Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6, 7	⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.leftward_commutation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	8	⊢
	: , :
6	instantiation	21, 10, 9	⊢
	: , : , :
7	instantiation	21, 10, 11	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9	instantiation	21, 12, 13	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
11	instantiation	14, 15, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
13	instantiation	21, 17, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
15	instantiation	19, 20	⊢
	: , :
16	assumption		⊢
17	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
18	instantiation	21, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
21	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
22	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1