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