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