Nuprl Lemma : fpf-sub_wf
0,22
postcript
pdf
A
:Type,
B
:(
A
Type),
eq
:EqDecider(
A
),
f
,
g
:
a
:
A
fp
B
(
a
).
f
g
Prop
latex
Definitions
Type
,
t
T
,
x
:
A
B
(
x
)
,
x
:
A
.
B
(
x
)
,
EqDecider(
T
)
,
f
(
a
)
,
x
(
s
)
,
x
.
t
(
x
)
,
a
:
A
fp
B
(
a
)
,
x
.
A
(
x
)
,
Top
,
P
Q
,
f
(
x
)
,
s
=
t
,
x
dom(
f
)
,
b
,
Prop
,
A
&
B
,
x
:
A
B
(
x
)
,
f
g
Lemmas
assert
wf
,
fpf-dom
wf
,
fpf-ap
wf
,
fpf-trivial-subtype-top
,
fpf
wf
,
deq
wf
origin
A:Type, B:(A
Type), eq:EqDecider(A), f, g:a:A fp B(a). f 
g 
Prop A:Type, B:(AType), eq:EqDecider(A), f, g:a:A fp B(a). f g Prop TB(x)x:A. B(x)
x. t(x) B(a)x.A(x)
Q dom(f)
b
B(x) g