Nuprl Lemma : fpf-join-assoc
0,22
postcript
pdf
A
:Type,
B
:(
A
Type),
eq
:EqDecider(
A
),
f
,
g
,
h
:
a
:
A
fp
B
(
a
).
f
g
h
=
f
g
h
a
:
A
fp
B
(
a
)
latex
Definitions
x
:
A
.
B
(
x
)
,
a
:
A
fp
B
(
a
)
,
x
(
s
)
,
f
g
,
1of(
t
)
,
x
dom(
f
)
,
f
(
x
)?
z
,
f
(
x
)
,
2of(
t
)
,
t
T
,
P
Q
,
P
Q
,
P
&
Q
,
P
Q
,
T
,
True
,
p
q
,
b
,
true
,
Prop
,
if
b
t
else
f
fi
,
false
,
P
Q
,
{
T
}
,
,
Unit
,
A
,
False
,
Lemmas
l
member
wf
,
deq
wf
,
append
wf
,
filter
wf
,
bnot
wf
,
deq-member
wf
,
append
assoc
,
squash
wf
,
true
wf
,
filter
append
,
filter
filter
,
bool
wf
,
iff
transitivity
,
assert
wf
,
eqtt
to
assert
,
assert-deq-member
,
member
append
,
bfalse
wf
,
not
wf
,
eqff
to
assert
,
assert
of
bnot
,
not
functionality
wrt
iff
,
btrue
wf
,
band
wf
,
member
filter
,
or
functionality
wrt
iff
,
and
functionality
wrt
iff
origin