Answered: Let f : A → B be a function and let G…

Let f : A → B be a function and let G be an equivalence relation in B. Prove that f (G) is an equivalence relation in A.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 23E: 23. Let be the equivalence relation on defined by if and only if there exists an element in ...

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Let f : A → B be a function and let G be an equivalence relation in B. Prove that f (G)
is an equivalence relation in A.

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