Definition pr1_monotone_function {X₁ X₂ : hSet} (R₁ : PartialOrder X₁) (R₂ : PartialOrder X₂) : monotone_function (prod_PartialOrder R₁ R₂) R₁ := _ ,, dirprod_pr1_is_monotone R₁ R₂.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Posets.Basics.