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