doc-src/TutorialI/Overview/LNCS/FP0.thy
author wenzelm
Fri, 16 Apr 2010 21:28:09 +0200
changeset 36176 3fe7e97ccca8
parent 16417 9bc16273c2d4
permissions -rw-r--r--
replaced generic 'hide' command by more conventional 'hide_class', 'hide_type', 'hide_const', 'hide_fact' -- frees some popular keywords;

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