reserve X for set,
        n,m,k for Nat,
        K for Field,
        f for n-element real-valued FinSequence,
        M for Matrix of n,m,F_Real;

theorem
  for Lv be Linear_Combination of TOP-REAL n,
      Lr be Linear_Combination of REAL-NS n
    st Lr = Lv
  holds Carrier Lr = Carrier Lv;
