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	59	⊢
2	instantiation	5, 6, 7, 8, 9, 10, 11, 12*	⊢
	: , : , : , :
3	instantiation	63	⊢
	:
4	instantiation	37, 13	⊢
	: , :
5	theorem		⊢
	proveit.core_expr_types.tuples.general_len
6	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
7	instantiation	81	⊢
	: , : , :
8	instantiation	81	⊢
	: , : , :
9	instantiation	81	⊢
	: , : , :
10	instantiation	14, 111, 29	⊢
	: , : , :
11	instantiation	83, 15, 16	⊢
	: , : , :
12	instantiation	51, 17, 18	⊢
	: , : , :
13	instantiation	19, 20	⊢
	: , :
14	theorem		⊢
	proveit.logic.equality.sub_left_side_into
15	instantiation	21, 22	⊢
	:
16	instantiation	59, 23, 24, 25	⊢
	: , : , : , :
17	instantiation	26, 71, 27, 28, 29, 38	⊢
	: , : , : , :
18	instantiation	51, 30, 31	⊢
	: , : , :
19	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
20	instantiation	114, 32, 33	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.negation.nat_closure
22	instantiation	34, 35, 36	⊢
	:
23	instantiation	64, 65, 91, 66*	⊢
	: , :
24	instantiation	63	⊢
	:
25	instantiation	37, 38	⊢
	: , :
26	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
27	instantiation	81	⊢
	: , : , :
28	instantiation	81	⊢
	: , : , :
29	instantiation	39, 91, 43	⊢
	: , : , :
30	instantiation	67, 111, 116, 40, 91, 80, 41	⊢
	: , : , : , : , : , :
31	instantiation	42, 74, 111, 76, 91, 80, 43	⊢
	: , : , : , : , : , : , : , :
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
33	instantiation	44, 107, 45	⊢
	: , :
34	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
35	instantiation	46, 93, 108	⊢
	: , :
36	instantiation	47, 78, 96, 87, 48, 49*, 50*	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.equality.equals_reversal
38	instantiation	51, 52, 53	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
40	instantiation	82	⊢
	: , :
41	instantiation	97, 91	⊢
	:
42	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
43	instantiation	63	⊢
	:
44	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
46	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
47	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
48	instantiation	54, 107	⊢
	:
49	instantiation	90, 91, 65	⊢
	: , :
50	instantiation	55, 80, 56	⊢
	: , :
51	axiom		⊢
	proveit.logic.equality.equals_transitivity
52	instantiation	57, 58	⊢
	: , : , :
53	instantiation	59, 60, 61, 62	⊢
	: , : , : , :
54	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
55	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
56	instantiation	63	⊢
	:
57	axiom		⊢
	proveit.logic.equality.substitution
58	instantiation	64, 65, 98, 66*	⊢
	: , :
59	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
60	instantiation	67, 111, 116, 68, 69, 80, 92, 91	⊢
	: , : , : , : , : , :
61	instantiation	70, 74, 71, 76, 72, 80, 92, 91	⊢
	: , : , : , :
62	instantiation	73, 111, 116, 74, 75, 76, 80, 92, 91, 77*	⊢
	: , : , : , : , : , :
63	axiom		⊢
	proveit.logic.equality.equals_reflexivity
64	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
65	instantiation	114, 104, 78	⊢
	: , : , :
66	instantiation	79, 80	⊢
	:
67	theorem		⊢
	proveit.numbers.addition.disassociation
68	instantiation	82	⊢
	: , :
69	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
70	theorem		⊢
	proveit.numbers.addition.elim_zero_any
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
72	instantiation	81	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.addition.association
74	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
75	instantiation	82	⊢
	: , :
76	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
77	instantiation	83, 84, 85	⊢
	: , : , :
78	instantiation	114, 109, 86	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.negation.double_negation
80	instantiation	114, 104, 87	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
82	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
83	theorem		⊢
	proveit.logic.equality.sub_right_side_into
84	instantiation	88, 91, 98, 89	⊢
	: , : , :
85	instantiation	90, 91, 92	⊢
	: , :
86	instantiation	114, 112, 93	⊢
	: , : , :
87	instantiation	94, 95, 107	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
89	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
90	theorem		⊢
	proveit.numbers.addition.commutation
91	instantiation	114, 104, 96	⊢
	: , : , :
92	instantiation	97, 98	⊢
	:
93	instantiation	99, 100	⊢
	:
94	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
95	instantiation	101, 102	⊢
	: , :
96	instantiation	114, 109, 103	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.negation.complex_closure
98	instantiation	114, 104, 105	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.negation.int_closure
100	instantiation	114, 106, 107	⊢
	: , : , :
101	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
102	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
103	instantiation	114, 112, 108	⊢
	: , : , :
104	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
105	instantiation	114, 109, 110	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
107	assumption		⊢
108	instantiation	114, 115, 111	⊢
	: , : , :
109	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
110	instantiation	114, 112, 113	⊢
	: , : , :
111	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
112	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
113	instantiation	114, 115, 116	⊢
	: , : , :
114	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
115	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
116	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements