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A poset or partially ordered set is a tuple consisting of a set, [ilmath]X[/ilmath] and a partial ordering, [ilmath]\preceq[/ilmath], on [ilmath]X[/ilmath], then:

  • [ilmath](X,\preceq)[/ilmath] is a poset


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I know Introduction to Category Theory has the definition, Analysis (Maurin) might too!