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	9	⊢
2	instantiation	4, 5, 13, 25, 6	, , , ,  ⊢
	: , : , : , :
3	instantiation	18, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
5	instantiation	9, 10, 11	, ,  ⊢
	: , : , :
6	instantiation	12, 13, 14	,  ⊢
	: , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
8	instantiation	15	⊢
	: , : , :
9	theorem		⊢
	proveit.logic.equality.sub_left_side_into
10	instantiation	23, 16, 25, 17	, ,  ⊢
	: , : , :
11	instantiation	18, 19, 20	⊢
	: , : , :
12	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
13	instantiation	21, 22	⊢
	:
14	assumption		⊢
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16	instantiation	23, 24, 25, 26	,  ⊢
	: , : , :
17	assumption		⊢
18	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
20	instantiation	27	⊢
	: , :
21	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
22	assumption		⊢
23	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_ket_closure
24	assumption		⊢
25	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq