'zero_or_succ' does not depend on any axioms 'no_largest' does not depend on any axioms 'add_comm'' does not depend on any axioms 'add_assoc'' does not depend on any axioms 'sum_of_four' depends on axioms: [propext, Quot.sound] 'left_distrib'' does not depend on any axioms 'split_at_ten' depends on axioms: [propext] 'place_value' depends on axioms: [propext] 'place_value_base' depends on axioms: [propext] 'sub_add_cancel_iff' depends on axioms: [propext, Quot.sound] 'subtraction_is_not_inverse' does not depend on any axioms