
theorem Th12:
  for X being compact non empty TopSpace holds
  X --> 0 = 0.R_Normed_Algebra_of_ContinuousFunctions(X)
proof
  let X be compact non empty TopSpace;
  X-->0 = 0.R_Algebra_of_ContinuousFunctions(X) by Th6;
  hence thesis;
end;
