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