fact: Definition image_is_chain {P:Poset} {I:UU} (p : I -> P) : is_chain p -> is_chain (pr1carrier (image p)).
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.WellOrderedSets UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo