Proposition is_strict_scott_continuous_depfunction_pr {I : UU} (D : I → dcppo) (i : I) : is_strict_scott_continuous (depfunction_dcppo_struct D) (D i) (λ f, f i). Proof. simple refine (_ ,, _). - exact (is_scott_continuous_depfunction_pr D i). - apply idpath. Qed.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Posets.Basics. Require Import UniMath.OrderTheory.Posets.PointedPosets. Require Import UniMath.OrderTheory.Posets.MonotoneFunctions. Require Import UniMath.OrderTheory.DCPOs.Core.DirectedSets. Require Import UniMath.OrderTheory.DCPOs.Core.Basics. Require Import UniMath.OrderTheory.DCPOs.Core.ScottContinuous. Require Import UniMath.OrderTheory.DCPOs.Examples.Propositions. Require Import UniMath.OrderTheory.DCPOs.Examples.SubDCPO.