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	theorem		⊢
	proveit.linear_algebra.addition.binary_closure
2	reference	6	⊢
3	theorem		⊢
	proveit.physics.quantum.algebra.ket_zero_in_qubit_space
4	instantiation	5, 6, 7, 8	⊢
	: , : , : , :
5	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
6	instantiation	9, 10	⊢
	:
7	instantiation	11, 12, 13	⊢
	: , :
8	theorem		⊢
	proveit.physics.quantum.algebra.ket_one_in_qubit_space
9	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
10	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
11	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
12	instantiation	60, 46, 14	⊢
	: , : , :
13	instantiation	22, 15, 16	⊢
	: , : , :
14	instantiation	60, 51, 17	⊢
	: , : , :
15	instantiation	39, 25, 18	⊢
	: , :
16	instantiation	19, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
18	instantiation	22, 23, 24	⊢
	: , : , :
19	axiom		⊢
	proveit.logic.equality.equals_transitivity
20	instantiation	30, 32, 26, 31, 28, 33, 25, 40, 41, 35	⊢
	: , : , : , : , : , :
21	instantiation	30, 31, 59, 26, 33, 27, 28, 36, 37, 40, 41, 35	⊢
	: , : , : , : , : , :
22	theorem		⊢
	proveit.logic.equality.sub_right_side_into
23	instantiation	39, 29, 35	⊢
	: , :
24	instantiation	30, 31, 59, 32, 33, 34, 40, 41, 35	⊢
	: , : , : , : , : , :
25	instantiation	39, 36, 37	⊢
	: , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
27	instantiation	42	⊢
	: , :
28	instantiation	38	⊢
	: , : , :
29	instantiation	39, 40, 41	⊢
	: , :
30	theorem		⊢
	proveit.numbers.multiplication.disassociation
31	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
34	instantiation	42	⊢
	: , :
35	instantiation	60, 46, 43	⊢
	: , : , :
36	instantiation	60, 46, 44	⊢
	: , : , :
37	instantiation	60, 46, 45	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
39	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
41	instantiation	60, 46, 47	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
43	instantiation	60, 49, 48	⊢
	: , : , :
44	instantiation	60, 49, 50	⊢
	: , : , :
45	instantiation	60, 51, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
47	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
48	instantiation	60, 54, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
50	instantiation	60, 54, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
53	instantiation	55, 56, 57	⊢
	: , :
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
55	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
56	instantiation	60, 58, 59	⊢
	: , : , :
57	instantiation	60, 61, 62	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
62	assumption		⊢