proposition: Proposition is_strict_scott_continuous_on_bot {X Y : hSet} {DX : dcppo_struct X} {DY : dcppo_struct Y} {f : X → Y} (Hf : is_strict_scott_continuous DX DY f) : f (pointed_PartialOrder_to_point DX) = pointed_PartialOrder_to_point DY.
proof: Proof. exact (pr2 Hf). Qed.
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