
theorem
  for X be non empty set for Y be RealNormSpace holds RLSStruct (#
BoundedFunctions(X,Y), Zero_(BoundedFunctions(X,Y), RealVectSpace(X,Y)), Add_(
    BoundedFunctions(X,Y), RealVectSpace(X,Y)), Mult_(BoundedFunctions(X,Y),
    RealVectSpace(X,Y)) #) is Subspace of RealVectSpace(X,Y) by Th6,RSSPACE:11;
