+++ /dev/null
-<?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 Set Theory -->
-<!-- First draft: April 3 2000 -->
-<!-- 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 *********************************-->
-
-
-
-<xsl:template match="*" mode="set">
- <xsl:choose>
- <xsl:when test="name() = 'LAMBDA'">
- <m:set>
- <m:bvar>
- <m:ci>
- <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="target/@binder"/></xsl:with-param></xsl:call-template>
- </m:ci>
- <m:type>
- <xsl:apply-templates select="source" mode="noannot"/>
- </m:type>
- </m:bvar>
- <m:condition>
- <xsl:apply-templates select="target" mode="noannot"/>
- </m:condition>
- </m:set>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-templates select="." mode="noannot"/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-
-<!-- IN -->
-
-<xsl:template match="APPLY[CONST[attribute::uri='cic:/Coq/Sets/Ensembles/Ensembles/In.con']]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="CONST/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="(count(child::*) - number($no_params)) = 3">
- <m:apply helm:xref="{@id}">
- <m:in definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
- <xsl:apply-templates select="*[3+$no_params]" mode="noannot"/>
- <!-- <xsl:apply-templates select="*[2+$no_params]" mode="noannot"/> -->
- <xsl:apply-templates select="*[2+$no_params]" mode="set" />
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-
-<!-- NOT-IN -->
-<!-- NOT ha no parameters -->
-<xsl:template match="APPLY[CONST[attribute::uri='cic:/Coq/Init/Logic/not.con']
-and (count(child::*) = 2) and APPLY[CONST[attribute::uri='cic:/Coq/Sets/Ensembles/Ensembles/In.con']]]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="APPLY/CONST/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="(count(APPLY/child::*) - number($no_params)) = 3">
- <m:apply helm:xref="{@id}">
- <m:notin/>
- <xsl:apply-templates select="*[2]/*[3+$no_params]" mode="noannot"/>
- <!-- <xsl:apply-templates select="*[2]/*[2+$no_params]" mode="noannot"/> -->
- <xsl:apply-templates select="*[2]/*[2+$no_params]" mode="set"/>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<!-- EMPTY SET -->
-
-<xsl:template match="APPLY[MUTIND[attribute::uri='cic:/Coq/Sets/Ensembles/Ensembles/Empty_set.ind']]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="MUTIND/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="(count(child::*) - number($no_params)) = 1">
- <m:set definitionURL="{MUTIND/@uri}" helm:xref="{@id}">
- </m:set>
- </xsl:when>
- <xsl:when test="(count(child::*) - number($no_params)) = 2">
- <m:apply helm:xref="{@id}">
- <m:in definitionURL="cic:/Coq/Sets/Ensembles/Ensembles/In.con"/>
- <xsl:apply-templates select="*[2+$no_params]" mode="noannot"/>
- <m:set definitionURL="{MUTIND/@uri}" helm:xref="{@id}">
- </m:set>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<!-- SINGLETON -->
-
-<xsl:template match="APPLY[MUTIND[attribute::uri='cic:/Coq/Sets/Ensembles/Ensembles/Singleton.ind']]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="MUTIND/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="(count(child::*) - number($no_params)) = 2">
- <m:set definitionURL="{MUTIND/@uri}" helm:xref="{@id}">
- <xsl:apply-templates select="*[2+$no_params]" mode="noannot"/>
- </m:set>
- </xsl:when>
- <xsl:when test="(count(child::*) - number($no_params)) = 3">
- <m:apply helm:xref="{@id}">
- <m:in definitionURL="cic:/Coq/Sets/Ensembles/Ensembles/In.con"/>
- <xsl:apply-templates select="*[3+$no_params]" mode="noannot"/>
- <m:set definitionURL="{MUTIND/@uri}">
- <xsl:apply-templates select="*[2+$no_params]" mode="noannot"/>
- </m:set>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<!-- COUPLE -->
-
-<xsl:template match="APPLY[MUTIND[attribute::uri='cic:/Coq/Sets/Ensembles/Ensembles/Couple.ind']]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="MUTIND/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="(count(child::*) - number($no_params)) = 3">
- <m:set definitionURL="{MUTIND/@uri}" helm:xref="{@id}">
- <xsl:apply-templates select="*[2+$no_params]" mode="noannot"/>
- <xsl:apply-templates select="*[3+$no_params]" mode="noannot"/>
- </m:set>
- </xsl:when>
- <xsl:when test="(count(child::*) - number($no_params)) = 4">
- <m:apply helm:xref="{@id}">
- <m:in definitionURL="cic:/Coq/Sets/Ensembles/Ensembles/In.con"/>
- <xsl:apply-templates select="*[4+$no_params]" mode="noannot"/>
- <m:set definitionURL="{MUTIND/@uri}">
- <xsl:apply-templates select="*[2+$no_params]" mode="noannot"/>
