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