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Use the laws of propositional logic to prove the following: 1) (p ∧ q ∧ ¬r)...

Use the laws of propositional logic to prove the following:

1) (p ∧ q ∧ ¬r) ∨ (p ∧ ¬q ∧ ¬r) ≡ p ∧ ¬r

2) (p ∧ q) → r ≡ (p ∧ ¬r) → ¬q

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