fact: Definition coproduct_dcpo_incl_lub (x : X) (D : directed_set (Y x)) : lub (coproduct_set_PartialOrder _ (λ x, Y x)) (directed_set_comp (set_in_monotone_function Y Y x) D).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.OrderTheory.Posets UniMath.OrderTheory.DCPOs.Core.DirectedSets UniMath.OrderTheory.DCPOs.Core.Basics UniMath.OrderTheory.DCPOs.Core.ScottContinuous