proposition: Proposition is_progressive_comp {X : dcpo} {f g : monotone_function X X} (Hf : is_progressive f) (Hg : is_progressive g) : is_progressive (comp_monotone_function f g).
proof: Proof. intros x ; cbn. exact (trans_dcpo (Hf x) (Hg (f x))). Qed.
imports: UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions UniMath.OrderTheory.DCPOs.Core.DirectedSets UniMath.OrderTheory.DCPOs.Core.Basics UniMath.OrderTheory.DCPOs.Examples.Products UniMath.OrderTheory.DCPOs.Examples.SubDCPO