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	reference	12	⊢
2	instantiation	31, 4	⊢
	: , : , :
3	instantiation	9, 5, 6	⊢
	: , : , :
4	instantiation	12, 7, 8	⊢
	: , : , :
5	instantiation	9, 10, 11	⊢
	: , : , :
6	instantiation	12, 13, 14	⊢
	: , : , :
7	instantiation	15, 17, 74, 19, 46, 43, 47	⊢
	: , : , : , : , : , : , :
8	instantiation	16, 74, 80, 17, 18, 19, 43, 46, 47	⊢
	: , : , : , : , : , :
9	theorem		⊢
	proveit.logic.equality.sub_right_side_into
10	instantiation	20, 34, 36, 21, 22, 23	⊢
	: , : , : , : , :
11	instantiation	31, 24	⊢
	: , : , :
12	axiom		⊢
	proveit.logic.equality.equals_transitivity
13	instantiation	31, 25	⊢
	: , : , :
14	instantiation	42, 26	⊢
	:
15	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
16	theorem		⊢
	proveit.numbers.multiplication.association
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	instantiation	27	⊢
	: , :
19	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
21	instantiation	84, 30, 28	⊢
	: , : , :
22	instantiation	84, 30, 29	⊢
	: , : , :
23	instantiation	84, 30, 50	⊢
	: , : , :
24	instantiation	31, 32	⊢
	: , : , :
25	instantiation	33, 34	⊢
	:
26	instantiation	35, 36, 37, 38	⊢
	: , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	instantiation	84, 40, 39	⊢
	: , : , :
29	instantiation	84, 40, 41	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
31	axiom		⊢
	proveit.logic.equality.substitution
32	instantiation	42, 43	⊢
	:
33	theorem		⊢
	proveit.numbers.division.frac_one_denom
34	instantiation	84, 85, 44	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.division.div_complex_closure
36	instantiation	45, 46, 47	⊢
	: , :
37	instantiation	84, 85, 48	⊢
	: , : , :
38	instantiation	49, 50	⊢
	:
39	instantiation	84, 52, 51	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
41	instantiation	84, 52, 53	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
43	instantiation	84, 85, 54	⊢
	: , : , :
44	instantiation	84, 66, 55	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
46	instantiation	84, 85, 56	⊢
	: , : , :
47	instantiation	84, 85, 57	⊢
	: , : , :
48	instantiation	84, 68, 59	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
50	instantiation	84, 58, 59	⊢
	: , : , :
51	instantiation	84, 61, 60	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
53	instantiation	84, 61, 64	⊢
	: , : , :
54	instantiation	62, 63, 64	⊢
	: , : , :
55	instantiation	84, 75, 65	⊢
	: , : , :
56	instantiation	84, 66, 67	⊢
	: , : , :
57	instantiation	84, 68, 71	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
59	instantiation	69, 70, 71	⊢
	: , :
60	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
62	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
63	instantiation	72, 73	⊢
	: , :
64	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
65	instantiation	84, 79, 74	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
67	instantiation	84, 75, 76	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
69	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
70	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
71	instantiation	77, 78	⊢
	:
72	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
75	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
76	instantiation	84, 79, 80	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
78	instantiation	81, 82, 83	⊢
	:
79	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
80	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
81	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
82	instantiation	84, 85, 86	⊢
	: , : , :
83	assumption		⊢
84	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
85	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
86	instantiation	87, 88	⊢
	:
87	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
88	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int