helm/software/matita/contribs/procedural/CoRN/tactics/FieldReflection.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 "CoRN.ma".
  18
  19 (* $Id: FieldReflection.v,v 1.4 2004/04/23 10:01:06 lcf Exp $ *)
  20
  21 (* begin hide *)
  22
  23 include "algebra/CFields.ma".
  24
  25 include "tactics/AlgReflection.ma".
  26
  27 (* UNEXPORTED
  28 Section Field_Interpretation_Function
  29 *)
  30
  31 (* UNEXPORTED
  32 cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/F.var
  33 *)
  34
  35 (* UNEXPORTED
  36 cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/val.var
  37 *)
  38
  39 (* UNEXPORTED
  40 cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/unop.var
  41 *)
  42
  43 (* UNEXPORTED
  44 cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/binop.var
  45 *)
  46
  47 (* UNEXPORTED
  48 cic:/CoRN/tactics/FieldReflection/Field_Interpretation_Function/pfun.var
  49 *)
  50
  51 inline procedural "cic:/CoRN/tactics/FieldReflection/interpF.ind".
  52
  53 inline procedural "cic:/CoRN/tactics/FieldReflection/wfF.con" as definition.
  54
  55 inline procedural "cic:/CoRN/tactics/FieldReflection/xexprF.ind".
  56
  57 inline procedural "cic:/CoRN/tactics/FieldReflection/xforgetF.con" as definition.
  58
  59 inline procedural "cic:/CoRN/tactics/FieldReflection/xinterpF.con" as definition.
  60
  61 inline procedural "cic:/CoRN/tactics/FieldReflection/xexprF2interpF.con" as lemma.
  62
  63 inline procedural "cic:/CoRN/tactics/FieldReflection/xexprF_diagram_commutes.con" as definition.
  64
  65 inline procedural "cic:/CoRN/tactics/FieldReflection/xexprF2wfF.con" as lemma.
  66
  67 inline procedural "cic:/CoRN/tactics/FieldReflection/fexprF.ind".
  68
  69 inline procedural "cic:/CoRN/tactics/FieldReflection/fexprF_var.con" as definition.
  70
  71 inline procedural "cic:/CoRN/tactics/FieldReflection/fexprF_int.con" as definition.
  72
  73 inline procedural "cic:/CoRN/tactics/FieldReflection/fexprF_plus.con" as definition.
  74
  75 inline procedural "cic:/CoRN/tactics/FieldReflection/fexprF_mult.con" as definition.
  76
  77 inline procedural "cic:/CoRN/tactics/FieldReflection/fforgetF.con" as definition.
  78
  79 inline procedural "cic:/CoRN/tactics/FieldReflection/fexprF2interpF.con" as lemma.
  80
  81 inline procedural "cic:/CoRN/tactics/FieldReflection/fexprF2wfF.con" as lemma.
  82
  83 include "tactics/Opaque_algebra.ma".
  84
  85 inline procedural "cic:/CoRN/tactics/FieldReflection/refl_interpF.con" as lemma.
  86
  87 inline procedural "cic:/CoRN/tactics/FieldReflection/interpF_wd.con" as lemma.
  88
  89 (* UNEXPORTED
  90 End Field_Interpretation_Function
  91 *)
  92
  93 (* UNEXPORTED
  94 Section Field_NormCorrect
  95 *)
  96
  97 (* UNEXPORTED
  98 cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/F.var
  99 *)
 100
 101 (* UNEXPORTED
 102 cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/val.var
 103 *)
 104
 105 (* UNEXPORTED
 106 cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/unop.var
 107 *)
 108
 109 (* UNEXPORTED
 110 cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/binop.var
 111 *)
 112
 113 (* UNEXPORTED
 114 cic:/CoRN/tactics/FieldReflection/Field_NormCorrect/pfun.var
 115 *)
 116
 117 (* NOTATION
 118 Notation II := (interpF F val unop binop pfun).
 119 *)
 120
 121 (*
 122 four kinds of exprs:
 123
 124   I     (expr_int _)
 125   V     (expr_var _)
 126   M     (expr_mult V M)
 127         I
 128   P     (expr_plus M P)
 129         I
 130
 131 M: sorted on V
 132 P: sorted on M, all M's not an I
 133 *)
 134
 135 (* UNEXPORTED
 136 Opaque Zmult.
 137 *)
 138
 139 inline procedural "cic:/CoRN/tactics/FieldReflection/MI_mult_corr_F.con" as lemma.
 140
 141 (* UNEXPORTED
 142 Transparent Zmult.
 143 *)
 144
 145 (* UNEXPORTED
 146 Opaque MI_mult.
 147 *)
 148
 149 inline procedural "cic:/CoRN/tactics/FieldReflection/MV_mult_corr_F.con" as lemma.
 150
 151 (* UNEXPORTED
 152 Transparent MI_mult.
 153 *)
 154
 155 (* UNEXPORTED
 156 Opaque MV_mult MI_mult.
 157 *)
 158
 159 inline procedural "cic:/CoRN/tactics/FieldReflection/MM_mult_corr_F.con" as lemma.
 160
 161 (* UNEXPORTED
 162 Transparent MV_mult MI_mult.
 163 *)
 164
 165 (* UNEXPORTED
 166 Opaque MV_mult.
 167 *)
 168
 169 inline procedural "cic:/CoRN/tactics/FieldReflection/MM_plus_corr_F.con" as lemma.
 170
 171 (* UNEXPORTED
 172 Transparent MV_mult.
 173 *)
 174
 175 (* UNEXPORTED
 176 Opaque MM_plus.
 177 *)
 178
 179 inline procedural "cic:/CoRN/tactics/FieldReflection/PM_plus_corr_F.con" as lemma.
 180
 181 (* UNEXPORTED
 182 Transparent MM_plus.
 183 *)
 184
 185 (* UNEXPORTED
 186 Opaque PM_plus.
 187 *)
 188
 189 inline procedural "cic:/CoRN/tactics/FieldReflection/PP_plus_corr_F.con" as lemma.
 190
 191 (* UNEXPORTED
 192 Transparent PM_plus.
 193 *)
 194
 195 (* UNEXPORTED
 196 Opaque PM_plus MM_mult MI_mult.
 197 *)
 198
 199 inline procedural "cic:/CoRN/tactics/FieldReflection/PM_mult_corr_F.con" as lemma.
 200
 201 (* UNEXPORTED
 202 Opaque PM_mult.
 203 *)
 204
 205 inline procedural "cic:/CoRN/tactics/FieldReflection/PP_mult_corr_F.con" as lemma.
 206
 207 (* UNEXPORTED
 208 Transparent PP_plus PM_mult PP_mult PM_plus MI_mult.
 209 *)
 210
 211 inline procedural "cic:/CoRN/tactics/FieldReflection/FF_plus_corr_F.con" as lemma.
 212
 213 inline procedural "cic:/CoRN/tactics/FieldReflection/FF_mult_corr_F.con" as lemma.
 214
 215 (* UNEXPORTED
 216 Transparent FF_div.
 217 *)
 218
 219 inline procedural "cic:/CoRN/tactics/FieldReflection/FF_div_corr_F.con" as lemma.
 220
 221 inline procedural "cic:/CoRN/tactics/FieldReflection/NormF_corr.con" as lemma.
 222
 223 inline procedural "cic:/CoRN/tactics/FieldReflection/Norm_wfF.con" as lemma.
 224
 225 inline procedural "cic:/CoRN/tactics/FieldReflection/expr_is_zero_corr_F.con" as lemma.
 226
 227 inline procedural "cic:/CoRN/tactics/FieldReflection/Tactic_lemma_zero_F.con" as lemma.
 228
 229 inline procedural "cic:/CoRN/tactics/FieldReflection/Tactic_lemmaF.con" as lemma.
 230
 231 (* UNEXPORTED
 232 End Field_NormCorrect
 233 *)
 234
 235 (* end hide *)
 236