Nuprl Lemma : fpf-dom_functionality
11,40
postcript
pdf
A
:Type,
B
:(
A
Type),
eq1
,
eq2
:EqDecider(
A
),
f
:fpf(
A
;
a
.
B
(
a
)),
x
:
A
.
fpf-dom(
eq1
;
x
;
f
) = fpf-dom(
eq2
;
x
;
f
)
latex
Definitions
x
:
A
.
B
(
x
)
,
x
(
s
)
,
fpf-dom(
eq
;
x
;
f
)
,
t
.1
,
t
T
,
P
Q
,
prop{i:l}
,
x
.
t
(
x
)
,
fpf(
A
;
a
.
B
(
a
))
,
,
Unit
,
P
Q
,
P
Q
,
A
,
False
,
,
tt
,
ff
Lemmas
deq-member
wf
,
bool
wf
,
iff
transitivity
,
assert
wf
,
l
member
wf
,
eqtt
to
assert
,
assert-deq-member
,
btrue
wf
,
bnot
wf
,
not
wf
,
eqff
to
assert
,
assert
of
bnot
,
not
functionality
wrt
iff
,
bfalse
wf
,
fpf
wf
,
deq
wf
origin