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: Rlimit.v,v 1.23.2.1 2004/07/16 19:31:13 herbelin Exp $ i*)
35 (*#********************************************************)
37 (* Definition of the limit *)
41 (*#********************************************************)
43 include "Reals/Rbase.ma".
45 include "Reals/Rfunctions.ma".
47 include "Logic/Classical_Prop.ma".
50 Open Local Scope R_scope.
53 (*#******************************)
57 (*#******************************)
61 inline procedural "cic:/Coq/Reals/Rlimit/eps2_Rgt_R0.con" as lemma.
65 inline procedural "cic:/Coq/Reals/Rlimit/eps2.con" as lemma.
69 inline procedural "cic:/Coq/Reals/Rlimit/eps4.con" as lemma.
73 inline procedural "cic:/Coq/Reals/Rlimit/Rlt_eps2_eps.con" as lemma.
77 inline procedural "cic:/Coq/Reals/Rlimit/Rlt_eps4_eps.con" as lemma.
81 inline procedural "cic:/Coq/Reals/Rlimit/prop_eps.con" as lemma.
85 inline procedural "cic:/Coq/Reals/Rlimit/mul_factor.con" as definition.
89 inline procedural "cic:/Coq/Reals/Rlimit/mul_factor_wd.con" as lemma.
93 inline procedural "cic:/Coq/Reals/Rlimit/mul_factor_gt.con" as lemma.
97 inline procedural "cic:/Coq/Reals/Rlimit/mul_factor_gt_f.con" as lemma.
99 (*#******************************)
103 (*#******************************)
107 inline procedural "cic:/Coq/Reals/Rlimit/Metric_Space.ind".
109 (*#******************************)
111 (* Limit in Metric space *)
113 (*#******************************)
117 inline procedural "cic:/Coq/Reals/Rlimit/limit_in.con" as definition.
119 (*#******************************)
121 (* R is a metric space *)
123 (*#******************************)
127 inline procedural "cic:/Coq/Reals/Rlimit/R_met.con" as definition.
129 (*#******************************)
133 (*#******************************)
137 inline procedural "cic:/Coq/Reals/Rlimit/Dgf.con" as definition.
141 inline procedural "cic:/Coq/Reals/Rlimit/limit1_in.con" as definition.
145 inline procedural "cic:/Coq/Reals/Rlimit/tech_limit.con" as lemma.
149 inline procedural "cic:/Coq/Reals/Rlimit/tech_limit_contr.con" as lemma.
153 inline procedural "cic:/Coq/Reals/Rlimit/lim_x.con" as lemma.
157 inline procedural "cic:/Coq/Reals/Rlimit/limit_plus.con" as lemma.
161 inline procedural "cic:/Coq/Reals/Rlimit/limit_Ropp.con" as lemma.
165 inline procedural "cic:/Coq/Reals/Rlimit/limit_minus.con" as lemma.
169 inline procedural "cic:/Coq/Reals/Rlimit/limit_free.con" as lemma.
173 inline procedural "cic:/Coq/Reals/Rlimit/limit_mul.con" as lemma.
177 inline procedural "cic:/Coq/Reals/Rlimit/adhDa.con" as definition.
181 inline procedural "cic:/Coq/Reals/Rlimit/single_limit.con" as lemma.
185 inline procedural "cic:/Coq/Reals/Rlimit/limit_comp.con" as lemma.
189 inline procedural "cic:/Coq/Reals/Rlimit/limit_inv.con" as lemma.