9. Let A be a nonempty set. Prove that if f is a bijection on A and f o f = f. then f is the identity function, i

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.5: Permutations And Inverses
Problem 5E: Let f:AA, where A is nonempty. Prove that f a has right inverse if and only if f(f1(T))=T for every...
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9. Let A be a nonempty set. Prove that if f is a bijection on A and f o f = f.
then f is the identity function, i
Transcribed Image Text:9. Let A be a nonempty set. Prove that if f is a bijection on A and f o f = f. then f is the identity function, i
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