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