consistent naming of the calculus

[helm.git] / helm / software / matita / help / C / sec_tactics.xml

diff --git a/helm/software/matita/help/C/sec_tactics.xml b/helm/software/matita/help/C/sec_tactics.xml
index 4bba23eb6e22c887d99171a63f6776f76dfdf4b5..fc3681074429c8f29b7d90b975937df1628332ec 100644 (file)
--- a/helm/software/matita/help/C/sec_tactics.xml
+++ b/helm/software/matita/help/C/sec_tactics.xml
@@ -4,7 +4,7 @@
  <title>Tactics</title>
 
   <sect1 id="tac_absurd">
-    <title>absurd &lt;term&gt;</title>
+    <title><emphasis role="bold">absurd</emphasis> &sterm;</title>
     <titleabbrev>absurd</titleabbrev>
     <para><userinput>absurd P</userinput></para>
      <para>
@@ -33,7 +33,7 @@
      </para>
   </sect1>
   <sect1 id="tac_apply">
-    <title>apply &lt;term&gt;</title>
+    <title><emphasis role="bold">apply</emphasis> &sterm;</title>
     <titleabbrev>apply</titleabbrev>
     <para><userinput>apply t</userinput></para>
     <para>
@@ -68,7 +68,7 @@
     </para>
   </sect1>
   <sect1 id="tac_assumption">
-    <title>assumption</title>
+    <title><emphasis role="bold">assumption</emphasis></title>
     <titleabbrev>assumption</titleabbrev>
     <para><userinput>assumption </userinput></para>
     <para>
@@ -96,7 +96,7 @@
     </para>
   </sect1>
   <sect1 id="tac_auto">
-    <title>auto [depth=&lt;int&gt;] [width=&lt;int&gt;] [paramodulation] [full]</title>
+    <title><emphasis role="bold">auto</emphasis> [<emphasis role="bold">depth=</emphasis>&nat;] [<emphasis role="bold">width=</emphasis>&nat;] [<emphasis role="bold">paramodulation</emphasis>] [<emphasis role="bold">full</emphasis>]</title>
     <titleabbrev>auto</titleabbrev>
     <para><userinput>auto depth=d width=w paramodulation full</userinput></para>
     <para>
@@ -130,7 +130,7 @@
     </para>
   </sect1>
   <sect1 id="tac_clear">
-    <title>clear &lt;id&gt;</title>
+    <title><emphasis role="bold">clear</emphasis> &id;</title>
     <titleabbrev>clear</titleabbrev>
     <para><userinput>clear H</userinput></para>
     <para>
@@ -159,7 +159,7 @@
     </para>
   </sect1>
   <sect1 id="tac_clearbody">
-    <title>clearbody &lt;id&gt;</title>
+    <title><emphasis role="bold">clearbody</emphasis> &id;</title>
     <titleabbrev>clearbody</titleabbrev>
     <para><userinput>clearbody H</userinput></para>
     <para>
@@ -188,7 +188,7 @@
     </para>
   </sect1>
   <sect1 id="tac_change">
-    <title>change &lt;pattern&gt; with &lt;term&gt;</title>
+    <title><emphasis role="bold">change</emphasis> &pattern; <emphasis role="bold">with</emphasis> &sterm;</title>
     <titleabbrev>change</titleabbrev>
     <para><userinput>change patt with t</userinput></para>
     <para>
@@ -220,7 +220,7 @@
     </para>
   </sect1>
   <sect1 id="tac_constructor">
-    <title>constructor &lt;int&gt;</title>
+    <title><emphasis role="bold">constructor</emphasis> &nat;</title>
     <titleabbrev>constructor</titleabbrev>
     <para><userinput>constructor n</userinput></para>
     <para>
@@ -252,7 +252,7 @@
     </para>
   </sect1>
   <sect1 id="tac_contradiction">
-    <title>contradiction</title>
+    <title><emphasis role="bold">contradiction</emphasis></title>
     <titleabbrev>contradiction</titleabbrev>
     <para><userinput>contradiction </userinput></para>
     <para>
@@ -281,7 +281,7 @@
     </para>
   </sect1>
   <sect1 id="tac_cut">
-    <title>cut &lt;term&gt; [as &lt;id&gt;]</title>
+    <title><emphasis role="bold">cut</emphasis> &sterm; [<emphasis role="bold">as</emphasis> &id;]</title>
     <titleabbrev>cut</titleabbrev>
     <para><userinput>cut P as H</userinput></para>
     <para>
@@ -312,34 +312,75 @@
     </para>
   </sect1>
   <sect1 id="tac_decompose">
-    <title>decompose [&lt;ident list&gt;] &lt;ident&gt; [&lt;intros_spec&gt;]</title>
+    <title><emphasis role="bold">decompose</emphasis> &id; [&id;]… &intros-spec;</title>
     <titleabbrev>decompose</titleabbrev>
-    <para><userinput>decompose ???</userinput></para>
+    <para><userinput>
+     decompose (T<subscript>1</subscript> ... T<subscript>n</subscript>) H hips
+    </userinput></para>
     <para>
       <variablelist>
         <varlistentry>
           <term>Pre-conditions:</term>
           <listitem>
-            <para>TODO.</para>
+            <para> 
+            <command>H</command> must inhabit one inductive type among  
+            <command>
+             T<subscript>1</subscript> ... T<subscript>n</subscript>
+            </command>
+            and the types of a predefined list.
+           </para>
           </listitem>
         </varlistentry>
         <varlistentry>
           <term>Action:</term>
           <listitem>
-            <para>TODO.</para>
+            <para>
+            Runs <command>elim H hyps</command>, clears H and tries to run
+             itself recursively on each new identifier introduced by 
+            <command>elim</command> in the opened sequents.
+           </para>
           </listitem>
         </varlistentry>
         <varlistentry>
           <term>New sequents to prove:</term>
           <listitem>
-            <para>TODO.</para>
+            <para>
+            The ones generated by all the <command>elim</command> tactics run.
+           </para>
+          </listitem>
+        </varlistentry>
+      </variablelist>
+    </para>
+  </sect1>
+  <sect1 id="tac_demodulation">
+    <title><emphasis role="bold">demodulation</emphasis> &pattern;</title>
+    <titleabbrev>demodulation</titleabbrev>
+    <para><userinput>demodulation patt</userinput></para>
+    <para>
+      <variablelist>
+        <varlistentry>
+          <term>Pre-conditions:</term>
+          <listitem>
+            <para>None.</para>
+          </listitem>
+        </varlistentry>
+        <varlistentry>
+          <term>Action:</term>
+          <listitem>
+            <para>&TODO;</para>
+          </listitem>
+        </varlistentry>
+        <varlistentry>
+          <term>New sequents to prove:</term>
+          <listitem>
+            <para>None.</para>
           </listitem>
         </varlistentry>
       </variablelist>
     </para>
   </sect1>
   <sect1 id="tac_discriminate">
-    <title>discriminate &lt;term&gt;</title>
+    <title><emphasis role="bold">discriminate</emphasis> &sterm;</title>
     <titleabbrev>discriminate</titleabbrev>
     <para><userinput>discriminate p</userinput></para>
     <para>
@@ -368,7 +409,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_elim">
-    <title>elim &lt;term&gt; [using &lt;term&gt;] [&lt;intros_spec&gt;]</title>
+    <title><emphasis role="bold">elim</emphasis> &sterm; [<emphasis role="bold">using</emphasis> &sterm;] &intros-spec;</title>
     <titleabbrev>elim</titleabbrev>
     <para><userinput>elim t using th hyps</userinput></para>
     <para>
@@ -405,7 +446,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_elimType">
-    <title>elimType &lt;term&gt; [using &lt;term&gt;] [&lt;intros_spec&gt;]</title>
+    <title><emphasis role="bold">elimType</emphasis> &sterm; [<emphasis role="bold">using</emphasis> &sterm;] &intros-spec;</title>
     <titleabbrev>elimType</titleabbrev>
     <para><userinput>elimType T using th hyps</userinput></para>
     <para>
@@ -432,7 +473,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_exact">
-    <title>exact &lt;term&gt;</title>
+    <title><emphasis role="bold">exact</emphasis> &sterm;</title>
     <titleabbrev>exact</titleabbrev>
     <para><userinput>exact p</userinput></para>
     <para>
@@ -460,7 +501,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_exists">
-    <title>exists</title>
+    <title><emphasis role="bold">exists</emphasis></title>
     <titleabbrev>exists</titleabbrev>
     <para><userinput>exists </userinput></para>
     <para>
@@ -491,8 +532,8 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_fail">
-    <title>fail </title>
-    <titleabbrev>failt</titleabbrev>
+    <title><emphasis role="bold">fail</emphasis></title>
+    <titleabbrev>fail</titleabbrev>
     <para><userinput>fail</userinput></para>
     <para>
       <variablelist>
@@ -518,7 +559,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_fold">
-    <title>fold &lt;reduction_kind&gt; &lt;term&gt; &lt;pattern&gt;</title>
+    <title><emphasis role="bold">fold</emphasis> &reduction-kind; &sterm; &pattern;</title>
     <titleabbrev>fold</titleabbrev>
     <para><userinput>fold red t patt</userinput></para>
     <para>
@@ -550,7 +591,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_fourier">
-    <title>fourier</title>
+    <title><emphasis role="bold">fourier</emphasis></title>
     <titleabbrev>fourier</titleabbrev>
     <para><userinput>fourier </userinput></para>
     <para>
@@ -580,7 +621,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_fwd">
-    <title>fwd &lt;ident&gt; [&lt;ident list&gt;]</title>
+    <title><emphasis role="bold">fwd</emphasis> &id; [<emphasis role="bold">(</emphasis>[&id;]…<emphasis role="bold">)</emphasis>]</title>
     <titleabbrev>fwd</titleabbrev>
     <para><userinput>fwd ...TODO</userinput></para>
     <para>
@@ -607,7 +648,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_generalize">
-    <title>generalize &lt;pattern&gt; [as &lt;id&gt;]</title>
+    <title><emphasis role="bold">generalize</emphasis> &pattern; [<emphasis role="bold">as</emphasis> &id;]</title>
     <titleabbrev>generalize</titleabbrev>
     <para><userinput>generalize patt as H</userinput></para>
     <para>
@@ -643,7 +684,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_id">
-    <title>id</title>
+    <title><emphasis role="bold">id</emphasis></title>
     <titleabbrev>id</titleabbrev>
     <para><userinput>id </userinput></para>
     <para>
@@ -670,8 +711,8 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_injection">
-    <title>injection &lt;term&gt;</title>
-    <titleabbrev>injection</titleabbrev>
+    <title><emphasis role="bold">injection</emphasis> &sterm;</title>
+    <titleabbrev><emphasis role="bold">injection</emphasis></titleabbrev>
     <para><userinput>injection p</userinput></para>
     <para>
       <variablelist>
@@ -701,7 +742,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_intro">
-    <title>intro [&lt;ident&gt;]</title>
+    <title><emphasis role="bold">intro</emphasis> [&id;]</title>
     <titleabbrev>intro</titleabbrev>
     <para><userinput>intro H</userinput></para>
     <para>
@@ -734,7 +775,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_intros">
-    <title>intros &lt;intros_spec&gt;</title>
+    <title><emphasis role="bold">intros</emphasis> &intros-spec;</title>
     <titleabbrev>intros</titleabbrev>
     <para><userinput>intros hyps</userinput></para>
     <para>
@@ -771,7 +812,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_inversion">
-    <title>inversion &lt;term&gt;</title>
+    <title><emphasis role="bold">inversion</emphasis> &sterm;</title>
     <titleabbrev>inversion</titleabbrev>
     <para><userinput>inversion t</userinput></para>
     <para>
@@ -806,9 +847,12 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_lapply">
-    <title>lapply [depth=&lt;int&gt;] &lt;term&gt; [to &lt;term list] [using &lt;ident&gt;]</title>
+    <title><emphasis role="bold">lapply</emphasis> [<emphasis role="bold">depth=</emphasis>&nat;] &sterm; [<emphasis role="bold">to</emphasis> &sterm; [&sterm;]…] [<emphasis role="bold">using</emphasis> &id;]</title>
     <titleabbrev>lapply</titleabbrev>
-    <para><userinput>lapply ???</userinput></para>
+    <para><userinput>
+     lapply depth=d t 
+     to t<subscript>1</subscript>, ..., t<subscript>n</subscript> using H
+    </userinput></para>
     <para>
       <variablelist>
         <varlistentry>
@@ -833,7 +877,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_left">
-    <title>left</title>
+    <title><emphasis role="bold">left</emphasis></title>
     <titleabbrev>left</titleabbrev>
     <para><userinput>left </userinput></para>
     <para>
@@ -864,7 +908,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_letin">
-    <title>letin &lt;ident&gt; ≝ &lt;term&gt;</title>
+    <title><emphasis role="bold">letin</emphasis> &id; <emphasis role="bold">≝</emphasis> &sterm;</title>
     <titleabbrev>letin</titleabbrev>
     <para><userinput>letin x ≝ t</userinput></para>
     <para>
@@ -892,7 +936,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_normalize">
-    <title>normalize &lt;pattern&gt;</title>
+    <title><emphasis role="bold">normalize</emphasis> &pattern;</title>
     <titleabbrev>normalize</titleabbrev>
     <para><userinput>normalize patt</userinput></para>
     <para>
@@ -920,7 +964,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_paramodulation">
