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	33	⊢
2	instantiation	4, 114, 5, 8, 6, 9, 62, 12, 13, 14	⊢
	: , : , : , : , : , :
3	instantiation	7, 8, 87, 9, 10, 11, 62, 12, 13, 14, 15*	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.disassociation
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	instantiation	16	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.multiplication.association
8	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	instantiation	55	⊢
	: , :
11	instantiation	55	⊢
	: , :
12	instantiation	17, 47, 57, 18	⊢
	: , :
13	instantiation	115, 79, 85	⊢
	: , : , :
14	instantiation	19, 20, 21	⊢
	: , :
15	instantiation	22, 62, 47, 23, 24, 25*, 26*	⊢
	: , : , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
17	theorem		⊢
	proveit.numbers.division.div_complex_closure
18	instantiation	27, 67	⊢
	:
19	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
20	instantiation	115, 79, 28	⊢
	: , : , :
21	instantiation	115, 79, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.division.prod_of_fracs
23	instantiation	115, 58, 30	⊢
	: , : , :
24	instantiation	115, 58, 31	⊢
	: , : , :
25	instantiation	32, 62	⊢
	:
26	instantiation	33, 34, 35	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
28	instantiation	115, 36, 37	⊢
	: , : , :
29	instantiation	115, 89, 38	⊢
	: , : , :
30	instantiation	115, 69, 39	⊢
	: , : , :
31	instantiation	115, 69, 40	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.division.frac_one_denom
33	axiom		⊢
	proveit.logic.equality.equals_transitivity
34	instantiation	41, 87, 42, 43, 48, 44	⊢
	: , : , : , :
35	instantiation	45, 46, 47, 48*, 49*	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
37	instantiation	50, 51	⊢
	:
38	instantiation	115, 91, 52	⊢
	: , : , :
39	instantiation	115, 102, 53	⊢
	: , : , :
40	instantiation	115, 102, 54	⊢
	: , : , :
41	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
42	instantiation	55	⊢
	: , :
43	instantiation	55	⊢
	: , :
44	instantiation	56, 57	⊢
	:
45	theorem		⊢
	proveit.numbers.division.frac_cancel_left
46	instantiation	115, 58, 59	⊢
	: , : , :
47	instantiation	115, 79, 60	⊢
	: , : , :
48	instantiation	61, 62	⊢
	:
49	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
50	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
51	instantiation	63, 64, 65	⊢
	: , :
52	instantiation	111, 107	⊢
	:
53	instantiation	115, 108, 66	⊢
	: , : , :
54	instantiation	115, 108, 67	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
56	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
57	instantiation	115, 79, 68	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
59	instantiation	115, 69, 98	⊢
	: , : , :
60	instantiation	115, 89, 70	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
62	instantiation	115, 79, 71	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
64	instantiation	115, 79, 72	⊢
	: , : , :
65	instantiation	73, 74	⊢
	:
66	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
67	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
68	instantiation	115, 89, 75	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
70	instantiation	115, 91, 107	⊢
	: , : , :
71	instantiation	115, 89, 76	⊢
	: , : , :
72	instantiation	77, 78	⊢
	:
73	theorem		⊢
	proveit.numbers.negation.complex_closure
74	instantiation	115, 79, 80	⊢
	: , : , :
75	instantiation	115, 91, 81	⊢
	: , : , :
76	instantiation	115, 91, 82	⊢
	: , : , :
77	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
78	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
79	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
80	instantiation	83, 84, 85	⊢
	: , :
81	instantiation	115, 113, 86	⊢
	: , : , :
82	instantiation	115, 113, 87	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
84	instantiation	115, 89, 88	⊢
	: , : , :
85	instantiation	115, 89, 90	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
87	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
88	instantiation	115, 91, 92	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
90	instantiation	115, 93, 94	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
92	instantiation	115, 95, 96	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
94	instantiation	97, 98, 99	⊢
	: , :
95	instantiation	100, 101, 112	⊢
	: , :
96	assumption		⊢
97	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
98	instantiation	115, 102, 103	⊢
	: , : , :
99	instantiation	111, 104	⊢
	:
100	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
101	instantiation	105, 106, 107	⊢
	: , :
102	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
103	instantiation	115, 108, 109	⊢
	: , : , :
104	instantiation	115, 116, 110	⊢
	: , : , :
105	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
106	instantiation	111, 112	⊢
	:
107	instantiation	115, 113, 114	⊢
	: , : , :
108	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
109	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
110	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
111	theorem		⊢
	proveit.numbers.negation.int_closure
112	instantiation	115, 116, 117	⊢
	: , : , :
113	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
114	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
115	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
116	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
117	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements