proposition: Proposition is_strict_scott_continuous_equalizer_pr1 : is_strict_scott_continuous equalizer_dcppo_struct X pr1.
proof: Proof. simple refine (_ ,, _). - exact (is_scott_continuous_equalizer_pr1 f g). - apply idpath. Qed.
imports: UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.PointedPosets UniMath.OrderTheory.Posets.MonotoneFunctions UniMath.OrderTheory.DCPOs.Core.DirectedSets UniMath.OrderTheory.DCPOs.Core.Basics UniMath.OrderTheory.DCPOs.Core.ScottContinuous