Definition bottom_PartialOrder_boolset : bottom_element PartialOrder_boolset. Proof. refine (false ,, _). abstract (intro b ; induction b ; cbn ; exact tt). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.Posets.Basics. Require Import UniMath.OrderTheory.Posets.MonotoneFunctions.