Nuprl Lemma : existse-le_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
t
T
,
b
,
P
Q
,
False
,
A
,
x
:
A
.
B
(
x
)
,
loc(
e
)
,
Id
,
ES
,
E
,
Prop
,
x
(
s
)
,
e
e'
,
A
&
B
,
x
:
A
.
B
(
x
)
,
e
e'
.
P
(
e
)
Lemmas
es-le
wf
,
es-E
wf
,
event
system
wf
,
Id
wf
,
es-loc
wf
,
es-le-loc
,
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). ee'.P(e) Prop T
b
Q
Ax:A. B(x) e' x:A. B(x)ee'.P(e)