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

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

diff --git a/helm/software/matita/contribs/procedural/Coq/Reals/NewtonInt.mma b/helm/software/matita/contribs/procedural/Coq/Reals/NewtonInt.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: NewtonInt.v,v 1.11 2003/12/24 10:27:06 barras Exp $ i*)
+
+include "Reals/Rbase.ma".
+
+include "Reals/Rfunctions.ma".
+
+include "Reals/SeqSeries.ma".
+
+include "Reals/Rtrigo.ma".
+
+include "Reals/Ranalysis.ma".
+
+(* UNEXPORTED
+Open Local Scope R_scope.
+*)
+
+(*#******************************************)
+
+(*            Newton's Integral            *)
+
+(*#******************************************)
+
+inline procedural "cic:/Coq/Reals/NewtonInt/Newton_integrable.con" as definition.
+
+inline procedural "cic:/Coq/Reals/NewtonInt/NewtonInt.con" as definition.
+
+(* If f is differentiable, then f' is Newton integrable (Tautology ?) *)
+
+inline procedural "cic:/Coq/Reals/NewtonInt/FTCN_step1.con" as lemma.
+
+(* By definition, we have the Fondamental Theorem of Calculus *)
+
+inline procedural "cic:/Coq/Reals/NewtonInt/FTC_Newton.con" as lemma.
+
+(* $\int_a^a f$ exists forall a:R and f:R->R *)
+
+inline procedural "cic:/Coq/Reals/NewtonInt/NewtonInt_P1.con" as lemma.
+
+(* $\int_a^a f = 0$ *)
+
+inline procedural "cic:/Coq/Reals/NewtonInt/NewtonInt_P2.con" as lemma.
+
+(* If $\int_a^b f$ exists, then $\int_b^a f$ exists too *)
+
+inline procedural "cic:/Coq/Reals/NewtonInt/NewtonInt_P3.con" as lemma.
+
+(* $\int_a^b f = -\int_b^a f$ *)
+
+inline procedural "cic:/Coq/Reals/NewtonInt/NewtonInt_P4.con" as lemma.
+
+(* The set of Newton integrable functions is a vectorial space *)
+
+inline procedural "cic:/Coq/Reals/NewtonInt/NewtonInt_P5.con" as lemma.
+
+(*#*********)
+
+inline procedural "cic:/Coq/Reals/NewtonInt/antiderivative_P1.con" as lemma.
+
+(* $\int_a^b \lambda f + g = \lambda \int_a^b f + \int_a^b f *)
+
+inline procedural "cic:/Coq/Reals/NewtonInt/NewtonInt_P6.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/NewtonInt/antiderivative_P2.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/NewtonInt/antiderivative_P3.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/NewtonInt/antiderivative_P4.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/NewtonInt/NewtonInt_P7.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/NewtonInt/NewtonInt_P8.con" as lemma.
+
+(* Chasles' relation *)
+
+inline procedural "cic:/Coq/Reals/NewtonInt/NewtonInt_P9.con" as lemma.
+