theorem Th24: :: VECTSP_2:24

for R being Ring
for x, y being Scalar of R
for v, w being Vector of (RightModule R) holds
( (v + w) * x = (v * x) + (w * x) & v * (x + y) = (v * x) + (v * y) & v * (y * x) = (v * y) * x & v * (1_ R) = v )