proposition: Lemma neg_dec_recip_compat x : x < 0 → /x < 0.
proof: Proof. intros. apply flip_neg_negate. rewrite dec_recip_negate. apply pos_dec_recip_compat. now apply flip_neg_negate. 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