Lemma Lmax_le_r : ∏ x y : X, Lle lat y (Lmax lat x y). Proof. intros x y. rewrite iscomm_Lmax. apply Lmax_le_l. Qed.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.Algebra.Monoids. Require Import UniMath.Algebra.Groups.