let V be non empty CLSStruct ; :: thesis: for L being C_Linear_Combination of V holds 1r * L = L
let L be C_Linear_Combination of V; :: thesis: 1r * L = L
let v be VECTOR of V; :: according to CONVEX4:def 7 :: thesis: (1r * L) . v = L . v
thus (1r * L) . v = 1r * (L . v) by Def9
.= L . v ; :: thesis: verum