<?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/. -->
+
<!--***********************************************************************-->
<!-- Extension to the XSLT version 0.07 of MathML content to presentation: -->
<!-- First draft: February 19 2000, Andrea Asperti, Irene Schena -->
<!-- Revised: March 21 2000, Irene Schena -->
<!--***********************************************************************-->
+<!-- NOTE: the namespace declaration has to be done in the stylesheets
+which generates the toplevel element (see for instance xlink) -->
<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">
+ xmlns:helm="http://www.cs.unibo.it/helm"
+ xmlns:xlink="http://www.w3.org/1999/xlink">
+
+<!-- OLD: <xsl:import href="mml2mmlv1_0.xsl"/> -->
+
+<xsl:import href="mmlnotation.xsl"/>
+
+<xsl:import href="mmltheoryextension.xsl"/>
-<xsl:import href="mml2mmlv1_0.xsl"/>
+
+<xsl:param name="explodeall" select="false()"/>
<!--***********************************************************************-->
<!-- Parameter affecting line-breaking -->
<!--***********************************************************************-->
-<xsl:variable name="framewidth" select="30"/>
+<xsl:variable name="framewidth" select="35"/>
<!--***********************************************************************-->
<!-- Gli oggetti sono stampati come mtext all'interno di una marca toplevel-->
<!-- OBJECTS -->
<!--**********************-->
+<xsl:param name="type" select="'standalone'"/>
+
<xsl:template match="/">
- <xsl:processing-instruction name="cocoon-format">type="text/xhtml"</xsl:processing-instruction>
- <xsl:apply-templates select="*"/>
+ <xsl:choose>
+ <xsl:when test="$type = 'standalone'">
+ <xsl:apply-templates select="*"/>
+ </xsl:when>
+ <xsl:otherwise>
+ <to_be_embedded>
+ <xsl:apply-templates select="*"/>
+ </to_be_embedded>
+ </xsl:otherwise>
+ </xsl:choose>
</xsl:template>
<!-- DEFINITION -->
<xsl:for-each select="Conjecture">
<m:mtr>
<m:mtd>
- <m:mrow>
+ <m:mrow helm:xref="{@helm:xref}">
<m:mphantom><m:mtext>__</m:mtext></m:mphantom>
- <m:mtext><xsl:value-of select="./@no"/>:</m:mtext>
- <xsl:apply-templates select="./*[1]"/>
+ <xsl:for-each select="Decl|Def|Hidden">
+ <xsl:choose>
+ <xsl:when test="name(.)='Decl'">
+ <m:mrow helm:xref="{@helm:xref}">
+ <xsl:choose>
+ <xsl:when test="@name">
+ <m:mi><xsl:value-of select="@name"/></m:mi>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:mi>_</m:mi>
+ </xsl:otherwise>
+ </xsl:choose>
+ <m:mo>:</m:mo>
+ <xsl:apply-templates select="./*[1]"/>
+ </m:mrow>
+ </xsl:when>
+ <xsl:when test="name(.)='Def'">
+ <m:mrow helm:xref="{@helm:xref}">
+ <xsl:choose>
+ <xsl:when test="@name">
+ <m:mi><xsl:value-of select="@name"/></m:mi>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:mi>_</m:mi>
+ </xsl:otherwise>
+ </xsl:choose>
+ <m:mo>:=</m:mo>
+ <xsl:apply-templates select="./*[1]"/>
+ </m:mrow>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:mrow helm:xref="{@helm:xref}">
+ <m:mi>_</m:mi>
+ <m:mo>:?</m:mo>
+ <m:mi>_</m:mi>
+ </m:mrow>
+ </xsl:otherwise>
+ </xsl:choose>
+ <xsl:if test="not (position() = last())">
+ <m:mo>;</m:mo>
+ </xsl:if>
+ </xsl:for-each>
+ <m:mo>|-</m:mo>
+ <m:msub><m:mi>?</m:mi><m:mn><xsl:value-of select="@no"/></m:mn></m:msub>
+ <m:mo>:</m:mo>
+ <xsl:apply-templates select="./Goal/*[1]"/>
</m:mrow>
</m:mtd>
</m:mtr>
<m:mtr>
<m:mtd>
<m:mrow>
- <m:mtext>CORRESPONDING PROOF:</m:mtext>
+ <m:mtext>PROOF:</m:mtext>
</m:mrow>
</m:mtd>
</m:mtr>
</m:mrow>
</m:mtd>
</m:mtr>
+ <xsl:if test="name(*[1])='body'">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext>AS</m:mtext>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
+ <xsl:apply-templates select="body/*[1]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </xsl:if>
+ </m:mtable>
+ </m:math>
+</xsl:template>
+
+<!-- SEQUENT -->
+
+<xsl:template match="Sequent">
+ <xsl:variable name="rowlines">
+ <xsl:for-each select="Decl|Def">
+ <xsl:if test="position() != last()">
+ <xsl:text>none </xsl:text>
+ </xsl:if>
+ </xsl:for-each>
+ <xsl:text>solid</xsl:text>
+ </xsl:variable>
+ <xsl:variable name="no" select="@no"/>
+ <m:math>
+ <m:mi><xsl:text>?</xsl:text><xsl:value-of select="$no"/></m:mi>
+ <m:mo>:</m:mo>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left" helm:xref="{@helm:xref}" rowlines="{$rowlines}">
+ <xsl:for-each select="Decl|Def">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow helm:xref="{@helm:xref}">
+ <m:mi><xsl:value-of select="@name"/></m:mi>
+ <xsl:choose>
+ <xsl:when test="name(.) = 'Decl'">
+ <m:mo>:</m:mo>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:mo>:=</m:mo>
+ </xsl:otherwise>
+ </xsl:choose>
+ <xsl:apply-templates select="*[1]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </xsl:for-each>
+ <xsl:if test="not(Decl|Def)">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </xsl:if>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:apply-templates select="Goal/*[1]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
</m:mtable>
</m:math>
</xsl:template>
<m:mtable align="baseline 1" equalrows="false" columnalign="left">
<m:mtr>
<m:mtd>
- <xsl:apply-templates select="m:ci"/>
- <m:mo>:</m:mo>
+ <m:mrow>
+ <xsl:apply-templates select="m:ci"/>
+ <m:mo>:</m:mo>
+ </m:mrow>
</m:mtd>
</m:mtr>
<m:mtr>
<m:mtd>
+ <m:mrow>
<xsl:apply-templates select="m:type"/>
+ </m:mrow>
</m:mtd>
</m:mtr>
</m:mtable>
</xsl:when>
<xsl:otherwise>
- <xsl:apply-templates select="m:ci"/>
- <m:mo>:</m:mo>
- <xsl:apply-templates select="m:type"/>
+ <m:mrow>
+ <xsl:apply-templates select="m:ci"/>
+ <m:mo>:</m:mo>
+ <xsl:apply-templates select="m:type"/>
+ </m:mrow>
</xsl:otherwise>
</xsl:choose>
</xsl:when>
<!-- CSYMBOL -->
<xsl:template match="m:apply[m:csymbol]">
+<xsl:param name="nopar" select="0"/>
<xsl:variable name="name"><xsl:value-of select="m:csymbol"/></xsl:variable>
<xsl:variable name="charlength"><xsl:apply-templates select="m:csymbol" mode="charcount"/></xsl:variable>
<m:mrow>
- <xsl:if test="@helm:xref">
- <xsl:attribute name="helm:xref"><xsl:value-of select="@helm:xref"/></xsl:attribute>
+ <xsl:if test="@id">
+ <xsl:attribute name="xref"><xsl:value-of select="@id"/></xsl:attribute>
</xsl:if>
+ <xsl:variable name="id" select="m:csymbol/@id"/>
<xsl:choose>
+ <!-- META -->
+ <xsl:when test="$name='meta'">
+ <m:mrow>
+ <xsl:apply-templates select="*[position()=2]"/>
+ <m:mfenced open="[" close="]" separators=";">
+ <xsl:apply-templates select="*[position()>2]"/>
+ </m:mfenced>
+ </m:mrow>
+ </xsl:when>
+ <!-- FORALL -->
+ <xsl:when test="$name='forall'">
+ <xsl:choose>
+ <xsl:when test="$charlength >= $framewidth">
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mo mathcolor="Blue">∀</m:mo>
+ <xsl:apply-templates select="m:bvar"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mo>.</m:mo>
+ <xsl:apply-templates select="*[position()=3]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </m:mtable>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:mo mathcolor="Blue">∀</m:mo>
+ <xsl:apply-templates select="m:bvar/m:ci"/>
+ <m:mo>:</m:mo>
+ <xsl:apply-templates select="m:bvar/m:type"/>
+ <m:mo>.</m:mo>
+ <xsl:apply-templates select="*[position()=3]"/>
+ </xsl:otherwise>
+ </xsl:choose>
+ </xsl:when>
+ <!-- LET-IN -->
+ <xsl:when test="$name='let_in'">
+ <xsl:choose>
+ <xsl:when test="$charlength >= $framewidth">
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mo>LET</m:mo>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="m:bvar"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mo>=</m:mo>
+ <xsl:apply-templates select="*[position()=3]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mo>IN</m:mo>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[position()=4]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </m:mtable>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:mo>LET</m:mo>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="m:bvar/m:ci"/>
+ <m:mo>=</m:mo>
+ <xsl:apply-templates select="*[position()=3]"/>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <m:mtext>IN</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[position()=4]"/>
+ </xsl:otherwise>
+ </xsl:choose>
+ </xsl:when>
+ <!-- PROD -->
<xsl:when test="$name='prod'">
<xsl:choose>
<xsl:when test="$charlength >= $framewidth">
<m:mtable align="baseline 1" equalrows="false" columnalign="left">
<m:mtr>
<m:mtd>
- <m:mo color="Blue">Π</m:mo>
+ <m:mrow>
+ <m:mo mathcolor="Blue">Π</m:mo>
<xsl:apply-templates select="m:bvar"/>
+ </m:mrow>
</m:mtd>
</m:mtr>
<m:mtr>
</m:mtable>
</xsl:when>
<xsl:otherwise>
- <m:mo color="Blue">Π</m:mo>
+ <m:mo mathcolor="Blue">Π</m:mo>
<xsl:apply-templates select="m:bvar/m:ci"/>
<m:mo>:</m:mo>
<xsl:apply-templates select="m:bvar/m:type"/>
</xsl:otherwise>
</xsl:choose>
</xsl:when>
+ <!-- ARROW -->
<xsl:when test="$name='arrow'">
<xsl:choose>
<xsl:when test="$charlength >= $framewidth">
<m:mtr>
<m:mtd>
<m:mrow>
- <m:mo stretchy="false">(</m:mo>
+ <xsl:if test="$nopar=0">
+ <m:mo stretchy="false">(</m:mo>
+ </xsl:if>
<xsl:apply-templates select="*[position()=2]"/>
</m:mrow>
</m:mtd>
<m:mtr>
<m:mtd>
<m:mrow>
- <m:mo color="Blue">→</m:mo>
- <xsl:apply-templates select="*[position()=3]"/>
+ <m:mo mathmathcolor="Blue">→</m:mo>
+ <xsl:choose>
+ <xsl:when test="*[position()=3]/m:csymbol">
+ <xsl:variable name="nextp"><xsl:value-of select="*[position()=3]/m:csymbol"/></xsl:variable>
+ <xsl:choose>
+ <xsl:when test="$nextp='arrow'">
+ <xsl:apply-templates select="*[position()=3]"><xsl:with-param name="nopar" select="1"/></xsl:apply-templates>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:apply-templates select="*[position()=3]"/>
+ </xsl:otherwise>
+ </xsl:choose>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:apply-templates select="*[position()=3]"/>
+ </xsl:otherwise>
+ </xsl:choose>
</m:mrow>
</m:mtd>
</m:mtr>
+ <xsl:if test="$nopar=0">
<m:mtr>
<m:mtd>
<m:mrow>
</m:mrow>
</m:mtd>
</m:mtr>
+ </xsl:if>
</m:mtable>
</xsl:when>
<xsl:otherwise>
- <m:mo stretchy="false">(</m:mo>
+ <xsl:if test="$nopar=0">
+ <m:mo stretchy="false">(</m:mo>
+ </xsl:if>
<xsl:apply-templates select="*[position()=2]"/>
- <m:mo color="Blue">→</m:mo>
- <xsl:apply-templates select="*[position()=3]"/>
- <m:mo stretchy="false">)</m:mo>
+ <m:mo mathcolor="Blue">→</m:mo>
+ <xsl:choose>
+ <xsl:when test="*[position()=3]/m:csymbol">
+ <xsl:variable name="nextp"><xsl:value-of select="*[position()=3]/m:csymbol"/></xsl:variable>
+ <xsl:choose>
+ <xsl:when test="$nextp='arrow'">
+ <xsl:apply-templates select="*[position()=3]"><xsl:with-param name="nopar" select="1"/></xsl:apply-templates>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:apply-templates select="*[position()=3]"/>
+ </xsl:otherwise>
+ </xsl:choose>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:apply-templates select="*[position()=3]"/>
+ </xsl:otherwise>
+ </xsl:choose>
+ <xsl:if test="$nopar=0">
+ <m:mo stretchy="false">)</m:mo>
+ </xsl:if>
</xsl:otherwise>
</xsl:choose>
</xsl:when>
+ <!-- APP -->
<xsl:when test="$name='app'">
<xsl:choose>
<xsl:when test="$charlength >= $framewidth">
<m:mtd>
<m:mrow>
<m:mo stretchy="false">(</m:mo>
- <xsl:apply-templates select="*[position()=2]"/>
+<!-- added precedence to app = FUNCTION_PREC (99) -->
+ <xsl:apply-templates select="*[position()=2]">
+ <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
+ </xsl:apply-templates>
</m:mrow>
</m:mtd>
</m:mtr>
<m:mtd>
<m:mrow>
<m:mphantom><m:mtext>(</m:mtext></m:mphantom>
- <xsl:apply-templates select="."/>
+<!-- added precedence to app = FUNCTION_PREC (99) -->
+ <xsl:apply-templates select=".">
+ <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
+ </xsl:apply-templates>
</m:mrow>
</m:mtd>
</m:mtr>
</xsl:when>
<xsl:otherwise>
<m:mo stretchy="false">(</m:mo>
- <xsl:apply-templates select="*[position()=2]"/>
+<!-- added precedence to app = FUNCTION_PREC (99) -->
+ <xsl:apply-templates select="*[position()=2]">
+ <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
+ </xsl:apply-templates>
<xsl:for-each select="*[position()>2]">
<m:mphantom><m:mtext>_</m:mtext></m:mphantom>
- <xsl:apply-templates select="."/>
+<!-- added precedence to app = FUNCTION_PREC (99) -->
+ <xsl:apply-templates select=".">
+ <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
+ </xsl:apply-templates>
</xsl:for-each>
<m:mo stretchy="false">)</m:mo>
</xsl:otherwise>
</xsl:choose>
</xsl:when>
+ <!-- CAST -->
<xsl:when test="$name='cast'">
<xsl:choose>
<xsl:when test="$charlength >= $framewidth">
<m:mtr>
<m:mtd>
<m:mrow>
- <m:mo color="#b03060">:></m:mo>
+ <m:mo mathcolor="Maroon">:></m:mo>
<xsl:apply-templates select="*[position()=3]"/>
</m:mrow>
</m:mtd>
<xsl:otherwise>
<m:mo stretchy="false">(</m:mo>
<xsl:apply-templates select="*[position()=2]"/>
- <m:mo color="#b03060">:></m:mo>
+ <m:mo mathcolor="Maroon">:></m:mo>
<xsl:apply-templates select="*[position()=3]"/>
<m:mo stretchy="false">)</m:mo>
</xsl:otherwise>
</xsl:choose>
</xsl:when>
+ <!-- PROP -->
<xsl:when test="$name='Prop'">
<m:mo>Prop</m:mo>
</xsl:when>
+ <!-- SET -->
<xsl:when test="$name='Set'">
<m:mo>Set</m:mo>
</xsl:when>
+ <!-- TYPE -->
<xsl:when test="$name='Type'">
<m:mo>Type</m:mo>
</xsl:when>
+ <!-- MUTCASE -->
<xsl:when test="$name='mutcase'">
<xsl:choose>
<xsl:when test="$charlength >= $framewidth">
</m:mrow>
</m:mtd>
</m:mtr>
- <xsl:for-each select="*[position() mod 2 = 0 and position()>3]">
- <xsl:variable name="charlength"><xsl:apply-templates select="." mode="charcount"><xsl:with-param name="nosibling" select="1"/></xsl:apply-templates></xsl:variable>
+ <xsl:for-each select="m:piecewise/m:piece">
+ <xsl:variable name="charlength"><xsl:apply-templates select="./*[2]" mode="charcount"><xsl:with-param name="nosibling" select="1"/></xsl:apply-templates></xsl:variable>
<m:mtr>
<m:mtd>
<m:mrow>
</xsl:otherwise>
</xsl:choose>
<m:mphantom><m:mtext>_</m:mtext></m:mphantom>
- <xsl:apply-templates select="."/>
+ <xsl:apply-templates select="./*[2]"/>
<xsl:if test="$framewidth > $charlength">
- <m:mo color="Green">⇒</m:mo>
- <xsl:apply-templates select="following-sibling::*[position()= 1]"/>
+ <m:mo mathcolor="Green">⇒</m:mo>
+ <xsl:apply-templates select="./*[1]"/>
</xsl:if>
</m:mrow>
</m:mtd>
<m:mtd>
<m:mrow>
<m:mphantom><m:mtext>|_</m:mtext></m:mphantom>
- <m:mo color="Green">⇒</m:mo>
- <xsl:apply-templates select="following-sibling::*[position()= 1]"/>
+ <m:mo mathcolor="Green">⇒</m:mo>
+ <xsl:apply-templates select="./*[1]"/>
</m:mrow>
</m:mtd>
</m:mtr>
<xsl:apply-templates select="*[position()=3]"/>
<m:mphantom><m:mtext>_</m:mtext></m:mphantom>
<m:mo>OF</m:mo>
- <xsl:for-each select="*[position() mod 2 = 0 and position()>3]">
+ <xsl:for-each select="m:piecewise/m:piece">
<xsl:choose>
<xsl:when test="position() != 1">
<m:mo stretchy="false">|</m:mo>
</xsl:when>
</xsl:choose>
- <xsl:apply-templates select="."/>
- <m:mo color="Green">⇒</m:mo>
- <xsl:apply-templates select="following-sibling::*[position()= 1]"/>
+ <xsl:apply-templates select="./*[2]"/>
+ <m:mo mathcolor="Green">⇒</m:mo>
+ <xsl:apply-templates select="./*[1]"/>
</xsl:for-each>
<m:mphantom><m:mtext>_</m:mtext></m:mphantom>
<m:mo>END</m:mo>
</xsl:otherwise>
</xsl:choose>
</xsl:when>
+ <!-- FIX -->
<xsl:when test="$name='fix'">
<xsl:choose>
<xsl:when test="$charlength >= $framewidth">
</xsl:otherwise>
</xsl:choose>
</xsl:when>
+ <!-- COFIX -->
<xsl:when test="$name='cofix'">
<xsl:choose>
<xsl:when test="$charlength >= $framewidth">
<!-- ***************************************** -->
<!-- *********** PROOF ELEMENTS ************** -->
<!-- ***************************************** -->
+ <!-- PROOF -->
<xsl:when test="$name='proof'">
+ <!-- CSC: $explodeall until the annotationHelper can handle mactions -->
+ <xsl:variable name="test" select="(not($explodeall)) and
+ (not(preceding-sibling::*[1]/text()='letin1')) and
+ (not(preceding-sibling::*[1]/text()='rw_step')) and
+ (not(name(..)='m:lambda'))"/>
+ <xsl:variable name="hidden_details">
+ <xsl:if test="$test">
+ <!-- Details hided (default) -->
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext mathcolor="Red">We can prove</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <!-- the last child is either the expected type, if provided,-->
+ <!-- or the synthesized type. -->
+ <xsl:apply-templates select="*[position()=last()]"/>
+ <m:mrow>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <m:mtext mathcolor="Green">(explain)</m:mtext>
+ </m:mrow>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </m:mtable>
+ </xsl:if>
+ </xsl:variable>
+ <xsl:variable name="shown_details">
+ <!-- Show details -->
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:apply-templates select="*[position()=2]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <xsl:variable name="hidedetails">
+ <m:mrow>
+ <m:mphantom>
+ <m:mtext>_</m:mtext>
+ </m:mphantom>
+ <xsl:if test="$test">
+ <m:mtext mathcolor="Green">(hide details)</m:mtext>
+ </xsl:if>
+ </m:mrow>
+ </xsl:variable>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext mathcolor="Red">we proved</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[position()=3]"/>
+ <xsl:if test="not(*[4])">
+ <xsl:copy-of select="$hidedetails"/>
+ </xsl:if>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <xsl:if test="*[4]">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext mathcolor="Red">that is equivalent to</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[position()=4]"/>
+ <xsl:copy-of select="$hidedetails"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </xsl:if>
+ </m:mtable>
+ </xsl:variable>
+ <xsl:choose>
+ <xsl:when test="$test">
+ <m:maction actiontype="toggle">
+ <xsl:copy-of select="$hidden_details"/>
+ <xsl:copy-of select="$shown_details"/>
+ </m:maction>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:copy-of select="$shown_details"/>
+ </xsl:otherwise>
+ </xsl:choose>
+ </xsl:when>
+ <!-- SIDE_PROOF -->
+ <xsl:when test="$name='side_proof'">
+ <xsl:variable name="test" select="(not($explodeall))"/>
+ <xsl:variable name="hidden_details">
+ <xsl:if test="$test">
+ <!-- Details hided (default) -->
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext mathcolor="Red">We can prove</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <!-- the last child is either the expected type, if provided,-->
+ <!-- or the synthesized type. -->
+ <xsl:apply-templates select="*[position()=last()]"/>
+ <m:mrow>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <m:mtext mathcolor="Green">(explain)</m:mtext>
+ </m:mrow>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </m:mtable>
+ </xsl:if>
+ </xsl:variable>
+ <xsl:variable name="shown_details">
+ <!-- Show details -->
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:apply-templates select="*[position()=2]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <xsl:variable name="hidedetails">
+ <m:mrow>
+ <m:mphantom>
+ <m:mtext>_</m:mtext>
+ </m:mphantom>
+ <xsl:if test="$test">
+ <m:mtext mathcolor="Green">(hide details)</m:mtext>
+ </xsl:if>
+ </m:mrow>
+ </xsl:variable>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext mathcolor="Red">we proved</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[position()=3]"/>
+ <xsl:if test="not(*[4])">
+ <xsl:copy-of select="$hidedetails"/>
+ </xsl:if>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <xsl:if test="*[4]">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext mathcolor="Red">that is equivalent to</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[position()=4]"/>
+ <xsl:copy-of select="$hidedetails"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </xsl:if>
+ </m:mtable>
+ </xsl:variable>
+ <xsl:choose>
+ <xsl:when test="$test">
+ <m:maction actiontype="toggle">
+ <xsl:copy-of select="$hidden_details"/>
+ <xsl:copy-of select="$shown_details"/>
+ </m:maction>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:copy-of select="$shown_details"/>
+ </xsl:otherwise>
+ </xsl:choose>
+ </xsl:when>
+ <!-- LETIN1 -->
+ <xsl:when test="$name='letin1'">
<m:mtable align="baseline 1" equalrows="false" columnalign="left">
<m:mtr>
<m:mtd>
<m:mtr>
<m:mtd>
<m:mrow>
- <m:mtext color="#b03060">we proved </m:mtext>
<xsl:apply-templates select="*[position()=3]"/>
</m:mrow>
</m:mtd>
</m:mtr>
</m:mtable>
</xsl:when>
- <xsl:when test="$name='letin'">
- <m:mtable align="baseline 1" equalrows="false" columnalign="left">
- <!-- <xsl:for-each select="APPLY[m:csymbol and (string(m:csymbol)='let')]"> -->
- <xsl:for-each select="*[(last() > position()) and (position()>1)]">
- <m:mtr>
- <m:mtd>
- <m:mrow>
- <xsl:apply-templates select="."/>
- </m:mrow>
- </m:mtd>
- </m:mtr>
- </xsl:for-each>
- <m:mtr>
- <m:mtd>
- <m:mrow>
- <xsl:apply-templates select="*[position()=last()]"/>
- </m:mrow>
- </m:mtd>
- </m:mtr>
- </m:mtable>
- </xsl:when>
- <xsl:when test="$name='let'">
- <m:mtext>(</m:mtext>
- <xsl:apply-templates select="m:ci"/>
- <m:mtext>) </m:mtext>
- <xsl:apply-templates select="*[3]"/>
+ <xsl:when test="$name='by_induction'">
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext mathcolor="Red">We prove</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="../*[3]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext mathcolor="Red">by induction on</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates
+ select="*[position()=last()]/*[position()=last()]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <xsl:for-each select="*[position()>3 and not(position()=last())]">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:apply-templates select="."/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </xsl:for-each>
+ </m:mtable>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </m:mtable>
</xsl:when>
- <xsl:when test="$name='thread'">
- <m:mtable align="baseline 1" equalrows="false" columnalign="left">
- <m:mtr>
- <m:mtd>
- <m:mrow>
- <xsl:choose>
- <xsl:when test="name(*[last()])='m:apply'">
- <xsl:apply-templates select="*[last()]"/>
+ <!-- inductive_case -->
+ <xsl:when test="$name='inductive_case'">
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext mathcolor="Red">Case</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[2]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <xsl:if test="*[3]/*[position()>1]">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext mathcolor="Red">By induction hypothesis, we have:</m:mtext>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:for-each select="*[3]/*[position()>1]">
+ <m:mo stretchy="false">(</m:mo>
+ <xsl:apply-templates select="m:ci"/>
+ <m:mo stretchy="false">) </m:mo>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="m:type"/>
+ </xsl:for-each>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </xsl:if>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:apply-templates select="*[4]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </m:mtable>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </m:mtable>
+ </xsl:when>
+ <!-- case_lhs -->
+ <xsl:when test="$name='case_lhs'">
+ <m:mrow>
+ <xsl:choose>
+ <xsl:when test="count(*)=2">
+ <xsl:apply-templates select="*[2]"/>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:mo stretchy="false">(</m:mo>
+ <xsl:apply-templates select="*[2]"/>
+ <xsl:for-each select="m:bvar">
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[1]"/>
+ <m:mtext>:</m:mtext>
+ <xsl:apply-templates select="m:type/*[1]"/>
+ </xsl:for-each>
+ <m:mo stretchy="false">)</m:mo>
+ </xsl:otherwise>
+ </xsl:choose>
+ </m:mrow>
+ </xsl:when>
+ <!-- false_ind -->
+ <xsl:when test="$name='false_ind'">
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:apply-templates select="*[3]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext mathcolor="Red">Contradiction.</m:mtext>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </m:mtable>
+ </xsl:when>
+ <!-- LET-IN -->
+ <xsl:when test="$name='letin'">
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <!-- <xsl:for-each select="APPLY[m:csymbol and (string(m:csymbol)='let')]"> -->
+ <xsl:for-each select="*[(last() > position()) and (position()>1)]">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:apply-templates select="."/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </xsl:for-each>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:apply-templates select="*[position()=last()]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </m:mtable>
+ </xsl:when>
+ <!-- LET -->
+ <xsl:when test="$name='let'">
+ <m:mtext>(</m:mtext>
+ <xsl:apply-templates select="m:ci"/>
+ <m:mtext>) </m:mtext>
+ <xsl:apply-templates select="*[3]"/>
+ </xsl:when>
+ <!-- RW_STEP -->
+ <xsl:when test="$name='rw_step'">
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:choose>
+ <xsl:when test="name(*[2])='m:apply'">
+ <xsl:apply-templates select="*[2]"/>
</xsl:when>
<xsl:otherwise>
- <m:mtext>Consider </m:mtext>
- <xsl:apply-templates select="*[last()]"/>
+ <m:mtext>Consider</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[2]"/>
</xsl:otherwise>
</xsl:choose>
</m:mrow>
</m:mtd>
</m:mtr>
- <xsl:apply-templates mode="thread" select="*[(last()-2)]"/>
- </m:mtable>
- </xsl:when>
- <xsl:when test="$name='rewrite_and_apply'">
- <m:mtable>
<m:mtr>
<m:mtd>
<m:mrow>
<m:mtext>Rewrite</m:mtext>
<m:mphantom><m:mtext>_</m:mtext></m:mphantom>
- <xsl:apply-templates select="*[2]/*[2]"/>
+ <xsl:apply-templates select="*[3]"/>
<m:mphantom><m:mtext>_</m:mtext></m:mphantom>
<m:mtext>with</m:mtext>
<m:mphantom><m:mtext>_</m:mtext></m:mphantom>
- <xsl:apply-templates select="*[2]/*[3]"/>
+ <xsl:apply-templates select="*[4]"/>
<m:mphantom><m:mtext>_</m:mtext></m:mphantom>
<m:mtext>by</m:mtext>
<m:mphantom><m:mtext>_</m:mtext></m:mphantom>
- <xsl:apply-templates select="*[2]/*[4]"/>
- <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
- <m:mtext>in</m:mtext>
- <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
- <xsl:apply-templates select="*[3]"/>
- <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
- <m:mtext>and apply</m:mtext>
+ <xsl:apply-templates select="*[5]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </m:mtable>
+ </xsl:when>
+ <!-- not existing any more
+ <xsl:when test="$name='thread'">
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:choose>
+ <xsl:when test="name(*[last()])='m:apply'">
+ <xsl:apply-templates select="*[last()]"/>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:mtext>Consider</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[last()]"/>
+ </xsl:otherwise>
+ </xsl:choose>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <xsl:apply-templates mode="thread" select="*[(last()-2)]"/>
+ </m:mtable>
+ </xsl:when>
+ -->
+ <!-- REWRITE_AND_APPLY -->
+ <xsl:when test="$name='rewrite_and_apply'">
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:apply-templates select="*[2]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext>Then apply it to</m:mtext>
<m:mphantom><m:mtext>_</m:mtext></m:mphantom>
- <xsl:apply-templates select="*[position()>3]"/>
+ <xsl:apply-templates select="*[position()>2]"/>
</m:mrow>
</m:mtd>
</m:mtr>
</m:mtable>
- </xsl:when>
+ </xsl:when>
+ <!-- AND_IND -->
<xsl:when test="$name='and_ind'">
<m:mtable align="baseline 1" equalrows="false" columnalign="left">
<m:mtr>
<xsl:apply-templates select="*[2]"/>
</xsl:when>
<xsl:otherwise>
- <m:mtext>Consider </m:mtext>
+ <m:mtext>Consider</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
<xsl:apply-templates select="*[2]"/>
</xsl:otherwise>
</xsl:choose>
</m:mtr>
<m:mtr>
<m:mtd>
- <m:mtext>In particular, we have</m:mtext>
+ <m:mrow>
+ <m:mtext>In particular, we have</m:mtext>
+ </m:mrow>
</m:mtd>
</m:mtr>
<m:mtr>
<m:mtext>(</m:mtext>
<xsl:apply-templates select="*[3]"/>
<m:mtext>)</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
<xsl:apply-templates select="*[4]"/>
</m:mrow>
</m:mtd>
<m:mtext>(</m:mtext>
<xsl:apply-templates select="*[5]"/>
<m:mtext>)</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
<xsl:apply-templates select="*[6]"/>
</m:mrow>
</m:mtd>
</m:mtr>
</m:mtable>
</xsl:when>
+ <!-- full_or_ind -->
+ <xsl:when test="$name='full_or_ind'">
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:choose>
+ <xsl:when test="name(*[2])='m:apply'">
+ <xsl:apply-templates select="*[2]"/>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:mtext>Consider</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[2]"/>
+ </xsl:otherwise>
+ </xsl:choose>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext>We proceed by cases to prove</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[3]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext>Left: suppose</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <m:mo stretchy="false">(</m:mo>
+ <xsl:apply-templates select="*[4]/m:bvar/m:ci"/>
+ <m:mo stretchy="false">)</m:mo>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[4]/m:bvar/m:type/*[1]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[4]/*[3]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext>Right: suppose</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <m:mo stretchy="false">(</m:mo>
+ <xsl:apply-templates select="*[5]/m:bvar/m:ci"/>
+ <m:mo stretchy="false">)</m:mo>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[5]/m:bvar/m:type/*[1]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:apply-templates select="*[5]/*[3]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </m:mtable>
+ </xsl:when>
+ <!-- OR_IND -->
<xsl:when test="$name='or_ind'">
<m:mtable align="baseline 1" equalrows="false" columnalign="left">
<m:mtr>
</m:mtr>
<m:mtr>
<m:mtd>
- <m:mtext>We prove</m:mtext>
- <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
- <xsl:apply-templates select="*[3]"/>
- <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
- <m:mtext>by cases:</m:mtext>
+ <m:mrow>
+ <m:mtext>We prove</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[3]"/>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <m:mtext>by cases:</m:mtext>
+ </m:mrow>
</m:mtd>
</m:mtr>
<m:mtr>
<m:mtd>
<m:mrow>
- <m:mtext>*</m:mtext>
+ <m:mtext>Left</m:mtext>
<xsl:apply-templates select="*[4]"/>
</m:mrow>
</m:mtd>
<m:mtr>
<m:mtd>
<m:mrow>
- <m:mtext>*</m:mtext>
+ <m:mtext>Right</m:mtext>
<xsl:apply-templates select="*[5]"/>
</m:mrow>
</m:mtd>
</m:mtr>
</m:mtable>
</xsl:when>
+ <!-- EX_IND -->
+ <xsl:when test="$name='ex_ind'">
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:choose>
+ <xsl:when test="name(*[2])='m:apply'">
+ <xsl:apply-templates select="*[2]"/>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:mtext>Consider</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[2]"/>
+ </xsl:otherwise>
+ </xsl:choose>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext>Let</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[3]"/>
+ <m:mtext>:</m:mtext>
+ <xsl:apply-templates select="*[4]"/>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <m:mtext>such that</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <m:mtext>(</m:mtext>
+ <xsl:apply-templates select="*[5]"/>
+ <m:mtext>)</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="*[6]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:apply-templates select="*[7]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </m:mtable>
+ </xsl:when>
+ <!-- EQ_CHAIN -->
+ <xsl:when test="$name='eq_chain'">
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext mathcolor="Red">We have the following equality chain:</m:mtext>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <xsl:for-each select="*[position() mod 2 = 0]">
+ <xsl:variable name="pos" select="position()"/>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:choose>
+ <xsl:when test="$pos = 1">
+ <xsl:apply-templates select="."/>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <m:mo>=</m:mo>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:mo>=</m:mo>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="."/>
+ </xsl:otherwise>
+ </xsl:choose>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <xsl:if test="$pos != last()">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
+ <xsl:apply-templates select="../*[position()=2*$pos +1]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </xsl:if>
+ </xsl:for-each>
+ </m:mtable>
+ </xsl:when>
+ <!-- DISEQ_CHAIN -->
+ <xsl:when test="$name='diseq_chain'">
+ <m:mtable align="baseline 1" equalrows="false" columnalign="left">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mtext mathcolor="Red">We have the following disequality chain:</m:mtext>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <xsl:for-each select="*[position() mod 3 = 2]">
+ <xsl:variable name="pos" select="position()"/>
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <xsl:choose>
+ <xsl:when test="$pos = 1">
+ <xsl:apply-templates select="."/>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <mo><xsl:apply-templates select="../*[position()=3*$pos]"/></mo>
+ </xsl:when>
+ <xsl:otherwise>
+ <mo><xsl:apply-templates select="../*[position()=3*($pos - 1)]"/></mo>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
+ <xsl:apply-templates select="."/>
+ </xsl:otherwise>
+ </xsl:choose>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ <xsl:if test="$pos != last()">
+ <m:mtr>
+ <m:mtd>
+ <m:mrow>
+ <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
+ <xsl:apply-templates select="../*[position()=3*$pos +1]"/>
+ </m:mrow>
+ </m:mtd>
+ </m:mtr>
+ </xsl:if>
+ </xsl:for-each>
+ </m:mtable>
+ </xsl:when>
+ <!-- ***************************************** -->
+ <!-- *********** NOTATIONS ******************* -->
+ <!-- ***************************************** -->
+ <!-- subst -->
+ <xsl:when test="$name='subst'">
+ <xsl:apply-templates select="*[3]"/>
+<!-- no font for ApplyFunction: <m:mo></m:mo> -->
+ <m:mo stretchy="false">[</m:mo>
+ <xsl:apply-templates select="*[4]"/>
+ <m:mo mathcolor="Green">
+ <xsl:if test="$id != ''">
