[{"type":"thinking","thinking":"ii′-6-a2 COMPLETE. Commit. Per the banked gotcha: `lake env lean` used the stale olean for LiSkeleton in the base-points check — but the FULL build is green, so the on-disk state is consistent (the check scripts elaborated against freshly-built oleans after the build).\n\nCommit the a2 work (LiSkeleton + LiBasePoints changes + the extended audit), then update D-074's progress log + NGUYEN.md checklist + STATE.md + journal.\n\nActually I already updated D-074 + NGUYEN.md + STATE.md. Commit everything together as the a2 + DL-thread closure commit.","signature":""},{"type":"text","text":"ii′-6-a2 COMPLETE — full build GREEN (8773 jobs), endpoints unchanged, audit 41 decls clean. Committing."},{"type":"tool_use","id":"Bash_0","name":"Bash","input":{"command":"cd /d/Python/Quantum && git add research/lean/NguyenRH1/NguyenRH1/LiSkeleton.lean research/lean/NguyenRH1/NguyenRH1/LiBasePoints.lean research/lean/NguyenRH1/AuditSession040.lean research/lean/NguyenRH1/audit-session040-axioms.txt research/derivations/D-074-dogleg-repair.md NGUYEN.md STATE.md && git commit -m \"$(cat <<'EOF'\nii′-6-a2: Bn dog-leg redefinition COMPLETE — N₁ = (T₀−1)² ≈ 9×10²⁴ PRESERVED (D-074 endpoint)\n\nBn redefined with the D-074 horizontal: 2(e⁴+1)(7Ĥ) + 2·DogLegRight(n),\nDogLegRight(n) = ((√n+1)/2)(e^{5/2}+1)/2 + 8.38 + IIMaj(n)/4 (V_left + H_high + V_right).\nT = √n+1 UNCHANGED ⟹ SfBoundProp / lambda_pos_finite_height_verified at the ORIGINAL N₁.\nmarginTilde/eq_expanded/convex lockstep (DogLegRight honest positive; mIIM −1.5·IIMaj with\nthe 1/(3n) bracket ⟹ 1.5·(1/(3n)) = 1/(2n) < 2; the √n+1 piece folded into mId).\nBase points re-certified: Bn(8e4) ∈ [273000, 332000], Bn(10⁵) ≤ 352000 ⟹ hbase/hbase2 hold.\nAudit extended: 41 decls, [propext, Classical.choice, Quot.sound] only, 0 sorryAx.\nTHE ORIGINAL PLAN RESUMES: ii′-6-c → ii′-6-d → ii′-7.\nEOF\n)\" && git log --oneline -3","description":"Commit ii′-6-a2 (Bn dog-leg redefinition)"},"extra_content":null}]