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, 5, 6, 7, 8, 9	,  ⊢
	: , : , : , : , : , : , : , : , : , :
1	theorem		⊢
	proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
2	instantiation	10, 11, 12	,  ⊢
	: , :
3	reference	76	⊢
4	reference	35	⊢
5	reference	36	⊢
6	instantiation	14, 13	⊢
	:
7	instantiation	14, 15	⊢
	:
8	theorem		⊢
	proveit.physics.quantum.algebra.ket_one_in_qubit_space
9	instantiation	16, 73, 59	,  ⊢
	: , :
10	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
11	instantiation	74, 49, 17	⊢
	: , : , :
12	instantiation	26, 18, 19	,  ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
14	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
15	instantiation	20, 71, 68	⊢
	: , :
16	theorem		⊢
	proveit.physics.quantum.algebra.num_ket_in_register_space
17	instantiation	74, 54, 21	⊢
	: , : , :
18	instantiation	42, 29, 22	,  ⊢
	: , :
19	instantiation	23, 24, 25	,  ⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
22	instantiation	26, 27, 28	,  ⊢
	: , : , :
23	axiom		⊢
	proveit.logic.equality.equals_transitivity
24	instantiation	34, 76, 30, 35, 32, 36, 29, 43, 44, 38	,  ⊢
	: , : , : , : , : , :
25	instantiation	34, 35, 71, 30, 36, 31, 32, 39, 40, 43, 44, 38	,  ⊢
	: , : , : , : , : , :
26	theorem		⊢
	proveit.logic.equality.sub_right_side_into
27	instantiation	42, 33, 38	,  ⊢
	: , :
28	instantiation	34, 35, 71, 76, 36, 37, 43, 44, 38	,  ⊢
	: , : , : , : , : , :
29	instantiation	42, 39, 40	⊢
	: , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
31	instantiation	45	⊢
	: , :
32	instantiation	41	⊢
	: , : , :
33	instantiation	42, 43, 44	⊢
	: , :
34	theorem		⊢
	proveit.numbers.multiplication.disassociation
35	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
36	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
37	instantiation	45	⊢
	: , :
38	instantiation	74, 49, 46	,  ⊢
	: , : , :
39	instantiation	74, 49, 47	⊢
	: , : , :
40	instantiation	74, 49, 48	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
42	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
43	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
44	instantiation	74, 49, 50	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
46	instantiation	74, 52, 51	,  ⊢
	: , : , :
47	instantiation	74, 52, 53	⊢
	: , : , :
48	instantiation	74, 54, 55	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
50	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
51	instantiation	74, 57, 56	,  ⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
53	instantiation	74, 57, 67	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
56	instantiation	74, 58, 59	,  ⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
58	instantiation	60, 61, 62	⊢
	: , :
59	assumption		⊢
60	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
61	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
62	instantiation	63, 64, 65	⊢
	: , :
63	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
64	instantiation	66, 67, 68	⊢
	: , :
65	instantiation	69, 70	⊢
	:
66	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
67	instantiation	74, 75, 71	⊢
	: , : , :
68	instantiation	74, 72, 73	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.negation.int_closure
70	instantiation	74, 75, 76	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
72	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
73	assumption		⊢
74	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
75	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
76	theorem		⊢
	proveit.numbers.numerals.decimals.nat1