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, 10, 11, 12	,  ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	13	⊢
	: , : , :
7	instantiation	14	⊢
	: , :
8	instantiation	41, 22, 15	,  ⊢
	: , : , :
9	instantiation	41, 22, 16	⊢
	: , : , :
10	reference	18	⊢
11	instantiation	17, 18	⊢
	:
12	instantiation	41, 22, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	41, 28, 20	,  ⊢
	: , : , :
16	instantiation	41, 28, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.negation.complex_closure
18	instantiation	41, 22, 23	⊢
	: , : , :
19	instantiation	24, 25, 43	⊢
	: , : , :
20	instantiation	41, 35, 26	,  ⊢
	: , : , :
21	instantiation	41, 35, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	41, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
25	instantiation	30, 31	⊢
	: , :
26	instantiation	41, 32, 33	,  ⊢
	: , : , :
27	instantiation	34, 38	⊢
	:
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	41, 35, 37	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
32	instantiation	36, 37, 38	⊢
	: , :
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.negation.int_closure
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
37	instantiation	41, 39, 40	⊢
	: , : , :
38	instantiation	41, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
43	assumption		⊢