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	84	⊢
2	instantiation	4, 5, 6, 7, 8, 44, 9, 10	⊢
	: , : , : , :
3	instantiation	84, 11, 12	⊢
	: , : , :
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
6	instantiation	13	⊢
	: , : , : , : , :
7	instantiation	13	⊢
	: , : , : , : , :
8	instantiation	61, 76, 78, 62	⊢
	: , : , :
9	instantiation	84, 14, 15	⊢
	: , : , :
10	instantiation	84, 16, 17	⊢
	: , : , :
11	instantiation	40, 18, 70, 69, 19, 41, 71, 78, 82	⊢
	: , : , : , : , : , :
12	instantiation	24, 20, 21, 22	⊢
	: , : , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
14	instantiation	94, 23	⊢
	: , : , :
15	instantiation	24, 25, 26, 27	⊢
	: , : , : , :
16	instantiation	40, 69, 70, 71, 41, 58, 78, 82, 59, 76	⊢
	: , : , : , : , : , :
17	instantiation	28, 70, 69, 41, 71, 78, 82, 76	⊢
	: , : , : , : , : , : , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
19	instantiation	29	⊢
	: , : , : , :
20	instantiation	84, 30, 31	⊢
	: , : , :
21	instantiation	68, 69, 100, 71, 32, 34, 78, 82, 33*	⊢
	: , : , : , : , : , :
22	instantiation	68, 114, 100, 69, 34, 71, 35, 82, 36*	⊢
	: , : , : , : , : , :
23	instantiation	37, 78, 76	⊢
	: , :
24	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
25	instantiation	40, 69, 70, 71, 41, 38, 78, 82, 39, 76	⊢
	: , : , : , : , : , :
26	instantiation	40, 70, 114, 41, 42, 78, 82, 56, 59, 76	⊢
	: , : , : , : , : , :
27	instantiation	84, 43, 44	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general_rev
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
30	instantiation	46, 114, 100, 45, 78, 82	⊢
	: , : , : , : , : , : , :
31	instantiation	46, 70, 114, 47, 48, 78, 82	⊢
	: , : , : , : , : , : , :
32	instantiation	80	⊢
	: , : , :
33	instantiation	52, 49, 54*	⊢
	: , :
34	instantiation	80	⊢
	: , : , :
35	instantiation	50, 51, 78	⊢
	: , :
36	instantiation	52, 53, 54*	⊢
	: , :
37	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
38	instantiation	83	⊢
	: , :
39	instantiation	55, 56, 59	⊢
	: , :
40	theorem		⊢
	proveit.numbers.addition.disassociation
41	instantiation	83	⊢
	: , :
42	instantiation	83	⊢
	: , :
43	instantiation	57, 69, 114, 70, 71, 58, 78, 82, 59, 76, 60	⊢
	: , : , : , : , : , : , : , :
44	instantiation	61, 76, 82, 62	⊢
	: , : , :
45	instantiation	80	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.addition.leftward_commutation
47	instantiation	83	⊢
	: , :
48	instantiation	83	⊢
	: , :
49	instantiation	65, 69, 100, 114, 71, 66, 76, 78, 63*	⊢
	: , : , : , : , : , :
50	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
51	instantiation	112, 92, 64	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.equality.equals_reversal
53	instantiation	65, 69, 100, 114, 71, 66, 76, 82, 67*	⊢
	: , : , : , : , : , :
54	instantiation	68, 69, 70, 114, 71, 72, 76, 73*	⊢
	: , : , : , : , : , :
55	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
56	instantiation	112, 92, 74	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
58	instantiation	83	⊢
	: , :
59	instantiation	75, 76	⊢
	:
60	instantiation	77	⊢
	:
61	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
62	instantiation	77	⊢
	:
63	instantiation	81, 78	⊢
	:
64	instantiation	112, 98, 79	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
66	instantiation	80	⊢
	: , : , :
67	instantiation	81, 82	⊢
	:
68	theorem		⊢
	proveit.numbers.addition.association
69	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
70	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
71	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
72	instantiation	83	⊢
	: , :
73	instantiation	84, 85, 86	⊢
	: , : , :
74	instantiation	112, 87, 88	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.negation.complex_closure
76	instantiation	112, 92, 89	⊢
	: , : , :
77	axiom		⊢
	proveit.logic.equality.equals_reflexivity
78	instantiation	112, 92, 90	⊢
	: , : , :
79	instantiation	112, 106, 91	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
81	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
82	instantiation	112, 92, 93	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
84	axiom		⊢
	proveit.logic.equality.equals_transitivity
85	instantiation	94, 95	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
87	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
88	instantiation	112, 96, 97	⊢
	: , : , :
89	instantiation	112, 98, 99	⊢
	: , : , :
90	instantiation	101, 102, 111	⊢
	: , : , :
91	instantiation	112, 113, 100	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
93	instantiation	101, 102, 103	⊢
	: , : , :
94	axiom		⊢
	proveit.logic.equality.substitution
95	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
96	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
97	instantiation	112, 104, 105	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
99	instantiation	112, 106, 107	⊢
	: , : , :
100	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
101	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
102	instantiation	108, 109	⊢
	: , :
103	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
104	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
105	instantiation	110, 111	⊢
	:
106	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
107	instantiation	112, 113, 114	⊢
	: , : , :
108	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
109	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
110	theorem		⊢
	proveit.numbers.negation.int_neg_closure
111	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
112	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
113	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
114	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements