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