Let P be a finite, nonempty poset. We know (Proposition 55.3) that P must have a minimal
Chapter 55, Problem 55.8(choose chapter or problem)
Let P be a finite, nonempty poset. We know (Proposition 55.3) that P must have a minimal and a maximal element. Prove the following stronger statement. Let P be a finite, nonempty poset. Prove that P must contain a minimal element x and a maximal element y with x y.
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