   Chapter 8.5, Problem 40ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Prove that a nonempty, finite, partially ordered set has At least one minimal element. At least one maximal element.

To determine

(a)

To prove that a nonempty finite partially ordered set has at least one minimal element,

Explanation

Given information:

The given nonempty finite partially ordered set.

Calculation:

Let A be the finite partially ordered set and also assume that it has no minimal element.

If there is no minimal element this means there is no element a in A such that, for all b in A either a≤<

To determine

(b)

To prove that a nonempty finite partially ordered set has at least one maximal element,

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