reserve K for Ring,
  V1,W1 for VectSp of K;
reserve F for Field,
  V,W for VectSp of F;
reserve T for linear-transformation of V,W;
reserve l for Linear_Combination of V;

theorem Th32:
  for l,m being Linear_Combination of V st (Carrier l) misses (
  Carrier m) holds Carrier (l - m) = (Carrier l) \/ (Carrier m)
proof
  let l,m be Linear_Combination of V such that
A1: (Carrier l) misses (Carrier m);
  Carrier (-m) = Carrier m by VECTSP_6:38;
  hence thesis by A1,Th31;
end;
