src/Doc/Tutorial/ToyList/ToyList2
author Christian Sternagel
Wed, 29 Aug 2012 10:57:24 +0900
changeset 49081 092668a120cc
parent 48985 5386df44a037
permissions -rw-r--r--
changed arguement order of suffixeq (to facilitate reading "suffixeq xs ys" as "xs is a (possibly empty) suffix of ys)

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