Suppose that R1 and R2 are equivalence relations on a set

Chapter 13, Problem 54E

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Problem 54E

Suppose that R1 and R2 are equivalence relations on a set A. Let P1 and P2 be the partitions that correspond to R1 and R2.respectively. Show that R1⊆ R2 if and only if P1 is a refinement of P2.

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