let V be RealLinearSpace; :: thesis: for A being Subset of V holds ZeroLC V is Linear_Combination of A
let A be Subset of V; :: thesis: ZeroLC V is Linear_Combination of A
( Carrier (ZeroLC V) = {} & {} c= A ) by Def7, XBOOLE_1:2;
hence ZeroLC V is Linear_Combination of A by Def8; :: thesis: verum