helm/software/matita/contribs/CoRN-Decl/algebra/COrdAbs.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/algebra/COrdAbs".
  18
  19 include "CoRN_notation.ma".
  20
  21 include "algebra/COrdFields2.ma".
  22
  23 (*#*
  24 ** Properties of [AbsSmall]
  25 *)
  26
  27 (* Begin_SpecReals *)
  28
  29 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall.con".
  30
  31 (* UNEXPORTED
  32 Implicit Arguments AbsSmall [R].
  33 *)
  34
  35 (* End_SpecReals *)
  36
  37 (* UNEXPORTED
  38 Section AbsSmall_properties.
  39 *)
  40
  41 (*#*
  42 %\begin{convention}% Let [R] be an ordered field.
  43 %\end{convention}%
  44 *)
  45
  46 inline "cic:/CoRN/algebra/COrdAbs/R.var".
  47
  48 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_wdr.con".
  49
  50 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_wdr_unfolded.con".
  51
  52 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_wdl.con".
  53
  54 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_wdl_unfolded.con".
  55
  56 (* UNEXPORTED
  57 Declare Left Step AbsSmall_wdl_unfolded.
  58 *)
  59
  60 (* UNEXPORTED
  61 Declare Right Step AbsSmall_wdr_unfolded.
  62 *)
  63
  64 (* begin hide *)
  65
  66 (* end hide *)
  67
  68 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_leEq_trans.con".
  69
  70 inline "cic:/CoRN/algebra/COrdAbs/zero_AbsSmall.con".
  71
  72 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_trans.con".
  73
  74 inline "cic:/CoRN/algebra/COrdAbs/leEq_imp_AbsSmall.con".
  75
  76 inline "cic:/CoRN/algebra/COrdAbs/inv_resp_AbsSmall.con".
  77
  78 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_minus.con".
  79
  80 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_plus.con".
  81
  82 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_eps_div_two.con".
  83
  84 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_x_plus_delta.con".
  85
  86 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_x_minus_delta.con".
  87
  88 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_x_plus_eps_div2.con".
  89
  90 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_x_minus_eps_div2.con".
  91
  92 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_intermediate.con".
  93
  94 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_eps_div2.con".
  95
  96 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_nonneg.con".
  97
  98 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_mult.con".
  99
 100 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_cancel_mult.con".
 101
 102 inline "cic:/CoRN/algebra/COrdAbs/AbsSmall_approach_zero.con".
 103
 104 (* UNEXPORTED
 105 End AbsSmall_properties.
 106 *)
 107
 108 (* UNEXPORTED
 109 Declare Left Step AbsSmall_wdl_unfolded.
 110 *)
 111
 112 (* UNEXPORTED
 113 Declare Right Step AbsSmall_wdr_unfolded.
 114 *)
 115
 116 (*#* ** Properties of [AbsBig] *)
 117
 118 inline "cic:/CoRN/algebra/COrdAbs/absBig.con".
 119
 120 inline "cic:/CoRN/algebra/COrdAbs/AbsBigSmall_minus.con".
 121
 122 (* UNEXPORTED
 123 Section absBig_wd_properties.
 124 *)
 125
 126 (*#*
 127 %\begin{convention}% Let [R] be an ordered field.
 128 %\end{convention}%
 129 *)
 130
 131 inline "cic:/CoRN/algebra/COrdAbs/R.var".
 132
 133 inline "cic:/CoRN/algebra/COrdAbs/AbsBig_wdr.con".
 134
 135 inline "cic:/CoRN/algebra/COrdAbs/AbsBig_wdl.con".
 136
 137 inline "cic:/CoRN/algebra/COrdAbs/AbsBig_wdr_unfolded.con".
 138
 139 inline "cic:/CoRN/algebra/COrdAbs/AbsBig_wdl_unfolded.con".
 140
 141 (* UNEXPORTED
 142 End absBig_wd_properties.
 143 *)
 144
 145 (* UNEXPORTED
 146 Declare Left Step AbsBig_wdl_unfolded.
 147 *)
 148
 149 (* UNEXPORTED
 150 Declare Right Step AbsBig_wdr_unfolded.
 151 *)
 152