src/Doc/Tutorial/ToyList/ToyList2.txt
author blanchet
Wed, 04 Nov 2015 15:07:23 +0100
changeset 61569 947ce60a06e1
parent 57083 5c26000e1042
permissions -rw-r--r--
eliminated Nitpick's pedantic support for 'emdash'

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