- <xsl:apply-templates select="*[3+$no_params]" mode="noannot"/>
- </m:set>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<!-- TRIPLE -->
-
-<xsl:template match="APPLY[MUTIND[attribute::uri='cic:/Coq/Sets/Ensembles/Ensembles/Triple.ind'] and (count(child::*) = 5)]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="MUTIND/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="(count(child::*) - number($no_params)) = 4">
- <m:set definitionURL="{MUTIND/@uri}" helm:xref="{@id}">
- <xsl:apply-templates select="*[2+$no_params]" mode="noannot"/>
- <xsl:apply-templates select="*[3+$no_params]" mode="noannot"/>
- <xsl:apply-templates select="*[4+$no_params]" mode="noannot"/>
- </m:set>
- </xsl:when>
- <xsl:when test="(count(child::*) - number($no_params)) = 5">
- <m:apply helm:xref="{@id}">
- <m:in definitionURL="cic:/Coq/Sets/Ensembles/Ensembles/In.con"/>
- <xsl:apply-templates select="*[5+$no_params]" mode="noannot"/>
- <m:set definitionURL="{MUTIND/@uri}">
- <xsl:apply-templates select="*[2+$no_params]" mode="noannot"/>
- <xsl:apply-templates select="*[3+$no_params]" mode="noannot"/>
- <xsl:apply-templates select="*[4+$no_params]" mode="noannot"/>
- </m:set>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<!-- INTERSECTION -->
-
-<xsl:template match="APPLY[MUTIND[attribute::uri='cic:/Coq/Sets/Ensembles/Ensembles/Intersection.ind']]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="MUTIND/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="(count(child::*) - number($no_params)) = 3">
- <m:apply helm:xref="{@id}">
- <m:intersect definitionURL="{MUTIND/@uri}" helm:xref="{MUTIND/@id}"/>
- <xsl:apply-templates select="*[2+$no_params]" mode="set"/>
- <xsl:apply-templates select="*[3+$no_params]" mode="set"/>
- </m:apply>
- </xsl:when>
- <xsl:when test="(count(child::*) - number($no_params)) = 4">
- <m:apply helm:xref="{@id}">
- <m:in/>
- <xsl:apply-templates select="*[4+$no_params]" mode="noannot"/>
- <m:apply>
- <m:intersect definitionURL="{MUTIND/@uri}" helm:xref="{MUTIND/@id}"/>
- <xsl:apply-templates select="*[2+$no_params]" mode="set"/>
- <xsl:apply-templates select="*[3+$no_params]" mode="set"/>
- </m:apply>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-
-<!-- UNION -->
-
-<xsl:template match="APPLY[MUTIND[attribute::uri='cic:/Coq/Sets/Ensembles/Ensembles/Union.ind']]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="MUTIND/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="(count(child::*) - number($no_params)) = 3">
- <m:apply helm:xref="{@id}">
- <m:union definitionURL="{MUTIND/@uri}" helm:xref="{MUTIND/@id}"/>
- <xsl:apply-templates select="*[2+$no_params]" mode="set"/>
- <xsl:apply-templates select="*[3+$no_params]" mode="set"/>
- </m:apply>
- </xsl:when>
- <xsl:when test="(count(child::*) - number($no_params)) = 4">
- <m:apply helm:xref="{@id}">
- <m:in/>
- <xsl:apply-templates select="*[4+$no_params]" mode="noannot"/>
- <m:apply>
- <m:union definitionURL="{MUTIND/@uri}" helm:xref="{MUTIND/@id}"/>
- <xsl:apply-templates select="*[2+$no_params]" mode="set"/>
- <xsl:apply-templates select="*[3+$no_params]" mode="set"/>
- </m:apply>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<!-- INCLUDED -->
-
-<xsl:template match="APPLY[CONST[attribute::uri='cic:/Coq/Sets/Ensembles/Ensembles/Included.con']]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="CONST/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="(count(child::*) - number($no_params)) = 3">
- <m:apply helm:xref="{@id}">
- <m:subset definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
- <xsl:apply-templates select="*[2+$no_params]" mode="set"/>
- <xsl:apply-templates select="*[3+$no_params]" mode="set"/>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<!-- STRICTLY INCLUDED -->
-
-<xsl:template match="APPLY[CONST[attribute::uri='cic:/Coq/Sets/Ensembles/Ensembles/Strict_Included.con']]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="CONST/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="(count(child::*) - number($no_params)) = 3">
- <m:apply helm:xref="{@id}">
- <m:prsubset definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
- <xsl:apply-templates select="*[2+$no_params]" mode="set"/>
- <xsl:apply-templates select="*[3+$no_params]" mode="set"/>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<!-- SET-DIFF -->
-
-<xsl:template match="APPLY[CONST[attribute::uri='cic:/Coq/Sets/Ensembles/Ensembles/Setminus.con']]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="CONST/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="(count(child::*) - number($no_params)) = 3">
