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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
2	reference	92	⊢
3	instantiation	9	⊢
	: , : , : , : , :
4	instantiation	14, 10	⊢
	: , :
5	instantiation	14, 11	⊢
	: , :
6	instantiation	14, 12	⊢
	: , :
7	instantiation	14, 13	⊢
	: , :
8	instantiation	14, 15	⊢
	: , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
10	instantiation	20, 89, 21, 16	⊢
	: , :
11	instantiation	20, 95, 21, 17	⊢
	: , :
12	instantiation	20, 91, 21, 18	⊢
	: , :
13	instantiation	20, 90, 21, 19	⊢
	: , :
14	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
15	instantiation	20, 92, 21, 22	⊢
	: , :
16	instantiation	34, 71, 35, 23, 24, 25*, 26*	⊢
	: , : , :
17	instantiation	34, 76, 35, 74, 27, 28*, 59*	⊢
	: , : , :
18	instantiation	34, 73, 35, 72, 29, 30*, 52*	⊢
	: , : , :
19	instantiation	34, 72, 35, 73, 31, 32*, 33*	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
22	instantiation	34, 74, 35, 76, 36, 37*, 38*	⊢
	: , : , :
23	instantiation	93, 81, 39	⊢
	: , : , :
24	instantiation	54, 40	⊢
	:
25	instantiation	58, 41, 42	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.add_6_1
27	instantiation	54, 43	⊢
	:
28	instantiation	58, 44, 45	⊢
	: , : , :
29	instantiation	54, 46	⊢
	:
30	instantiation	58, 47, 48	⊢
	: , : , :
31	instantiation	54, 49	⊢
	:
32	instantiation	58, 50, 51	⊢
	: , : , :
33	instantiation	58, 52, 53	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
36	instantiation	54, 55	⊢
	:
37	instantiation	58, 56, 57	⊢
	: , : , :
38	instantiation	58, 59, 60	⊢
	: , : , :
39	instantiation	93, 87, 61	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat6
41	instantiation	65, 62	⊢
	:
42	instantiation	67, 62, 66	⊢
	: , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
44	instantiation	65, 69	⊢
	:
45	instantiation	67, 69, 66	⊢
	: , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
47	instantiation	65, 64	⊢
	:
48	instantiation	67, 64, 66	⊢
	: , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
50	instantiation	65, 63	⊢
	:
51	instantiation	67, 63, 66	⊢
	: , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_3
53	instantiation	67, 63, 64	⊢
	: , :
54	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
56	instantiation	65, 68	⊢
	:
57	instantiation	67, 68, 66	⊢
	: , :
58	theorem		⊢
	proveit.logic.equality.sub_right_side_into
59	theorem		⊢
	proveit.numbers.numerals.decimals.add_5_2
60	instantiation	67, 68, 69	⊢
	: , :
61	instantiation	93, 94, 70	⊢
	: , : , :
62	instantiation	93, 75, 71	⊢
	: , : , :
63	instantiation	93, 75, 72	⊢
	: , : , :
64	instantiation	93, 75, 73	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.addition.elim_zero_right
66	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
67	theorem		⊢
	proveit.numbers.addition.commutation
68	instantiation	93, 75, 74	⊢
	: , : , :
69	instantiation	93, 75, 76	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
71	instantiation	93, 81, 77	⊢
	: , : , :
72	instantiation	93, 81, 78	⊢
	: , : , :
73	instantiation	93, 81, 79	⊢
	: , : , :
74	instantiation	93, 81, 80	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
76	instantiation	93, 81, 82	⊢
	: , : , :
77	instantiation	93, 87, 83	⊢
	: , : , :
78	instantiation	93, 87, 84	⊢
	: , : , :
79	instantiation	93, 87, 85	⊢
	: , : , :
80	instantiation	93, 87, 86	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
82	instantiation	93, 87, 88	⊢
	: , : , :
83	instantiation	93, 94, 89	⊢
	: , : , :
84	instantiation	93, 94, 90	⊢
	: , : , :
85	instantiation	93, 94, 91	⊢
	: , : , :
86	instantiation	93, 94, 92	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
88	instantiation	93, 94, 95	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
91	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
92	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
93	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
95	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements