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