proposition: Lemma meet_le_compat_r x y z : x ≤ z -> x ⊓ y ≤ z.
proof: Proof. intros E. transitivity x. - apply meet_lb_l. - trivial. Qed.
imports: HoTT.Classes.interfaces.abstract_algebra HoTT.Classes.interfaces.orders HoTT.Classes.orders.semirings HoTT.Classes.theory.lattices