let V be non empty addLoopStr ; :: thesis: for A being Subset of holds ZeroCLC V is C_Linear_Combination of A
let A be Subset of ; :: thesis: ZeroCLC V is C_Linear_Combination of A
( Carrier (ZeroCLC V) = {} & {} c= A ) by XBOOLE_1:2;
hence ZeroCLC V is C_Linear_Combination of A by Def4; :: thesis: verum