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