[{"type":"thinking","thinking":"10 decls audited, all showing exactly the 3 standard axioms, and no sorryAx output (the grep -i sorry returned nothing). Clean.\n\nCommit ii′-5b, then session-end protocol. Let me commit LiRBound.lean + the root.","signature":""},{"type":"text","text":"All clean — 10 key decls, 3 standard axioms only, zero `sorryAx`. Committing ii′-5b."},{"type":"tool_use","id":"Bash_321","name":"Bash","input":{"command":"cd D:/Python/Quantum && git add research/lean/NguyenRH1/NguyenRH1/LiRBound.lean research/lean/NguyenRH1/NguyenRH1.lean && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 022 (ii'-5b): the level-2 zeta representation + disc bound\n\nLiRBound.lean (~640 lines): b2Fun (periodic Bernoulli primitive via\ncomp_fract''), the level-2 Euler–Maclaurin identity integral_b1_cpow_eq\n(per-unit-interval IBP, boundary-vanishing at integers, N→∞ limit), the\nparameter-integral analyticity hasDerivAt_b2Integral (re > −1, via\nhasDerivAt_integral_of_dominated_loc_of_deriv_le), the representation\nriemannZeta_eq_level2 (re > −1, via the convex W± regions + identity\nprinciple — no connectedness-of-punctured-halfplane needed), and\nnorm_riemannZeta_le_disc: ‖ζ‖ ≤ (3/4)|t|² on B(2+it, 5/2), |t| ≥ 10.\nFull build GREEN (8752 jobs); axiom audit: 3 standard axioms only.\nEOF\n)\"","description":"Commit ii′-5b"},"extra_content":null}]