(************************************************************************)
(*         *      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)         *)
(************************************************************************)
Require Export Ncring.
Require Export Ncring_polynom.
Set Implicit Arguments.
(* An object to return when an expression is not recognized as a constant *)
Definition NotConstant := false.
(** Z is a ring and a setoid*)

Lemma gen_phiZ1_add_pos_neg : forall x y,
gen_phiZ1 (Z.pos_sub x y)
== gen_phiPOS1 x + -gen_phiPOS1 y.