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