fact: Definition prod_lub {X Y : hSet} (DX : dcpo_struct X) (DY : dcpo_struct Y) (I : UU) (D : I → (X × Y)%set) (x : lub DX (λ i, pr1 (D i))) (y : lub DY (λ i, pr2 (D i))) : lub (prod_PartialOrder DX DY) D.
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.Core.ScottTopology UniMath.OrderTheory.DCPOs.Core.WayBelow UniMath.OrderTheory.DCPOs.Basis.Basis UniMath.OrderTheory.DCPOs.Basis.Continuous UniMath.OrderTheory.DCPOs.Elements.Maximal