proposition: Lemma meet_r x y : y ≤ x -> x ⊓ y = y.
proof: Proof. intros E. rewrite (commutativity (f:=meet)). apply meet_l. trivial. Qed.
imports: HoTT.Classes.interfaces.abstract_algebra HoTT.Classes.interfaces.orders HoTT.Classes.orders.semirings HoTT.Classes.theory.lattices