Nuprl Lemma : can-apply-p-co-filter
11,40
postcript
pdf
T
:Type,
P
:(
T
),
f
:(
x
:
T
. Dec(
P
(
x
))),
x
:
T
. (
can-apply(p-co-filter(
f
);
x
))
(
P
(
x
))
latex
ProofTree
Definitions
b
,
can-apply(
f
;
x
)
,
p-co-filter(
f
)
,
Type
,
t
T
,
,
x
:
A
B
(
x
)
,
f
(
a
)
,
x
(
s
)
,
x
:
A
.
B
(
x
)
,
Dec(
P
)
,
A
,
True
,
P
Q
,
P
Q
,
P
&
Q
,
P
Q
,
False
,
left
+
right
,
P
Q
,
s
=
t
Lemmas
false
wf
,
true
wf
,
not
wf
,
decidable
wf
origin
T:Type, P:(T
), f:(x:T. Dec(P(x))), x:T. (
can-apply(p-co-filter(f);x)) 
(
P(x))
T:Type, P:(T), f:(x:T. Dec(P(x))), x:T. (can-apply(p-co-filter(f);x)) (P(x))
b
TB(x)x:A. B(x)A Q Q Q
Q