From 3ef7797ef6fc605dfafb32523261fe1b023aeecb Mon Sep 17 00:00:00 2001
From: Samuel Mimram <smimram@debian.org>
Date: Fri, 28 Apr 2006 14:59:16 +0000
Subject: Imported Upstream version 8.0pl3+8.1alpha

---
 contrib7/ring/NArithRing.v | 44 --------------------------------------------
 1 file changed, 44 deletions(-)
 delete mode 100644 contrib7/ring/NArithRing.v

(limited to 'contrib7/ring/NArithRing.v')

diff --git a/contrib7/ring/NArithRing.v b/contrib7/ring/NArithRing.v
deleted file mode 100644
index f4548bbb..00000000
--- a/contrib7/ring/NArithRing.v
+++ /dev/null
@@ -1,44 +0,0 @@
-(************************************************************************)
-(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
-(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
-(*   \VV/  **************************************************************)
-(*    //   *      This file is distributed under the terms of the       *)
-(*         *       GNU Lesser General Public License Version 2.1        *)
-(************************************************************************)
-
-(* $Id: NArithRing.v,v 1.1.2.1 2004/07/16 19:30:18 herbelin Exp $ *)
-
-(* Instantiation of the Ring tactic for the binary natural numbers *)
-
-Require Export Ring.
-Require Export ZArith_base.
-Require NArith.
-Require Eqdep_dec.
-
-Definition Neq := [n,m:entier]
-  Cases (Ncompare n m) of
-    EGAL => true
-  | _ => false
-  end.
-
-Lemma Neq_prop : (n,m:entier)(Is_true (Neq n m)) -> n=m.
-  Intros n m H; Unfold Neq in H.
-  Apply Ncompare_Eq_eq.
-  NewDestruct (Ncompare n m); [Reflexivity | Contradiction | Contradiction ].
-Save.
-
-Definition NTheory : (Semi_Ring_Theory Nplus Nmult (Pos xH) Nul Neq).
-  Split.
-    Apply Nplus_comm.
-    Apply Nplus_assoc.
-    Apply Nmult_comm.
-    Apply Nmult_assoc.
-    Apply Nplus_0_l.
-    Apply Nmult_1_l.
-    Apply Nmult_0_l.
-    Apply Nmult_plus_distr_r.
-    Apply Nplus_reg_l.
-    Apply Neq_prop.
-Save.
-
-Add Semi Ring entier Nplus Nmult (Pos xH) Nul Neq NTheory [Pos Nul xO xI xH].
-- 
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