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	reference	5	⊢
2	instantiation	5, 6, 7, 8*	⊢
	: , : , :
3	instantiation	9, 10, 11, 47, 50, 51, 52	⊢
	: , : , :
4	instantiation	21, 12, 13	⊢
	: , : , :
5	theorem		⊢
	proveit.logic.equality.sub_right_side_into
6	instantiation	14, 15, 16	⊢
	: , : , :
7	instantiation	17, 66	⊢
	:
8	instantiation	28, 34, 29, 81, 35, 30, 41, 36, 18	⊢
	: , : , : , : , : , :
9	theorem		⊢
	proveit.numbers.division.distribute_frac_through_sum
10	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
11	instantiation	40	⊢
	: , :
12	instantiation	19, 20	⊢
	: , : , :
13	instantiation	21, 22, 23	⊢
	: , : , :
14	theorem		⊢
	proveit.logic.equality.sub_left_side_into
15	instantiation	24, 59	⊢
	:
16	instantiation	25, 66, 68	⊢
	: , :
17	theorem		⊢
	proveit.physics.quantum.QPE._phase_from_best_with_delta_b
18	instantiation	43, 26	⊢
	:
19	axiom		⊢
	proveit.logic.equality.substitution
20	instantiation	27, 41, 44	⊢
	: , :
21	axiom		⊢
	proveit.logic.equality.equals_transitivity
22	instantiation	28, 29, 34, 30, 31, 35, 41, 36, 32, 37	⊢
	: , : , : , : , : , :
23	instantiation	33, 34, 81, 35, 41, 36, 37, 38	⊢
	: , : , : , : , : , : , : , :
24	theorem		⊢
	proveit.physics.quantum.QPE._alpha_m_mod_as_geometric_sum
25	axiom		⊢
	proveit.physics.quantum.QPE._mod_add_def
26	instantiation	49, 39, 51, 52	⊢
	: , :
27	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
28	theorem		⊢
	proveit.numbers.addition.disassociation
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
30	instantiation	40	⊢
	: , :
31	instantiation	40	⊢
	: , :
32	instantiation	43, 41	⊢
	:
33	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
34	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
35	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
36	instantiation	82, 56, 42	⊢
	: , : , :
37	instantiation	43, 44	⊢
	:
38	instantiation	45	⊢
	:
39	instantiation	82, 56, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
41	instantiation	49, 47, 51, 52	⊢
	: , :
42	instantiation	48, 66	⊢
	:
43	theorem		⊢
	proveit.numbers.negation.complex_closure
44	instantiation	49, 50, 51, 52	⊢
	: , :
45	axiom		⊢
	proveit.logic.equality.equals_reflexivity
46	instantiation	82, 61, 53	⊢
	: , : , :
47	instantiation	82, 56, 54	⊢
	: , : , :
48	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
49	theorem		⊢
	proveit.numbers.division.div_complex_closure
50	instantiation	82, 56, 55	⊢
	: , : , :
51	instantiation	82, 56, 57	⊢
	: , : , :
52	instantiation	58, 65	⊢
	:
53	instantiation	82, 67, 59	⊢
	: , : , :
54	instantiation	82, 61, 60	⊢
	: , : , :
55	instantiation	82, 61, 62	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
57	instantiation	63, 64, 65	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
59	instantiation	75, 66, 68	⊢
	: , :
60	instantiation	82, 67, 66	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
62	instantiation	82, 67, 68	⊢
	: , : , :
63	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
64	instantiation	69, 70	⊢
	: , :
65	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
66	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
67	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
68	instantiation	82, 71, 72	⊢
	: , : , :
69	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
70	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
71	instantiation	73, 74, 79	⊢
	: , :
72	assumption		⊢
73	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
74	instantiation	75, 76, 77	⊢
	: , :
75	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
76	instantiation	78, 79	⊢
	:
77	instantiation	82, 80, 81	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.negation.int_closure
79	instantiation	82, 83, 84	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
81	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
82	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
83	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
84	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements