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.refined_nonmembership
2	instantiation	4, 5	⊢
	: , :
3	instantiation	32, 70, 6, 7, 8, 9, 10, 11	⊢
	: , : , :
4	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
5	instantiation	12, 13, 14	⊢
	: , : , :
6	instantiation	15	⊢
	: , : , : , : , :
7	instantiation	46, 16	⊢
	: , :
8	instantiation	46, 17	⊢
	: , :
9	instantiation	46, 18	⊢
	: , :
10	instantiation	46, 19	⊢
	: , :
11	instantiation	46, 20	⊢
	: , :
12	theorem		⊢
	proveit.logic.equality.sub_left_side_into
13	instantiation	21, 110, 106, 33, 22	⊢
	: , : , : , : , :
14	instantiation	23, 110, 106, 24, 33, 25	⊢
	: , : , : , : , : , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
16	instantiation	56, 106, 30, 26	⊢
	: , :
17	instantiation	56, 107, 30, 27	⊢
	: , :
18	instantiation	56, 110, 30, 28	⊢
	: , :
19	instantiation	56, 97, 30, 29	⊢
	: , :
20	instantiation	56, 70, 30, 31	⊢
	: , :
21	theorem		⊢
	proveit.logic.sets.enumeration.proper_subset_of_superset
22	instantiation	32, 110, 33, 34, 35, 36	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
24	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
25	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
26	instantiation	66, 93, 67, 37, 38, 61*, 39*	⊢
	: , : , :
27	instantiation	66, 94, 67, 71, 60, 64*, 40*	⊢
	: , : , :
28	instantiation	66, 96, 67, 63, 69*, 41*	⊢
	: , : , :
29	instantiation	66, 71, 67, 94, 68, 42*, 50*	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
31	theorem		⊢
	proveit.numbers.numerals.decimals.less_5_6
32	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
33	instantiation	43	⊢
	: , : , :
34	instantiation	46, 44	⊢
	: , :
35	instantiation	46, 45	⊢
	: , :
36	instantiation	46, 47	⊢
	: , :
37	instantiation	108, 100, 48	⊢
	: , : , :
38	instantiation	80, 49	⊢
	:
39	theorem		⊢
	proveit.numbers.numerals.decimals.add_5_1
40	instantiation	82, 50, 51	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_3
42	instantiation	82, 52, 53	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
44	instantiation	56, 106, 70, 54	⊢
	: , :
45	instantiation	56, 107, 70, 55	⊢
	: , :
46	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
47	instantiation	56, 110, 70, 57	⊢
	: , :
48	instantiation	108, 104, 58	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
50	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_4
51	instantiation	89, 87, 59	⊢
	: , :
52	instantiation	88, 59	⊢
	:
53	instantiation	89, 59, 91	⊢
	: , :
54	instantiation	66, 93, 67, 71, 60, 61*, 62*	⊢
	: , : , :
55	instantiation	66, 94, 67, 96, 63, 64*, 65*	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
57	instantiation	66, 96, 67, 94, 68, 69*, 78*	⊢
	: , : , :
58	instantiation	108, 109, 70	⊢
	: , : , :
59	instantiation	108, 95, 71	⊢
	: , : , :
60	instantiation	80, 72	⊢
	:
61	instantiation	82, 73, 74	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
63	instantiation	80, 75	⊢
	:
64	instantiation	82, 76, 77	⊢
	: , : , :
65	instantiation	82, 78, 79	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
68	instantiation	80, 81	⊢
	:
69	instantiation	82, 83, 84	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
71	instantiation	108, 100, 85	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
73	instantiation	88, 86	⊢
	:
74	instantiation	89, 86, 91	⊢
	: , :
75	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
76	instantiation	88, 87	⊢
	:
77	instantiation	89, 87, 91	⊢
	: , :
78	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
79	instantiation	89, 87, 90	⊢
	: , :
80	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
81	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
82	theorem		⊢
	proveit.logic.equality.sub_right_side_into
83	instantiation	88, 90	⊢
	:
84	instantiation	89, 90, 91	⊢
	: , :
85	instantiation	108, 104, 92	⊢
	: , : , :
86	instantiation	108, 95, 93	⊢
	: , : , :
87	instantiation	108, 95, 94	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.addition.elim_zero_right
89	theorem		⊢
	proveit.numbers.addition.commutation
90	instantiation	108, 95, 96	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
92	instantiation	108, 109, 97	⊢
	: , : , :
93	instantiation	108, 100, 98	⊢
	: , : , :
94	instantiation	108, 100, 99	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
96	instantiation	108, 100, 101	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
98	instantiation	108, 104, 102	⊢
	: , : , :
99	instantiation	108, 104, 103	⊢
	: , : , :
100	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
101	instantiation	108, 104, 105	⊢
	: , : , :
102	instantiation	108, 109, 106	⊢
	: , : , :
103	instantiation	108, 109, 107	⊢
	: , : , :
104	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
105	instantiation	108, 109, 110	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
107	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
108	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
109	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
110	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements