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	47, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_left_closure
5	instantiation	41, 9, 10	, , , , , , , ⊢
	: , : , :
6	instantiation	11, 58, 59	, ⊢
	: , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.posnat6
8	instantiation	12	⊢
	: , : , : , : , : , :
9	instantiation	13, 31, 55, 14, 15	, , , , , , , ⊢
	: , : , : , :
10	instantiation	47, 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	50, 31, 55, 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	44, 22, 31, 55, 23	, , , , , , ⊢
	: , : , : , :
21	instantiation	47, 24, 25	⊢
	: , : , :
22	assumption		⊢
23	instantiation	50, 31, 55, 26	, , , , , ⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
25	instantiation	27	⊢
	: , : , : , :
26	instantiation	41, 28, 29	, , , , , ⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
28	instantiation	30, 31, 58, 55, 32, 33	, , , , , ⊢
	: , : , : , : , :
29	instantiation	47, 34, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
31	instantiation	60, 38	⊢
	:
32	instantiation	50, 58, 55, 36	, , , ⊢
	: , : , :
33	instantiation	37, 61, 38, 39	, , ⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
35	instantiation	40	⊢
	: , : , :
36	instantiation	41, 42, 43	, , , ⊢
	: , : , :
37	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
38	assumption		⊢
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
41	theorem		⊢
	proveit.logic.equality.sub_left_side_into
42	instantiation	44, 45, 58, 55, 46	, , , ⊢
	: , : , : , :
43	instantiation	47, 48, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
45	assumption		⊢
46	instantiation	50, 58, 55, 51	, , ⊢
	: , : , :
47	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
48	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
49	instantiation	52	⊢
	: , :
50	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
51	instantiation	53, 54, 58, 55, 56	, , ⊢
	: , : , : , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
53	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_op_closure
54	assumption		⊢
55	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
56	instantiation	57, 58, 59	, ⊢
	: , :
57	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
58	instantiation	60, 61	⊢
	:
59	assumption		⊢
60	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
61	assumption		⊢