Nuprl Lemma : fpf-sub-val2
11,40
postcript
pdf
A
,
A'
:Type.
strong-subtype(
A
;
A'
)
(
B
:(
A
Type),
eq
:EqDecider(
A'
),
f
,
g
:
a
:
A
fp
B
(
a
),
x
:
A'
,
P
,
Q
:(
a
:
A
B
(
a
)
).
(
x
:
A
,
z
:
B
(
x
).
P
(
x
,
z
)
Q
(
x
,
z
))
g
f
(
z
!=
f
(
x
)
P
(
x
,
z
))
(
z
!=
g
(
x
)
Q
(
x
,
z
)))
latex
Definitions
(
x
l
)
,
deq-member(
eq
;
x
;
L
)
,
f
(
x
)
,
P
Q
,
P
&
Q
,
S
T
,
A
c
B
,
b
,
t
T
,
EqDecider(
T
)
,
strong-subtype(
A
;
B
)
,
,
x
(
s1
,
s2
)
,
x
.
t
(
x
)
,
z
!=
f
(
x
)
P
(
a
;
z
)
,
a
:
A
fp
B
(
a
)
,
x
dom(
f
)
,
x
:
A
.
B
(
x
)
,
P
Q
,
f
g
,
x
(
s
)
Lemmas
strong-subtype-deq-subtype
,
fpf-sub
wf
,
fpf
wf
,
deq
wf
,
strong-subtype
wf
,
strong-subtype-l
member-type
,
assert-deq-member
,
deq-member
wf
,
assert
wf
,
l
member
wf
origin