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, 8, 9	,  ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	25	⊢
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	instantiation	23, 13, 11	⊢
	: , : , :
8	instantiation	23, 13, 12	⊢
	: , : , :
9	instantiation	23, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	assumption		⊢
12	instantiation	23, 16, 15	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	23, 16, 17	⊢
	: , : , :
15	instantiation	23, 19, 18	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
17	instantiation	23, 19, 20	⊢
	: , : , :
18	instantiation	21, 22	⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	23, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.negation.int_closure
22	assumption		⊢
23	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2