proposition: Proposition Equalizer_pr1_strict_and_monotone : is_strict_and_monotone Equalizer_pointed_PartialOrder RX (λ z, pr1 z).
proof: Proof. split. - apply Equalizer_pr1_monotone. - apply idpath. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions