X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fstyle%2Fproofs.xsl;h=78efb9cb18ecd64775f9bb6ba16e8f73374f9f20;hb=edeecdcf2cb51318a7d4c608652f4f988e80f66f;hp=3b653ad15aa38b1f64713976d8a901a61c4fec59;hpb=92e006b92f453568bdbca000992f064079d86536;p=helm.git

diff --git a/helm/style/proofs.xsl b/helm/style/proofs.xsl
index 3b653ad15..78efb9cb1 100644
--- a/helm/style/proofs.xsl
+++ b/helm/style/proofs.xsl
@@ -1,8 +1,32 @@
 <?xml version="1.0"?>
 
+<!-- Copyright (C) 2000, HELM Team                                     -->
+<!--                                                                   -->
+<!-- This file is part of HELM, an Hypertextual, Electronic            -->
+<!-- Library of Mathematics, developed at the Computer Science         -->
+<!-- Department, University of Bologna, Italy.                         -->
+<!--                                                                   -->
+<!-- HELM is free software; you can redistribute it and/or             -->
+<!-- modify it under the terms of the GNU General Public License       -->
+<!-- as published by the Free Software Foundation; either version 2    -->
+<!-- of the License, or (at your option) any later version.            -->
+<!--                                                                   -->
+<!-- HELM is distributed in the hope that it will be useful,           -->
+<!-- but WITHOUT ANY WARRANTY; without even the implied warranty of    -->
+<!-- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the     -->
+<!-- GNU General Public License for more details.                      -->
+<!--                                                                   -->
+<!-- You should have received a copy of the GNU General Public License -->
+<!-- along with HELM; if not, write to the Free Software               -->
+<!-- Foundation, Inc., 59 Temple Place - Suite 330, Boston,            -->
+<!-- MA  02111-1307, USA.                                              -->
+<!--                                                                   -->
+<!-- For details, see the HELM World-Wide-Web page,                    -->
+<!-- http://cs.unibo.it/helm/.                                         -->
+
 <!--******************************************************************--> 
 <!-- Basic Logic                                                      -->
-<!-- First draft: April 3 2000                                        -->
+<!-- (completely) Revisited: february 2001, Andrea Asperti            -->
 <!-- HELM Group: Asperti, Padovani, Sacerdoti, Schena                 -->
 <!--******************************************************************-->
 
@@ -10,244 +34,527 @@
                               xmlns:m="http://www.w3.org/1998/Math/MathML"
                               xmlns:helm="http://www.cs.unibo.it/helm">
 
-<!--******************************************************************-->
-<!-- Variable containing the absolute path of the CIC file            -->
-<!--******************************************************************-->
-
-<xsl:variable name="absPath">http://localhost:8081/getciconly?uri=</xsl:variable>
+<xsl:include href="logic.xsl"/>
+<xsl:include href="inductive.xsl"/>
+<xsl:include href="rewrite.xsl"/>
+<xsl:include href="diseq.xsl"/>
 
 <!-- ************************* LOGIC *********************************-->
 
 <!-- Proof objects -->
 
 <!-- <xsl:key name="typeid" use="@of" match="TYPE"/> -->
+<xsl:key name="typeid" use="@of" match="TYPE"/>
 
-<xsl:template match="PROD|REL|SORT|VAR|META|CONST|MUTIND|MUTCONSTRUCT" mode="noannot">
-<xsl:apply-templates select="." mode="pure"/>
+<!-- These elements do not have inner type -->
+<xsl:template match="PROD|SORT|MUTIND|instantiate" mode="noannot">
+ <xsl:apply-templates select="." mode="pure"/>
 </xsl:template>
 
