]> matita.cs.unibo.it Git - helm.git/blob - helm/software/matita/contribs/procedural/Coq/Reals/Sqrt_reg.mma
transcript: we improved the parser/lexer to read the scripts of the standard
[helm.git] / helm / software / matita / contribs / procedural / Coq / Reals / Sqrt_reg.mma
1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
6 (*      ||I||       Developers:                                           *)
7 (*      ||T||         The HELM team.                                      *)
8 (*      ||A||         http://helm.cs.unibo.it                             *)
9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
12 (*                                                                        *)
13 (**************************************************************************)
14
15 (* This file was automatically generated: do not edit *********************)
16
17 include "Coq.ma".
18
19 (*#**********************************************************************)
20
21 (*  v      *   The Coq Proof Assistant  /  The Coq Development Team    *)
22
23 (* <O___,, *        INRIA-Rocquencourt  &  LRI-CNRS-Orsay              *)
24
25 (*   \VV/  *************************************************************)
26
27 (*    //   *      This file is distributed under the terms of the      *)
28
29 (*         *       GNU Lesser General Public License Version 2.1       *)
30
31 (*#**********************************************************************)
32
33 (*i $Id: Sqrt_reg.v,v 1.9 2003/12/24 10:27:08 barras Exp $ i*)
34
35 include "Reals/Rbase.ma".
36
37 include "Reals/Rfunctions.ma".
38
39 include "Reals/Ranalysis1.ma".
40
41 include "Reals/R_sqrt.ma".
42
43 (* UNEXPORTED
44 Open Local Scope R_scope.
45 *)
46
47 (*#*********)
48
49 inline procedural "cic:/Coq/Reals/Sqrt_reg/sqrt_var_maj.con" as lemma.
50
51 (* sqrt is continuous in 1 *)
52
53 inline procedural "cic:/Coq/Reals/Sqrt_reg/sqrt_continuity_pt_R1.con" as lemma.
54
55 (* sqrt is continuous forall x>0 *)
56
57 inline procedural "cic:/Coq/Reals/Sqrt_reg/sqrt_continuity_pt.con" as lemma.
58
59 (* sqrt is derivable for all x>0 *)
60
61 inline procedural "cic:/Coq/Reals/Sqrt_reg/derivable_pt_lim_sqrt.con" as lemma.
62
63 (*#*********)
64
65 inline procedural "cic:/Coq/Reals/Sqrt_reg/derivable_pt_sqrt.con" as lemma.
66
67 (*#*********)
68
69 inline procedural "cic:/Coq/Reals/Sqrt_reg/derive_pt_sqrt.con" as lemma.
70
71 (* We show that sqrt is continuous for all x>=0 *)
72
73 (* Remark : by definition of sqrt (as extension of Rsqrt on |R), *)
74
75 (*          we could also show that sqrt is continuous for all x *)
76
77 inline procedural "cic:/Coq/Reals/Sqrt_reg/continuity_pt_sqrt.con" as lemma.
78