Problem:
from(X) -> cons(X,from(s(X)))
sel(0(),cons(X,XS)) -> X
sel(s(N),cons(X,XS)) -> sel(N,XS)
minus(X,0()) -> 0()
minus(s(X),s(Y)) -> minus(X,Y)
quot(0(),s(Y)) -> 0()
quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y)))
zWquot(XS,nil()) -> nil()
zWquot(nil(),XS) -> nil()
zWquot(cons(X,XS),cons(Y,YS)) -> cons(quot(X,Y),zWquot(XS,YS))
Proof:
Containment Processor: loop length: 1
terms:
from(X)
context: cons(X,[])
substitution:
X -> s(X)
Qed