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