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;
