proposition: Proposition is_least_upperbound_basis (B : dcpo_basis) (x : X) : is_least_upperbound X (basis_below_map B x) x.
proof: Proof. exact (pr2 (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