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[helm.git] / helm / software / matita / contribs / procedural / Coq / Reals / Rtrigo_alt.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___,, *        INRIA-Rocquencourt  &  LRI-CNRS-Orsay              *)
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: Rtrigo_alt.v,v 1.16 2003/12/24 10:27:08 barras 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_def.ma".
42
43 (* UNEXPORTED
44 Open Local Scope R_scope.
45 *)
46
47 (*#****************************************************************)
48
49 (* Using series definitions of cos and sin                       *)
50
51 (*#****************************************************************)
52
53 inline procedural "cic:/Coq/Reals/Rtrigo_alt/sin_term.con" as definition.
54
55 inline procedural "cic:/Coq/Reals/Rtrigo_alt/cos_term.con" as definition.
56
57 inline procedural "cic:/Coq/Reals/Rtrigo_alt/sin_approx.con" as definition.
58
59 inline procedural "cic:/Coq/Reals/Rtrigo_alt/cos_approx.con" as definition.
60
61 (*#*********)
62
63 inline procedural "cic:/Coq/Reals/Rtrigo_alt/PI_4.con" as lemma.
64
65 (*#*********)
66
67 inline procedural "cic:/Coq/Reals/Rtrigo_alt/sin_bound.con" as theorem.
68
69 (*#*********)
70
71 inline procedural "cic:/Coq/Reals/Rtrigo_alt/cos_bound.con" as lemma.
72