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Prove each of the following by applying equivalence rules. State the rule you are applying with each step. i. (p q) (p r) p (q

Prove each of the following by applying equivalence rules. State the rule you are applying with each step.

i. (p q) (p r) p (q r)

ii. (p (q (p q))) T

iii. (p q) (p q) (q r) q

iv. (p (p q)) p q

v. ((p q) (p r) (p r) (p q)) p r

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