fact: Definition coproduct_set_dcpo_lub (D : directed_set (coproduct_set_PartialOrder _ (λ x, Y x))) : lub (coproduct_set_PartialOrder _ (λ x, 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