Nuprl Lemma : interleaving_singleton
4,23
postcript
pdf
T
:Type,
L
:
T
List,
i
:
||
L
||.
L2
:
T
List,
f1
:(
1
||
L
||),
f2
:(
||
L2
||
||
L
||).
interleaving_occurence(
T
;[
L
[
i
]];
L2
;
L
;
f1
;
f2
) &
f1
(0) =
i
latex
Definitions
P
&
Q
,
x
:
A
.
B
(
x
)
,
x
:
A
.
B
(
x
)
,
||
as
||
,
Dec(
P
)
,
P
Q
,
False
,
A
,
A
B
,
i
j
<
k
,
{
i
..
j
}
,
t
T
,
Prop
,
interleaving_occurence(
T
;
L1
;
L2
;
L
;
f1
;
f2
)
,
l
[
i
]
,
True
,
T
,
,
increasing(
f
;
k
)
,
i
j
,
P
Q
,
hd(
l
)
,
i
<
j
,
i
j
,
{
T
}
,
SQType(
T
)
,
S
T
,
S
T
,
P
Q
Lemmas
cons
one
one
,
non
neg
length
,
member
wf
,
interleaving
occurence
wf
,
list
extensionality
,
select
wf
,
nat
wf
,
le
wf
,
decidable
lt
,
int
seg
wf
,
length
wf1
,
interleaving
split
,
decidable
int
equal
origin