doc-src/TutorialI/ToyList2/ToyList2
author paulson
Fri, 14 May 2004 16:50:13 +0200
changeset 14746 9f7b31cf74d8
parent 10171 59d6633835fa
permissions -rw-r--r--
deleted redundant proof lines

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