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

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  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 set "baseuri" "cic:/matita/CoRN-Decl/fta/KneserLemma".
  18
  19 include "CoRN.ma".
  20
  21 (* $Id: KneserLemma.v,v 1.7 2004/04/23 10:00:57 lcf Exp $ *)
  22
  23 (*#* printing Smallest %\ensuremath{\frac13^{2n^2+n}}% *)
  24
  25 (*#* printing eta_0 %\ensuremath{\eta_0}% #&eta;<SUB>0</SUB># *)
  26
  27 include "complex/NRootCC.ma".
  28
  29 include "complex/AbsCC.ma".
  30
  31 include "fta/MainLemma.ma".
  32
  33 (*#* ** Kneser Lemma *)
  34
  35 (* UNEXPORTED
  36 Section Kneser_Lemma
  37 *)
  38
  39 (*#*
  40 %\begin{convention}% Let [b : nat->CC], [n : nat] and [c : IR]
  41 such that [0 < n], [b_0 := b 0], [b_n := (b n) [=] One] and
  42 [(AbsCC b_0) [<] c].
  43 %\end{convention}%
  44 *)
  45
  46 alias id "b" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b.var".
  47
  48 alias id "n" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/n.var".
  49
  50 alias id "gt_n_0" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/gt_n_0.var".
  51
  52 (* begin hide *)
  53
  54 inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b_0.con" "Kneser_Lemma__".
  55
  56 inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b_n.con" "Kneser_Lemma__".
  57
  58 (* end hide *)
  59
  60 alias id "b_n_1" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b_n_1.var".
  61
  62 alias id "c" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/c.var".
  63
  64 alias id "b_0_lt_c" = "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/b_0_lt_c.var".
  65
  66 (*#*
  67 %\begin{convention}% We define the following local abbreviations:
  68  - [two_n := 2 * n]
  69  - [Small := p3m n]
  70  - [Smaller := p3m (two_n * n)]
  71  - [Smallest := Small[*]Smaller]
  72  - [q := One[-]Smallest]
  73  - [a i := AbsCC (b i)]
  74
  75 %\end{convention}%
  76 *)
  77
  78 (* begin hide *)
  79
  80 inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/two_n.con" "Kneser_Lemma__".
  81
  82 inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/Small.con" "Kneser_Lemma__".
  83
  84 inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/Smaller.con" "Kneser_Lemma__".
  85
  86 inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/Smallest.con" "Kneser_Lemma__".
  87
  88 inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/q.con" "Kneser_Lemma__".
  89
  90 (* end hide *)
  91
  92 inline "cic:/CoRN/fta/KneserLemma/b_0'_exists.con".
  93
  94 inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/eta_0.con" "Kneser_Lemma__".
  95
  96 inline "cic:/CoRN/fta/KneserLemma/eta_0_pos.con".
  97
  98 inline "cic:/CoRN/fta/KneserLemma/eta_exists.con".
  99
 100 inline "cic:/CoRN/fta/KneserLemma/eps_exists_1.con".
 101
 102 (* less_cotransitive_unfolded on
 103   {Zero  [<]  y[/]x[//]H3[-]Half[*]eps} +
 104   {y[/]x[//]H3[-]Half[*]eps  [<]  Half[*]eps}. *)
 105
 106 inline "cic:/CoRN/fta/KneserLemma/eps_exists.con".
 107
 108 (* begin hide *)
 109
 110 inline "cic:/CoRN/fta/KneserLemma/Kneser_Lemma/a.con" "Kneser_Lemma__".
 111
 112 (* end hide *)
 113
 114 inline "cic:/CoRN/fta/KneserLemma/z_exists.con".
 115
 116 (* end hide *)
 117
 118 inline "cic:/CoRN/fta/KneserLemma/Kneser_1'.con".
 119
 120 inline "cic:/CoRN/fta/KneserLemma/Kneser_1''.con".
 121
 122 inline "cic:/CoRN/fta/KneserLemma/Kneser_1.con".
 123
 124 inline "cic:/CoRN/fta/KneserLemma/Kneser_2a.con".
 125
 126 inline "cic:/CoRN/fta/KneserLemma/Kneser_2b.con".
 127
 128 (* end hide *)
 129
 130 inline "cic:/CoRN/fta/KneserLemma/Kneser_2c.con".
 131
 132 (* end hide *)
 133
 134 inline "cic:/CoRN/fta/KneserLemma/Kneser_2.con".
 135
 136 (* end hide *)
 137
 138 inline "cic:/CoRN/fta/KneserLemma/Kneser_3.con".
 139
 140 (* UNEXPORTED
 141 End Kneser_Lemma
 142 *)
 143
 144 inline "cic:/CoRN/fta/KneserLemma/Kneser.con".
 145