1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
19 (*#***********************************************************************)
21 (* v * The Coq Proof Assistant / The Coq Development Team *)
23 (* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
25 (* \VV/ **************************************************************)
27 (* // * This file is distributed under the terms of the *)
29 (* * GNU Lesser General Public License Version 2.1 *)
31 (*#***********************************************************************)
33 (*i $Id: Rgeom.v,v 1.13.2.1 2004/07/16 19:31:13 herbelin Exp $ i*)
35 include "Reals/Rbase.ma".
37 include "Reals/Rfunctions.ma".
39 include "Reals/SeqSeries.ma".
41 include "Reals/Rtrigo.ma".
43 include "Reals/R_sqrt.ma".
46 Open Local Scope R_scope.
49 inline procedural "cic:/Coq/Reals/Rgeom/dist_euc.con" as definition.
51 inline procedural "cic:/Coq/Reals/Rgeom/distance_refl.con" as lemma.
53 inline procedural "cic:/Coq/Reals/Rgeom/distance_symm.con" as lemma.
55 inline procedural "cic:/Coq/Reals/Rgeom/law_cosines.con" as lemma.
57 inline procedural "cic:/Coq/Reals/Rgeom/triangle.con" as lemma.
59 (*#*****************************************************************)
63 (*#*****************************************************************)
65 inline procedural "cic:/Coq/Reals/Rgeom/xt.con" as definition.
67 inline procedural "cic:/Coq/Reals/Rgeom/yt.con" as definition.
69 inline procedural "cic:/Coq/Reals/Rgeom/translation_0.con" as lemma.
71 inline procedural "cic:/Coq/Reals/Rgeom/isometric_translation.con" as lemma.
73 (*#*****************************************************************)
77 (*#*****************************************************************)
79 inline procedural "cic:/Coq/Reals/Rgeom/xr.con" as definition.
81 inline procedural "cic:/Coq/Reals/Rgeom/yr.con" as definition.
83 inline procedural "cic:/Coq/Reals/Rgeom/rotation_0.con" as lemma.
85 inline procedural "cic:/Coq/Reals/Rgeom/rotation_PI2.con" as lemma.
87 inline procedural "cic:/Coq/Reals/Rgeom/isometric_rotation_0.con" as lemma.
89 inline procedural "cic:/Coq/Reals/Rgeom/isometric_rotation.con" as lemma.
91 (*#*****************************************************************)
95 (*#*****************************************************************)
97 inline procedural "cic:/Coq/Reals/Rgeom/isometric_rot_trans.con" as lemma.
99 inline procedural "cic:/Coq/Reals/Rgeom/isometric_trans_rot.con" as lemma.