transcript: we improved the parser/lexer to read the scripts of the standard

[helm.git] / helm / software / matita / contribs / procedural / Coq / Reals / DiscrR.mma

diff --git a/helm/software/matita/contribs/procedural/Coq/Reals/DiscrR.mma b/helm/software/matita/contribs/procedural/Coq/Reals/DiscrR.mma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* This file was automatically generated: do not edit *********************)
+
+include "Coq.ma".
+
+(*#**********************************************************************)
+
+(*  v      *   The Coq Proof Assistant  /  The Coq Development Team    *)
+
+(* <O___,, *        INRIA-Rocquencourt  &  LRI-CNRS-Orsay              *)
+
+(*   \VV/  *************************************************************)
+
+(*    //   *      This file is distributed under the terms of the      *)
+
+(*         *       GNU Lesser General Public License Version 2.1       *)
+
+(*#**********************************************************************)
+
+(*i        $Id: DiscrR.v,v 1.21 2003/11/29 17:28:35 herbelin Exp $       i*)
+
+include "Reals/RIneq.ma".
+
+(* UNEXPORTED
+Open Local Scope R_scope.
+*)
+
+inline procedural "cic:/Coq/Reals/DiscrR/Rlt_R0_R2.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/DiscrR/Rplus_lt_pos.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/DiscrR/IZR_eq.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/DiscrR/IZR_neq.con" as lemma.
+
+(* UNEXPORTED
+Ltac discrR :=
+  try
+   match goal with
+   |  |- (?X1 <> ?X2) =>
+       replace 2 with (IZR 2);
+        [ replace 1 with (IZR 1);
+           [ replace 0 with (IZR 0);
+              [ repeat
+                 rewrite <- plus_IZR ||
+                   rewrite <- mult_IZR ||
+                     rewrite <- Ropp_Ropp_IZR || rewrite Z_R_minus;
+                 apply IZR_neq; try discriminate
+              | reflexivity ]
+           | reflexivity ]
+        | reflexivity ]
+   end.
+*)
+
+(* UNEXPORTED
+Ltac prove_sup0 :=
+  match goal with
+  |  |- (0 < 1) => apply Rlt_0_1
+  |  |- (0 < ?X1) =>
+      repeat
+       (apply Rmult_lt_0_compat || apply Rplus_lt_pos;
+         try apply Rlt_0_1 || apply Rlt_R0_R2)
+  |  |- (?X1 > 0) => change (0 < X1) in |- *; prove_sup0
+  end.
+*)
+
+(* UNEXPORTED
+Ltac omega_sup :=
+  replace 2 with (IZR 2);
+   [ replace 1 with (IZR 1);
+      [ replace 0 with (IZR 0);
+         [ repeat
+            rewrite <- plus_IZR ||
+              rewrite <- mult_IZR ||
+                rewrite <- Ropp_Ropp_IZR || rewrite Z_R_minus; 
+            apply IZR_lt; omega
+         | reflexivity ]
+      | reflexivity ]
+   | reflexivity ].
+*)
+
+(* UNEXPORTED
+Ltac prove_sup :=
+  match goal with
+  |  |- (?X1 > ?X2) => change (X2 < X1) in |- *; prove_sup
+  |  |- (0 < ?X1) => prove_sup0
+  |  |- (- ?X1 < 0) => rewrite <- Ropp_0; prove_sup
+  |  |- (- ?X1 < - ?X2) => apply Ropp_lt_gt_contravar; prove_sup
+  |  |- (- ?X1 < ?X2) => apply Rlt_trans with 0; prove_sup
+  |  |- (?X1 < ?X2) => omega_sup
+  | _ => idtac
+  end.
+*)
+
+(* UNEXPORTED
+Ltac Rcompute :=
+  replace 2 with (IZR 2);
+   [ replace 1 with (IZR 1);
+      [ replace 0 with (IZR 0);
+         [ repeat
+            rewrite <- plus_IZR ||
+              rewrite <- mult_IZR ||
+                rewrite <- Ropp_Ropp_IZR || rewrite Z_R_minus; 
+            apply IZR_eq; try reflexivity
+         | reflexivity ]
+      | reflexivity ]
+   | reflexivity ].
+*)
+