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