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(*         *      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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(* Tactic nsatz: proofs of polynomials equalities in an integral domain (commutative ring without zero divisor).  Examples: see test-suite/success/Nsatz.v  Reification is done using type classes, defined in Ncring_tac.v  *)
Require Export Morphisms Setoid Bool.
Require Export Algebra_syntax.
Require Export Ncring.
Require Export Ncring_initial.
Require Export Ncring_tac.
Require Export Integral_domain.
Require Export NsatzTactic.
(** Make use of [discrR] in [nsatz] *)
Ltac nsatz_internal_discrR ::= discrR.
(* Real numbers *)
Require Export Rbase.
Require Export Rfunctions.

Lemma Rsth : Setoid_Theory R (@eq R).
constructor;red;intros;subst;trivial.