Suppose that {Ai}iel and {Bj}jeJ are families of nonempty classes with the same index class I.Prove that ifII Ai CII Bi,iЄIiEIthen A, B, for each index i.

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Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.4: Binary Operations

Problem 9E: 9. The definition of an even integer was stated in Section 1.2. Prove or disprove that the set of...

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Suppose that {Ai}iel and {B;}jej are families of nonempty classes with the same index class I. Prove that if II Ai CII Bi, iЄI iЄI then A, B, for each index i.