src/Doc/Tutorial/ToyList/ToyList2.txt
author wenzelm
Mon, 18 Aug 2014 12:17:31 +0200
changeset 57978 8f4a332500e4
parent 57083 5c26000e1042
permissions -rw-r--r--
Added tag Isabelle2014-RC4 for changeset 113b43b84412

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