let V be RealLinearSpace; :: 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 Def6;

then Carrier l = {} ;

hence l = ZeroLC V by Def5; :: thesis: verum

let l be Linear_Combination of {} the carrier of V; :: thesis: l = ZeroLC V

Carrier l c= {} by Def6;

then Carrier l = {} ;

hence l = ZeroLC V by Def5; :: thesis: verum