Show that ¬ (P Q) (P V Q) Λ ¬(P Λ Q) (P Λ ¬Q) V (¬ P Λ Q) without using truth table
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(P Λ ¬Q) V (¬ P Λ Q)=(P Λ ¬Q V¬ P) Λ (P Λ ¬Q V Q ) = ¬Q Λ P
(P V Q) Λ ¬(P Λ Q) = (P V Q) Λ (¬ P V ¬Q) = (P Λ ¬Q) V (Q Λ ¬ P) = P Λ ¬Q