fact: Definition prod_pointed_PartialOrder {X Y : hSet} (RX : pointed_PartialOrder X) (RY : pointed_PartialOrder Y) : pointed_PartialOrder (X × Y)%set.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions