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