Nuprl Lemma : all-but-one
0,22
postcript
pdf
T
:Type,
P
:(
T
Prop),
L
:
T
List.
0<||
L
||
(
x
,
y
:
T
. Dec(
x
=
y
))
((
x
L
.
y
L
.
x
=
y
T
P
(
x
)
P
(
y
))
(
x
L
.
y
L
.
x
=
y
T
P
(
y
)))
latex
Definitions
P
Q
,
P
&
Q
,
P
Q
,
P
Q
,
False
,
(
x
L
.
P
(
x
))
,
x
L
.
P
(
x
)
,
x
.
t
(
x
)
,
A
,
x
(
s
)
,
Dec(
P
)
,
P
Q
,
Prop
,
||
as
||
,
x
:
A
.
B
(
x
)
,
t
T
,
{
T
}
,
i
j
,
(
x
l
)
,
x
:
A
.
B
(
x
)
,
{
i
..
j
}
,
i
j
<
k
,
A
B
,
l
[
i
]
,
i
j
,
i
<
j
,
hd(
l
)
Lemmas
exists
functionality
wrt
iff
,
le
wf
,
select
member
,
cons
member
,
l
member
wf
,
all
functionality
wrt
iff
,
non
neg
length
,
l
all
nil
,
false
wf
,
iff
wf
,
l
exists
nil
,
or
functionality
wrt
iff
,
iff
functionality
wrt
iff
,
implies
functionality
wrt
iff
,
l
all
cons
,
and
functionality
wrt
iff
,
iff
transitivity
,
l
exists
cons
,
length
wf1
,
decidable
wf
,
not
wf
,
l
all
wf
,
l
exists
wf
origin