Nuprl Lemma : fpf-dom_functionality2
0,22
postcript
pdf
A
:Type,
eq1
,
eq2
:EqDecider(
A
),
f
:
a
:
A
fp
Top,
x
:
A
. {
x
dom(
f
)
x
dom(
f
)}
latex
Definitions
x
.
t
(
x
)
,
Top
,
{
T
}
,
P
Q
,
x
dom(
f
)
,
a
:
A
fp
B
(
a
)
,
EqDecider(
T
)
,
b
,
x
:
A
.
B
(
x
)
,
t
T
Lemmas
assert
wf
,
top
wf
,
fpf-dom
functionality
,
deq
wf
,
fpf
wf
,
fpf-dom
wf
origin
A:Type, eq1, eq2:EqDecider(A), f:a:A fp
Top, x:A. {x 
dom(f) 
x dom(f)} A:Type, eq1, eq2:EqDecider(A), f:a:A fp Top, x:A. {x dom(f) x dom(f)} 
x. t(x) Q dom(f) B(a)
bx:A. B(x) T