Nuprl Lemma : can-apply-p-filter
11,40
postcript
pdf
T
:Type,
P
:(
T
),
f
:(
x
:
T
. Dec(
P
(
x
))),
x
:
T
. (
can-apply(p-filter(
f
);
x
))
P
(
x
)
latex
ProofTree
Definitions
b
,
can-apply(
f
;
x
)
,
p-filter(
f
)
,
x
:
A
.
B
(
x
)
,
f
(
a
)
,
x
(
s
)
,
Dec(
P
)
,
x
:
A
B
(
x
)
,
Type
,
,
False
,
P
Q
,
A
,
t
T
,
P
Q
,
P
&
Q
,
P
Q
,
True
,
left
+
right
,
P
Q
,
s
=
t
Lemmas
true
wf
,
false
wf
origin
T:Type, P:(T
), f:(x:T. Dec(P(x))), x:T. (
can-apply(p-filter(f);x)) 
P(x)
T:Type, P:(T), f:(x:T. Dec(P(x))), x:T. (can-apply(p-filter(f);x)) P(x)
bx:A. B(x)B(x) Q
A
T Q Q
Q