
theorem LmSumScDM13:
  for L being Z_Lattice, v being Vector of DivisibleMod(L),
      l being Linear_Combination of DivisibleMod(L)
  st Carrier l = {}
  holds SumSc(v, l) = 0.F_Real
  proof
    let L be Z_Lattice, v be Vector of DivisibleMod(L),
        l be Linear_Combination of DivisibleMod(L) such that
    A1: Carrier l = {};
    l = ZeroLC(DivisibleMod(L)) by A1,VECTSP_6:def 3;
    hence thesis by LmSumScDM11;
  end;