-<xsl:template match="LAMBDA|CAST|APPLY|MUTCASE|FIX|COFIX" mode="noannot">
-    <xsl:variable name="id" select="@id"/>
-    <xsl:choose>
-     <!-- <xsl:when test="//InnerTypes and key('typeid',@id)"> -->
-     <!-- <xsl:when test="//InnerTypes/TYPE[@of=$id]"> -->
-     <xsl:when test="@sort='Prop'">
-     <xsl:choose>
-      <xsl:when test="name()= 'APPLY' and CONST[
- attribute::uri='cic:/Coq/Init/Logic_Type/eqT_ind.con' or
- attribute::uri='cic:/Coq/Zarith/auxiliary/eqT_ind_r.con'] and count(child::*) = 7">
-       <m:apply helm:xref="{@id}">
-        <m:csymbol>thread</m:csymbol>
-        <xsl:apply-templates mode="pure" select="//InnerTypes/TYPE[@of=$id]"/>
-        <m:apply>
-         <m:csymbol>rw_step</m:csymbol>
-         <xsl:apply-templates mode="pure" select="*[3]"/>
-         <xsl:apply-templates mode="pure" select="*[6]"/>
-         <xsl:apply-templates mode="pure" select="*[7]"/>
-        </m:apply>
-        <xsl:apply-templates mode="thread" select="*[5]"/>
-       </m:apply>
-      </xsl:when>
-      <!-- aggiungere la verifica dell'esistenza dei lambda per and_ind -->
-      <xsl:when test="name()= 'APPLY' and CONST[
- attribute::uri='cic:/Coq/Init/Logic/Conjunction/and_ind.con'] 
- and count(child::*) = 6">
-       <m:apply helm:xref="{@id}">
-        <m:csymbol>and_ind</m:csymbol>
-        <xsl:apply-templates mode="noannot" select="*[6]"/>
-        <m:ci><xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="*[5]/target/@binder"/></xsl:with-param></xsl:call-template></m:ci>
-        <xsl:apply-templates mode="pure" select="*[5]/source/*"/>
-        <m:ci><xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="*[5]/target/LAMBDA/target/@binder"/></xsl:with-param></xsl:call-template></m:ci>
-        <xsl:apply-templates mode="pure" select="*[5]/target/LAMBDA/source/*"/>
-        <xsl:apply-templates mode="noannot" select="*[5]/target/LAMBDA/target/*"/>
-       </m:apply>
-      </xsl:when>
-      <xsl:when test="name()= 'APPLY' and CONST[
- attribute::uri='cic:/Coq/Init/Logic/Disjunction/or_ind.con'] 
- and count(child::*) = 7">
-       <m:apply helm:xref="{@id}">
-        <m:csymbol>or_ind</m:csymbol>
-        <xsl:apply-templates mode="noannot" select="*[7]"/>
-        <xsl:apply-templates mode="pure" select="//InnerTypes/TYPE[@of=$id]"/>
-        <xsl:apply-templates mode="pure" select="*[5]"/>
-        <xsl:apply-templates mode="pure" select="*[6]"/>
-       </m:apply>
-      </xsl:when>
-      <xsl:when test="count(*[@id = //InnerTypes/TYPE/@of]) = 1">
-       <m:apply helm:xref="{@id}">
-        <m:csymbol>thread</m:csymbol>
-        <xsl:apply-templates mode="pure" select="//InnerTypes/TYPE[@of=$id]"/>
-        <m:apply>
-         <m:csymbol>app</m:csymbol>
-         <xsl:apply-templates mode="copy-of-no-prop" select="*[1]"/>
-        </m:apply>
-        <xsl:apply-templates mode="thread" select="*[@id = //InnerTypes/TYPE/@of]"/>
-       </m:apply>
-      </xsl:when>
-      <xsl:otherwise>
-       <m:apply helm:xref="{@id}">
-        <m:csymbol>proof</m:csymbol>
-        <xsl:apply-templates select="." mode="pure"/>
-        <!-- <xsl:apply-templates select="key('typeid',@id)" mode="pure"/> -->
-        <xsl:apply-templates select="//InnerTypes/TYPE[@of=$id]" mode="pure"/>
-       </m:apply>
-      </xsl:otherwise>
-     </xsl:choose>
-     </xsl:when>
-     <xsl:otherwise>
-      <xsl:apply-templates select="." mode="pure"/>
-     </xsl:otherwise>
-    </xsl:choose>
+<!-- Atomic elements that have an inner type iff the expected type -->
+<!-- is different from the synthesized type.                       -->
+<xsl:template match="REL|VAR|META|CONST|MUTCONSTRUCT" mode="noannot">
+ <xsl:variable name="id" select="@id"/>
+ <xsl:variable name="innertype_available">
+  <xsl:for-each select="$InnerTypes">
+   <xsl:if test="key('typeid',$id)/*">
+    <xsl:text>yes</xsl:text>
+   </xsl:if>
+  </xsl:for-each>
+ </xsl:variable>
+ <xsl:choose>
+  <xsl:when test="$naturalLanguage='yes' and @sort='Prop' and $innertype_available='yes'">
+   <!--xsl:when test="@sort='Prop'"-->
+   <m:apply helm:xref="{@id}">
+    <m:csymbol>proof</m:csymbol>
+    <xsl:apply-templates mode="proof_transform" select="."/>
+    <xsl:for-each select="$InnerTypes">
+     <xsl:apply-templates mode="pure" select="key('typeid',$id)/*"/>
+    </xsl:for-each>
+   </m:apply>
+  </xsl:when>
+  <xsl:otherwise>
+   <xsl:apply-templates select="." mode="pure"/>
+  </xsl:otherwise>
+ </xsl:choose>
 </xsl:template>
 
-<xsl:template match="*" mode="copy-of-no-prop">
+<!-- ALL ELEMENTS WITH A TYPE ARE TRANSLATED AS A PROOF-ELEMENT -->
+
+<xsl:template match="LAMBDA" mode="noannot">
  <xsl:choose>
-  <xsl:when test="@id = //InnerTypes/TYPE/@of">
-   <m:ci>previous</m:ci>
+  <xsl:when test="@sort='Prop'">
+   <xsl:apply-templates select="*[1]" mode="lambda_prop"/>
   </xsl:when>
   <xsl:otherwise>
-   <xsl:apply-templates select="." mode="pure"/>
+   <!-- mode lambda is defined in content.xsl -->
+   <xsl:apply-templates select="*[1]" mode="lambda"/>
   </xsl:otherwise>
  </xsl:choose>
- <xsl:apply-templates mode="copy-of-no-prop" select="following-sibling::*[1]"/>
 </xsl:template>
 
-<xsl:template match="*" mode="thread">
-  <xsl:choose>
-   <xsl:when test="name()= 'APPLY' and CONST[
- attribute::uri='cic:/Coq/Init/Logic_Type/eqT_ind.con' or
- attribute::uri='cic:/Coq/Zarith/auxiliary/eqT_ind_r.con'] and count(child::*) = 7">
-    <xsl:variable name="id" select="@id"/>
-     <xsl:apply-templates mode="pure" select="//InnerTypes/TYPE[@of=$id]"/>
-     <m:apply>
-      <m:csymbol>rw_step</m:csymbol>
-      <xsl:apply-templates mode="pure" select="*[3]"/>
-      <xsl:apply-templates mode="pure" select="*[6]"/>
-      <xsl:apply-templates mode="pure" select="*[7]"/>
-     </m:apply>
-     <xsl:apply-templates mode="thread" select="*[5]"/>
-   </xsl:when>
-<!--**** Patch temporanea, per il problema dei threads ***-->
-<xsl:when test="(name()= 'APPLY' and CONST[
- attribute::uri='cic:/Coq/Init/Logic/Conjunction/and_ind.con'] 
- and count(child::*) = 6) or
-(name()= 'APPLY' and CONST[
- attribute::uri='cic:/Coq/Init/Logic/Disjunction/or_ind.con'] 
- and count(child::*) = 7)">
- <xsl:apply-templates mode="noannot" select="."/>
-</xsl:when>
-<!--**** Fine Patch temporanea, per il problema dei threads ***-->
-   <xsl:when test="count(*[@id = //InnerTypes/TYPE/@of]) = 1">
-       <xsl:variable name="id" select="@id"/>
-       <m:apply helm:xref="{@id}">
-        <m:csymbol>thread</m:csymbol>
-        <xsl:apply-templates mode="pure" select="//InnerTypes/TYPE[@of=$id]"/>
-        <m:apply>
-         <m:csymbol>app</m:csymbol>
-         <xsl:apply-templates mode="copy-of-no-prop" select="*[1]"/>
-        </m:apply>
-        <xsl:apply-templates mode="thread" select="*[@id = //InnerTypes/TYPE/@of]"/>
-       </m:apply>
-   </xsl:when>
-   <xsl:otherwise>
-    <xsl:apply-templates mode="noannot" select="."/>
-   </xsl:otherwise>
-  </xsl:choose>
+<xsl:template match="decl" mode="lambda_prop">
+ <xsl:variable name="id" select="@id"/>
+ <xsl:variable name="innertype_available">
+  <xsl:for-each select="$InnerTypes">
+   <xsl:if test="key('typeid',$id)/*">
+    <xsl:text>yes</xsl:text>
+   </xsl:if>
+  </xsl:for-each>
+ </xsl:variable>
+ <xsl:choose>
+  <xsl:when test="$naturalLanguage='yes' and $innertype_available='yes'">
+   <m:apply helm:xref="{@id}">
+    <m:csymbol>proof</m:csymbol>
+    <m:lambda helm:xref="{@id}">
+     <m:bvar>
+      <m:ci>
+       <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="@binder"/></xsl:with-param></xsl:call-template>
+      </m:ci>
+      <m:type>
+       <xsl:apply-templates select="*[1]" mode="noannot"/>
+      </m:type>
+     </m:bvar>
+     <xsl:apply-templates select="following-sibling::*[1]" mode="lambda_prop"/>
+    </m:lambda>
+    <xsl:for-each select="$InnerTypes">
+     <xsl:apply-templates mode="pure" select="key('typeid',$id)/*"/>
+    </xsl:for-each>
+   </m:apply>
+  </xsl:when>
+  <xsl:otherwise>
+   <m:lambda helm:xref="{@id}">
+    <m:bvar>
+     <m:ci>
+      <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="@binder"/></xsl:with-param></xsl:call-template> 
+     </m:ci>
+     <m:type>
+      <xsl:apply-templates select="*[1]" mode="noannot"/>
+     </m:type>
+    </m:bvar>
+    <xsl:apply-templates select="following-sibling::*[1]" mode="lambda_prop"/>
+   </m:lambda>
+  </xsl:otherwise>
+ </xsl:choose>
 </xsl:template>
 
