matita/help/C/tactics_quickref.xml

   1 <table frame="topbot" rowsep="0" colsep="0" role="grammar">
   2   <title>tactics</title>
   3   <tgroup cols="3">
   4     <tbody>
   5       <row>
   6         <entry id="grammar.tactic">&tactic;</entry>
   7         <entry>::=</entry>
   8         <entry><link linkend="tac_absurd"><emphasis role="bold">absurd</emphasis></link> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis></entry>
   9       </row>
  10       <row>
  11         <entry/>
  12         <entry>|</entry>
  13         <entry><link linkend="tac_apply"><emphasis role="bold">apply</emphasis></link> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis></entry>
  14       </row>
  15       <row>
  16         <entry/>
  17         <entry>|</entry>
  18         <entry><link linkend="tac_applyS"><emphasis role="bold">applyS</emphasis></link> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis> <emphasis><link linkend="grammar.autoparams">auto_params</link></emphasis></entry>
  19       </row>
  20       <row>
  21         <entry/>
  22         <entry>|</entry>
  23         <entry>
  24           <link linkend="tac_assumption">
  25             <emphasis role="bold">assumption</emphasis>
  26           </link>
  27         </entry>
  28       </row>
  29       <row>
  30         <entry/>
  31         <entry>|</entry>
  32         <entry><link linkend="tac_auto"><emphasis role="bold">auto</emphasis></link> <emphasis><link linkend="grammar.autoparams">auto_params</link></emphasis></entry>
  33       </row>
  34       <row>
  35         <entry/>
  36         <entry>|</entry>
  37         <entry>
  38              <link linkend="tac_cases"><emphasis role="bold">cases</emphasis></link>
  39              <emphasis><link linkend="grammar.term">term</link></emphasis> [<emphasis role="bold">(</emphasis>[<emphasis><link linkend="grammar.id">id</link></emphasis>]…<emphasis role="bold">)</emphasis>]
  40             </entry>
  41       </row>
  42       <row>
  43         <entry/>
  44         <entry>|</entry>
  45         <entry><link linkend="tac_change"><emphasis role="bold">change</emphasis></link> <emphasis><link linkend="grammar.pattern">pattern</link></emphasis> <emphasis role="bold">with</emphasis> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis></entry>
  46       </row>
  47       <row>
  48         <entry/>
  49         <entry>|</entry>
  50         <entry>
  51              <link linkend="tac_clear"><emphasis role="bold">clear</emphasis></link>
  52              <emphasis><link linkend="grammar.id">id</link></emphasis> [<emphasis><link linkend="grammar.id">id</link></emphasis>…]
  53             </entry>
  54       </row>
  55       <row>
  56         <entry/>
  57         <entry>|</entry>
  58         <entry><link linkend="tac_clearbody"><emphasis role="bold">clearbody</emphasis></link> <emphasis><link linkend="grammar.id">id</link></emphasis></entry>
  59       </row>
  60       <row>
  61         <entry/>
  62         <entry>|</entry>
  63         <entry><link linkend="tac_compose"><emphasis role="bold">compose</emphasis></link> [<emphasis><link linkend="grammar.nat">nat</link></emphasis>] <emphasis><link linkend="grammar.sterm">sterm</link></emphasis> [<emphasis role="bold">with</emphasis> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis>] [<emphasis><link linkend="grammar.intros-spec">intros-spec</link></emphasis>]</entry>
  64       </row>
  65       <row>
  66         <entry/>
  67         <entry>|</entry>
  68         <entry><link linkend="tac_constructor"><emphasis role="bold">constructor</emphasis></link> <emphasis><link linkend="grammar.nat">nat</link></emphasis></entry>
  69       </row>
  70       <row>
  71         <entry/>
  72         <entry>|</entry>
  73         <entry>
  74           <link linkend="tac_contradiction">
  75             <emphasis role="bold">contradiction</emphasis>
  76           </link>
  77         </entry>
  78       </row>
  79       <row>
  80         <entry/>
  81         <entry>|</entry>
  82         <entry><link linkend="tac_cut"><emphasis role="bold">cut</emphasis></link> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis> [<emphasis role="bold">as</emphasis> <emphasis><link linkend="grammar.id">id</link></emphasis>]</entry>
  83       </row>
  84       <row>
  85         <entry/>
  86         <entry>|</entry>
  87         <entry>
  88              <link linkend="tac_decompose"><emphasis role="bold">decompose</emphasis></link>
  89              [<emphasis role="bold">as</emphasis> <emphasis><link linkend="grammar.id">id</link></emphasis>…]
  90             </entry>
  91       </row>
  92       <row>
  93         <entry/>
  94         <entry>|</entry>
  95         <entry><link linkend="tac_demodulate"><emphasis role="bold">demodulate</emphasis></link> <emphasis><link linkend="grammar.autoparams">auto_params</link></emphasis></entry>
  96       </row>
  97       <row>
  98         <entry/>
  99         <entry>|</entry>
 100         <entry><link linkend="tac_destruct"><emphasis role="bold">destruct</emphasis></link> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis></entry>
 101       </row>
 102       <row>
 103         <entry/>
 104         <entry>|</entry>
 105         <entry><link linkend="tac_elim"><emphasis role="bold">elim</emphasis></link> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis> [<emphasis role="bold">using</emphasis> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis>] <emphasis><link linkend="grammar.intros-spec">intros-spec</link></emphasis></entry>
 106       </row>
 107       <row>
 108         <entry/>
 109         <entry>|</entry>
 110         <entry><link linkend="tac_elimType"><emphasis role="bold">elimType</emphasis></link> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis> [<emphasis role="bold">using</emphasis> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis>] <emphasis><link linkend="grammar.intros-spec">intros-spec</link></emphasis></entry>
 111       </row>
 112       <row>
 113         <entry/>
 114         <entry>|</entry>
 115         <entry><link linkend="tac_exact"><emphasis role="bold">exact</emphasis></link> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis></entry>
 116       </row>
 117       <row>
 118         <entry/>
 119         <entry>|</entry>
 120         <entry>
 121           <link linkend="tac_exists">
 122             <emphasis role="bold">exists</emphasis>
 123           </link>
 124         </entry>
 125       </row>
 126       <row>
 127         <entry/>
 128         <entry>|</entry>
 129         <entry>
 130           <link linkend="tac_fail">
 131             <emphasis role="bold">fail</emphasis>
 132           </link>
 133         </entry>
 134       </row>
 135       <row>
 136         <entry/>
 137         <entry>|</entry>
 138         <entry><link linkend="tac_fold"><emphasis role="bold">fold</emphasis></link> <emphasis><link linkend="grammar.reduction-kind">reduction-kind</link></emphasis> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis> <emphasis><link linkend="grammar.pattern">pattern</link></emphasis></entry>
 139       </row>
 140       <row>
 141         <entry/>
 142         <entry>|</entry>
 143         <entry>
 144           <link linkend="tac_fourier">
 145             <emphasis role="bold">fourier</emphasis>
 146           </link>
 147         </entry>
 148       </row>
 149       <row>
 150         <entry/>
 151         <entry>|</entry>
 152         <entry><link linkend="tac_fwd"><emphasis role="bold">fwd</emphasis></link> <emphasis><link linkend="grammar.id">id</link></emphasis> [<emphasis role="bold">as</emphasis> <emphasis><link linkend="grammar.id">id</link></emphasis> [<emphasis><link linkend="grammar.id">id</link></emphasis>]…]</entry>
 153       </row>
 154       <row>
 155         <entry/>
 156         <entry>|</entry>
 157         <entry><link linkend="tac_generalize"><emphasis role="bold">generalize</emphasis></link> <emphasis><link linkend="grammar.pattern">pattern</link></emphasis> [<emphasis role="bold">as</emphasis> <emphasis><link linkend="grammar.id">id</link></emphasis>]</entry>
 158       </row>
 159       <row>
 160         <entry/>
 161         <entry>|</entry>
 162         <entry>
 163           <link linkend="tac_id">
 164             <emphasis role="bold">id</emphasis>
 165           </link>
 166         </entry>
 167       </row>
 168       <row>
 169         <entry/>
 170         <entry>|</entry>
 171         <entry><link linkend="tac_intro"><emphasis role="bold">intro</emphasis></link> [<emphasis><link linkend="grammar.id">id</link></emphasis>]</entry>
 172       </row>
 173       <row>
 174         <entry/>
 175         <entry>|</entry>
 176         <entry><link linkend="tac_intros"><emphasis role="bold">intros</emphasis></link> <emphasis><link linkend="grammar.intros-spec">intros-spec</link></emphasis></entry>
 177       </row>
 178       <row>
 179         <entry/>
 180         <entry>|</entry>
 181         <entry><link linkend="tac_inversion"><emphasis role="bold">inversion</emphasis></link> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis></entry>
 182       </row>
 183       <row>
 184         <entry/>
 185         <entry>|</entry>
 186         <entry>
 187              <link linkend="tac_lapply"><emphasis role="bold">lapply</emphasis></link>
 188              [<emphasis role="bold">linear</emphasis>]
 189              [<emphasis role="bold">depth=</emphasis><emphasis><link linkend="grammar.nat">nat</link></emphasis>]
 190              <emphasis><link linkend="grammar.sterm">sterm</link></emphasis>
 191              [<emphasis role="bold">to</emphasis>
 192               <emphasis><link linkend="grammar.sterm">sterm</link></emphasis>
 193               [<emphasis role="bold">,</emphasis><emphasis><link linkend="grammar.sterm">sterm</link></emphasis>…]
 194              ]
 195              [<emphasis role="bold">as</emphasis> <emphasis><link linkend="grammar.id">id</link></emphasis>]
 196             </entry>
 197       </row>
 198       <row>
 199         <entry/>
 200         <entry>|</entry>
 201         <entry>
 202           <link linkend="tac_left">
 203             <emphasis role="bold">left</emphasis>
 204           </link>
 205         </entry>
 206       </row>
 207       <row>
 208         <entry/>
 209         <entry>|</entry>
 210         <entry><link linkend="tac_letin"><emphasis role="bold">letin</emphasis></link> <emphasis><link linkend="grammar.id">id</link></emphasis> <emphasis role="bold">≝</emphasis> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis></entry>
 211       </row>
 212       <row>
 213         <entry/>
 214         <entry>|</entry>
 215         <entry><link linkend="tac_normalize"><emphasis role="bold">normalize</emphasis></link> <emphasis><link linkend="grammar.pattern">pattern</link></emphasis></entry>
 216       </row>
 217       <row>
 218         <entry/>
 219         <entry>|</entry>
 220         <entry>
 221           <link linkend="tac_reflexivity">
 222             <emphasis role="bold">reflexivity</emphasis>
 223           </link>
 224         </entry>
 225       </row>
 226       <row>
 227         <entry/>
 228         <entry>|</entry>
 229         <entry><link linkend="tac_replace"><emphasis role="bold">replace</emphasis></link> <emphasis><link linkend="grammar.pattern">pattern</link></emphasis> <emphasis role="bold">with</emphasis> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis></entry>
 230       </row>
 231       <row>
 232         <entry/>
 233         <entry>|</entry>
 234         <entry><link linkend="tac_rewrite"><emphasis role="bold">rewrite</emphasis></link> [<emphasis role="bold">&lt;</emphasis>|<emphasis role="bold">&gt;</emphasis>] <emphasis><link linkend="grammar.sterm">sterm</link></emphasis> <emphasis><link linkend="grammar.pattern">pattern</link></emphasis></entry>
 235       </row>
 236       <row>
 237         <entry/>
 238         <entry>|</entry>
 239         <entry>
 240           <link linkend="tac_right">
 241             <emphasis role="bold">right</emphasis>
 242           </link>
 243         </entry>
 244       </row>
 245       <row>
 246         <entry/>
 247         <entry>|</entry>
 248         <entry>
 249           <link linkend="tac_ring">
 250             <emphasis role="bold">ring</emphasis>
 251           </link>
 252         </entry>
 253       </row>
 254       <row>
 255         <entry/>
 256         <entry>|</entry>
 257         <entry><link linkend="tac_simplify"><emphasis role="bold">simplify</emphasis></link> <emphasis><link linkend="grammar.pattern">pattern</link></emphasis></entry>
 258       </row>
 259       <row>
 260         <entry/>
 261         <entry>|</entry>
 262         <entry>
 263           <link linkend="tac_split">
 264             <emphasis role="bold">split</emphasis>
 265           </link>
 266         </entry>
 267       </row>
 268       <row>
 269         <entry/>
 270         <entry>|</entry>
 271         <entry>
 272           <link linkend="tac_subst">
 273             <emphasis role="bold">subst</emphasis>
 274           </link>
 275         </entry>
 276       </row>
 277       <row>
 278         <entry/>
 279         <entry>|</entry>
 280         <entry>
 281           <link linkend="tac_symmetry">
 282             <emphasis role="bold">symmetry</emphasis>
 283           </link>
 284         </entry>
 285       </row>
 286       <row>
 287         <entry/>
 288         <entry>|</entry>
 289         <entry><link linkend="tac_transitivity"><emphasis role="bold">transitivity</emphasis></link> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis></entry>
 290       </row>
 291       <row>
 292         <entry/>
 293         <entry>|</entry>
 294         <entry><link linkend="tac_unfold"><emphasis role="bold">unfold</emphasis></link> [<emphasis><link linkend="grammar.sterm">sterm</link></emphasis>] <emphasis><link linkend="grammar.pattern">pattern</link></emphasis></entry>
 295       </row>
 296       <row>
 297         <entry/>
 298         <entry>|</entry>
 299         <entry><link linkend="tac_whd"><emphasis role="bold">whd</emphasis></link> <emphasis><link linkend="grammar.pattern">pattern</link></emphasis></entry>
 300       </row>
 301     </tbody>
 302   </tgroup>
 303 </table>