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, 5, 6	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
2	instantiation	7, 20, 10	⊢
	: , :
3	instantiation	7, 20, 8	⊢
	: , :
4	instantiation	96, 89, 9	⊢
	: , : , :
5	instantiation	19, 20, 10, 22	⊢
	: , :
6	instantiation	11, 12, 13	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
8	instantiation	44, 14, 15	⊢
	: , : , :
9	instantiation	96, 94, 16	⊢
	: , : , :
10	instantiation	17, 18	⊢
	:
11	theorem		⊢
	proveit.logic.equality.sub_left_side_into
12	instantiation	19, 20, 21, 22	⊢
	: , :
13	instantiation	23, 24	⊢
	: , : , :
14	instantiation	78, 67, 25	⊢
	: , :
15	instantiation	57, 26, 27	⊢
	: , : , :
16	instantiation	96, 28, 29	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.negation.complex_closure
18	instantiation	30, 31, 32, 33	⊢
	: , :
19	theorem		⊢
	proveit.numbers.exponentiation.exp_not_eq_zero
20	instantiation	96, 86, 34	⊢
	: , : , :
21	instantiation	44, 35, 36	⊢
	: , : , :
22	instantiation	37, 38	⊢
	:
23	axiom		⊢
	proveit.logic.equality.substitution
24	instantiation	39, 77, 79, 80, 75, 64	⊢
	: , : , : , : , : , : , :
25	instantiation	78, 75, 64	⊢
	: , :
26	instantiation	68, 77, 98, 69, 40, 70, 67, 75, 64	⊢
	: , : , : , : , : , :
27	instantiation	68, 69, 98, 70, 71, 40, 79, 80, 75, 64	⊢
	: , : , : , : , : , :
28	instantiation	41, 42, 43	⊢
	: , :
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.division.div_complex_closure
31	instantiation	44, 45, 46	⊢
	: , : , :
32	instantiation	96, 86, 47	⊢
	: , : , :
33	instantiation	48, 84	⊢
	:
34	instantiation	96, 91, 53	⊢
	: , : , :
35	instantiation	78, 61, 49	⊢
	: , :
36	instantiation	57, 50, 51	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
38	instantiation	96, 52, 53	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
40	instantiation	81	⊢
	: , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
42	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
43	instantiation	54, 74, 55	⊢
	: , :
44	theorem		⊢
	proveit.logic.equality.sub_right_side_into
45	instantiation	78, 67, 56	⊢
	: , :
46	instantiation	57, 58, 59	⊢
	: , : , :
47	instantiation	96, 89, 60	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
49	instantiation	78, 80, 64	⊢
	: , :
50	instantiation	68, 77, 98, 69, 63, 70, 61, 80, 64	⊢
	: , : , : , : , : , :
51	instantiation	68, 69, 98, 70, 62, 63, 79, 75, 80, 64	⊢
	: , : , : , : , : , :
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
54	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
55	instantiation	65, 66	⊢
	:
56	instantiation	78, 75, 73	⊢
	: , :
57	axiom		⊢
	proveit.logic.equality.equals_transitivity
58	instantiation	68, 77, 98, 69, 72, 70, 67, 75, 73	⊢
	: , : , : , : , : , :
59	instantiation	68, 69, 98, 70, 71, 72, 79, 80, 75, 73	⊢
	: , : , : , : , : , :
60	instantiation	96, 94, 74	⊢
	: , : , :
61	instantiation	78, 79, 75	⊢
	: , :
62	instantiation	81	⊢
	: , :
63	instantiation	81	⊢
	: , :
64	instantiation	96, 86, 76	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.negation.int_closure
66	instantiation	96, 97, 77	⊢
	: , : , :
67	instantiation	78, 79, 80	⊢
	: , :
68	theorem		⊢
	proveit.numbers.multiplication.disassociation
69	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
70	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
71	instantiation	81	⊢
	: , :
72	instantiation	81	⊢
	: , :
73	instantiation	96, 86, 82	⊢
	: , : , :
74	instantiation	96, 83, 84	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
76	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
77	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
78	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
79	instantiation	96, 86, 85	⊢
	: , : , :
80	instantiation	96, 86, 87	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
82	instantiation	96, 89, 88	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
84	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
85	instantiation	96, 89, 90	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
87	instantiation	96, 91, 92	⊢
	: , : , :
88	instantiation	96, 94, 93	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
90	instantiation	96, 94, 95	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
92	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
93	assumption		⊢
94	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
95	instantiation	96, 97, 98	⊢
	: , : , :
96	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
97	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
98	theorem		⊢
	proveit.numbers.numerals.decimals.nat2