X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fstyle%2Fproofs.xsl;fp=helm%2Fstyle%2Fproofs.xsl;h=0000000000000000000000000000000000000000;hb=bb2953675ebb08267186029b18bc3fdca9c137df;hp=5a34d8a06f710fea23eb3a18d494e23174931bc1;hpb=1cfcea66d7394a785ec439cd6b03497b276918c4;p=helm.git

diff --git a/helm/style/proofs.xsl b/helm/style/proofs.xsl
deleted file mode 100644
index 5a34d8a06..000000000
--- a/helm/style/proofs.xsl
+++ /dev/null
@@ -1,922 +0,0 @@
-<?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                                                      -->
-<!-- (completely) Revisited: february 2001, Andrea Asperti            -->
-<!-- HELM Group: Asperti, Padovani, Sacerdoti, Schena                 -->
-<!--******************************************************************-->
-
-<xsl:stylesheet version="1.0" xmlns:xsl="http://www.w3.org/1999/XSL/Transform"
-                              xmlns:m="http://www.w3.org/1998/Math/MathML"
-                              xmlns:helm="http://www.cs.unibo.it/helm">
-
-<!-- ************************* LOGIC *********************************-->
-
-<!-- Proof objects -->
-
-<!-- <xsl:key name="typeid" use="@of" match="TYPE"/> -->
-
-<!-- ALL this elements does not have inner type -->
-<xsl:template match="LETIN|PROD|REL|SORT|VAR|META|CONST|MUTIND|MUTCONSTRUCT" mode="noannot">
-<xsl:apply-templates select="." mode="pure"/>
-</xsl:template>
-
-<!-- ALL ELEMENTS WITH A TYPE ARE TRANSLATED AS A PROOF-ELEMENT -->
-
-<!-- LAMBDA has inner type only if it is not nested inside another lambda -->
-<xsl:template match="LAMBDA" mode="noannot">
- <xsl:variable name="id" select="@id"/>
- <xsl:choose>
-  <xsl:when test="$naturalLanguage='yes' and @sort='Prop' and name(../..) != 'LAMBDA'">
-   <m:apply helm:xref="{@id}">
-    <m:csymbol>proof</m:csymbol>
-    <xsl:apply-templates mode="proof_transform" select="."/>
-    <xsl:apply-templates mode="pure" select="$InnerTypes/InnerTypes/TYPE[@of=$id]/*"/>
-   </m:apply>
-  </xsl:when>
-  <xsl:otherwise>
-   <xsl:apply-templates select="." mode="pure"/>
-  </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<!-- ALL these elements have inner type -->
-<xsl:template match="CAST|APPLY|MUTCASE|FIX|COFIX" mode="noannot">
- <xsl:variable name="id" select="@id"/>
- <xsl:choose>
-  <xsl:when test="$naturalLanguage='yes' and @sort='Prop'">
-   <m:apply helm:xref="{@id}">
-    <m:csymbol>proof</m:csymbol>
-    <xsl:apply-templates mode="proof_transform" select="."/>
-    <!-- <xsl:apply-templates mode="try_inductive" select="."/> -->
-    <xsl:apply-templates mode="pure" select="$InnerTypes/InnerTypes/TYPE[@of=$id]/*"/>
-   </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>
-
-<!-- si presuppone che il tipo induttivo non sia mutuamente 
-     induttivo. Bisognerebbe andare a vedere l'utlimo parametro
-     del presunto "principio di induzione", tirare fuori il tipo induttivo
-     e vedere se il suo nome coincide con il prefisso di _ind. 
