Nuprl Lemma : R-all-rule2
0,22
postcript
pdf
T
:Type{i},
L
:
T
List,
R
:({
x
:
T
| (
x
L
) }
es_realizer{i:l}),
P
:({
x
:
T
| (
x
L
) }
ES{i}
Prop{i'}).
(
x
,
y
:
T
. Dec(
x
=
y
))
(
x
L
.
R
(
x
) ||-{i}
es
.
P
(
x
,
es
))
(
x
L
.
y
L
.
x
=
y
T
R-compat{i:l}(
R
(
x
);
R
(
y
)))
x
L
.
R
(
x
) ||-{i}
es
.
x
L
.
P
(
x
,
es
)
latex
Definitions
x
.
t
(
x
)
,
t
T
,
x
(
s1
,
s2
)
,
x
(
s
)
,
x
L
.
P
(
x
)
,
P
Q
,
Prop
,
x
:
A
.
B
(
x
)
,
{
T
}
,
P
Q
,
Dec(
P
)
Lemmas
es
realizer
wf
,
decidable
wf
,
event
system
wf
,
R-realizes
wf
,
R-compat
wf
,
not
wf
,
l
member
wf
,
R-all-rule
origin