let V be non empty CLSStruct ; :: thesis: for L being C_Linear_Combination of V holds L - L = ZeroCLC V
let L be C_Linear_Combination of V; :: thesis: L - L = ZeroCLC V
let v be VECTOR of V; :: according to CONVEX4:def 7 :: thesis: (L - L) . v = (ZeroCLC V) . v
thus (L - L) . v = (L . v) - (L . v) by Th34
.= (ZeroCLC V) . v by Th2 ; :: thesis: verum