fact: Definition islowerbound {I} (p : I -> P) (x : P) : hProp := ∀ i : I, x ≤ p i.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.WellOrderedSets UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo