Nuprl Lemma : fpf-compatible-update
11,40
postcript
pdf
A
:Type,
eq
:EqDecider(
A
),
B
:(
A
Type),
f
,
g
:
a
:
A
fp
B
(
a
).
f
g
||
f
latex
Definitions
x
:
A
B
(
x
)
,
P
Q
,
x
:
A
.
B
(
x
)
,
,
s
=
t
,
b
,
A
,
x
:
A
B
(
x
)
,
P
&
Q
,
P
Q
,
t
T
,
Unit
,
left
+
right
,
f
(
a
)
,
x
(
s
)
,
f
(
x
)
,
f
g
,
<
a
,
b
>
,
f
||
g
,
a
:
A
fp
B
(
a
)
,
Type
,
EqDecider(
T
)
Lemmas
fpf-join-ap-sq
,
eqtt
to
assert
,
iff
transitivity
,
eqff
to
assert
,
assert
of
bnot
origin
A:Type, eq:EqDecider(A), B:(A
Type), f, g:a:A fp B(a). f 
g || f A:Type, eq:EqDecider(A), B:(AType), f, g:a:A fp B(a). f g || f B(x)
Qx:A. B(x)
b
A
B(x)
Q
T g B(a)