reserve V for RealLinearSpace;
reserve W,W1,W2,W3 for Subspace of V;
reserve u,u1,u2,v,v1,v2 for VECTOR of V;
reserve a,a1,a2 for Real;
reserve X,Y,x,y,y1,y2 for set;

theorem
  (0).V + (Omega).V = the RLSStruct of V & (Omega). V + (0).V = the
  RLSStruct of V by Th9;
