--- a/src/HOL/List.thy Fri Jul 24 13:02:01 1998 +0200
+++ b/src/HOL/List.thy Fri Jul 24 13:03:20 1998 +0200
@@ -6,7 +6,7 @@
The datatype of finite lists.
*)
-List = WF_Rel +
+List = WF_Rel + Datatype +
datatype 'a list = "[]" ("[]") | "#" 'a ('a list) (infixr 65)
@@ -74,76 +74,76 @@
syntax length :: 'a list => nat
translations "length" => "size:: _ list => nat"
-primrec hd list
+primrec
"hd([]) = arbitrary"
"hd(x#xs) = x"
-primrec tl list
+primrec
"tl([]) = []"
"tl(x#xs) = xs"
-primrec last list
+primrec
"last [] = arbitrary"
"last(x#xs) = (if xs=[] then x else last xs)"
-primrec butlast list
+primrec
"butlast [] = []"
"butlast(x#xs) = (if xs=[] then [] else x#butlast xs)"
-primrec "op mem" list
+primrec
"x mem [] = False"
"x mem (y#ys) = (if y=x then True else x mem ys)"
-primrec set list
+primrec
"set [] = {}"
"set (x#xs) = insert x (set xs)"
-primrec list_all list
+primrec
list_all_Nil "list_all P [] = True"
list_all_Cons "list_all P (x#xs) = (P(x) & list_all P xs)"
-primrec map list
+primrec
"map f [] = []"
"map f (x#xs) = f(x)#map f xs"
-primrec "op @" list
-append_Nil "[] @ys = ys"
-append_Cons "(x#xs)@ys = x#(xs@ys)"
-primrec rev list
+primrec
+ append_Nil "[] @ys = ys"
+ append_Cons "(x#xs)@ys = x#(xs@ys)"
+primrec
"rev([]) = []"
"rev(x#xs) = rev(xs) @ [x]"
-primrec filter list
+primrec
"filter P [] = []"
"filter P (x#xs) = (if P x then x#filter P xs else filter P xs)"
-primrec foldl list
+primrec
"foldl f a [] = a"
"foldl f a (x#xs) = foldl f (f a x) xs"
-primrec concat list
+primrec
"concat([]) = []"
"concat(x#xs) = x @ concat(xs)"
-primrec drop list
+primrec
drop_Nil "drop n [] = []"
drop_Cons "drop n (x#xs) = (case n of 0 => x#xs | Suc(m) => drop m xs)"
-primrec take list
+primrec
take_Nil "take n [] = []"
take_Cons "take n (x#xs) = (case n of 0 => [] | Suc(m) => x # take m xs)"
-primrec nth nat
+primrec
"xs!0 = hd xs"
"xs!(Suc n) = (tl xs)!n"
-primrec list_update list
+primrec
" [][i:=v] = []"
"(x#xs)[i:=v] = (case i of 0 => v # xs
| Suc j => x # xs[j:=v])"
-primrec takeWhile list
+primrec
"takeWhile P [] = []"
"takeWhile P (x#xs) = (if P x then x#takeWhile P xs else [])"
-primrec dropWhile list
+primrec
"dropWhile P [] = []"
"dropWhile P (x#xs) = (if P x then dropWhile P xs else x#xs)"
-primrec zip list
+primrec
"zip xs [] = []"
"zip xs (y#ys) = (hd xs,y)#zip (tl xs) ys"
-primrec nodups list
+primrec
"nodups [] = True"
"nodups (x#xs) = (x ~: set xs & nodups xs)"
-primrec remdups list
+primrec
"remdups [] = []"
"remdups (x#xs) = (if x : set xs then remdups xs else x # remdups xs)"
-primrec replicate nat
-replicate_0 "replicate 0 x = []"
-replicate_Suc "replicate (Suc n) x = x # replicate n x"
+primrec
+ replicate_0 "replicate 0 x = []"
+ replicate_Suc "replicate (Suc n) x = x # replicate n x"
end