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	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	20, 3, 4	,  ⊢
	: , : , :
3	instantiation	68, 5	⊢
	: , : , :
4	instantiation	76, 104, 6, 7, 8*	,  ⊢
	: , :
5	instantiation	68, 51	⊢
	: , : , :
6	instantiation	49, 9, 10	⊢
	: , : , :
7	instantiation	11, 33, 28, 42, 12, 40	,  ⊢
	: , :
8	instantiation	20, 13, 14	,  ⊢
	: , : , :
9	instantiation	15, 16, 47	⊢
	: , :
10	instantiation	31, 113, 149, 159, 114, 17, 89, 78, 47	⊢
	: , : , : , : , : , :
11	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
12	instantiation	160, 55, 18	⊢
	: , : , :
13	instantiation	68, 19	,  ⊢
	: , : , :
14	instantiation	20, 21, 22	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
16	instantiation	160, 124, 23	⊢
	: , : , :
17	instantiation	24	⊢
	: , :
18	instantiation	160, 58, 25	⊢
	: , : , :
19	instantiation	26, 27, 28, 89, 78, 47, 90, 123, 79, 29, 30*, 80*	,  ⊢
	: , : , :
20	axiom		⊢
	proveit.logic.equality.equals_transitivity
21	instantiation	31, 159, 33, 113, 34, 114, 104, 35, 36, 37	⊢
	: , : , : , : , : , :
22	instantiation	32, 113, 33, 114, 34, 35, 36, 37	⊢
	: , : , : , :
23	instantiation	106, 122, 87	⊢
	: , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	instantiation	160, 146, 38	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_products
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
28	instantiation	45	⊢
	: , : , :
29	instantiation	39, 40	,  ⊢
	:
30	instantiation	41, 42, 43, 44*	⊢
	: , :
31	theorem		⊢
	proveit.numbers.multiplication.disassociation
32	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
34	instantiation	45	⊢
	: , : , :
35	instantiation	160, 124, 110	⊢
	: , : , :
36	instantiation	160, 124, 108	⊢
	: , : , :
37	instantiation	46, 47, 48	⊢
	: , :
38	instantiation	160, 153, 101	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_if_in_complex_nonzero
40	instantiation	49, 50, 51	,  ⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
42	instantiation	160, 55, 52	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
44	instantiation	53, 89	⊢
	:
45	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
46	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
47	instantiation	160, 124, 54	⊢
	: , : , :
48	instantiation	160, 124, 90	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.equality.sub_right_side_into
50	instantiation	160, 55, 56	,  ⊢
	: , : , :
51	instantiation	68, 57	⊢
	: , : , :
52	instantiation	160, 58, 138	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
54	instantiation	160, 59, 60	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
56	instantiation	160, 61, 62	,  ⊢
	: , : , :
57	instantiation	68, 63	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
60	instantiation	64, 65	⊢
	:
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
62	instantiation	66, 67	,  ⊢
	:
63	instantiation	68, 69	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
65	instantiation	70, 71, 72	⊢
	: , :
66	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
67	instantiation	73, 74, 75	,  ⊢
	:
68	axiom		⊢
	proveit.logic.equality.substitution
69	instantiation	76, 77, 78, 79, 80*	⊢
	: , :
70	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
71	instantiation	160, 124, 81	⊢
	: , : , :
72	instantiation	82, 83	⊢
	:
73	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
74	instantiation	160, 124, 84	⊢
	: , : , :
75	instantiation	85, 86	,  ⊢
	: , :
76	theorem		⊢
	proveit.numbers.division.div_as_mult
77	instantiation	160, 124, 107	⊢
	: , : , :
78	instantiation	160, 124, 87	⊢
	: , : , :
79	instantiation	132, 101	⊢
	:
80	instantiation	88, 89, 125, 90, 123, 91*	⊢
	: , : , :
81	instantiation	92, 93	⊢
	:
82	theorem		⊢
	proveit.numbers.negation.complex_closure
83	instantiation	160, 124, 94	⊢
	: , : , :
84	instantiation	95, 96, 110, 97	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
86	instantiation	98, 99, 126, 100	,  ⊢
	: , :
87	instantiation	133, 134, 101	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
89	instantiation	160, 124, 122	⊢
	: , : , :
90	instantiation	160, 130, 102	⊢
	: , : , :
91	instantiation	103, 117, 104, 105*	⊢
	: , :
92	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
93	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
94	instantiation	106, 107, 108	⊢
	: , :
95	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
96	instantiation	109, 110	⊢
	:
97	instantiation	111, 136	⊢
	:
98	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_not_eq_scaledNonzeroInt
99	instantiation	112, 113, 159, 114	⊢
	: , : , : , : , :
100	assumption		⊢
101	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
102	instantiation	160, 140, 115	⊢
	: , : , :
103	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
104	instantiation	160, 124, 121	⊢
	: , : , :
105	instantiation	116, 117	⊢
	:
106	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
107	instantiation	160, 130, 118	⊢
	: , : , :
108	instantiation	160, 130, 119	⊢
	: , : , :
109	theorem		⊢
	proveit.numbers.negation.real_closure
110	instantiation	120, 121, 122, 123	⊢
	: , :
111	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
112	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
113	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
114	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
115	instantiation	156, 152	⊢
	:
116	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
117	instantiation	160, 124, 125	⊢
	: , : , :
118	instantiation	160, 140, 126	⊢
	: , : , :
119	instantiation	160, 127, 128	⊢
	: , : , :
120	theorem		⊢
	proveit.numbers.division.div_real_closure
121	instantiation	160, 130, 129	⊢
	: , : , :
122	instantiation	160, 130, 131	⊢
	: , : , :
123	instantiation	132, 154	⊢
	:
124	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
125	instantiation	133, 134, 155	⊢
	: , : , :
126	instantiation	160, 135, 136	⊢
	: , : , :
127	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
128	instantiation	137, 138, 139	⊢
	: , :
129	instantiation	160, 140, 152	⊢
	: , : , :
130	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
131	instantiation	160, 140, 141	⊢
	: , : , :
132	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
133	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
134	instantiation	142, 143	⊢
	: , :
135	instantiation	144, 145, 157	⊢
	: , :
136	assumption		⊢
137	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
138	instantiation	160, 146, 147	⊢
	: , : , :
139	instantiation	156, 148	⊢
	:
140	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
141	instantiation	160, 158, 149	⊢
	: , : , :
142	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
143	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
144	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
145	instantiation	150, 151, 152	⊢
	: , :
146	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
147	instantiation	160, 153, 154	⊢
	: , : , :
148	instantiation	160, 161, 155	⊢
	: , : , :
149	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
150	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
151	instantiation	156, 157	⊢
	:
152	instantiation	160, 158, 159	⊢
	: , : , :
153	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
154	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
155	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
156	theorem		⊢
	proveit.numbers.negation.int_closure
157	instantiation	160, 161, 162	⊢
	: , : , :
158	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
159	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
160	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
161	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
162	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements