matita/contribs/CoRN-Decl/fta/MainLemma.ma

   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 set "baseuri" "cic:/matita/CoRN-Decl/fta/MainLemma".
  18
  19 (* $Id: MainLemma.v,v 1.3 2004/04/23 10:00:57 lcf Exp $ *)
  20
  21 (*#* printing two_n %\ensuremath{2n}% #2n# *)
  22
  23 (*#* printing Small %\ensuremath{\frac13^n}% *)
  24
  25 (*#* printing Smaller %\ensuremath{\frac13^{2n^2}}% *)
  26
  27 (* INCLUDE
  28 CSumsReals
  29 *)
  30
  31 (* INCLUDE
  32 KeyLemma
  33 *)
  34
  35 (*#* ** Main Lemma
  36 *)
  37
  38 (* UNEXPORTED
  39 Section Main_Lemma.
  40 *)
  41
  42 (*#*
  43 %\begin{convention}%
  44 Let [a : nat->IR], [n : nat], [a_0 : IR]  and [eps : IR] such that [0 < n],
  45 [(Zero [<] eps)], [forall (k : nat)(Zero [<=] (a k))], [(a n) [=] One], and
  46 [(eps [<=] a_0)].
  47 %\end{convention}%
  48 *)
  49
  50 inline cic:/CoRN/fta/MainLemma/a.var.
  51
  52 inline cic:/CoRN/fta/MainLemma/n.var.
  53
  54 inline cic:/CoRN/fta/MainLemma/gt_n_0.var.
  55
  56 inline cic:/CoRN/fta/MainLemma/eps.var.
  57
  58 inline cic:/CoRN/fta/MainLemma/eps_pos.var.
  59
  60 inline cic:/CoRN/fta/MainLemma/a_nonneg.var.
  61
  62 inline cic:/CoRN/fta/MainLemma/a_n_1.var.
  63
  64 inline cic:/CoRN/fta/MainLemma/a_0.var.
  65
  66 inline cic:/CoRN/fta/MainLemma/eps_le_a_0.var.
  67
  68 inline cic:/CoRN/fta/MainLemma/a_0_pos.con.
  69
  70 (*#*
  71 %\begin{convention}% We define the following local abbreviations:
  72  - [two_n := 2 * n]
  73  - [Small := p3m n]
  74  - [Smaller := p3m (two_n * n)]
  75
  76 %\end{convention}%
  77 *)
  78
  79 (* begin hide *)
  80
  81 inline cic:/CoRN/fta/MainLemma/two_n.con.
  82
  83 inline cic:/CoRN/fta/MainLemma/Small.con.
  84
  85 inline cic:/CoRN/fta/MainLemma/Smaller.con.
  86
  87 (* end hide *)
  88
  89 inline cic:/CoRN/fta/MainLemma/Main_1a'.con.
  90
  91 (* end hide *)
  92
  93 inline cic:/CoRN/fta/MainLemma/Main_1b'.con.
  94
  95 (* end hide *)
  96
  97 inline cic:/CoRN/fta/MainLemma/Main_1a.con.
  98
  99 (* end hide *)
 100
 101 inline cic:/CoRN/fta/MainLemma/Main_1b.con.
 102
 103 (* end hide *)
 104
 105 inline cic:/CoRN/fta/MainLemma/Main_1.con.
 106
 107 (* end hide *)
 108
 109 inline cic:/CoRN/fta/MainLemma/Main_2'.con.
 110
 111 inline cic:/CoRN/fta/MainLemma/Main_2.con.
 112
 113 (* end hide *)
 114
 115 inline cic:/CoRN/fta/MainLemma/Main_3a.con.
 116
 117 (* end hide *)
 118
 119 inline cic:/CoRN/fta/MainLemma/Main_3.con.
 120
 121 (* end hide *)
 122
 123 inline cic:/CoRN/fta/MainLemma/Main.con.
 124
 125 (* end hide *)
 126
 127 (* UNEXPORTED
 128 End Main_Lemma.
 129 *)
 130