+<xsl:template match="target" mode="lambda_prop">
+ <xsl:apply-templates select="*[1]" mode="noannot"/>
+</xsl:template>
 
-<!-- Basic proof operators -->
+<!-- LETIN -->
 
-<!-- non del tutto soddisfacente, ma .... -->
-<xsl:template match="APPLY[CONST[
- attribute::uri='cic:/Coq/Init/Logic_Type/eqT_ind.con' or
- attribute::uri='cic:/Coq/Zarith/auxiliary/eqT_ind_r.con']]" mode="appflat">
-    <xsl:choose>
-     <xsl:when test="count(child::*) > 7">
-      <xsl:variable name="id" select="@id"/>
-      <xsl:variable name="ideqp" select="*[7]/@id"/>
-      <xsl:variable name="idsubp" select="*[5]/@id"/>
-      <xsl:variable name="leteqp" select="boolean(//InnerTypes/TYPE[@of=$ideqp])"/>
-      <xsl:variable name="letsubp" select="boolean(//InnerTypes/TYPE[@of=$idsubp])"/>
-      <m:apply helm:xref="{@id}">
-       <m:csymbol>rewrite_and_apply</m:csymbol>
-       <m:apply>
-        <m:csymbol>rw_step</m:csymbol>
-        <xsl:apply-templates mode="pure" select="*[3]"/>
-        <xsl:apply-templates mode="pure" select="*[6]"/>
-        <xsl:choose>
-         <xsl:when test="$leteqp">
-          <xsl:choose>
-           <xsl:when test="$letsubp">
-            <m:ci>
-             <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="'h2'"/></xsl:with-param></xsl:call-template>
-            </m:ci>
-           </xsl:when>
-           <xsl:otherwise>
-            <m:ci>
-             <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="'h1'"/></xsl:with-param></xsl:call-template>
-            </m:ci>
-           </xsl:otherwise>
-          </xsl:choose>
-         </xsl:when>
-         <xsl:otherwise>
-          <xsl:apply-templates mode="pure" select="*[7]"/>
-         </xsl:otherwise>
-        </xsl:choose>
-       </m:apply>
-      <xsl:choose>
-       <xsl:when test="$letsubp">
-        <m:ci>
-         <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="'h1'"/></xsl:with-param></xsl:call-template>
-        </m:ci>
-       </xsl:when>
-       <xsl:otherwise>
-        <xsl:apply-templates mode="pure" select="*[5]"/>
-       </xsl:otherwise>
-      </xsl:choose>
-      <xsl:apply-templates mode="flat" select="*[8]">
-       <xsl:with-param name="n">
-        <xsl:value-of select="1+$letsubp+$leteqp"/>
-       </xsl:with-param>
-      </xsl:apply-templates>
-     </m:apply>
+<xsl:template match="LETIN" mode="noannot">
+ <xsl:choose>
+  <xsl:when test="@sort='Prop'">
+   <xsl:apply-templates select="*[1]" mode="letin_prop"/>
+  </xsl:when>
+  <xsl:otherwise>
+   <!-- mode letin is defined in content.xsl -->
+   <xsl:apply-templates select="*[1]" mode="letin_pure"/>
+  </xsl:otherwise>
+ </xsl:choose>
+</xsl:template>
+
+<xsl:template match="def" mode="letin_prop">
+ <xsl:variable name="id" select="@id"/>
+ <xsl:variable name="innertype_available">
+  <xsl:for-each select="$InnerTypes">
+   <xsl:if test="key('typeid',$id)/*">
+    <xsl:text>yes</xsl:text>
+   </xsl:if>
+  </xsl:for-each>
+ </xsl:variable>
+ <xsl:choose>
+  <xsl:when test="$naturalLanguage='yes' and $innertype_available='yes'">
+   <m:apply helm:xref="{@id}">
+    <m:csymbol>proof</m:csymbol>
+    <m:apply helm:xref="{@id}">
+     <m:csymbol>let_in</m:csymbol>
+     <m:bvar>
+      <m:ci>
+       <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="@binder"/></xsl:with-param></xsl:call-template>
+      </m:ci>
+     </m:bvar>
+     <xsl:apply-templates select="*[1]" mode="noannot"/>
