[{"type":"thinking","thinking":"All new declarations audit clean. Committing this milestone now (crash-safe), then continuing to 12.2 (base-point numerics).","signature":""},{"type":"text","text":"All clean. Committing the milestone (crash-safe rule), then proceeding to the base-point discharge."},{"type":"tool_use","id":"Bash_75","name":"Bash","input":{"command":"cd D:/Python/Quantum && git add research/lean/NguyenRH1/NguyenRH1/LiSkeleton.lean research/lean/NguyenRH1/PrintAxioms.lean && git -c user.name=\"NGUYEN-RH-1\" -c user.email=\"research@local\" commit -m \"$(cat <<'EOF'\nSession 012: tier (ii) STEP 1 COMPLETE — lambda_pos_finite_height PROVED modulo SfBoundProp\n\nAssembly-first split per session-012-notes.txt: the finite-height Li theorem\nis now proved from (i) the single named analytic hypothesis SfBoundProp\n(∀ n ∈ [8×10⁴, N₁], |Sf n| ≤ Bn FAlt n), (ii) the computational perimeter\n(RHUpTo Platt–Trudgian, LiVerifiedUpTo 5×10⁵), (iii) two elementary\nbase-point evaluations (hbase/hbase′, discharge = step 2). PrintAxioms:\n3 standard axioms only, no sorryAx anywhere in LiSkeleton.\n\nNew machinery: FAlt (blockwise ψ-clean Trudgian-shape majorant — drops the\nnegative-weight −(log 2πe/2π)T term whose ψ crosses positive on [5.47,~16]),\nBn, Sf (BL Thm 2 as definition), marginTilde_eq_sub, ψ-blocks #1/#3/#4 with\nsigns, contDiffOn_FAlt, FAlt_psi_neg, pos_of_convex_of_base (MVT +\nConvexOn.monotoneOn_deriv). Refactor: chain_rule_sqrt_shift_on generalized\nto any c ≤ 1; margin regularity weakened to ContDiffOn (Ioi 1); unused hmaj\ndropped from marginTilde_convex.\nEOF\n)\" && git log --oneline -1","description":"Commit tier (ii) step 1 milestone"},"extra_content":null}]