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Let S be a nonempty subset of R that is bounded below. Prove that inf S= -sup{-s:s∊S}

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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Let S be a nonempty subset of R that is bounded below. Prove that inf S= -sup{-s:s∊S}

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