fact: Definition scott_continuous_lub : lub (scott_continuous_map_PartialOrder X Y) D := scott_continuous_lub_map ,, scott_continuous_lub_map_is_least_upperbound.
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.ScottContinuous UniMath.OrderTheory.DCPOs.Core.FubiniTheorem UniMath.OrderTheory.DCPOs.Core.CoordinateContinuity UniMath.OrderTheory.DCPOs.Examples.BinaryProducts