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, 5, 6, 7, 8, 9, 10, 11*, 12*	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_products
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
3	instantiation	13	⊢
	: , : , :
4	reference	28	⊢
5	reference	62	⊢
6	instantiation	139, 111, 14	⊢
	: , : , :
7	reference	75	⊢
8	instantiation	119, 52	⊢
	:
9	reference	63	⊢
10	instantiation	15, 16	,  ⊢
	:
11	instantiation	17, 18, 19, 20*	⊢
	: , :
12	reference	64	⊢
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	instantiation	139, 21, 22	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_if_in_complex_nonzero
16	instantiation	23, 24, 25	,  ⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
18	instantiation	139, 31, 26	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
20	instantiation	27, 28	⊢
	:
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
22	instantiation	29, 30	⊢
	:
23	theorem		⊢
	proveit.logic.equality.sub_right_side_into
24	instantiation	139, 31, 32	,  ⊢
	: , : , :
25	instantiation	50, 33	⊢
	: , : , :
26	instantiation	139, 34, 35	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
28	instantiation	139, 111, 36	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
30	instantiation	37, 38, 39	⊢
	: , :
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
32	instantiation	139, 40, 41	,  ⊢
	: , : , :
33	instantiation	50, 42	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
35	instantiation	139, 113, 43	⊢
	: , : , :
36	instantiation	139, 117, 44	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
38	instantiation	139, 111, 45	⊢
	: , : , :
39	instantiation	46, 47	⊢
	:
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
41	instantiation	48, 49	,  ⊢
	:
42	instantiation	50, 51	⊢
	: , : , :
43	instantiation	139, 124, 52	⊢
	: , : , :
44	instantiation	139, 127, 53	⊢
	: , : , :
45	instantiation	54, 55	⊢
	:
46	theorem		⊢
	proveit.numbers.negation.complex_closure
47	instantiation	139, 111, 56	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
49	instantiation	57, 58, 59	,  ⊢
	:
50	axiom		⊢
	proveit.logic.equality.substitution
51	instantiation	60, 61, 62, 63, 64*	⊢
	: , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
53	instantiation	139, 137, 65	⊢
	: , : , :
54	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
55	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
56	instantiation	66, 71, 67	⊢
	: , :
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
58	instantiation	139, 111, 68	⊢
	: , : , :
59	instantiation	69, 70	,  ⊢
	: , :
60	theorem		⊢
	proveit.numbers.division.div_as_mult
61	instantiation	139, 111, 71	⊢
	: , : , :
62	instantiation	139, 111, 72	⊢
	: , : , :
63	instantiation	119, 85	⊢
	:
64	instantiation	73, 74, 112, 75, 108, 76*	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
66	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
67	instantiation	139, 117, 77	⊢
	: , : , :
68	instantiation	78, 79, 93, 80	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
70	instantiation	81, 82, 98, 83	,  ⊢
	: , :
71	instantiation	139, 117, 84	⊢
	: , : , :
72	instantiation	122, 123, 85	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
74	instantiation	139, 111, 107	⊢
	: , : , :
75	instantiation	139, 117, 86	⊢
	: , : , :
76	instantiation	87, 101, 88, 89*	⊢
	: , :
77	instantiation	139, 90, 91	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
79	instantiation	92, 93	⊢
	:
80	instantiation	94, 110	⊢
	:
81	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_not_eq_scaledNonzeroInt
82	instantiation	95, 96, 138, 97	⊢
	: , : , : , : , :
83	assumption		⊢
84	instantiation	139, 127, 98	⊢
	: , : , :
85	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
86	instantiation	139, 127, 99	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
88	instantiation	139, 111, 106	⊢
	: , : , :
89	instantiation	100, 101	⊢
	:
90	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
91	instantiation	102, 103, 104	⊢
	: , :
92	theorem		⊢
	proveit.numbers.negation.real_closure
93	instantiation	105, 106, 107, 108	⊢
	: , :
94	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
95	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
96	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
97	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
98	instantiation	139, 109, 110	⊢
	: , : , :
99	instantiation	135, 131	⊢
	:
100	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
101	instantiation	139, 111, 112	⊢
	: , : , :
102	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
103	instantiation	139, 113, 114	⊢
	: , : , :
104	instantiation	135, 115	⊢
	:
105	theorem		⊢
	proveit.numbers.division.div_real_closure
106	instantiation	139, 117, 116	⊢
	: , : , :
107	instantiation	139, 117, 118	⊢
	: , : , :
108	instantiation	119, 125	⊢
	:
109	instantiation	120, 121, 136	⊢
	: , :
110	assumption		⊢
111	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
112	instantiation	122, 123, 126	⊢
	: , : , :
113	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
114	instantiation	139, 124, 125	⊢
	: , : , :
115	instantiation	139, 140, 126	⊢
	: , : , :
116	instantiation	139, 127, 131	⊢
	: , : , :
117	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
118	instantiation	139, 127, 128	⊢
	: , : , :
119	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
120	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
121	instantiation	129, 130, 131	⊢
	: , :
122	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
123	instantiation	132, 133	⊢
	: , :
124	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
125	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
126	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
127	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
128	instantiation	139, 137, 134	⊢
	: , : , :
129	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
130	instantiation	135, 136	⊢
	:
131	instantiation	139, 137, 138	⊢
	: , : , :
132	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
133	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
134	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
135	theorem		⊢
	proveit.numbers.negation.int_closure
136	instantiation	139, 140, 141	⊢
	: , : , :
137	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
138	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
139	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
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
*equality replacement requirements