proposition: Proposition is_directed_basis (B : dcpo_basis) (x : X) : is_directed X (basis_below_map B x).
proof: Proof. exact (pr1 (pr2 B x)). Qed.
imports: UniMath.MoreFoundations.All UniMath.OrderTheory.Posets UniMath.OrderTheory.DCPOs.Core.DirectedSets UniMath.OrderTheory.DCPOs.Core.Basics UniMath.OrderTheory.DCPOs.Core.ScottContinuous UniMath.OrderTheory.DCPOs.Core.WayBelow UniMath.OrderTheory.DCPOs.Basis.Continuous