let R be Ring; :: thesis: for V being RightMod of R
for l being Linear_Combination of {} the carrier of V holds l = ZeroLC V
let V be RightMod of R; :: thesis: for l being Linear_Combination of {} the carrier of V holds l = ZeroLC V
let l be Linear_Combination of {} the carrier of V; :: thesis: l = ZeroLC V
Carrier l c= {} by Def5;
then Carrier l = {} ;
hence l = ZeroLC V by Def4; :: thesis: verum