proveit.numbers.number_sets.natural_numbers.fold_forall_natural_pos proveit.core_expr_types.tuples.range_from1_len_typical_eq proveit.core_expr_types.tuples.tuple_len_0_typical_eq proveit.core_expr_types.tuples.tuple_portion_substitution proveit.logic.sets.inclusion.superset_membership_from_proper_subset proveit.numbers.addition.elim_zero_left 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.nat1 proveit.numbers.numerals.decimals.nat2 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq proveit.logic.booleans.conjunction.and_if_both proveit.logic.equality.lhs_via_equality 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.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.core_expr_types.tuples.merge_extension proveit.logic.equality.sub_right_side_into