For C A, let (C, R') be a maximal chain in the poset (A,

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For ∅ ≠ C ⊆ A, let (C, R') be a maximal chain in the poset (A, R), where R' = (C × C) ⋂ R. If the elements of C are ordered as c1 R' c2 R' ... R' cn, prove that c1 is a minimal element in (A, R) and that cn is maximal in (A, R).

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 08:34 AM

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For C A, let (C, R') be a maximal chain in the poset (A,

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Discrete and Combinatorial Mathematics An Applied Introduction

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