fact: Definition lift_pointed_PartialOrder_extract {X : hSet} (PX : pointed_PartialOrder X) (x : setcoprod X unitset) : X.
imports: UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions UniMath.OrderTheory.Posets.PointedPosets