[{"type":"thinking","thinking":"LiPrincipal.lean compiles clean! The entire ii′-1b(ii) is proved:\n- `rectInt_deriv_eq_zero` (FTC vanishing)\n- `Acoeff`, `ppart`, `Gprim`\n- `deriv_Gprim`, `tail_continuousAt`, `ppart_eq_deriv_add`\n- `rectInt'_ppart` : RectangleIntegral' (ppart n) z w = ResW1 n (when 1 interior)\n\nLet me build the module and run the axiom audit, then commit this sub-stage progress (crash-safe), then decide whether to continue with ii′-1b(iii) or close the session.\n\nGiven the session's length (many hours of Lean iteration), the natural checkpoint: ii′-1b(i) + (ii) complete — commit. (iii) is the final rectangle residue assembly — a good chunk for the next session.","signature":""},{"type":"text","text":"LiPrincipal.lean compiles clean — ii′-1b(ii) complete. Building the module and auditing, then committing this checkpoint."},{"type":"tool_use","id":"Bash_284","name":"Bash","input":{"command":"cd /d/Python/Quantum/research/lean/NguyenRH1 && export PATH=\"$HOME/.elan/bin:$PATH\" && lake build NguyenRH1.LiPrincipal 2>&1 | tail -3 && cat > PrintAxioms.lean << 'EOF'\n/- Session 016 axiom audit: ii′-1b(ii) new declarations. -/\nimport Mathlib\nimport NguyenRH1.LiPrincipal\n\nopen NguyenRH1\n\n#print axioms rectInt'_ppart\n#print axioms rectInt_deriv_eq_zero\n#print axioms deriv_Gprim\n#print axioms Acoeff_one\nEOF\nlake env lean PrintAxioms.lean 2>&1 | head -6","description":"Build LiPrincipal and audit axioms","timeout":600000},"extra_content":null}]