update in groud_2 and models

[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 0fabbbf7ca5f8a68167a62bcaa68334f59363eb3..ebd100a26c408c5a242e0b87d221d43838e78692 100644 (file)
--- a/helm/software/matita/help/C/sec_tactics.xml
+++ b/helm/software/matita/help/C/sec_tactics.xml
@@ -61,7 +61,7 @@
           <term>Pre-conditions:</term>
           <listitem>
             <para><command>t</command> must have type
-             <command>T<subscript>1</subscript> → ... →
+             <command>T<subscript>1</subscript> → … →
               T<subscript>n</subscript> → G</command>
              where <command>G</command> can be unified with the conclusion
              of the current sequent.</para>
@@ -184,7 +184,8 @@
         <varlistentry role="tactic.synopsis">
           <term>Synopsis:</term>
           <listitem>
-            <para><emphasis role="bold">auto</emphasis> &autoparams;</para>
+            <para><emphasis role="bold">auto</emphasis> &autoparams;. </para>
+            <para><emphasis role="bold">autobatch</emphasis> &autoparams;</para>
           </listitem>
         </varlistentry>
         <varlistentry>
@@ -195,7 +196,8 @@
              controlled by the optional <command>params</command>.
              Moreover, only lemmas whose type signature is a subset of the
              signature of the current sequent are considered. The signature of
-             a sequent is ...&TODO;</para>
+             a sequent is essentially the set of constats appearing in it.
+           </para>
           </listitem>
         </varlistentry>
         <varlistentry>
@@ -219,7 +221,7 @@
     <title>cases</title>
     <titleabbrev>cases</titleabbrev>
     <para><userinput>
-     cases t hyps
+     cases t pattern hyps
     </userinput></para>
     <para>
       <variablelist>
@@ -228,7 +230,7 @@
           <listitem>
             <para>
             <emphasis role="bold">cases</emphasis>
-            &term; [<emphasis role="bold">(</emphasis>[&id;]…<emphasis role="bold">)</emphasis>]
+            &term; &pattern; [<emphasis role="bold">(</emphasis>[&id;]…<emphasis role="bold">)</emphasis>]
            </para>
           </listitem>
         </varlistentry>
@@ -247,6 +249,12 @@
             It proceed by cases on <command>t</command>. The new generated
              hypothesis in each branch are named according to
              <command>hyps</command>.
+             The elimintation predicate is restricted by
+             <command>pattern</command>. In particular, if some hypothesis
+             is listed in <command>pattern</command>, the hypothesis is
+             generalized and cleared before proceeding by cases on
+             <command>t</command>. Currently, we only support patterns of the
+             form <command>H<subscript>1</subscript> … H<subscript>n</subscript> ⊢ %</command>. This limitation will be lifted in the future.
            </para>
           </listitem>
         </varlistentry>
@@ -370,15 +378,15 @@
               as if <command>intros hyps</command> was issued.</para>
             <para>If <command>t1:∀x:A.B[x]</command> and
             <command>t2:∀x,y:A.B[x]→B[y]→C[x,y]</command> it generates:
-              <varlistentry>
+             <itemizedlist>
                 <listitem>
-                  <command>λx,y:A.t2 x y (t1 x) : ∀x,y:A.B[y]→C[x,y]</command> 
+                  <para><command>λx,y:A.t2 x y (t1 x) : ∀x,y:A.B[y]→C[x,y]</command></para>
                 </listitem>
                 <listitem>
-                  <command>λx,y:A.λH:B[x].t2 x y H (t1 y) : ∀x,y:A.B[x]→C[x,y]
-                  </command>
+                  <para><command>λx,y:A.λH:B[x].t2 x y H (t1 y) : ∀x,y:A.B[x]→C[x,y]
+                  </command></para>
                 </listitem>
-              </varlistentry>
+             </itemizedlist>
           </para>
           <para>If <command>t2</command> is omitted it composes 
             <command>t1</command>
@@ -597,13 +605,13 @@
   <sect1 id="tac_demodulate">
     <title>demodulate</title>
     <titleabbrev>demodulate</titleabbrev>
-    <para><userinput>demodulate</userinput></para>
+    <para><userinput>demodulate auto_params</userinput></para>
     <para>
       <variablelist>
         <varlistentry role="tactic.synopsis">
           <term>Synopsis:</term>
           <listitem>
-            <para><emphasis role="bold">demodulate</emphasis></para>
+            <para><emphasis role="bold">demodulate</emphasis> &autoparams;</para>
           </listitem>
         </varlistentry>
         <varlistentry>
@@ -670,13 +678,13 @@
   <sect1 id="tac_elim">
     <title>elim</title>
     <titleabbrev>elim</titleabbrev>
-    <para><userinput>elim t using th hyps</userinput></para>
+    <para><userinput>elim t pattern using th hyps</userinput></para>
     <para>
       <variablelist>
         <varlistentry role="tactic.synopsis">
           <term>Synopsis:</term>
           <listitem>
-            <para><emphasis role="bold">elim</emphasis> &sterm; [<emphasis role="bold">using</emphasis> &sterm;] &intros-spec;</para>
+            <para><emphasis role="bold">elim</emphasis> &sterm; &pattern; [<emphasis role="bold">using</emphasis> &sterm;] &intros-spec;</para>
           </listitem>
         </varlistentry>
         <varlistentry>
@@ -693,6 +701,10 @@
           <listitem>
             <para>It proceeds by cases on the values of <command>t</command>,
              according to the elimination principle <command>th</command>.
+             The induction predicate is restricted by
+             <command>pattern</command>. In particular, if some hypothesis
+             is listed in <command>pattern</command>, the hypothesis is
+             generalized and cleared before eliminating <command>t</command>
             </para>
           </listitem>
         </varlistentry>
@@ -1344,40 +1356,6 @@
       </variablelist>
     </para>
   </sect1>
-  <sect1 id="tac_reduce">
-    <title>reduce</title>
-    <titleabbrev>reduce</titleabbrev>
-    <para><userinput>reduce patt</userinput></para>
-    <para>
-      <variablelist>
-        <varlistentry role="tactic.synopsis">
-          <term>Synopsis:</term>
-          <listitem>
-            <para><emphasis role="bold">reduce</emphasis> &pattern;</para>
-          </listitem>
-        </varlistentry>
-        <varlistentry>
-          <term>Pre-conditions:</term>
-          <listitem>
-            <para>None.</para>
-          </listitem>
-        </varlistentry>
-        <varlistentry>
-          <term>Action:</term>
-          <listitem>
-            <para>It replaces all the terms matched by <command>patt</command>
-             with their βδιζ-normal form.</para>
-          </listitem>
-        </varlistentry>
-        <varlistentry>
-          <term>New sequents to prove:</term>
-          <listitem>
-            <para>None.</para>
-          </listitem>
-        </varlistentry>
-      </variablelist>
-    </para>
-  </sect1>
   <sect1 id="tac_reflexivity">
     <title>reflexivity</title>
     <titleabbrev>reflexivity</titleabbrev>