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	36	⊢
2	instantiation	4, 5, 6	, , , , , , , ⊢
	: , :
3	instantiation	43, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.physics.quantum.algebra.qmult_complex_left_closure
5	instantiation	36, 9, 10	, , , , , , , ⊢
	: , : , :
6	instantiation	11, 57, 58	, ⊢
	: , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.posnat6
8	instantiation	12	⊢
	: , : , : , : , : , :
9	instantiation	13, 14, 54, 15	, , , , , , , ⊢
	: , : , :
10	instantiation	43, 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_complex_ket_closure
14	instantiation	36, 18, 19	, , , , , , ⊢
	: , : , :
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
17	instantiation	20	⊢
	: , : , : , : , :
18	instantiation	21, 40, 54, 22, 23	, , , , , , ⊢
	: , : , : , :
19	instantiation	43, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
21	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_ket_is_ket
22	instantiation	46, 40, 54, 26	, , , , , ⊢
	: , : , :
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
25	instantiation	27	⊢
	: , : , : , :
26	instantiation	36, 28, 29	, , , , , ⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
28	instantiation	52, 30, 40, 54, 31	, , , , , ⊢
	: , : , : , :
29	instantiation	43, 32, 33	⊢
	: , : , :
30	assumption		⊢
31	instantiation	46, 40, 54, 34	, , , , ⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
33	instantiation	35	⊢
	: , : , :
34	instantiation	36, 37, 38	, , , , ⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
36	theorem		⊢
	proveit.logic.equality.sub_left_side_into
37	instantiation	39, 40, 57, 54, 41, 42	, , , , ⊢
	: , : , : , : , :
38	instantiation	43, 44, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_op_is_op
40	instantiation	59, 49	⊢
	:
41	instantiation	46, 57, 54, 47	, , ⊢
	: , : , :
42	instantiation	48, 60, 49, 50	, , ⊢
	: , : , :
43	axiom		⊢
	proveit.physics.quantum.algebra.multi_qmult_def
44	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
45	instantiation	51	⊢
	: , :
46	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_is_linmap
47	instantiation	52, 53, 57, 54, 55	, , ⊢
	: , : , : , :
48	theorem		⊢
	proveit.physics.quantum.algebra.qmult_matrix_is_linmap
49	assumption		⊢
50	assumption		⊢
51	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
52	theorem		⊢
	proveit.physics.quantum.algebra.qmult_op_complex_closure
53	assumption		⊢
54	theorem		⊢
	proveit.linear_algebra.inner_products.complex_set_is_hilbert_space
55	instantiation	56, 57, 58	, ⊢
	: , :
56	theorem		⊢
	proveit.physics.quantum.algebra.qmult_bra_is_linmap
57	instantiation	59, 60	⊢
	:
58	assumption		⊢
59	theorem		⊢
	proveit.linear_algebra.inner_products.complex_vec_set_is_hilbert_space
60	assumption		⊢