fact: Definition dcpo_basis_laws (B : dcpo_basis_data) : UU := ∏ (x : X), is_directed X (basis_below_map B x) × is_least_upperbound X (basis_below_map B x) x.
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