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.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.OrderedSets.WellOrderedSets. Require Import UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo. Require Import UniMath.OrderTheory.Posets.Subposets.