
theorem Th20:
  for X being non empty compact TopSpace holds
  X --> 0 = 0.(C_Normed_Algebra_of_ContinuousFunctions X)
proof
  let X be non empty compact TopSpace;
  X --> 0 = 0.(C_Algebra_of_ContinuousFunctions X) by Th13;
  hence X --> 0 = 0.(C_Normed_Algebra_of_ContinuousFunctions X);
end;
