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