Let A, B, C be three non-empty sets. Suppose that A× C = B× C. Prove that A = B

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 9E: For the given subsets A and B of Z, let f(x)=2x and determine whether f:AB is onto and whether it is...
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Let A, B, C be three non-empty sets. Suppose that Ax C = B×C.
A = B
Prove that
Transcribed Image Text:Let A, B, C be three non-empty sets. Suppose that Ax C = B×C. A = B Prove that
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