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