Show that the propositions p1, p2, p3, p4, and p5 can be shown to be equivalent by

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Show that the propositions p1, p2, p3, p4, and p5 can be shown to be equivalent by proving that the conditional statements p1 → p4, p3 → p1, p4 → p2, p2 → p5, and p5 → p3 are true.
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