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	⊢
	: , :
1	reference	68	⊢
2	instantiation	56, 3, 4, 5	⊢
	: , : , : , :
3	instantiation	6, 75, 103	⊢
	: , :
4	instantiation	68, 7	⊢
	: , :
5	instantiation	68, 8	⊢
	: , :
6	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
7	instantiation	9, 21, 75, 79, 10	⊢
	: , : , :
8	instantiation	34, 11, 12	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
10	instantiation	40, 13, 14	⊢
	: , : , :
11	instantiation	34, 15, 16	⊢
	: , : , :
12	instantiation	34, 17, 18	⊢
	: , : , :
13	instantiation	34, 19, 20	⊢
	: , : , :
14	instantiation	77, 75, 21	⊢
	: , :
15	instantiation	70, 22	⊢
	: , : , :
16	instantiation	70, 23	⊢
	: , : , :
17	instantiation	34, 24, 25	⊢
	: , : , :
18	instantiation	26, 48, 146, 138, 50, 27, 54, 103, 64, 28*	⊢
	: , : , : , : , : , :
19	instantiation	47, 138, 146, 48, 29, 50, 75, 64, 79	⊢
	: , : , : , : , : , :
20	instantiation	30, 75, 79, 31	⊢
	: , : , :
21	instantiation	144, 124, 32	⊢
	: , : , :
22	instantiation	70, 45	⊢
	: , : , :
23	instantiation	70, 33	⊢
	: , : , :
24	instantiation	34, 35, 36	⊢
	: , : , :
25	instantiation	37, 48, 138, 146, 50, 38, 73, 54, 103, 64, 39	⊢
	: , : , : , : , : , : , : , :
26	theorem		⊢
	proveit.numbers.addition.association
27	instantiation	65	⊢
	: , :
28	instantiation	40, 41, 42	⊢
	: , : , :
29	instantiation	65	⊢
	: , :
30	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
31	instantiation	51	⊢
	:
32	instantiation	43, 44, 89	⊢
	: , :
33	instantiation	70, 45	⊢
	: , : , :
34	axiom		⊢
	proveit.logic.equality.equals_transitivity
35	instantiation	47, 48, 146, 138, 50, 49, 73, 54, 46	⊢
	: , : , : , : , : , :
36	instantiation	47, 146, 61, 48, 49, 62, 50, 73, 54, 63, 103, 64	⊢
	: , : , : , : , : , :
37	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
38	instantiation	65	⊢
	: , :
39	instantiation	51	⊢
	:
40	theorem		⊢
	proveit.logic.equality.sub_right_side_into
41	instantiation	52, 103, 117, 53	⊢
	: , : , :
42	instantiation	77, 103, 54	⊢
	: , :
43	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
44	instantiation	55, 87	⊢
	:
45	instantiation	56, 57, 58, 59	⊢
	: , : , : , :
46	instantiation	60, 61, 62, 63, 103, 64	⊢
	: , :
47	theorem		⊢
	proveit.numbers.addition.disassociation
48	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
49	instantiation	65	⊢
	: , :
50	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
51	axiom		⊢
	proveit.logic.equality.equals_reflexivity
52	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
53	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
54	instantiation	144, 124, 66	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.negation.real_closure
56	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
57	instantiation	70, 67	⊢
	: , : , :
58	instantiation	68, 69	⊢
	: , :
59	instantiation	70, 71	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.addition.add_complex_closure
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
62	instantiation	72	⊢
	: , : , :
63	instantiation	74, 73	⊢
	:
64	instantiation	74, 75	⊢
	:
65	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
66	instantiation	144, 131, 76	⊢
	: , : , :
67	instantiation	77, 78, 79	⊢
	: , :
68	theorem		⊢
	proveit.logic.equality.equals_reversal
69	instantiation	80, 117, 89, 88, 105	⊢
	: , : , :
70	axiom		⊢
	proveit.logic.equality.substitution
71	instantiation	81, 82, 83	⊢
	: , :
72	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
73	instantiation	84, 85, 86	⊢
	: , :
74	theorem		⊢
	proveit.numbers.negation.complex_closure
75	instantiation	144, 124, 87	⊢
	: , : , :
76	instantiation	144, 139, 137	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.addition.commutation
78	instantiation	144, 124, 88	⊢
	: , : , :
79	instantiation	144, 124, 89	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
81	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
82	instantiation	144, 90, 91	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
84	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
85	instantiation	92, 103, 93, 94	⊢
	: , :
86	instantiation	144, 124, 95	⊢
	: , : , :
87	instantiation	144, 131, 96	⊢
	: , : , :
88	instantiation	97, 98, 134	⊢
	: , : , :
89	instantiation	144, 131, 99	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
91	instantiation	144, 100, 101	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.division.div_complex_closure
93	instantiation	102, 117, 103	⊢
	: , :
94	instantiation	104, 105, 106	⊢
	: , : , :
95	instantiation	144, 131, 107	⊢
	: , : , :
96	instantiation	144, 139, 108	⊢
	: , : , :
97	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
98	instantiation	109, 110	⊢
	: , :
99	instantiation	144, 139, 111	⊢
	: , : , :
100	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
101	instantiation	144, 112, 113	⊢
	: , : , :
102	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
103	instantiation	144, 124, 114	⊢
	: , : , :
104	theorem		⊢
	proveit.logic.equality.sub_left_side_into
105	instantiation	115, 122	⊢
	:
106	instantiation	116, 117	⊢
	:
107	instantiation	144, 139, 118	⊢
	: , : , :
108	instantiation	144, 119, 120	⊢
	: , : , :
109	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
110	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
111	instantiation	142, 130	⊢
	:
112	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
113	instantiation	144, 121, 122	⊢
	: , : , :
114	instantiation	144, 131, 123	⊢
	: , : , :
115	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
116	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
117	instantiation	144, 124, 125	⊢
	: , : , :
118	instantiation	126, 143, 127	⊢
	: , :
119	instantiation	128, 130, 129	⊢
	: , :
120	assumption		⊢
121	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
122	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
123	instantiation	144, 139, 130	⊢
	: , : , :
124	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
125	instantiation	144, 131, 132	⊢
	: , : , :
126	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
127	instantiation	144, 133, 134	⊢
	: , : , :
128	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
129	instantiation	135, 136, 137	⊢
	: , :
130	instantiation	144, 145, 138	⊢
	: , : , :
131	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
132	instantiation	144, 139, 143	⊢
	: , : , :
133	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
134	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
135	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
136	instantiation	144, 140, 141	⊢
	: , : , :
137	instantiation	142, 143	⊢
	:
138	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
139	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
140	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
141	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
142	theorem		⊢
	proveit.numbers.negation.int_closure
143	instantiation	144, 145, 146	⊢
	: , : , :
144	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
145	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
146	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements