Nuprl Lemma : rel_exp_functionality_wrt_iff
11,40
postcript
pdf
T
:Type,
R
,
Q
:(
T
T
).
(
x
,
y
:
T
. (
R
(
x
,
y
))
(
Q
(
x
,
y
)))
(
n
:
,
x
,
y
:
T
. (rel_exp(
T
;
R
;
n
)(
x
,
y
))
(rel_exp(
T
;
Q
;
n
)(
x
,
y
)))
latex
Definitions
Void
,
a
<
b
,
n
-
m
,
n
+
m
,
-
n
,
#$n
,
A
B
,
A
,
False
,
i
j
,
{
x
:
A
|
B
(
x
)}
,
,
Type
,
P
Q
,
P
Q
,
f
(
a
)
,
rel_exp(
T
;
R
;
n
)
,
x
:
A
B
(
x
)
,
x
:
A
.
B
(
x
)
,
t
T
,
,
left
+
right
,
Unit
,
x
:
A
B
(
x
)
,
,
,
b
,
x
.
A
(
x
)
,
P
&
Q
,
P
Q
,
s
=
t
,
(
i
=
j
)
,
b
,
x
:
A
.
B
(
x
)
,
x
f
y
,
A
c
B
Lemmas
and
functionality
wrt
iff
,
rel
exp
wf
,
le
wf
,
assert
wf
,
not
wf
,
bnot
wf
,
eq
int
wf
,
assert
of
eq
int
,
not
functionality
wrt
iff
,
assert
of
bnot
,
iff
transitivity
,
eqff
to
assert
,
eqtt
to
assert
,
nat
wf
,
nat
properties
,
ge
wf
origin