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	, , , , , , , ⊢
	: , : , : , :
1	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_is_ket
2	reference	10	⊢
3	reference	44	⊢
4	instantiation	15, 10, 44, 6	, , , , , , ⊢
	: , : , :
5	assumption		⊢
6	instantiation	28, 7, 8	, , , , , , ⊢
	: , : , :
7	instantiation	9, 10, 32, 44, 11, 12	, , , , , , ⊢
	: , : , : , : , :
8	instantiation	37, 13, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
10	instantiation	40, 18	⊢
	:
11	instantiation	15, 32, 44, 16	, , , , ⊢
	: , : , :
12	instantiation	17, 41, 18, 19	, , ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
14	instantiation	20	⊢
	: , : , : , :
15	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
16	instantiation	28, 21, 22	, , , , ⊢
	: , : , :
17	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
18	assumption		⊢
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
21	instantiation	23, 24, 32, 44, 25	, , , , ⊢
	: , : , : , :
22	instantiation	37, 26, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
24	instantiation	28, 29, 30	, , ⊢
	: , : , :
25	instantiation	31, 32, 33	, ⊢
	: , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
27	instantiation	34	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.equality.sub_left_side_into
29	instantiation	42, 35, 44, 36	, , ⊢
	: , : , :
30	instantiation	37, 38, 39	⊢
	: , : , :
31	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
32	instantiation	40, 41	⊢
	:
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
35	instantiation	42, 43, 44, 45	, ⊢
	: , : , :
36	assumption		⊢
37	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
39	instantiation	46	⊢
	: , :
40	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
41	assumption		⊢
42	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_ket_closure
43	assumption		⊢
44	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
45	assumption		⊢
46	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq