proposition: Lemma R_INR_as_IR : forall n : nat, INR n = nring (R:=RRing) n.
proof: Proof. induction n. simpl; trivial. induction n. simpl; auto with *. simpl in *. rewrite IHn. trivial. Qed.
imports: CoRN.algebra.CSetoids CoRN.algebra.CSemiGroups CoRN.algebra.CMonoids CoRN.algebra.CGroups CoRN.tactics.CornTac CoRN.algebra.CAbGroups CoRN.algebra.CRings CoRN.algebra.CFields CoRN.algebra.COrdFields CoRN.reals.CReals Coq.Reals.RIneq Coq.Reals.Rcomplete Coq.Reals.Rlimit Coq.Reals.Rbasic_fun Coq(Lra)