doc-src/TutorialI/ToyList2/ToyList2
author wenzelm
Mon, 14 Jul 2008 17:51:48 +0200
changeset 27579 97ce525f664c
parent 10171 59d6633835fa
permissions -rw-r--r--
end_theory: no result;

lemma app_Nil2 [simp]: "xs @ [] = xs"
apply(induct_tac xs)
apply(auto)
done

lemma app_assoc [simp]: "(xs @ ys) @ zs = xs @ (ys @ zs)"
apply(induct_tac xs)
apply(auto)
done

lemma rev_app [simp]: "rev(xs @ ys) = (rev ys) @ (rev xs)"
apply(induct_tac xs)
apply(auto)
done

theorem rev_rev [simp]: "rev(rev xs) = xs"
apply(induct_tac xs)
apply(auto)
done

end