[{"type":"thinking","thinking":"Full build GREEN (8753 jobs, up from 8752 — LiDisc now in the root). The only sorries are the intended skeletons (ValleySkeleton + SuzukiSkeleton).\n\nNow the axiom audit. Per session protocol, audit the new declarations. Let me write a quick PrintAxioms script for the key new decls:\n- logDeriv_riemannZeta_sub_nearZeros_le (the capstone)\n- scaledZeta_jensen_count (session 023)\n- norm_scaledZeta_le, scaledZeta_order_ne_top, one_le_analyticOrderNatAt_scaledZeta\n- scaledZeroFinset_sum_order_le, scaledZeroFinset_card_le_sum\n- exists_collection_radius, collRadius_ge/le/gap, rC_ge/le/pos/lt_one, rC_gap, collZeros_norm_le\n- Cf_eq_div_collProd, Cf_eq_zeroFactor_div, Cf_collZeros_analytic, Cf_collZeros_ne_zero, Cf_collZeros_log_norm_zero_nonneg, Cf_collZeros_norm_le_sphere, Cf_collZeros_norm_le_ball\n- log_9_4_le_one, log_33_32_ge, two_le_log_abs_t, jensen_bound_elementary, card96_le, collMultSum_le, log_50_card_le, Mbound_le\n- mem_nearZeros, affMap_injOn, zeroMult_affMap, sum_image_zeroMult_div, nearZeros_subset_image, sum_image_zeroMult_le\n\nThe pattern from previous sessions: a PrintAxioms.lean exists? There's PrintAxioms.lean and PrintAxiomsAll.lean in the package. Simplest: a scratch file with #print axioms lines, run with lake env lean. Expected: 'propext', 'Classical.choice', 'Quot.sound' only.","signature":""},{"type":"text","text":"Build green (8753 jobs). Now the axiom audit of the new declarations."},{"type":"tool_use","id":"Write_117","name":"Write","input":{"file_path":"D:\\Python\\Quantum\\research\\lean\\NguyenRH1\\AuditLiDisc.lean","content":"/- Session 024 axiom audit — ii′-5c (LiDisc.lean). Expect the 3 standard\n   axioms (propext, Classical.choice, Quot.sound) and NO sorryAx. -/\nimport NguyenRH1\n\nopen NguyenRH1\n\n#print axioms scaledZeta_jensen_count\n#print axioms norm_scaledZeta_le\n#print axioms scaledZeta_order_ne_top\n#print axioms one_le_analyticOrderNatAt_scaledZeta\n#print axioms scaledZeroFinset_sum_order_le\n#print axioms scaledZeroFinset_card_le_sum\n#print axioms exists_collection_radius\n#print axioms collRadius_gap\n#print axioms rC_gap\n#print axioms collZeros_norm_le\n#print axioms Cf_eq_div_collProd\n#print axioms Cf_eq_zeroFactor_div\n#print axioms Cf_collZeros_analytic\n#print axioms Cf_collZeros_ne_zero\n#print axioms Cf_collZeros_log_norm_zero_nonneg\n#print axioms Cf_collZeros_norm_le_sphere\n#print axioms Cf_collZeros_norm_le_ball\n#print axioms log_9_4_le_one\n#print axioms log_33_32_ge\n#print axioms two_le_log_abs_t\n#print axioms jensen_bound_elementary\n#print axioms card96_le\n#print axioms collMultSum_le\n#print axioms log_50_card_le\n#print axioms Mbound_le\n#print axioms mem_nearZeros\n#print axioms affMap_injOn\n#print axioms zeroMult_affMap\n#print axioms sum_image_zeroMult_div\n#print axioms nearZeros_subset_image\n#print axioms sum_image_zeroMult_le\n#print axioms logDeriv_riemannZeta_sub_nearZeros_le\n"},"extra_content":null}]