Nuprl Lemma : fpf-cap_functionality
11,40
postcript
pdf
A
:Type,
d1
,
d2
:EqDecider(
A
),
B
:(
A
Type),
f
:
a
:
A
fp
B
(
a
),
x
:
A
,
z
:
B
(
x
).
f
(
x
)?
z
=
f
(
x
)?
z
B
(
x
)
latex
Definitions
x
:
A
.
B
(
x
)
,
x
(
s
)
,
f
(
x
)?
z
,
if
b
then
t
else
f
fi
,
f
(
x
)
,
t
T
,
x
.
t
(
x
)
,
P
Q
,
tt
,
t
.2
,
,
ff
,
a
:
A
fp
B
(
a
)
,
x
dom(
f
)
,
,
Unit
,
P
Q
,
P
&
Q
,
t
.1
,
A
,
False
,
Lemmas
fpf-dom
wf
,
fpf-trivial-subtype-top
,
bool
wf
,
eqtt
to
assert
,
assert-deq-member
,
l
member
wf
,
iff
transitivity
,
assert
wf
,
bnot
wf
,
not
wf
,
eqff
to
assert
,
assert
of
bnot
,
not
functionality
wrt
iff
,
deq-member
wf
,
fpf
wf
,
deq
wf
origin