doc-src/TutorialI/ToyList2/ToyList2
author nipkow
Wed, 19 Apr 2000 13:40:42 +0200
changeset 8751 9ed0548177fb
child 8846 c7d945398677
permissions -rw-r--r--
*** empty log message ***

lemma app_Nil2 [simp]: "xs @ [] = xs";
apply(induct_tac xs);
apply(auto).;

lemma app_assoc [simp]: "(xs @ ys) @ zs = xs @ (ys @ zs)";
apply(induct_tac xs);
apply(auto).;

lemma rev_app [simp]: "rev(xs @ ys) = (rev ys) @ (rev xs)";
apply(induct_tac xs);
apply(auto).;

theorem rev_rev [simp]: "rev(rev xs) = xs";
apply(induct_tac xs);
apply(auto).;

end