reserve X for non empty set;
reserve Y for ComplexLinearSpace;
reserve f,g,h for Element of Funcs(X,the carrier of Y);
reserve a,b for Complex;
reserve u,v,w for VECTOR of CLSStruct(#Funcs(X,the carrier of Y), (FuncZero(X,
    Y)),FuncAdd(X,Y),FuncExtMult(X,Y)#);

theorem
  for X,Y be ComplexLinearSpace holds CLSStruct (# LinearOperators(X,Y),
    Zero_(LinearOperators(X,Y),ComplexVectSpace(the carrier of X,Y)), Add_(
    LinearOperators(X,Y), ComplexVectSpace(the carrier of X,Y)), Mult_(
LinearOperators(X,Y), ComplexVectSpace(the carrier of X,Y)) #) is Subspace of
  ComplexVectSpace(the carrier of X,Y) by Th13,CSSPACE:11;
