Nuprl Lemma : disjoint-iff-null-intersection
11,40
postcript
pdf
T
:Type,
eq
:EqDecider(
T
),
a
,
b
:(
T
List).
l_disjoint(
T
;
a
;
b
)
(l_intersection(
eq
;
a
;
b
) = []
(
T
List))
latex
Definitions
(
x
l
)
,
x
:
A
B
(
x
)
,
P
&
Q
,
Void
,
x
:
A
B
(
x
)
,
P
Q
,
False
,
A
,
x
:
A
.
B
(
x
)
,
t
T
,
,
type
List
,
s
=
t
,
P
Q
,
P
Q
,
EqDecider(
T
)
,
Type
,
l_disjoint(
T
;
l1
;
l2
)
,
l_intersection(
eq
;
L1
;
L2
)
,
b
,
hd(
l
)
,
i
<z
j
,
i
z
j
,
l
[
i
]
,
A
B
,
a
<
b
,
,
#$n
,
||
as
||
,
n
+
m
,
i
j
,
i
j
<
k
,
{
x
:
A
|
B
(
x
)}
,
{
i
..
j
}
,
Lemmas
nil
member
,
member-intersection
,
select
member
,
le
wf
,
non
neg
length
,
length
wf1
,
not
wf
,
l
member
wf
origin