+ <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
+ </xsl:if>←</m:mo>
+ <xsl:apply-templates select="*[2]"/>
+ <m:mo stretchy="false">]</m:mo>
+ </xsl:when>
+ <!-- lift -->
+ <xsl:when test="$name='lift'">
+ <m:msup>
+ <m:mo mathcolor="Green">
+ <xsl:if test="$id != ''">
+ <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
+ </xsl:if>↑</m:mo>
+ <xsl:apply-templates select="*[2]"/>
+ </m:msup>
+ <m:mrow>
+ <m:mo stretchy="false">(</m:mo>
+ <xsl:apply-templates select="*[3]"/>
+ <m:mo stretchy="false">)</m:mo>
+ </m:mrow>
+ </xsl:when>
+ <!-- lift_with_base -->
+ <xsl:when test="$name='lift_with_base'">
+ <m:msubsup>
+ <m:mo mathcolor="Green">
+ <xsl:if test="$id != ''">
+ <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
+ </xsl:if>↑</m:mo>
+ <xsl:apply-templates select="*[3]"/>
+ <xsl:apply-templates select="*[4]"/>
+ </m:msubsup>
+ <m:mrow>
+ <m:mo stretchy="false">(</m:mo>
+ <xsl:apply-templates select="*[2]"/>
+ <m:mo stretchy="false">)</m:mo>
+ </m:mrow>
+ </xsl:when>
+ <!-- beta_red1 -->
+ <xsl:when test="$name='beta_red1'">
+ <xsl:apply-templates select="*[2]"/>
+ <m:munder>
+ <m:mo mathcolor="Green">
+ <xsl:if test="$id != ''">
+ <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
+ </xsl:if>→</m:mo>
+ <m:mi mathcolor="Green">β</m:mi>
+ </m:munder>
+ <xsl:apply-templates select="*[3]"/>
+ </xsl:when>
+ <!-- beta_red -->
+ <xsl:when test="$name='beta_red'">
+ <xsl:apply-templates select="*[2]"/>
+ <m:munderover>
+ <m:mo mathcolor="Green">
+ <xsl:if test="$id != ''">
+ <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
+ </xsl:if>→</m:mo>
+ <m:mi mathcolor="Green">β</m:mi>
+ <m:mi mathcolor="Green">*</m:mi>
+ </m:munderover>
+ <xsl:apply-templates select="*[3]"/>
+ </xsl:when>
+ <!-- par_beta_red1 -->
+ <xsl:when test="$name='par_beta_red1'">
+ <xsl:apply-templates select="*[2]"/>
+ <m:munder>
+ <m:mo mathcolor="Green">
+ <xsl:if test="$id != ''">
+ <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
+ </xsl:if>⇒</m:mo>
+ <m:mi mathcolor="Green">β</m:mi>
+ </m:munder>
+ <xsl:apply-templates select="*[3]"/>
+ </xsl:when>
+ <!-- par_beta_red -->
+ <xsl:when test="$name='par_beta_red'">
+ <xsl:apply-templates select="*[2]"/>
+ <m:munderover>
+ <m:mo mathcolor="Green">
+ <xsl:if test="$id != ''">
+ <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
+ </xsl:if>⇒</m:mo>
+ <m:mi mathcolor="Green">β</m:mi>
+ <m:mi mathcolor="Green">*</m:mi>
+ </m:munderover>
+ <xsl:apply-templates select="*[3]"/>
+ </xsl:when>
+ <!-- forgetful -->
+ <xsl:when test="$name='forgetful'">
+ <m:mfenced open="|" close="|">
+ <xsl:if test="$id != ''">
+ <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
+ </xsl:if>
+ <xsl:apply-templates select="*[2]"/>
+ </m:mfenced>
+ </xsl:when>
+ <!-- isomorphic -->
+ <xsl:when test="$name='isomorphic'">
+ <xsl:apply-templates select="*[2]"/>
+ <m:mo mathcolor="Green">
+ <xsl:if test="$id != ''">
+ <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
+ </xsl:if>≅</m:mo>
+ <xsl:apply-templates select="*[3]"/>
+ </xsl:when>
+ <!-- interp -->
+ <xsl:when test="$name='forgetful'">
+ <m:mfenced open="[" close="]">
+ <xsl:if test="$id != ''">
+ <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
+ </xsl:if>
+ <xsl:apply-templates select="*[2]"/>
+ </m:mfenced>
+ </xsl:when>
+
+ <!-- ERROR -->
<xsl:otherwise>
- <m:ci>ERROR</m:ci>
+ <m:mi>ERROR</m:mi>
</xsl:otherwise>
</xsl:choose>
</m:mrow>
</xsl:template>
+<!-- Il modo Thread non esiste piu'
<xsl:template match="*" mode="thread">
<xsl:variable name="name"><xsl:value-of select="following-sibling::*[position()=1]/m:csymbol"/></xsl:variable>
<xsl:choose>
<m:mtr>
<m:mtd>
<m:mrow>
+ <m:mtext mathcolor="Red">we get</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
<xsl:apply-templates select="."/>
</m:mrow>
</m:mtd>
<m:mtr>
<m:mtd>
<m:mrow>
+ <m:mtext mathcolor="Red">we get</m:mtext>
+ <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
<xsl:apply-templates select="."/>
</m:mrow>
</m:mtd>
</xsl:choose>
<xsl:apply-templates mode="thread" select="preceding-sibling::*[position()=2]"/>
</xsl:template>
-
+-->
<!-- LAMBDA -->
<xsl:template match="m:lambda">
<xsl:variable name="charlength"><xsl:apply-templates select="*[position()=1]" mode="charcount"/></xsl:variable>
- <m:mrow helm:xref="{@helm:xref}">
+ <m:mrow>
+ <xsl:if test="@id">
+ <xsl:attribute name="xref">
+ <xsl:value-of select="@id"/>
+ </xsl:attribute>
+ </xsl:if>
<xsl:choose>
<xsl:when test="$charlength >= $framewidth">
<m:mtable align="baseline 1" equalrows="false" columnalign="left">
<m:mtr>
<m:mtd>
- <m:mo color="Red">λ</m:mo>
+ <m:mrow>
+ <m:mo mathcolor="Red">λ</m:mo>
<xsl:apply-templates select="m:bvar"/>
+ </m:mrow>
</m:mtd>
</m:mtr>
<m:mtr>
</m:mtable>
</xsl:when>
<xsl:otherwise>
- <m:mo color="Red">λ</m:mo>
+ <m:mo mathcolor="Red">λ</m:mo>
<xsl:apply-templates select="m:bvar/m:ci"/>
<m:mo>:</m:mo>
<xsl:apply-templates select="m:bvar/m:type"/>
</m:mrow>
</xsl:template>
-<!-- *********************************** -->
-<!-- BASE SET OF MATHML CONTENT ELEMENTS -->
-<!-- *********************************** -->
-
-<!-- Logic -->
-
-<xsl:template match = "m:apply[m:eq[1]]">
- <xsl:variable name="charlength">
- <xsl:apply-templates select="*[1]" mode="charcount"/>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="$charlength >= $framewidth">
- <m:mtable align="baseline 1" equalrows="false" columnalign="left">
- <xsl:if test="@helm:xref">
- <xsl:attribute name="helm:xref">
- <xsl:value-of select="@helm:xref"/>
- </xsl:attribute>
- </xsl:if>
- <m:mtr>
- <m:mtd>
- <m:mo stretchy="false">(</m:mo>
- <xsl:apply-templates select="*[position()=2]"/>
- </m:mtd>
- </m:mtr>
