proposition: Lemma flip_lt_dec_recip_r x y : 0 < y → y < /x → x < /y.
proof: Proof. intros E1 E2. rewrite <-(dec_recip_involutive x). now apply flip_lt_dec_recip. Qed.
imports: Coq.Relations.Relation_Definitions Coq.setoid_ring.Ring MathClasses.interfaces.abstract_algebra MathClasses.interfaces.orders MathClasses.theory.rings MathClasses.theory.dec_fields MathClasses.orders.rings