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* For a set ''X'' and a partially ordered set ''P'', the [[function space]] containing all functions from ''X'' to ''P'', where ''f'' ≤ ''g'' if and only if ''f''(''x'') ≤ ''g''(''x'') for all ''x'' in ''X''.
* The vertex set of a [[directed acyclic graph]] ordered by [[reachability]].
* The set of [[natural numbers]] equipped with the relation of [[divisibility]].
=== Extrema ===
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