[{"type":"thinking","thinking":"LiArchimedean.lean compiles clean — Part 1 (the Gammaℝ logDeriv split + τ₀ = −a₁) is DONE.\n\nNow it's ~23:00. The remaining piece-(A) work (digamma series for j ≥ 1) is substantial (~400-500 lines with several delicate pieces). Per the sub-stage rule, let me commit this clean state now and close the session properly. Actually — the session protocol: save artifacts immediately when produced. Let me wire LiArchimedean into the root, build, audit, commit.\n\nShould I continue into the digamma series tonight? The session has already delivered: D-066 design (session 019), piece B (session 019), piece A part 1 (session 020 now). It's 23:00 — late. The digamma-series build is the heavy rock — better started fresh. Let me close cleanly: build + audit + commit + journal + STATE. I'll present the state to the user and let them decide whether to continue tonight or break.\n\nActually — let me first wire and build, then decide. The wiring/build/audit is quick.","signature":""},{"type":"text","text":"Part 1 compiles clean — the Gammaℝ logDeriv split and τ₀ = −a₁ are proved. Wiring into root + full build + audit."},{"type":"tool_use","id":"Edit_284","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1.lean","old_string":"  NguyenRH1.LiZetaCoeff    — tier ii′-3a piece (B): the ζ-piece Taylor\n                             coefficients (iteratedDeriv_hLiExt)","new_string":"  NguyenRH1.LiZetaCoeff    — tier ii′-3a piece (B): the ζ-piece Taylor\n                             coefficients (iteratedDeriv_hLiExt)\n  NguyenRH1.LiArchimedean  — tier ii′-3a piece (A): the archimedean\n                             coefficients (logDeriv_Gammaℝ split; τ₀)"},"extra_content":null},{"type":"tool_use","id":"Edit_285","name":"Edit","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\NguyenRH1.lean","old_string":"import NguyenRH1.LiSides\nimport NguyenRH1.LiSwaps\nimport NguyenRH1.LiZetaCoeff","new_string":"import NguyenRH1.LiSides\nimport NguyenRH1.LiSwaps\nimport NguyenRH1.LiZetaCoeff\nimport NguyenRH1.LiArchimedean"},"extra_content":null},{"type":"tool_use","id":"Write_286","name":"Write","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\PrintAxioms.lean","content":"/- Session 020 axiom audit: ii′-3a piece (A) part 1 new declarations. -/\nimport Mathlib\nimport NguyenRH1.LiArchimedean\n\nopen NguyenRH1\n\n#print axioms logDeriv_Gammaℝ_one\n#print axioms logDeriv_Gammaℝ_one_add\n#print axioms pi_cpow_neg_half_eq_exp\n#print axioms log_four_pi\n"},"extra_content":null}]