proposition: Lemma CReals_is_CReals : is_CReals R1 (Lim (IR:=R1)).
proof: Proof. unfold Lim in |- *. elim R1; intros. exact crl_proof. Qed.
imports: CoRN.model.reals.Cauchy_IR CoRN.model.monoids.Nmonoid CoRN.model.rings.Zring CoRN.algebra.CRing_Homomorphisms CoRN.algebra.Expon Coq.QArith.Qpower CoRN.tactics.CornTac