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	generalization	1	⊢
1	instantiation	14, 15, 2, 3	,  ⊢
	: , : , : , :
2	instantiation	4, 5, 6, 7	⊢
	: , :
3	instantiation	8, 15, 9, 10	,  ⊢
	: , : , : , :
4	theorem		⊢
	proveit.numbers.division.div_complex_closure
5	instantiation	93, 73, 64	⊢
	: , : , :
6	instantiation	11, 60	⊢
	:
7	instantiation	12, 20, 13	⊢
	: , :
8	theorem		⊢
	proveit.linear_algebra.addition.binary_closure
9	theorem		⊢
	proveit.physics.quantum.algebra.ket_zero_in_qubit_space
10	instantiation	14, 15, 16, 17	,  ⊢
	: , : , : , :
11	theorem		⊢
	proveit.numbers.exponentiation.sqrt_complex_closure
12	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
13	instantiation	18, 19, 20	⊢
	: , :
14	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
15	instantiation	21, 32	⊢
	:
16	instantiation	59, 22, 23	,  ⊢
	: , :
17	theorem		⊢
	proveit.physics.quantum.algebra.ket_one_in_qubit_space
18	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
19	instantiation	93, 25, 24	⊢
	: , : , :
20	instantiation	93, 25, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
22	instantiation	93, 73, 27	⊢
	: , : , :
23	instantiation	38, 28, 29	,  ⊢
	: , : , :
24	instantiation	93, 31, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
26	instantiation	93, 31, 32	⊢
	: , : , :
27	instantiation	93, 66, 33	⊢
	: , : , :
28	instantiation	53, 41, 34	,  ⊢
	: , :
29	instantiation	35, 36, 37	,  ⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
34	instantiation	38, 39, 40	,  ⊢
	: , : , :
35	axiom		⊢
	proveit.logic.equality.equals_transitivity
36	instantiation	46, 92, 42, 47, 44, 48, 41, 54, 55, 50	,  ⊢
	: , : , : , : , : , :
37	instantiation	46, 47, 78, 42, 48, 43, 44, 60, 51, 54, 55, 50	,  ⊢
	: , : , : , : , : , :
38	theorem		⊢
	proveit.logic.equality.sub_right_side_into
39	instantiation	53, 45, 50	,  ⊢
	: , :
40	instantiation	46, 47, 78, 92, 48, 49, 54, 55, 50	,  ⊢
	: , : , : , : , : , :
41	instantiation	53, 60, 51	⊢
	: , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
43	instantiation	56	⊢
	: , :
44	instantiation	52	⊢
	: , : , :
45	instantiation	53, 54, 55	,  ⊢
	: , :
46	theorem		⊢
	proveit.numbers.multiplication.disassociation
47	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
48	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
49	instantiation	56	⊢
	: , :
50	instantiation	93, 73, 57	⊢
	: , : , :
51	instantiation	93, 73, 58	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
53	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
55	instantiation	59, 60, 61	,  ⊢
	: , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
57	instantiation	62, 63, 64, 65	⊢
	: , : , :
58	instantiation	93, 66, 67	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
60	instantiation	93, 73, 68	⊢
	: , : , :
61	instantiation	69, 70	,  ⊢
	:
62	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
64	instantiation	93, 76, 71	⊢
	: , : , :
65	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
68	instantiation	93, 76, 72	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.negation.complex_closure
70	instantiation	93, 73, 74	,  ⊢
	: , : , :
71	instantiation	93, 79, 88	⊢
	: , : , :
72	instantiation	93, 79, 75	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
74	instantiation	93, 76, 77	,  ⊢
	: , : , :
75	instantiation	93, 91, 78	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
77	instantiation	93, 79, 80	,  ⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
79	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
80	instantiation	93, 81, 82	,  ⊢
	: , : , :
81	instantiation	83, 84, 85	⊢
	: , :
82	assumption		⊢
83	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
84	instantiation	86, 87, 88	⊢
	: , :
85	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
86	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
87	instantiation	89, 90	⊢
	:
88	instantiation	93, 91, 92	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.negation.int_closure
90	instantiation	93, 94, 95	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
92	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
93	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
95	assumption		⊢