
theorem Th15:
  for X be non empty set for Y be RealNormSpace holds (X --> 0.Y)
  = 0.R_NormSpace_of_BoundedFunctions(X,Y)
proof
  let X be non empty set;
  let Y be RealNormSpace;
  (X --> 0.Y) =0.R_VectorSpace_of_BoundedFunctions(X,Y) by Th10
    .=0.R_NormSpace_of_BoundedFunctions(X,Y);
  hence thesis;
end;
