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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_left_side_into
2	instantiation	36, 4, 5	⊢
	: , : , :
3	instantiation	6, 100, 20, 21, 7, 8, 9, 10	⊢
	: , : , : , : , : , : , : , :
4	instantiation	36, 11, 12	⊢
	: , : , :
5	instantiation	36, 13, 14	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
7	instantiation	98, 96, 44	⊢
	: , : , :
8	instantiation	98, 96, 45	⊢
	: , : , :
9	instantiation	15, 16	⊢
	:
10	instantiation	17	⊢
	:
11	instantiation	81, 18	⊢
	: , : , :
12	instantiation	19, 100, 20, 21, 92, 22, 23, 24*	⊢
	: , : , : , : , : , :
13	axiom		⊢
	proveit.physics.quantum.QPE._best_round_def
14	instantiation	25, 44	⊢
	:
15	theorem		⊢
	proveit.numbers.negation.complex_closure
16	instantiation	101, 26, 27	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.equals_reflexivity
18	instantiation	28, 95	⊢
	:
19	theorem		⊢
	proveit.numbers.multiplication.distribute_through_subtract
20	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
21	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
22	instantiation	98, 96, 54	⊢
	: , : , :
23	instantiation	29, 64, 92, 30	⊢
	: , :
24	instantiation	36, 31, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.rounding.round_in_terms_of_floor
26	instantiation	104, 33	⊢
	: , :
27	instantiation	34, 35	⊢
	:
28	axiom		⊢
	proveit.physics.quantum.QPE._delta_b_def
29	theorem		⊢
	proveit.numbers.division.div_complex_closure
30	instantiation	66, 103	⊢
	:
31	instantiation	36, 37, 38	⊢
	: , : , :
32	instantiation	39, 40, 41, 42	⊢
	: , : , : , :
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.int_within_complex
34	axiom		⊢
	proveit.numbers.rounding.floor_is_an_int
35	instantiation	43, 44, 45	⊢
	: , :
36	theorem		⊢
	proveit.logic.equality.sub_right_side_into
37	instantiation	46, 63, 64, 47, 48	⊢
	: , : , : , : , :
38	instantiation	71, 49, 50	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
40	instantiation	81, 51	⊢
	: , : , :
41	instantiation	81, 52	⊢
	: , : , :
42	instantiation	91, 64	⊢
	:
43	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
44	instantiation	53, 97, 54	⊢
	: , :
45	instantiation	55, 75, 56, 57	⊢
	: , :
46	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_numer_left
47	instantiation	98, 59, 58	⊢
	: , : , :
48	instantiation	98, 59, 60	⊢
	: , : , :
49	instantiation	81, 61	⊢
	: , : , :
50	instantiation	81, 62	⊢
	: , : , :
51	instantiation	83, 63	⊢
	:
52	instantiation	83, 64	⊢
	:
53	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
54	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
55	theorem		⊢
	proveit.numbers.division.div_real_closure
56	instantiation	98, 86, 65	⊢
	: , : , :
57	instantiation	66, 67	⊢
	:
58	instantiation	98, 69, 68	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
60	instantiation	98, 69, 70	⊢
	: , : , :
61	instantiation	71, 72, 73	⊢
	: , : , :
62	instantiation	81, 74	⊢
	: , : , :
63	instantiation	98, 96, 75	⊢
	: , : , :
64	instantiation	98, 96, 76	⊢
	: , : , :
65	instantiation	98, 94, 77	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
67	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
68	instantiation	98, 79, 78	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
70	instantiation	98, 79, 80	⊢
	: , : , :
71	axiom		⊢
	proveit.logic.equality.equals_transitivity
72	instantiation	81, 82	⊢
	: , : , :
73	instantiation	83, 92	⊢
	:
74	instantiation	84, 92	⊢
	:
75	instantiation	98, 86, 85	⊢
	: , : , :
76	instantiation	98, 86, 87	⊢
	: , : , :
77	instantiation	98, 99, 88	⊢
	: , : , :
78	instantiation	98, 89, 103	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
80	instantiation	98, 89, 90	⊢
	: , : , :
81	axiom		⊢
	proveit.logic.equality.substitution
82	instantiation	91, 92	⊢
	:
83	theorem		⊢
	proveit.numbers.division.frac_one_denom
84	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
85	instantiation	98, 94, 93	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
87	instantiation	98, 94, 95	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
89	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
90	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
91	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
92	instantiation	98, 96, 97	⊢
	: , : , :
93	instantiation	98, 99, 100	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
95	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
96	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
97	instantiation	101, 102, 103	⊢
	: , : , :
98	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
99	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
100	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
101	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
102	instantiation	104, 105	⊢
	: , :
103	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
104	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
105	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements