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	48	⊢
2	instantiation	17, 3, 4	⊢
	: , : , :
3	instantiation	17, 5, 6	⊢
	: , : , :
4	instantiation	17, 7, 8	⊢
	: , : , :
5	instantiation	50, 9	⊢
	: , : , :
6	instantiation	50, 10	⊢
	: , : , :
7	instantiation	17, 11, 12	⊢
	: , : , :
8	instantiation	13, 29, 126, 118, 31, 14, 35, 83, 44, 15*	⊢
	: , : , : , : , : , :
9	instantiation	50, 26	⊢
	: , : , :
10	instantiation	50, 16	⊢
	: , : , :
11	instantiation	17, 18, 19	⊢
	: , : , :
12	instantiation	20, 29, 118, 126, 31, 21, 53, 35, 83, 44, 22	⊢
	: , : , : , : , : , : , : , :
13	theorem		⊢
	proveit.numbers.addition.association
14	instantiation	45	⊢
	: , :
15	instantiation	23, 24, 25	⊢
	: , : , :
16	instantiation	50, 26	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.equals_transitivity
18	instantiation	28, 29, 126, 118, 31, 30, 53, 35, 27	⊢
	: , : , : , : , : , :
19	instantiation	28, 126, 41, 29, 30, 42, 31, 53, 35, 43, 83, 44	⊢
	: , : , : , : , : , :
20	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
21	instantiation	45	⊢
	: , :
22	instantiation	32	⊢
	:
23	theorem		⊢
	proveit.logic.equality.sub_right_side_into
24	instantiation	33, 83, 97, 34	⊢
	: , : , :
25	instantiation	57, 83, 35	⊢
	: , :
26	instantiation	36, 37, 38, 39	⊢
	: , : , : , :
27	instantiation	40, 41, 42, 43, 83, 44	⊢
	: , :
28	theorem		⊢
	proveit.numbers.addition.disassociation
29	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
30	instantiation	45	⊢
	: , :
31	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
32	axiom		⊢
	proveit.logic.equality.equals_reflexivity
33	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
34	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
35	instantiation	124, 104, 46	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
37	instantiation	50, 47	⊢
	: , : , :
38	instantiation	48, 49	⊢
	: , :
39	instantiation	50, 51	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.addition.add_complex_closure
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
42	instantiation	52	⊢
	: , : , :
43	instantiation	54, 53	⊢
	:
44	instantiation	54, 55	⊢
	:
45	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
46	instantiation	124, 111, 56	⊢
	: , : , :
47	instantiation	57, 58, 59	⊢
	: , :
48	theorem		⊢
	proveit.logic.equality.equals_reversal
49	instantiation	60, 97, 69, 68, 85	⊢
	: , : , :
50	axiom		⊢
	proveit.logic.equality.substitution
51	instantiation	61, 62, 63	⊢
	: , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
53	instantiation	64, 65, 66	⊢
	: , :
54	theorem		⊢
	proveit.numbers.negation.complex_closure
55	instantiation	124, 104, 67	⊢
	: , : , :
56	instantiation	124, 119, 117	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.addition.commutation
58	instantiation	124, 104, 68	⊢
	: , : , :
59	instantiation	124, 104, 69	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
61	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
62	instantiation	124, 70, 71	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
64	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
65	instantiation	72, 83, 73, 74	⊢
	: , :
66	instantiation	124, 104, 75	⊢
	: , : , :
67	instantiation	124, 111, 76	⊢
	: , : , :
68	instantiation	77, 78, 114	⊢
	: , : , :
69	instantiation	124, 111, 79	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
71	instantiation	124, 80, 81	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.division.div_complex_closure
73	instantiation	82, 97, 83	⊢
	: , :
74	instantiation	84, 85, 86	⊢
	: , : , :
75	instantiation	124, 111, 87	⊢
	: , : , :
76	instantiation	124, 119, 88	⊢
	: , : , :
77	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
78	instantiation	89, 90	⊢
	: , :
79	instantiation	124, 119, 91	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
81	instantiation	124, 92, 93	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
83	instantiation	124, 104, 94	⊢
	: , : , :
84	theorem		⊢
	proveit.logic.equality.sub_left_side_into
85	instantiation	95, 102	⊢
	:
86	instantiation	96, 97	⊢
	:
87	instantiation	124, 119, 98	⊢
	: , : , :
88	instantiation	124, 99, 100	⊢
	: , : , :
89	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
90	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
91	instantiation	122, 110	⊢
	:
92	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
93	instantiation	124, 101, 102	⊢
	: , : , :
94	instantiation	124, 111, 103	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
96	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
97	instantiation	124, 104, 105	⊢
	: , : , :
98	instantiation	106, 123, 107	⊢
	: , :
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	124, 119, 110	⊢
	: , : , :
104	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
105	instantiation	124, 111, 112	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
107	instantiation	124, 113, 114	⊢
	: , : , :
108	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
109	instantiation	115, 116, 117	⊢
	: , :
110	instantiation	124, 125, 118	⊢
	: , : , :
111	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
112	instantiation	124, 119, 123	⊢
	: , : , :
113	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
114	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
115	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
116	instantiation	124, 120, 121	⊢
	: , : , :
117	instantiation	122, 123	⊢
	:
118	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
119	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
120	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
121	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
122	theorem		⊢
	proveit.numbers.negation.int_closure
123	instantiation	124, 125, 126	⊢
	: , : , :
124	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
125	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
126	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements