theorem :: VECTSP_4:82

for GF being non empty right_complementable well-unital distributive Abelian add-associative right_zeroed associative commutative 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, b being Element of GF
for v being Element of V holds (a - b) * v = (a * v) - (b * v) by Lm1;