Imported Upstream version 8.5~beta1+dfsg

1 files changed, 44 insertions, 0 deletions

diff --git a/plugins/micromega/Lia.v b/plugins/micromega/Lia.v
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+(************************************************************************)
+(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
+(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2015     *)
+(*   \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 preprocess :=
+  zify ; unfold Z.succ in * ; unfold Z.pred in *.
+
+Ltac lia :=
+  preprocess;
+  xlia ;
+  abstract (
+      intros __wit __varmap __ff ;
+      change (Tauto.eval_f (Zeval_formula (@find Z Z0 __varmap)) __ff) ;
+      apply (ZTautoChecker_sound __ff __wit); vm_cast_no_check (eq_refl true)).
+
+Ltac nia :=
+  preprocess;
+  xnlia ;
+  abstract (
+      intros __wit __varmap __ff ;
+      change (Tauto.eval_f (Zeval_formula (@find Z Z0 __varmap)) __ff) ;
+      apply (ZTautoChecker_sound __ff __wit); vm_cast_no_check (eq_refl true)).
+
+
+(* Local Variables: *)
+(* coding: utf-8 *)
+(* End: *)