-     Ad esempio nat_double_ind e' definito dall'utente. L'ultimo
-     parametro di nat_double_ind e' di tipo nat, e nat e' diverso
-     da nat_double. Per ora, verifico solo l'esistenza di nat_double,
-     ma questo, benche' non porti ad errore, non copre tutti i
-     casi per quelli mutuamente induttivi -->
-
-<xsl:template mode="try_inductive" match="APPLY">
-   <xsl:variable name="id" select="@id"/>
-   <xsl:choose>
-    <xsl:when test="CONST[1]">
-     <xsl:variable name="uri" select="CONST[1]/@uri"/>
-     <xsl:choose>
-      <xsl:when test="contains($uri,'_ind.con')">
-       <xsl:variable name="ind_uri" 
-         select="concat(substring-before($uri,'_ind.con'),'.ind')"/>
-       <xsl:variable name="InductiveTypeUrl"><xsl:call-template name="URLofURI4getter"><xsl:with-param name="uri" select="$ind_uri"/></xsl:call-template></xsl:variable>
-       <xsl:variable name="inductive_def" 
-     select="document($InductiveTypeUrl)/InductiveDefinition"/>
-       <!-- check if the corresponding inductive definition actually
-            exists -->
-       <xsl:choose>
-        <xsl:when test="$inductive_def">
-         <xsl:variable name="ind_name">
-          <xsl:call-template name="get_name">
-           <xsl:with-param name="uri" select="$uri"/>
-          </xsl:call-template>
-         </xsl:variable>
-         <xsl:variable name="no_params">
-          <xsl:call-template name="get_no_params">
-           <xsl:with-param name="first_uri" select="$CICURI"/>
-           <xsl:with-param name="second_uri" select="$uri"/>
-          </xsl:call-template>
-         </xsl:variable>
-         <xsl:apply-templates mode="inductive" select=".">
-          <xsl:with-param name="inductive_def_uri" 
-           select="$ind_uri"/>
-          <xsl:with-param name="inductive_def" 
-           select="$inductive_def"/>
-          <xsl:with-param name="section_params" select="$no_params"/>
-          <xsl:with-param name="inductive_def_index" select="1"/>
-          <xsl:with-param name="inductive_def_name" select="$ind_name"/>
-         </xsl:apply-templates>
-        </xsl:when>
-        <xsl:otherwise>
-         <xsl:apply-templates mode="letin" select="."/>
-        </xsl:otherwise>
-       </xsl:choose>
-      </xsl:when>
-      <xsl:otherwise>
-       <xsl:apply-templates mode="letin" select="."/>
-      </xsl:otherwise>
-     </xsl:choose>
-    </xsl:when>
-    <xsl:otherwise>
-     <xsl:apply-templates mode="letin" select="."/>
-    </xsl:otherwise>
-   </xsl:choose>
-</xsl:template>
-
-<xsl:template mode="eq_transitive" match="*">
- <!-- <m:ci>eccomi-1: <xsl:value-of select="name()"/></m:ci> -->
- <xsl:choose>
-  <xsl:when test="name()='APPLY'">
-   <!-- <m:ci>eccomi-2: <xsl:value-of select="CONST[1]/@uri"/></m:ci> -->
-   <xsl:variable name="id" select="@id"/>
-   <xsl:choose>
-    <!-- ricordarsi di trattare il parametro -->
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/CSetoids/CSetoid_basics/eq_transitive_unfolded.con'] and count(child::*) = 7">
-     <!-- <m:ci>eccomi-3</m:ci> -->
-     <xsl:apply-templates mode="eq_transitive" select="*[6]"/>
-     <xsl:apply-templates mode="noannot" select="*[4]"/>
-     <xsl:apply-templates mode="eq_transitive" select="*[7]"/>
-    </xsl:when>
-    <xsl:otherwise>
-     <xsl:call-template name="generate_side_proof">
-      <xsl:with-param name="proof" select="."/>
-      <xsl:with-param name="show_statement" select="0"/>
-     </xsl:call-template> 
-    </xsl:otherwise>
-   </xsl:choose>
-  </xsl:when>
-  <xsl:otherwise>
-   <xsl:call-template name="generate_side_proof">
-    <xsl:with-param name="proof" select="."/>
-    <xsl:with-param name="show_statement" select="0"/>
-   </xsl:call-template>
-  </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<xsl:template mode="diseq" match="*">
-  <xsl:param name="rel" select="'eq'"/>
-  <xsl:choose>
-  <xsl:when test="name()='APPLY'">
-      <xsl:variable name="id" select="@id"/>
-   <xsl:choose>
