fact: Definition is_scott_continuous {X Y : hSet} (DX : dcpo_struct X) (DY : dcpo_struct Y) (f : X → Y) : UU := is_monotone DX DY f × (∀ (I : UU) (D : I → X) (HD : is_directed DX D) (x : X) (Hx : is_least_upperbound DX D x), is_least_upperbound DY (λ i, f(D i)) (f x)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions UniMath.OrderTheory.Posets.PointedPosets UniMath.OrderTheory.DCPOs.Core.DirectedSets UniMath.OrderTheory.DCPOs.Core.Basics UniMath.OrderTheory.DCPOs.Core.ScottTopology UniMath.OrderTheory.DCPOs.Core.IntrinsicApartness