{ "challenge_module": "Challenge", "solution_module": "Hironaka", "theorem_names": [ "AlgebraicGeometry.exists_blowUpSequence_ord_weakTransformSeq_lt", "AlgebraicGeometry.exists_blowUpSequence_weakTransformSeq_eq_top", "AlgebraicGeometry.exists_blowUpSequence_forall_exists_stalkIdeal_weakTransformSeq_eq_top", "AlgebraicGeometry.exists_functorial_principalization", "AlgebraicGeometry.exists_blowUpSequence_isInvertible_isSncBoundary_radical_comap", "AlgebraicGeometry.exists_functorial_resolution", "AlgebraicGeometry.exists_strong_resolution", "AlgebraicGeometry.exists_support_eq_singularLocus_isRegular_blowUp", "AlgebraicGeometry.exists_dense_isIso_restrict_isRegular_blowUp", "AlgebraicGeometry.exists_functorial_embeddedDesingularization", "AnalyticManifold.exists_extensionCompatibleFamily_weakTransformSeq_eq_top", "AnalyticManifold.exists_extensionCompatibleFamily_isNormalCrossingsDivisor_jacobianIdeal_mul_pullback", "AnalyticManifold.exists_functorial_principalization", "AnalyticManifold.exists_embeddedDesingularization", "AnalyticSpace.exists_functorial_resolution", "AnalyticSpace.exists_surjective_resolution_of_isReduced", "AlgebraicGeometry.exists_isBlowUpAlong_smooth", "exists_proper_analytic_monomialization" ], "permitted_axioms": [ "propext", "Quot.sound", "Classical.choice" ], "enable_nanoda": false }