theorem :: VECTSP_6:33

for GF being non empty right_complementable well-unital distributive Abelian add-associative right_zeroed associative doubleLoopStr
for V being non empty right_complementable vector-distributive scalar-distributive scalar-associative scalar-unital Abelian add-associative right_zeroed ModuleStr over GF
for a being Element of GF
for L1, L2 being Linear_Combination of V holds a * (L1 + L2) = (a * L1) + (a * L2)