Lemma istrans_latticedec_gt_rel : istrans latticedec_gt_rel. Proof. intros x y z Hxy Hyz Hxz. simple refine (Hxy _). apply istrans_Lle with z. apply Hxz. apply latticedec_gt_ge. exact Hyz. Qed.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.Algebra.Monoids. Require Import UniMath.Algebra.Groups.