helm/software/matita/contribs/procedural/CoRN/tactics/GroupReflection.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: GroupReflection.v,v 1.3 2004/04/23 10:01:06 lcf Exp $ *)
  20
  21 (* begin hide *)
  22
  23 include "algebra/CAbGroups.ma".
  24
  25 include "tactics/AlgReflection.ma".
  26
  27 (* UNEXPORTED
  28 Section Group_Interpretation_Function
  29 *)
  30
  31 (* UNEXPORTED
  32 cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/G.var
  33 *)
  34
  35 (* UNEXPORTED
  36 cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/val.var
  37 *)
  38
  39 (* UNEXPORTED
  40 cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/unop.var
  41 *)
  42
  43 (* UNEXPORTED
  44 cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/binop.var
  45 *)
  46
  47 (* UNEXPORTED
  48 cic:/CoRN/tactics/GroupReflection/Group_Interpretation_Function/pfun.var
  49 *)
  50
  51 inline procedural "cic:/CoRN/tactics/GroupReflection/interpG.ind".
  52
  53 inline procedural "cic:/CoRN/tactics/GroupReflection/wfG.con" as definition.
  54
  55 inline procedural "cic:/CoRN/tactics/GroupReflection/xexprG.ind".
  56
  57 inline procedural "cic:/CoRN/tactics/GroupReflection/xforgetG.con" as definition.
  58
  59 inline procedural "cic:/CoRN/tactics/GroupReflection/xinterpG.con" as definition.
  60
  61 inline procedural "cic:/CoRN/tactics/GroupReflection/xexprG2interpG.con" as lemma.
  62
  63 inline procedural "cic:/CoRN/tactics/GroupReflection/xexprG_diagram_commutes.con" as definition.
  64
  65 inline procedural "cic:/CoRN/tactics/GroupReflection/xexprG2wfG.con" as lemma.
  66
  67 inline procedural "cic:/CoRN/tactics/GroupReflection/fexprG.ind".
  68
  69 inline procedural "cic:/CoRN/tactics/GroupReflection/fexprG_var.con" as definition.
  70
  71 inline procedural "cic:/CoRN/tactics/GroupReflection/fexprG_zero.con" as definition.
  72
  73 inline procedural "cic:/CoRN/tactics/GroupReflection/fexprG_plus.con" as definition.
  74
  75 inline procedural "cic:/CoRN/tactics/GroupReflection/fexprG_mult_int.con" as definition.
  76
  77 inline procedural "cic:/CoRN/tactics/GroupReflection/fforgetG.con" as definition.
  78
  79 inline procedural "cic:/CoRN/tactics/GroupReflection/fexprG2interp.con" as lemma.
  80
  81 inline procedural "cic:/CoRN/tactics/GroupReflection/fexprG2wf.con" as lemma.
  82
  83 (* UNEXPORTED
  84 Opaque csg_crr.
  85 *)
  86
  87 (* UNEXPORTED
  88 Opaque cm_crr.
  89 *)
  90
  91 (* UNEXPORTED
  92 Opaque cg_crr.
  93 *)
  94
  95 (* UNEXPORTED
  96 Opaque csf_fun.
  97 *)
  98
  99 (* UNEXPORTED
 100 Opaque csbf_fun.
 101 *)
 102
 103 (* UNEXPORTED
 104 Opaque csr_rel.
 105 *)
 106
 107 (* UNEXPORTED
 108 Opaque cs_eq.
 109 *)
 110
 111 (* UNEXPORTED
 112 Opaque cs_neq.
 113 *)
 114
 115 (* UNEXPORTED
 116 Opaque cs_ap.
 117 *)
 118
 119 (* UNEXPORTED
 120 Opaque cm_unit.
 121 *)
 122
 123 (* UNEXPORTED
 124 Opaque csg_op.
 125 *)
 126
 127 (* UNEXPORTED
 128 Opaque cg_inv.
 129 *)
 130
 131 (* UNEXPORTED
 132 Opaque cg_minus.
 133 *)
 134
 135 inline procedural "cic:/CoRN/tactics/GroupReflection/refl_interpG.con" as lemma.
 136
 137 inline procedural "cic:/CoRN/tactics/GroupReflection/interpG_wd.con" as lemma.
 138
 139 (* UNEXPORTED
 140 End Group_Interpretation_Function
 141 *)
 142
 143 (* UNEXPORTED
 144 Section Group_NormCorrect
 145 *)
 146
 147 (* UNEXPORTED
 148 cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/G.var
 149 *)
 150
 151 (* UNEXPORTED
 152 cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/val.var
 153 *)
 154
 155 (* UNEXPORTED
 156 cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/unop.var
 157 *)
 158
 159 (* UNEXPORTED
 160 cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/binop.var
 161 *)
 162
 163 (* UNEXPORTED
 164 cic:/CoRN/tactics/GroupReflection/Group_NormCorrect/pfun.var
 165 *)
 166
 167 (* NOTATION
 168 Notation II := (interpG G val unop binop pfun).
 169 *)
 170
 171 (*
 172 four kinds of exprs:
 173
 174   I     (expr_int _)
 175   V     (expr_var _)
 176   M     (expr_mult V M)
 177         I
 178   P     (expr_plus M P)
 179         I
 180
 181 M: sorted on V
 182 P: sorted on M, all M's not an I
 183 *)
 184
 185 inline procedural "cic:/CoRN/tactics/GroupReflection/MI_mult_comm_int.con" as lemma.
 186
 187 (* UNEXPORTED
 188 Opaque Zmult.
 189 *)
 190
 191 inline procedural "cic:/CoRN/tactics/GroupReflection/MI_mult_corr_G.con" as lemma.
 192
 193 (* UNEXPORTED
 194 Transparent Zmult.
 195 *)
 196
 197 (* UNEXPORTED
 198 Opaque MI_mult.
 199 *)
 200
 201 inline procedural "cic:/CoRN/tactics/GroupReflection/MV_mult_corr_G.con" as lemma.
 202
 203 (* UNEXPORTED
 204 Opaque MV_mult.
 205 *)
 206
 207 inline procedural "cic:/CoRN/tactics/GroupReflection/MM_mult_corr_G.con" as lemma.
 208
 209 (* UNEXPORTED
 210 Transparent MV_mult MI_mult.
 211 *)
 212
 213 (* UNEXPORTED
 214 Opaque MV_mult.
 215 *)
 216
 217 inline procedural "cic:/CoRN/tactics/GroupReflection/MM_plus_corr_G.con" as lemma.
 218
 219 (* UNEXPORTED
 220 Transparent MV_mult.
 221 *)
 222
 223 (* UNEXPORTED
 224 Opaque MM_plus.
 225 *)
 226
 227 inline procedural "cic:/CoRN/tactics/GroupReflection/PM_plus_corr_G.con" as lemma.
 228
 229 (* UNEXPORTED
 230 Transparent MM_plus.
 231 *)
 232
 233 (* UNEXPORTED
 234 Opaque PM_plus.
 235 *)
 236
 237 inline procedural "cic:/CoRN/tactics/GroupReflection/PP_plus_corr_G.con" as lemma.
 238
 239 (* UNEXPORTED
 240 Transparent PM_plus.
 241 *)
 242
 243 (* UNEXPORTED
 244 Opaque PM_plus MM_mult MI_mult.
 245 *)
 246
 247 inline procedural "cic:/CoRN/tactics/GroupReflection/PM_mult_corr_G.con" as lemma.
 248
 249 (* UNEXPORTED
 250 Opaque PM_mult.
 251 *)
 252
 253 inline procedural "cic:/CoRN/tactics/GroupReflection/PP_mult_corr_G.con" as lemma.
 254
 255 inline procedural "cic:/CoRN/tactics/GroupReflection/NormG_corr_G.con" as lemma.
 256
 257 inline procedural "cic:/CoRN/tactics/GroupReflection/Tactic_lemmaG.con" as lemma.
 258
 259 (* UNEXPORTED
 260 End Group_NormCorrect
 261 *)
 262
 263 (* end hide *)
 264