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	reference	8	⊢
2	instantiation	8, 4, 5	⊢
	: , : , :
3	instantiation	15, 6, 7	⊢
	: , : , :
4	instantiation	8, 9, 10	⊢
	: , : , :
5	instantiation	15, 11, 12	⊢
	: , : , :
6	instantiation	13, 45, 14	⊢
	: , : , : , : , : , :
7	instantiation	15, 16, 17	⊢
	: , : , :
8	theorem		⊢
	proveit.logic.equality.sub_left_side_into
9	instantiation	18, 45, 73, 21, 19	⊢
	: , : , : , : , :
10	instantiation	20, 45, 73, 25, 21, 26	⊢
	: , : , : , : , : , : , :
11	instantiation	24, 25, 45, 76, 26, 22	⊢
	: , : , : , : , : , : , :
12	instantiation	24, 45, 73, 25, 23, 26	⊢
	: , : , : , : , : , : , :
13	theorem		⊢
	proveit.logic.sets.enumeration.equal_element_equality
14	assumption		⊢
15	axiom		⊢
	proveit.logic.equality.equals_transitivity
16	instantiation	24, 25, 45, 26	⊢
	: , : , : , : , : , : , :
17	instantiation	24, 25, 26	⊢
	: , : , : , : , : , : , :
18	theorem		⊢
	proveit.logic.sets.enumeration.proper_subset_of_superset
19	instantiation	27, 28, 29	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
21	instantiation	37	⊢
	: , :
22	instantiation	38	⊢
	: , : , :
23	instantiation	37	⊢
	: , :
24	theorem		⊢
	proveit.logic.sets.enumeration.reduction_right
25	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
26	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
27	theorem		⊢
	proveit.logic.sets.inclusion.refined_nonmembership
28	instantiation	30, 45, 73, 31	⊢
	: , : , : , :
29	instantiation	32, 76, 33, 34, 35, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.enumeration.subset_eq_of_superset
31	instantiation	37	⊢
	: , :
32	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
33	instantiation	38	⊢
	: , : , :
34	instantiation	39, 40	⊢
	: , :
35	instantiation	44, 73, 76, 41	⊢
	: , :
36	instantiation	44, 73, 42, 43	⊢
	: , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
39	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
40	instantiation	44, 45, 73, 46	⊢
	: , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
43	instantiation	47, 64, 48, 66, 49, 50*, 51*	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
46	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
47	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
49	instantiation	52, 53	⊢
	:
50	instantiation	56, 54, 55	⊢
	: , : , :
51	instantiation	56, 57, 58	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
53	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
54	instantiation	59, 62	⊢
	:
55	instantiation	61, 62, 60	⊢
	: , :
56	theorem		⊢
	proveit.logic.equality.sub_right_side_into
57	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
58	instantiation	61, 62, 63	⊢
	: , :
59	theorem		⊢
	proveit.numbers.addition.elim_zero_right
60	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
61	theorem		⊢
	proveit.numbers.addition.commutation
62	instantiation	74, 65, 64	⊢
	: , : , :
63	instantiation	74, 65, 66	⊢
	: , : , :
64	instantiation	74, 68, 67	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
66	instantiation	74, 68, 69	⊢
	: , : , :
67	instantiation	74, 71, 70	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
69	instantiation	74, 71, 72	⊢
	: , : , :
70	instantiation	74, 75, 73	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
72	instantiation	74, 75, 76	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
74	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
75	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
76	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements