(************************************************************************)
(*         *      The Rocq Prover / The Rocq Development Team           *)
(*  v      *         Copyright INRIA, CNRS and contributors             *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(*   \VV/  **************************************************************)
(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
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Require Export Ring.
Set Implicit Arguments.

(* Specifications: *)
Lemma natSRth : semi_ring_theory O (S O) plus mult (@eq nat).
Lemma nat_morph_N :
semi_morph 0 1 plus mult (eq (A:=nat))
0%N 1%N N.add N.mul N.eqb N.to_nat.