Nuprl Lemma : hd-es-interval
11,40
postcript
pdf
es
:event_system{i:l},
e
,
e'
:es-E(
es
). es-le(
es
;
e
;
e'
)
(hd([
e
,
e'
]) =
e
)
latex
Definitions
x
:
A
.
B
(
x
)
,
P
Q
,
P
Q
,
t
T
,
A
c
B
,
sq_type(
T
)
,
guard(
T
)
,
prop{i:l}
,
A
,
int_seg(
i
;
j
)
,
A
B
,
lelt(
i
;
j
;
k
)
,
False
,
l
[
i
]
,
nth_tl(
n
;
as
)
,
Y
,
if
b
then
t
else
f
fi
,
i
z
j
,
b
,
i
<z
j
,
tt
,
ff
,
ge(
i
;
j
)
,
P
Q
,
P
Q
,
(
x
l
)
,
x
:
A
.
B
(
x
)
,
,
decidable(
P
)
,
P
Q
Lemmas
member-es-interval
,
es-le-self
,
es-le
wf
,
es-E
wf
,
event
system
wf
,
decidable
int
equal
,
l
before
select
,
es-interval
wf
,
le
wf
,
length
wf1
,
l
before-es-interval
,
hd
wf
,
es-le-trans2
,
es-locl
wf
,
es-locl-antireflexive
origin
es:event_system{i:l}, e,e':es-E(es). es-le(es; e; e') 
(hd([e, e']) = e) es:event_system{i:l}, e,e':es-E(es). es-le(es; e; e') (hd([e, e']) = e) x:A. B(x) Q
Q
T B
A
Bz j
b
Q Q l)
x:A. B(x)
Q