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Diffstat (limited to 'plugins/micromega/Lia.v')
| -rw-r--r-- | plugins/micromega/Lia.v | 44 |
1 files changed, 44 insertions, 0 deletions
diff --git a/plugins/micromega/Lia.v b/plugins/micromega/Lia.v new file mode 100644 index 00000000..72425585 --- /dev/null +++ b/plugins/micromega/Lia.v @@ -0,0 +1,44 @@ +(************************************************************************) +(* 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: *) |