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	theorem		⊢
	proveit.logic.sets.inclusion.transitivity_subset_subset
2	instantiation	6, 4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8	⊢
	: , : , :
4	instantiation	10, 119, 117, 15, 9	⊢
	: , : , : , : , :
5	instantiation	12, 119, 117, 13, 15, 14	⊢
	: , : , : , : , : , : , :
6	theorem		⊢
	proveit.logic.equality.sub_left_side_into
7	instantiation	10, 120, 117, 20, 11	⊢
	: , : , : , : , :
8	instantiation	12, 120, 117, 13, 20, 14	⊢
	: , : , : , : , : , : , :
9	instantiation	19, 119, 15, 16, 17, 18	⊢
	: , : , :
10	theorem		⊢
	proveit.logic.sets.enumeration.proper_subset_of_superset
11	instantiation	19, 120, 20, 21, 22, 23, 24, 25	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	26	⊢
	: , : , :
16	instantiation	35, 27	⊢
	: , :
17	instantiation	35, 28	⊢
	: , :
18	instantiation	35, 29	⊢
	: , :
19	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
20	instantiation	30	⊢
	: , : , : , : , :
21	instantiation	35, 31	⊢
	: , :
22	instantiation	35, 32	⊢
	: , :
23	instantiation	35, 33	⊢
	: , :
24	instantiation	35, 34	⊢
	: , :
25	instantiation	35, 36	⊢
	: , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
27	instantiation	44, 117, 120, 37	⊢
	: , :
28	instantiation	44, 123, 120, 38	⊢
	: , :
29	instantiation	44, 119, 120, 39	⊢
	: , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
31	instantiation	44, 117, 45, 40	⊢
	: , :
32	instantiation	44, 123, 45, 41	⊢
	: , :
33	instantiation	44, 119, 45, 42	⊢
	: , :
34	instantiation	44, 118, 45, 43	⊢
	: , :
35	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
36	instantiation	44, 120, 45, 46	⊢
	: , :
37	instantiation	60, 99, 61, 100, 55, 51*, 47*	⊢
	: , : , :
38	instantiation	60, 104, 61, 101, 57, 54*, 48*	⊢
	: , : , :
39	instantiation	60, 101, 61, 104, 62, 56*, 65*	⊢
	: , : , :
40	instantiation	60, 99, 61, 49, 50, 51*, 52*	⊢
	: , : , :
41	instantiation	60, 104, 61, 102, 53, 54*, 87*	⊢
	: , : , :
42	instantiation	60, 101, 61, 100, 55, 56*, 80*	⊢
	: , : , :
43	instantiation	60, 100, 61, 101, 57, 58*, 59*	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
46	instantiation	60, 102, 61, 104, 62, 63*, 64*	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
48	instantiation	86, 65, 66	⊢
	: , : , :
49	instantiation	121, 109, 67	⊢
	: , : , :
50	instantiation	82, 68	⊢
	:
51	instantiation	86, 69, 70	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.add_6_1
53	instantiation	82, 71	⊢
	:
54	instantiation	86, 72, 73	⊢
	: , : , :
55	instantiation	82, 74	⊢
	:
56	instantiation	86, 75, 76	⊢
	: , : , :
57	instantiation	82, 77	⊢
	:
58	instantiation	86, 78, 79	⊢
	: , : , :
59	instantiation	86, 80, 81	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
62	instantiation	82, 83	⊢
	:
63	instantiation	86, 84, 85	⊢
	: , : , :
64	instantiation	86, 87, 88	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
66	instantiation	95, 97, 92	⊢
	: , :
67	instantiation	121, 115, 89	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.numerals.decimals.posnat6
69	instantiation	93, 90	⊢
	:
70	instantiation	95, 90, 94	⊢
	: , :
71	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
72	instantiation	93, 97	⊢
	:
73	instantiation	95, 97, 94	⊢
	: , :
74	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
75	instantiation	93, 92	⊢
	:
76	instantiation	95, 92, 94	⊢
	: , :
77	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
78	instantiation	93, 91	⊢
	:
79	instantiation	95, 91, 94	⊢
	: , :
80	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_3
81	instantiation	95, 91, 92	⊢
	: , :
82	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
83	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
84	instantiation	93, 96	⊢
	:
85	instantiation	95, 96, 94	⊢
	: , :
86	theorem		⊢
	proveit.logic.equality.sub_right_side_into
87	theorem		⊢
	proveit.numbers.numerals.decimals.add_5_2
88	instantiation	95, 96, 97	⊢
	: , :
89	instantiation	121, 122, 98	⊢
	: , : , :
90	instantiation	121, 103, 99	⊢
	: , : , :
91	instantiation	121, 103, 100	⊢
	: , : , :
92	instantiation	121, 103, 101	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.addition.elim_zero_right
94	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
95	theorem		⊢
	proveit.numbers.addition.commutation
96	instantiation	121, 103, 102	⊢
	: , : , :
97	instantiation	121, 103, 104	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
99	instantiation	121, 109, 105	⊢
	: , : , :
100	instantiation	121, 109, 106	⊢
	: , : , :
101	instantiation	121, 109, 107	⊢
	: , : , :
102	instantiation	121, 109, 108	⊢
	: , : , :
103	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
104	instantiation	121, 109, 110	⊢
	: , : , :
105	instantiation	121, 115, 111	⊢
	: , : , :
106	instantiation	121, 115, 112	⊢
	: , : , :
107	instantiation	121, 115, 113	⊢
	: , : , :
108	instantiation	121, 115, 114	⊢
	: , : , :
109	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
110	instantiation	121, 115, 116	⊢
	: , : , :
111	instantiation	121, 122, 117	⊢
	: , : , :
112	instantiation	121, 122, 118	⊢
	: , : , :
113	instantiation	121, 122, 119	⊢
	: , : , :
114	instantiation	121, 122, 120	⊢
	: , : , :
115	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
116	instantiation	121, 122, 123	⊢
	: , : , :
117	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
118	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
119	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
120	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
121	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
122	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
123	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements