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	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
2	instantiation	4, 5, 6	⊢
	: , :
3	instantiation	7, 8, 9	,  ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
5	instantiation	93, 64, 10	⊢
	: , : , :
6	instantiation	26, 11, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.logic.equality.sub_left_side_into
8	instantiation	13, 46, 47, 14, 15	,  ⊢
	: , : , : , :
9	instantiation	16, 17, 18	⊢
	: , : , :
10	instantiation	93, 69, 19	⊢
	: , : , :
11	instantiation	51, 29, 20	⊢
	: , :
12	instantiation	21, 22, 23	⊢
	: , : , :
13	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_is_ket
14	instantiation	45, 46, 47, 24	⊢
	: , : , :
15	instantiation	25, 92, 78	⊢
	: , :
16	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
18	instantiation	54	⊢
	: , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
20	instantiation	26, 27, 28	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.equality.equals_transitivity
22	instantiation	37, 95, 30, 38, 32, 39, 29, 52, 53, 41	⊢
	: , : , : , : , : , :
23	instantiation	37, 38, 90, 30, 39, 31, 32, 42, 43, 52, 53, 41	⊢
	: , : , : , : , : , :
24	instantiation	33, 46, 47, 34, 35	⊢
	: , : , : , : , :
25	theorem		⊢
	proveit.physics.quantum.algebra.num_ket_in_register_space
26	theorem		⊢
	proveit.logic.equality.sub_right_side_into
27	instantiation	51, 36, 41	⊢
	: , :
28	instantiation	37, 38, 90, 95, 39, 40, 52, 53, 41	⊢
	: , : , : , : , : , :
29	instantiation	51, 42, 43	⊢
	: , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
31	instantiation	54	⊢
	: , :
32	instantiation	44	⊢
	: , : , :
33	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
34	instantiation	45, 46, 47, 48	⊢
	: , : , :
35	instantiation	49, 72, 50	⊢
	: , : , :
36	instantiation	51, 52, 53	⊢
	: , :
37	theorem		⊢
	proveit.numbers.multiplication.disassociation
38	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
39	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
40	instantiation	54	⊢
	: , :
41	instantiation	93, 64, 55	⊢
	: , : , :
42	instantiation	93, 64, 56	⊢
	: , : , :
43	instantiation	93, 64, 57	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
45	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
46	instantiation	58, 72	⊢
	:
47	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
48	instantiation	59, 92, 60	⊢
	: , :
49	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
50	instantiation	61, 62, 63	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
52	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
53	instantiation	93, 64, 65	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
55	instantiation	93, 67, 66	⊢
	: , : , :
56	instantiation	93, 67, 68	⊢
	: , : , :
57	instantiation	93, 69, 70	⊢
	: , : , :
58	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
59	theorem		⊢
	proveit.physics.quantum.algebra.num_bra_is_lin_map
60	assumption		⊢
61	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
62	instantiation	71, 72	⊢
	:
63	instantiation	73, 92	⊢
	:
64	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
65	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
66	instantiation	93, 75, 74	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
68	instantiation	93, 75, 86	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
70	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
71	theorem		⊢
	proveit.linear_algebra.matrices.unitaries_are_matrices
72	instantiation	76, 90, 87	⊢
	: , :
73	theorem		⊢
	proveit.physics.quantum.QFT.invFT_is_unitary
74	instantiation	93, 77, 78	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
76	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
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	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
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