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