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
Chapter1: Fundamentals
Section1.7: Relations
Problem 12E: Let and be lines in a plane. Decide in each case whether or not is an equivalence relation, and...
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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.
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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