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Let f: X → Y and define x~y if f (x) = f (y). Show that - is an equivalence relation on X.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...

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Let f: X → Y and define x~y if f (x) = f (y). Show that - is an equivalence relation
on X.

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