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	⊢
	: , : , : , :
1	reference	66	⊢
2	instantiation	5, 6, 7, 8, 9, 10, 11, 12*	⊢
	: , : , : , :
3	instantiation	73	⊢
	:
4	instantiation	39, 13	⊢
	: , :
5	theorem		⊢
	proveit.core_expr_types.tuples.general_len
6	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
7	instantiation	91	⊢
	: , : , :
8	instantiation	91	⊢
	: , : , :
9	instantiation	91	⊢
	: , : , :
10	instantiation	14, 121, 29	⊢
	: , : , :
11	instantiation	93, 15, 16	⊢
	: , : , :
12	instantiation	55, 17, 18	⊢
	: , : , :
13	instantiation	93, 19, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.logic.equality.sub_left_side_into
15	instantiation	21, 22	⊢
	:
16	instantiation	66, 23, 24, 25	⊢
	: , : , : , :
17	instantiation	26, 81, 27, 28, 29, 40	⊢
	: , : , : , :
18	instantiation	55, 30, 31	⊢
	: , : , :
19	instantiation	32, 33	⊢
	: , : , :
20	instantiation	55, 34, 35	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.negation.nat_closure
22	instantiation	36, 37, 38	⊢
	:
23	instantiation	74, 75, 101, 76*	⊢
	: , :
24	instantiation	73	⊢
	:
25	instantiation	39, 40	⊢
	: , :
26	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
27	instantiation	91	⊢
	: , : , :
28	instantiation	91	⊢
	: , : , :
29	instantiation	41, 101, 45	⊢
	: , : , :
30	instantiation	77, 121, 126, 42, 101, 90, 43	⊢
	: , : , : , : , : , :
31	instantiation	44, 84, 121, 86, 101, 90, 45	⊢
	: , : , : , : , : , : , : , :
32	theorem		⊢
	proveit.core_expr_types.tuples.range_len
33	instantiation	46, 81, 47, 48, 49, 121	⊢
	: , :
34	instantiation	64, 72	⊢
	: , : , :
35	instantiation	80, 121, 90, 101	⊢
	: , : , : , :
36	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
37	instantiation	50, 103, 118	⊢
	: , :
38	instantiation	51, 88, 106, 97, 52, 53*, 54*	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.equality.equals_reversal
40	instantiation	55, 56, 57	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
42	instantiation	92	⊢
	: , :
43	instantiation	107, 101	⊢
	:
44	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
45	instantiation	73	⊢
	:
46	theorem		⊢
	proveit.numbers.addition.add_nat_closure
47	instantiation	91	⊢
	: , : , :
48	instantiation	124, 58, 117	⊢
	: , : , :
49	instantiation	104, 59, 60	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
51	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
52	instantiation	61, 117	⊢
	:
53	instantiation	100, 101, 75	⊢
	: , :
54	instantiation	62, 90, 63	⊢
	: , :
55	axiom		⊢
	proveit.logic.equality.equals_transitivity
56	instantiation	64, 65	⊢
	: , : , :
57	instantiation	66, 67, 68, 69	⊢
	: , : , : , :
58	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
59	instantiation	111, 70	⊢
	: , :
60	instantiation	71, 72	⊢
	: , :
61	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
62	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
63	instantiation	73	⊢
	:
64	axiom		⊢
	proveit.logic.equality.substitution
65	instantiation	74, 75, 108, 76*	⊢
	: , :
66	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
67	instantiation	77, 121, 126, 78, 79, 90, 102, 101	⊢
	: , : , : , : , : , :
68	instantiation	80, 84, 81, 86, 82, 90, 102, 101	⊢
	: , : , : , :
69	instantiation	83, 121, 126, 84, 85, 86, 90, 102, 101, 87*	⊢
	: , : , : , : , : , :
70	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.zero_set_within_nat
71	theorem		⊢
	proveit.logic.sets.enumeration.fold_singleton
72	theorem		⊢
	proveit.numbers.negation.negated_zero
73	axiom		⊢
	proveit.logic.equality.equals_reflexivity
74	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
75	instantiation	124, 114, 88	⊢
	: , : , :
76	instantiation	89, 90	⊢
	:
77	theorem		⊢
	proveit.numbers.addition.disassociation
78	instantiation	92	⊢
	: , :
79	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
80	theorem		⊢
	proveit.numbers.addition.elim_zero_any
81	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
82	instantiation	91	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.addition.association
84	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
85	instantiation	92	⊢
	: , :
86	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
87	instantiation	93, 94, 95	⊢
	: , : , :
88	instantiation	124, 119, 96	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.negation.double_negation
90	instantiation	124, 114, 97	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
92	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
93	theorem		⊢
	proveit.logic.equality.sub_right_side_into
94	instantiation	98, 101, 108, 99	⊢
	: , : , :
95	instantiation	100, 101, 102	⊢
	: , :
96	instantiation	124, 122, 103	⊢
	: , : , :
97	instantiation	104, 105, 117	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
99	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
100	theorem		⊢
	proveit.numbers.addition.commutation
101	instantiation	124, 114, 106	⊢
	: , : , :
102	instantiation	107, 108	⊢
	:
103	instantiation	109, 110	⊢
	:
104	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
105	instantiation	111, 112	⊢
	: , :
106	instantiation	124, 119, 113	⊢
	: , : , :
107	theorem		⊢
	proveit.numbers.negation.complex_closure
108	instantiation	124, 114, 115	⊢
	: , : , :
109	theorem		⊢
	proveit.numbers.negation.int_closure
110	instantiation	124, 116, 117	⊢
	: , : , :
111	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
112	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
113	instantiation	124, 122, 118	⊢
	: , : , :
114	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
115	instantiation	124, 119, 120	⊢
	: , : , :
116	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
117	assumption		⊢
118	instantiation	124, 125, 121	⊢
	: , : , :
119	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
120	instantiation	124, 122, 123	⊢
	: , : , :
121	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
122	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
123	instantiation	124, 125, 126	⊢
	: , : , :
124	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
125	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
126	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements