src/Doc/Tutorial/ToyList/ToyList2.txt
author wenzelm
Wed, 24 Mar 2021 21:17:19 +0100
changeset 73476 6b480efe1bc3
parent 57083 5c26000e1042
permissions -rw-r--r--
support for Java Chromium Embedded Framework (JCEF): still somewhat fragile;

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