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	⊢
	: , : , : , :
1	reference	15	⊢
2	reference	16	⊢
3	instantiation	5, 6, 7, 8	⊢
	: , :
4	instantiation	9, 16, 10, 11	⊢
	: , : , : , :
5	theorem		⊢
	proveit.numbers.division.div_complex_closure
6	instantiation	87, 70, 65	⊢
	: , : , :
7	instantiation	12, 61	⊢
	:
8	instantiation	13, 21, 14	⊢
	: , :
9	theorem		⊢
	proveit.linear_algebra.addition.binary_closure
10	theorem		⊢
	proveit.physics.quantum.algebra.ket_zero_in_qubit_space
11	instantiation	15, 16, 17, 18	⊢
	: , : , : , :
12	theorem		⊢
	proveit.numbers.exponentiation.sqrt_complex_closure
13	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
14	instantiation	19, 20, 21	⊢
	: , :
15	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
16	instantiation	22, 33	⊢
	:
17	instantiation	60, 23, 24	⊢
	: , :
18	theorem		⊢
	proveit.physics.quantum.algebra.ket_one_in_qubit_space
19	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
20	instantiation	87, 26, 25	⊢
	: , : , :
21	instantiation	87, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
23	instantiation	87, 70, 28	⊢
	: , : , :
24	instantiation	39, 29, 30	⊢
	: , : , :
25	instantiation	87, 32, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
27	instantiation	87, 32, 33	⊢
	: , : , :
28	instantiation	87, 67, 34	⊢
	: , : , :
29	instantiation	54, 42, 35	⊢
	: , :
30	instantiation	36, 37, 38	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
35	instantiation	39, 40, 41	⊢
	: , : , :
36	axiom		⊢
	proveit.logic.equality.equals_transitivity
37	instantiation	47, 89, 43, 48, 45, 49, 42, 55, 56, 51	⊢
	: , : , : , : , : , :
38	instantiation	47, 48, 79, 43, 49, 44, 45, 61, 52, 55, 56, 51	⊢
	: , : , : , : , : , :
39	theorem		⊢
	proveit.logic.equality.sub_right_side_into
40	instantiation	54, 46, 51	⊢
	: , :
41	instantiation	47, 48, 79, 89, 49, 50, 55, 56, 51	⊢
	: , : , : , : , : , :
42	instantiation	54, 61, 52	⊢
	: , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
44	instantiation	57	⊢
	: , :
45	instantiation	53	⊢
	: , : , :
46	instantiation	54, 55, 56	⊢
	: , :
47	theorem		⊢
	proveit.numbers.multiplication.disassociation
48	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
49	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
50	instantiation	57	⊢
	: , :
51	instantiation	87, 70, 58	⊢
	: , : , :
52	instantiation	87, 70, 59	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
54	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
55	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
56	instantiation	60, 61, 62	⊢
	: , :
57	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
58	instantiation	63, 64, 65, 66	⊢
	: , : , :
59	instantiation	87, 67, 68	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
61	instantiation	87, 70, 69	⊢
	: , : , :
62	instantiation	87, 70, 71	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
65	instantiation	87, 74, 72	⊢
	: , : , :
66	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
69	instantiation	87, 74, 73	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
71	instantiation	87, 74, 75	⊢
	: , : , :
72	instantiation	87, 77, 86	⊢
	: , : , :
73	instantiation	87, 77, 76	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
75	instantiation	87, 77, 78	⊢
	: , : , :
76	instantiation	87, 88, 79	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
78	instantiation	80, 81, 82	⊢
	: , :
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
80	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
81	instantiation	87, 83, 84	⊢
	: , : , :
82	instantiation	85, 86	⊢
	:
83	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
84	assumption		⊢
85	theorem		⊢
	proveit.numbers.negation.int_closure
86	instantiation	87, 88, 89	⊢
	: , : , :
87	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
88	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
89	theorem		⊢
	proveit.numbers.numerals.decimals.nat1