proposition: Lemma meet_l x y : x ≤ y -> x ⊓ y = x.
proof: Proof. intros E. apply (antisymmetry (≤)). - apply meet_lb_l. - apply meet_glb; trivial. apply reflexivity. Qed.
imports: HoTT.Classes.interfaces.abstract_algebra HoTT.Classes.interfaces.orders HoTT.Classes.orders.semirings HoTT.Classes.theory.lattices