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