theorem Th65:
  for x being Element of gen_R^1 holds
  ex y being Point of TopSpaceMetr(RealSpace) st x = y &
  U_FMT x = Balls(y)
  proof
    let x be Element of gen_R^1;
    ex y be Point of TopSpaceMetr(RealSpace) st
      y = x & (gen_NS_R^1).x = Balls(y) by Def20;
    hence thesis by FINTOPO2:def 6;
  end;
