active
and
tt
T
mark
T
active
isNatIList
IL
mark
isNatList
IL
active
isNat
0
mark
tt
active
isNat
s
N
mark
isNat
N
active
isNat
length
L
mark
isNatList
L
active
isNatIList
zeros
mark
tt
active
isNatIList
cons
N
IL
mark
and
isNat
N
isNatIList
IL
active
isNatList
nil
mark
tt
active
isNatList
cons
N
L
mark
and
isNat
N
isNatList
L
active
isNatList
take
N
IL
mark
and
isNat
N
isNatIList
IL
active
zeros
mark
cons
0
zeros
active
take
0
IL
mark
uTake1
isNatIList
IL
active
uTake1
tt
mark
nil
active
take
s
M
cons
N
IL
mark
uTake2
and
isNat
M
and
isNat
N
isNatIList
IL
M
N
IL
active
uTake2
tt
M
N
IL
mark
cons
N
take
M
IL
active
length
cons
N
L
mark
uLength
and
isNat
N
isNatList
L
L
active
uLength
tt
L
mark
s
length
L
active
and
X1
X2
and
active
X1
X2
active
and
X1
X2
and
X1
active
X2
active
s
X
s
active
X
active
length
X
length
active
X
active
cons
X1
X2
cons
active
X1
X2
active
take
X1
X2
take
active
X1
X2
active
take
X1
X2
take
X1
active
X2
active
uTake1
X
uTake1
active
X
active
uTake2
X1
X2
X3
X4
uTake2
active
X1
X2
X3
X4
active
uLength
X1
X2
uLength
active
X1
X2
and
mark
X1
X2
mark
and
X1
X2
and
X1
mark
X2
mark
and
X1
X2
s
mark
X
mark
s
X
length
mark
X
mark
length
X
cons
mark
X1
X2
mark
cons
X1
X2
take
mark
X1
X2
mark
take
X1
X2
take
X1
mark
X2
mark
take
X1
X2
uTake1
mark
X
mark
uTake1
X
uTake2
mark
X1
X2
X3
X4
mark
uTake2
X1
X2
X3
X4
uLength
mark
X1
X2
mark
uLength
X1
X2
proper
and
X1
X2
and
proper
X1
proper
X2
proper
tt
ok
tt
proper
isNatIList
X
isNatIList
proper
X
proper
isNatList
X
isNatList
proper
X
proper
isNat
X
isNat
proper
X
proper
0
ok
0
proper
s
X
s
proper
X
proper
length
X
length
proper
X
proper
zeros
ok
zeros
proper
cons
X1
X2
cons
proper
X1
proper
X2
proper
nil
ok
nil
proper
take
X1
X2
take
proper
X1
proper
X2
proper
uTake1
X
uTake1
proper
X
proper
uTake2
X1
X2
X3
X4
uTake2
proper
X1
proper
X2
proper
X3
proper
X4
proper
uLength
X1
X2
uLength
proper
X1
proper
X2
and
ok
X1
ok
X2
ok
and
X1
X2
isNatIList
ok
X
ok
isNatIList
X
isNatList
ok
X
ok
isNatList
X
isNat
ok
X
ok
isNat
X
s
ok
X
ok
s
X
length
ok
X
ok
length
X
cons
ok
X1
ok
X2
ok
cons
X1
X2
take
ok
X1
ok
X2
ok
take
X1
X2
uTake1
ok
X
ok
uTake1
X
uTake2
ok
X1
ok
X2
ok
X3
ok
X4
ok
uTake2
X1
X2
X3
X4
uLength
ok
X1
ok
X2
ok
uLength
X1
X2
top
mark
X
top
proper
X
top
ok
X
top
active
X
active
1
and
2
tt
0
mark
1
isNatIList
1
isNatList
1
isNat
1
0
0
s
1
length
1
zeros
0
cons
2
nil
0
take
2
uTake1
1
uTake2
4
uLength
2
proper
1
ok
1
top
1
INNERMOST
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