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