doc-src/TutorialI/Overview/LNCS/FP0.thy
author wenzelm
Tue, 14 Oct 2008 15:16:11 +0200
changeset 28586 d238b83ba3fc
parent 16417 9bc16273c2d4
permissions -rw-r--r--
renamed kill_all to kill, in conformance with atp_kill command; simplified/unified treatment of preferences; check_thread_manager: CRITICAL due to global ref; goal addressing via Thm.cprem_of; reduced NJ basis library stuff to bare minimum;

theory FP0 imports PreList begin

datatype 'a list = Nil                          ("[]")
                 | Cons 'a "'a list"            (infixr "#" 65)

consts app :: "'a list \<Rightarrow> 'a list \<Rightarrow> 'a list"   (infixr "@" 65)
       rev :: "'a list \<Rightarrow> 'a list"

primrec
"[] @ ys       = ys"
"(x # xs) @ ys = x # (xs @ ys)"

primrec
"rev []        = []"
"rev (x # xs)  = (rev xs) @ (x # [])"

theorem rev_rev [simp]: "rev(rev xs) = xs"
(*<*)oops(*>*)text_raw{*\isanewline\isanewline*}

end