Nuprl Lemma : conditional_wf-interface
11,40
postcript
pdf
es
:ES,
A
,
B
:Type,
Ia1
,
Ia2
:AbsInterface(
A
),
Ib1
,
Ib2
:AbsInterface(
B
),
g1
:(E(
Ib1
)
E(
Ia1
)),
g2
:(E(
Ib2
)
E(
Ia2
)).
[{
Ib1
}?
g1
:
g2
]
{
e
:E| {[
Ib1
?
Ib2
]}(
e
)}
{
e
:E| {[
Ia1
?
Ia2
]}(
e
)}
latex
Definitions
x
:
A
.
B
(
x
)
,
AbsInterface(
A
)
,
t
T
,
{
I
}
,
,
P
Q
,
{
T
}
,
Top
,
E(
X
)
,
P
Q
,
P
Q
,
P
Q
,
P
&
Q
,
A
,
False
Lemmas
es-interface-conditional
,
conditional
wf
,
assert
wf
,
es-is-interface
wf
,
bool-decider
wf
,
decidable
wf
,
subtype
rel
function
,
es-interface-conditional-domain-iff
,
es-E-interface
wf
,
subtype
rel
sum
,
es-E
wf
,
top
wf
,
es-interface
wf
,
event
system
wf
origin