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	53	⊢
2	instantiation	41, 3, 4, 5	⊢
	: , : , : , :
3	instantiation	6, 59, 84	⊢
	: , :
4	instantiation	61, 49, 62	⊢
	: , :
5	instantiation	53, 7	⊢
	: , :
6	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
7	instantiation	22, 8, 9	⊢
	: , : , :
8	instantiation	22, 10, 11	⊢
	: , : , :
9	instantiation	22, 12, 13	⊢
	: , : , :
10	instantiation	55, 14	⊢
	: , : , :
11	instantiation	55, 15	⊢
	: , : , :
12	instantiation	22, 16, 17	⊢
	: , : , :
13	instantiation	18, 34, 124, 116, 36, 19, 40, 84, 49, 20*	⊢
	: , : , : , : , : , :
14	instantiation	55, 31	⊢
	: , : , :
15	instantiation	55, 21	⊢
	: , : , :
16	instantiation	22, 23, 24	⊢
	: , : , :
17	instantiation	25, 34, 116, 124, 36, 26, 58, 40, 84, 49, 27	⊢
	: , : , : , : , : , : , : , :
18	theorem		⊢
	proveit.numbers.addition.association
19	instantiation	50	⊢
	: , :
20	instantiation	28, 29, 30	⊢
	: , : , :
21	instantiation	55, 31	⊢
	: , : , :
22	axiom		⊢
	proveit.logic.equality.equals_transitivity
23	instantiation	33, 34, 124, 116, 36, 35, 58, 40, 32	⊢
	: , : , : , : , : , :
24	instantiation	33, 124, 46, 34, 35, 47, 36, 58, 40, 48, 84, 49	⊢
	: , : , : , : , : , :
25	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
26	instantiation	50	⊢
	: , :
27	instantiation	37	⊢
	:
28	theorem		⊢
	proveit.logic.equality.sub_right_side_into
29	instantiation	38, 84, 95, 39	⊢
	: , : , :
30	instantiation	61, 84, 40	⊢
	: , :
31	instantiation	41, 42, 43, 44	⊢
	: , : , : , :
32	instantiation	45, 46, 47, 48, 84, 49	⊢
	: , :
33	theorem		⊢
	proveit.numbers.addition.disassociation
34	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
35	instantiation	50	⊢
	: , :
36	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
37	axiom		⊢
	proveit.logic.equality.equals_reflexivity
38	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
39	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
40	instantiation	122, 104, 51	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
42	instantiation	55, 52	⊢
	: , : , :
43	instantiation	53, 54	⊢
	: , :
44	instantiation	55, 56	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.addition.add_complex_closure
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
47	instantiation	57	⊢
	: , : , :
48	instantiation	72, 58	⊢
	:
49	instantiation	72, 59	⊢
	:
50	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
51	instantiation	122, 111, 60	⊢
	: , : , :
52	instantiation	61, 79, 62	⊢
	: , :
53	theorem		⊢
	proveit.logic.equality.equals_reversal
54	instantiation	63, 95, 64, 88, 86	⊢
	: , : , :
55	axiom		⊢
	proveit.logic.equality.substitution
56	instantiation	65, 66, 67	⊢
	: , :
57	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
58	instantiation	68, 69, 70	⊢
	: , :
59	instantiation	122, 104, 71	⊢
	: , : , :
60	instantiation	122, 117, 115	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.addition.commutation
62	instantiation	72, 84	⊢
	:
63	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
64	instantiation	73, 92	⊢
	:
65	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
66	instantiation	122, 74, 75	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
68	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
69	instantiation	76, 84, 77, 78	⊢
	: , :
70	instantiation	83, 95, 79	⊢
	: , :
71	instantiation	122, 111, 80	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.negation.complex_closure
73	theorem		⊢
	proveit.numbers.negation.real_closure
74	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
75	instantiation	122, 81, 82	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.division.div_complex_closure
77	instantiation	83, 95, 84	⊢
	: , :
78	instantiation	85, 86, 87	⊢
	: , : , :
79	instantiation	122, 104, 88	⊢
	: , : , :
80	instantiation	122, 117, 89	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
82	instantiation	122, 90, 91	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
84	instantiation	122, 104, 92	⊢
	: , : , :
85	theorem		⊢
	proveit.logic.equality.sub_left_side_into
86	instantiation	93, 102	⊢
	:
87	instantiation	94, 95	⊢
	:
88	instantiation	96, 97, 98	⊢
	: , : , :
89	instantiation	122, 99, 100	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
91	instantiation	122, 101, 102	⊢
	: , : , :
92	instantiation	122, 111, 103	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
94	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
95	instantiation	122, 104, 105	⊢
	: , : , :
96	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
97	instantiation	106, 107	⊢
	: , :
98	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
99	instantiation	108, 110, 109	⊢
	: , :
100	assumption		⊢
101	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
102	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
103	instantiation	122, 117, 110	⊢
	: , : , :
104	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
105	instantiation	122, 111, 112	⊢
	: , : , :
106	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
107	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
108	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
109	instantiation	113, 114, 115	⊢
	: , :
110	instantiation	122, 123, 116	⊢
	: , : , :
111	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
112	instantiation	122, 117, 121	⊢
	: , : , :
113	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
114	instantiation	122, 118, 119	⊢
	: , : , :
115	instantiation	120, 121	⊢
	:
116	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
117	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
118	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
119	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
120	theorem		⊢
	proveit.numbers.negation.int_closure
121	instantiation	122, 123, 124	⊢
	: , : , :
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