- <m:apply helm:xref="{@id}">
- <m:setdiff definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
- <xsl:apply-templates select="*[2+$no_params]" mode="set"/>
- <xsl:apply-templates select="*[3+$no_params]" mode="set"/>
- </m:apply>
- </xsl:when>
- <xsl:when test="(count(child::*) - number($no_params)) = 4">
- <m:apply helm:xref="{@id}">
- <m:in/>
- <xsl:apply-templates select="*[4+$no_params]" mode="noannot"/>
- <m:apply>
- <m:setdiff definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
- <xsl:apply-templates select="*[2+$no_params]" mode="set"/>
- <xsl:apply-templates select="*[3+$no_params]" mode="set"/>
- </m:apply>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<!-- ADD-ELEM -->
-
-<xsl:template match="APPLY[CONST[attribute::uri='cic:/Coq/Sets/Ensembles/Ensembles/Add.con']]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="CONST/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="(count(child::*) - number($no_params)) = 3">
- <m:apply helm:xref="{@id}">
- <m:union definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
- <xsl:apply-templates select="*[2+$no_params]" mode="set"/>
- <m:set>
- <xsl:apply-templates select="*[3+$no_params]" mode="noannot"/>
- </m:set>
- </m:apply>
- </xsl:when>
- <xsl:when test="(count(child::*) - number($no_params)) = 4">
- <m:apply helm:xref="{@id}">
- <m:in/>
- <xsl:apply-templates select="*[4+$no_params]" mode="noannot"/>
- <m:apply>
- <m:union definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
- <xsl:apply-templates select="*[2+$no_params]" mode="set"/>
- <m:set>
- <xsl:apply-templates select="*[3+$no_params]" mode="noannot"/>
- </m:set>
- </m:apply>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<!-- SUBTRACT-ELEM -->
-
-<xsl:template match="APPLY[CONST[attribute::uri='cic:/Coq/Sets/Ensembles/Ensembles/Subtract.con']]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="CONST/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="(count(child::*) - number($no_params)) = 3">
- <m:apply helm:xref="{@id}">
- <m:setdiff definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
- <xsl:apply-templates select="*[2+$no_params]" mode="set"/>
- <m:set>
- <xsl:apply-templates select="*[3+$no_params]" mode="noannot"/>
- </m:set>
- </m:apply>
- </xsl:when>
- <xsl:when test="(count(child::*) - number($no_params)) = 4">
- <m:apply helm:xref="{@id}">
- <m:in/>
- <xsl:apply-templates select="*[4+$no_params]" mode="noannot"/>
- <m:apply>
- <m:setdiff definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
- <xsl:apply-templates select="*[2+$no_params]" mode="set"/>
- <m:set>
- <xsl:apply-templates select="*[3+$no_params]" mode="noannot"/>
- </m:set>
- </m:apply>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<!-- CARD -->
-
-<xsl:template match="APPLY[MUTIND[attribute::uri='cic:/Coq/Sets/Finite_sets/Ensembles_finis/cardinal.ind']]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="MUTIND/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="(count(child::*) - number($no_params)) = 3">
- <m:apply helm:xref="{@id}">
- <m:eq/>
- <m:apply>
- <m:card definitionURL="{MUTIND/@uri}" helm:xref="{MUTIND/@id}"/>
- <xsl:apply-templates select="*[2+$no_params]" mode="set"/>
- </m:apply>
- <xsl:apply-templates select="*[3+$no_params]" mode="noannot"/>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<!-- ******************* SIGMA TYPES **************************** -->
-
-<xsl:template match="APPLY[MUTIND[attribute::uri='cic:/Coq/Init/Specif/Subsets/sig.ind']]" mode="pure">
- <xsl:choose>
- <xsl:when test="count(child::*) = 3">
- <xsl:choose>
- <xsl:when test="name(*[3]) = 'LAMBDA'">
- <m:set>
- <m:bvar>
- <m:ci>
- <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="*[3]/target/@binder"/></xsl:with-param></xsl:call-template>
- </m:ci>
- <m:type>
- <xsl:apply-templates select="*[3]/source/*[1]" mode="noannot"/>
- </m:type>
- </m:bvar>
- <m:condition>
- <xsl:apply-templates select="*[3]/target/*[1]" mode="noannot"/>
- </m:condition>
- </m:set>
- </xsl:when>
- <xsl:otherwise>
- <m:set>
- <m:bvar>
- <m:ci>$x</m:ci>
- <m:type>
- <xsl:apply-templates select="*[2]" mode="noannot"/>
- </m:type>
- </m:bvar>
- <m:condition>
- <m:apply>
- <m:csymbol>app</m:csymbol>
- <xsl:apply-templates select="*[3]" mode="noannot"/>
- <m:ci>$x</m:ci>
- </m:apply>
- </m:condition>
- </m:set>
- </xsl:otherwise>
- </xsl:choose>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-
-</xsl:stylesheet>