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	37	⊢
2	instantiation	4, 98, 5	⊢
	: , : , :
3	instantiation	37, 6, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_equiv
5	instantiation	34	⊢
	: , : , :
6	instantiation	8, 9, 10, 11	⊢
	: , : , : , :
7	instantiation	37, 12, 13	⊢
	: , : , :
8	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
9	instantiation	44, 14	⊢
	: , : , :
10	instantiation	44, 15	⊢
	: , : , :
11	instantiation	44, 16	⊢
	: , : , :
12	instantiation	37, 17, 18	⊢
	: , : , :
13	instantiation	32, 19	⊢
	:
14	instantiation	44, 35	⊢
	: , : , :
15	instantiation	37, 20, 21	⊢
	: , : , :
16	instantiation	44, 35	⊢
	: , : , :
17	instantiation	44, 22	⊢
	: , : , :
18	instantiation	44, 23	⊢
	: , : , :
19	instantiation	24, 98, 25, 26	⊢
	: , :
20	instantiation	37, 27, 28	⊢
	: , : , :
21	instantiation	29, 30*	⊢
	: , :
22	instantiation	32, 31	⊢
	:
23	instantiation	32, 33	⊢
	:
24	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_all
25	instantiation	34	⊢
	: , : , :
26	axiom		⊢
	proveit.logic.booleans.true_axiom
27	instantiation	44, 35	⊢
	: , : , :
28	instantiation	44, 36	⊢
	: , : , :
29	axiom		⊢
	proveit.logic.equality.not_equals_def
30	instantiation	37, 38, 39	⊢
	: , : , :
31	instantiation	72, 40	⊢
	: , :
32	axiom		⊢
	proveit.logic.booleans.eq_true_intro
33	instantiation	72, 41	⊢
	: , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
35	assumption		⊢
36	instantiation	69, 42, 43	⊢
	: , : , :
37	axiom		⊢
	proveit.logic.equality.equals_transitivity
38	instantiation	44, 45	⊢
	: , : , :
39	axiom		⊢
	proveit.logic.booleans.negation.not_f
40	instantiation	81, 97, 82, 46	⊢
	: , :
41	instantiation	81, 98, 82, 47	⊢
	: , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
43	instantiation	78, 79, 75	⊢
	: , :
44	axiom		⊢
	proveit.logic.equality.substitution
45	instantiation	48, 49	⊢
	:
46	instantiation	54, 85, 55, 50, 51, 52*, 53*	⊢
	: , : , :
47	instantiation	54, 86, 55, 88, 56, 57*, 58*	⊢
	: , : , :
48	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
49	instantiation	59, 60	⊢
	: , :
50	instantiation	99, 91, 61	⊢
	: , : , :
51	instantiation	65, 62	⊢
	:
52	instantiation	69, 63, 64	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
54	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
56	instantiation	65, 66	⊢
	:
57	instantiation	69, 67, 68	⊢
	: , : , :
58	instantiation	69, 70, 71	⊢
	: , : , :
59	theorem		⊢
	proveit.logic.equality.unfold_not_equals
60	instantiation	72, 73	⊢
	: , :
61	instantiation	99, 95, 74	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
63	instantiation	76, 75	⊢
	:
64	instantiation	78, 75, 77	⊢
	: , :
65	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
66	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
67	instantiation	76, 79	⊢
	:
68	instantiation	78, 79, 77	⊢
	: , :
69	theorem		⊢
	proveit.logic.equality.sub_right_side_into
70	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_2
71	instantiation	78, 79, 80	⊢
	: , :
72	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
73	instantiation	81, 84, 82, 83	⊢
	: , :
74	instantiation	99, 100, 84	⊢
	: , : , :
75	instantiation	99, 87, 85	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.addition.elim_zero_right
77	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
78	theorem		⊢
	proveit.numbers.addition.commutation
79	instantiation	99, 87, 86	⊢
	: , : , :
80	instantiation	99, 87, 88	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
82	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
83	theorem		⊢
	proveit.numbers.numerals.decimals.less_4_5
84	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
85	instantiation	99, 91, 89	⊢
	: , : , :
86	instantiation	99, 91, 90	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
88	instantiation	99, 91, 92	⊢
	: , : , :
89	instantiation	99, 95, 93	⊢
	: , : , :
90	instantiation	99, 95, 94	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
92	instantiation	99, 95, 96	⊢
	: , : , :
93	instantiation	99, 100, 97	⊢
	: , : , :
94	instantiation	99, 100, 98	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
96	instantiation	99, 100, 101	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
98	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
99	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
100	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
101	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements