
theorem LmSumSc13:
  for L being Z_Lattice, v being Vector of L,
      l being Linear_Combination of L
  st Carrier l = {}
  holds SumSc(v, l) = 0.F_Real
  proof
    let L be Z_Lattice, v be Vector of L,
        l be Linear_Combination of L;
    assume Carrier l = {}; then
    l = ZeroLC(L) by VECTSP_6:def 3;
    hence thesis by LmSumSc11;
  end;
