11. Let X be a set and be an equivalence relation on X. Prove that for x,y e X, if xy, then [x][y] = 0.
11. Let X be a set and be an equivalence relation on X. Prove that for x,y e X, if xy, then [x][y] = 0.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 16E
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![11.
Let X be a set and be an equivalence relation on X. Prove that for
x,yEX, if xy, then [x][y] = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f0128e8-6553-498c-afa0-dd14e88e258d%2F48863532-6572-4e73-a81e-0693bf0ae3d2%2Fdwlnqej_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11.
Let X be a set and be an equivalence relation on X. Prove that for
x,yEX, if xy, then [x][y] = 0.
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