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*	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_equiv
2	reference	72	⊢
3	instantiation	26	⊢
	: , : , :
4	instantiation	23, 5, 6	⊢
	: , : , :
5	instantiation	7, 72, 8, 19, 9, 10, 11	⊢
	: , : , : , :
6	instantiation	12, 13	⊢
	:
7	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
8	instantiation	26	⊢
	: , : , :
9	instantiation	16, 14*	⊢
	: , :
10	instantiation	16, 15*	⊢
	: , :
11	instantiation	16, 17*	⊢
	: , :
12	axiom		⊢
	proveit.logic.booleans.eq_true_intro
13	instantiation	18, 72, 19, 20	⊢
	: , :
14	instantiation	23, 21, 25	⊢
	: , : , :
15	instantiation	23, 22, 25	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.not_equals_def
17	instantiation	23, 24, 25	⊢
	: , : , :
18	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_all
19	instantiation	26	⊢
	: , : , :
20	axiom		⊢
	proveit.logic.booleans.true_axiom
21	instantiation	29, 27	⊢
	: , : , :
22	instantiation	29, 28	⊢
	: , : , :
23	axiom		⊢
	proveit.logic.equality.equals_transitivity
24	instantiation	29, 30	⊢
	: , : , :
25	axiom		⊢
	proveit.logic.booleans.negation.not_f
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
27	instantiation	33, 31	⊢
	:
28	instantiation	33, 32	⊢
	:
29	axiom		⊢
	proveit.logic.equality.substitution
30	instantiation	33, 34	⊢
	:
31	instantiation	37, 35	⊢
	: , :
32	instantiation	37, 36	⊢
	: , :
33	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
34	instantiation	37, 38	⊢
	: , :
35	instantiation	41, 39	⊢
	: , :
36	instantiation	41, 40	⊢
	: , :
37	theorem		⊢
	proveit.logic.equality.unfold_not_equals
38	instantiation	41, 42	⊢
	: , :
39	instantiation	45, 82, 46, 43	⊢
	: , :
40	instantiation	45, 85, 46, 44	⊢
	: , :
41	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
42	instantiation	45, 72, 46, 47	⊢
	: , :
43	instantiation	52, 73, 53, 48, 49, 50*, 51*	⊢
	: , : , :
44	instantiation	52, 75, 53, 54, 55*, 56*	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
47	theorem		⊢
	proveit.numbers.numerals.decimals.less_3_4
48	instantiation	83, 77, 57	⊢
	: , : , :
49	instantiation	61, 58	⊢
	:
50	instantiation	63, 59, 60	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
52	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
54	instantiation	61, 62	⊢
	:
55	instantiation	63, 64, 65	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
57	instantiation	83, 80, 66	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
59	instantiation	68, 67	⊢
	:
60	instantiation	69, 67, 71	⊢
	: , :
61	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
62	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
63	theorem		⊢
	proveit.logic.equality.sub_right_side_into
64	instantiation	68, 70	⊢
	:
65	instantiation	69, 70, 71	⊢
	: , :
66	instantiation	83, 84, 72	⊢
	: , : , :
67	instantiation	83, 74, 73	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.addition.elim_zero_right
69	theorem		⊢
	proveit.numbers.addition.commutation
70	instantiation	83, 74, 75	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
73	instantiation	83, 77, 76	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
75	instantiation	83, 77, 78	⊢
	: , : , :
76	instantiation	83, 80, 79	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
78	instantiation	83, 80, 81	⊢
	: , : , :
79	instantiation	83, 84, 82	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
81	instantiation	83, 84, 85	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
83	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
84	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
85	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements