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	114	⊢
2	instantiation	114, 4, 5	⊢
	: , : , :
3	instantiation	114, 6, 7	⊢
	: , : , :
4	instantiation	114, 8, 9	⊢
	: , : , :
5	instantiation	114, 10, 11	⊢
	: , : , :
6	instantiation	75, 76, 27, 77, 29, 96, 36, 35	⊢
	: , : , : , :
7	instantiation	114, 12, 13	⊢
	: , : , :
8	instantiation	74, 76, 27, 159, 77, 16, 134, 96, 36, 14	⊢
	: , : , : , : , : , :
9	instantiation	74, 27, 161, 76, 16, 15, 77, 134, 96, 36, 30, 35	⊢
	: , : , : , : , : , :
10	instantiation	32, 76, 27, 159, 77, 16, 134, 96, 36, 30, 35	⊢
	: , : , : , : , : , : , :
11	instantiation	114, 17, 18	⊢
	: , : , :
12	instantiation	114, 19, 20	⊢
	: , : , :
13	instantiation	21, 159, 161, 76, 22, 77, 108, 23, 42, 24*, 25*	⊢
	: , : , : , : , : , :
14	instantiation	26, 30, 35	⊢
	: , :
15	instantiation	97	⊢
	: , :
16	instantiation	43	⊢
	: , : , :
17	instantiation	33, 76, 161, 27, 77, 28, 29, 30, 134, 96, 36, 35	⊢
	: , : , : , : , : , :
18	instantiation	125, 31	⊢
	: , : , :
19	instantiation	32, 159, 76, 77, 96, 36, 35	⊢
	: , : , : , : , : , : , :
20	instantiation	33, 76, 161, 159, 77, 34, 96, 35, 36, 37*	⊢
	: , : , : , : , : , :
21	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
22	instantiation	97	⊢
	: , :
23	instantiation	38, 40	⊢
	:
24	instantiation	39, 108, 40, 41*	⊢
	: , :
25	instantiation	124, 42	⊢
	:
26	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
28	instantiation	97	⊢
	: , :
29	instantiation	43	⊢
	: , : , :
30	instantiation	162, 140, 44	⊢
	: , : , :
31	instantiation	58, 45, 46	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
33	theorem		⊢
	proveit.numbers.multiplication.association
34	instantiation	97	⊢
	: , :
35	instantiation	47, 96, 48	⊢
	: , :
36	instantiation	162, 140, 49	⊢
	: , : , :
37	instantiation	50, 96, 119, 65, 51, 52*, 53*	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.negation.complex_closure
39	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
40	instantiation	162, 140, 90	⊢
	: , : , :
41	instantiation	114, 54, 55	⊢
	: , : , :
42	instantiation	162, 140, 68	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
44	instantiation	56, 119, 141, 57	⊢
	: , :
45	instantiation	58, 59, 60	⊢
	: , : , :
46	instantiation	61, 62, 63, 64	⊢
	: , : , : , :
47	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
48	instantiation	162, 140, 65	⊢
	: , : , :
49	instantiation	66, 67, 68	⊢
	: , :
50	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
51	instantiation	69, 70	⊢
	:
52	instantiation	71, 96	⊢
	:
53	instantiation	114, 72, 73	⊢
	: , : , :
54	instantiation	74, 159, 161, 76, 78, 77, 108, 79, 80	⊢
	: , : , : , : , : , :
55	instantiation	75, 76, 161, 77, 78, 79, 80	⊢
	: , : , : , :
56	theorem		⊢
	proveit.numbers.division.div_real_closure
57	instantiation	81, 153	⊢
	:
58	theorem		⊢
	proveit.logic.equality.sub_right_side_into
59	instantiation	82, 108, 83, 84	⊢
	: , : , : , : , :
60	instantiation	114, 85, 86	⊢
	: , : , :
61	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
62	instantiation	125, 87	⊢
	: , : , :
63	instantiation	125, 87	⊢
	: , : , :
64	instantiation	133, 108	⊢
	:
65	instantiation	162, 147, 88	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
67	instantiation	89, 90	⊢
	:
68	instantiation	91, 92	⊢
	:
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
70	instantiation	162, 93, 122	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
72	instantiation	125, 94	⊢
	: , : , :
73	instantiation	95, 96	⊢
	:
74	theorem		⊢
	proveit.numbers.multiplication.disassociation
75	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
76	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
77	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
78	instantiation	97	⊢
	: , :
79	instantiation	162, 140, 105	⊢
	: , : , :
80	instantiation	162, 140, 106	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
82	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
83	instantiation	162, 99, 98	⊢
	: , : , :
84	instantiation	162, 99, 100	⊢
	: , : , :
85	instantiation	125, 101	⊢
	: , : , :
86	instantiation	125, 102	⊢
	: , : , :
87	instantiation	127, 108	⊢
	:
88	instantiation	162, 155, 103	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.negation.real_closure
90	instantiation	104, 105, 106	⊢
	: , :
91	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
92	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
93	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
94	instantiation	107, 108, 109	⊢
	: , :
95	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
96	instantiation	162, 140, 110	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
98	instantiation	162, 112, 111	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
100	instantiation	162, 112, 138	⊢
	: , : , :
101	instantiation	125, 113	⊢
	: , : , :
102	instantiation	114, 115, 116	⊢
	: , : , :
103	instantiation	157, 151	⊢
	:
104	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
105	instantiation	162, 147, 117	⊢
	: , : , :
106	instantiation	162, 147, 118	⊢
	: , : , :
107	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
108	instantiation	162, 140, 119	⊢
	: , : , :
109	instantiation	120	⊢
	:
110	instantiation	162, 121, 122	⊢
	: , : , :
111	instantiation	162, 144, 123	⊢
	: , : , :
112	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
113	instantiation	124, 134	⊢
	:
114	axiom		⊢
	proveit.logic.equality.equals_transitivity
115	instantiation	125, 126	⊢
	: , : , :
116	instantiation	127, 134	⊢
	:
117	instantiation	162, 155, 128	⊢
	: , : , :
118	instantiation	162, 129, 130	⊢
	: , : , :
119	instantiation	162, 147, 131	⊢
	: , : , :
120	axiom		⊢
	proveit.logic.equality.equals_reflexivity
121	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
122	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
123	instantiation	162, 152, 132	⊢
	: , : , :
124	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
125	axiom		⊢
	proveit.logic.equality.substitution
126	instantiation	133, 134	⊢
	:
127	theorem		⊢
	proveit.numbers.division.frac_one_denom
128	instantiation	162, 135, 136	⊢
	: , : , :
129	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
130	instantiation	137, 138, 139	⊢
	: , :
131	instantiation	162, 155, 151	⊢
	: , : , :
132	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
133	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
134	instantiation	162, 140, 141	⊢
	: , : , :
135	instantiation	142, 143, 158	⊢
	: , :
136	assumption		⊢
137	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
138	instantiation	162, 144, 145	⊢
	: , : , :
139	instantiation	157, 146	⊢
	:
140	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
141	instantiation	162, 147, 148	⊢
	: , : , :
142	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
143	instantiation	149, 150, 151	⊢
	: , :
144	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
145	instantiation	162, 152, 153	⊢
	: , : , :
146	instantiation	162, 163, 154	⊢
	: , : , :
147	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
148	instantiation	162, 155, 156	⊢
	: , : , :
149	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
150	instantiation	157, 158	⊢
	:
151	instantiation	162, 160, 159	⊢
	: , : , :
152	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
153	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
154	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
155	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
156	instantiation	162, 160, 161	⊢
	: , : , :
157	theorem		⊢
	proveit.numbers.negation.int_closure
158	instantiation	162, 163, 164	⊢
	: , : , :
159	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
160	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
161	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
162	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
163	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
164	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements