helm/software/matita/contribs/procedural/CoRN/algebra/COrdAbs.mma

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   5 (*      ||T||                                                             *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  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 include "CoRN.ma".
  18
  19 include "algebra/COrdFields2.ma".
  20
  21 (*#*
  22 ** Properties of [AbsSmall]
  23 *)
  24
  25 (* Begin_SpecReals *)
  26
  27 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall.con" as definition.
  28
  29 (* UNEXPORTED
  30 Implicit Arguments AbsSmall [R].
  31 *)
  32
  33 (* End_SpecReals *)
  34
  35 (* UNEXPORTED
  36 Section AbsSmall_properties
  37 *)
  38
  39 (*#*
  40 %\begin{convention}% Let [R] be an ordered field.
  41 %\end{convention}%
  42 *)
  43
  44 (* UNEXPORTED
  45 cic:/CoRN/algebra/COrdAbs/AbsSmall_properties/R.var
  46 *)
  47
  48 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_wdr.con" as lemma.
  49
  50 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_wdr_unfolded.con" as lemma.
  51
  52 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_wdl.con" as lemma.
  53
  54 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_wdl_unfolded.con" as lemma.
  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 (* NOTATION
  67 Notation ZeroR := (Zero:R).
  68 *)
  69
  70 (* end hide *)
  71
  72 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_leEq_trans.con" as lemma.
  73
  74 inline procedural "cic:/CoRN/algebra/COrdAbs/zero_AbsSmall.con" as lemma.
  75
  76 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_trans.con" as lemma.
  77
  78 inline procedural "cic:/CoRN/algebra/COrdAbs/leEq_imp_AbsSmall.con" as lemma.
  79
  80 inline procedural "cic:/CoRN/algebra/COrdAbs/inv_resp_AbsSmall.con" as lemma.
  81
  82 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_minus.con" as lemma.
  83
  84 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_plus.con" as lemma.
  85
  86 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_eps_div_two.con" as lemma.
  87
  88 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_x_plus_delta.con" as lemma.
  89
  90 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_x_minus_delta.con" as lemma.
  91
  92 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_x_plus_eps_div2.con" as lemma.
  93
  94 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_x_minus_eps_div2.con" as lemma.
  95
  96 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_intermediate.con" as lemma.
  97
  98 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_eps_div2.con" as lemma.
  99
 100 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_nonneg.con" as lemma.
 101
 102 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_mult.con" as lemma.
 103
 104 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_cancel_mult.con" as lemma.
 105
 106 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsSmall_approach_zero.con" as lemma.
 107
 108 (* UNEXPORTED
 109 End AbsSmall_properties
 110 *)
 111
 112 (* UNEXPORTED
 113 Declare Left Step AbsSmall_wdl_unfolded.
 114 *)
 115
 116 (* UNEXPORTED
 117 Declare Right Step AbsSmall_wdr_unfolded.
 118 *)
 119
 120 (*#* ** Properties of [AbsBig] *)
 121
 122 inline procedural "cic:/CoRN/algebra/COrdAbs/absBig.con" as definition.
 123
 124 (* NOTATION
 125 Notation AbsBig := (absBig _).
 126 *)
 127
 128 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsBigSmall_minus.con" as lemma.
 129
 130 (* UNEXPORTED
 131 Section absBig_wd_properties
 132 *)
 133
 134 (*#*
 135 %\begin{convention}% Let [R] be an ordered field.
 136 %\end{convention}%
 137 *)
 138
 139 (* UNEXPORTED
 140 cic:/CoRN/algebra/COrdAbs/absBig_wd_properties/R.var
 141 *)
 142
 143 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsBig_wdr.con" as lemma.
 144
 145 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsBig_wdl.con" as lemma.
 146
 147 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsBig_wdr_unfolded.con" as lemma.
 148
 149 inline procedural "cic:/CoRN/algebra/COrdAbs/AbsBig_wdl_unfolded.con" as lemma.
 150
 151 (* UNEXPORTED
 152 End absBig_wd_properties
 153 *)
 154
 155 (* UNEXPORTED
 156 Declare Left Step AbsBig_wdl_unfolded.
 157 *)
 158
 159 (* UNEXPORTED
 160 Declare Right Step AbsBig_wdr_unfolded.
 161 *)
 162