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: Rseries.v,v 1.11.2.1 2004/07/16 19:31:13 herbelin Exp $ i*)
35 include "Reals/Rbase.ma".
37 include "Reals/Rfunctions.ma".
39 include "Logic/Classical.ma".
41 include "Arith/Compare.ma".
44 Open Local Scope R_scope.
51 (* classical is needed for [Un_cv_crit] *)
53 (*#********************************************************)
55 (* Definition of sequence and properties *)
59 (*#********************************************************)
68 cic:/Coq/Reals/Rseries/sequence/Un.var
73 inline procedural "cic:/Coq/Reals/Rseries/Rmax_N.con" as definition.
77 inline procedural "cic:/Coq/Reals/Rseries/EUn.con" as definition.
81 inline procedural "cic:/Coq/Reals/Rseries/Un_cv.con" as definition.
85 inline procedural "cic:/Coq/Reals/Rseries/Cauchy_crit.con" as definition.
89 inline procedural "cic:/Coq/Reals/Rseries/Un_growing.con" as definition.
93 inline procedural "cic:/Coq/Reals/Rseries/EUn_noempty.con" as lemma.
97 inline procedural "cic:/Coq/Reals/Rseries/Un_in_EUn.con" as lemma.
101 inline procedural "cic:/Coq/Reals/Rseries/Un_bound_imp.con" as lemma.
105 inline procedural "cic:/Coq/Reals/Rseries/growing_prop.con" as lemma.
107 (* classical is needed: [not_all_not_ex] *)
111 inline procedural "cic:/Coq/Reals/Rseries/Un_cv_crit.con" as lemma.
115 inline procedural "cic:/Coq/Reals/Rseries/finite_greater.con" as lemma.
119 inline procedural "cic:/Coq/Reals/Rseries/cauchy_bound.con" as lemma.
125 (*#****************************************************************)
127 (* Definition of Power Series and properties *)
131 (*#****************************************************************)
140 cic:/Coq/Reals/Rseries/Isequence/An.var
145 inline procedural "cic:/Coq/Reals/Rseries/Pser.con" as definition.
151 inline procedural "cic:/Coq/Reals/Rseries/GP_infinite.con" as lemma.