theorem :: RMOD_4:27

for R being Ring
for V being RightMod of R
for v1, v2, v3 being Vector of V
for f being Function of V,R holds f (#) <*v1,v2,v3*> = <*(v1 * (f . v1)),(v2 * (f . v2)),(v3 * (f . v3))*>