 reserve RNS1,RNS2 for RealLinearSpace;

theorem
the RLSStruct of RNS1 = the RLSStruct of RNS2
implies
  for Lv be Linear_Combination of RNS1,
      Lr be Linear_Combination of RNS2 st Lr = Lv
  holds Carrier Lr = Carrier Lv;