-    <!-- ricordarsi di trattare il parametro -->
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_transitive.con'] and count(child::*) = 7">
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'leq'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-       <xsl:apply-templates mode="diseq" select="*[7]">
-        <xsl:with-param name="rel" select="'leq'"/>
-       </xsl:apply-templates>
-    </xsl:when> 
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_wdl.con'] and count(child::*) = 7">
-       <m:eq/>
-       <!-- <m:ci><xsl:value-of select="'eq'"/></m:ci> -->
-       <xsl:call-template name="generate_side_proof">
-        <xsl:with-param name="proof" select="*[7]"/>
-        <xsl:with-param name="show_statement" select="0"/>
-       </xsl:call-template>
-       <xsl:apply-templates mode="noannot" select="*[3]"/>
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'leq'"/>
-       </xsl:apply-templates>
-    </xsl:when> 
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_less_trans.con'] and count(child::*) = 7">
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'leq'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-       <xsl:apply-templates mode="diseq" select="*[7]">
-        <xsl:with-param name="rel" select="'lt'"/>
-       </xsl:apply-templates>
-    </xsl:when>
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/less_leEq_trans.con'] and count(child::*) = 7">
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'lt'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-       <xsl:apply-templates mode="diseq" select="*[7]">
-        <xsl:with-param name="rel" select="'leq'"/>
-       </xsl:apply-templates>
-    </xsl:when>  
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_wdr.con'] and count(child::*) = 7">
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'leq'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-       <xsl:apply-templates mode="diseq" select="*[7]">
-        <xsl:with-param name="rel" select="'eq'"/>
-       </xsl:apply-templates>
-    </xsl:when>  
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/COrdField_axioms/less_transitive_unfolded.con'] and count(child::*) = 7">
-      <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'lt'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-       <xsl:apply-templates mode="diseq" select="*[7]">
-        <xsl:with-param name="rel" select="'lt'"/>
-       </xsl:apply-templates>
-     </xsl:when> 
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/COrdField_axioms/less_wdr.con'] and count(child::*) = 7">
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'lt'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-       <xsl:apply-templates mode="diseq" select="*[7]">
-        <xsl:with-param name="rel" select="'eq'"/>
-       </xsl:apply-templates>
-     </xsl:when>
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/COrdField_axioms/less_wdl.con'] and count(child::*) = 7">
-       <m:eq/>
-       <!-- <m:ci><xsl:value-of select="'eq'"/></m:ci> -->
-       <xsl:call-template name="generate_side_proof">
-        <xsl:with-param name="proof" select="*[7]"/>
-        <xsl:with-param name="show_statement" select="0"/>
-       </xsl:call-template>
-       <xsl:apply-templates mode="noannot" select="*[3]"/>
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'lt'"/>
-       </xsl:apply-templates>
-    </xsl:when> 
-    <!-- 
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/CSetoids/CSetoid_basics/eq_transitive_unfolded.con'] and count(child::*) = 7">
-     <xsl:apply-templates mode="diseq" select="*[6]"/>
-     <m:eq/>
-     <xsl:apply-templates mode="noannot" select="*[4]"/>
-     <m:eq/>
-     <xsl:apply-templates mode="diseq" select="*[7]"/>
-    </xsl:when> 
-    -->
-    <xsl:otherwise>
-     <xsl:element name="{concat('m:',$rel)}"/>
-     <!-- <m:ci><xsl:value-of select="$rel"/></m:ci> -->  
-     <xsl:call-template name="generate_side_proof">
-      <xsl:with-param name="proof" select="."/>
