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	47	⊢
2	instantiation	3, 4, 5, 25, 59, 6, 72, 7, 60, 8, 9*, 61*	,  ⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_products
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
5	instantiation	10	⊢
	: , : , :
6	instantiation	136, 108, 11	⊢
	: , : , :
7	instantiation	116, 49	⊢
	:
8	instantiation	12, 13	,  ⊢
	:
9	instantiation	14, 15, 16, 17*	⊢
	: , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
11	instantiation	136, 18, 19	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_if_in_complex_nonzero
13	instantiation	20, 21, 22	,  ⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
15	instantiation	136, 28, 23	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
17	instantiation	24, 25	⊢
	:
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
19	instantiation	26, 27	⊢
	:
20	theorem		⊢
	proveit.logic.equality.sub_right_side_into
21	instantiation	136, 28, 29	,  ⊢
	: , : , :
22	instantiation	47, 30	⊢
	: , : , :
23	instantiation	136, 31, 32	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
25	instantiation	136, 108, 33	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
27	instantiation	34, 35, 36	⊢
	: , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
29	instantiation	136, 37, 38	,  ⊢
	: , : , :
30	instantiation	47, 39	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
32	instantiation	136, 110, 40	⊢
	: , : , :
33	instantiation	136, 114, 41	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
35	instantiation	136, 108, 42	⊢
	: , : , :
36	instantiation	43, 44	⊢
	:
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
38	instantiation	45, 46	,  ⊢
	:
39	instantiation	47, 48	⊢
	: , : , :
40	instantiation	136, 121, 49	⊢
	: , : , :
41	instantiation	136, 124, 50	⊢
	: , : , :
42	instantiation	51, 52	⊢
	:
43	theorem		⊢
	proveit.numbers.negation.complex_closure
44	instantiation	136, 108, 53	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
46	instantiation	54, 55, 56	,  ⊢
	:
47	axiom		⊢
	proveit.logic.equality.substitution
48	instantiation	57, 58, 59, 60, 61*	⊢
	: , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
50	instantiation	136, 134, 62	⊢
	: , : , :
51	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
52	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
53	instantiation	63, 68, 64	⊢
	: , :
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
55	instantiation	136, 108, 65	⊢
	: , : , :
56	instantiation	66, 67	,  ⊢
	: , :
57	theorem		⊢
	proveit.numbers.division.div_as_mult
58	instantiation	136, 108, 68	⊢
	: , : , :
59	instantiation	136, 108, 69	⊢
	: , : , :
60	instantiation	116, 82	⊢
	:
61	instantiation	70, 71, 109, 72, 105, 73*	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
63	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
64	instantiation	136, 114, 74	⊢
	: , : , :
65	instantiation	75, 76, 90, 77	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
67	instantiation	78, 79, 95, 80	,  ⊢
	: , :
68	instantiation	136, 114, 81	⊢
	: , : , :
69	instantiation	119, 120, 82	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
71	instantiation	136, 108, 104	⊢
	: , : , :
72	instantiation	136, 114, 83	⊢
	: , : , :
73	instantiation	84, 98, 85, 86*	⊢
	: , :
74	instantiation	136, 87, 88	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
76	instantiation	89, 90	⊢
	:
77	instantiation	91, 107	⊢
	:
78	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_not_eq_scaledNonzeroInt
79	instantiation	92, 93, 135, 94	⊢
	: , : , : , : , :
80	assumption		⊢
81	instantiation	136, 124, 95	⊢
	: , : , :
82	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
83	instantiation	136, 124, 96	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
85	instantiation	136, 108, 103	⊢
	: , : , :
86	instantiation	97, 98	⊢
	:
87	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
88	instantiation	99, 100, 101	⊢
	: , :
89	theorem		⊢
	proveit.numbers.negation.real_closure
90	instantiation	102, 103, 104, 105	⊢
	: , :
91	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
92	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
93	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
94	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
95	instantiation	136, 106, 107	⊢
	: , : , :
96	instantiation	132, 128	⊢
	:
97	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
98	instantiation	136, 108, 109	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
100	instantiation	136, 110, 111	⊢
	: , : , :
101	instantiation	132, 112	⊢
	:
102	theorem		⊢
	proveit.numbers.division.div_real_closure
103	instantiation	136, 114, 113	⊢
	: , : , :
104	instantiation	136, 114, 115	⊢
	: , : , :
105	instantiation	116, 122	⊢
	:
106	instantiation	117, 118, 133	⊢
	: , :
107	assumption		⊢
108	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
109	instantiation	119, 120, 123	⊢
	: , : , :
110	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
111	instantiation	136, 121, 122	⊢
	: , : , :
112	instantiation	136, 137, 123	⊢
	: , : , :
113	instantiation	136, 124, 128	⊢
	: , : , :
114	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
115	instantiation	136, 124, 125	⊢
	: , : , :
116	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
117	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
118	instantiation	126, 127, 128	⊢
	: , :
119	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
120	instantiation	129, 130	⊢
	: , :
121	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
122	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
123	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
124	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
125	instantiation	136, 134, 131	⊢
	: , : , :
126	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
127	instantiation	132, 133	⊢
	:
128	instantiation	136, 134, 135	⊢
	: , : , :
129	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
130	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
131	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
132	theorem		⊢
	proveit.numbers.negation.int_closure
133	instantiation	136, 137, 138	⊢
	: , : , :
134	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
135	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
136	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
137	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
138	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements