+++ /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/. -->
-
-<!--******************************************************************-->
-<!-- Algebra -->
-<!-- First draft: October 2001 -->
-<!-- HELM Group: Asperti, Padovani, Sacerdoti, Schena, Guidi -->
-<!--******************************************************************-->
-
-<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">
-
-
-<!-- ************************* ALGEBRA *********************************-->
-
-
-
-<!-- 0 and 1 -->
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CSemiGroups/csg_unit.con']" mode="pure">
- <m:ci definitionURL="{CONST/@uri}" helm:xref="{@id}">0</m:ci>
-</xsl:template>
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CRings/cr_one.con']" mode="pure">
- <m:ci definitionURL="{CONST/@uri}" helm:xref="{@id}">1</m:ci>
-</xsl:template>
-
-<!-- Unary Operations -->
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CGroups/cg_inv.con']" mode="pure">
- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="arity" select="1"/>
- <xsl:with-param name="hide" select="1"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'minus'"/>
- </xsl:call-template>
-</xsl:template>
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CMetricFields/CMetric_Fields/cmf_abs.con']" mode="pure">
- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="hide" select="1"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'abs'"/>
- </xsl:call-template>
-</xsl:template>
-
-<!-- inv (uri errata)
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CRings/exponentiation/nexp.con']" mode="pure">
- <xsl:variable name="mbody1">
- <xsl:apply-templates select="*[2]" mode="noannot"/>
- <xsl:variable name="mbody2">
- <m:cn>1</m:cn>
- </xsl:variable>
- <xsl:call-template name="out-mml-op">
- <xsl:with-param name="arity" select="1"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'minus'"/>
- <xsl:with-param name="mbody" select="$mbody2"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:call-template name="out-mml-op">
- <xsl:with-param name="arity" select="1"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'power'"/>
- <xsl:with-param name="mbody" select="$mbody1"/>
- </xsl:call-template>
-</xsl:template>
--->
-
-<!-- Binary Operations and Relations -->
-
-<!-- setoid equality -->
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CSetoids/cs_eq.con']" mode="pure">
- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="hide" select="1"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'eq'"/>
- </xsl:call-template>
-</xsl:template>
-
-<!-- apart -->
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CSetoids/cs_ap.con']" mode="pure">
- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="hide" select="1"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'neq'"/>
- </xsl:call-template>
-</xsl:template>
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/COrdFields/leEq.con']" mode="pure">
- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="hide" select="1"/>
- <xsl:with-param name="arity" select="2"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'leq'"/>
- </xsl:call-template>
-</xsl:template>
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/COrdFields/cof_less.con']" mode="pure">
- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="hide" select="1"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'lt'"/>
- </xsl:call-template>
-</xsl:template>
-
-<!--
-<xsl:template match="APPLY[CONST/@uri='cic:/Coq/Reals/Rdefinitions/Rge.con']" mode="pure">
- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="arity" select="2"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'geq'"/>
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-</xsl:template>
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Coq/Reals/Rdefinitions/Rgt.con']" mode="pure">
- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="arity" select="2"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'gt'"/>
- </xsl:call-template>
-</xsl:template>
--->
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CRings/cr_plus.con' or
-CONST/@uri='cic:/Algebra/CSemiGroups/csg_op.con']" mode="pure">
- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="hide" select="1"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'plus'"/>
- </xsl:call-template>
-</xsl:template>
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CRings/cr_minus.con' or
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- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="hide" select="1"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'minus'"/>
- </xsl:call-template>
-</xsl:template>
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CRings/cr_mult.con']" mode="pure">
- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="hide" select="1"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'times'"/>
- </xsl:call-template>
-</xsl:template>
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CFields/cf_div.con']" mode="pure">
- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="arity" select="2"/>
- <xsl:with-param name="hide" select="1"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'divide'"/>
- </xsl:call-template>
-</xsl:template>
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CRings/Ring_constructions/nzpro.con' and count(*)='4']" mode="pure">
- <xsl:apply-templates select="*[3]" mode="pure"/>
-</xsl:template>
-
-<!--
-<xsl:template match="APPLY[CONST/@uri='cic:/Coq/Reals/Rbasic_fun/Rmin.con']" mode="pure">
- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="arity" select="2"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'min'"/>
- </xsl:call-template>
-</xsl:template>
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Coq/Reals/Rbasic_fun/Rmax.con']" mode="pure">
- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="arity" select="2"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'max'"/>
- </xsl:call-template>
-</xsl:template>
--->
-
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CRings/exponentiation/nexp.con']" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="CONST/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:call-template name="mk-mml-op-noannot">
- <xsl:with-param name="hide" select="$no_params"/>
- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'power'"/>
- </xsl:call-template>
-</xsl:template>
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CRings/exponentiation/nexp_op.con' or CONST/@uri='cic:/Algebra/Expon/Zexp_def/zexp.con']" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="CONST/@uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:variable name="mbody">
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- </xsl:variable>
- <xsl:call-template name="out-mml-op">
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- <xsl:with-param name="c-tag" select="CONST"/>
- <xsl:with-param name="m-tag" select="'power'"/>
- <xsl:with-param name="mbody" select="$mbody"/>
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-</xsl:template>
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/COrdFields/absSmall.con']" mode="pure">
- <xsl:variable name="mbody">
- <m:apply helm:xref="{@id}">
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- </xsl:call-template>
-</xsl:template>
-
-<xsl:template match="APPLY[CONST[
- attribute::uri='cic:/Algebra/COrdFields/OrdField_Cauchy/seqLimit.con']]" mode="pure">
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- </xsl:variable>
- <xsl:choose>
- <xsl:when test="count(child::*) = 3+$no_params">
- <m:apply helm:xref="{@id}">
- <m:eq definitionURL="{CONST/@uri}" helm:xref="{@id}" />
- <xsl:choose>
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- <m:limit definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
- <m:bvar>
- <m:ci>
- <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="LAMBDA/target/@binder"/></xsl:with-param></xsl:call-template>
- </m:ci>
- </m:bvar>
- <m:lowlimit>
- <m:infinity/>
- </m:lowlimit>
- <xsl:apply-templates select="*[2+$no_params]/target/*[1]" mode="noannot"/>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <m:apply helm:xref="{CONST/@id}">
- <m:limit definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
- <m:bvar>
- <m:ci>$x</m:ci>
- </m:bvar>
- <m:lowlimit>
- <m:infinity/>
- </m:lowlimit>
- <m:apply>
- <m:csymbol>app</m:csymbol>
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- <m:ci>$x</m:ci>
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- <xsl:apply-imports/>
- </xsl:otherwise>
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-
-<xsl:template match="APPLY[CONST[
- attribute::uri='cic:/Algebra/CSums/Sums/sum0.con']]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="CONST/@uri"/>
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- <m:apply helm:xref="{CONST/@id}">
- <m:sum definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
- <m:bvar>
- <m:ci>
- <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="LAMBDA/target/@binder"/></xsl:with-param></xsl:call-template>
- </m:ci>
- </m:bvar>
- <m:condition>
- <m:apply>
- <m:lt/>
- <m:ci>
- <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="LAMBDA/target/@binder"/></xsl:with-param></xsl:call-template>
- </m:ci>
- <xsl:apply-templates mode="noannot" select="*[2+$no_params]"/>
- </m:apply>
- </m:condition>
- <xsl:apply-templates select="*[3+$no_params]/target/*[1]" mode="noannot"/>
- </m:apply>
- </xsl:when>
- <xsl:otherwise>
- <m:apply helm:xref="{CONST/@id}">
- <m:sum definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
- <m:bvar>
- <m:ci>$x</m:ci>
- </m:bvar>
- <m:condition>
- <m:apply>
- <m:lt/>
- <m:ci>$x</m:ci>
- <xsl:apply-templates mode="noannot" select="*[2+$no_params]"/>
- </m:apply>
- </m:condition>
- <m:apply>
- <m:csymbol>app</m:csymbol>
- <xsl:apply-templates select="*[3+$no_params]" mode="noannot"/>
- <m:ci>$x</m:ci>
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- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<!-- sum -->
-<xsl:template match="APPLY[CONST[
- attribute::uri='cic:/Algebra/CSums/Sums/sum.con']]" mode="pure">
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="CONST/@uri"/>
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- <xsl:choose>
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- <xsl:when test="name(*[4+$no_params]) = 'LAMBDA'">
- <m:apply helm:xref="{CONST/@id}">
- <m:sum definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
- <m:bvar>
- <m:ci>
- <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="LAMBDA/target/@binder"/></xsl:with-param></xsl:call-template>
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- <m:uplimit>
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- <xsl:apply-templates select="*[4+$no_params]/target/*[1]" mode="noannot"/>
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- <xsl:otherwise>
- <m:apply helm:xref="{CONST/@id}">
- <m:sum definitionURL="{CONST/@uri}" helm:xref="{CONST/@id}"/>
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- <m:uplimit>
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-
-<!-- polynomials -->
-
-<xsl:template match="APPLY[CONST/@uri='cic:/Algebra/CPolynomials/CPoly_CRing_ctd/cpoly_apply_fun.con']" mode="pure">
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-
-</xsl:stylesheet>
-
-