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