src/Doc/Tutorial/ToyList/ToyList2
author blanchet
Wed, 05 Sep 2012 09:54:20 +0200
changeset 49140 cb80b6404f8e
parent 48985 5386df44a037
permissions -rw-r--r--
fixed bug in type instantiation of case theorem

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