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	41	⊢
2	instantiation	4, 5, 6	, , , , , , , ⊢
	: , :
3	instantiation	50, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_left_closure
5	instantiation	41, 9, 10	, , , , , , , ⊢
	: , : , :
6	instantiation	11, 45, 46	, ⊢
	: , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.posnat6
8	instantiation	12	⊢
	: , : , : , : , : , :
9	instantiation	13, 23, 57, 14, 15	, , , , , , , ⊢
	: , : , : , :
10	instantiation	50, 16, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_in_QmultCodomain
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_6_typical_eq
13	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_is_ket
14	instantiation	28, 23, 57, 18	, , , , , , ⊢
	: , : , :
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
17	instantiation	19	⊢
	: , : , : , : , :
18	instantiation	41, 20, 21	, , , , , , ⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
20	instantiation	22, 23, 45, 57, 24, 25	, , , , , , ⊢
	: , : , : , : , :
21	instantiation	50, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
23	instantiation	53, 31	⊢
	:
24	instantiation	28, 45, 57, 29	, , , , ⊢
	: , : , :
25	instantiation	30, 54, 31, 32	, , ⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
27	instantiation	33	⊢
	: , : , : , :
28	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
29	instantiation	41, 34, 35	, , , , ⊢
	: , : , :
30	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
31	assumption		⊢
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
34	instantiation	36, 37, 45, 57, 38	, , , , ⊢
	: , : , : , :
35	instantiation	50, 39, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
37	instantiation	41, 42, 43	, , ⊢
	: , : , :
38	instantiation	44, 45, 46	, ⊢
	: , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
40	instantiation	47	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.equality.sub_left_side_into
42	instantiation	55, 48, 57, 49	, , ⊢
	: , : , :
43	instantiation	50, 51, 52	⊢
	: , : , :
44	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
45	instantiation	53, 54	⊢
	:
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
48	instantiation	55, 56, 57, 58	, ⊢
	: , : , :
49	assumption		⊢
50	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
51	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
52	instantiation	59	⊢
	: , :
53	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
54	assumption		⊢
55	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_ket_closure
56	assumption		⊢
57	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
58	assumption		⊢
59	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq