
theorem Th33:
  for X be non empty TopSpace holds
  0.R_Normed_Space_of_C_0_Functions(X) = X --> 0
proof
  let X be non empty TopSpace;
  0.R_Normed_Space_of_C_0_Functions(X)
            =0.R_VectorSpace_of_C_0_Functions(X)
           .=X --> 0 by Th32;
  hence thesis;
end;
