Question: Prove the distributive laws for propositional logic: If P, Q and R are statements, then a) p (Q R) (P Q) (P R)

Prove the distributive laws for propositional logic:

If P, Q and R are statements, then

a) p∨ (Q ∧ R)  ≡ (P ∨Q) ∧(P ∨R)

b) p∧ (Q ∨ R) ≡  (P ∧Q) ∨(P∧ R).


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