
theorem Th3:
  for T being non empty TopSpace, A,B being Subset of T, n being
  Nat, S being Drizzle of A,B,n holds S is Element of PFuncs(DYADIC,
  bool the carrier of T)
proof
  let T be non empty TopSpace;
  let A,B be Subset of T;
  let n be Nat;
  let S be Drizzle of A,B,n;
  dyadic(n) c= DYADIC by URYSOHN2:23;
  then S is PartFunc of DYADIC,bool the carrier of T by RELSET_1:7;
  hence thesis by PARTFUN1:45;
end;
