author | wenzelm |
Tue, 28 Aug 2012 14:37:57 +0200 | |
changeset 48966 | 6e15de7dd871 |
parent 10171 | doc-src/TutorialI/ToyList2/ToyList2@59d6633835fa |
permissions | -rw-r--r-- |
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