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	⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4, 54, 95, 55, 5, 21, 6, 7	⊢
	: , : , : , : , : , : , : , : , : , :
3	theorem		⊢
	proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
4	instantiation	29, 30, 8	⊢
	: , :
5	instantiation	27, 9	⊢
	:
6	theorem		⊢
	proveit.physics.quantum.algebra.ket_one_in_qubit_space
7	modus ponens	10, 11	⊢
8	instantiation	45, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
10	instantiation	14, 15, 21	⊢
	: , : , : , : , : , :
11	generalization	16	⊢
12	instantiation	61, 48, 17	⊢
	: , :
13	instantiation	41, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
16	instantiation	20, 21, 22, 23	,  ⊢
	: , : , : , :
17	instantiation	45, 24, 25	⊢
	: , : , :
18	instantiation	53, 95, 49, 54, 26, 55, 48, 62, 63, 33	⊢
	: , : , : , : , : , :
19	instantiation	53, 54, 90, 49, 55, 50, 26, 58, 59, 62, 63, 33	⊢
	: , : , : , : , : , :
20	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
21	instantiation	27, 28	⊢
	:
22	instantiation	29, 30, 31	,  ⊢
	: , :
23	instantiation	32, 92, 78	,  ⊢
	: , :
24	instantiation	61, 52, 33	⊢
	: , :
25	instantiation	53, 54, 90, 95, 55, 56, 62, 63, 33	⊢
	: , : , : , : , : , :
26	instantiation	60	⊢
	: , : , :
27	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
28	instantiation	34, 90, 87	⊢
	: , :
29	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
30	instantiation	93, 68, 35	⊢
	: , : , :
31	instantiation	45, 36, 37	,  ⊢
	: , : , :
32	theorem		⊢
	proveit.physics.quantum.algebra.num_ket_in_register_space
33	instantiation	93, 68, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
35	instantiation	93, 73, 39	⊢
	: , : , :
36	instantiation	61, 48, 40	,  ⊢
	: , :
37	instantiation	41, 42, 43	,  ⊢
	: , : , :
38	instantiation	93, 71, 44	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
40	instantiation	45, 46, 47	,  ⊢
	: , : , :
41	axiom		⊢
	proveit.logic.equality.equals_transitivity
42	instantiation	53, 95, 49, 54, 51, 55, 48, 62, 63, 57	,  ⊢
	: , : , : , : , : , :
43	instantiation	53, 54, 90, 49, 55, 50, 51, 58, 59, 62, 63, 57	,  ⊢
	: , : , : , : , : , :
44	instantiation	93, 76, 83	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.equality.sub_right_side_into
46	instantiation	61, 52, 57	,  ⊢
	: , :
47	instantiation	53, 54, 90, 95, 55, 56, 62, 63, 57	,  ⊢
	: , : , : , : , : , :
48	instantiation	61, 58, 59	⊢
	: , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
50	instantiation	64	⊢
	: , :
51	instantiation	60	⊢
	: , : , :
52	instantiation	61, 62, 63	⊢
	: , :
53	theorem		⊢
	proveit.numbers.multiplication.disassociation
54	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
55	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
56	instantiation	64	⊢
	: , :
57	instantiation	93, 68, 65	,  ⊢
	: , : , :
58	instantiation	93, 68, 66	⊢
	: , : , :
59	instantiation	93, 68, 67	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
61	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
62	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
63	instantiation	93, 68, 69	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
65	instantiation	93, 71, 70	,  ⊢
	: , : , :
66	instantiation	93, 71, 72	⊢
	: , : , :
67	instantiation	93, 73, 74	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
69	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
70	instantiation	93, 76, 75	,  ⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
72	instantiation	93, 76, 86	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
75	instantiation	93, 77, 78	,  ⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
77	instantiation	79, 80, 81	⊢
	: , :
78	assumption		⊢
79	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
80	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
81	instantiation	82, 83, 84	⊢
	: , :
82	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
83	instantiation	85, 86, 87	⊢
	: , :
84	instantiation	88, 89	⊢
	:
85	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
86	instantiation	93, 94, 90	⊢
	: , : , :
87	instantiation	93, 91, 92	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.negation.int_closure
89	instantiation	93, 94, 95	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
91	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
92	assumption		⊢
93	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
95	theorem		⊢
	proveit.numbers.numerals.decimals.nat1