Exercise 1.5.2: Using the laws of logic to prove logical equivalence.Use the laws of propositional logic to prove the following:(e)(p ightarrow r) vee (q ightarrow r) = (p wedge q) ightarrow r(f)-(p vee (eg p wedge q)) = eg p wedge eg q(g)(p wedge q wedge eg r) vee (p wedge q wedge eg r) = p wedge q wedge eg r(h)p (p wedge r) = eg p vee r(i)(p wedge q) ightarrow r = (p wedge eg r) ightarrow eg q
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