اثبات قانون پخشی در مجموعه ها معرکه میدم

x is member of A & (B union C) x is member of A or x is member of(B union C) x is member of A & (x is member of B or x is member of C) (x is member of A & x is member of B) or (x is member of A & x is member of C) (x is member of (A inters B)) or (x is member of (A inters C)) x is member of ((A inters B) union (A inters C)) پس رابطه اثبات شد

جواب: