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	axiom		⊢
	proveit.physics.quantum.QPE._psi_t_def
2	reference	60	⊢
3	instantiation	55, 5, 6	⊢
	: , : , :
4	instantiation	80, 7, 8	⊢
	: , : , :
5	instantiation	9, 10, 25, 11	⊢
	: , : , :
6	instantiation	12, 25, 13	⊢
	: , :
7	instantiation	88, 14	⊢
	: , : , :
8	instantiation	15, 37, 16	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
10	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
11	instantiation	17, 25	⊢
	:
12	theorem		⊢
	proveit.numbers.addition.commutation
13	instantiation	18, 25	⊢
	:
14	instantiation	19, 60, 20	⊢
	: , : , :
15	axiom		⊢
	proveit.linear_algebra.tensors.unary_tensor_prod_def
16	instantiation	36, 37, 21, 22	⊢
	: , : , : , :
17	theorem		⊢
	proveit.numbers.addition.elim_zero_left
18	theorem		⊢
	proveit.numbers.negation.complex_closure
19	theorem		⊢
	proveit.core_expr_types.tuples.tuple_eq_via_elem_eq
20	instantiation	88, 23	⊢
	: , : , :
21	instantiation	24, 25, 26, 27	⊢
	: , :
22	instantiation	28, 37, 29, 30	⊢
	: , : , : , :
23	instantiation	88, 31	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.division.div_complex_closure
25	instantiation	101, 93, 32	⊢
	: , : , :
26	instantiation	33, 91	⊢
	:
27	instantiation	34, 44, 35	⊢
	: , :
28	theorem		⊢
	proveit.linear_algebra.addition.binary_closure
29	theorem		⊢
	proveit.physics.quantum.algebra.ket_zero_in_qubit_space
30	instantiation	36, 37, 38, 39	⊢
	: , : , : , :
31	instantiation	88, 40	⊢
	: , : , :
32	instantiation	101, 97, 41	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.exponentiation.sqrt_complex_closure
34	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
35	instantiation	42, 43, 44	⊢
	: , :
36	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
37	instantiation	45, 62	⊢
	:
38	instantiation	46, 47, 48	⊢
	: , :
39	theorem		⊢
	proveit.physics.quantum.algebra.ket_one_in_qubit_space
40	instantiation	88, 49	⊢
	: , : , :
41	instantiation	101, 99, 50	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
43	instantiation	101, 52, 51	⊢
	: , : , :
44	instantiation	101, 52, 53	⊢
	: , : , :
45	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
46	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
47	instantiation	101, 93, 54	⊢
	: , : , :
48	instantiation	55, 56, 57	⊢
	: , : , :
49	instantiation	80, 58, 59	⊢
	: , : , :
50	instantiation	101, 102, 71	⊢
	: , : , :
51	instantiation	101, 61, 60	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
53	instantiation	101, 61, 62	⊢
	: , : , :
54	instantiation	101, 95, 63	⊢
	: , : , :
55	theorem		⊢
	proveit.logic.equality.sub_right_side_into
56	instantiation	84, 72, 64	⊢
	: , :
57	instantiation	80, 65, 66	⊢
	: , : , :
58	instantiation	88, 67	⊢
	: , : , :
59	instantiation	68, 69, 71, 70, 91, 85, 78, 79	⊢
	: , : , : , :
60	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
62	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
64	instantiation	84, 78, 79	⊢
	: , :
65	instantiation	73, 71, 103, 74, 77, 75, 72, 78, 79	⊢
	: , : , : , : , : , :
66	instantiation	73, 74, 103, 75, 76, 77, 91, 85, 78, 79	⊢
	: , : , : , : , : , :
67	instantiation	80, 81, 82	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
70	instantiation	83	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
72	instantiation	84, 91, 85	⊢
	: , :
73	theorem		⊢
	proveit.numbers.multiplication.disassociation
74	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
75	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
76	instantiation	86	⊢
	: , :
77	instantiation	86	⊢
	: , :
78	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
79	instantiation	101, 93, 87	⊢
	: , : , :
80	axiom		⊢
	proveit.logic.equality.equals_transitivity
81	instantiation	88, 89	⊢
	: , : , :
82	instantiation	90, 91	⊢
	:
83	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
84	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
85	instantiation	101, 93, 92	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
87	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
88	axiom		⊢
	proveit.logic.equality.substitution
89	theorem		⊢
	proveit.numbers.negation.negated_zero
90	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
91	instantiation	101, 93, 94	⊢
	: , : , :
92	instantiation	101, 95, 96	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
94	instantiation	101, 97, 98	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
96	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
97	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
98	instantiation	101, 99, 100	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
100	instantiation	101, 102, 103	⊢
	: , : , :
101	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
102	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
103	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements