[{"type":"thinking","thinking":"Also write PrintAxioms.lean script for the 5.2 audit of our skeletons. Then check the cache fetch status.","signature":""},{"type":"text","text":"Now the PrintAxioms script, then check the cache fetch."},{"type":"tool_use","id":"Write_96","name":"Write","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\PrintAxioms.lean","content":"/-\nPrintAxioms.lean — task 5.2 axiom audit for the NguyenRH1 skeletons.\n\nRun (from research/lean/NguyenRH1/):\n  lake env lean PrintAxioms.lean\n\nEXPECTED at skeleton stage: every declaration shows\n  [propext, Classical.choice, Quot.sound, sorryAx]\n— the three standard axioms (permitted per NGUYEN.md §5.2) plus\n`sorryAx`, the honest marker that the proof is not yet formalized.\nAny other axiom is a violation. When a proof is completed, its\n`sorryAx` must disappear; task 5.2 is complete when no declaration\nshows `sorryAx` and nothing beyond the three standard axioms appears.\n-/\nimport NguyenRH1\n\nopen NguyenRH1\n\n#print axioms lambda_pos_finite_height\n#print axioms sInfty_lower_bound\n#print axioms marginTilde_convex\n#print axioms chain_rule_sqrt_shift\n#print axioms R003_exact_factorization\n#print axioms valley_plateau_upper\n#print axioms valley_floor_upper\n#print axioms valley_floor_lower_isolated\n#print axioms valley_profile\n"},"extra_content":null},{"type":"tool_use","id":"Bash_97","name":"Bash","input":{"command":"tail -5 /d/Python/Quantum/zeta-23-lean/lean-cache-fetch.log 2>/dev/null; echo \"---\"; du -sh /d/Python/Quantum/zeta-23-lean/.lake/packages/mathlib 2>/dev/null; ps -W 2>/dev/null | grep -i lake | head -3","description":"Check cache fetch progress"},"extra_content":null}]