Do the following proofs deductively. Justify each step in your proof with a law or inference...

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Do the following proofs deductively. Justify each step in yourproof with a law or inference rule.

a) If P ⇒ Q, ¬R ⇒¬Q, and P then prove R.

b) If P ⇒ (Q ∧ R) and ¬R ∧ Q then prove ¬P.

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a P Q R Q PP V Q R V Q PLaw of Implies AB AVB P V Q R V Q P ByDemorgans law A A P V Q Q V R P Commutativelaw A V B B V A P V    See Answer
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