+     <xsl:apply-templates select="following-sibling::*[1]" mode="letin_prop"/>
+    </m:apply>
+    <xsl:for-each select="$InnerTypes">
+     <xsl:apply-templates mode="pure" select="key('typeid',$id)/*"/>
+    </xsl:for-each>
+   </m:apply>
+  </xsl:when>
+  <xsl:otherwise>
+   <m:apply helm:xref="{@id}">
+    <m:csymbol>let_in</m:csymbol>
+    <m:bvar>
+     <m:ci>
+      <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="@binder"/></xsl:with-param></xsl:call-template> 
+     </m:ci>
+    </m:bvar>
+    <xsl:apply-templates select="*[1]" mode="noannot"/>
+    <xsl:apply-templates select="following-sibling::*[1]" mode="letin_prop"/>
+   </m:apply>
+  </xsl:otherwise>
+ </xsl:choose>
+</xsl:template>
+
+<xsl:template match="target" mode="letin_prop">
+ <xsl:apply-templates select="*[1]" mode="noannot"/>
+</xsl:template>
+
+<!-- ALL these elements have inner type -->
+<xsl:template match="CAST|APPLY|MUTCASE|FIX|COFIX" mode="noannot">
+ <xsl:variable name="id" select="@id"/>
+ <xsl:choose>
+  <xsl:when test="$naturalLanguage='yes' and @sort='Prop'">
+   <m:apply helm:xref="{@id}">
+    <m:csymbol>proof</m:csymbol>
+    <xsl:apply-templates mode="proof_transform" select="."/>
+    <xsl:for-each select="$InnerTypes">
+     <xsl:apply-templates mode="pure" select="key('typeid',$id)/*"/>
+    </xsl:for-each>
+   </m:apply>
+  </xsl:when>
+  <xsl:otherwise>
+   <xsl:choose>
+    <xsl:when test="name()='APPLY'">
+     <!-- This is the case of an applicative expression wich is not
+          a proof but could contains proofs...
+          MODE LETIN OR MODE PURE ??? Big question -->
+     <xsl:apply-templates select="." mode="pure"/>
     </xsl:when>
     <xsl:otherwise>
+     <xsl:apply-templates select="." mode="pure"/>
+    </xsl:otherwise>
+   </xsl:choose>
+  </xsl:otherwise>
+ </xsl:choose>
+</xsl:template>
+
+<xsl:template mode="proof_transform" match="*">
+ <xsl:choose>
+  <xsl:when test="name()='APPLY'">
+   <xsl:variable name="id" select="@id"/>
+   <xsl:choose>
+    <xsl:when test="name(*[1])='CONST'">
+     <xsl:apply-templates mode="try_inductive" select="."/>
+    </xsl:when>
+    <!-- patch temporanea per la gestione di redex -->
+    <xsl:when test="name(*[1])='LAMBDA' and count(child::*)=2">
+    <!-- old
+         and *[2]/@sort='Prop'"> -->
      <m:apply helm:xref="{@id}">
-      <m:csymbol>app</m:csymbol>
-      <xsl:apply-templates mode="flat" select="*[1]"/>
+      <m:csymbol>let_in</m:csymbol>
+      <m:bvar>
+       <m:ci>
+        <xsl:call-template name="insert_subscript">
+         <xsl:with-param name="node_value">
+          <xsl:value-of select="*[1]/*[1]/@binder"/>
+         </xsl:with-param>
+        </xsl:call-template>
+       </m:ci>
+      </m:bvar>
+      <xsl:apply-templates mode="noannot" select="*[2]"/>
+      <xsl:apply-templates mode="proof_transform" select="*[1]/target/*[1]"/>
      </m:apply>
+    </xsl:when>
+    <xsl:otherwise>
+     <xsl:apply-templates select="." mode="letin"/>
     </xsl:otherwise>
    </xsl:choose>
-</xsl:template> 
+  </xsl:when>
+  <xsl:otherwise>
+   <xsl:apply-templates select="." mode="pure"/>
+  </xsl:otherwise>
+ </xsl:choose>
+</xsl:template>
+
+<xsl:template name="is_simple">
+ <xsl:param name="proof" select="/.."/>
+ <xsl:value-of select="(count($proof/*)=0) or ((name($proof)='APPLY') and (count($proof/*[@sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')]) = 0))"/>
+</xsl:template>
 
-<xsl:template match="APPLY[CONST[
- attribute::uri='cic:/Coq/Init/Logic/Conjunction/and_ind.con']]" mode="appflat">
+<xsl:template name="generate_side_proof">
+ <xsl:param name="proof" select="/.."/>
+ <xsl:param name="show_statement" select="1"/>
+<!-- 
+ <xsl:variable name="is_simple">
+  <xsl:call-template name="is_simple">
+   <xsl:with-param name="proof" select="$proof"/>
+  </xsl:call-template>
+ </xsl:variable> -->
+<xsl:variable name="is_simple" select="(count($proof/*)=0) or ((name($proof)='APPLY') and (count($proof/*[@sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')]) = 0))"/>
+ <xsl:choose>
+  <xsl:when test="$is_simple">
+   <xsl:choose>
+    <xsl:when test="name($proof)='APPLY'">
+     <xsl:apply-templates select="$proof" mode="letin"/>
+    </xsl:when>
+    <xsl:otherwise>
+     <xsl:apply-templates select="$proof" mode="pure"/>
+    </xsl:otherwise>
+   </xsl:choose>
+  </xsl:when>
+  <xsl:otherwise>
+   <xsl:variable name="id" select="@id"/>
+   <m:apply helm:xref="{@id}">
     <xsl:choose>
-     <xsl:when test="count(child::*) > 4">
+     <xsl:when test="$show_statement = 1">
+      <m:csymbol>proof</m:csymbol>
+     </xsl:when>
+     <xsl:otherwise>
+      <m:csymbol>side_proof</m:csymbol>
+     </xsl:otherwise>
+    </xsl:choose>
+    <xsl:apply-templates mode="proof_transform" select="$proof"/>
+    <xsl:for-each select="$InnerTypes">
+     <xsl:apply-templates mode="pure" select="key('typeid',$proof/@id)/*"/>
+    </xsl:for-each>
+   </m:apply>
+   <!-- <xsl:apply-templates select="$proof" mode="noannot"/> -->
+  </xsl:otherwise>
+ </xsl:choose>
+</xsl:template>
+
+<xsl:template match="APPLY" mode="letin">
+   <xsl:variable name="no_subproofs">
+    <xsl:variable name="stars">
+     <xsl:for-each select="*[@sort='Prop']">
+      <xsl:variable name="id" select="@id"/>
+      <xsl:variable name="innertype_available">
+       <xsl:for-each select="$InnerTypes">
+        <xsl:if test="key('typeid',$id)/*">
+         <xsl:text>yes</xsl:text>
+        </xsl:if>
+       </xsl:for-each>
+      </xsl:variable>
+      <xsl:if test="name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX' or ((name(.)='REL' or name(.)='VAR' or name(.)='META' or name(.)='CONST' or name(.)='MUTCONSTRUCT') and $innertype_available='yes')">
+       <!-- We generate one star for each subproof -->
+       <xsl:text>*</xsl:text>
+      </xsl:if>
+     </xsl:for-each>
+    </xsl:variable>
+    <xsl:value-of select="string-length($stars)"/>
+   </xsl:variable>
+   <!-- <m:cn><xsl:value-of select="$no_subproofs"/></m:cn> -->
+   <xsl:choose>
+    <xsl:when test="$naturalLanguage='yes' and ($no_subproofs = 1)">
+     <m:apply helm:xref="{@id}">
+      <m:csymbol>letin1</m:csymbol>
+      <xsl:for-each select="*[@sort='Prop']">
+       <xsl:variable name="id" select="@id"/>
+       <xsl:variable name="innertype_available">
+        <xsl:for-each select="$InnerTypes">
+         <xsl:if test="key('typeid',$id)/*">
+          <xsl:text>yes</xsl:text>
+         </xsl:if>
+        </xsl:for-each>
+       </xsl:variable>
+       <xsl:if test="name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX' or ((name(.)='REL' or name(.)='VAR' or name(.)='META' or name(.)='CONST' or name(.)='MUTCONSTRUCT') and $innertype_available='yes')">
+        <xsl:apply-templates mode="noannot" select="."/>
+       </xsl:if>
+      </xsl:for-each>
+      <!-- now re-process the application -->
       <m:apply helm:xref="{@id}">
        <m:csymbol>app</m:csymbol>
-       <xsl:apply-templates mode="pure" select="*[1]"/>
-       <m:ci>*</m:ci>
-       <m:ci>*</m:ci>
-       <m:ci>*</m:ci>
-       <xsl:apply-templates mode="flat" select="*[5]"/>
+       <!-- mode previous looks for siblings: 
+            call with the first child -->
+       <xsl:apply-templates mode="previous" select="*[1]"/>
       </m:apply>
-     </xsl:when>
-     <xsl:otherwise>
+     </m:apply>
+    </xsl:when>
+    <xsl:when test="$naturalLanguage='yes' and ($no_subproofs > 1)">
+     <m:apply helm:xref="{@id}">
+      <m:csymbol>letin</m:csymbol>
+      <!-- first process all subproofs (let-in) -->
+      <xsl:call-template name="gen_let"/>
+      <!-- now re-process the application  -->
       <m:apply helm:xref="{@id}">
        <m:csymbol>app</m:csymbol>
+       <!-- mode flat looks for siblings: call with the first child -->
        <xsl:apply-templates mode="flat" select="*[1]"/>
       </m:apply>
+     </m:apply>
+    </xsl:when>
+    <xsl:otherwise>
+     <xsl:choose>
+     <xsl:when test="@sort='Prop'">
+      <m:apply>
+       <m:csymbol>app</m:csymbol>
+       <xsl:apply-templates mode="erase" select="*[1]"/>
+      </m:apply>
+     </xsl:when>
+     <xsl:otherwise>
+      <xsl:apply-templates mode="pure" select="."/>
      </xsl:otherwise>
-    </xsl:choose>
-</xsl:template> 
+     </xsl:choose>
+    </xsl:otherwise>
+   </xsl:choose>
+</xsl:template>
 
 
-</xsl:stylesheet>
+<xsl:template name="gen_let">
+ <xsl:param name="init_pos" select="1"/>
+ <xsl:param name="from" select="0"/>
+  <xsl:apply-templates mode="gen_let_aux" select="*[position() = ($from+1)]">
+   <xsl:with-param name="init_pos" select="$init_pos"/>
+  </xsl:apply-templates>
+</xsl:template>
+
+<xsl:template mode="gen_let_aux" match="*">
+ <xsl:param name="init_pos" select="1"/>
+ <xsl:variable name="id" select="@id"/>
+ <xsl:variable name="innertype_available">
+  <xsl:for-each select="$InnerTypes">
+   <xsl:if test="key('typeid',$id)/*">
+    <xsl:text>yes</xsl:text>
+   </xsl:if>
+  </xsl:for-each>
+ </xsl:variable>
+ <xsl:choose>
+  <xsl:when test="name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX' or ((name(.)='REL' or name(.)='VAR' or name(.)='META' or name(.)='CONST' or name(.)='MUTCONSTRUCT') and $innertype_available='yes')">
+   <m:apply>
+    <m:csymbol>let</m:csymbol>
+    <m:ci><xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="concat('h',$init_pos)"/></xsl:with-param></xsl:call-template></m:ci>
+    <xsl:apply-templates mode="noannot" select="."/>
+   </m:apply>
+   <xsl:if test="following-sibling::*[1]">
+    <xsl:apply-templates mode="gen_let_aux" select="following-sibling::*[1]">
+     <xsl:with-param name="init_pos" select="$init_pos+1"/>
+    </xsl:apply-templates>
+   </xsl:if>
+  </xsl:when>
+  <xsl:otherwise>
+   <xsl:if test="following-sibling::*[1]">
+    <xsl:apply-templates mode="gen_let_aux" select="following-sibling::*[1]">
+     <xsl:with-param name="init_pos" select="$init_pos"/>
+    </xsl:apply-templates>
+   </xsl:if>
+  </xsl:otherwise>
+ </xsl:choose>
+</xsl:template>
 
+<!-- questa vecchia versione (di Claudio??) sembra bacata come un melone.
 
+<xsl:template name="gen_let">
+ <xsl:param name="init_pos" select="0"/>
+ <xsl:param name="from" select="0"/>
+      <xsl:for-each select="*[position()>$from and @sort='Prop']">
+       <xsl:variable name="id" select="@id"/>
+       <xsl:variable name="innertype_available">
+        <xsl:for-each select="$InnerTypes">
+         <xsl:if test="key('typeid',$id)/*">
+          <xsl:text>yes</xsl:text>
+         </xsl:if>
+        </xsl:for-each>
+       </xsl:variable>
+       <xsl:if test="name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX' or ((name(.)='REL' or name(.)='VAR' or name(.)='META' or name(.)='CONST' or name(.)='MUTCONSTRUCT') and $innertype_available='yes')">
+        <m:apply>
+         <m:csymbol>let</m:csymbol>
+         <m:ci><xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="concat('h',position()+$init_pos)"/></xsl:with-param></xsl:call-template></m:ci>
+         <xsl:apply-templates mode="noannot" select="."/>
+        </m:apply>
+       </xsl:if>
+      </xsl:for-each>
+</xsl:template> -->
+
+<xsl:template match="*" mode="erase">
+  <xsl:choose>
+   <xsl:when test="@sort='Prop' 
+                   or name()='instantiate' or $naturalLanguage='no'">
+    <xsl:apply-templates mode="pure" select="."/>
+   </xsl:when>
+   <xsl:otherwise>
+    <m:ci>.</m:ci>
+   </xsl:otherwise>
+   </xsl:choose>
+ <xsl:apply-templates mode="erase" select="following-sibling::*[1]"/>
+</xsl:template>
+
+<xsl:template match="*" mode="previous">
+ <xsl:variable name="innertype_available">
+  <xsl:variable name="id" select="@id"/>
+  <xsl:for-each select="$InnerTypes">
+   <xsl:if test="key('typeid',$id)/*">
+    <xsl:text>yes</xsl:text>
+   </xsl:if>
+  </xsl:for-each>
+ </xsl:variable>
+ <xsl:choose>
+  <xsl:when test="@sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX' or ((name(.)='REL' or name(.)='VAR' or name(.)='META' or name(.)='CONST' or name(.)='MUTCONSTRUCT') and $innertype_available='yes'))">
+   <m:ci>previous</m:ci>
+  </xsl:when>
+  <xsl:otherwise>
+   <!-- forse bisognerebbe trattare solo l'elemento di testa -->
+   <xsl:choose>
+   <xsl:when test="@sort='Prop' 
+                   or name()='instantiate' or $naturalLanguage='no'">
+    <xsl:apply-templates mode="pure" select="."/>
+   </xsl:when>
+   <xsl:otherwise>
+    <m:ci>.</m:ci>
+   </xsl:otherwise>
+   </xsl:choose>
+   <!-- <xsl:apply-templates select="." mode="pure"/> -->
+  </xsl:otherwise>
+ </xsl:choose>
+ <xsl:apply-templates mode="previous" select="following-sibling::*[1]"/>
+</xsl:template>
 
+<xsl:template match="*" mode="flat">
+ <xsl:param name="n" select="1"/>
+ <xsl:variable name="id" select="@id"/>
+ <xsl:variable name="innertype_available">
+  <xsl:for-each select="$InnerTypes">
+   <xsl:if test="key('typeid',$id)/*">
+    <xsl:text>yes</xsl:text>
+   </xsl:if>
+  </xsl:for-each>
+ </xsl:variable>
+ <xsl:choose>
+  <xsl:when test="$naturalLanguage='yes' and @sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX' or ((name(.)='REL' or name(.)='VAR' or name(.)='META' or name(.)='CONST' or name(.)='MUTCONSTRUCT') and $innertype_available='yes'))">
+   <m:ci>
+    <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="concat('h',$n)"/></xsl:with-param></xsl:call-template>
+   </m:ci>
+   <xsl:apply-templates mode="flat" select="following-sibling::*[1]">
+    <xsl:with-param name="n" select="$n+1"/>
+   </xsl:apply-templates>
+  </xsl:when>
+  <xsl:otherwise>
+   <xsl:choose>
+    <xsl:when test="name()='REL' or name()='instantiate' or @sort='Prop' or $naturalLanguage='no'">
+     <xsl:apply-templates mode="pure" select="."/>
+    </xsl:when>
+    <xsl:otherwise>
+     <m:ci>.</m:ci>
+    </xsl:otherwise>
+   </xsl:choose>
+   <!-- <xsl:apply-templates mode="pure" select="."/> -->
+   <xsl:apply-templates mode="flat" select="following-sibling::*[1]">
+    <xsl:with-param name="n" select="$n"/>
+   </xsl:apply-templates>
+  </xsl:otherwise>
+ </xsl:choose>
+</xsl:template>
 
+<!-- Auxiliary functions -->
+<!-- OMDOC: now we have name_of_uri generalized on the extension that -->
+<!-- can replace the next template                                    -->
+<xsl:template name="get_name">
+ <xsl:param name="uri" select="''"/>
+ <xsl:variable name="sub_after" select="substring-after($uri,'/')"/>
+ <xsl:choose>
+  <xsl:when test="contains($sub_after,'/')">
+   <xsl:call-template name="get_name">
+    <xsl:with-param name="uri" select="$sub_after"/>
+   </xsl:call-template>
+  </xsl:when>
+  <xsl:otherwise>
+   <xsl:value-of select="substring-before($sub_after,'_ind.con')"/>
+  </xsl:otherwise>
+ </xsl:choose>
+</xsl:template>
 
 
+</xsl:stylesheet>