fact: Definition nat_directed_set {X : hSet} (PX : PartialOrder X) (D : ℕ → X) (HD : ∏ (i : ℕ), PX (D i) (D (S i))) : directed_set PX.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions