In determining whether a given relation is a well ordering, it is not necessaryto verify

Chapter 3, Problem 17

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In determining whether a given relation is a well ordering, it is not necessaryto verify all the conditions for a linear order as well as the additional conditionfor a well ordering:(a) Prove that a partial order R on a set A is a well ordering everynonempty subset of A has a smallest element.(b) Prove that a relation R on a set A is a well ordering every nonemptysubset B of A contains a unique element that is R-related to every elementof B

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