Question 7 (Optional). (3 points) Consider N with the total order < inherited from R. Let...
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Question 7 (Optional). (3 points) Consider N with the total order< inherited from R. Let be a total order on N such that for all neN: n < n + 1. Show that <=<: for all n, me N, n<m if and only if n < m. (Hint: Show that for each n the sets G₁ = {m EN | n <m} and H₁ = {m eN | n < m} are equal.) Question 7 (Optional). (3 points) Consider N with the total order< inherited from R. Let be a total order on N such that for all neN: n < n + 1. Show that <=<: for all n, me N, n<m if and only if n < m. (Hint: Show that for each n the sets G₁ = {m EN | n <m} and H₁ = {m eN | n < m} are equal.)
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Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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