Nuprl Lemma : no-repeats-pairwise
11,40
postcript
pdf
T
:Type{i},
L
:(
T
List),
P
:({
x
:
T
| (
x
L
)}
{
x
:
T
| (
x
L
)}
{i'}).
no_repeats(
T
;
L
)
(
x
,
y
:{
x
:
T
| (
x
L
)} . (
(
x
=
y
))
P
(
x
,
y
))
(
x
,
y
L
.
P
(
x
,
y
))
latex
Definitions
no_repeats(
T
;
l
)
,
(
x
,
y
L
.
P
(
x
;
y
))
,
Type
,
t
T
,
type
List
,
,
x
:
A
B
(
x
)
,
(
x
l
)
,
{
x
:
A
|
B
(
x
)}
,
x
:
A
.
B
(
x
)
,
f
(
a
)
,
x
(
s1
,
s2
)
,
s
=
t
,
A
,
P
Q
,
i
j
,
||
as
||
,
{
i
..
j
}
,
False
,
P
&
Q
,
A
B
,
i
j
<
k
,
,
l
[
i
]
,
#$n
,
Lemmas
le
wf
,
length
wf1
,
list-set-type
,
select
wf
,
not
wf
,
no
repeats
wf
,
l
member
wf
origin