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