Imported Upstream version 8.5~beta1+dfsg

1 files changed, 0 insertions, 43 deletions

diff --git a/plugins/ring/LegacyNArithRing.v b/plugins/ring/LegacyNArithRing.v
deleted file mode 100644
index b358251a..00000000
--- a/plugins/ring/LegacyNArithRing.v
+++ /dev/null
@@ -1,43 +0,0 @@
-(************************************************************************)
-(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
-(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2014     *)
-(*   \VV/  **************************************************************)
-(*    //   *      This file is distributed under the terms of the       *)
-(*         *       GNU Lesser General Public License Version 2.1        *)
-(************************************************************************)
-
-(* Instantiation of the Ring tactic for the binary natural numbers *)
-
-Require Import Bool.
-Require Export LegacyRing.
-Require Export ZArith_base.
-Require Import NArith.
-Require Import Eqdep_dec.
-
-Definition Neq (n m:N) :=
-  match (n ?= m)%N with
-  | Datatypes.Eq => true
-  | _ => false
-  end.
-
-Lemma Neq_prop : forall n m:N, Is_true (Neq n m) -> n = m.
-  intros n m H; unfold Neq in H.
-  apply N.compare_eq.
-  destruct (n ?= m)%N; [ reflexivity | contradiction | contradiction ].
-Qed.
-
-Definition NTheory : Semi_Ring_Theory N.add N.mul 1%N 0%N Neq.
-  split.
-    apply N.add_comm.
-    apply N.add_assoc.
-    apply N.mul_comm.
-    apply N.mul_assoc.
-    apply N.add_0_l.
-    apply N.mul_1_l.
-    apply N.mul_0_l.
-    apply N.mul_add_distr_r.
-    apply Neq_prop.
-Qed.
-
-Add Legacy Semi Ring
-  N N.add N.mul 1%N 0%N Neq NTheory [ Npos 0%N xO xI 1%positive ].