- <xsl:for-each select = "*[position()>2]">
- <m:mtr>
- <m:mtd>
- <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
- <m:mo helm:xref="m:in/@helm:xref">
- =
- </m:mo>
- <xsl:apply-templates select="."/>
- </m:mtd>
- </m:mtr>
- </xsl:for-each>
- <m:mtr>
- <m:mtd>
- <m:mo stretchy="false">)</m:mo>
- </m:mtd>
- </m:mtr>
- </m:mtable>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-
-<xsl:template match = "m:apply[m:and[1]|m:or[1]
- |m:geq[1]|m:leq[1]|m:gt[1]|m:lt[1]
- |m:in[1]|m:intesect[1]|m:union[1]|m:subset[1]
- |m:prsubset|m:setdiff[1]]">
- <xsl:variable name="symbol">
- <xsl:choose>
- <xsl:when test="m:and[1]">
- <xsl:value-of select="'wedge'"/>
- </xsl:when>
- <xsl:when test="m:or[1]">
- <xsl:value-of select="'vee'"/>
- </xsl:when>
- <xsl:when test="m:geq[1]">
- <xsl:value-of select="'geq'"/>
- </xsl:when>
- <xsl:when test="m:leq[1]">
- <xsl:value-of select="'leq'"/>
- </xsl:when>
- <xsl:when test="m:gt[1]">
- <xsl:value-of select="'gt'"/>
- </xsl:when>
- <xsl:when test="m:lt[1]">
- <xsl:value-of select="'lt'"/>
- </xsl:when>
- <xsl:when test="m:eq[1]">
- <xsl:value-of select="'Equal'"/>
- </xsl:when>
- <xsl:when test="m:in[1]">
- <xsl:value-of select="'Element'"/>
- </xsl:when>
- <xsl:when test="m:subset[1]">
- <xsl:value-of select="'SubsetEqual'"/>
- </xsl:when>
- <xsl:when test="m:prsubset[1]">
- <xsl:value-of select="'subset'"/>
- </xsl:when>
- <xsl:when test="m:intersect[1]">
- <xsl:value-of select="'Intersection'"/>
- </xsl:when>
- <xsl:when test="m:union[1]">
- <xsl:value-of select="'Union'"/>
- </xsl:when>
- <xsl:when test="m:setdiff[1]">
- <xsl:value-of select="'Backslash'"/>
- </xsl:when>
- </xsl:choose>
- </xsl:variable>
- <xsl:variable name="charlength">
- <xsl:apply-templates select="*[1]" mode="charcount"/>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="$charlength >= $framewidth">
- <m:mtable align="baseline 1" equalrows="false" columnalign="left">
- <xsl:if test="@helm:xref">
- <xsl:attribute name="helm:xref">
- <xsl:value-of select="@helm:xref"/>
- </xsl:attribute>
- </xsl:if>
- <m:mtr>
- <m:mtd>
- <m:mo stretchy="false">(</m:mo>
- <xsl:apply-templates select="*[position()=2]"/>
- </m:mtd>
- </m:mtr>
- <xsl:for-each select = "*[position()>2]">
- <m:mtr>
- <m:mtd>
- <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
- <m:mo helm:xref="{*[1]/@helm:xref}">
- <m:mchar name="{$symbol}"/>
- </m:mo>
- <xsl:apply-templates select="."/>
- </m:mtd>
- </m:mtr>
- </xsl:for-each>
- <m:mtr>
- <m:mtd>
- <m:mo stretchy="false">)</m:mo>
- </m:mtd>
- </m:mtr>
- </m:mtable>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<xsl:template match = "m:set">
- <xsl:choose>
- <xsl:when test="count(child::*) = 0">
- <m:mo>
- <m:mchar name="EmptySet"/>
- </m:mo>
- </xsl:when>
- <xsl:otherwise>
- <xsl:variable name="charlength">
- <xsl:apply-templates select="*[1]" mode="charcount"/>
- </xsl:variable>
- <xsl:choose>
- <xsl:when test="$charlength >= $framewidth">
- <xsl:choose>
- <xsl:when test="name(*[1]) = 'm:bvar'">
- <m:mtable align="baseline 1" equalrows="false" columnalign="left">
- <m:mtr>
- <m:mtd>
- <m:mo stretchy="false">{</m:mo>
- <xsl:apply-templates select="*[position()=1]"/>
- </m:mtd>
- </m:mtr>
- <m:mtr>
- <m:mtd>
- <m:mphantom><m:mtext>{</m:mtext></m:mphantom>
- <m:mo stretchy="false">|</m:mo>
- <xsl:apply-templates select="m:condition/*[1]"/>
- </m:mtd>
- </m:mtr>
- <m:mtr>
- <m:mtd>
- <m:mo stretchy="false">}</m:mo>
- </m:mtd>
- </m:mtr>
- </m:mtable>
- </xsl:when>
- <xsl:otherwise>
- <m:mtable align="baseline 1" equalrows="false" columnalign="left">
- <m:mtr>
- <m:mtd>
- <m:mo stretchy="false">{</m:mo>
- <xsl:apply-templates select="*[position()=1]"/>
- <xsl:if test="position() != last()">
- <mo>,</mo>
- </xsl:if>
- </m:mtd>
- </m:mtr>
- <xsl:for-each select = "*[position()>2]">
- <m:mtr>
- <m:mtd>
- <m:mphantom><m:mtext>{</m:mtext></m:mphantom>
- <xsl:apply-templates select="."/>
- <xsl:if test="position() != last()">
- <mo>,</mo>
- </xsl:if>
- </m:mtd>
- </m:mtr>
- </xsl:for-each>
- <m:mtr>
- <m:mtd>
- <m:mo stretchy="false">}</m:mo>
- </m:mtd>
- </m:mtr>
- </m:mtable>
- </xsl:otherwise>
- </xsl:choose>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-imports/>
- </xsl:otherwise>
- </xsl:choose>
- </xsl:otherwise>
- </xsl:choose>
-</xsl:template>
-
-<xsl:template match = "m:apply[m:card[1]]">
- <m:mo stretchy="false">|</m:mo>
- <xsl:apply-templates select="*[2]"/>
- <m:mo stretchy="false">|</m:mo>
-</xsl:template>
-
-<!-- *********************************** -->
-<!-- PROOF ELEMENTS -->
-<!-- *********************************** -->
-
-
<!--**********************-->
<!-- COUNTING -->
<xsl:param name="nosibling" select="0"/>
<xsl:choose>
<xsl:when test="count(child::*) = 0">
- <xsl:value-of select="$incurrent_length"/>
+ <!-- tremendous bug fixed. An empty element can still have siblings!!! -->
+ <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length"/></xsl:apply-templates></xsl:variable>
+ <xsl:choose>
+ <xsl:when test="string($siblength) = """>
+ <xsl:value-of select="$incurrent_length"/>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:value-of select="number($siblength)"/>
+ </xsl:otherwise>
+ </xsl:choose>
</xsl:when>
<xsl:otherwise>
<xsl:variable name="childlength"><xsl:apply-templates select="*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length"/><xsl:with-param name="nosibling" select="0"/></xsl:apply-templates></xsl:variable>
<xsl:otherwise>
<xsl:value-of select="number($siblength)"/>
</xsl:otherwise>
- </xsl:choose>>
+ </xsl:choose>
</xsl:when>
<xsl:otherwise>
<xsl:value-of select="number($childlength)"/>
projects / helm.git / blobdiff