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	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4, 5, 6, 7, 8	,  ⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
4	instantiation	9, 22, 12	⊢
	: , :
5	instantiation	9, 22, 10	⊢
	: , :
6	instantiation	98, 91, 11	⊢
	: , : , :
7	instantiation	21, 22, 12, 24	⊢
	: , :
8	instantiation	13, 14, 15	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
10	instantiation	46, 16, 17	⊢
	: , : , :
11	instantiation	98, 96, 18	⊢
	: , : , :
12	instantiation	19, 20	⊢
	:
13	theorem		⊢
	proveit.logic.equality.sub_left_side_into
14	instantiation	21, 22, 23, 24	⊢
	: , :
15	instantiation	25, 26	⊢
	: , : , :
16	instantiation	80, 69, 27	⊢
	: , :
17	instantiation	59, 28, 29	⊢
	: , : , :
18	instantiation	98, 30, 31	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.negation.complex_closure
20	instantiation	32, 33, 34, 35	⊢
	: , :
21	theorem		⊢
	proveit.numbers.exponentiation.exp_not_eq_zero
22	instantiation	98, 88, 36	⊢
	: , : , :
23	instantiation	46, 37, 38	⊢
	: , : , :
24	instantiation	39, 40	⊢
	:
25	axiom		⊢
	proveit.logic.equality.substitution
26	instantiation	41, 79, 81, 82, 77, 66	⊢
	: , : , : , : , : , : , :
27	instantiation	80, 77, 66	⊢
	: , :
28	instantiation	70, 79, 100, 71, 42, 72, 69, 77, 66	⊢
	: , : , : , : , : , :
29	instantiation	70, 71, 100, 72, 73, 42, 81, 82, 77, 66	⊢
	: , : , : , : , : , :
30	instantiation	43, 44, 45	⊢
	: , :
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.division.div_complex_closure
33	instantiation	46, 47, 48	⊢
	: , : , :
34	instantiation	98, 88, 49	⊢
	: , : , :
35	instantiation	50, 86	⊢
	:
36	instantiation	98, 93, 55	⊢
	: , : , :
37	instantiation	80, 63, 51	⊢
	: , :
38	instantiation	59, 52, 53	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
40	instantiation	98, 54, 55	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
42	instantiation	83	⊢
	: , :
43	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
44	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
45	instantiation	56, 76, 57	⊢
	: , :
46	theorem		⊢
	proveit.logic.equality.sub_right_side_into
47	instantiation	80, 69, 58	⊢
	: , :
48	instantiation	59, 60, 61	⊢
	: , : , :
49	instantiation	98, 91, 62	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
51	instantiation	80, 82, 66	⊢
	: , :
52	instantiation	70, 79, 100, 71, 65, 72, 63, 82, 66	⊢
	: , : , : , : , : , :
53	instantiation	70, 71, 100, 72, 64, 65, 81, 77, 82, 66	⊢
	: , : , : , : , : , :
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
56	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
57	instantiation	67, 68	⊢
	:
58	instantiation	80, 77, 75	⊢
	: , :
59	axiom		⊢
	proveit.logic.equality.equals_transitivity
60	instantiation	70, 79, 100, 71, 74, 72, 69, 77, 75	⊢
	: , : , : , : , : , :
61	instantiation	70, 71, 100, 72, 73, 74, 81, 82, 77, 75	⊢
	: , : , : , : , : , :
62	instantiation	98, 96, 76	⊢
	: , : , :
63	instantiation	80, 81, 77	⊢
	: , :
64	instantiation	83	⊢
	: , :
65	instantiation	83	⊢
	: , :
66	instantiation	98, 88, 78	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.negation.int_closure
68	instantiation	98, 99, 79	⊢
	: , : , :
69	instantiation	80, 81, 82	⊢
	: , :
70	theorem		⊢
	proveit.numbers.multiplication.disassociation
71	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
72	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
73	instantiation	83	⊢
	: , :
74	instantiation	83	⊢
	: , :
75	instantiation	98, 88, 84	⊢
	: , : , :
76	instantiation	98, 85, 86	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
78	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
80	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
81	instantiation	98, 88, 87	⊢
	: , : , :
82	instantiation	98, 88, 89	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
84	instantiation	98, 91, 90	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
86	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
87	instantiation	98, 91, 92	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
89	instantiation	98, 93, 94	⊢
	: , : , :
90	instantiation	98, 96, 95	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
92	instantiation	98, 96, 97	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
94	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
95	assumption		⊢
96	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
97	instantiation	98, 99, 100	⊢
	: , : , :
98	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
99	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
100	theorem		⊢
	proveit.numbers.numerals.decimals.nat2