-      <xsl:with-param name="show_statement" select="0"/>
-     </xsl:call-template> 
-    </xsl:otherwise>
-   </xsl:choose>
-  </xsl:when>
-  <xsl:otherwise>
-   <xsl:element name="{concat('m:',$rel)}"/> 
-   <!-- <m:ci><xsl:value-of select="$rel"/></m:ci> --> 
-   <xsl:call-template name="generate_side_proof">
-    <xsl:with-param name="proof" select="."/>
-    <xsl:with-param name="show_statement" select="0"/>
-   </xsl:call-template>
-  </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>
-    <!-- Algebra equality (eq_transitive_unfolded) -->
-    <!-- It requires a special mode "eq_transitive"-->
-    <!-- togliere il parametro -->
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/CSetoids/CSetoid_basics/eq_transitive_unfolded.con'] and count(child::*) = 7">
-     <m:apply>
-       <m:csymbol>eq_chain</m:csymbol>
-       <xsl:apply-templates mode="noannot" select="*[3]"/>
-       <xsl:apply-templates mode="eq_transitive" select="*[6]"/>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-       <xsl:apply-templates mode="eq_transitive" select="*[7]"/>
-       <xsl:apply-templates mode="noannot" select="*[5]"/>
-     </m:apply>
-    </xsl:when>
-    <!-- Algebra disequalities -->
-    <!-- It requires a special mode "diseq"-->
-    <!-- togliere il parametro -->
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_transitive.con'] and count(child::*) = 7">
-     <m:apply>
-       <m:csymbol>diseq_chain</m:csymbol>
-       <xsl:apply-templates mode="noannot" select="*[3]"/>
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'leq'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-       <xsl:apply-templates mode="diseq" select="*[7]">
-        <xsl:with-param name="rel" select="'leq'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[5]"/>
-     </m:apply>
-    </xsl:when> 
-     <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_wdl.con'] and count(child::*) = 7">
-     <m:apply>
-       <m:csymbol>diseq_chain</m:csymbol>
-       <xsl:apply-templates mode="noannot" select="*[5]"/>
-       <m:eq/>
-       <!-- <m:ci><xsl:value-of select="'eq'"/></m:ci> -->
-       <xsl:call-template name="generate_side_proof">
-        <xsl:with-param name="proof" select="*[7]"/>
-        <xsl:with-param name="show_statement" select="0"/>
-       </xsl:call-template>
-       <xsl:apply-templates mode="noannot" select="*[3]"/>
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'leq'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-     </m:apply>
-    </xsl:when>
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_less_trans.con'] and count(child::*) = 7">
-     <m:apply>
-       <m:csymbol>diseq_chain</m:csymbol>
-       <xsl:apply-templates mode="noannot" select="*[3]"/>
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'leq'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-       <xsl:apply-templates mode="diseq" select="*[7]">
-        <xsl:with-param name="rel" select="'lt'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[5]"/>
-     </m:apply>
-    </xsl:when> 
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/less_leEq_trans.con'] and count(child::*) = 7">
-     <m:apply>
-       <m:csymbol>diseq_chain</m:csymbol>
-       <xsl:apply-templates mode="noannot" select="*[3]"/>
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'lt'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-       <xsl:apply-templates mode="diseq" select="*[7]">
-        <xsl:with-param name="rel" select="'leq'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[5]"/>
-     </m:apply>
-    </xsl:when>  
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_wdr.con'] and count(child::*) = 7">
-     <m:apply>
-       <m:csymbol>diseq_chain</m:csymbol>
-       <xsl:apply-templates mode="noannot" select="*[3]"/>
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'leq'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-       <xsl:apply-templates mode="diseq" select="*[7]">
-        <xsl:with-param name="rel" select="'eq'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[5]"/>
-     </m:apply>
-    </xsl:when>  
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/COrdField_axioms/less_transitive_unfolded.con'] and count(child::*) = 7">
-     <m:apply>
-       <m:csymbol>diseq_chain</m:csymbol>
-       <xsl:apply-templates mode="noannot" select="*[3]"/>
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'lt'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-       <xsl:apply-templates mode="diseq" select="*[7]">
-        <xsl:with-param name="rel" select="'lt'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[5]"/>
-     </m:apply>
-    </xsl:when>  
-    <!-- togliere il parametro -->
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/COrdField_axioms/less_wdr.con'] and count(child::*) = 7">
-     <m:apply>
-       <m:csymbol>diseq_chain</m:csymbol>
-       <xsl:apply-templates mode="noannot" select="*[3]"/>
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'lt'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-       <xsl:apply-templates mode="diseq" select="*[7]">
-        <xsl:with-param name="rel" select="'eq'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[5]"/>
-     </m:apply>
-    </xsl:when>
-    <!-- togliere il parametro -->
-    <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/COrdField_axioms/less_wdl.con'] and count(child::*) = 7">
-     <m:apply>
-       <m:csymbol>diseq_chain</m:csymbol>
-       <xsl:apply-templates mode="noannot" select="*[5]"/>
-       <m:eq/>
-       <!-- <m:ci><xsl:value-of select="'eq'"/></m:ci> -->
-       <xsl:call-template name="generate_side_proof">
-        <xsl:with-param name="proof" select="*[7]"/>
-        <xsl:with-param name="show_statement" select="0"/>
-       </xsl:call-template>
-       <xsl:apply-templates mode="noannot" select="*[3]"/>
-       <xsl:apply-templates mode="diseq" select="*[6]">
-        <xsl:with-param name="rel" select="'lt'"/>
-       </xsl:apply-templates>
-       <xsl:apply-templates mode="noannot" select="*[4]"/>
-     </m:apply>
-    </xsl:when> 
-    <!-- EQUALITY -->
-    <xsl:when test="CONST[
- attribute::uri='cic:/Coq/Init/Logic/Equality/eq_ind.con' or
- attribute::uri='cic:/Coq/Init/Logic/Logic_lemmas/eq_ind_r.con' or
- attribute::uri='cic:/Coq/Init/Logic_Type/eqT_ind.con' or
- attribute::uri='cic:/Coq/Init/Logic_Type/eqT_ind_r.con' or
- attribute::uri='cic:/Coq/Zarith/auxiliary/eqT_ind_r.con'] and count(child::*) = 7">
-      <m:apply>
-       <m:csymbol>rw_step</m:csymbol>
-       <xsl:apply-templates mode="noannot" select="*[5]"/>
-       <xsl:apply-templates mode="pure" select="*[3]"/>
-       <xsl:apply-templates mode="pure" select="*[6]"/>
-       <xsl:call-template name="generate_side_proof">
-        <xsl:with-param name="proof" select="*[7]"/>
-       </xsl:call-template>
-       <!-- <xsl:apply-templates mode="proof_transform" select="*[7]"/> -->
-      </m:apply>
-    </xsl:when>
-    <!-- EQUALITY with extra-parameters -->
-    <xsl:when test="CONST[
- attribute::uri='cic:/Coq/Init/Logic/Equality/eq_ind.con' or
- attribute::uri='cic:/Coq/Init/Logic/Logic_lemmas/eq_ind_r.con' or
- attribute::uri='cic:/Coq/Init/Logic_Type/eqT_ind.con' or
- attribute::uri='cic:/Coq/Init/Logic_Type/eqT_ind_r.con' or
- attribute::uri='cic:/Coq/Zarith/auxiliary/eqT_ind_r.con'] and count(child::*) > 7">
-      <xsl:variable name="no_extraproofs" select="count(*[position()>7 and @sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')])"/>      
-      <xsl:choose>
-       <xsl:when test="$no_extraproofs=0"> 
-        <m:apply>
-         <m:csymbol>rewrite_and_apply</m:csymbol>
-         <m:apply>
-          <m:csymbol>rw_step</m:csymbol>
-          <xsl:apply-templates mode="noannot" select="*[5]"/>
-          <xsl:apply-templates mode="pure" select="*[3]"/>
-          <xsl:apply-templates mode="pure" select="*[6]"/>
-          <xsl:call-template name="generate_side_proof">
-           <xsl:with-param name="proof" select="*[7]"/>
