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	⊢
	: , :
1	reference	16	⊢
2	instantiation	3, 125, 4, 5, 6, 7	⊢
	: , : , : , :
3	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
4	instantiation	77	⊢
	: , :
5	instantiation	77	⊢
	: , :
6	instantiation	16, 8	⊢
	: , :
7	instantiation	69, 9	⊢
	: , : , :
8	instantiation	69, 10	⊢
	: , : , :
9	instantiation	16, 11	⊢
	: , :
10	instantiation	69, 12	⊢
	: , : , :
11	instantiation	69, 13	⊢
	: , : , :
12	instantiation	56, 14, 15	⊢
	: , : , :
13	instantiation	16, 17	⊢
	: , :
14	instantiation	56, 18, 19	⊢
	: , : , :
15	instantiation	56, 20, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.logic.equality.equals_reversal
17	instantiation	69, 22	⊢
	: , : , :
18	instantiation	69, 23	⊢
	: , : , :
19	instantiation	69, 24	⊢
	: , : , :
20	instantiation	25, 65, 125, 113, 67, 26, 34, 79, 27	⊢
	: , : , : , : , : , :
21	instantiation	28, 34, 79, 29	⊢
	: , : , :
22	instantiation	69, 30	⊢
	: , : , :
23	instantiation	45, 63, 93, 46, 31*	⊢
	: , :
24	instantiation	69, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.addition.disassociation
26	instantiation	77	⊢
	: , :
27	instantiation	33, 34	⊢
	:
28	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
29	instantiation	35	⊢
	:
30	instantiation	36, 37, 113, 65, 38, 67, 93, 39, 40, 41, 42	⊢
	: , : , : , : , : , : , :
31	instantiation	56, 43, 44	⊢
	: , : , :
32	instantiation	45, 75, 93, 46, 47*	⊢
	: , :
33	theorem		⊢
	proveit.numbers.negation.complex_closure
34	instantiation	123, 102, 48	⊢
	: , : , :
35	axiom		⊢
	proveit.logic.equality.equals_reflexivity
36	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
38	instantiation	49	⊢
	: , : , :
39	instantiation	123, 102, 50	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
41	instantiation	123, 102, 51	⊢
	: , : , :
42	instantiation	123, 102, 52	⊢
	: , : , :
43	instantiation	69, 70	⊢
	: , : , :
44	instantiation	56, 53, 54	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.division.div_as_mult
46	instantiation	55, 122	⊢
	:
47	instantiation	56, 57, 58	⊢
	: , : , :
48	instantiation	123, 111, 59	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
50	instantiation	123, 60, 61	⊢
	: , : , :
51	instantiation	123, 111, 62	⊢
	: , : , :
52	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
53	instantiation	71, 63, 79	⊢
	: , :
54	instantiation	64, 113, 125, 65, 66, 67, 79, 75, 76, 68*	⊢
	: , : , : , : , : , :
55	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
56	axiom		⊢
	proveit.logic.equality.equals_transitivity
57	instantiation	69, 70	⊢
	: , : , :
58	instantiation	71, 75, 79	⊢
	: , :
59	instantiation	123, 107, 72	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
62	instantiation	123, 118, 73	⊢
	: , : , :
63	instantiation	74, 75, 76	⊢
	: , :
64	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
65	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
66	instantiation	77	⊢
	: , :
67	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
68	instantiation	78, 79	⊢
	:
69	axiom		⊢
	proveit.logic.equality.substitution
70	instantiation	80, 81, 120, 82*	⊢
	: , :
71	theorem		⊢
	proveit.numbers.multiplication.commutation
72	instantiation	83, 108, 84	⊢
	: , :
73	instantiation	85, 119, 86	⊢
	: , :
74	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
75	instantiation	123, 102, 87	⊢
	: , : , :
76	instantiation	123, 102, 88	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
78	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
79	instantiation	123, 102, 89	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
81	instantiation	123, 90, 91	⊢
	: , : , :
82	instantiation	92, 93	⊢
	:
83	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
84	instantiation	123, 121, 97	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
86	instantiation	123, 94, 97	⊢
	: , : , :
87	instantiation	95, 96, 97	⊢
	: , : , :
88	instantiation	123, 111, 98	⊢
	: , : , :
89	instantiation	123, 111, 99	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
91	instantiation	123, 100, 101	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
93	instantiation	123, 102, 103	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
95	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
96	instantiation	104, 105	⊢
	: , :
97	assumption		⊢
98	instantiation	123, 118, 106	⊢
	: , : , :
99	instantiation	123, 107, 108	⊢
	: , : , :
100	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
101	instantiation	123, 109, 110	⊢
	: , : , :
102	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
103	instantiation	123, 111, 112	⊢
	: , : , :
104	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
105	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
106	instantiation	123, 124, 113	⊢
	: , : , :
107	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
108	instantiation	114, 115, 116	⊢
	: , :
109	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
110	instantiation	123, 117, 122	⊢
	: , : , :
111	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
112	instantiation	123, 118, 119	⊢
	: , : , :
113	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
114	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
115	instantiation	123, 121, 120	⊢
	: , : , :
116	instantiation	123, 121, 122	⊢
	: , : , :
117	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
118	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
119	instantiation	123, 124, 125	⊢
	: , : , :
120	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
121	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
122	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
123	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
124	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
125	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements