← Session 22 — ii′-1: liCoeff pairing fix + residue machinery
thinking (562 chars)
Interesting — sessions 016's log entry seems missing from §8.6 (the log jumps from 015 to §9). Let me check — the git log showed "21c7497 Session 016 closure: journal + STATE + NGUYEN checklist (ii'-1b (i)+(ii) complete)" — so session 016 DID update NGUYEN.md checklist. But the §8.6 session log entry for 016... it goes 015 → §9 directly. So session 016's closure did NOT add a §8.6 entry (only the checklist). Hmm — to keep the log complete, I should add both 016 and 017 entries. Let me add a 016 entry (brief, from the journal-016 content) and the 017 entry.
Session 016's §8.6 entry was never added — adding both 016 and 017.
tool: Edit
input
{
"file_path": "D:\\Python\\Quantum\\NGUYEN.md",
"old_string": " LiVerifiedUpTo/SfBoundProp are now TRUE statements. Phase 5B\n checklist installed (commit 7a395b2). Next: ii\u2032-1b residue machinery.\n\n## 9. SUCCESS CRITERIA (ordered)",
"new_string": " LiVerifiedUpTo/SfBoundProp are now TRUE statements. Phase 5B\n checklist installed (commit 7a395b2). Next: ii\u2032-1b residue machinery.\n- Session 016 (2026-08-21): **ii\u2032-1b(i)+(ii) COMPLETE** \u2014 LiResidue.lean\n (zetaA = (w\u22121)\u03b6 analytic at 1 via removable singularity; hLi analytic,\n value 1, punctured agreement; lcoeff; A_iter; **ResW1_eq_sum**: the\n w=1 residue = \u03a3_{j=1}^n C(n,j)\u00b7lcoeff(j\u22121) by iteratedDeriv_mul\n Leibniz) + LiPrincipal.lean (rectInt_deriv_eq_zero per-side FTC;\n Acoeff/ppart/Gprim; **rectInt'_ppart**: principal part integrates to\n ResW1 n on any rectangle with 1 interior). 3 standard axioms only.\n- Session 017 (2026-08-21): **ii\u2032-1b(iii) COMPLETE \u2014 ii\u2032-1b FULLY\n DONE** \u2014 LiSides.lean (~460 lines): **rectInt'_Jlag**, the rectangle\n residue theorem for the Lagarias-kernel integrand:\n RectangleIntegral' (Jlag n) z w = ResW1 n + \u03a3_{\u03c1\u2208Sz} (zeroMult\n \u03c1)\u00b7(1\u2212(\u03c1/(\u03c1\u22121))\u207f) (1 interior, \u03b6 \u2260 0 on border, Sz = zeros inside,\n supplied form). Removable singularity at 1 via Taylor-remainder order\n \u2265 n+1 (Ffun\u2212TaylP); logDeriv-NF residues at zeros (multiple zeros\n OK); zeta_order_ne_top_of_ne via the entire zetaA (identity\n principle on univ, no punctured-plane connectedness needed; zetaA 1\n = 1 makes \u03b6(1)'s junk value irrelevant). Root NguyenRH1.lean now\n imports LiResidue/LiPrincipal/LiSides; full build GREEN (8745 jobs);\n 19 new decls, 3 standard axioms only. Deferred: zeroMult(\u22122) = 1\n (trivial-zero simplicity) \u2014 ii\u2032-4. Next: ii\u2032-2 elementary swaps.\n\n## 9. SUCCESS CRITERIA (ordered)"
}
raw content_json (database row)
[{"type":"thinking","thinking":"Interesting — sessions 016's log entry seems missing from §8.6 (the log jumps from 015 to §9). Let me check — the git log showed \"21c7497 Session 016 closure: journal + STATE + NGUYEN checklist (ii'-1b (i)+(ii) complete)\" — so session 016 DID update NGUYEN.md checklist. But the §8.6 session log entry for 016... it goes 015 → §9 directly. So session 016's closure did NOT add a §8.6 entry (only the checklist). Hmm — to keep the log complete, I should add both 016 and 017 entries. Let me add a 016 entry (brief, from the journal-016 content) and the 017 entry.","signature":""},{"type":"text","text":"Session 016's §8.6 entry was never added — adding both 016 and 017."},{"type":"tool_use","id":"Edit_68","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\NGUYEN.md","old_string":" LiVerifiedUpTo/SfBoundProp are now TRUE statements. Phase 5B\n checklist installed (commit 7a395b2). Next: ii′-1b residue machinery.\n\n## 9. SUCCESS CRITERIA (ordered)","new_string":" LiVerifiedUpTo/SfBoundProp are now TRUE statements. Phase 5B\n checklist installed (commit 7a395b2). Next: ii′-1b residue machinery.\n- Session 016 (2026-08-21): **ii′-1b(i)+(ii) COMPLETE** — LiResidue.lean\n (zetaA = (w−1)ζ analytic at 1 via removable singularity; hLi analytic,\n value 1, punctured agreement; lcoeff; A_iter; **ResW1_eq_sum**: the\n w=1 residue = Σ_{j=1}^n C(n,j)·lcoeff(j−1) by iteratedDeriv_mul\n Leibniz) + LiPrincipal.lean (rectInt_deriv_eq_zero per-side FTC;\n Acoeff/ppart/Gprim; **rectInt'_ppart**: principal part integrates to\n ResW1 n on any rectangle with 1 interior). 3 standard axioms only.\n- Session 017 (2026-08-21): **ii′-1b(iii) COMPLETE — ii′-1b FULLY\n DONE** — LiSides.lean (~460 lines): **rectInt'_Jlag**, the rectangle\n residue theorem for the Lagarias-kernel integrand:\n RectangleIntegral' (Jlag n) z w = ResW1 n + Σ_{ρ∈Sz} (zeroMult\n ρ)·(1−(ρ/(ρ−1))ⁿ) (1 interior, ζ ≠ 0 on border, Sz = zeros inside,\n supplied form). Removable singularity at 1 via Taylor-remainder order\n ≥ n+1 (Ffun−TaylP); logDeriv-NF residues at zeros (multiple zeros\n OK); zeta_order_ne_top_of_ne via the entire zetaA (identity\n principle on univ, no punctured-plane connectedness needed; zetaA 1\n = 1 makes ζ(1)'s junk value irrelevant). Root NguyenRH1.lean now\n imports LiResidue/LiPrincipal/LiSides; full build GREEN (8745 jobs);\n 19 new decls, 3 standard axioms only. Deferred: zeroMult(−2) = 1\n (trivial-zero simplicity) — ii′-4. Next: ii′-2 elementary swaps.\n\n## 9. SUCCESS CRITERIA (ordered)"},"extra_content":null}]