Lemma Lmax_id : ∏ x : X, Lmax lat x x = x. Proof. intros x. intermediate_path (Lmax lat x (Lmin lat x (Lmax lat x x))). - apply maponpaths, pathsinv0, Lmin_absorb. - apply Lmax_absorb. Qed.
Require Import UniMath.MoreFoundations.All. Require Import UniMath.Algebra.Monoids. Require Import UniMath.Algebra.Groups.