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	reference	32	⊢
2	instantiation	4, 9, 5, 6	⊢
	: , : , : , :
3	instantiation	23, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.linear_algebra.addition.binary_closure
5	theorem		⊢
	proveit.physics.quantum.algebra.ket_zero_in_qubit_space
6	instantiation	8, 9, 10, 11	⊢
	: , : , : , :
7	instantiation	12, 13	⊢
	: , :
8	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
9	instantiation	14, 15	⊢
	:
10	instantiation	16, 17, 18	⊢
	: , :
11	theorem		⊢
	proveit.physics.quantum.algebra.ket_one_in_qubit_space
12	theorem		⊢
	proveit.logic.equality.equals_reversal
13	instantiation	23, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
16	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
17	instantiation	70, 56, 20	⊢
	: , : , :
18	instantiation	32, 21, 22	⊢
	: , : , :
19	instantiation	23, 24	⊢
	: , : , :
20	instantiation	70, 61, 25	⊢
	: , : , :
21	instantiation	49, 35, 26	⊢
	: , :
22	instantiation	27, 28, 29	⊢
	: , : , :
23	axiom		⊢
	proveit.logic.equality.substitution
24	instantiation	30, 36, 42, 41, 31, 43, 46, 47, 50, 45, 51	⊢
	: , : , : , : , : , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
26	instantiation	32, 33, 34	⊢
	: , : , :
27	axiom		⊢
	proveit.logic.equality.equals_transitivity
28	instantiation	40, 42, 36, 41, 38, 43, 35, 50, 51, 45	⊢
	: , : , : , : , : , :
29	instantiation	40, 41, 69, 36, 43, 37, 38, 46, 47, 50, 51, 45	⊢
	: , : , : , : , : , :
30	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
31	instantiation	48	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.equality.sub_right_side_into
33	instantiation	49, 39, 45	⊢
	: , :
34	instantiation	40, 41, 69, 42, 43, 44, 50, 51, 45	⊢
	: , : , : , : , : , :
35	instantiation	49, 46, 47	⊢
	: , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
37	instantiation	52	⊢
	: , :
38	instantiation	48	⊢
	: , : , :
39	instantiation	49, 50, 51	⊢
	: , :
40	theorem		⊢
	proveit.numbers.multiplication.disassociation
41	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
43	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
44	instantiation	52	⊢
	: , :
45	instantiation	70, 56, 53	⊢
	: , : , :
46	instantiation	70, 56, 54	⊢
	: , : , :
47	instantiation	70, 56, 55	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
49	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
51	instantiation	70, 56, 57	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
53	instantiation	70, 59, 58	⊢
	: , : , :
54	instantiation	70, 59, 60	⊢
	: , : , :
55	instantiation	70, 61, 62	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
57	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
58	instantiation	70, 64, 63	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
60	instantiation	70, 64, 66	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
62	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
63	instantiation	65, 66, 67	⊢
	: , :
64	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
65	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
66	instantiation	70, 68, 69	⊢
	: , : , :
67	instantiation	70, 71, 72	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
70	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
71	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
72	assumption		⊢