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	generalization	1	⊢
1	instantiation	2, 8, 3, 4, 10, 5, 6, 7	,  ⊢
	: , : , : , :
2	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
3	instantiation	47	⊢
	: , :
4	instantiation	13, 8	⊢
	:
5	instantiation	47	⊢
	: , :
6	theorem		⊢
	proveit.physics.quantum.algebra.ket_zero_in_qubit_space
7	instantiation	9, 10, 11, 12	,  ⊢
	: , : , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
9	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
10	instantiation	13, 14	⊢
	:
11	instantiation	15, 16, 17	,  ⊢
	: , :
12	instantiation	18, 75, 61	,  ⊢
	: , :
13	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
14	instantiation	19, 73, 70	⊢
	: , :
15	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
16	instantiation	76, 51, 20	⊢
	: , : , :
17	instantiation	28, 21, 22	,  ⊢
	: , : , :
18	theorem		⊢
	proveit.physics.quantum.algebra.num_ket_in_register_space
19	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
20	instantiation	76, 56, 23	⊢
	: , : , :
21	instantiation	44, 31, 24	,  ⊢
	: , :
22	instantiation	25, 26, 27	,  ⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
24	instantiation	28, 29, 30	,  ⊢
	: , : , :
25	axiom		⊢
	proveit.logic.equality.equals_transitivity
26	instantiation	36, 78, 32, 37, 34, 38, 31, 45, 46, 40	,  ⊢
	: , : , : , : , : , :
27	instantiation	36, 37, 73, 32, 38, 33, 34, 41, 42, 45, 46, 40	,  ⊢
	: , : , : , : , : , :
28	theorem		⊢
	proveit.logic.equality.sub_right_side_into
29	instantiation	44, 35, 40	,  ⊢
	: , :
30	instantiation	36, 37, 73, 78, 38, 39, 45, 46, 40	,  ⊢
	: , : , : , : , : , :
31	instantiation	44, 41, 42	⊢
	: , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
33	instantiation	47	⊢
	: , :
34	instantiation	43	⊢
	: , : , :
35	instantiation	44, 45, 46	⊢
	: , :
36	theorem		⊢
	proveit.numbers.multiplication.disassociation
37	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
38	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
39	instantiation	47	⊢
	: , :
40	instantiation	76, 51, 48	,  ⊢
	: , : , :
41	instantiation	76, 51, 49	⊢
	: , : , :
42	instantiation	76, 51, 50	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
44	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
45	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
46	instantiation	76, 51, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
48	instantiation	76, 54, 53	,  ⊢
	: , : , :
49	instantiation	76, 54, 55	⊢
	: , : , :
50	instantiation	76, 56, 57	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
52	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
53	instantiation	76, 59, 58	,  ⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
55	instantiation	76, 59, 69	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
58	instantiation	76, 60, 61	,  ⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
60	instantiation	62, 63, 64	⊢
	: , :
61	assumption		⊢
62	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
63	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
64	instantiation	65, 66, 67	⊢
	: , :
65	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
66	instantiation	68, 69, 70	⊢
	: , :
67	instantiation	71, 72	⊢
	:
68	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
69	instantiation	76, 77, 73	⊢
	: , : , :
70	instantiation	76, 74, 75	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.negation.int_closure
72	instantiation	76, 77, 78	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
74	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
75	assumption		⊢
76	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
77	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat1