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