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	16	⊢
2	reference	17	⊢
3	instantiation	5, 6, 7, 8	⊢
	: , :
4	instantiation	9, 17, 10, 11	,  ⊢
	: , : , : , :
5	theorem		⊢
	proveit.numbers.division.div_complex_closure
6	instantiation	91, 71, 12	⊢
	: , : , :
7	instantiation	13, 63	⊢
	:
8	instantiation	14, 23, 15	⊢
	: , :
9	theorem		⊢
	proveit.linear_algebra.addition.binary_closure
10	theorem		⊢
	proveit.physics.quantum.algebra.ket_zero_in_qubit_space
11	instantiation	16, 17, 18, 19	,  ⊢
	: , : , : , :
12	instantiation	91, 74, 20	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.sqrt_complex_closure
14	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
15	instantiation	21, 22, 23	⊢
	: , :
16	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
17	instantiation	24, 35	⊢
	:
18	instantiation	62, 25, 26	,  ⊢
	: , :
19	theorem		⊢
	proveit.physics.quantum.algebra.ket_one_in_qubit_space
20	instantiation	91, 77, 86	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
22	instantiation	91, 28, 27	⊢
	: , : , :
23	instantiation	91, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
25	instantiation	91, 71, 30	⊢
	: , : , :
26	instantiation	41, 31, 32	,  ⊢
	: , : , :
27	instantiation	91, 34, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
29	instantiation	91, 34, 35	⊢
	: , : , :
30	instantiation	91, 65, 36	⊢
	: , : , :
31	instantiation	56, 44, 37	,  ⊢
	: , :
32	instantiation	38, 39, 40	,  ⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
37	instantiation	41, 42, 43	,  ⊢
	: , : , :
38	axiom		⊢
	proveit.logic.equality.equals_transitivity
39	instantiation	49, 90, 45, 50, 47, 51, 44, 57, 58, 53	,  ⊢
	: , : , : , : , : , :
40	instantiation	49, 50, 76, 45, 51, 46, 47, 63, 54, 57, 58, 53	,  ⊢
	: , : , : , : , : , :
41	theorem		⊢
	proveit.logic.equality.sub_right_side_into
42	instantiation	56, 48, 53	,  ⊢
	: , :
43	instantiation	49, 50, 76, 90, 51, 52, 57, 58, 53	,  ⊢
	: , : , : , : , : , :
44	instantiation	56, 63, 54	⊢
	: , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
46	instantiation	59	⊢
	: , :
47	instantiation	55	⊢
	: , : , :
48	instantiation	56, 57, 58	,  ⊢
	: , :
49	theorem		⊢
	proveit.numbers.multiplication.disassociation
50	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
51	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
52	instantiation	59	⊢
	: , :
53	instantiation	91, 71, 60	⊢
	: , : , :
54	instantiation	91, 71, 61	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
56	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
58	instantiation	62, 63, 64	,  ⊢
	: , :
59	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
60	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
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		⊢