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*, 7*	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.exp_eq
2	reference	24	⊢
3	instantiation	8, 9, 13	⊢
	: , :
4	instantiation	8, 9, 16	⊢
	: , :
5	instantiation	10, 65, 37, 11*, 12*	⊢
	: , :
6	instantiation	15, 25, 13, 24, 14*	,  ⊢
	: , : , :
7	instantiation	15, 25, 16, 24, 17*	,  ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
9	instantiation	93, 68, 18	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.exp_neg2pi_i_x
11	instantiation	19, 26, 29, 30	⊢
	: , :
12	instantiation	19, 28, 29, 30	⊢
	: , :
13	instantiation	21, 20	⊢
	:
14	instantiation	22, 20, 24	,  ⊢
	: , :
15	theorem		⊢
	proveit.numbers.exponentiation.complex_power_of_complex_power
16	instantiation	21, 23	⊢
	:
17	instantiation	22, 23, 24	,  ⊢
	: , :
18	instantiation	93, 74, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.division.neg_frac_neg_numerator
20	instantiation	27, 26, 29, 30	⊢
	: , :
21	theorem		⊢
	proveit.numbers.negation.complex_closure
22	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
23	instantiation	27, 28, 29, 30	⊢
	: , :
24	instantiation	93, 68, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
26	instantiation	34, 32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.division.div_complex_closure
28	instantiation	34, 35, 36	⊢
	: , : , :
29	instantiation	93, 68, 37	⊢
	: , : , :
30	instantiation	38, 90	⊢
	:
31	instantiation	93, 72, 39	⊢
	: , : , :
32	instantiation	61, 51, 40	⊢
	: , :
33	instantiation	44, 41, 42	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.equality.sub_right_side_into
35	instantiation	61, 51, 43	⊢
	: , :
36	instantiation	44, 45, 46	⊢
	: , : , :
37	instantiation	93, 72, 47	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
39	instantiation	93, 78, 48	⊢
	: , : , :
40	instantiation	61, 57, 50	⊢
	: , :
41	instantiation	52, 95, 85, 53, 49, 54, 51, 57, 50	⊢
	: , : , : , : , : , :
42	instantiation	52, 53, 85, 54, 55, 49, 62, 63, 57, 50	⊢
	: , : , : , : , : , :
43	instantiation	61, 57, 58	⊢
	: , :
44	axiom		⊢
	proveit.logic.equality.equals_transitivity
45	instantiation	52, 95, 85, 53, 56, 54, 51, 57, 58	⊢
	: , : , : , : , : , :
46	instantiation	52, 53, 85, 54, 55, 56, 62, 63, 57, 58	⊢
	: , : , : , : , : , :
47	instantiation	93, 78, 87	⊢
	: , : , :
48	instantiation	93, 76, 59	⊢
	: , : , :
49	instantiation	64	⊢
	: , :
50	instantiation	93, 68, 60	⊢
	: , : , :
51	instantiation	61, 62, 63	⊢
	: , :
52	theorem		⊢
	proveit.numbers.multiplication.disassociation
53	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
54	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
55	instantiation	64	⊢
	: , :
56	instantiation	64	⊢
	: , :
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
58	instantiation	93, 68, 65	⊢
	: , : , :
59	assumption		⊢
60	instantiation	93, 72, 66	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
62	instantiation	93, 68, 67	⊢
	: , : , :
63	instantiation	93, 68, 69	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
65	instantiation	93, 72, 70	⊢
	: , : , :
66	instantiation	93, 78, 71	⊢
	: , : , :
67	instantiation	93, 72, 73	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
69	instantiation	93, 74, 75	⊢
	: , : , :
70	instantiation	93, 78, 84	⊢
	: , : , :
71	instantiation	93, 76, 77	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
73	instantiation	93, 78, 79	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
76	instantiation	80, 81, 82	⊢
	: , :
77	instantiation	83, 84, 90	⊢
	: , :
78	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
79	instantiation	93, 94, 85	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
81	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
82	instantiation	86, 87, 88	⊢
	: , :
83	theorem		⊢
	proveit.numbers.modular.mod_natpos_in_interval
84	assumption		⊢
85	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
86	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
87	instantiation	93, 89, 90	⊢
	: , : , :
88	instantiation	91, 92	⊢
	:
89	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
90	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
91	theorem		⊢
	proveit.numbers.negation.int_closure
92	instantiation	93, 94, 95	⊢
	: , : , :
93	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
95	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements