Nuprl Lemma : init-p-implies
0,22
postcript
pdf
es
:ES,
T
:Type,
c
:
T
,
i
,
x
:Id.
@
i
x
initially
c
:
T
{vartype(
i
;
x
)
T
&
e
@
i
. first(
e
)
(
x
when
e
) =
c
T
}
latex
Definitions
ES
,
t
T
,
Type
,
Id
,
x
:
A
.
B
(
x
)
,
x
initially@
i
,
x
:
A
B
(
x
)
,
vartype(
i
;
x
)
,
s
=
t
,
Prop
,
A
&
B
,
x
:
A
B
(
x
)
,
x
when
e
,
<
a
,
b
>
,
E
,
loc(
e
)
,
first(
e
)
,
b
,
P
Q
,
{
T
}
,
e
@
i
.
P
(
e
)
,
@
i
x
initially
v
:
T
,
SQType(
T
)
,
s
~
t
,
Atom$n
Lemmas
es-when-first
,
Id
sq
,
assert
wf
,
es-first
wf
,
es-loc
wf
,
es-E
wf
,
es-vartype
wf
,
es-initially
wf
,
Id
wf
,
event
system
wf
origin