Nuprl Lemma : no_repeats_l_index-inj
11,40
postcript
pdf
T
:Type,
eq
:EqDecider(
T
),
L
:(
T
List).
no_repeats(
T
;
L
)
Inj({
x
:
T
| (
x
L
)} ;{0..||
L
||
};
x
.index(
L
;
x
))
latex
Definitions
t
T
,
P
Q
,
x
:
A
.
B
(
x
)
,
index(
L
;
x
)
,
||
as
||
,
#$n
,
{
i
..
j
}
,
s
=
t
,
,
(
x
l
)
,
{
x
:
A
|
B
(
x
)}
,
,
A
B
,
a
<
b
,
x
:
A
B
(
x
)
,
P
&
Q
,
i
j
<
k
,
True
,
T
,
x
:
A
B
(
x
)
,
Inj(
A
;
B
;
f
)
,
Type
,
EqDecider(
T
)
,
type
List
,
no_repeats(
T
;
l
)
,
A
,
,
s
~
t
,
{
T
}
,
False
,
SQType(
T
)
,
A
c
B
,
x
:
A
.
B
(
x
)
,
Void
,
l
[
i
]
,
P
Q
,
P
Q
Lemmas
select
wf
,
squash
wf
,
no
repeats
l
index
,
select
member
,
le
wf
,
no
repeats
wf
,
deq
wf
,
l
member
wf
,
int
seg
wf
,
length
wf1
,
l
index
wf
origin