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