proposition: Lemma meet_le_compat_r x y z : x ≤ z → x ⊓ y ≤ z.
proof: Proof. intros E. transitivity x. apply meet_lb_l. easy. Qed.
imports: MathClasses.interfaces.abstract_algebra MathClasses.interfaces.orders MathClasses.orders.maps MathClasses.theory.lattices