Prove that if R is an equivalence relation on a set A, then the inverse relation R−1 is an equivalence relation on A. step by step please

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 27E: Prove Theorem 1.40: If is an equivalence relation on the nonempty set , then the distinct...
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Prove that if R is an equivalence relation on a set A, then the inverse relation R−1 is an equivalence relation on A. step by step please

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