reserve R for Ring,
  V for RightMod of R,
  a,b for Scalar of R,
  x,y for set,
  p,q ,r for FinSequence,
  i,k for Nat,
  u,v,v1,v2,v3,w for Vector of V,
  F,G,H for FinSequence of V,
  A,B for Subset of V,
  f for Function of V, R,
  S,T for finite Subset of V;

theorem Th5:
  Sum({}V) = 0.V
proof
  Sum(<*>(the carrier of V)) = 0.V by RLVECT_1:43;
  hence thesis by Def1,RELAT_1:38;
end;
