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