← Session 36 — ii′-6-DL dog-leg + side bounds; Paper A review
thinking (178 chars)
Now STATE.md — update the theorem-status certificate description + the session-042 headline + next action. And journal/session-042.md + db registration. Let me do STATE.md edits.
Now STATE.md (session-042 headline + certificate fix in theorem status) and journal-042.
tool: Edit
input
{
"replace_all": false,
"file_path": "D:\\Python\\Quantum\\STATE.md",
"old_string": "# STATE.md \u2014 NGUYEN-RH-1 RESUME POINT\n# \u2b50 READ THIS FIRST at the start of every session.\nLast updated: 2026-08-26 | **ii\u2032-6 + ii\u2032-7 COMPLETE (session 041):\n`sfBoundProp : SfBoundProp` and `lambda_pos_finite_height_closed`\nPROVED in Lean from EXACTLY the eight declared hypotheses; full axiom\naudit clean; Paper A closed (B(n) correction note F-A/F-B/F-D/F-E,\nAppendix B rewritten, compiles clean 9 pp); archive closed (D-037\nerratum block, R-004 Lean-closure status, NGUYEN.md, this file,\njournal-041). The finite-height Li theorem \u03bb_n > 0 for ALL\n1 \u2264 n \u2264 N\u2081 = (3\u00d710\u00b9\u00b2\u22121)\u00b2 \u2248 9\u00d710\u00b2\u2074 is now FULLY MACHINE-PROVED with\nthe ORIGINAL N\u2081 PRESERVED (D-074 dog-leg endpoint). Master @ b64a839+\n(archive commits after). NEXT: user read-through of paperA.pdf +\nsubmission decision; deprioritized threads below.**",
"new_string": "# STATE.md \u2014 NGUYEN-RH-1 RESUME POINT\n# \u2b50 READ THIS FIRST at the start of every session.\nLast updated: 2026-08-26 (session 042) | **ii\u2032-6 + ii\u2032-7 COMPLETE\n(session 041); SESSION-042 REVIEW REVISION COMPLETE: the user's\npaper-A review fully actioned \u2014 the finite-verification certificate\nRETRACTED (Misguich\u2013Voros = deformed sequence, private communication)\nand replaced by Johansson 2015 \u00a7 4.2 (rigorous, published, ordinary\n\u03bb_n to 10\u2075); LiVerifiedUpTo (5\u00b710\u2075) \u2192 (10\u2075) in Lean (79c96f2, audit\nclean); the hypothesis count corrected (8 \u2192 SEVEN, caught by the\nuser); the theorem statement now exposes all assumptions; F-D dog-leg\npromoted to its own \u00a73.1 with precise Lagarias wording (proof-gap\nframing, not theorem-false); Appendix B gains the verbatim Lean\nsignature + the instantiation list + the dependency-chain diagram;\nnovelty claims hedged (Oesterl\u00e9 2000's unpublished precursor n \u2264 T\u2080\u00b2\nnoted; Lagarias 2007's published weaker window); Section 2 compressed\nto one paragraph; revision date updated. Paper A compiles clean,\n11 pp, zero undefined refs. Master @ the revision commit. NEXT: user\nread-through of the REVISED paperA.pdf + submission decision.**"
}
raw content_json (database row)
[{"type":"thinking","thinking":"Now STATE.md — update the theorem-status certificate description + the session-042 headline + next action. And journal/session-042.md + db registration. Let me do STATE.md edits.","signature":""},{"type":"text","text":"Now STATE.md (session-042 headline + certificate fix in theorem status) and journal-042."},{"type":"tool_use","id":"Edit_332","name":"Edit","input":{"replace_all":false,"file_path":"D:\\Python\\Quantum\\STATE.md","old_string":"# STATE.md — NGUYEN-RH-1 RESUME POINT\n# ⭐ READ THIS FIRST at the start of every session.\nLast updated: 2026-08-26 | **ii′-6 + ii′-7 COMPLETE (session 041):\n`sfBoundProp : SfBoundProp` and `lambda_pos_finite_height_closed`\nPROVED in Lean from EXACTLY the eight declared hypotheses; full axiom\naudit clean; Paper A closed (B(n) correction note F-A/F-B/F-D/F-E,\nAppendix B rewritten, compiles clean 9 pp); archive closed (D-037\nerratum block, R-004 Lean-closure status, NGUYEN.md, this file,\njournal-041). The finite-height Li theorem λ_n > 0 for ALL\n1 ≤ n ≤ N₁ = (3×10¹²−1)² ≈ 9×10²⁴ is now FULLY MACHINE-PROVED with\nthe ORIGINAL N₁ PRESERVED (D-074 dog-leg endpoint). Master @ b64a839+\n(archive commits after). NEXT: user read-through of paperA.pdf +\nsubmission decision; deprioritized threads below.**","new_string":"# STATE.md — NGUYEN-RH-1 RESUME POINT\n# ⭐ READ THIS FIRST at the start of every session.\nLast updated: 2026-08-26 (session 042) | **ii′-6 + ii′-7 COMPLETE\n(session 041); SESSION-042 REVIEW REVISION COMPLETE: the user's\npaper-A review fully actioned — the finite-verification certificate\nRETRACTED (Misguich–Voros = deformed sequence, private communication)\nand replaced by Johansson 2015 § 4.2 (rigorous, published, ordinary\nλ_n to 10⁵); LiVerifiedUpTo (5·10⁵) → (10⁵) in Lean (79c96f2, audit\nclean); the hypothesis count corrected (8 → SEVEN, caught by the\nuser); the theorem statement now exposes all assumptions; F-D dog-leg\npromoted to its own §3.1 with precise Lagarias wording (proof-gap\nframing, not theorem-false); Appendix B gains the verbatim Lean\nsignature + the instantiation list + the dependency-chain diagram;\nnovelty claims hedged (Oesterlé 2000's unpublished precursor n ≤ T₀²\nnoted; Lagarias 2007's published weaker window); Section 2 compressed\nto one paragraph; revision date updated. Paper A compiles clean,\n11 pp, zero undefined refs. Master @ the revision commit. NEXT: user\nread-through of the REVISED paperA.pdf + submission decision.**"},"extra_content":null}]