Nuprl Lemma : l-all-iff
0,22
postcript
pdf
T
:Type,
L
:
T
List,
P
:({
x
:
T
| (
x
L
) }
Prop).
x
L
.
P
(
x
)
(
x
L
.
P
(
x
))
latex
Definitions
x
(
s
)
,
x
L
.
P
(
x
)
,
x
L
.
P
(
x
)
,
P
Q
,
Prop
,
x
:
A
.
B
(
x
)
,
t
T
,
x
.
t
(
x
)
,
True
,
P
Q
,
P
Q
,
P
&
Q
,
(
x
l
)
,
strong-subtype(
A
;
B
)
,
||
as
||
,
False
,
A
,
A
B
,
,
A
&
B
,
l
[
i
]
,
x
:
A
.
B
(
x
)
,
{
T
}
,
SQType(
T
)
Lemmas
nat
wf
,
length
wf1
,
select
wf
,
strong-subtype-l
member
,
strong-subtype-set3
,
strong-subtype-self
,
list-subtype
,
iff
functionality
wrt
iff
,
l
all
cons
,
l-all
wf
,
l
member
wf
,
true
wf
,
l
all
wf
,
l
all
nil
origin