fact: Definition is_strict_and_monotone {X Y : hSet} (RX : pointed_PartialOrder X) (RY : pointed_PartialOrder Y) (f : X → Y) : UU := is_monotone RX RY f × f ⊥_{RX} = ⊥_{RY}.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.OrderTheory.Posets.Basics UniMath.OrderTheory.Posets.MonotoneFunctions