doc-src/TutorialI/ToyList/ToyList2
author wenzelm
Tue, 28 Aug 2012 17:51:43 +0200
changeset 48973 fcd21f714996
parent 48966 6e15de7dd871
permissions -rw-r--r--
updated .hgignore to reflect to (almost) clean result of build_doc;

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