fact: Definition subtype_binaryintersection_univ {X} (A B C : hsubtype X) : C ⊆ A ∩ B <-> C ⊆ A ∧ C ⊆ B.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.WellOrderedSets UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo