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