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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 *)
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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: Exp_prop.v,v 1.16.2.1 2004/07/16 19:31:10 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/Ranalysis1.ma".
45 include "Reals/PSeries_reg.ma".
47 include "Arith/Div2.ma".
49 include "Arith/Even.ma".
51 include "Arith/Max.ma".
54 Open Local Scope nat_scope.
58 Open Local Scope R_scope.
61 inline procedural "cic:/Coq/Reals/Exp_prop/E1.con" as definition.
63 inline procedural "cic:/Coq/Reals/Exp_prop/E1_cvg.con" as lemma.
65 inline procedural "cic:/Coq/Reals/Exp_prop/Reste_E.con" as definition.
67 inline procedural "cic:/Coq/Reals/Exp_prop/exp_form.con" as lemma.
69 inline procedural "cic:/Coq/Reals/Exp_prop/maj_Reste_E.con" as definition.
71 inline procedural "cic:/Coq/Reals/Exp_prop/Rle_Rinv.con" as lemma.
75 inline procedural "cic:/Coq/Reals/Exp_prop/div2_double.con" as lemma.
77 inline procedural "cic:/Coq/Reals/Exp_prop/div2_S_double.con" as lemma.
79 inline procedural "cic:/Coq/Reals/Exp_prop/div2_not_R0.con" as lemma.
81 inline procedural "cic:/Coq/Reals/Exp_prop/Reste_E_maj.con" as lemma.
83 inline procedural "cic:/Coq/Reals/Exp_prop/maj_Reste_cv_R0.con" as lemma.
87 inline procedural "cic:/Coq/Reals/Exp_prop/Reste_E_cv.con" as lemma.
91 inline procedural "cic:/Coq/Reals/Exp_prop/exp_plus.con" as lemma.
95 inline procedural "cic:/Coq/Reals/Exp_prop/exp_pos_pos.con" as lemma.
99 inline procedural "cic:/Coq/Reals/Exp_prop/exp_pos.con" as lemma.
101 (* ((exp h)-1)/h -> 0 quand h->0 *)
103 inline procedural "cic:/Coq/Reals/Exp_prop/derivable_pt_lim_exp_0.con" as lemma.
107 inline procedural "cic:/Coq/Reals/Exp_prop/derivable_pt_lim_exp.con" as lemma.