proposition: Lemma meet_lt_r_r x y z : y < z -> x ⊓ y < z.
proof: Proof. intros ltyz. refine (le_lt_trans _ y _ _ _); try assumption. apply meet_lb_r. Qed.
imports: HoTT.Classes.interfaces.abstract_algebra HoTT.Classes.interfaces.orders HoTT.Classes.orders.semirings HoTT.Classes.theory.lattices