From ca1305a0187653edcf63e46b84c65130ac78d117 Mon Sep 17 00:00:00 2001
From: Frédéric Besson
Date: Fri, 20 Dec 2013 01:22:45 +0100
Subject: micromega: removal of spurious Export; addition of Lia.v
 encapsulating lia and nia.

---
 plugins/micromega/Lia.v      | 39 +++++++++++++++++++++++++++++++++++++++
 plugins/micromega/Psatz.v    |  2 +-
 plugins/micromega/vo.itarget |  1 +
 3 files changed, 41 insertions(+), 1 deletion(-)
 create mode 100644 plugins/micromega/Lia.v

(limited to 'plugins')

diff --git a/plugins/micromega/Lia.v b/plugins/micromega/Lia.v
new file mode 100644
index 0000000000..4553f03e30
--- /dev/null
+++ b/plugins/micromega/Lia.v
@@ -0,0 +1,39 @@
+(************************************************************************)
+(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
+(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2012     *)
+(*   \VV/  **************************************************************)
+(*    //   *      This file is distributed under the terms of the       *)
+(*         *       GNU Lesser General Public License Version 2.1        *)
+(************************************************************************)
+(*                                                                      *)
+(* Micromega: A reflexive tactic using the Positivstellensatz           *)
+(*                                                                      *)
+(*  Frédéric Besson (Irisa/Inria)      2013                             *)
+(*                                                                      *)
+(************************************************************************)
+
+Require Import ZMicromega.
+Require Import ZArith.
+Require Import RingMicromega.
+Require Import VarMap.
+Require Tauto.
+Declare ML Module "micromega_plugin".
+
+Ltac lia :=
+  zify ; unfold Z.succ in * ;
+  (*cbv delta - [Z.add Z.sub Z.opp Z.mul Z.pow Z.gt Z.ge Z.le Z.lt iff not] ;*) xlia ;
+  intros __wit __varmap __ff ;
+    change (Tauto.eval_f (Zeval_formula (@find Z Z0 __varmap)) __ff) ;
+      apply (ZTautoChecker_sound __ff __wit); vm_compute ; reflexivity.
+
+Ltac nia :=
+  zify ; unfold Z.succ in * ;
+  xnlia ;
+  intros __wit __varmap __ff ;
+    change (Tauto.eval_f (Zeval_formula (@find Z Z0 __varmap)) __ff) ;
+      apply (ZTautoChecker_sound __ff __wit); vm_compute ; reflexivity.
+
+
+(* Local Variables: *)
+(* coding: utf-8 *)
+(* End: *)
diff --git a/plugins/micromega/Psatz.v b/plugins/micromega/Psatz.v
index 5090542c6a..804a16b793 100644
--- a/plugins/micromega/Psatz.v
+++ b/plugins/micromega/Psatz.v
@@ -18,7 +18,7 @@ Require Import RMicromega.
 Require Import QArith.
 Require Import ZArith.
 Require Import Rdefinitions.
-Require Export RingMicromega.
+Require Import RingMicromega.
 Require Import VarMap.
 Require Tauto.
 Declare ML Module "micromega_plugin".
diff --git a/plugins/micromega/vo.itarget b/plugins/micromega/vo.itarget
index fb75bf20c8..bf6a1a7db2 100644
--- a/plugins/micromega/vo.itarget
+++ b/plugins/micromega/vo.itarget
@@ -10,3 +10,4 @@ Tauto.vo
 VarMap.vo
 ZCoeff.vo
 ZMicromega.vo
+Lia.vo
\ No newline at end of file
-- 
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