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	40	⊢
2	instantiation	5, 58, 83	⊢
	: , :
3	instantiation	60, 48, 61	⊢
	: , :
4	instantiation	52, 6	⊢
	: , :
5	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
6	instantiation	21, 7, 8	⊢
	: , : , :
7	instantiation	21, 9, 10	⊢
	: , : , :
8	instantiation	21, 11, 12	⊢
	: , : , :
9	instantiation	54, 13	⊢
	: , : , :
10	instantiation	54, 14	⊢
	: , : , :
11	instantiation	21, 15, 16	⊢
	: , : , :
12	instantiation	17, 33, 123, 115, 35, 18, 39, 83, 48, 19*	⊢
	: , : , : , : , : , :
13	instantiation	54, 30	⊢
	: , : , :
14	instantiation	54, 20	⊢
	: , : , :
15	instantiation	21, 22, 23	⊢
	: , : , :
16	instantiation	24, 33, 115, 123, 35, 25, 57, 39, 83, 48, 26	⊢
	: , : , : , : , : , : , : , :
17	theorem		⊢
	proveit.numbers.addition.association
18	instantiation	49	⊢
	: , :
19	instantiation	27, 28, 29	⊢
	: , : , :
20	instantiation	54, 30	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.equality.equals_transitivity
22	instantiation	32, 33, 123, 115, 35, 34, 57, 39, 31	⊢
	: , : , : , : , : , :
23	instantiation	32, 123, 45, 33, 34, 46, 35, 57, 39, 47, 83, 48	⊢
	: , : , : , : , : , :
24	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
25	instantiation	49	⊢
	: , :
26	instantiation	36	⊢
	:
27	theorem		⊢
	proveit.logic.equality.sub_right_side_into
28	instantiation	37, 83, 94, 38	⊢
	: , : , :
29	instantiation	60, 83, 39	⊢
	: , :
30	instantiation	40, 41, 42, 43	⊢
	: , : , : , :
31	instantiation	44, 45, 46, 47, 83, 48	⊢
	: , :
32	theorem		⊢
	proveit.numbers.addition.disassociation
33	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
34	instantiation	49	⊢
	: , :
35	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
36	axiom		⊢
	proveit.logic.equality.equals_reflexivity
37	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
38	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
39	instantiation	121, 103, 50	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
41	instantiation	54, 51	⊢
	: , : , :
42	instantiation	52, 53	⊢
	: , :
43	instantiation	54, 55	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.addition.add_complex_closure
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
46	instantiation	56	⊢
	: , : , :
47	instantiation	71, 57	⊢
	:
48	instantiation	71, 58	⊢
	:
49	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
50	instantiation	121, 110, 59	⊢
	: , : , :
51	instantiation	60, 78, 61	⊢
	: , :
52	theorem		⊢
	proveit.logic.equality.equals_reversal
53	instantiation	62, 94, 63, 87, 85	⊢
	: , : , :
54	axiom		⊢
	proveit.logic.equality.substitution
55	instantiation	64, 65, 66	⊢
	: , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
57	instantiation	67, 68, 69	⊢
	: , :
58	instantiation	121, 103, 70	⊢
	: , : , :
59	instantiation	121, 116, 114	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.addition.commutation
61	instantiation	71, 83	⊢
	:
62	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
63	instantiation	72, 91	⊢
	:
64	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
65	instantiation	121, 73, 74	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
67	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
68	instantiation	75, 83, 76, 77	⊢
	: , :
69	instantiation	82, 94, 78	⊢
	: , :
70	instantiation	121, 110, 79	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.negation.complex_closure
72	theorem		⊢
	proveit.numbers.negation.real_closure
73	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
74	instantiation	121, 80, 81	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.division.div_complex_closure
76	instantiation	82, 94, 83	⊢
	: , :
77	instantiation	84, 85, 86	⊢
	: , : , :
78	instantiation	121, 103, 87	⊢
	: , : , :
79	instantiation	121, 116, 88	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
81	instantiation	121, 89, 90	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
83	instantiation	121, 103, 91	⊢
	: , : , :
84	theorem		⊢
	proveit.logic.equality.sub_left_side_into
85	instantiation	92, 101	⊢
	:
86	instantiation	93, 94	⊢
	:
87	instantiation	95, 96, 97	⊢
	: , : , :
88	instantiation	121, 98, 99	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
90	instantiation	121, 100, 101	⊢
	: , : , :
91	instantiation	121, 110, 102	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
93	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
94	instantiation	121, 103, 104	⊢
	: , : , :
95	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
96	instantiation	105, 106	⊢
	: , :
97	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
98	instantiation	107, 109, 108	⊢
	: , :
99	assumption		⊢
100	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
101	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
102	instantiation	121, 116, 109	⊢
	: , : , :
103	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
104	instantiation	121, 110, 111	⊢
	: , : , :
105	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
106	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
107	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
108	instantiation	112, 113, 114	⊢
	: , :
109	instantiation	121, 122, 115	⊢
	: , : , :
110	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
111	instantiation	121, 116, 120	⊢
	: , : , :
112	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
113	instantiation	121, 117, 118	⊢
	: , : , :
114	instantiation	119, 120	⊢
	:
115	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
116	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
117	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
118	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
119	theorem		⊢
	proveit.numbers.negation.int_closure
120	instantiation	121, 122, 123	⊢
	: , : , :
121	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
122	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
123	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements