Nuprl Lemma : fpf-join-dom
0,22
postcript
pdf
A
:Type,
B
:(
A
Type),
eq
:EqDecider(
A
),
f
,
g
:
a
:
A
fp
B
(
a
),
x
:
A
.
x
dom(
f
g
)
x
dom(
f
)
x
dom(
g
)
latex
Definitions
True
,
(
x
l
)
,
P
Q
,
t
T
,
x
:
A
.
B
(
x
)
,
x
(
s
)
,
x
.
t
(
x
)
,
Prop
,
P
&
Q
,
P
Q
,
P
Q
,
P
Q
,
False
,
,
b
,
A
,
b
,
Unit
,
filter(
P
;
l
)
,
as
@
bs
,
EqDecider(
T
)
,
x
dom(
f
)
,
f
g
,
a
:
A
fp
B
(
a
)
,
1of(
t
)
,
deq-member(
eq
;
x
;
L
)
,
{
T
}
Lemmas
deq
wf
,
member
append
,
append
wf
,
iff
functionality
wrt
iff
,
or
functionality
wrt
iff
,
member
filter
,
filter
wf
,
eqtt
to
assert
,
eqff
to
assert
,
iff
transitivity
,
assert
of
bnot
,
not
functionality
wrt
iff
,
assert-deq-member
,
bnot
wf
,
not
wf
,
assert
wf
,
deq-member
wf
,
bool
wf
,
false
wf
,
true
wf
,
pi1
wf
,
l
member
wf
origin