + side bounds; Paper A review
thinking (1426 chars)
CLEAN — zero errors/warnings. **6-d (the fold) elaborates green — `sfBoundProp : SfBoundProp` is PROVED.**
This is the ii′-6 capstone. Now: header markers, full build, audit, commit. Then update NGUYEN.md checklist + STATE.md per the END protocol... — wait — the session isn't over; the user asked to "continue with the rest of the 6-c, starting with 6-c-ii" — 6-c AND 6-d are now done. The remaining per the plan is ii′-7 (closure: lambda_pos_finite_height_closed with the 3 perimeter hypotheses only, full axiom audit, paper Appendix B + tag upgrade, archive closure). That's a separate, larger stage — I should report 6-c + 6-d completion to the user and ask/note about ii′-7.
Actually — let me check the scope: "Let's continue with the rest of the 6-c, starting with 6-c-ii" — the user asked for "the rest of the 6-c" — 6-c-i through 6-c-v. 6-d was in my todo list as part of "the rest of the 6-c" reading (the sub-stage map "6-c-i ✓ → 6-c-ii → 6-c-iii → 6-c-iv → 6-c-v → 6-d fold ⟹ sfBoundProp → ii′-7"). I've now completed through 6-d — a natural major milestone (sfBoundProp PROVED — the entire ii′-6 is done).
Let me finish the protocol for 6-d: header comment for §6, full build, audit (all new decls), commit. Then report to the user with the state and the ii′-7 question.
New decls in §6: C0hat_le_self, pinch_horizontal, sfBoundProp. Plus the 6-c decls already audited.
Audit: add §6 decls to AuditSession041.
**6-d GREEN — `sfBoundProp : SfBoundProp` is PROVED.** Header marker, full build, audit, commit.
tool: Edit
input
{
"replace_all": false,
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSideBounds.lean",
"old_string": "\u00a74 (6-c-iv) DONE: the mid-horizontal segment machine [\u22125/2, 3].\n\u00a75 (6-c-v) DONE: the full horizontal assembly (mid + DL-5 tails, both sides).",
"new_string": "\u00a74 (6-c-iv) DONE: the mid-horizontal segment machine [\u22125/2, 3].\n\u00a75 (6-c-v) DONE: the full horizontal assembly (mid + DL-5 tails, both sides).\n\u00a76 (6-d) DONE: the fold \u2014 `sfBoundProp : SfBoundProp` (six perimeter hyps)."
}
tool: Edit
input
{
"replace_all": false,
"file_path": "D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\AuditSession041.lean",
"old_string": "-- \u00a75 (6-c-v): the full horizontal assembly\n#print axioms hIntegral_Jlag_full_norm_le\n#print axioms hIntegral_Jlag_full_neg_norm_le\n#print axioms hIntegral_Jlag_full_two_sides",
"new_string": "-- \u00a75 (6-c-v): the full horizontal assembly\n#print axioms hIntegral_Jlag_full_norm_le\n#print axioms hIntegral_Jlag_full_neg_norm_le\n#print axioms hIntegral_Jlag_full_two_sides\n\n-- \u00a76 (6-d): the fold \u2014 sfBoundProp : SfBoundProp\n#print axioms C0hat_le_self\n#print axioms pinch_horizontal\n#print axioms sfBoundProp"
}
raw content_json (database row)
[{"type":"thinking","thinking":"CLEAN — zero errors/warnings. **6-d (the fold) elaborates green — `sfBoundProp : SfBoundProp` is PROVED.**\n\nThis is the ii′-6 capstone. Now: header markers, full build, audit, commit. Then update NGUYEN.md checklist + STATE.md per the END protocol... — wait — the session isn't over; the user asked to \"continue with the rest of the 6-c, starting with 6-c-ii\" — 6-c AND 6-d are now done. The remaining per the plan is ii′-7 (closure: lambda_pos_finite_height_closed with the 3 perimeter hypotheses only, full axiom audit, paper Appendix B + tag upgrade, archive closure). That's a separate, larger stage — I should report 6-c + 6-d completion to the user and ask/note about ii′-7.\n\nActually — let me check the scope: \"Let's continue with the rest of the 6-c, starting with 6-c-ii\" — the user asked for \"the rest of the 6-c\" — 6-c-i through 6-c-v. 6-d was in my todo list as part of \"the rest of the 6-c\" reading (the sub-stage map \"6-c-i ✓ → 6-c-ii → 6-c-iii → 6-c-iv → 6-c-v → 6-d fold ⟹ sfBoundProp → ii′-7\"). I've now completed through 6-d — a natural major milestone (sfBoundProp PROVED — the entire ii′-6 is done).\n\nLet me finish the protocol for 6-d: header comment for §6, full build, audit (all new decls), commit. Then report to the user with the state and the ii′-7 question.\n\nNew decls in §6: C0hat_le_self, pinch_horizontal, sfBoundProp. Plus the 6-c decls already audited.\n\nAudit: add §6 decls to AuditSession041.","signature":""},{"type":"text","text":"**6-d GREEN — `sfBoundProp : SfBoundProp` is PROVED.** Header marker, full build, audit, commit."},{"type":"tool_use","id":"Edit_197","name":"Edit","input":{"replace_all":false,"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1\\LiSideBounds.lean","old_string":"§4 (6-c-iv) DONE: the mid-horizontal segment machine [−5/2, 3].\n§5 (6-c-v) DONE: the full horizontal assembly (mid + DL-5 tails, both sides).","new_string":"§4 (6-c-iv) DONE: the mid-horizontal segment machine [−5/2, 3].\n§5 (6-c-v) DONE: the full horizontal assembly (mid + DL-5 tails, both sides).\n§6 (6-d) DONE: the fold — `sfBoundProp : SfBoundProp` (six perimeter hyps)."},"extra_content":null},{"type":"tool_use","id":"Edit_198","name":"Edit","input":{"replace_all":false,"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\AuditSession041.lean","old_string":"-- §5 (6-c-v): the full horizontal assembly\n#print axioms hIntegral_Jlag_full_norm_le\n#print axioms hIntegral_Jlag_full_neg_norm_le\n#print axioms hIntegral_Jlag_full_two_sides","new_string":"-- §5 (6-c-v): the full horizontal assembly\n#print axioms hIntegral_Jlag_full_norm_le\n#print axioms hIntegral_Jlag_full_neg_norm_le\n#print axioms hIntegral_Jlag_full_two_sides\n\n-- §6 (6-d): the fold — sfBoundProp : SfBoundProp\n#print axioms C0hat_le_self\n#print axioms pinch_horizontal\n#print axioms sfBoundProp"},"extra_content":null}]