summaryrefslogtreecommitdiff
path: root/contrib/ring/LegacyNArithRing.v
diff options
context:
space:
mode:
Diffstat (limited to 'contrib/ring/LegacyNArithRing.v')
-rw-r--r--contrib/ring/LegacyNArithRing.v46
1 files changed, 0 insertions, 46 deletions
diff --git a/contrib/ring/LegacyNArithRing.v b/contrib/ring/LegacyNArithRing.v
deleted file mode 100644
index c689fc40..00000000
--- a/contrib/ring/LegacyNArithRing.v
+++ /dev/null
@@ -1,46 +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: LegacyNArithRing.v 9179 2006-09-26 12:13:06Z barras $ *)
-
-(* 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.
-
-Unboxed 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 Ncompare_Eq_eq.
- destruct (n ?= m)%N; [ reflexivity | contradiction | contradiction ].
-Qed.
-
-Definition NTheory : Semi_Ring_Theory Nplus Nmult 1%N 0%N 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.
-Qed.
-
-Add Legacy Semi Ring
- N Nplus Nmult 1%N 0%N Neq NTheory [ Npos 0%N xO xI 1%positive ].