proposition: Lemma flip_lt_dec_recip_l x y : 0 < y → /y < x → /x < y.
proof: Proof. intros E1 E2. rewrite <-(dec_recip_involutive y). apply flip_lt_dec_recip; trivial. now apply pos_dec_recip_compat. 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