Nuprl Lemma : es-interval-iseg
11,40
postcript
pdf
es
:event_system{i:l},
e3
,
e2
,
e1
:es-E(
es
).
es-le(
es
;
e1
;
e2
)
es-le(
es
;
e1
;
e3
)
(iseg(es-E(
es
); [
e1
,
e2
]; [
e1
,
e3
])
es-le(
es
;
e2
;
e3
))
latex
Definitions
x
:
A
.
B
(
x
)
,
P
Q
,
t
T
,
prop{i:l}
,
x
.
t
(
x
)
,
P
Q
,
P
Q
,
P
Q
,
es-le(
es
;
e
;
e'
)
,
P
Q
,
guard(
T
)
,
A
c
B
,
A
,
T
,
True
,
wellfounded{i:l}(
A
;
x
,
y
.
R
(
x
;
y
))
,
x
(
s
)
,
es-locl(
es
;
e
;
e'
)
,
False
Lemmas
es-locl-wellfnd
,
es-E
wf
,
es-le
wf
,
iff
wf
,
iseg
wf
,
es-interval
wf
,
es-locl
wf
,
event
system
wf
,
es-le-iff
,
es-pred
wf
,
es-pred-locl
,
es-interval-less
,
es-le-pred
,
iff
functionality
wrt
iff
,
or
functionality
wrt
iff
,
iseg
append
single
,
es-locl
transitivity1
,
es-interval-one-one
,
es-interval-eq
,
es-le-not-locl
,
es-le-loc
,
es-loc
wf
,
squash
wf
,
true
wf
,
member-es-interval
,
es-le
weakening
eq
,
iseg
member
,
member
singleton
,
es-loc-pred
,
es-locl-iff
,
not
wf
,
assert
wf
,
es-first
wf
,
iseg
weakening
origin