--- /dev/null
+(**************************************************************************)
+(* ___ *)
+(* ||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: Rbasic_fun.v,v 1.22 2003/11/29 17:28:37 herbelin Exp $ i*)
+
+(*#********************************************************)
+
+(*#* Complements for the real numbers *)
+
+(* *)
+
+(*#********************************************************)
+
+include "Reals/Rbase.ma".
+
+include "Reals/R_Ifp.ma".
+
+(* UNEXPORTED
+Open Local Scope R_scope.
+*)
+
+(* UNEXPORTED
+Implicit Type r : R.
+*)
+
+(*#******************************)
+
+(*#* Rmin *)
+
+(*#******************************)
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rmin.con" as definition.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rmin_Rgt_l.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rmin_Rgt_r.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rmin_Rgt.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rmin_l.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rmin_r.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rmin_comm.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rmin_stable_in_posreal.con" as lemma.
+
+(*#******************************)
+
+(*#* Rmax *)
+
+(*#******************************)
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rmax.con" as definition.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rmax_Rle.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/RmaxLess1.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/RmaxLess2.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/RmaxSym.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/RmaxRmult.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rmax_stable_in_negreal.con" as lemma.
+
+(*#******************************)
+
+(*#* Rabsolu *)
+
+(*#******************************)
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rcase_abs.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs.con" as definition.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_R0.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_R1.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_no_R0.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_left.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_right.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_left1.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_pos.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/RRle_abs.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_pos_eq.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_Rabsolu.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_pos_lt.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_minus_sym.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_mult.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_Rinv.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_Ropp.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_triang.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_triang_inv.con" as lemma.
+
+(* ||a|-|b||<=|a-b| *)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_triang_inv2.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_def1.con" as lemma.
+
+(*#********)
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_def2.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/RmaxAbs.con" as lemma.
+
+inline procedural "cic:/Coq/Reals/Rbasic_fun/Rabs_Zabs.con" as lemma.
+