Question: Problem 1. [30 points) For this problem, you may assume that all the mentioned sets lie in a common universal set. Prove the following statements:

Problem 1. [30 points) For this problem, you may assume that all the mentioned sets lie in a common universal set. Prove the following statements: a) P Q if and only if SP. b) If PCR and Q CR, then QCP. c) If e is such that ce PUQ and ce On R, then c E POR

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