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