Nuprl Lemma : rel_star-iff-path
11,40
postcript
pdf
T
:Type,
R
:(
T
T
),
x
,
y
:
T
. (
x
(
R
^*)
y
)
(
L
:
T
List. rel-path-between(
T
;
R
;
x
;
y
;
L
))
latex
Definitions
Type
,
x
:
A
B
(
x
)
,
x
:
A
.
B
(
x
)
,
x
:
A
B
(
x
)
,
,
type
List
,
a
<
b
,
f
(
a
)
,
x
f
y
,
s
=
t
,
P
&
Q
,
x
:
A
.
B
(
x
)
,
hd(
l
)
,
rel-path(
R
;
L
)
,
rel-path-between(
T
;
R
;
x
;
y
;
L
)
,
t
T
,
,
<
a
,
b
>
,
,
{
x
:
A
|
B
(
x
)}
,
#$n
,
n
+
m
,
||
as
||
,
,
P
Q
,
P
Q
,
(
x
l
)
,
P
Q
,
x
.
A
(
x
)
,
x
.
t
(
x
)
,
rel_exp(
T
;
R
;
n
)
,
R
^*
,
|
g
|
,
S
T
,
A
,
b
,
Void
,
False
,
A
B
,
i
j
,
last(
L
)
,
A
c
B
,
n
*
m
,
-
n
,
n
-
m
Lemmas
member
wf
,
le
wf
,
rel-path
wf
,
hd
wf
,
last
wf
,
assert
wf
,
length
wf1
,
all
functionality
wrt
iff
,
iff
functionality
wrt
iff
,
rel
exp
wf
,
exists
functionality
wrt
iff
,
rel
exp-iff-path
,
iff
wf
,
rev
implies
wf
,
nat
wf
,
rel-path-between
wf
origin