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