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	94	⊢
2	instantiation	94, 4, 5	⊢
	: , : , :
3	instantiation	94, 6, 7	⊢
	: , : , :
4	instantiation	94, 8, 9	⊢
	: , : , :
5	instantiation	94, 10, 11	⊢
	: , : , :
6	instantiation	12, 26, 27, 28, 30, 67, 32, 33	⊢
	: , : , : , :
7	instantiation	94, 13, 14	⊢
	: , : , :
8	instantiation	16, 26, 27, 114, 28, 18, 110, 67, 32, 15	⊢
	: , : , : , : , : , :
9	instantiation	16, 27, 121, 26, 18, 17, 28, 110, 67, 32, 31, 33	⊢
	: , : , : , : , : , :
10	instantiation	21, 26, 27, 114, 28, 18, 110, 67, 32, 31, 33	⊢
	: , : , : , : , : , : , :
11	instantiation	94, 19, 20	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
13	instantiation	21, 114, 26, 28, 67, 32, 33	⊢
	: , : , : , : , : , : , :
14	instantiation	25, 26, 121, 114, 28, 22, 67, 33, 32, 23*	⊢
	: , : , : , : , : , :
15	instantiation	24, 31, 33	⊢
	: , :
16	theorem		⊢
	proveit.numbers.multiplication.disassociation
17	instantiation	39	⊢
	: , :
18	instantiation	40	⊢
	: , : , :
19	instantiation	25, 26, 121, 27, 28, 29, 30, 31, 110, 67, 32, 33	⊢
	: , : , : , : , : , :
20	instantiation	102, 34	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
22	instantiation	39	⊢
	: , :
23	instantiation	35, 67, 97, 56, 36, 37*, 38*	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
25	theorem		⊢
	proveit.numbers.multiplication.association
26	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
28	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
29	instantiation	39	⊢
	: , :
30	instantiation	40	⊢
	: , : , :
31	instantiation	119, 112, 41	⊢
	: , : , :
32	instantiation	119, 112, 42	⊢
	: , : , :
33	instantiation	43, 67, 44	⊢
	: , :
34	instantiation	57, 45, 46	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
36	instantiation	47, 48	⊢
	:
37	instantiation	49, 67	⊢
	:
38	instantiation	94, 50, 51	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
41	instantiation	52, 97, 113, 53	⊢
	: , :
42	instantiation	54, 55	⊢
	:
43	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
44	instantiation	119, 112, 56	⊢
	: , : , :
45	instantiation	57, 58, 59	⊢
	: , : , :
46	instantiation	60, 61, 62, 63	⊢
	: , : , : , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
48	instantiation	119, 64, 88	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
50	instantiation	102, 65	⊢
	: , : , :
51	instantiation	66, 67	⊢
	:
52	theorem		⊢
	proveit.numbers.division.div_real_closure
53	instantiation	68, 108	⊢
	:
54	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
55	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
56	instantiation	119, 115, 69	⊢
	: , : , :
57	theorem		⊢
	proveit.logic.equality.sub_right_side_into
58	instantiation	70, 85, 71, 72	⊢
	: , : , : , : , :
59	instantiation	94, 73, 74	⊢
	: , : , :
60	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
61	instantiation	102, 75	⊢
	: , : , :
62	instantiation	102, 75	⊢
	: , : , :
63	instantiation	109, 85	⊢
	:
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
65	instantiation	76, 85, 77	⊢
	: , :
66	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
67	instantiation	119, 112, 78	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
69	instantiation	119, 117, 79	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
71	instantiation	119, 81, 80	⊢
	: , : , :
72	instantiation	119, 81, 82	⊢
	: , : , :
73	instantiation	102, 83	⊢
	: , : , :
74	instantiation	102, 84	⊢
	: , : , :
75	instantiation	104, 85	⊢
	:
76	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
77	instantiation	86	⊢
	:
78	instantiation	119, 87, 88	⊢
	: , : , :
79	instantiation	89, 111	⊢
	:
80	instantiation	119, 91, 90	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
82	instantiation	119, 91, 92	⊢
	: , : , :
83	instantiation	102, 93	⊢
	: , : , :
84	instantiation	94, 95, 96	⊢
	: , : , :
85	instantiation	119, 112, 97	⊢
	: , : , :
86	axiom		⊢
	proveit.logic.equality.equals_reflexivity
87	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
88	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
89	theorem		⊢
	proveit.numbers.negation.int_closure
90	instantiation	119, 99, 98	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
92	instantiation	119, 99, 100	⊢
	: , : , :
93	instantiation	101, 110	⊢
	:
94	axiom		⊢
	proveit.logic.equality.equals_transitivity
95	instantiation	102, 103	⊢
	: , : , :
96	instantiation	104, 110	⊢
	:
97	instantiation	119, 115, 105	⊢
	: , : , :
98	instantiation	119, 107, 106	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
100	instantiation	119, 107, 108	⊢
	: , : , :
101	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
102	axiom		⊢
	proveit.logic.equality.substitution
103	instantiation	109, 110	⊢
	:
104	theorem		⊢
	proveit.numbers.division.frac_one_denom
105	instantiation	119, 117, 111	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
107	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
108	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
109	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
110	instantiation	119, 112, 113	⊢
	: , : , :
111	instantiation	119, 120, 114	⊢
	: , : , :
112	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
113	instantiation	119, 115, 116	⊢
	: , : , :
114	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
115	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
116	instantiation	119, 117, 118	⊢
	: , : , :
117	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
118	instantiation	119, 120, 121	⊢
	: , : , :
119	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
120	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
121	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements