**Prove the equivalence of the following in three different ways (truth table, simplification, each is a logical consequence of the other): p → (q ∨ r) ≡ (p ∧ ~q) → r.**

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Prove the equivalence of the following in three different ways (truth table, simplification,

each is a logical consequence of the other): p → (q ∨ r) ≡ (p ∧ ~q) → r.