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	, , , , , , , ⊢
	: , : , :
1	reference	27	⊢
2	instantiation	4, 5, 45, 6	, , , , , , , ⊢
	: , : , :
3	instantiation	34, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_ket_closure
5	instantiation	27, 9, 10	, , , , , , ⊢
	: , : , :
6	assumption		⊢
7	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
8	instantiation	11	⊢
	: , : , : , : , :
9	instantiation	12, 31, 45, 13, 14	, , , , , , ⊢
	: , : , : , :
10	instantiation	34, 15, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
12	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_is_ket
13	instantiation	37, 31, 45, 17	, , , , , ⊢
	: , : , :
14	assumption		⊢
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
16	instantiation	18	⊢
	: , : , : , :
17	instantiation	27, 19, 20	, , , , , ⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
19	instantiation	43, 21, 31, 45, 22	, , , , , ⊢
	: , : , : , :
20	instantiation	34, 23, 24	⊢
	: , : , :
21	assumption		⊢
22	instantiation	37, 31, 45, 25	, , , , ⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
24	instantiation	26	⊢
	: , : , :
25	instantiation	27, 28, 29	, , , , ⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
27	theorem		⊢
	proveit.logic.equality.sub_left_side_into
28	instantiation	30, 31, 48, 45, 32, 33	, , , , ⊢
	: , : , : , : , :
29	instantiation	34, 35, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
31	instantiation	50, 40	⊢
	:
32	instantiation	37, 48, 45, 38	, , ⊢
	: , : , :
33	instantiation	39, 51, 40, 41	, , ⊢
	: , : , :
34	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
36	instantiation	42	⊢
	: , :
37	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
38	instantiation	43, 44, 48, 45, 46	, , ⊢
	: , : , : , :
39	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
40	assumption		⊢
41	assumption		⊢
42	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
43	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
44	assumption		⊢
45	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
46	instantiation	47, 48, 49	, ⊢
	: , :
47	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
48	instantiation	50, 51	⊢
	:
49	assumption		⊢
50	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
51	assumption		⊢