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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.sets.unification.nonmembership_folding
2	reference	54	⊢
3	instantiation	18	⊢
	: , :
4	instantiation	10, 85, 6, 7, 8, 9	⊢
	: , : , :
5	instantiation	10, 89, 11, 12, 13	⊢
	: , : , :
6	instantiation	14	⊢
	: , : , :
7	instantiation	20, 15	⊢
	: , :
8	instantiation	20, 16	⊢
	: , :
9	instantiation	20, 17	⊢
	: , :
10	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
11	instantiation	18	⊢
	: , :
12	instantiation	20, 19	⊢
	: , :
13	instantiation	20, 21	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15	instantiation	26, 84, 27, 22	⊢
	: , :
16	instantiation	26, 89, 27, 23	⊢
	: , :
17	instantiation	26, 85, 27, 24	⊢
	: , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	instantiation	26, 86, 27, 25	⊢
	: , :
20	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
21	instantiation	26, 68, 27, 28	⊢
	: , :
22	instantiation	38, 69, 39, 29, 30, 31*, 32*	⊢
	: , : , :
23	instantiation	38, 73, 39, 71, 33, 34*, 58*	⊢
	: , : , :
24	instantiation	38, 70, 39, 35, 36*, 37*	⊢
	: , : , :
25	instantiation	38, 71, 39, 73, 40, 41*, 42*	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
28	theorem		⊢
	proveit.numbers.numerals.decimals.less_5_6
29	instantiation	87, 77, 43	⊢
	: , : , :
30	instantiation	53, 44	⊢
	:
31	instantiation	57, 45, 46	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.add_5_1
33	instantiation	53, 47	⊢
	:
34	instantiation	57, 48, 49	⊢
	: , : , :
35	instantiation	53, 50	⊢
	:
36	instantiation	57, 51, 52	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_3
38	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
40	instantiation	53, 54	⊢
	:
41	instantiation	57, 55, 56	⊢
	: , : , :
42	instantiation	57, 58, 59	⊢
	: , : , :
43	instantiation	87, 82, 60	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
45	instantiation	63, 61	⊢
	:
46	instantiation	65, 61, 64	⊢
	: , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
48	instantiation	63, 67	⊢
	:
49	instantiation	65, 67, 64	⊢
	: , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
51	instantiation	63, 62	⊢
	:
52	instantiation	65, 62, 64	⊢
	: , :
53	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
54	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
55	instantiation	63, 66	⊢
	:
56	instantiation	65, 66, 64	⊢
	: , :
57	theorem		⊢
	proveit.logic.equality.sub_right_side_into
58	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_2
59	instantiation	65, 66, 67	⊢
	: , :
60	instantiation	87, 88, 68	⊢
	: , : , :
61	instantiation	87, 72, 69	⊢
	: , : , :
62	instantiation	87, 72, 70	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.addition.elim_zero_right
64	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
65	theorem		⊢
	proveit.numbers.addition.commutation
66	instantiation	87, 72, 71	⊢
	: , : , :
67	instantiation	87, 72, 73	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
69	instantiation	87, 77, 74	⊢
	: , : , :
70	instantiation	87, 77, 75	⊢
	: , : , :
71	instantiation	87, 77, 76	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
73	instantiation	87, 77, 78	⊢
	: , : , :
74	instantiation	87, 82, 79	⊢
	: , : , :
75	instantiation	87, 82, 80	⊢
	: , : , :
76	instantiation	87, 82, 81	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
78	instantiation	87, 82, 83	⊢
	: , : , :
79	instantiation	87, 88, 84	⊢
	: , : , :
80	instantiation	87, 88, 85	⊢
	: , : , :
81	instantiation	87, 88, 86	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
83	instantiation	87, 88, 89	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
85	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
86	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
87	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
88	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
89	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements