(ii) p β§ π β‘ p and p β§ π½ β‘ π½ Proof (i) π π½ p β¨β¨ π p β¨β¨ π½ Table12. (i) The entries in the columns corresponding to p β¨ π and π are identical and hence they are equivalent. The entries in the columns corresponding to p β¨ π½ and p are identical and hence they are equivalent. Dually (ii) p β§ π β‘ p and p β§ π½ β‘ π½ can be proved.
. Complement Laws (i) p β¨Β¬ β‘ π and p β§Β¬ β‘ π½