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
the carrier of V c= the carrier of V ;
then reconsider A = the carrier of V as Subset of V ;
consider v being Vector of V;
A = v + ((Omega). V) by Th62;
hence the carrier of V is Coset of (Omega). V by Def6; :: thesis: verum