-           </xsl:call-template>
-          <!-- <xsl:apply-templates mode="pure" select="*[7]"/> -->
-         </m:apply>
-         <xsl:apply-templates mode="noannot" select="*[position()>7]"/>
-        </m:apply>
-       </xsl:when>
-       <xsl:otherwise>
-        <xsl:choose>
-         <xsl:when test="*[5]/@sort='Prop'">
-          <m:apply helm:xref="{@id}">
-           <m:csymbol>letin</m:csymbol>
-           <m:apply>
-            <m:csymbol>let</m:csymbol>
-            <m:ci>
-             <xsl:call-template name="insert_subscript">
-              <xsl:with-param name="node_value" select="'h1'"/>
-             </xsl:call-template>
-            </m:ci>
-            <xsl:apply-templates mode="noannot" select="*[5]"/>
-           </m:apply>
-           <xsl:call-template name="gen_let">
-            <xsl:with-param name="init_pos" select="1"/>
-            <xsl:with-param name="from" select="7"/>
-           </xsl:call-template>
-           <m:apply>
-            <m:csymbol>rewrite_and_apply</m:csymbol>
-            <m:apply>
-             <m:csymbol>rw_step</m:csymbol>
-             <m:ci>
-              <xsl:call-template name="insert_subscript">
-               <xsl:with-param name="node_value" select="'h1'"/>
-              </xsl:call-template>
-             </m:ci>
-             <xsl:apply-templates mode="pure" select="*[3]"/>
-             <xsl:apply-templates mode="pure" select="*[6]"/>
-             <xsl:call-template name="generate_side_proof">
-              <xsl:with-param name="proof" select="*[7]"/>
-             </xsl:call-template>
-             <!-- <xsl:apply-templates mode="pure" select="*[7]"/> -->
-            </m:apply>
-            <xsl:apply-templates mode="flat" select="*[8]">
-             <xsl:with-param name="n">
-              <xsl:value-of select="2"/>
-             </xsl:with-param>
-            </xsl:apply-templates>
-           </m:apply>
-          </m:apply>
-         </xsl:when>
-         <xsl:otherwise>
-          <m:apply helm:xref="{@id}">
-           <m:csymbol>letin</m:csymbol>
-           <xsl:call-template name="gen_let">
-            <xsl:with-param name="init_pos" select="0"/>
-            <xsl:with-param name="form" select="7"/>
-           </xsl:call-template>
-           <m:apply>
-            <m:csymbol>rewrite_and_apply</m:csymbol>
-            <m:apply>
-             <m:csymbol>rw_step</m:csymbol>
-             <xsl:apply-templates mode="pure" select="*[5]"/>
-             <xsl:apply-templates mode="pure" select="*[3]"/>
-             <xsl:apply-templates mode="pure" select="*[6]"/>             
-             <xsl:call-template name="generate_side_proof">
-              <xsl:with-param name="proof" select="*[7]"/>
-             </xsl:call-template>
-             <!-- <xsl:apply-templates mode="pure" select="*[7]"/> -->
-            </m:apply>
-            <xsl:apply-templates mode="flat" select="*[8]">
-             <xsl:with-param name="n">
-              <xsl:value-of select="1"/>
-             </xsl:with-param>
-            </xsl:apply-templates>
-           </m:apply>
-          </m:apply>
-         </xsl:otherwise>
-        </xsl:choose>
-       </xsl:otherwise>
-      </xsl:choose>
-    </xsl:when>
-    <!-- False_ind -->
-    <xsl:when test="CONST[
-     attribute::uri='cic:/Coq/Init/Logic/False_ind.con'] and 
-     count(child::*) = 3">
-     <m:apply helm:xref="{@id}">
-       <m:csymbol>false_ind</m:csymbol>
-       <m:ci>cic:/Coq/Init/Logic/False_ind.con</m:ci>
-       <xsl:apply-templates mode="noannot" select="*[3]"/>
-     </m:apply>
-    </xsl:when>
-    <!-- gestire meglio il caso di and_ind quando la prova 
-         non e' della forma \x.\y.M -->
-    <xsl:when test="CONST[
- attribute::uri='cic:/Coq/Init/Logic/Conjunction/and_ind.con'] 
- and count(child::*) = 6 
- and name(*[5])='LAMBDA' 
- and name(*[5]/target/*[1])='LAMBDA'"> 
-      <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="proof_transform" select="*[5]/target/LAMBDA/target/*"/> 
-      </m:apply>
-    </xsl:when>
-    <xsl:when test="CONST[
- attribute::uri='cic:/Coq/Init/Logic/Disjunction/or_ind.con'] 
- and count(child::*) = 7">
-      <xsl:choose>
-       <xsl:when test="name(*[5])='LAMBDA' 
-                 and name(*[6])='LAMBDA'">
-        <xsl:variable name="definition_url" 
-            select="'cic:/Coq/Init/Logic/Disjunction/or.ind'"/>
-        <m:apply helm:xref="{@id}">
-         <m:csymbol>full_or_ind</m:csymbol>
-         <xsl:apply-templates mode="noannot" select="*[7]"/>
-         <xsl:apply-templates mode="pure" 
-              select="$InnerTypes/InnerTypes/TYPE[@of=$id]/*"/>
-         <m:apply>
-          <m:csymbol>left_case</m:csymbol>
-          <m:bvar>
-           <m:ci>
-            <xsl:value-of select="*[5]/target/@binder"/>
-           </m:ci>
-           <m:type>
-            <xsl:apply-templates mode="pure" select="*[5]/source/*[1]"/>
-           </m:type>
-          </m:bvar>
-          <xsl:apply-templates mode="noannot" select="*[5]/target/*[1]"/>
-         </m:apply>
-         <m:apply>
-          <m:csymbol>right_case</m:csymbol>
-          <m:bvar>
-           <m:ci>
-            <xsl:apply-templates mode="pure" select="*[6]/target/@binder"/>
-           </m:ci>
-           <m:type>
-            <xsl:apply-templates mode="pure" select="*[6]/source/*[1]"/>
-           </m:type>
-          </m:bvar>
-          <xsl:apply-templates mode="noannot" select="*[6]/target/*[1]"/>
-         </m:apply>
-        </m:apply>
-       </xsl:when>
-       <xsl:otherwise>
-        <m:apply helm:xref="{@id}">
-         <m:csymbol>or_ind</m:csymbol>
-         <xsl:apply-templates mode="noannot" select="*[7]"/>
-         <xsl:apply-templates mode="pure" 
-              select="$InnerTypes/InnerTypes/TYPE[@of=$id]/*"/>
-         <xsl:apply-templates mode="pure" select="*[5]"/>
-         <xsl:apply-templates mode="pure" select="*[6]"/>
-        </m:apply>
-       </xsl:otherwise>
-      </xsl:choose>
-    </xsl:when>
-    <!-- ex_ind, exT_ind -->
-      <xsl:when test="(CONST[attribute::uri='cic:/Coq/Init/Logic_Type/exT_ind.con'] or
-      CONST[attribute::uri='cic:/Coq/Init/Logic/First_order_quantifiers/ex_ind.con'])  
- and count(child::*) = 6 
- and name(*[5])='LAMBDA' 
- and name(*[5]/target/*[1])='LAMBDA'"> 
-      <m:apply helm:xref="{@id}">
-       <m:csymbol>ex_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="proof_transform" select="*[5]/target/LAMBDA/target/*"/>
-      </m:apply>
-    </xsl:when>
-    <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
-         and *[2]/@sort='Prop'">
-     <m:apply helm:xref="{@id}">
-      <m:csymbol>letin</m:csymbol>
-      <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="*[1]/target/@binder"/>
-         </xsl:with-param>
-        </xsl:call-template>
-       </m:ci>
-       <xsl:apply-templates mode="noannot" select="*[2]"/>
-      </m:apply>
-      <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:when>
-  <xsl:when test="name()='LAMBDA'">
-   <xsl:choose>
-     <xsl:when test="(name(target/*[1])='APPLY'  and
-      name(target/*[1]/*[1])='CONST' and
-      (target/*[1]/*[1]/@uri='cic:/Coq/Init/Logic_Type/eqT_ind.con' or
-       target/*[1]/*[1]/@uri='cic:/Coq/Init/Logic_Type/eqT_ind_r.con' or
-       target/*[1]/*[1]/@uri='cic:/Coq/Zarith/auxiliary/eqT_ind_r.con')
-      and count(target/*[1]/*) = 8 
-      and name(target/*[1]/*[8])='REL'
-      and target/@binder = target/*[1]/*[8]/@binder )"> 
-      <m:apply>
-       <m:csymbol>rw_step</m:csymbol>
-       <xsl:apply-templates mode="noannot" select="target/*[1]/*[5]"/>
-       <xsl:apply-templates mode="pure" select="target/*[1]/*[3]"/>
-       <xsl:apply-templates mode="pure" select="target/*[1]/*[6]"/>
-       <xsl:call-template name="generate_side_proof">
-        <xsl:with-param name="proof" select="target/*[1]/*[7]"/>
-       </xsl:call-template>
-       <!-- <xsl:apply-templates mode="proof_transform" select="target/*[1]/*[7]"/> -->
-      </m:apply>
-     </xsl:when>
-     <xsl:otherwise>
-      <xsl:apply-templates mode="pure" select="."/>
-     </xsl:otherwise>
-    </xsl:choose>
-   </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 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="$show_statement = 1">
-      <m:csymbol>proof</m:csymbol>
-     </xsl:when>
-     <xsl:otherwise>
-      <m:csymbol>side_proof</m:csymbol>
-     </xsl:otherwise>
-    </xsl:choose>
-    <xsl:apply-templates mode="proof_transform" select="$proof"/>
-    <xsl:apply-templates mode="pure" select="$InnerTypes/InnerTypes/TYPE[@of=$proof/@id]/*"/>
-   </m:apply>
-   <!-- <xsl:apply-templates select="$proof" mode="noannot"/> -->
-  </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<xsl:variable name="no_subproofs" select="count(*[@sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')])"/>
-
-<xsl:template match="APPLY" mode="letin">
-   <xsl:variable name="no_subproofs" select="count(*[@sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')])"/>
-   <!-- <m:cn><xsl:value-of select="$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:apply-templates mode="noannot" select="*[@sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')]"/>
-      <!-- now re-process the application -->
-      <m:apply helm:xref="{@id}">
-       <m:csymbol>app</m:csymbol>
-       <!-- mode previous looks for siblings: 
-            call with the first child -->
-       <xsl:apply-templates mode="previous" select="*[1]"/>
-      </m:apply>
-     </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:otherwise>
-   </xsl:choose>
-</xsl:template>
-
-<xsl:template name="gen_let">
- <xsl:param name="init_pos" select="0"/>
- <xsl:param name="from" select="0"/>
-      <xsl:for-each select="*[position()>$from and @sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')]">
-       <m:apply>
-        <m:csymbol>let</m:csymbol>
-        <m:ci><xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="concat('h',position()+$init_pos)"/></xsl:with-param></xsl:call-template></m:ci>
-        <xsl:apply-templates mode="noannot" select="."/>
-       </m:apply>
-      </xsl:for-each>
-</xsl:template>
-
-<xsl:template match="*" mode="erase">
-  <xsl:choose>
-   <xsl:when test="@sort='Prop' or $naturalLanguage='no'">
-    <xsl:apply-templates mode="pure" select="."/>
-   </xsl:when>
-   <xsl:otherwise>
-    <m:ci>.</m:ci>
-   </xsl:otherwise>
-   </xsl:choose>
- <xsl:apply-templates mode="erase" select="following-sibling::*[1]"/>
-</xsl:template>
-
-<xsl:template match="*" mode="previous">
- <xsl:choose>
-  <xsl:when test="$naturalLanguage='yes' and @sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')">
-   <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 $naturalLanguage='no'">
-    <xsl:apply-templates mode="pure" select="."/>
-   </xsl:when>
-   <xsl:otherwise>
-    <m:ci>.</m:ci>
-   </xsl:otherwise>
-   </xsl:choose>
-   <!-- <xsl:apply-templates select="." mode="pure"/> -->
-  </xsl:otherwise>
- </xsl:choose>
- <xsl:apply-templates mode="previous" select="following-sibling::*[1]"/>
-</xsl:template>
-
-<xsl:template match="*" mode="flat">
- <xsl:param name="n" select="1"/>
- <xsl:variable name="id" select="@id"/>
- <xsl:choose>
-  <xsl:when test="$naturalLanguage='yes' and @sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')">
-   <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 @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:template match="APPLY[CONST[
- attribute::uri='cic:/Coq/Init/Logic/Conjunction/and_ind.con']]" mode="appflat">
-    <xsl:choose>
-     <xsl:when test="count(child::*) > 4">
-      <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]"/>
-      </m:apply>
-     </xsl:when>
-     <xsl:otherwise>
-      <m:apply helm:xref="{@id}">
-       <m:csymbol>app</m:csymbol>
-       <xsl:apply-templates mode="flat" select="*[1]"/>
-      </m:apply>
-     </xsl:otherwise>
-    </xsl:choose>
-</xsl:template>  -->
-
-
-</xsl:stylesheet>