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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: Rgeom.v,v 1.13.2.1 2004/07/16 19:31:13 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/R_sqrt.ma".
44
45 (* UNEXPORTED
46 Open Local Scope R_scope.
47 *)
48
49 inline procedural "cic:/Coq/Reals/Rgeom/dist_euc.con" as definition.
50
51 inline procedural "cic:/Coq/Reals/Rgeom/distance_refl.con" as lemma.
52
53 inline procedural "cic:/Coq/Reals/Rgeom/distance_symm.con" as lemma.
54
55 inline procedural "cic:/Coq/Reals/Rgeom/law_cosines.con" as lemma.
56
57 inline procedural "cic:/Coq/Reals/Rgeom/triangle.con" as lemma.
58
59 (*#*****************************************************************)
60
61 (*#*                         Translation                           *)
62
63 (*#*****************************************************************)
64
65 inline procedural "cic:/Coq/Reals/Rgeom/xt.con" as definition.
66
67 inline procedural "cic:/Coq/Reals/Rgeom/yt.con" as definition.
68
69 inline procedural "cic:/Coq/Reals/Rgeom/translation_0.con" as lemma.
70
71 inline procedural "cic:/Coq/Reals/Rgeom/isometric_translation.con" as lemma.
72
73 (*#*****************************************************************)
74
75 (*#*                           Rotation                            *)
76
77 (*#*****************************************************************)
78
79 inline procedural "cic:/Coq/Reals/Rgeom/xr.con" as definition.
80
81 inline procedural "cic:/Coq/Reals/Rgeom/yr.con" as definition.
82
83 inline procedural "cic:/Coq/Reals/Rgeom/rotation_0.con" as lemma.
84
85 inline procedural "cic:/Coq/Reals/Rgeom/rotation_PI2.con" as lemma.
86
87 inline procedural "cic:/Coq/Reals/Rgeom/isometric_rotation_0.con" as lemma.
88
89 inline procedural "cic:/Coq/Reals/Rgeom/isometric_rotation.con" as lemma.
90
91 (*#*****************************************************************)
92
93 (*#*                         Similarity                            *)
94
95 (*#*****************************************************************)
96
97 inline procedural "cic:/Coq/Reals/Rgeom/isometric_rot_trans.con" as lemma.
98
99 inline procedural "cic:/Coq/Reals/Rgeom/isometric_trans_rot.con" as lemma.
100