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 Def5;

hence ZeroLC V is Linear_Combination of A by Def6; :: thesis: verum

let A be Subset of V; :: thesis: ZeroLC V is Linear_Combination of A

( Carrier (ZeroLC V) = {} & {} c= A ) by Def5;

hence ZeroLC V is Linear_Combination of A by Def6; :: thesis: verum