fact: Definition directed_set_coproduct : (∑ (D' : directed_set X), is_least_upperbound (coproduct_PartialOrder X Y) D (inl (⨆ D'))) ∨ (∑ (D' : directed_set Y), is_least_upperbound (coproduct_PartialOrder X Y) D (inr (⨆ 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