fact: Definition compact_basis_le_element (B : dcpo_basis_data X) (x : X) : UU := ∑ (b : B), B b ⊑ 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 UniMath.OrderTheory.DCPOs.Basis.Algebraic UniMath.OrderTheory.DCPOs.Basis.Basis