Nuprl Lemma : es-le-not-locl
0,22
postcript
pdf
es
:ES,
e
,
e'
:E. loc(
e
) = loc(
e'
)
Id
(
e
e'
(
e'
<loc
e
))
latex
Definitions
P
Q
,
P
&
Q
,
P
Q
,
False
,
P
Q
,
e
e'
,
A
,
(
e
<loc
e'
)
,
Prop
,
Id
,
loc(
e
)
,
E
,
x
:
A
.
B
(
x
)
,
t
T
,
ES
,
P
Q
,
Trans
x
,
y
:
T
.
E
(
x
;
y
)
,
{
T
}
Lemmas
es-axioms
,
es-locl-antireflexive
,
es-locl-trans
,
event
system
wf
,
es-E
wf
,
es-loc
wf
,
Id
wf
,
es-locl
wf
,
not
wf
,
es-le
wf
origin
es:ES, e, e':E. loc(e) = loc(e') 
Id 
(e 
e' 
(e' <loc e)) es:ES, e, e':E. loc(e) = loc(e') Id (e e' (e' <loc e)) Q Q Q e' Ax:A. B(x) T
Q