fact: Definition app_directed_set_depfun (E : directed_set (depfunction_poset (λ i, D i) (λ i, D i))) (i : I) : directed_set (D i).
imports: UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.PointedPosets UniMath.OrderTheory.Posets.MonotoneFunctions UniMath.OrderTheory.DCPOs.Core.DirectedSets UniMath.OrderTheory.DCPOs.Core.Basics UniMath.OrderTheory.DCPOs.Core.ScottContinuous UniMath.OrderTheory.DCPOs.Examples.Propositions UniMath.OrderTheory.DCPOs.Examples.SubDCPO