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	⊢
	: , : , : , :
1	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
2	reference	124	⊢
3	instantiation	76	⊢
	: , :
4	instantiation	76	⊢
	: , :
5	instantiation	15, 7	⊢
	: , :
6	instantiation	68, 8	⊢
	: , : , :
7	instantiation	68, 9	⊢
	: , : , :
8	instantiation	15, 10	⊢
	: , :
9	instantiation	68, 11	⊢
	: , : , :
10	instantiation	68, 12	⊢
	: , : , :
11	instantiation	55, 13, 14	⊢
	: , : , :
12	instantiation	15, 16	⊢
	: , :
13	instantiation	55, 17, 18	⊢
	: , : , :
14	instantiation	55, 19, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.logic.equality.equals_reversal
16	instantiation	68, 21	⊢
	: , : , :
17	instantiation	68, 22	⊢
	: , : , :
18	instantiation	68, 23	⊢
	: , : , :
19	instantiation	24, 64, 124, 112, 66, 25, 33, 78, 26	⊢
	: , : , : , : , : , :
20	instantiation	27, 33, 78, 28	⊢
	: , : , :
21	instantiation	68, 29	⊢
	: , : , :
22	instantiation	44, 62, 92, 45, 30*	⊢
	: , :
23	instantiation	68, 31	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.disassociation
25	instantiation	76	⊢
	: , :
26	instantiation	32, 33	⊢
	:
27	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
28	instantiation	34	⊢
	:
29	instantiation	35, 36, 112, 64, 37, 66, 92, 38, 39, 40, 41	⊢
	: , : , : , : , : , : , :
30	instantiation	55, 42, 43	⊢
	: , : , :
31	instantiation	44, 74, 92, 45, 46*	⊢
	: , :
32	theorem		⊢
	proveit.numbers.negation.complex_closure
33	instantiation	122, 101, 47	⊢
	: , : , :
34	axiom		⊢
	proveit.logic.equality.equals_reflexivity
35	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
37	instantiation	48	⊢
	: , : , :
38	instantiation	122, 101, 49	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
40	instantiation	122, 101, 50	⊢
	: , : , :
41	instantiation	122, 101, 51	⊢
	: , : , :
42	instantiation	68, 69	⊢
	: , : , :
43	instantiation	55, 52, 53	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.division.div_as_mult
45	instantiation	54, 121	⊢
	:
46	instantiation	55, 56, 57	⊢
	: , : , :
47	instantiation	122, 110, 58	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
49	instantiation	122, 59, 60	⊢
	: , : , :
50	instantiation	122, 110, 61	⊢
	: , : , :
51	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
52	instantiation	70, 62, 78	⊢
	: , :
53	instantiation	63, 112, 124, 64, 65, 66, 78, 74, 75, 67*	⊢
	: , : , : , : , : , :
54	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
55	axiom		⊢
	proveit.logic.equality.equals_transitivity
56	instantiation	68, 69	⊢
	: , : , :
57	instantiation	70, 74, 78	⊢
	: , :
58	instantiation	122, 106, 71	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
61	instantiation	122, 117, 72	⊢
	: , : , :
62	instantiation	73, 74, 75	⊢
	: , :
63	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
64	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
65	instantiation	76	⊢
	: , :
66	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
67	instantiation	77, 78	⊢
	:
68	axiom		⊢
	proveit.logic.equality.substitution
69	instantiation	79, 80, 119, 81*	⊢
	: , :
70	theorem		⊢
	proveit.numbers.multiplication.commutation
71	instantiation	82, 107, 83	⊢
	: , :
72	instantiation	84, 118, 85	⊢
	: , :
73	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
74	instantiation	122, 101, 86	⊢
	: , : , :
75	instantiation	122, 101, 87	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
77	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
78	instantiation	122, 101, 88	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
80	instantiation	122, 89, 90	⊢
	: , : , :
81	instantiation	91, 92	⊢
	:
82	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
83	instantiation	122, 120, 96	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
85	instantiation	122, 93, 96	⊢
	: , : , :
86	instantiation	94, 95, 96	⊢
	: , : , :
87	instantiation	122, 110, 97	⊢
	: , : , :
88	instantiation	122, 110, 98	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
90	instantiation	122, 99, 100	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
92	instantiation	122, 101, 102	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
94	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
95	instantiation	103, 104	⊢
	: , :
96	assumption		⊢
97	instantiation	122, 117, 105	⊢
	: , : , :
98	instantiation	122, 106, 107	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
100	instantiation	122, 108, 109	⊢
	: , : , :
101	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
102	instantiation	122, 110, 111	⊢
	: , : , :
103	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
104	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
105	instantiation	122, 123, 112	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
107	instantiation	113, 114, 115	⊢
	: , :
108	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
109	instantiation	122, 116, 121	⊢
	: , : , :
110	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
111	instantiation	122, 117, 118	⊢
	: , : , :
112	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
113	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
114	instantiation	122, 120, 119	⊢
	: , : , :
115	instantiation	122, 120, 121	⊢
	: , : , :
116	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
117	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
118	instantiation	122, 123, 124	⊢
	: , : , :
119	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
120	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
121	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
122	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
123	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
124	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements