Nuprl Lemma : fpf-compatible-self
11,40
postcript
pdf
A
:Type,
eq
:EqDecider(
A
),
B
:(
A
Type),
f
:fpf(
A
;
a
.
B
(
a
)). fpf-compatible(
A
;
a
.
B
(
a
);
eq
;
f
;
f
)
latex
Definitions
x
:
A
.
B
(
x
)
,
x
(
s
)
,
fpf-compatible(
A
;
a
.
B
(
a
);
eq
;
f
;
g
)
,
P
Q
,
P
Q
,
t
T
,
x
.
t
(
x
)
,
prop{i:l}
Lemmas
fpf-ap
wf
,
assert
wf
,
fpf-dom
wf
,
fpf-trivial-subtype-top
,
fpf
wf
,
deq
wf
origin
A:Type, eq:EqDecider(A), B:(A
Type), f:fpf(A; a.B(a)). fpf-compatible(A; a.B(a); eq; f; f) A:Type, eq:EqDecider(A), B:(AType), f:fpf(A; a.B(a)). fpf-compatible(A; a.B(a); eq; f; f) x:A. B(x)
Q
Q
T
x. t(x)