let V be non empty CLSStruct ; :: thesis: for L1, L2 being C_Linear_Combination of V holds Carrier (L1 - L2) c= (Carrier L1) \/ (Carrier L2)
let L1, L2 be C_Linear_Combination of V; :: thesis: Carrier (L1 - L2) c= (Carrier L1) \/ (Carrier L2)
Carrier (L1 - L2) c= (Carrier L1) \/ (Carrier (- L2)) by Th19;
hence Carrier (L1 - L2) c= (Carrier L1) \/ (Carrier L2) by Th24; :: thesis: verum