
theorem
  for X be non empty set for Y be ComplexNormSpace holds CLSStruct (#
    ComplexBoundedFunctions(X,Y), Zero_(ComplexBoundedFunctions(X,Y),
ComplexVectSpace(X,Y)), Add_(ComplexBoundedFunctions(X,Y),ComplexVectSpace(X,Y)
), Mult_(ComplexBoundedFunctions(X,Y),ComplexVectSpace(X,Y)) #) is Subspace of
  ComplexVectSpace(X,Y) by Th7,CSSPACE:11;
