Nuprl Lemma : subtype-fpf-cap-void2
11,40
postcript
pdf
X
:Type,
eq
:EqDecider(
X
),
f
,
g
:
x
:
X
fp
Type,
x
:
X
,
z
:
g
(
x
)?Void.
f
||
g
(
f
(
x
)?Void
r
g
(
x
)?Void)
latex
Definitions
t
T
,
x
:
A
.
B
(
x
)
,
b
,
A
,
b
,
,
s
=
t
,
,
Type
,
x
.
A
(
x
)
,
x
.
t
(
x
)
,
Top
,
a
:
A
fp
B
(
a
)
,
x
:
A
B
(
x
)
,
x
dom(
f
)
,
P
Q
,
x
:
A
B
(
x
)
,
P
&
Q
,
P
Q
,
Unit
,
left
+
right
,
f
(
x
)?
z
,
f
||
g
,
EqDecider(
T
)
,
Void
,
f
(
x
)
,
<
a
,
b
>
,
False
,
{
T
}
,
SQType(
T
)
,
s
~
t
,
P
Q
Lemmas
bool
cases
,
bool
sq
,
fpf-ap
wf
,
fpf-compatible
wf
,
fpf-cap
wf
,
fpf
wf
,
deq
wf
,
eqtt
to
assert
,
iff
transitivity
,
eqff
to
assert
,
assert
of
bnot
,
fpf-dom
wf
,
fpf-trivial-subtype-top
,
bool
wf
,
bnot
wf
,
not
wf
,
assert
wf
origin