src/ZF/Coind/Map.thy

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(*  Title:      ZF/Coind/Map.thy
    ID:         $Id$
    Author:     Jacob Frost, Cambridge University Computer Laboratory
    Copyright   1995  University of Cambridge
*)

Map = QUniv +

consts
  TMap :: [i,i] => i
  PMap :: [i,i] => i
defs
  TMap_def "TMap(A,B) == {m:Pow(A*Union(B)).ALL a:A. m``{a}:B}"
  PMap_def "PMap(A,B) == TMap(A,cons(0,B))"

(* Note: 0:B ==> TMap(A,B) = PMap(A,B) *)
  
consts
  map_emp :: i
  map_owr :: [i,i,i]=>i
  map_app :: [i,i]=>i
defs
  map_emp_def "map_emp == 0"
  map_owr_def "map_owr(m,a,b) ==
	         SUM x:{a} Un domain(m). if x=a then b else m``{x}"
  map_app_def "map_app(m,a) == m``{a}"
  
end