Well-ordering

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A well-ordering is a special kind of ordering

Definition

An ordering [math]<[/math] of a set [ilmath]P[/ilmath] which is both:

  • Linear (total)
  • strict

Is a well-ordering if every [ilmath]A\subset P[/ilmath] with [ilmath]A\ne\emptyset[/ilmath] has a least element.


TODO: Finish off