let X be non empty set ; :: thesis: X --> 0 = 0. (R_Normed_Algebra_of_BoundedFunctions X)
X --> 0 = 0. (R_Algebra_of_BoundedFunctions X) by Th15;
hence X --> 0 = 0. (R_Normed_Algebra_of_BoundedFunctions X) ; :: thesis: verum