Nuprl Lemma : fpf-cap-join-subtype
0,22
postcript
pdf
A
:Type,
eq
:EqDecider(
A
),
f
,
g
:
a
:
A
fp
Type,
a
:
A
.
f
g
(
a
)?Top
f
(
a
)?Top
latex
Definitions
t
T
,
x
:
A
.
B
(
x
)
,
x
.
t
(
x
)
,
{
T
}
,
P
Q
,
EqDecider(
T
)
,
a
:
A
fp
B
(
a
)
,
f
g
,
f
g
Lemmas
fpf
wf
,
deq
wf
,
fpf-sub-join-left
,
fpf-cap-subtype
functionality
wrt
sub
,
fpf-join
wf
origin
A:Type, eq:EqDecider(A), f, g:a:A fp
Type, a:A. f 
g(a)?Top 
f(a)?Top A:Type, eq:EqDecider(A), f, g:a:A fp Type, a:A. f g(a)?Top f(a)?Top 
Tx:A. B(x)
x. t(x)
Q B(a) g g