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	23	⊢
2	instantiation	23, 4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8, 9	⊢
	: , : , : , :
4	instantiation	47, 10	⊢
	: , : , :
5	instantiation	20, 11, 12	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
7	instantiation	47, 13	⊢
	: , : , :
8	instantiation	47, 14	⊢
	: , : , :
9	instantiation	15, 16, 17, 62	⊢
	: , : , :
10	instantiation	23, 18, 19	⊢
	: , : , :
11	instantiation	20, 21, 22	⊢
	: , : , :
12	instantiation	23, 24, 25	⊢
	: , : , :
13	instantiation	26, 62, 63	⊢
	: , :
14	instantiation	26, 27, 63	⊢
	: , :
15	theorem		⊢
	proveit.numbers.division.frac_cancel_left
16	instantiation	100, 46, 28	⊢
	: , : , :
17	instantiation	100, 46, 29	⊢
	: , : , :
18	instantiation	30, 32, 90, 34, 62, 59, 63	⊢
	: , : , : , : , : , : , :
19	instantiation	31, 90, 96, 32, 33, 34, 59, 62, 63	⊢
	: , : , : , : , : , :
20	theorem		⊢
	proveit.logic.equality.sub_right_side_into
21	instantiation	35, 50, 52, 36, 37, 38	⊢
	: , : , : , : , :
22	instantiation	47, 39	⊢
	: , : , :
23	axiom		⊢
	proveit.logic.equality.equals_transitivity
24	instantiation	47, 40	⊢
	: , : , :
25	instantiation	58, 41	⊢
	:
26	theorem		⊢
	proveit.numbers.multiplication.commutation
27	instantiation	100, 101, 42	⊢
	: , : , :
28	instantiation	100, 74, 87	⊢
	: , : , :
29	instantiation	100, 74, 86	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
31	theorem		⊢
	proveit.numbers.multiplication.association
32	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
33	instantiation	43	⊢
	: , :
34	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
35	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
36	instantiation	100, 46, 44	⊢
	: , : , :
37	instantiation	100, 46, 45	⊢
	: , : , :
38	instantiation	100, 46, 66	⊢
	: , : , :
39	instantiation	47, 48	⊢
	: , : , :
40	instantiation	49, 50	⊢
	:
41	instantiation	51, 52, 53, 54	⊢
	: , :
42	instantiation	100, 84, 86	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
44	instantiation	100, 56, 55	⊢
	: , : , :
45	instantiation	100, 56, 57	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
47	axiom		⊢
	proveit.logic.equality.substitution
48	instantiation	58, 59	⊢
	:
49	theorem		⊢
	proveit.numbers.division.frac_one_denom
50	instantiation	100, 101, 60	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.division.div_complex_closure
52	instantiation	61, 62, 63	⊢
	: , :
53	instantiation	100, 101, 64	⊢
	: , : , :
54	instantiation	65, 66	⊢
	:
55	instantiation	100, 68, 67	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
57	instantiation	100, 68, 69	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
59	instantiation	100, 101, 70	⊢
	: , : , :
60	instantiation	100, 82, 71	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
62	instantiation	100, 101, 72	⊢
	: , : , :
63	instantiation	100, 101, 73	⊢
	: , : , :
64	instantiation	100, 84, 75	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
66	instantiation	100, 74, 75	⊢
	: , : , :
67	instantiation	100, 77, 76	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
69	instantiation	100, 77, 80	⊢
	: , : , :
70	instantiation	78, 79, 80	⊢
	: , : , :
71	instantiation	100, 91, 81	⊢
	: , : , :
72	instantiation	100, 82, 83	⊢
	: , : , :
73	instantiation	100, 84, 87	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
75	instantiation	85, 86, 87	⊢
	: , :
76	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
77	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
78	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
79	instantiation	88, 89	⊢
	: , :
80	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
81	instantiation	100, 95, 90	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
83	instantiation	100, 91, 92	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
85	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
86	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
87	instantiation	93, 94	⊢
	:
88	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
89	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
91	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
92	instantiation	100, 95, 96	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
94	instantiation	97, 98, 99	⊢
	:
95	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
96	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
97	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
98	instantiation	100, 101, 102	⊢
	: , : , :
99	assumption		⊢
100	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
101	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
102	instantiation	103, 104	⊢
	:
103	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
104	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int