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	modus ponens	1, 2	⊢
1	instantiation	3, 4	⊢
	: , : , : , :
2	generalization	5	⊢
3	axiom		⊢
	proveit.linear_algebra.addition.scalar_sum_extends_number_sum
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
5	instantiation	55, 6, 7	,  ⊢
	: , :
6	instantiation	8, 9, 10	⊢
	: , :
7	instantiation	11, 12, 13	,  ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
9	instantiation	97, 68, 14	⊢
	: , : , :
10	instantiation	30, 15, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.logic.equality.sub_left_side_into
12	instantiation	17, 50, 51, 18, 19	,  ⊢
	: , : , : , :
13	instantiation	20, 21, 22	⊢
	: , : , :
14	instantiation	97, 73, 23	⊢
	: , : , :
15	instantiation	55, 33, 24	⊢
	: , :
16	instantiation	25, 26, 27	⊢
	: , : , :
17	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_is_ket
18	instantiation	49, 50, 51, 28	⊢
	: , : , :
19	instantiation	29, 96, 82	⊢
	: , :
20	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
22	instantiation	58	⊢
	: , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
24	instantiation	30, 31, 32	⊢
	: , : , :
25	axiom		⊢
	proveit.logic.equality.equals_transitivity
26	instantiation	41, 99, 34, 42, 36, 43, 33, 56, 57, 45	⊢
	: , : , : , : , : , :
27	instantiation	41, 42, 94, 34, 43, 35, 36, 46, 47, 56, 57, 45	⊢
	: , : , : , : , : , :
28	instantiation	37, 50, 51, 38, 39	⊢
	: , : , : , : , :
29	theorem		⊢
	proveit.physics.quantum.algebra.num_ket_in_register_space
30	theorem		⊢
	proveit.logic.equality.sub_right_side_into
31	instantiation	55, 40, 45	⊢
	: , :
32	instantiation	41, 42, 94, 99, 43, 44, 56, 57, 45	⊢
	: , : , : , : , : , :
33	instantiation	55, 46, 47	⊢
	: , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
35	instantiation	58	⊢
	: , :
36	instantiation	48	⊢
	: , : , :
37	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
38	instantiation	49, 50, 51, 52	⊢
	: , : , :
39	instantiation	53, 76, 54	⊢
	: , : , :
40	instantiation	55, 56, 57	⊢
	: , :
41	theorem		⊢
	proveit.numbers.multiplication.disassociation
42	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
43	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
44	instantiation	58	⊢
	: , :
45	instantiation	97, 68, 59	⊢
	: , : , :
46	instantiation	97, 68, 60	⊢
	: , : , :
47	instantiation	97, 68, 61	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
49	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
50	instantiation	62, 76	⊢
	:
51	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
52	instantiation	63, 96, 64	⊢
	: , :
53	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
54	instantiation	65, 66, 67	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
56	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
57	instantiation	97, 68, 69	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
59	instantiation	97, 71, 70	⊢
	: , : , :
60	instantiation	97, 71, 72	⊢
	: , : , :
61	instantiation	97, 73, 74	⊢
	: , : , :
62	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
63	theorem		⊢
	proveit.physics.quantum.algebra.num_bra_is_lin_map
64	assumption		⊢
65	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
66	instantiation	75, 76	⊢
	:
67	instantiation	77, 96	⊢
	:
68	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
69	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
70	instantiation	97, 79, 78	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
72	instantiation	97, 79, 90	⊢
	: , : , :
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	theorem		⊢
	proveit.linear_algebra.matrices.unitaries_are_matrices
76	instantiation	80, 94, 91	⊢
	: , :
77	theorem		⊢
	proveit.physics.quantum.QFT.invFT_is_unitary
78	instantiation	97, 81, 82	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
80	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
81	instantiation	83, 84, 85	⊢
	: , :
82	assumption		⊢
83	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
84	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
85	instantiation	86, 87, 88	⊢
	: , :
86	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
87	instantiation	89, 90, 91	⊢
	: , :
88	instantiation	92, 93	⊢
	:
89	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
90	instantiation	97, 98, 94	⊢
	: , : , :
91	instantiation	97, 95, 96	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.negation.int_closure
93	instantiation	97, 98, 99	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
95	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
96	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
97	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
99	theorem		⊢
	proveit.numbers.numerals.decimals.nat1