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: Ranalysis4.v,v 1.19.2.1 2004/07/16 19:31:12 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/Ranalysis3.ma".
47 include "Reals/Exp_prop.ma".
50 Open Local Scope R_scope.
55 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_inv.con" as lemma.
59 inline procedural "cic:/Coq/Reals/Ranalysis4/pr_nu_var.con" as lemma.
63 inline procedural "cic:/Coq/Reals/Ranalysis4/pr_nu_var2.con" as lemma.
67 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_inv.con" as lemma.
69 inline procedural "cic:/Coq/Reals/Ranalysis4/derive_pt_inv.con" as lemma.
73 inline procedural "cic:/Coq/Reals/Ranalysis4/Rabs_derive_1.con" as lemma.
75 inline procedural "cic:/Coq/Reals/Ranalysis4/Rabs_derive_2.con" as lemma.
77 (* Rabsolu is derivable for all x <> 0 *)
79 inline procedural "cic:/Coq/Reals/Ranalysis4/Rderivable_pt_abs.con" as lemma.
81 (* Rabsolu is continuous for all x *)
83 inline procedural "cic:/Coq/Reals/Ranalysis4/Rcontinuity_abs.con" as lemma.
85 (* Finite sums : Sum a_k x^k *)
87 inline procedural "cic:/Coq/Reals/Ranalysis4/continuity_finite_sum.con" as lemma.
89 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_lim_fs.con" as lemma.
91 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_lim_finite_sum.con" as lemma.
93 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_finite_sum.con" as lemma.
95 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_finite_sum.con" as lemma.
97 (* Regularity of hyperbolic functions *)
99 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_lim_cosh.con" as lemma.
101 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_lim_sinh.con" as lemma.
103 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_exp.con" as lemma.
105 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_cosh.con" as lemma.
107 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_pt_sinh.con" as lemma.
109 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_exp.con" as lemma.
111 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_cosh.con" as lemma.
113 inline procedural "cic:/Coq/Reals/Ranalysis4/derivable_sinh.con" as lemma.
115 inline procedural "cic:/Coq/Reals/Ranalysis4/derive_pt_exp.con" as lemma.
117 inline procedural "cic:/Coq/Reals/Ranalysis4/derive_pt_cosh.con" as lemma.
119 inline procedural "cic:/Coq/Reals/Ranalysis4/derive_pt_sinh.con" as lemma.