uppose (X,≺) is a well-ordering. Then (X,≺) is not isomorphic to (pred(X,≺,x),≺) for any x ∈ X.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 18E: In Exercises , prove the statements concerning the relation on the set of all integers. 18. If ...
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Suppose (X,≺) is a well-ordering. Then (X,≺) is not isomorphic to (pred(X,≺,x),≺) for any x ∈ X.

 

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