Let f x 1 Let f: X→ Y be a surjective function. Define a relation on X by setting ay iff f(x) = f(y). Show that is an equivalence relation on X.

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Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.1: Concept Of A Function

Problem 100PS

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f: X → Y be a surjective function. Define a relation on X by setting ay iff f(x) = f(y). Show that is an equivalence relation on X.