[{"type":"thinking","thinking":"Paper compiles clean (12 pp). Now finish the session documentation:\n\n1. D-062 §5 note: the executed certified targets differ slightly from the plan (336000/328000 → margin ≥ 8001 instead of plan's 9960 estimate). Add an execution note to D-062.\n2. journal/session-012.md — append the step-2 + mathematician-notes section.\n3. STATE.md — update position + NEXT ACTION.\n4. NGUYEN.md — 5.1 line update (tier (ii) step 2 complete), session log entry append.\n5. db — no new derivation (D-062 already registered); update its status? The D-062 registration says \"complete (step 1 + triage; step-2 plan validated)\" — update to note step 2 executed. \n6. Commit.\n\nAlso the session-012-end-notes.txt should be archived (commit it like session-012-notes.txt).","signature":""},{"type":"text","text":"Paper clean at 12 pp. Finalizing documentation: D-062 execution note, journal append, STATE, NGUYEN.md, db."},{"type":"tool_use","id":"Edit_183","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\derivations\\D-062-SfBound-triage.md","old_string":"(True values: 15 764 and ~93 000 — the certified plan has ≥ 9 960 and\n≥ 22 000 slack on the two comparisons respectively.) Estimated Lean\neffort: ~400–600 lines of interval grind following the\n`block_range_bounds`/`iimaj_bracket_bound` patterns.","new_string":"(True values: 15 764 and ~93 000 — the certified plan has ≥ 9 960 and\n≥ 22 000 slack on the two comparisons respectively.) Estimated Lean\neffort: ~400–600 lines of interval grind following the\n`block_range_bounds`/`iimaj_bracket_bound` patterns.\n\n**EXECUTED 2026-08-20 (session 012, tier (ii) step 2).** Discharged in\nfull: `NguyenRH1/LiBasePoints.lean` (~560 lines), committed as fc2e55e.\nExecution notes vs the plan above: (i) the final certified targets were\nrounded outward for norm_num comfort — sInftyLower(8×10⁴) ∈\n[336 000, 339 000], Bn(8×10⁴) ∈ [274 000, 328 000], sInftyLower(10⁵) ≥\n432 500, Bn(10⁵) ≤ 347 000 — giving the consumed bounds margin(8×10⁴)\n≥ **8 001** (not the plan-stage 9 960) and margin(10⁵) ≥ 85 501 vs\nmargin(8×10⁴) ≤ 65 001; (ii) log π ≤ 1.1448 was replaced by the\ncomfortable log π ≤ 1.15 (e¹·¹⁵ ≥ 3.1582 > π, 0.5% margin), cost ~104\nunits, absorbed; (iii) 1/(2π) ≤ 1/6 used instead of 0.1592 (cost ~25);\n(iv) one real arithmetic slip caught by Lean: the Bn lower-bracket\nconstant 110.34987 → 110.3498 ((2/3)·5.3248 = 3.549866… rounds DOWN) —\nexactly the kind of error the formalization exists to catch. Result:\n`lambda_pos_finite_height_verified` — R-004 machine-verified modulo\n`SfBoundProp` + the declared computational perimeter only. PrintAxioms:\n3 standard axioms, no sorryAx."},"extra_content":null}]