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