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	⊢
	: , : , : , :
1	reference	52	⊢
2	instantiation	90, 5, 6	⊢
	: , : , :
3	instantiation	90, 7, 8	⊢
	: , : , :
4	instantiation	27	⊢
	:
5	instantiation	102, 9	⊢
	: , : , :
6	instantiation	90, 10, 11	⊢
	: , : , :
7	instantiation	102, 12	⊢
	: , : , :
8	instantiation	90, 13, 14	⊢
	: , : , :
9	instantiation	102, 15	⊢
	: , : , :
10	instantiation	16, 36, 128, 121, 37, 17, 19, 82, 71	⊢
	: , : , : , : , : , :
11	instantiation	18, 82, 19, 20	⊢
	: , : , :
12	instantiation	102, 78	⊢
	: , : , :
13	instantiation	90, 21, 22	⊢
	: , : , :
14	instantiation	113, 39	⊢
	:
15	instantiation	90, 23, 24	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.disassociation
17	instantiation	47	⊢
	: , :
18	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
19	instantiation	49, 25, 26	⊢
	: , : , :
20	instantiation	27	⊢
	:
21	instantiation	28, 36, 128, 121, 37, 29, 114, 30, 39	⊢
	: , : , : , : , : , :
22	instantiation	102, 31	⊢
	: , : , :
23	instantiation	102, 32	⊢
	: , : , :
24	instantiation	35, 121, 128, 36, 33, 37, 114, 46, 39	⊢
	: , : , : , : , : , :
25	instantiation	45, 34, 39	⊢
	: , :
26	instantiation	35, 36, 128, 121, 37, 38, 114, 46, 39	⊢
	: , : , : , : , : , :
27	axiom		⊢
	proveit.logic.equality.equals_reflexivity
28	theorem		⊢
	proveit.numbers.multiplication.association
29	instantiation	47	⊢
	: , :
30	instantiation	60, 82, 114, 77	⊢
	: , :
31	instantiation	49, 40, 41	⊢
	: , : , :
32	instantiation	52, 42, 43, 44	⊢
	: , : , : , :
33	instantiation	47	⊢
	: , :
34	instantiation	45, 114, 46	⊢
	: , :
35	theorem		⊢
	proveit.numbers.multiplication.disassociation
36	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
37	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
38	instantiation	47	⊢
	: , :
39	instantiation	126, 119, 48	⊢
	: , : , :
40	instantiation	49, 50, 51	⊢
	: , : , :
41	instantiation	52, 53, 54, 55	⊢
	: , : , : , :
42	instantiation	102, 56	⊢
	: , : , :
43	instantiation	57, 58	⊢
	: , :
44	instantiation	102, 59	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
46	instantiation	60, 82, 61, 62	⊢
	: , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
48	instantiation	95, 96, 63	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.equality.sub_right_side_into
50	instantiation	64, 82, 74, 65	⊢
	: , : , : , : , :
51	instantiation	90, 66, 67	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
53	instantiation	102, 68	⊢
	: , : , :
54	instantiation	102, 68	⊢
	: , : , :
55	instantiation	105, 82	⊢
	:
56	instantiation	69, 70, 71	⊢
	: , :
57	theorem		⊢
	proveit.logic.equality.equals_reversal
58	instantiation	72, 114, 84, 83, 77	⊢
	: , : , :
59	instantiation	73, 74, 112	⊢
	: , :
60	theorem		⊢
	proveit.numbers.division.div_complex_closure
61	instantiation	75, 114, 82	⊢
	: , :
62	instantiation	76, 77, 78	⊢
	: , : , :
63	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
64	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_numer_left
65	instantiation	126, 85, 79	⊢
	: , : , :
66	instantiation	102, 80	⊢
	: , : , :
67	instantiation	102, 81	⊢
	: , : , :
68	instantiation	104, 82	⊢
	:
69	theorem		⊢
	proveit.numbers.addition.commutation
70	instantiation	126, 119, 83	⊢
	: , : , :
71	instantiation	126, 119, 84	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
73	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
74	instantiation	126, 85, 86	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
76	theorem		⊢
	proveit.logic.equality.sub_left_side_into
77	instantiation	87, 118	⊢
	:
78	instantiation	88, 114	⊢
	:
79	instantiation	126, 99, 89	⊢
	: , : , :
80	instantiation	90, 91, 92	⊢
	: , : , :
81	instantiation	102, 93	⊢
	: , : , :
82	instantiation	126, 119, 94	⊢
	: , : , :
83	instantiation	95, 96, 97	⊢
	: , : , :
84	instantiation	126, 122, 98	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
86	instantiation	126, 99, 100	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
88	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
89	instantiation	126, 110, 101	⊢
	: , : , :
90	axiom		⊢
	proveit.logic.equality.equals_transitivity
91	instantiation	102, 103	⊢
	: , : , :
92	instantiation	104, 114	⊢
	:
93	instantiation	105, 114	⊢
	:
94	instantiation	126, 122, 106	⊢
	: , : , :
95	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
96	instantiation	107, 108	⊢
	: , :
97	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
98	instantiation	126, 124, 109	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
100	instantiation	126, 110, 111	⊢
	: , : , :
101	instantiation	126, 117, 112	⊢
	: , : , :
102	axiom		⊢
	proveit.logic.equality.substitution
103	instantiation	113, 114	⊢
	:
104	theorem		⊢
	proveit.numbers.division.frac_one_denom
105	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
106	instantiation	126, 124, 116	⊢
	: , : , :
107	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
108	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
109	instantiation	115, 116	⊢
	:
110	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
111	instantiation	126, 117, 118	⊢
	: , : , :
112	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
113	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
114	instantiation	126, 119, 120	⊢
	: , : , :
115	theorem		⊢
	proveit.numbers.negation.int_closure
116	instantiation	126, 127, 121	⊢
	: , : , :
117	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
118	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
119	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
120	instantiation	126, 122, 123	⊢
	: , : , :
121	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
122	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
123	instantiation	126, 124, 125	⊢
	: , : , :
124	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
125	instantiation	126, 127, 128	⊢
	: , : , :
126	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
127	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
128	theorem		⊢
	proveit.numbers.numerals.decimals.nat2