author | wenzelm |
Sat, 24 May 2014 20:07:26 +0200 | |
changeset 57083 | 5c26000e1042 |
parent 48985 | src/Doc/Tutorial/ToyList/ToyList2@5386df44a037 |
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