theorem :: MOD_4:24

for K, L being Ring
for J being Function of K,L
for x, y being Scalar of K st J is antilinear holds
( J . (0. K) = 0. L & J . (- x) = - (J . x) & J . (x - y) = (J . x) - (J . y) ) by Lm9, Lm10, Lm11;