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*	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	5, 6, 7	⊢
	: , : , :
3	instantiation	8, 44	⊢
	:
4	instantiation	9, 10, 11, 56, 12, 13, 14, 15, 16	⊢
	: , : , : , : , : , :
5	theorem		⊢
	proveit.logic.equality.sub_left_side_into
6	instantiation	17, 41	⊢
	:
7	instantiation	18, 44, 45	⊢
	: , :
8	theorem		⊢
	proveit.physics.quantum.QPE._phase_from_best_with_delta_b
9	theorem		⊢
	proveit.numbers.addition.disassociation
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	19	⊢
	: , :
14	instantiation	26, 20, 28, 29	⊢
	: , :
15	instantiation	57, 32, 21	⊢
	: , : , :
16	instantiation	22, 23	⊢
	:
17	theorem		⊢
	proveit.physics.quantum.QPE._alpha_m_mod_as_geometric_sum
18	axiom		⊢
	proveit.physics.quantum.QPE._mod_add_def
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	instantiation	57, 32, 24	⊢
	: , : , :
21	instantiation	25, 44	⊢
	:
22	theorem		⊢
	proveit.numbers.negation.complex_closure
23	instantiation	26, 27, 28, 29	⊢
	: , :
24	instantiation	57, 35, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
26	theorem		⊢
	proveit.numbers.division.div_complex_closure
27	instantiation	57, 32, 31	⊢
	: , : , :
28	instantiation	57, 32, 33	⊢
	: , : , :
29	instantiation	34, 39	⊢
	:
30	instantiation	57, 40, 44	⊢
	: , : , :
31	instantiation	57, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	37, 38, 39	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	57, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
38	instantiation	42, 43	⊢
	: , :
39	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	50, 44, 45	⊢
	: , :
42	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
44	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
45	instantiation	57, 46, 47	⊢
	: , : , :
46	instantiation	48, 49, 54	⊢
	: , :
47	assumption		⊢
48	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
49	instantiation	50, 51, 52	⊢
	: , :
50	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
51	instantiation	53, 54	⊢
	:
52	instantiation	57, 55, 56	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.negation.int_closure
54	instantiation	57, 58, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
57	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
59	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements