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