src/Doc/Tutorial/ToyList/ToyList2.txt
author wenzelm
Sat, 23 May 2015 17:19:37 +0200
changeset 60299 5ae2a2e74c93
parent 57083 5c26000e1042
permissions -rw-r--r--
clarified NEWS: document_files are officially required since Isabelle2014, but the absence was tolerated as legacy feature;

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