let R be Ring; :: thesis: for V being RightMod of R holds the carrier of V is Coset of (Omega). V
let V be RightMod of R; :: thesis: the carrier of V is Coset of (Omega). V
set v = the Vector of V;
the carrier of V c= the carrier of V ;
then reconsider A = the carrier of V as Subset of V ;
A = the Vector of V + ((Omega). V) by Th47;
hence the carrier of V is Coset of (Omega). V by Def6; :: thesis: verum