helm/software/matita/contribs/procedural/Coq/Reals/Ranalysis4.mma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "Coq.ma".
  18
  19 (*#***********************************************************************)
  20
  21 (*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
  22
  23 (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
  24
  25 (*   \VV/  **************************************************************)
  26
  27 (*    //   *      This file is distributed under the terms of the       *)
  28
  29 (*         *       GNU Lesser General Public License Version 2.1        *)
  30
  31 (*#***********************************************************************)
  32
  33 (*i $Id: Ranalysis4.v,v 1.19.2.1 2004/07/16 19:31:12 herbelin Exp $ i*)
  34
  35 include "Reals/Rbase.ma".
  36
  37 include "Reals/Rfunctions.ma".
  38
  39 include "Reals/SeqSeries.ma".
  40
  41 include "Reals/Rtrigo.ma".
  42
  43 include "Reals/Ranalysis1.ma".
  44
  45 include "Reals/Ranalysis3.ma".
  46
  47 include "Reals/Exp_prop.ma".
  48
  49 (* UNEXPORTED
  50 Open Local Scope R_scope.
  51 *)
  52
  53 (*#*********)
  54
  55 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_inv.con" as lemma.
  56
  57 (*#*********)
  58
  59 inline procedural "cic:/Coq/Reals/Ranalysis4/pr_nu_var.con" as lemma.
  60
  61 (*#*********)
  62
  63 inline procedural "cic:/Coq/Reals/Ranalysis4/pr_nu_var2.con" as lemma.
  64
  65 (*#*********)
  66
  67 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_inv.con" as lemma.
  68
  69 inline procedural "cic:/Coq/Reals/Ranalysis4/derive_pt_inv.con" as lemma.
  70
  71 (* Rabsolu *)
  72
  73 inline procedural "cic:/Coq/Reals/Ranalysis4/Rabs_derive_1.con" as lemma.
  74
  75 inline procedural "cic:/Coq/Reals/Ranalysis4/Rabs_derive_2.con" as lemma.
  76
  77 (* Rabsolu is derivable for all x <> 0 *)
  78
  79 inline procedural "cic:/Coq/Reals/Ranalysis4/Rderivable_pt_abs.con" as lemma.
  80
  81 (* Rabsolu is continuous for all x *)
  82
  83 inline procedural "cic:/Coq/Reals/Ranalysis4/Rcontinuity_abs.con" as lemma.
  84
  85 (* Finite sums : Sum a_k x^k *)
  86
  87 inline procedural "cic:/Coq/Reals/Ranalysis4/continuity_finite_sum.con" as lemma.
  88
  89 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_lim_fs.con" as lemma.
  90
  91 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_lim_finite_sum.con" as lemma.
  92
  93 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_finite_sum.con" as lemma.
  94
  95 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_finite_sum.con" as lemma.
  96
  97 (* Regularity of hyperbolic functions *)
  98
  99 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_lim_cosh.con" as lemma.
 100
 101 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_lim_sinh.con" as lemma.
 102
 103 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_exp.con" as lemma.
 104
 105 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_cosh.con" as lemma.
 106
 107 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_sinh.con" as lemma.
 108
 109 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_exp.con" as lemma.
 110
 111 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_cosh.con" as lemma.
 112
 113 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_sinh.con" as lemma.
 114
 115 inline procedural "cic:/Coq/Reals/Ranalysis4/derive_pt_exp.con" as lemma.
 116
 117 inline procedural "cic:/Coq/Reals/Ranalysis4/derive_pt_cosh.con" as lemma.
 118
 119 inline procedural "cic:/Coq/Reals/Ranalysis4/derive_pt_sinh.con" as lemma.
 120