theorem Th10: :: VECTSP_6:10

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 v being Element of V
for f being Function of V,GF holds f (#) <*v*> = <*((f . v) * v)*>