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	18	⊢
3	reference	42	⊢
4	instantiation	37, 18, 42, 6	, , , , , , ⊢
	: , : , :
5	assumption		⊢
6	instantiation	28, 7, 8	, , , , , , ⊢
	: , : , :
7	instantiation	31, 9, 18, 42, 10	, , , , , , ⊢
	: , : , : , :
8	instantiation	34, 11, 12	⊢
	: , : , :
9	assumption		⊢
10	instantiation	37, 18, 42, 13	, , , , , ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
12	instantiation	14	⊢
	: , : , : , :
13	instantiation	28, 15, 16	, , , , , ⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
15	instantiation	17, 18, 45, 42, 19, 20	, , , , , ⊢
	: , : , : , : , :
16	instantiation	34, 21, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
18	instantiation	47, 25	⊢
	:
19	instantiation	37, 45, 42, 23	, , , ⊢
	: , : , :
20	instantiation	24, 48, 25, 26	, , ⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
22	instantiation	27	⊢
	: , : , :
23	instantiation	28, 29, 30	, , , ⊢
	: , : , :
24	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
25	assumption		⊢
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
28	theorem		⊢
	proveit.logic.equality.sub_left_side_into
29	instantiation	31, 32, 45, 42, 33	, , , ⊢
	: , : , : , :
30	instantiation	34, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
32	assumption		⊢
33	instantiation	37, 45, 42, 38	, , ⊢
	: , : , :
34	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
36	instantiation	39	⊢
	: , :
37	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
38	instantiation	40, 41, 45, 42, 43	, , ⊢
	: , : , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
40	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
41	assumption		⊢
42	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
43	instantiation	44, 45, 46	, ⊢
	: , :
44	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
45	instantiation	47, 48	⊢
	:
46	assumption		⊢
47	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
48	assumption		⊢