Show the Proof¶

In [1]:

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

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6	, , , , , ⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
2	instantiation	30, 9	⊢
	:
3	reference	28	⊢
4	reference	25	⊢
5	instantiation	20, 28, 25, 7	, , , ⊢
	: , : , :
6	instantiation	8, 31, 9, 10	, , ⊢
	: , : , :
7	instantiation	11, 12, 13	, , , ⊢
	: , : , :
8	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
9	assumption		⊢
10	assumption		⊢
11	theorem		⊢
	proveit.logic.equality.sub_left_side_into
12	instantiation	14, 15, 28, 25, 16	, , , ⊢
	: , : , : , :
13	instantiation	17, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
15	assumption		⊢
16	instantiation	20, 28, 25, 21	, , ⊢
	: , : , :
17	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
19	instantiation	22	⊢
	: , :
20	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
21	instantiation	23, 24, 28, 25, 26	, , ⊢
	: , : , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
24	assumption		⊢
25	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
26	instantiation	27, 28, 29	, ⊢
	: , :
27	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
28	instantiation	30, 31	⊢
	:
29	assumption		⊢
30	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
31	assumption		⊢