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[helm.git] / matita / help / C / declarative_tactics_quickref.xml

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+<table frame="topbot" rowsep="0" colsep="0" role="grammar">
+  <title>tactics</title>
+  <tgroup cols="3">
+    <tbody>
+      <row>
+        <entry id="grammar.declarative_tactic">&tactic;</entry>
+        <entry>::=</entry>
+        <entry><emphasis role="bold">we need to prove</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> </entry>
+      </row>
+      <row>
+        <entry/>
+        <entry>|</entry>
+        <entry><emphasis role="bold">we proceed by induction on</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> <emphasis role="bold"> to prove </emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> </entry>
+      </row>
+      <row>
+        <entry/>
+        <entry>|</entry>
+        <entry><link linkend="tac_assume"><emphasis role="bold">assume</emphasis></link> <emphasis><link linkend="grammar.id">id</link></emphasis> <emphasis role="bold"> : </emphasis> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis></entry>
+      </row>
+      <row>
+        <entry/>
+        <entry>|</entry>
+        <entry><emphasis role="bold">by</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> <emphasis role="bold"> done </emphasis></entry>
+      </row>
+      <row>
+        <entry/>
+        <entry>|</entry>
+        <entry><emphasis role="bold">by induction hypothesis we know</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> <emphasis role="bold"> (</emphasis> <emphasis><link linkend="grammar.id">id</link></emphasis> <emphasis role="bold">)</emphasis></entry>
+      </row>
+      <row>
+        <entry/>
+        <entry>|</entry>
+        <entry><emphasis role="bold">by</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> <emphasis role="bold">we proved</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> 
+                  <emphasis role="bold">(</emphasis> <emphasis><link linkend="grammar.id">id</link></emphasis> <emphasis role="bold">)</emphasis></entry>
+      </row>
+      <row>
+        <entry/>
+        <entry>|</entry>
+        <entry><link linkend="tac_case"><emphasis role="bold">case</emphasis></link> <emphasis><link linkend="grammar.id">id</link></emphasis> <emphasis role="bold">(</emphasis> <emphasis><link linkend="grammar.id">id</link></emphasis> <emphasis role="bold">:</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> <emphasis role="bold">)</emphasis></entry>
+      </row>
+      <row>
+        <entry/>
+        <entry>|</entry>
+        <entry><emphasis role="bold">by</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> <emphasis role="bold">let</emphasis> <emphasis><link linkend="grammar.id">id</link></emphasis> 
+                   <emphasis role="bold">:</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> <emphasis role="bold">such that</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> 
+                    <emphasis role="bold">(</emphasis> <emphasis><link linkend="grammar.id">id</link></emphasis> <emphasis role="bold">)</emphasis></entry>
+      </row>
+      <row>
+        <entry/>
+        <entry>|</entry>
+        <entry>[<emphasis role="bold">obtain</emphasis> <emphasis><link linkend="grammar.id">id</link></emphasis> | <emphasis role="bold">conclude</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis>] <emphasis role="bold">=</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> [<emphasis><link linkend="grammar.autoparams">auto_params</link></emphasis> | <emphasis role="bold">exact</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> | <emphasis role="bold">using</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> | <emphasis role="bold">proof</emphasis>] [<emphasis role="bold">done</emphasis>]</entry>
+      </row>
+      <row>
+        <entry/>
+        <entry>|</entry>
+        <entry><link linkend="tac_suppose"><emphasis role="bold">suppose</emphasis></link> <emphasis><link linkend="grammar.term">term</link></emphasis> <emphasis role="bold"> (</emphasis> <emphasis><link linkend="grammar.id">id</link></emphasis> 
+            <emphasis role="bold">) </emphasis> [ that is equivalent to  <emphasis><link linkend="grammar.term">term</link></emphasis> ]</entry>
+      </row>
+      <row>
+        <entry/>
+        <entry>|</entry>
+        <entry><emphasis role="bold">the thesis becomes</emphasis> <emphasis><link linkend="grammar.sterm">sterm</link></emphasis> </entry>
+      </row>
+      <row>
+        <entry/>
+        <entry>|</entry>
+        <entry><emphasis role="bold">we proceed by cases on </emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> <emphasis role="bold">to prove</emphasis> <emphasis><link linkend="grammar.term">term</link></emphasis> </entry>
+      </row>
+    </tbody>
+  </tgroup>
+</table>