Nuprl Lemma : member-fpf-domain
11,40
postcript
pdf
A
:Type,
f
:fpf(
A
;
a
.top),
eq
:EqDecider(
A
),
x
:
A
. (
fpf-dom(
eq
;
x
;
f
))
(
x
fpf-domain(
f
))
latex
Definitions
EqDecider(
T
)
,
x
.
t
(
x
)
,
top
,
fpf(
A
;
a
.
B
(
a
))
,
fpf-dom(
eq
;
x
;
f
)
,
fpf-domain(
f
)
,
prop{i:l}
,
b
,
deq-member(
eq
;
x
;
L
)
,
P
Q
,
P
Q
,
P
Q
,
P
Q
,
(
x
l
)
,
x
:
A
.
B
(
x
)
,
t
T
Lemmas
l
member
wf
,
deq-member
wf
,
assert
wf
,
assert-deq-member
,
iff
functionality
wrt
iff
,
top
wf
,
fpf
wf
,
deq
wf
origin
A:Type, f:fpf(A; a.top), eq:EqDecider(A), x:A. (
fpf-dom(eq; x; f)) 
(x 
fpf-domain(f)) A:Type, f:fpf(A; a.top), eq:EqDecider(A), x:A. (fpf-dom(eq; x; f)) (x fpf-domain(f)) 
x. t(x)b Q
Q Q Q l)x:A. B(x) T