Problem:
from(X) -> cons(X,from(s(X)))
head(cons(X,XS)) -> X
2nd(cons(X,XS)) -> head(XS)
take(0(),XS) -> nil()
take(s(N),cons(X,XS)) -> cons(X,take(N,XS))
sel(0(),cons(X,XS)) -> X
sel(s(N),cons(X,XS)) -> sel(N,XS)
Proof:
Containment Processor: loop length: 1
terms:
from(X)
context: cons(X,[])
substitution:
X -> s(X)
Qed