Nuprl Lemma : member-merge
11,40
postcript
pdf
T
:Type.
subtype_rel(
T
;
)
(
bs
,
as
:(
T
List),
x
:
T
. (
x
merge(
as
;
bs
))
((
x
as
)
(
x
bs
)))
latex
Definitions
(
x
l
)
,
P
Q
,
x
:
A
.
B
(
x
)
,
False
,
t
T
,
prop{i:l}
,
P
Q
,
merge(
as
;
bs
)
,
P
Q
,
P
Q
,
P
Q
,
x
.
t
(
x
)
,
s-insert(
x
;
l
)
,
guard(
T
)
Lemmas
nil
member
,
member-s-insert
,
s-insert
wf
,
all
functionality
wrt
iff
,
iff
functionality
wrt
iff
,
or
functionality
wrt
iff
,
cons
member
,
false
wf
,
iff
wf
,
merge
wf
,
l
member
wf
origin