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	theorem		⊢
	proveit.numbers.absolute_value.abs_even
2	instantiation	4, 5, 6	⊢
	: , :
3	instantiation	7, 8, 9*	⊢
	:
4	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
5	instantiation	80, 48, 10	⊢
	: , : , :
6	instantiation	13, 11, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.absolute_value.complex_unit_length
8	instantiation	13, 14, 15	⊢
	: , : , :
9	instantiation	16, 17	⊢
	: , :
10	instantiation	80, 51, 18	⊢
	: , : , :
11	instantiation	24, 25, 19	⊢
	: , :
12	instantiation	28, 20, 21	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.equality.sub_right_side_into
14	instantiation	43, 31, 49	⊢
	: , :
15	instantiation	26, 36, 63, 79, 38, 33, 40, 41, 42	⊢
	: , : , : , : , : , :
16	theorem		⊢
	proveit.logic.equality.equals_reversal
17	instantiation	22, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
19	instantiation	24, 39, 42	⊢
	: , :
20	instantiation	26, 79, 63, 36, 27, 38, 25, 39, 42	⊢
	: , : , : , : , : , :
21	instantiation	26, 36, 63, 38, 33, 27, 40, 41, 39, 42	⊢
	: , : , : , : , : , :
22	axiom		⊢
	proveit.logic.equality.substitution
23	instantiation	28, 29, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
25	instantiation	80, 48, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.multiplication.disassociation
27	instantiation	44	⊢
	: , :
28	axiom		⊢
	proveit.logic.equality.equals_transitivity
29	instantiation	32, 36, 63, 79, 38, 33, 40, 41, 39, 42	⊢
	: , : , : , : , : , : , :
30	instantiation	34, 79, 35, 36, 37, 38, 39, 40, 41, 42	⊢
	: , : , : , : , : , :
31	instantiation	43, 46, 47	⊢
	: , :
32	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
33	instantiation	44	⊢
	: , :
34	theorem		⊢
	proveit.numbers.multiplication.association
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
36	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
37	instantiation	45	⊢
	: , : , :
38	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
40	instantiation	80, 48, 46	⊢
	: , : , :
41	instantiation	80, 48, 47	⊢
	: , : , :
42	instantiation	80, 48, 49	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
44	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
45	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
46	instantiation	80, 65, 50	⊢
	: , : , :
47	instantiation	80, 51, 52	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
49	instantiation	53, 54, 55	⊢
	: , :
50	instantiation	80, 67, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
53	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
54	instantiation	57, 58, 59, 60	⊢
	: , : , :
55	instantiation	61, 62	⊢
	:
56	instantiation	80, 78, 63	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
59	instantiation	80, 65, 64	⊢
	: , : , :
60	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
61	theorem		⊢
	proveit.numbers.negation.real_closure
62	instantiation	80, 65, 66	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
64	instantiation	80, 67, 75	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
66	instantiation	80, 67, 68	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
68	instantiation	80, 69, 70	⊢
	: , : , :
69	instantiation	71, 72, 77	⊢
	: , :
70	assumption		⊢
71	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
72	instantiation	73, 74, 75	⊢
	: , :
73	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
74	instantiation	76, 77	⊢
	:
75	instantiation	80, 78, 79	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.negation.int_closure
77	instantiation	80, 81, 82	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
80	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
81	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
82	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements