Nuprl Lemma : es-interface-restrict-disjoint
11,40
postcript
pdf
A
:Type,
es
:ES,
I
:AbsInterface(
A
),
P
:(E
),
p
:(
e
:E. Dec(
P
(
e
))). (
I
|
p
)
(
I
|
p
) = 0
latex
Definitions
False
,
P
Q
,
A
,
x
:
A
.
B
(
x
)
,
x
(
s
)
,
P
&
Q
,
b
,
f
(
a
)
,
x
:
A
B
(
x
)
,
x
:
A
B
(
x
)
,
P
Q
,
x
.
t
(
x
)
,
P
Q
,
Void
,
E
,
Dec(
P
)
,
Type
,
,
AbsInterface(
A
)
,
ES
,
X
Y
= 0
Lemmas
es-is-interface-restrict
,
not
functionality
wrt
iff
,
and
functionality
wrt
iff
,
es-is-interface-co-restrict
origin
A:Type, es:ES, I:AbsInterface(A), P:(E
), p:(e:E. Dec(P(e))). (I|p) 
(I|
p) = 0 A:Type, es:ES, I:AbsInterface(A), P:(E), p:(e:E. Dec(P(e))). (I|p) (I|p) = 0 
QAx:A. B(x)
b
B(x)B(x)
Q
x. t(x) Q Y = 0