proposition: Lemma flip_le_dec_recip_r x y : 0 < y -> y ≤ /x -> x ≤ /y.
proof: Proof. intros E1 E2. rewrite <-(dec_recip_involutive x). apply flip_le_dec_recip;trivial. Qed.
imports: HoTT.Classes.interfaces.abstract_algebra HoTT.Classes.interfaces.orders HoTT.Classes.theory.dec_fields HoTT.Classes.orders.rings