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, 5	, , , , ,  ⊢
	: , : , : , :
1	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_in_QmultCodomain
2	reference	21	⊢
3	reference	22	⊢
4	instantiation	16, 21, 22, 6	, , , ,  ⊢
	: , : , :
5	assumption		⊢
6	instantiation	7, 8, 9	, , , ,  ⊢
	: , : , :
7	theorem		⊢
	proveit.logic.equality.sub_left_side_into
8	instantiation	10, 11, 21, 22, 12	, , , ,  ⊢
	: , : , : , :
9	instantiation	13, 14, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
11	assumption		⊢
12	instantiation	16, 21, 22, 17	, , ,  ⊢
	: , : , :
13	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
15	instantiation	18	⊢
	: , :
16	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
17	instantiation	19, 20, 21, 22, 23	, , ,  ⊢
	: , : , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
20	assumption		⊢
21	instantiation	24, 27	⊢
	:
22	instantiation	24, 26	⊢
	:
23	instantiation	25, 26, 27, 28	, ,  ⊢
	: , : , :
24	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
25	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
26	assumption		⊢
27	assumption		⊢
28	assumption		⊢