Nuprl Lemma : interleaved_split
4,23
postcript
pdf
T
:Type,
L
:
T
List,
P
:(
T
Prop).
(
x
:
T
. Dec(
P
(
x
)))
(
L1
,
L2
:
T
List.
(
interleaving(
T
;
L1
;
L2
;
L
)
(
& (
x
:
T
. (
x
L1
)
(
x
L
) &
P
(
x
))
(
& (
x
:
T
. (
x
L2
)
(
x
L
) &
P
(
x
)))
latex
Definitions
t
T
,
x
:
A
.
B
(
x
)
,
P
Q
,
P
Q
,
P
&
Q
,
P
Q
,
False
,
x
(
s
)
,
interleaving(
T
;
L1
;
L2
;
L
)
,
A
,
Prop
,
(
x
l
)
,
x
.
t
(
x
)
,
x
:
A
.
B
(
x
)
,
Dec(
P
)
,
P
Q
,
{
T
}
,
SQType(
T
)
,
True
Lemmas
interleaving
symmetry
,
cons
interleaving
,
cons
member
,
decidable
wf
,
all
functionality
wrt
iff
,
iff
functionality
wrt
iff
,
and
functionality
wrt
iff
,
nil
member
,
l
member
wf
,
iff
wf
,
interleaving
wf
,
not
wf
,
false
wf
,
nil
interleaving
origin