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Use the laws of propositional logic to prove that the following compound propositions are logically equivalent. a. (5 pt.) ( ) ( ) and (

Use the laws of propositional logic to prove that the following compound propositions are logically equivalent.

a. (5 pt.) ( ) ( ) and ( )

b. (10 pt.) and ( ) ( )

c. (10 pt.) ( ) and

d. (10 pt.) ( ( ( ))) and ( )

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