fact: Definition fixpoint_for_monotone_on_dcpo_statement := forall (P : Poset) (P_dir: is_directed_complete P) (f : posetmorphism P P) (x : Postfixedpoint f), ∑ y : Fixedpoint f, pr1 x ≤ pr1 y.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.WellOrderedSets UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo