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	⊢
	: , : , :
1	reference	42	⊢
2	instantiation	4, 88, 5, 15, 6, 7, 8	⊢
	: , : , : , :
3	instantiation	18, 9	⊢
	:
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	instantiation	45	⊢
	: , : , :
6	instantiation	12, 10*	⊢
	: , :
7	instantiation	12, 11*	⊢
	: , :
8	instantiation	12, 13*	⊢
	: , :
9	instantiation	14, 88, 15, 16	⊢
	: , :
10	instantiation	42, 17, 21	⊢
	: , : , :
11	instantiation	18, 19	⊢
	:
12	axiom		⊢
	proveit.logic.equality.not_equals_def
13	instantiation	42, 20, 21	⊢
	: , : , :
14	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_all
15	instantiation	45	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.booleans.true_axiom
17	instantiation	51, 22	⊢
	: , : , :
18	axiom		⊢
	proveit.logic.booleans.eq_true_intro
19	instantiation	33, 23	⊢
	: , :
20	instantiation	51, 24	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.booleans.negation.not_f
22	instantiation	28, 25	⊢
	:
23	instantiation	26, 89, 27	⊢
	: , : , : , : , :
24	instantiation	28, 29	⊢
	:
25	instantiation	33, 39	⊢
	: , :
26	theorem		⊢
	proveit.logic.booleans.conjunction.any_from_and
27	instantiation	30, 88, 31, 32	⊢
	: , : , :
28	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
29	instantiation	33, 40	⊢
	: , :
30	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_unfold
31	instantiation	45	⊢
	: , : , :
32	instantiation	34, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.equality.unfold_not_equals
34	theorem		⊢
	proveit.logic.equality.sub_left_side_into
35	instantiation	37, 88, 38, 39, 40, 41	⊢
	: , : , :
36	instantiation	42, 43, 44	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
38	instantiation	45	⊢
	: , : , :
39	instantiation	46, 47	⊢
	: , :
40	instantiation	56, 92, 88, 48	⊢
	: , :
41	instantiation	56, 92, 49, 50	⊢
	: , :
42	axiom		⊢
	proveit.logic.equality.equals_transitivity
43	instantiation	51, 52	⊢
	: , : , :
44	instantiation	53, 89, 54, 55	⊢
	: , : , : , : , : , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
46	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
47	instantiation	56, 89, 92, 57	⊢
	: , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
50	instantiation	58, 79, 59, 60, 61*, 62*	⊢
	: , : , :
51	axiom		⊢
	proveit.logic.equality.substitution
52	instantiation	67, 63, 64	⊢
	: , : , :
53	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
54	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
55	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
56	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
57	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
58	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
60	instantiation	65, 66	⊢
	:
61	instantiation	67, 68, 69	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
63	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
64	instantiation	73, 70, 71	⊢
	: , :
65	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
66	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
67	theorem		⊢
	proveit.logic.equality.sub_right_side_into
68	instantiation	72, 74	⊢
	:
69	instantiation	73, 74, 75	⊢
	: , :
70	instantiation	90, 78, 76	⊢
	: , : , :
71	instantiation	90, 78, 77	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.addition.elim_zero_right
73	theorem		⊢
	proveit.numbers.addition.commutation
74	instantiation	90, 78, 79	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
76	instantiation	90, 82, 80	⊢
	: , : , :
77	instantiation	90, 82, 81	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
79	instantiation	90, 82, 83	⊢
	: , : , :
80	instantiation	90, 86, 84	⊢
	: , : , :
81	instantiation	90, 86, 85	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
83	instantiation	90, 86, 87	⊢
	: , : , :
84	instantiation	90, 91, 88	⊢
	: , : , :
85	instantiation	90, 91, 89	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
87	instantiation	90, 91, 92	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
89	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
90	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
91	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
92	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements