Nuprl Lemma : q-linear-times
11,40
postcript
pdf
X
:(
),
a
:
,
k
:
,
y
:(
List).
(
k
||
y
||)
(q-linear(
k
;
j
.
a
*
X
(
j
);
y
) = (
a
* q-linear(
k
;
j
.
X
(
j
);
y
))
)
latex
Definitions
i
j
,
,
False
,
A
,
P
&
Q
,
True
,
T
,
x
.
t
(
x
)
,
P
Q
,
P
Q
,
t
T
,
x
(
s
)
,
A
B
,
P
Q
,
,
x
:
A
.
B
(
x
)
,
Lemmas
qadd
comm
q
,
qmul
ac
1
qrng
,
qmul
comm
qrng
,
qmul
assoc
qrng
,
qmul
over
plus
qrng
,
ge
wf
,
nat
properties
,
q-linear
wf
,
select
wf
,
qadd
wf
,
q-linear-unroll
,
length
wf1
,
le
wf
,
true
wf
,
squash
wf
,
qmul
wf
,
q-linear-base
,
rationals
wf
,
nat
wf
origin