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	2, 3, 4	,  ⊢
	: , : , :
2	theorem		⊢
	proveit.logic.equality.sub_left_side_into
3	instantiation	20, 21, 5, 6	,  ⊢
	: , : , : , :
4	instantiation	7, 8	⊢
	: , : , :
5	instantiation	9, 10, 11, 12	⊢
	: , :
6	instantiation	13, 21, 14, 15	,  ⊢
	: , : , : , :
7	axiom		⊢
	proveit.logic.equality.substitution
8	instantiation	16, 66	⊢
	:
9	theorem		⊢
	proveit.numbers.division.div_complex_closure
10	instantiation	99, 79, 70	⊢
	: , : , :
11	instantiation	17, 66	⊢
	:
12	instantiation	18, 26, 19	⊢
	: , :
13	theorem		⊢
	proveit.linear_algebra.addition.binary_closure
14	theorem		⊢
	proveit.physics.quantum.algebra.ket_zero_in_qubit_space
15	instantiation	20, 21, 22, 23	,  ⊢
	: , : , : , :
16	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
17	theorem		⊢
	proveit.numbers.exponentiation.sqrt_complex_closure
18	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
19	instantiation	24, 25, 26	⊢
	: , :
20	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
21	instantiation	27, 38	⊢
	:
22	instantiation	65, 28, 29	,  ⊢
	: , :
23	theorem		⊢
	proveit.physics.quantum.algebra.ket_one_in_qubit_space
24	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
25	instantiation	99, 31, 30	⊢
	: , : , :
26	instantiation	99, 31, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
28	instantiation	99, 79, 33	⊢
	: , : , :
29	instantiation	44, 34, 35	,  ⊢
	: , : , :
30	instantiation	99, 37, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
32	instantiation	99, 37, 38	⊢
	: , : , :
33	instantiation	99, 72, 39	⊢
	: , : , :
34	instantiation	59, 47, 40	,  ⊢
	: , :
35	instantiation	41, 42, 43	,  ⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
40	instantiation	44, 45, 46	,  ⊢
	: , : , :
41	axiom		⊢
	proveit.logic.equality.equals_transitivity
42	instantiation	52, 84, 48, 53, 50, 54, 47, 60, 61, 56	,  ⊢
	: , : , : , : , : , :
43	instantiation	52, 53, 98, 48, 54, 49, 50, 66, 57, 60, 61, 56	,  ⊢
	: , : , : , : , : , :
44	theorem		⊢
	proveit.logic.equality.sub_right_side_into
45	instantiation	59, 51, 56	,  ⊢
	: , :
46	instantiation	52, 53, 98, 84, 54, 55, 60, 61, 56	,  ⊢
	: , : , : , : , : , :
47	instantiation	59, 66, 57	⊢
	: , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
49	instantiation	62	⊢
	: , :
50	instantiation	58	⊢
	: , : , :
51	instantiation	59, 60, 61	,  ⊢
	: , :
52	theorem		⊢
	proveit.numbers.multiplication.disassociation
53	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
54	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
55	instantiation	62	⊢
	: , :
56	instantiation	99, 79, 63	⊢
	: , : , :
57	instantiation	99, 79, 64	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
59	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
60	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
61	instantiation	65, 66, 67	,  ⊢
	: , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
63	instantiation	68, 69, 70, 71	⊢
	: , : , :
64	instantiation	99, 72, 73	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
66	instantiation	99, 79, 74	⊢
	: , : , :
67	instantiation	75, 76	,  ⊢
	:
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
70	instantiation	99, 82, 77	⊢
	: , : , :
71	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
72	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
74	instantiation	99, 82, 78	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.negation.complex_closure
76	instantiation	99, 79, 80	,  ⊢
	: , : , :
77	instantiation	99, 85, 81	⊢
	: , : , :
78	instantiation	99, 85, 94	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
80	instantiation	99, 82, 83	,  ⊢
	: , : , :
81	instantiation	99, 97, 84	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
83	instantiation	99, 85, 86	,  ⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
85	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
86	instantiation	99, 87, 88	,  ⊢
	: , : , :
87	instantiation	89, 90, 91	⊢
	: , :
88	assumption		⊢
89	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
90	instantiation	92, 93, 94	⊢
	: , :
91	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
92	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
93	instantiation	95, 96	⊢
	:
94	instantiation	99, 97, 98	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.negation.int_closure
96	instantiation	99, 100, 101	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
98	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
99	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
100	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
101	assumption		⊢