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4. Prove the following sequents. [50 points] a. (A B) C A (B C) b. P Q (P Q) c. (P Q) (Q R) P

4. Prove the following sequents. [50 points] a. (A B) C A (B C) b. P Q (P Q) c. (P Q) (Q R) P Q R d. P (Q R) (P Q) (P R) e. X Y, A B X A Y B

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