Answered: for an equivalence relation R on A,…

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Calculus

for an equivalence relation R on A, both sets, the class of equivalence classes of R —A/R— is a set.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 3TFE: True or False Label each of the following statements as either true or false. If is an equivalence...

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Question

Show that it was not necessary to apply the new Principle 3
to prove that for an equivalence relation R on A, both sets, the class of
equivalence classes of R —A/R— is a set.

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