proveit.numbers.number_sets.natural_numbers.fold_forall_natural_pos proveit.core_expr_types.tuples.tuple_len_0_typical_eq proveit.logic.booleans.conjunction.left_from_and proveit.logic.booleans.disjunction.unary_or_reduction proveit.logic.sets.inclusion.relax_proper_subset proveit.logic.sets.inclusion.superset_membership_from_proper_subset proveit.logic.sets.inclusion.unfold_subset_eq proveit.numbers.addition.association proveit.numbers.addition.disassociation proveit.numbers.number_sets.complex_numbers.real_within_complex proveit.numbers.number_sets.integers.nat_within_int proveit.numbers.number_sets.rational_numbers.int_within_rational proveit.numbers.number_sets.real_numbers.rational_within_real proveit.numbers.numerals.decimals.add_1_1 proveit.numbers.numerals.decimals.nat1 proveit.numbers.numerals.decimals.nat2 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq proveit.core_expr_types.tuples.range_from1_len_is_nat proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat proveit.core_expr_types.tuples.extended_range_from1_len_typical_eq proveit.core_expr_types.tuples.range_from1_len_typical_eq proveit.logic.equality.sub_in_right_operands_via_tuple proveit.numbers.addition.add_nat_closure_bin proveit.logic.booleans.conjunction.some_from_and proveit.logic.booleans.conjunction.any_from_and proveit.logic.booleans.disjunction.binary_closure proveit.logic.equality.sub_left_side_into proveit.core_expr_types.tuples.merge_extension proveit.logic.booleans.conjunction.and_if_both proveit.numbers.number_sets.real_numbers.nat_pos_within_real