-    <title>paramodulation &lt;pattern&gt;</title>
+    <title><emphasis role="bold">paramodulation</emphasis> &pattern;</title>
     <titleabbrev>paramodulation</titleabbrev>
     <para><userinput>paramodulation patt</userinput></para>
     <para>
@@ -947,7 +991,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_reduce">
-    <title>reduce &lt;pattern&gt;</title>
+    <title><emphasis role="bold">reduce</emphasis> &pattern;</title>
     <titleabbrev>reduce</titleabbrev>
     <para><userinput>reduce patt</userinput></para>
     <para>
@@ -975,7 +1019,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_reflexivity">
-    <title>reflexivity</title>
+    <title><emphasis role="bold">reflexivity</emphasis></title>
     <titleabbrev>reflexivity</titleabbrev>
     <para><userinput>reflexivity </userinput></para>
     <para>
@@ -1004,7 +1048,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_replace">
-    <title>replace &lt;pattern&gt; with &lt;term&gt;</title>
+    <title><emphasis role="bold">replace</emphasis> &pattern; <emphasis role="bold">with</emphasis> &sterm;</title>
     <titleabbrev>change</titleabbrev>
     <para><userinput>change patt with t</userinput></para>
     <para>
@@ -1036,7 +1080,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_rewrite">
-    <title>rewrite {&lt;|&gt;} &lt;term&gt; &lt;pattern&gt;</title>
+    <title><emphasis role="bold">rewrite</emphasis> [<emphasis role="bold">&lt;</emphasis>|<emphasis role="bold">&gt;</emphasis>] &sterm; &pattern;</title>
     <titleabbrev>rewrite</titleabbrev>
     <para><userinput>rewrite dir p patt</userinput></para>
     <para>
@@ -1071,7 +1115,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_right">
-    <title>right</title>
+    <title><emphasis role="bold">right</emphasis></title>
     <titleabbrev>right</titleabbrev>
     <para><userinput>right </userinput></para>
     <para>
@@ -1102,7 +1146,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_ring">
-    <title>ring</title>
+    <title><emphasis role="bold">ring</emphasis></title>
     <titleabbrev>ring</titleabbrev>
     <para><userinput>ring </userinput></para>
     <para>
@@ -1133,7 +1177,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_simplify">
-    <title>simplify &lt;pattern&gt;</title>
+    <title><emphasis role="bold">simplify</emphasis> &pattern;</title>
     <titleabbrev>simplify</titleabbrev>
     <para><userinput>simplify patt</userinput></para>
     <para>
@@ -1161,7 +1205,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_split">
-    <title>split</title>
+    <title><emphasis role="bold">split</emphasis></title>
     <titleabbrev>split</titleabbrev>
     <para><userinput>split </userinput></para>
     <para>
@@ -1192,7 +1236,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_symmetry">
-    <title>symmetry</title>
+    <title><emphasis role="bold">symmetry</emphasis></title>
     <titleabbrev>symmetry</titleabbrev>
     <para>The tactic <command>symmetry</command> </para>
     <para><userinput>symmetry </userinput></para>
@@ -1221,7 +1265,7 @@ its constructor takes no arguments.</para>
     </para>
   </sect1>
   <sect1 id="tac_transitivity">
-    <title>transitivity &lt;term&gt;</title>
+    <title><emphasis role="bold">transitivity</emphasis> &sterm;</title>
     <titleabbrev>transitivity</titleabbrev>
     <para><userinput>transitivity t</userinput></para>
     <para>
@@ -1250,7 +1294,7 @@ the current sequent to prove.</para>
     </para>
   </sect1>
   <sect1 id="tac_unfold">
-    <title>unfold [&lt;term&gt;] &lt;pattern&gt;</title>
+    <title><emphasis role="bold">unfold</emphasis> [&sterm;] &pattern;</title>
     <titleabbrev>unfold</titleabbrev>
     <para><userinput>unfold t patt</userinput></para>
     <para>
@@ -1282,7 +1326,7 @@ the current sequent to prove.</para>
     </para>
   </sect1>
   <sect1 id="tac_whd">
-    <title>whd &lt;pattern&gt;</title>
+    <title><emphasis role="bold">whd</emphasis> &pattern;</title>
     <titleabbrev>whd</titleabbrev>
     <para><userinput>whd patt</userinput></para>
     <para>