Nuprl Lemma : existse-before_wf
0,22
postcript
pdf
es
:ES,
e'
:E,
P
:({
e
:E| loc(
e
) = loc(
e'
)
Id }
Prop).
e
<
e'
.
P
(
e
)
Prop
latex
Definitions
b
,
P
Q
,
False
,
A
,
t
T
,
x
:
A
.
B
(
x
)
,
P
&
Q
,
(
e
<loc
e'
)
,
loc(
e
)
,
Id
,
ES
,
E
,
Prop
,
x
(
s
)
,
A
&
B
,
x
:
A
.
B
(
x
)
,
e
<
e'
.
P
(
e
)
Lemmas
es-locl
wf
,
es-E
wf
,
event
system
wf
,
Id
wf
,
es-loc
wf
,
es-loc-pred
origin
es:ES, e':E, P:({e:E| loc(e) = loc(e') 
Id }
Prop). 
e<e'.P(e) Prop es:ES, e':E, P:({e:E| loc(e) = loc(e') Id }Prop). e<e'.P(e) Prop 
b
Q
A Tx:A. B(x)x:A. B(x)e<e'.P(e)