reserve x,y,y1,y2 for set,
  p for FinSequence,
  i,k,l,n for Nat,
  V for RealLinearSpace,
  u,v,v1,v2,v3,w for VECTOR of V,
  a,b for Real,
  F,G,H1,H2 for FinSequence of V,
  A,B for Subset of V,
  f for Function of the carrier of V, REAL;
reserve K,L,L1,L2,L3 for Linear_Combination of V;
reserve l,l1,l2 for Linear_Combination of A;

theorem
  Carrier(L1 - L2) c= Carrier(L1) \/ Carrier(L2)
proof
  Carrier(L1 - L2) c= Carrier(L1) \/ Carrier(- L2) by Th37;
  hence thesis by Th42;
end;
