let R be Ring; :: thesis: for V being RightMod of R
for W being Submodule of V holds the carrier of W is Coset of W
let V be RightMod of R; :: thesis: for W being Submodule of V holds the carrier of W is Coset of W
let W be Submodule of V; :: thesis: the carrier of W is Coset of W
the carrier of W = (0. V) + W by Lm2;
hence the carrier of W is Coset of W by Def6; :: thesis: verum