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