Nuprl Lemma : member_filter2
4,23
postcript
pdf
T
:Type,
L
:
T
List,
P
:(
||
L
||
),
x
:
T
. (
x
filter2(
P
;
L
))
(
i
:
||
L
||.
x
=
L
[
i
] &
P
(
i
))
latex
Definitions
b
,
t
T
,
x
:
A
.
B
(
x
)
,
,
A
&
B
,
x
:
A
.
B
(
x
)
,
{
i
..
j
}
,
P
&
Q
,
,
i
j
<
k
,
||
as
||
,
P
Q
,
False
,
A
,
A
B
,
Prop
,
l
[
i
]
,
P
Q
,
P
Q
,
(
x
l
)
,
b
,
i
j
,
Unit
,
True
,
T
,
{
T
}
,
SQType(
T
)
,
P
Q
,
Dec(
P
)
,
filter2(
P
;
L
)
,
hd(
l
)
,
i
<
j
,
i
j
Lemmas
iff
functionality
wrt
iff
,
select
cons
tl
,
filter2
wf
,
le
wf
,
decidable
int
equal
,
iff
wf
,
l
member
wf
,
squash
wf
,
true
wf
,
cons
filter2
,
length
cons
,
length
wf1
,
eqtt
to
assert
,
iff
transitivity
,
eqff
to
assert
,
assert
of
bnot
,
non
neg
length
,
bnot
wf
,
not
wf
,
nat
wf
,
length
wf2
,
select
wf
,
assert
wf
,
int
seg
wf
,
bool
wf
origin