Lemma Lmax_le_eq_l : ∏ x y : X, Lle lat y x → Lmax lat x y = x. Proof. intros x y <-. rewrite iscomm_Lmin. apply Lmax_absorb. Qed.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.Algebra.Monoids. Require Import UniMath.Algebra.Groups.