fact: Definition is_chain_complete (P : Poset) : UU := ∏ C : Chain_hsubtype P, least_upper_bound_subtype C.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.WellOrderedSets UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo