helm/style/mmlextension.xsl

   1 <?xml version="1.0"?>
   2
   3 <!-- Copyright (C) 2000, HELM Team                                     -->
   4 <!--                                                                   -->
   5 <!-- This file is part of HELM, an Hypertextual, Electronic            -->
   6 <!-- Library of Mathematics, developed at the Computer Science         -->
   7 <!-- Department, University of Bologna, Italy.                         -->
   8 <!--                                                                   -->
   9 <!-- HELM is free software; you can redistribute it and/or             -->
  10 <!-- modify it under the terms of the GNU General Public License       -->
  11 <!-- as published by the Free Software Foundation; either version 2    -->
  12 <!-- of the License, or (at your option) any later version.            -->
  13 <!--                                                                   -->
  14 <!-- HELM is distributed in the hope that it will be useful,           -->
  15 <!-- but WITHOUT ANY WARRANTY; without even the implied warranty of    -->
  16 <!-- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the     -->
  17 <!-- GNU General Public License for more details.                      -->
  18 <!--                                                                   -->
  19 <!-- You should have received a copy of the GNU General Public License -->
  20 <!-- along with HELM; if not, write to the Free Software               -->
  21 <!-- Foundation, Inc., 59 Temple Place - Suite 330, Boston,            -->
  22 <!-- MA  02111-1307, USA.                                              -->
  23 <!--                                                                   -->
  24 <!-- For details, see the HELM World-Wide-Web page,                    -->
  25 <!-- http://cs.unibo.it/helm/.                                         -->
  26
  27 <!--***********************************************************************-->
  28 <!-- Extension to the XSLT version 0.07 of MathML content to presentation: -->
  29 <!-- First draft: February 19 2000, Andrea Asperti, Irene Schena           -->
  30 <!-- Revised: March 3 2000, Irene Schena                                   -->
  31 <!-- Revised: March 15 2000, Claudio Sacerdoti Coen, Irene Schena          -->
  32 <!-- Revised: March 21 2000, Irene Schena                                  -->
  33 <!--***********************************************************************-->
  34
  35 <!-- NOTE: the namespace declaration has to be done in the stylesheets
  36 which generates the toplevel element (see for instance xlink) -->
  37 <xsl:stylesheet version="1.0" xmlns:xsl="http://www.w3.org/1999/XSL/Transform"
  38                               xmlns:m="http://www.w3.org/1998/Math/MathML"
  39                               xmlns:helm="http://www.cs.unibo.it/helm"
  40                               xmlns:xlink="http://www.w3.org/1999/xlink">
  41
  42 <!-- OLD: <xsl:import href="mml2mmlv1_0.xsl"/> -->
  43
  44 <xsl:import href="mmlnotation.xsl"/>
  45
  46 <xsl:import href="mmltheoryextension.xsl"/>
  47
  48
  49 <xsl:param name="explodeall" select="false()"/>
  50
  51 <!--***********************************************************************-->
  52 <!-- Parameter affecting line-breaking                                     -->
  53 <!--***********************************************************************-->
  54
  55 <xsl:variable name="framewidth" select="35"/>
  56
  57 <!--***********************************************************************-->
  58 <!-- Gli oggetti sono stampati come mtext all'interno di una marca toplevel-->
  59 <!-- math ma al di fuori di semantics. Ora vi sono tanti semantics quanti  -->
  60 <!-- sono i termini: la presentation per un termine e' generata come primo -->
  61 <!-- figlio di un semantics e l'originario content viene inserito nel      -->
  62 <!-- nel secondo figlio di semantics, annotation-xml                       -->
  63 <!--***********************************************************************-->
  64
  65 <!--**********************-->
  66 <!--        OBJECTS       -->
  67 <!--**********************-->
  68
  69 <xsl:param name="type" select="'standalone'"/>
  70
  71 <xsl:template match="/">
  72  <xsl:choose>
  73   <xsl:when test="$type = 'standalone'">
  74    <xsl:apply-templates select="*"/>
  75   </xsl:when>
  76   <xsl:otherwise>
  77    <to_be_embedded>
  78     <xsl:apply-templates select="*"/>
  79    </to_be_embedded>
  80   </xsl:otherwise>
  81  </xsl:choose>
  82 </xsl:template>
  83
  84 <!-- DEFINITION -->
  85
  86 <xsl:template match="Definition">
  87     <m:math>
  88      <m:mtable align="baseline 1" equalrows="false" columnalign="left" helm:xref="{@helm:xref}">
  89       <m:mtr>
  90        <m:mtd>
  91         <m:mrow>
  92          <m:mtext>DEFINITION <xsl:value-of select="@name"/>(<xsl:if test="string(./Params) != &quot;&quot;"><xsl:value-of select="Params"/></xsl:if>) OF TYPE</m:mtext>
  93         </m:mrow>
  94        </m:mtd>
  95       </m:mtr>
  96       <m:mtr>
  97        <m:mtd>
  98         <m:mrow>
  99          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 100          <xsl:apply-templates select="type/*[1]"/>
 101         </m:mrow>
 102        </m:mtd>
 103       </m:mtr>
 104       <m:mtr>
 105        <m:mtd>
 106         <m:mrow>
 107          <m:mtext>AS</m:mtext>
 108         </m:mrow>
 109        </m:mtd>
 110       </m:mtr>
 111       <m:mtr>
 112        <m:mtd>
 113         <m:mrow>
 114          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 115          <xsl:apply-templates select="body/*[1]"/>
 116         </m:mrow>
 117        </m:mtd>
 118       </m:mtr>
 119      </m:mtable>
 120     </m:math>
 121 </xsl:template>
 122
 123 <!-- AXIOM -->
 124
 125 <xsl:template match="Axiom">
 126     <m:math>
 127      <m:mtable align="baseline 1" equalrows="false" columnalign="left" helm:xref="{@helm:xref}">
 128       <m:mtr>
 129        <m:mtd>
 130         <m:mrow>
 131          <m:mtext>AXIOM <xsl:value-of select="@name"/>(<xsl:if test="string(./Params) != &quot;&quot;"><xsl:value-of select="Params"/></xsl:if>) OF TYPE</m:mtext>
 132         </m:mrow>
 133        </m:mtd>
 134       </m:mtr>
 135       <m:mtr>
 136        <m:mtd>
 137         <m:mrow>
 138          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 139          <xsl:apply-templates select="type/*[1]"/>
 140         </m:mrow>
 141        </m:mtd>
 142       </m:mtr>
 143      </m:mtable>
 144     </m:math>
 145 </xsl:template>
 146
 147 <!-- UNFINISHED PROOF -->
 148
 149 <xsl:template match="CurrentProof">
 150     <m:math>
 151      <m:mtable align="baseline 1" equalrows="false" columnalign="left" helm:xref="{@helm:xref}">
 152       <m:mtr>
 153        <m:mtd>
 154         <m:mrow>
 155          <m:mtext>UNFINISHED PROOF <xsl:value-of select="@name"/>(<xsl:if test="string(./Params) != &quot;&quot;"><xsl:value-of select="Params"/></xsl:if>)</m:mtext>
 156         </m:mrow>
 157        </m:mtd>
 158       </m:mtr>
 159       <m:mtr>
 160        <m:mtd>
 161         <m:mrow>
 162          <m:mtext>THESIS:</m:mtext>
 163         </m:mrow>
 164        </m:mtd>
 165       </m:mtr>
 166       <m:mtr>
 167        <m:mtd>
 168         <m:mrow>
 169          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 170          <xsl:apply-templates select="type/*[1]"/>
 171         </m:mrow>
 172        </m:mtd>
 173       </m:mtr>
 174       <m:mtr>
 175        <m:mtd>
 176         <m:mrow>
 177          <m:mtext>CONJECTURES:</m:mtext>
 178         </m:mrow>
 179        </m:mtd>
 180       </m:mtr>
 181       <xsl:for-each select="Conjecture">
 182       <m:mtr>
 183        <m:mtd>
 184         <m:mrow helm:xref="{@helm:xref}">
 185          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 186          <xsl:for-each select="Decl|Def|Hidden">
 187           <xsl:choose>
 188            <xsl:when test="name(.)='Decl'">
 189             <m:mrow helm:xref="{@helm:xref}">
 190              <xsl:choose>
 191               <xsl:when test="@name">
 192                <m:mi><xsl:value-of select="@name"/></m:mi>
 193               </xsl:when>
 194               <xsl:otherwise>
 195                <m:mi>_</m:mi>
 196               </xsl:otherwise>
 197              </xsl:choose>
 198              <m:mo>:</m:mo>
 199              <xsl:apply-templates select="./*[1]"/>
 200             </m:mrow>
 201            </xsl:when>
 202            <xsl:when test="name(.)='Def'">
 203             <m:mrow helm:xref="{@helm:xref}">
 204              <xsl:choose>
 205               <xsl:when test="@name">
 206                <m:mi><xsl:value-of select="@name"/></m:mi>
 207               </xsl:when>
 208               <xsl:otherwise>
 209                <m:mi>_</m:mi>
 210               </xsl:otherwise>
 211              </xsl:choose>
 212              <m:mo>:=</m:mo>
 213              <xsl:apply-templates select="./*[1]"/>
 214             </m:mrow>
 215            </xsl:when>
 216            <xsl:otherwise>
 217             <m:mrow helm:xref="{@helm:xref}">
 218              <m:mi>_</m:mi>
 219              <m:mo>:?</m:mo>
 220              <m:mi>_</m:mi>
 221             </m:mrow>
 222            </xsl:otherwise>
 223           </xsl:choose>
 224           <xsl:if test="not (position() = last())">
 225            <m:mo>;</m:mo>
 226           </xsl:if>
 227          </xsl:for-each>
 228          <m:mo>|-</m:mo>
 229          <m:msub><m:mi>?</m:mi><m:mn><xsl:value-of select="@no"/></m:mn></m:msub>
 230          <m:mo>:</m:mo>
 231          <xsl:apply-templates select="./Goal/*[1]"/>
 232         </m:mrow>
 233        </m:mtd>
 234       </m:mtr>
 235       </xsl:for-each>
 236       <m:mtr>
 237        <m:mtd>
 238         <m:mrow>
 239          <m:mtext>PROOF:</m:mtext>
 240         </m:mrow>
 241        </m:mtd>
 242       </m:mtr>
 243       <m:mtr>
 244        <m:mtd>
 245         <m:mrow>
 246          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 247          <xsl:apply-templates select="body/*[1]"/>
 248         </m:mrow>
 249        </m:mtd>
 250       </m:mtr>
 251      </m:mtable>
 252     </m:math>
 253 </xsl:template>
 254
 255 <!-- MUTUAL INDUCTIVE DEFINITION -->
 256
 257 <xsl:template match="InductiveDefinition">
 258     <m:math>
 259      <m:mtable align="baseline 1" equalrows="false" columnalign="left" helm:xref="{@helm:xref}">
 260      <xsl:for-each select="InductiveType">
 261       <m:mtr>
 262        <m:mtd>
 263         <m:mrow>
 264          <xsl:choose>
 265          <xsl:when test="position() = 1">
 266           <xsl:choose>
 267           <xsl:when test="string(./@inductive) = &quot;true&quot;">
 268            <m:mtext>INDUCTIVE DEFINITION</m:mtext>
 269           </xsl:when>
 270           <xsl:otherwise>
 271            <m:mtext>COINDUCTIVE DEFINITION</m:mtext>
 272           </xsl:otherwise>
 273           </xsl:choose>
 274          </xsl:when>
 275          <xsl:otherwise>
 276           <m:mtext>AND</m:mtext>
 277          </xsl:otherwise>
 278          </xsl:choose>
 279          <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 280          <m:mtext><xsl:value-of select="./@name"/>(<xsl:if test="string(../Params) != &quot;&quot;"><xsl:value-of select="../Params"/></xsl:if>)</m:mtext>
 281         </m:mrow>
 282        </m:mtd>
 283       </m:mtr>
 284       <m:mtr>
 285        <m:mtd>
 286         <m:mrow>
 287          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 288          <m:mtext>[</m:mtext>
 289          <xsl:choose>
 290          <xsl:when test="string(../Param) != &quot;&quot;">
 291           <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 292            <xsl:for-each select="../Param">
 293             <m:mtr>
 294              <m:mtd>
 295               <m:mrow>
 296                <m:mi><xsl:value-of select="./@name"/></m:mi>
 297                <m:mo>:</m:mo>
 298                <xsl:apply-templates select="*"/>
 299               </m:mrow>
 300              </m:mtd>
 301             </m:mtr>
 302            </xsl:for-each>
 303             <m:mtr>
 304              <m:mtd>
 305               <m:mrow>
 306                <m:mtext>]</m:mtext>
 307               </m:mrow>
 308              </m:mtd>
 309             </m:mtr>
 310           </m:mtable>
 311          </xsl:when>
 312          <xsl:otherwise>
 313           <m:mtext>]</m:mtext>
 314          </xsl:otherwise>
 315          </xsl:choose>
 316         </m:mrow>
 317        </m:mtd>
 318       </m:mtr>
 319       <m:mtr>
 320        <m:mtd>
 321         <m:mrow>
 322          <m:mtext>OF ARITY</m:mtext>
 323         </m:mrow>
 324        </m:mtd>
 325       </m:mtr>
 326       <m:mtr>
 327        <m:mtd>
 328         <m:mrow>
 329          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 330          <xsl:apply-templates select="./arity/*[1]"/>
 331         </m:mrow>
 332        </m:mtd>
 333       </m:mtr>
 334       <m:mtr>
 335        <m:mtd>
 336         <m:mrow>
 337          <m:mtext>BUILT FROM</m:mtext>
 338         </m:mrow>
 339        </m:mtd>
 340       </m:mtr>
 341       <xsl:for-each select="./Constructor">
 342       <m:mtr>
 343        <m:mtd>
 344         <m:mrow>
 345          <xsl:choose>
 346          <xsl:when test="position() = 1">
 347           <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 348          </xsl:when>
 349          <xsl:otherwise>
 350           <m:mtext>|</m:mtext>
 351           <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 352          </xsl:otherwise>
 353          </xsl:choose>
 354          <m:mtext><xsl:value-of select="./@name"/> OF</m:mtext>
 355          <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 356          <xsl:apply-templates select="./*[1]"/>
 357         </m:mrow>
 358        </m:mtd>
 359       </m:mtr>
 360       </xsl:for-each>
 361      </xsl:for-each>
 362      </m:mtable>
 363     </m:math>
 364 </xsl:template>
 365
 366 <!-- VARIABLE -->
 367
 368 <xsl:template match="Variable">
 369     <m:math>
 370      <m:mtable align="baseline 1" equalrows="false" columnalign="left" helm:xref="{@helm:xref}">
 371       <m:mtr>
 372        <m:mtd>
 373         <m:mrow>
 374          <m:mtext>VARIABLE <xsl:value-of select="@name"/> OF TYPE</m:mtext>
 375         </m:mrow>
 376        </m:mtd>
 377       </m:mtr>
 378       <m:mtr>
 379        <m:mtd>
 380         <m:mrow>
 381          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 382          <xsl:apply-templates select="type/*[1]"/>
 383         </m:mrow>
 384        </m:mtd>
 385       </m:mtr>
 386       <xsl:if test="name(*[1])='body'">
 387        <m:mtr>
 388         <m:mtd>
 389          <m:mrow>
 390           <m:mtext>AS</m:mtext>
 391          </m:mrow>
 392         </m:mtd>
 393        </m:mtr>
 394        <m:mtr>
 395         <m:mtd>
 396          <m:mrow>
 397           <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 398           <xsl:apply-templates select="body/*[1]"/>
 399          </m:mrow>
 400         </m:mtd>
 401        </m:mtr>
 402       </xsl:if>
 403      </m:mtable>
 404     </m:math>
 405 </xsl:template>
 406
 407 <!-- SEQUENT -->
 408
 409 <xsl:template match="Sequent">
 410  <xsl:variable name="rowlines">
 411   <xsl:for-each select="Decl|Def">
 412    <xsl:if test="position() != last()">
 413     <xsl:text>none </xsl:text>
 414    </xsl:if>
 415   </xsl:for-each>
 416   <xsl:text>solid</xsl:text>
 417  </xsl:variable>
 418  <xsl:variable name="no" select="@no"/>
 419     <m:math>
 420      <m:mi><xsl:text>?</xsl:text><xsl:value-of select="$no"/></m:mi>
 421      <m:mo>:</m:mo>
 422      <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 423      <m:mtable align="baseline 1" equalrows="false" columnalign="left" helm:xref="{@helm:xref}" rowlines="{$rowlines}">
 424       <xsl:for-each select="Decl|Def">
 425        <m:mtr>
 426         <m:mtd>
 427          <m:mrow helm:xref="{@helm:xref}">
 428           <m:mi><xsl:value-of select="@name"/></m:mi>
 429           <xsl:choose>
 430            <xsl:when test="name(.) = 'Decl'">
 431             <m:mo>:</m:mo>
 432            </xsl:when>
 433            <xsl:otherwise>
 434             <m:mo>:=</m:mo>
 435            </xsl:otherwise>
 436           </xsl:choose>
 437           <xsl:apply-templates select="*[1]"/>
 438          </m:mrow>
 439         </m:mtd>
 440        </m:mtr>
 441       </xsl:for-each>
 442       <xsl:if test="not(Decl|Def)">
 443       <m:mtr>
 444        <m:mtd>
 445         <m:mrow>
 446          <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 447         </m:mrow>
 448        </m:mtd>
 449       </m:mtr>
 450       </xsl:if>
 451       <m:mtr>
 452        <m:mtd>
 453         <m:mrow>
 454          <xsl:apply-templates select="Goal/*[1]"/>
 455         </m:mrow>
 456        </m:mtd>
 457       </m:mtr>
 458      </m:mtable>
 459     </m:math>
 460 </xsl:template>
 461
 462 <!--**********************-->
 463 <!--        TERMS         -->
 464 <!--**********************-->
 465
 466 <xsl:template match="m:bvar">
 467  <xsl:choose>
 468   <xsl:when test="m:type">
 469    <xsl:variable name="charlength">
 470     <xsl:apply-templates select="m:ci" mode="charcount"/>
 471    </xsl:variable>
 472    <xsl:choose>
 473     <xsl:when test="$charlength >= $framewidth">
 474      <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 475       <m:mtr>
 476        <m:mtd>
 477         <m:mrow>
 478          <xsl:apply-templates select="m:ci"/>
 479          <m:mo>:</m:mo>
 480         </m:mrow>
 481        </m:mtd>
 482       </m:mtr>
 483       <m:mtr>
 484        <m:mtd>
 485         <m:mrow>
 486          <xsl:apply-templates select="m:type"/>
 487         </m:mrow>
 488        </m:mtd>
 489       </m:mtr>
 490      </m:mtable>
 491     </xsl:when>
 492     <xsl:otherwise>
 493      <m:mrow>
 494       <xsl:apply-templates select="m:ci"/>
 495       <m:mo>:</m:mo>
 496       <xsl:apply-templates select="m:type"/>
 497      </m:mrow>
 498     </xsl:otherwise>
 499    </xsl:choose>
 500   </xsl:when>
 501   <xsl:otherwise>
 502    <xsl:apply-templates select="m:ci"/>
 503   </xsl:otherwise>
 504  </xsl:choose>
 505 </xsl:template>
 506
 507
 508 <!-- CSYMBOL -->
 509
 510 <xsl:template match="m:apply[m:csymbol]">
 511 <xsl:param name="nopar" select="0"/>
 512     <xsl:variable name="name"><xsl:value-of select="m:csymbol"/></xsl:variable>
 513     <xsl:variable name="charlength"><xsl:apply-templates select="m:csymbol" mode="charcount"/></xsl:variable>
 514     <m:mrow>
 515      <xsl:if test="@id">
 516       <xsl:attribute name="xref"><xsl:value-of select="@id"/></xsl:attribute>
 517      </xsl:if>
 518      <xsl:variable name="id" select="m:csymbol/@id"/>
 519      <xsl:choose>
 520       <!-- META -->
 521       <xsl:when test="$name='meta'">
 522        <m:mrow>
 523         <xsl:apply-templates select="*[position()=2]"/>
 524         <m:mfenced open="[" close="]" separators=";">
 525          <xsl:apply-templates select="*[position()>2]"/>
 526         </m:mfenced>
 527        </m:mrow>
 528       </xsl:when>
 529       <!-- FORALL -->
 530       <xsl:when test="$name='forall'">
 531        <xsl:choose>
 532        <xsl:when test="$charlength >= $framewidth">
 533         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 534          <m:mtr>
 535           <m:mtd>
 536            <m:mrow>
 537             <m:mo mathcolor="Blue">&#8704;</m:mo>
 538             <xsl:apply-templates select="m:bvar"/>
 539            </m:mrow>
 540           </m:mtd>
 541          </m:mtr>
 542          <m:mtr>
 543           <m:mtd>
 544            <m:mrow>
 545             <m:mo>.</m:mo>
 546             <xsl:apply-templates select="*[position()=3]"/>
 547            </m:mrow>
 548           </m:mtd>
 549          </m:mtr>
 550         </m:mtable>
 551        </xsl:when>
 552        <xsl:otherwise>
 553         <m:mo mathcolor="Blue">&#8704;</m:mo>
 554         <xsl:apply-templates select="m:bvar/m:ci"/>
 555         <m:mo>:</m:mo>
 556         <xsl:apply-templates select="m:bvar/m:type"/>
 557         <m:mo>.</m:mo>
 558         <xsl:apply-templates select="*[position()=3]"/>
 559        </xsl:otherwise>
 560        </xsl:choose>
 561       </xsl:when>
 562       <!-- LET-IN -->
 563       <xsl:when test="$name='let_in'">
 564        <xsl:choose>
 565        <xsl:when test="$charlength >= $framewidth">
 566         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 567          <m:mtr>
 568           <m:mtd>
 569            <m:mrow>
 570             <m:mo>LET</m:mo>
 571             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 572             <xsl:apply-templates select="m:bvar"/>
 573            </m:mrow>
 574           </m:mtd>
 575          </m:mtr>
 576          <m:mtr>
 577           <m:mtd>
 578            <m:mrow>
 579             <m:mo>=</m:mo>
 580             <xsl:apply-templates select="*[position()=3]"/>
 581            </m:mrow>
 582           </m:mtd>
 583          </m:mtr>
 584          <m:mtr>
 585           <m:mtd>
 586            <m:mrow>
 587             <m:mo>IN</m:mo>
 588             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 589             <xsl:apply-templates select="*[position()=4]"/>
 590            </m:mrow>
 591           </m:mtd>
 592          </m:mtr>
 593         </m:mtable>
 594        </xsl:when>
 595        <xsl:otherwise>
 596         <m:mo>LET</m:mo>
 597         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 598         <xsl:apply-templates select="m:bvar/m:ci"/>
 599         <m:mo>=</m:mo>
 600         <xsl:apply-templates select="*[position()=3]"/>
 601         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 602         <m:mtext>IN</m:mtext>
 603         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 604         <xsl:apply-templates select="*[position()=4]"/>
 605        </xsl:otherwise>
 606        </xsl:choose>
 607       </xsl:when>
 608       <!-- PROD -->
 609       <xsl:when test="$name='prod'">
 610        <xsl:choose>
 611        <xsl:when test="$charlength >= $framewidth">
 612         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 613          <m:mtr>
 614           <m:mtd>
 615            <m:mrow>
 616             <m:mo mathcolor="Blue">&#x03a0;</m:mo>
 617             <xsl:apply-templates select="m:bvar"/>
 618            </m:mrow>
 619           </m:mtd>
 620          </m:mtr>
 621          <m:mtr>
 622           <m:mtd>
 623            <m:mrow>
 624             <m:mo>.</m:mo>
 625             <xsl:apply-templates select="*[position()=3]"/>
 626            </m:mrow>
 627           </m:mtd>
 628          </m:mtr>
 629         </m:mtable>
 630        </xsl:when>
 631        <xsl:otherwise>
 632         <m:mo mathcolor="Blue">&#x03a0;</m:mo>
 633         <xsl:apply-templates select="m:bvar/m:ci"/>
 634         <m:mo>:</m:mo>
 635         <xsl:apply-templates select="m:bvar/m:type"/>
 636         <m:mo>.</m:mo>
 637         <xsl:apply-templates select="*[position()=3]"/>
 638        </xsl:otherwise>
 639        </xsl:choose>
 640       </xsl:when>
 641       <!-- ARROW -->
 642       <xsl:when test="$name='arrow'">
 643        <xsl:choose>
 644        <xsl:when test="$charlength >= $framewidth">
 645         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 646          <m:mtr>
 647           <m:mtd>
 648            <m:mrow>
 649             <xsl:if test="$nopar=0">
 650              <m:mo stretchy="false">(</m:mo>
 651             </xsl:if>
 652             <xsl:apply-templates select="*[position()=2]"/>
 653            </m:mrow>
 654           </m:mtd>
 655          </m:mtr>
 656          <m:mtr>
 657           <m:mtd>
 658            <m:mrow>
 659             <m:mo mathmathcolor="Blue">&#x2192;</m:mo>
 660             <xsl:choose>
 661             <xsl:when test="*[position()=3]/m:csymbol">
 662              <xsl:variable name="nextp"><xsl:value-of select="*[position()=3]/m:csymbol"/></xsl:variable>
 663              <xsl:choose>
 664              <xsl:when test="$nextp='arrow'">
 665               <xsl:apply-templates select="*[position()=3]"><xsl:with-param name="nopar" select="1"/></xsl:apply-templates>
 666              </xsl:when>
 667              <xsl:otherwise>
 668               <xsl:apply-templates select="*[position()=3]"/>
 669              </xsl:otherwise>
 670              </xsl:choose>
 671             </xsl:when>
 672             <xsl:otherwise>
 673              <xsl:apply-templates select="*[position()=3]"/>
 674             </xsl:otherwise>
 675             </xsl:choose>
 676            </m:mrow>
 677           </m:mtd>
 678          </m:mtr>
 679          <xsl:if test="$nopar=0">
 680          <m:mtr>
 681           <m:mtd>
 682            <m:mrow>
 683             <m:mo stretchy="false">)</m:mo>
 684            </m:mrow>
 685           </m:mtd>
 686          </m:mtr>
 687          </xsl:if>
 688         </m:mtable>
 689        </xsl:when>
 690        <xsl:otherwise>
 691         <xsl:if test="$nopar=0">
 692          <m:mo stretchy="false">(</m:mo>
 693         </xsl:if>
 694         <xsl:apply-templates select="*[position()=2]"/>
 695         <m:mo mathcolor="Blue">&#x2192;</m:mo>
 696         <xsl:choose>
 697         <xsl:when test="*[position()=3]/m:csymbol">
 698          <xsl:variable name="nextp"><xsl:value-of select="*[position()=3]/m:csymbol"/></xsl:variable>
 699          <xsl:choose>
 700          <xsl:when test="$nextp='arrow'">
 701           <xsl:apply-templates select="*[position()=3]"><xsl:with-param name="nopar" select="1"/></xsl:apply-templates>
 702          </xsl:when>
 703          <xsl:otherwise>
 704           <xsl:apply-templates select="*[position()=3]"/>
 705          </xsl:otherwise>
 706          </xsl:choose>
 707         </xsl:when>
 708         <xsl:otherwise>
 709          <xsl:apply-templates select="*[position()=3]"/>
 710         </xsl:otherwise>
 711         </xsl:choose>
 712         <xsl:if test="$nopar=0">
 713          <m:mo stretchy="false">)</m:mo>
 714         </xsl:if>
 715        </xsl:otherwise>
 716        </xsl:choose>
 717       </xsl:when>
 718       <!-- APP -->
 719       <xsl:when test="$name='app'">
 720        <xsl:choose>
 721        <xsl:when test="$charlength >= $framewidth">
 722         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 723          <m:mtr>
 724           <m:mtd>
 725            <m:mrow>
 726             <m:mo stretchy="false">(</m:mo>
 727 <!-- added precedence to app = FUNCTION_PREC (99) -->
 728             <xsl:apply-templates select="*[position()=2]">
 729              <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
 730             </xsl:apply-templates>
 731            </m:mrow>
 732           </m:mtd>
 733          </m:mtr>
 734          <xsl:for-each select="*[position()>2]">
 735          <m:mtr>
 736           <m:mtd>
 737            <m:mrow>
 738             <m:mphantom><m:mtext>(</m:mtext></m:mphantom>
 739 <!-- added precedence to app = FUNCTION_PREC (99) -->
 740             <xsl:apply-templates select=".">
 741              <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
 742             </xsl:apply-templates>
 743            </m:mrow>
 744           </m:mtd>
 745          </m:mtr>
 746          </xsl:for-each>
 747          <m:mtr>
 748           <m:mtd>
 749            <m:mrow>
 750             <m:mo stretchy="false">)</m:mo>
 751            </m:mrow>
 752           </m:mtd>
 753          </m:mtr>
 754         </m:mtable>
 755        </xsl:when>
 756        <xsl:otherwise>
 757         <m:mo stretchy="false">(</m:mo>
 758 <!-- added precedence to app = FUNCTION_PREC (99) -->
 759         <xsl:apply-templates select="*[position()=2]">
 760          <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
 761         </xsl:apply-templates>
 762         <xsl:for-each select="*[position()>2]">
 763          <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 764 <!-- added precedence to app = FUNCTION_PREC (99) -->
 765          <xsl:apply-templates select=".">
 766           <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
 767          </xsl:apply-templates>
 768         </xsl:for-each>
 769         <m:mo stretchy="false">)</m:mo>
 770        </xsl:otherwise>
 771        </xsl:choose>
 772       </xsl:when>
 773       <!-- CAST -->
 774       <xsl:when test="$name='cast'">
 775        <xsl:choose>
 776        <xsl:when test="$charlength >= $framewidth">
 777         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 778          <m:mtr>
 779           <m:mtd>
 780            <m:mrow>
 781             <m:mo stretchy="false">(</m:mo>
 782             <xsl:apply-templates select="*[position()=2]"/>
 783            </m:mrow>
 784           </m:mtd>
 785          </m:mtr>
 786          <m:mtr>
 787           <m:mtd>
 788            <m:mrow>
 789             <m:mo mathcolor="Maroon">:></m:mo>
 790             <xsl:apply-templates select="*[position()=3]"/>
 791            </m:mrow>
 792           </m:mtd>
 793          </m:mtr>
 794          <m:mtr>
 795           <m:mtd>
 796            <m:mrow>
 797             <m:mo stretchy="false">)</m:mo>
 798            </m:mrow>
 799           </m:mtd>
 800          </m:mtr>
 801         </m:mtable>
 802        </xsl:when>
 803        <xsl:otherwise>
 804         <m:mo stretchy="false">(</m:mo>
 805         <xsl:apply-templates select="*[position()=2]"/>
 806         <m:mo mathcolor="Maroon">:></m:mo>
 807         <xsl:apply-templates select="*[position()=3]"/>
 808         <m:mo stretchy="false">)</m:mo>
 809        </xsl:otherwise>
 810        </xsl:choose>
 811       </xsl:when>
 812       <!-- PROP -->
 813       <xsl:when test="$name='Prop'">
 814        <m:mo>Prop</m:mo>
 815       </xsl:when>
 816       <!-- SET -->
 817       <xsl:when test="$name='Set'">
 818        <m:mo>Set</m:mo>
 819       </xsl:when>
 820       <!-- TYPE -->
 821       <xsl:when test="$name='Type'">
 822        <m:mo>Type</m:mo>
 823       </xsl:when>
 824       <!-- MUTCASE -->
 825       <xsl:when test="$name='mutcase'">
 826        <xsl:choose>
 827        <xsl:when test="$charlength >= $framewidth">
 828         <xsl:variable name="charlength"><xsl:apply-templates select="*[position()=2]" mode="charcount"><xsl:with-param name="nosibling" select="1"/></xsl:apply-templates></xsl:variable>
 829         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 830          <m:mtr>
 831           <m:mtd>
 832            <m:mrow>
 833             <m:mo>&lt;</m:mo>
 834             <xsl:apply-templates select="*[position()=2]"/>
 835             <xsl:if test="$framewidth > $charlength">
 836              <m:mo>&gt;</m:mo>
 837              <m:mo>CASES</m:mo>
 838              <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 839              <xsl:apply-templates select="*[position()=3]"/>
 840             </xsl:if>
 841            </m:mrow>
 842           </m:mtd>
 843          </m:mtr>
 844          <xsl:if test="$charlength >= $framewidth">
 845          <m:mtr>
 846           <m:mtd>
 847            <m:mrow>
 848             <m:mo>&gt;</m:mo>
 849             <m:mo>CASES</m:mo>
 850             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 851             <xsl:apply-templates select="*[position()=3]"/>
 852            </m:mrow>
 853           </m:mtd>
 854          </m:mtr>
 855          </xsl:if>
 856          <m:mtr>
 857           <m:mtd>
 858            <m:mrow>
 859             <m:mo>OF</m:mo>
 860            </m:mrow>
 861           </m:mtd>
 862          </m:mtr>
 863          <xsl:for-each select="m:piecewise/m:piece">
 864          <xsl:variable name="charlength"><xsl:apply-templates select="./*[2]" mode="charcount"><xsl:with-param name="nosibling" select="1"/></xsl:apply-templates></xsl:variable>
 865          <m:mtr>
 866           <m:mtd>
 867            <m:mrow>
 868             <xsl:choose>
 869             <xsl:when test="position() = 1">
 870               <m:mphantom><m:mtext>|</m:mtext></m:mphantom>
 871             </xsl:when>
 872             <xsl:otherwise>
 873              <m:mo stretchy="false">|</m:mo>
 874             </xsl:otherwise>
 875             </xsl:choose>
 876             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 877             <xsl:apply-templates select="./*[2]"/>
 878             <xsl:if test="$framewidth > $charlength">
 879              <m:mo mathcolor="Green">&#x21d2;</m:mo>
 880              <xsl:apply-templates select="./*[1]"/>
 881             </xsl:if>
 882            </m:mrow>
 883           </m:mtd>
 884          </m:mtr>
 885          <xsl:if test="$charlength >= $framewidth">
 886          <m:mtr>
 887           <m:mtd>
 888            <m:mrow>
 889             <m:mphantom><m:mtext>|_</m:mtext></m:mphantom>
 890             <m:mo mathcolor="Green">&#x21d2;</m:mo>
 891             <xsl:apply-templates select="./*[1]"/>
 892            </m:mrow>
 893           </m:mtd>
 894          </m:mtr>
 895          </xsl:if>
 896         </xsl:for-each>
 897          <m:mtr>
 898           <m:mtd>
 899            <m:mrow>
 900             <m:mo>END</m:mo>
 901            </m:mrow>
 902           </m:mtd>
 903          </m:mtr>
 904         </m:mtable>
 905        </xsl:when>
 906        <xsl:otherwise>
 907         <m:mo>&lt;</m:mo><xsl:apply-templates select="*[position()=2]"/><m:mo>&gt;</m:mo>
 908         <m:mo>CASES</m:mo>
 909         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 910         <xsl:apply-templates select="*[position()=3]"/>
 911         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 912         <m:mo>OF</m:mo>
 913         <xsl:for-each select="m:piecewise/m:piece">
 914          <xsl:choose>
 915          <xsl:when test="position() != 1">
 916           <m:mo stretchy="false">|</m:mo>
 917          </xsl:when>
 918          </xsl:choose>
 919          <xsl:apply-templates select="./*[2]"/>
 920          <m:mo mathcolor="Green">&#x21d2;</m:mo>
 921          <xsl:apply-templates select="./*[1]"/>
 922         </xsl:for-each>
 923         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 924         <m:mo>END</m:mo>
 925        </xsl:otherwise>
 926        </xsl:choose>
 927       </xsl:when>
 928       <!-- FIX -->
 929       <xsl:when test="$name='fix'">
 930        <xsl:choose>
 931        <xsl:when test="$charlength >= $framewidth">
 932         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 933          <m:mtr>
 934           <m:mtd>
 935            <m:mrow>
 936             <m:mo>FIX</m:mo>
 937             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 938             <m:mi><xsl:value-of select="m:ci"/></m:mi>
 939             <m:mo stretchy="false">{</m:mo>
 940            </m:mrow>
 941           </m:mtd>
 942          </m:mtr>
 943          <m:mtr>
 944           <m:mtd>
 945            <m:mrow>
 946             <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 947             <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 948             <xsl:for-each select="m:bvar">
 949              <xsl:variable name="charlength"><xsl:apply-templates select="m:type" mode="charcount"><xsl:with-param name="nosibling" select="1"/></xsl:apply-templates></xsl:variable>
 950              <m:mtr>
 951               <m:mtd>
 952                <m:mrow>
 953                 <m:mi><xsl:value-of select="m:ci"/></m:mi>
 954                 <m:mo>:</m:mo>
 955                 <xsl:if test="$framewidth > $charlength">
 956                  <xsl:apply-templates select="m:type"/>
 957                 </xsl:if>
 958                </m:mrow>
 959               </m:mtd>
 960              </m:mtr>
 961              <xsl:if test="$charlength >= $framewidth">
 962              <m:mtr>
 963               <m:mtd>
 964                <m:mrow>
 965                 <m:mphantom><m:mtext>:=</m:mtext></m:mphantom>
 966                 <xsl:apply-templates select="m:type"/>
 967                </m:mrow>
 968               </m:mtd>
 969              </m:mtr>
 970              </xsl:if>
 971              <m:mtr>
 972               <m:mtd>
 973                <m:mrow>
 974                 <m:mo>:=</m:mo>
 975                 <xsl:apply-templates select="following-sibling::*[position()=1]"/>
 976                </m:mrow>
 977               </m:mtd>
 978              </m:mtr>
 979             </xsl:for-each>
 980             </m:mtable>
 981            </m:mrow>
 982           </m:mtd>
 983          </m:mtr>
 984          <m:mtr>
 985           <m:mtd>
 986            <m:mrow>
 987             <m:mo stretchy="false">}</m:mo>
 988            </m:mrow>
 989           </m:mtd>
 990          </m:mtr>
 991         </m:mtable>
 992        </xsl:when>
 993        <xsl:otherwise>
 994         <m:mo>FIX</m:mo>
 995         <m:mi><xsl:value-of select="m:ci"/></m:mi>
 996         <m:mo stretchy="false">{</m:mo>
 997         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 998         <xsl:for-each select="m:bvar">
 999          <m:mtr>
1000           <m:mtd>
1001            <m:mrow>
1002             <m:mi><xsl:value-of select="m:ci"/></m:mi>
1003             <m:mo>:</m:mo>
1004             <xsl:apply-templates select="m:type"/>
1005             <m:mo>:=</m:mo>
1006             <xsl:apply-templates select="following-sibling::*[position() = 1]"/>
1007             <xsl:if test="position()=last()">
1008              <m:mo stretchy="false">}</m:mo>
1009             </xsl:if>
1010            </m:mrow>
1011           </m:mtd>
1012          </m:mtr>
1013          </xsl:for-each>
1014         </m:mtable>
1015        </xsl:otherwise>
1016        </xsl:choose>
1017       </xsl:when>
1018       <!-- COFIX -->
1019       <xsl:when test="$name='cofix'">
1020        <xsl:choose>
1021        <xsl:when test="$charlength >= $framewidth">
1022         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1023          <m:mtr>
1024           <m:mtd>
1025            <m:mrow>
1026             <m:mo>COFIX</m:mo>
1027             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1028             <m:mi><xsl:value-of select="m:ci"/></m:mi>
1029             <m:mo stretchy="false">{</m:mo>
1030            </m:mrow>
1031           </m:mtd>
1032          </m:mtr>
1033          <m:mtr>
1034           <m:mtd>
1035            <m:mrow>
1036             <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
1037             <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1038             <xsl:for-each select="m:bvar">
1039              <xsl:variable name="charlength"><xsl:apply-templates select="m:type" mode="charcount"><xsl:with-param name="nosibling" select="1"/></xsl:apply-templates></xsl:variable>
1040              <m:mtr>
1041               <m:mtd>
1042                <m:mrow>
1043                 <m:mi><xsl:value-of select="m:ci"/></m:mi>
1044                 <m:mo>:</m:mo>
1045                 <xsl:if test="$framewidth > $charlength">
1046                  <xsl:apply-templates select="m:type"/>
1047                 </xsl:if>
1048                </m:mrow>
1049               </m:mtd>
1050              </m:mtr>
1051              <xsl:if test="$charlength >= $framewidth">
1052              <m:mtr>
1053               <m:mtd>
1054                <m:mrow>
1055                 <m:mphantom><m:mtext>:=</m:mtext></m:mphantom>
1056                 <xsl:apply-templates select="m:type"/>
1057                </m:mrow>
1058               </m:mtd>
1059              </m:mtr>
1060              </xsl:if>
1061              <m:mtr>
1062               <m:mtd>
1063                <m:mrow>
1064                 <m:mo>:=</m:mo>
1065                 <xsl:apply-templates select="following-sibling::*[position() = 1]"/>
1066                </m:mrow>
1067               </m:mtd>
1068              </m:mtr>
1069             </xsl:for-each>
1070             </m:mtable>
1071            </m:mrow>
1072           </m:mtd>
1073          </m:mtr>
1074          <m:mtr>
1075           <m:mtd>
1076            <m:mrow>
1077             <m:mo stretchy="false">}</m:mo>
1078            </m:mrow>
1079           </m:mtd>
1080          </m:mtr>
1081         </m:mtable>
1082        </xsl:when>
1083        <xsl:otherwise>
1084         <m:mo>COFIX</m:mo>
1085         <m:mi><xsl:value-of select="m:ci"/></m:mi>
1086         <m:mo stretchy="false">{</m:mo>
1087         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1088         <xsl:for-each select="m:bvar">
1089          <m:mtr>
1090           <m:mtd>
1091            <m:mrow>
1092             <m:mi><xsl:value-of select="m:ci"/></m:mi>
1093             <m:mo>:</m:mo>
1094             <xsl:apply-templates select="m:type"/>
1095             <m:mo>:=</m:mo>
1096             <xsl:apply-templates select="following-sibling::*[position() = 1]"/>
1097             <xsl:if test="position()=last()">
1098              <m:mo stretchy="false">}</m:mo>
1099             </xsl:if>
1100            </m:mrow>
1101           </m:mtd>
1102          </m:mtr>
1103          </xsl:for-each>
1104         </m:mtable>
1105        </xsl:otherwise>
1106        </xsl:choose>
1107       </xsl:when>
1108       <!-- INST -->
1109       <xsl:when test="$name='inst'">
1110        <m:mrow>
1111         <xsl:if test="$id != ''">
1112          <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1113         </xsl:if>
1114         <xsl:apply-templates select="*[2]"/>
1115         <m:mo stretchy="false">{</m:mo>
1116         <xsl:for-each select="*[(position()>2) and (position() mod 2 = 1)]">
1117          <xsl:apply-templates/>
1118          <m:mo stretchy="false">:=</m:mo>
1119          <xsl:apply-templates select="following-sibling::*[position() = 1]"/>
1120         </xsl:for-each>
1121         <m:mo stretchy="false">}</m:mo>
1122        </m:mrow>
1123       </xsl:when>
1124       <!-- ***************************************** -->
1125       <!-- *********** PROOF ELEMENTS ************** -->
1126       <!-- ***************************************** -->
1127       <!-- PROOF -->
1128       <xsl:when test="$name='proof'">
1129         <!-- CSC: $explodeall until the annotationHelper can handle mactions -->
1130         <xsl:variable name="test" select="(not($explodeall)) and
1131            (not(preceding-sibling::*[1]/text()='letin1')) and
1132            (not(preceding-sibling::*[1]/text()='rw_step')) and
1133            (not(name(..)='m:lambda'))"/>
1134         <xsl:variable name="hidden_details">
1135          <xsl:if test="$test">
1136           <!-- Details hided (default) -->
1137           <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1138            <m:mtr>
1139             <m:mtd>
1140              <m:mrow>
1141               <m:mtext mathcolor="Red">We&#x00a0;can&#x00a0;prove</m:mtext>
1142               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1143               <!-- the last child is either the expected type, if provided,-->
1144               <!-- or the synthesized type.                                -->
1145               <xsl:apply-templates select="*[position()=last()]"/>
1146               <m:mrow>
1147                <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1148                <m:mtext mathcolor="Green">(explain)</m:mtext>
1149               </m:mrow>
1150              </m:mrow>
1151             </m:mtd>
1152            </m:mtr>
1153           </m:mtable>
1154          </xsl:if>
1155         </xsl:variable>
1156         <xsl:variable name="shown_details">
1157          <!-- Show details -->
1158          <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1159           <m:mtr>
1160            <m:mtd>
1161             <m:mrow>
1162              <xsl:apply-templates select="*[position()=2]"/>
1163             </m:mrow>
1164            </m:mtd>
1165           </m:mtr>
1166           <xsl:variable name="hidedetails">
1167             <m:mrow>
1168              <m:mphantom>
1169               <m:mtext>_</m:mtext>
1170              </m:mphantom>
1171              <xsl:if test="$test">
1172               <m:mtext mathcolor="Green">(hide&#x00a0;details)</m:mtext>
1173              </xsl:if>
1174             </m:mrow>
1175           </xsl:variable>
1176           <m:mtr>
1177            <m:mtd>
1178             <m:mrow>
1179              <m:mtext mathcolor="Red">we&#x00a0;proved</m:mtext>
1180              <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1181              <xsl:apply-templates select="*[position()=3]"/>
1182              <xsl:if test="not(*[4])">
1183               <xsl:copy-of select="$hidedetails"/>
1184              </xsl:if>
1185             </m:mrow>
1186            </m:mtd>
1187           </m:mtr>
1188           <xsl:if test="*[4]">
1189            <m:mtr>
1190             <m:mtd>
1191              <m:mrow>
1192               <m:mtext mathcolor="Red">that&#x00a0;is&#x00a0;equivalent&#x00a0;to</m:mtext>
1193               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1194               <xsl:apply-templates select="*[position()=4]"/>
1195               <xsl:copy-of select="$hidedetails"/>
1196              </m:mrow>
1197             </m:mtd>
1198            </m:mtr>
1199           </xsl:if>
1200          </m:mtable>
1201         </xsl:variable>
1202         <xsl:choose>
1203          <xsl:when test="$test">
1204           <m:maction actiontype="toggle">
1205            <xsl:copy-of select="$hidden_details"/>
1206            <xsl:copy-of select="$shown_details"/>
1207           </m:maction>
1208          </xsl:when>
1209          <xsl:otherwise>
1210           <xsl:copy-of select="$shown_details"/>
1211          </xsl:otherwise>
1212         </xsl:choose>
1213       </xsl:when>
1214       <!-- SIDE_PROOF -->
1215       <xsl:when test="$name='side_proof'">
1216         <xsl:variable name="test" select="(not($explodeall))"/>
1217         <xsl:variable name="hidden_details">
1218          <xsl:if test="$test">
1219           <!-- Details hided (default) -->
1220           <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1221            <m:mtr>
1222             <m:mtd>
1223              <m:mrow>
1224               <m:mtext mathcolor="Red">We&#x00a0;can&#x00a0;prove</m:mtext>
1225               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1226               <!-- the last child is either the expected type, if provided,-->
1227               <!-- or the synthesized type.                                -->
1228               <xsl:apply-templates select="*[position()=last()]"/>
1229               <m:mrow>
1230                <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1231                <m:mtext mathcolor="Green">(explain)</m:mtext>
1232               </m:mrow>
1233              </m:mrow>
1234             </m:mtd>
1235            </m:mtr>
1236           </m:mtable>
1237          </xsl:if>
1238         </xsl:variable>
1239         <xsl:variable name="shown_details">
1240          <!-- Show details -->
1241          <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1242           <m:mtr>
1243            <m:mtd>
1244             <m:mrow>
1245              <xsl:apply-templates select="*[position()=2]"/>
1246             </m:mrow>
1247            </m:mtd>
1248           </m:mtr>
1249           <xsl:variable name="hidedetails">
1250             <m:mrow>
1251              <m:mphantom>
1252               <m:mtext>_</m:mtext>
1253              </m:mphantom>
1254              <xsl:if test="$test">
1255               <m:mtext mathcolor="Green">(hide&#x00a0;details)</m:mtext>
1256              </xsl:if>
1257             </m:mrow>
1258           </xsl:variable>
1259           <m:mtr>
1260            <m:mtd>
1261             <m:mrow>
1262              <m:mtext mathcolor="Red">we&#x00a0;proved</m:mtext>
1263              <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1264              <xsl:apply-templates select="*[position()=3]"/>
1265              <xsl:if test="not(*[4])">
1266               <xsl:copy-of select="$hidedetails"/>
1267              </xsl:if>
1268             </m:mrow>
1269            </m:mtd>
1270           </m:mtr>
1271           <xsl:if test="*[4]">
1272            <m:mtr>
1273             <m:mtd>
1274              <m:mrow>
1275               <m:mtext mathcolor="Red">that&#x00a0;is&#x00a0;equivalent&#x00a0;to</m:mtext>
1276               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1277               <xsl:apply-templates select="*[position()=4]"/>
1278               <xsl:copy-of select="$hidedetails"/>
1279              </m:mrow>
1280             </m:mtd>
1281            </m:mtr>
1282           </xsl:if>
1283          </m:mtable>
1284         </xsl:variable>
1285         <xsl:choose>
1286          <xsl:when test="$test">
1287           <m:maction actiontype="toggle">
1288            <xsl:copy-of select="$hidden_details"/>
1289            <xsl:copy-of select="$shown_details"/>
1290           </m:maction>
1291          </xsl:when>
1292          <xsl:otherwise>
1293           <xsl:copy-of select="$shown_details"/>
1294          </xsl:otherwise>
1295         </xsl:choose>
1296       </xsl:when>
1297       <!-- LETIN1 -->
1298       <xsl:when test="$name='letin1'">
1299         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1300          <m:mtr>
1301           <m:mtd>
1302            <m:mrow>
1303             <xsl:apply-templates select="*[position()=2]"/>
1304            </m:mrow>
1305           </m:mtd>
1306          </m:mtr>
1307          <m:mtr>
1308           <m:mtd>
1309            <m:mrow>
1310             <xsl:apply-templates select="*[position()=3]"/>
1311            </m:mrow>
1312           </m:mtd>
1313          </m:mtr>
1314         </m:mtable>
1315       </xsl:when>
1316       <xsl:when test="$name='by_induction'">
1317        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1318         <m:mtr>
1319          <m:mtd>
1320           <m:mrow>
1321            <m:mtext mathcolor="Red">We&#x00a0;prove</m:mtext>
1322            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1323            <xsl:apply-templates select="../*[3]"/>
1324           </m:mrow>
1325          </m:mtd>
1326         </m:mtr>
1327         <m:mtr>
1328          <m:mtd>
1329           <m:mrow>
1330            <m:mtext mathcolor="Red">by&#x00a0;induction&#x00a0;on</m:mtext>
1331            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1332            <xsl:apply-templates
1333             select="*[position()=last()]/*[position()=last()]"/>
1334           </m:mrow>
1335          </m:mtd>
1336         </m:mtr>
1337         <m:mtr>
1338          <m:mtd>
1339           <m:mrow>
1340            <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1341             <xsl:for-each select="*[position()>3 and not(position()=last())]">
1342              <m:mtr>
1343               <m:mtd>
1344                <m:mrow>
1345                 <xsl:apply-templates select="."/>
1346                </m:mrow>
1347               </m:mtd>
1348              </m:mtr>
1349             </xsl:for-each>
1350            </m:mtable>
1351           </m:mrow>
1352          </m:mtd>
1353         </m:mtr>
1354        </m:mtable>
1355       </xsl:when>
1356       <!-- inductive_case -->
1357       <xsl:when test="$name='inductive_case'">
1358        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1359         <m:mtr>
1360          <m:mtd>
1361           <m:mrow>
1362            <m:mtext mathcolor="Red">Case</m:mtext>
1363            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1364            <xsl:apply-templates select="*[2]"/>
1365           </m:mrow>
1366          </m:mtd>
1367         </m:mtr>
1368         <m:mtr>
1369          <m:mtd>
1370           <m:mrow>
1371            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1372            <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1373             <xsl:if test="*[3]/*[position()>1]">
1374              <m:mtr>
1375               <m:mtd>
1376                <m:mrow>
1377                 <m:mtext mathcolor="Red">By&#x00a0;induction&#x00a0;hypothesis,&#x00a0;we&#x00a0;have:</m:mtext>
1378                </m:mrow>
1379               </m:mtd>
1380              </m:mtr>
1381              <m:mtr>
1382               <m:mtd>
1383                <m:mrow>
1384                 <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1385                 <xsl:for-each select="*[3]/*[position()>1]">
1386                  <m:mo stretchy="false">(</m:mo>
1387                  <xsl:apply-templates select="m:ci"/>
1388                  <m:mo stretchy="false">) </m:mo>
1389                  <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1390                  <xsl:apply-templates select="m:type"/>
1391                 </xsl:for-each>
1392                </m:mrow>
1393               </m:mtd>
1394              </m:mtr>
1395             </xsl:if>
1396             <m:mtr>
1397              <m:mtd>
1398               <m:mrow>
1399                <xsl:apply-templates select="*[4]"/>
1400               </m:mrow>
1401              </m:mtd>
1402             </m:mtr>
1403            </m:mtable>
1404           </m:mrow>
1405          </m:mtd>
1406         </m:mtr>
1407        </m:mtable>
1408       </xsl:when>
1409       <!-- case_lhs  -->
1410       <xsl:when test="$name='case_lhs'">
1411        <m:mrow>
1412         <xsl:choose>
1413          <xsl:when test="count(*)=2">
1414           <xsl:apply-templates select="*[2]"/>
1415          </xsl:when>
1416          <xsl:otherwise>
1417           <m:mo stretchy="false">(</m:mo>
1418           <xsl:apply-templates select="*[2]"/>
1419           <xsl:for-each select="m:bvar">
1420            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1421            <xsl:apply-templates select="*[1]"/>
1422            <m:mtext>:</m:mtext>
1423            <xsl:apply-templates select="m:type/*[1]"/>
1424           </xsl:for-each>
1425           <m:mo stretchy="false">)</m:mo>
1426          </xsl:otherwise>
1427         </xsl:choose>
1428        </m:mrow>
1429       </xsl:when>
1430       <!-- false_ind  -->
1431       <xsl:when test="$name='false_ind'">
1432        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1433         <m:mtr>
1434          <m:mtd>
1435           <m:mrow>
1436            <xsl:apply-templates select="*[3]"/>
1437           </m:mrow>
1438          </m:mtd>
1439         </m:mtr>
1440         <m:mtr>
1441          <m:mtd>
1442           <m:mrow>
1443            <m:mtext mathcolor="Red">Contradiction.</m:mtext>
1444           </m:mrow>
1445          </m:mtd>
1446         </m:mtr>
1447        </m:mtable>
1448       </xsl:when>
1449       <!-- LET-IN -->
1450       <xsl:when test="$name='letin'">
1451         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1452          <!-- <xsl:for-each select="APPLY[m:csymbol and (string(m:csymbol)='let')]"> -->
1453          <xsl:for-each select="*[(last() > position()) and (position()>1)]">
1454          <m:mtr>
1455           <m:mtd>
1456            <m:mrow>
1457             <xsl:apply-templates select="."/>
1458            </m:mrow>
1459           </m:mtd>
1460          </m:mtr>
1461          </xsl:for-each>
1462          <m:mtr>
1463           <m:mtd>
1464            <m:mrow>
1465             <xsl:apply-templates select="*[position()=last()]"/>
1466            </m:mrow>
1467           </m:mtd>
1468          </m:mtr>
1469         </m:mtable>
1470       </xsl:when>
1471       <!-- LET -->
1472       <xsl:when test="$name='let'">
1473        <m:mtext>(</m:mtext>
1474        <xsl:apply-templates select="m:ci"/>
1475        <m:mtext>) </m:mtext>
1476        <xsl:apply-templates select="*[3]"/>
1477       </xsl:when>
1478       <!-- RW_STEP -->
1479       <xsl:when test="$name='rw_step'">
1480         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1481          <m:mtr>
1482           <m:mtd>
1483            <m:mrow>
1484             <xsl:choose>
1485              <xsl:when test="name(*[2])='m:apply'">
1486               <xsl:apply-templates select="*[2]"/>
1487              </xsl:when>
1488              <xsl:otherwise>
1489               <m:mtext>Consider</m:mtext>
1490               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1491               <xsl:apply-templates select="*[2]"/>
1492              </xsl:otherwise>
1493             </xsl:choose>
1494            </m:mrow>
1495           </m:mtd>
1496          </m:mtr>
1497          <m:mtr>
1498           <m:mtd>
1499            <m:mrow>
1500             <m:mtext>Rewrite</m:mtext>
1501             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1502             <xsl:apply-templates select="*[3]"/>
1503             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1504             <m:mtext>with</m:mtext>
1505             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1506             <xsl:apply-templates select="*[4]"/>
1507             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1508             <m:mtext>by</m:mtext>
1509             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1510             <xsl:apply-templates select="*[5]"/>
1511            </m:mrow>
1512           </m:mtd>
1513          </m:mtr>
1514         </m:mtable>
1515       </xsl:when>
1516       <!-- not existing any more
1517       <xsl:when test="$name='thread'">
1518         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1519          <m:mtr>
1520           <m:mtd>
1521            <m:mrow>
1522             <xsl:choose>
1523              <xsl:when test="name(*[last()])='m:apply'">
1524               <xsl:apply-templates select="*[last()]"/>
1525              </xsl:when>
1526              <xsl:otherwise>
1527               <m:mtext>Consider</m:mtext>
1528               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1529               <xsl:apply-templates select="*[last()]"/>
1530              </xsl:otherwise>
1531             </xsl:choose>
1532            </m:mrow>
1533           </m:mtd>
1534          </m:mtr>
1535          <xsl:apply-templates mode="thread" select="*[(last()-2)]"/>
1536         </m:mtable>
1537       </xsl:when>
1538       -->
1539       <!-- REWRITE_AND_APPLY -->
1540       <xsl:when test="$name='rewrite_and_apply'">
1541         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1542          <m:mtr>
1543           <m:mtd>
1544            <m:mrow>
1545             <xsl:apply-templates select="*[2]"/>
1546            </m:mrow>
1547           </m:mtd>
1548          </m:mtr>
1549          <m:mtr>
1550           <m:mtd>
1551            <m:mrow>
1552             <m:mtext>Then&#x00a0;apply&#x00a0;it&#x00a0;to</m:mtext>
1553             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1554             <xsl:apply-templates select="*[position()>2]"/>
1555            </m:mrow>
1556           </m:mtd>
1557          </m:mtr>
1558        </m:mtable>
1559       </xsl:when>
1560       <!-- AND_IND -->
1561       <xsl:when test="$name='and_ind'">
1562         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1563          <m:mtr>
1564           <m:mtd>
1565            <m:mrow>
1566             <xsl:choose>
1567              <xsl:when test="name(*[2])='m:apply'">
1568               <xsl:apply-templates select="*[2]"/>
1569              </xsl:when>
1570              <xsl:otherwise>
1571               <m:mtext>Consider</m:mtext>
1572               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1573               <xsl:apply-templates select="*[2]"/>
1574              </xsl:otherwise>
1575             </xsl:choose>
1576            </m:mrow>
1577           </m:mtd>
1578          </m:mtr>
1579          <m:mtr>
1580           <m:mtd>
1581            <m:mrow>
1582             <m:mtext>In&#x00a0;particular,&#x00a0;we&#x00a0;have</m:mtext>
1583            </m:mrow>
1584           </m:mtd>
1585          </m:mtr>
1586          <m:mtr>
1587           <m:mtd>
1588            <m:mrow>
1589             <m:mtext>(</m:mtext>
1590             <xsl:apply-templates select="*[3]"/>
1591             <m:mtext>)</m:mtext>
1592             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1593             <xsl:apply-templates select="*[4]"/>
1594             </m:mrow>
1595           </m:mtd>
1596          </m:mtr>
1597          <m:mtr>
1598           <m:mtd>
1599            <m:mrow>
1600             <m:mtext>(</m:mtext>
1601             <xsl:apply-templates select="*[5]"/>
1602             <m:mtext>)</m:mtext>
1603             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1604             <xsl:apply-templates select="*[6]"/>
1605             </m:mrow>
1606           </m:mtd>
1607          </m:mtr>
1608          <m:mtr>
1609           <m:mtd>
1610            <m:mrow>
1611             <xsl:apply-templates select="*[7]"/>
1612            </m:mrow>
1613           </m:mtd>
1614          </m:mtr>
1615         </m:mtable>
1616       </xsl:when>
1617       <!-- full_or_ind -->
1618       <xsl:when test="$name='full_or_ind'">
1619         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1620          <m:mtr>
1621           <m:mtd>
1622            <m:mrow>
1623             <xsl:choose>
1624              <xsl:when test="name(*[2])='m:apply'">
1625               <xsl:apply-templates select="*[2]"/>
1626              </xsl:when>
1627              <xsl:otherwise>
1628               <m:mtext>Consider</m:mtext>
1629               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1630               <xsl:apply-templates select="*[2]"/>
1631              </xsl:otherwise>
1632             </xsl:choose>
1633            </m:mrow>
1634           </m:mtd>
1635          </m:mtr>
1636          <m:mtr>
1637           <m:mtd>
1638            <m:mrow>
1639             <m:mtext>We&#x00a0;proceed&#x00a0;by&#x00a0;cases&#x00a0;to&#x00a0;prove</m:mtext>
1640             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1641             <xsl:apply-templates select="*[3]"/>
1642            </m:mrow>
1643           </m:mtd>
1644          </m:mtr>
1645          <m:mtr>
1646           <m:mtd>
1647            <m:mrow>
1648             <m:mtext>Left:&#x00a0;suppose</m:mtext>
1649             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1650             <m:mo stretchy="false">(</m:mo>
1651             <xsl:apply-templates select="*[4]/m:bvar/m:ci"/>
1652             <m:mo stretchy="false">)</m:mo>
1653             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1654             <xsl:apply-templates select="*[4]/m:bvar/m:type/*[1]"/>
1655            </m:mrow>
1656           </m:mtd>
1657          </m:mtr>
1658          <m:mtr>
1659           <m:mtd>
1660            <m:mrow>
1661             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1662             <xsl:apply-templates select="*[4]/*[3]"/>
1663            </m:mrow>
1664           </m:mtd>
1665          </m:mtr>
1666          <m:mtr>
1667           <m:mtd>
1668            <m:mrow>
1669             <m:mtext>Right:&#x00a0;suppose</m:mtext>
1670             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1671             <m:mo stretchy="false">(</m:mo>
1672             <xsl:apply-templates select="*[5]/m:bvar/m:ci"/>
1673             <m:mo stretchy="false">)</m:mo>
1674             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1675             <xsl:apply-templates select="*[5]/m:bvar/m:type/*[1]"/>
1676            </m:mrow>
1677           </m:mtd>
1678          </m:mtr>
1679          <m:mtr>
1680           <m:mtd>
1681            <m:mrow>
1682             <xsl:apply-templates select="*[5]/*[3]"/>
1683            </m:mrow>
1684           </m:mtd>
1685          </m:mtr>
1686         </m:mtable>
1687       </xsl:when>
1688       <!-- OR_IND -->
1689       <xsl:when test="$name='or_ind'">
1690         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1691          <m:mtr>
1692           <m:mtd>
1693            <m:mrow>
1694             <xsl:choose>
1695              <xsl:when test="name(*[2])='m:apply'">
1696               <xsl:apply-templates select="*[2]"/>
1697              </xsl:when>
1698              <xsl:otherwise>
1699               <m:mtext>Consider</m:mtext>
1700               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1701               <xsl:apply-templates select="*[2]"/>
1702              </xsl:otherwise>
1703             </xsl:choose>
1704            </m:mrow>
1705           </m:mtd>
1706          </m:mtr>
1707          <m:mtr>
1708           <m:mtd>
1709            <m:mrow>
1710             <m:mtext>We&#x00a0;prove</m:mtext>
1711             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1712             <xsl:apply-templates select="*[3]"/>
1713             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1714             <m:mtext>by&#x00a0;cases:</m:mtext>
1715            </m:mrow>
1716           </m:mtd>
1717          </m:mtr>
1718          <m:mtr>
1719           <m:mtd>
1720            <m:mrow>
1721             <m:mtext>Left</m:mtext>
1722             <xsl:apply-templates select="*[4]"/>
1723            </m:mrow>
1724           </m:mtd>
1725          </m:mtr>
1726          <m:mtr>
1727           <m:mtd>
1728            <m:mrow>
1729             <m:mtext>Right</m:mtext>
1730             <xsl:apply-templates select="*[5]"/>
1731            </m:mrow>
1732           </m:mtd>
1733          </m:mtr>
1734         </m:mtable>
1735       </xsl:when>
1736       <!-- EX_IND -->
1737       <xsl:when test="$name='ex_ind'">
1738         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1739          <m:mtr>
1740           <m:mtd>
1741            <m:mrow>
1742             <xsl:choose>
1743              <xsl:when test="name(*[2])='m:apply'">
1744               <xsl:apply-templates select="*[2]"/>
1745              </xsl:when>
1746              <xsl:otherwise>
1747               <m:mtext>Consider</m:mtext>
1748               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1749               <xsl:apply-templates select="*[2]"/>
1750              </xsl:otherwise>
1751             </xsl:choose>
1752            </m:mrow>
1753           </m:mtd>
1754          </m:mtr>
1755          <m:mtr>
1756           <m:mtd>
1757            <m:mrow>
1758             <m:mtext>Let</m:mtext>
1759             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1760             <xsl:apply-templates select="*[3]"/>
1761             <m:mtext>:</m:mtext>
1762             <xsl:apply-templates select="*[4]"/>
1763             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1764             <m:mtext>such&#x00a0;that</m:mtext>
1765             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1766             <m:mtext>(</m:mtext>
1767              <xsl:apply-templates select="*[5]"/>
1768             <m:mtext>)</m:mtext>
1769             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1770             <xsl:apply-templates select="*[6]"/>
1771            </m:mrow>
1772           </m:mtd>
1773          </m:mtr>
1774          <m:mtr>
1775           <m:mtd>
1776            <m:mrow>
1777             <xsl:apply-templates select="*[7]"/>
1778            </m:mrow>
1779           </m:mtd>
1780          </m:mtr>
1781         </m:mtable>
1782       </xsl:when>
1783       <!-- EQ_CHAIN -->
1784       <xsl:when test="$name='eq_chain'">
1785        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1786         <m:mtr>
1787          <m:mtd>
1788           <m:mrow>
1789            <m:mtext mathcolor="Red">We&#x00a0;have&#x00a0;the&#x00a0;following&#x00a0;equality&#x00a0;chain:</m:mtext>
1790           </m:mrow>
1791          </m:mtd>
1792         </m:mtr>
1793         <xsl:for-each select="*[position() mod 2 = 0]">
1794         <xsl:variable name="pos" select="position()"/>
1795         <m:mtr>
1796          <m:mtd>
1797           <m:mrow>
1798            <xsl:choose>
1799            <xsl:when test="$pos = 1">
1800             <xsl:apply-templates select="."/>
1801             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1802             <m:mo>=</m:mo>
1803            </xsl:when>
1804            <xsl:otherwise>
1805             <m:mo>=</m:mo>
1806             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1807             <xsl:apply-templates select="."/>
1808            </xsl:otherwise>
1809            </xsl:choose>
1810           </m:mrow>
1811          </m:mtd>
1812         </m:mtr>
1813         <xsl:if test="$pos != last()">
1814         <m:mtr>
1815          <m:mtd>
1816           <m:mrow>
1817            <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
1818            <xsl:apply-templates select="../*[position()=2*$pos +1]"/>
1819           </m:mrow>
1820          </m:mtd>
1821         </m:mtr>
1822         </xsl:if>
1823         </xsl:for-each>
1824        </m:mtable>
1825       </xsl:when>
1826       <!-- DISEQ_CHAIN -->
1827       <xsl:when test="$name='diseq_chain'">
1828        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1829         <m:mtr>
1830          <m:mtd>
1831           <m:mrow>
1832            <m:mtext mathcolor="Red">We&#x00a0;have&#x00a0;the&#x00a0;following&#x00a0;disequality&#x00a0;chain:</m:mtext>
1833           </m:mrow>
1834          </m:mtd>
1835         </m:mtr>
1836         <xsl:for-each select="*[position() mod 3 = 2]">
1837         <xsl:variable name="pos" select="position()"/>
1838         <m:mtr>
1839          <m:mtd>
1840           <m:mrow>
1841            <xsl:choose>
1842            <xsl:when test="$pos = 1">
1843             <xsl:apply-templates select="."/>
1844             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1845             <mo><xsl:apply-templates select="../*[position()=3*$pos]"/></mo>
1846            </xsl:when>
1847            <xsl:otherwise>
1848             <mo><xsl:apply-templates select="../*[position()=3*($pos - 1)]"/></mo>
1849             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1850             <xsl:apply-templates select="."/>
1851            </xsl:otherwise>
1852            </xsl:choose>
1853           </m:mrow>
1854          </m:mtd>
1855         </m:mtr>
1856         <xsl:if test="$pos != last()">
1857         <m:mtr>
1858          <m:mtd>
1859           <m:mrow>
1860            <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
1861            <xsl:apply-templates select="../*[position()=3*$pos +1]"/>
1862           </m:mrow>
1863          </m:mtd>
1864         </m:mtr>
1865         </xsl:if>
1866         </xsl:for-each>
1867        </m:mtable>
1868       </xsl:when>
1869       <!-- ***************************************** -->
1870       <!-- *********** NOTATIONS ******************* -->
1871       <!-- ***************************************** -->
1872       <!-- subst -->
1873       <xsl:when test="$name='subst'">
1874         <xsl:apply-templates select="*[3]"/>
1875 <!-- no font for ApplyFunction: <m:mo>&#xe8a0;</m:mo> -->
1876         <m:mo stretchy="false">[</m:mo>
1877         <xsl:apply-templates select="*[4]"/>
1878         <m:mo mathcolor="Green">
1879          <xsl:if test="$id != ''">
1880           <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1881          </xsl:if>&#8592;</m:mo>
1882         <xsl:apply-templates select="*[2]"/>
1883         <m:mo stretchy="false">]</m:mo>
1884       </xsl:when>
1885       <!-- lift -->
1886       <xsl:when test="$name='lift'">
1887         <m:msup>
1888          <m:mo mathcolor="Green">
1889           <xsl:if test="$id != ''">
1890            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1891           </xsl:if>&#8593;</m:mo>
1892          <xsl:apply-templates select="*[2]"/>
1893         </m:msup>
1894         <m:mrow>
1895          <m:mo stretchy="false">(</m:mo>
1896          <xsl:apply-templates select="*[3]"/>
1897          <m:mo stretchy="false">)</m:mo>
1898         </m:mrow>
1899       </xsl:when>
1900       <!-- lift_with_base -->
1901       <xsl:when test="$name='lift_with_base'">
1902         <m:msubsup>
1903          <m:mo mathcolor="Green">
1904           <xsl:if test="$id != ''">
1905            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1906           </xsl:if>&#8593;</m:mo>
1907          <xsl:apply-templates select="*[3]"/>
1908          <xsl:apply-templates select="*[4]"/>
1909         </m:msubsup>
1910         <m:mrow>
1911          <m:mo stretchy="false">(</m:mo>
1912          <xsl:apply-templates select="*[2]"/>
1913          <m:mo stretchy="false">)</m:mo>
1914         </m:mrow>
1915       </xsl:when>
1916       <!-- beta_red1 -->
1917       <xsl:when test="$name='beta_red1'">
1918         <xsl:apply-templates select="*[2]"/>
1919         <m:munder>
1920          <m:mo mathcolor="Green">
1921           <xsl:if test="$id != ''">
1922            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1923           </xsl:if>&#8594;</m:mo>
1924           <m:mi mathcolor="Green">&#946;</m:mi>
1925         </m:munder>
1926         <xsl:apply-templates select="*[3]"/>
1927       </xsl:when>
1928       <!-- beta_red -->
1929       <xsl:when test="$name='beta_red'">
1930         <xsl:apply-templates select="*[2]"/>
1931         <m:munderover>
1932          <m:mo mathcolor="Green">
1933           <xsl:if test="$id != ''">
1934            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1935           </xsl:if>&#8594;</m:mo>
1936           <m:mi mathcolor="Green">&#946;</m:mi>
1937           <m:mi mathcolor="Green">*</m:mi>
1938         </m:munderover>
1939         <xsl:apply-templates select="*[3]"/>
1940       </xsl:when>
1941       <!-- par_beta_red1 -->
1942       <xsl:when test="$name='par_beta_red1'">
1943         <xsl:apply-templates select="*[2]"/>
1944         <m:munder>
1945          <m:mo mathcolor="Green">
1946           <xsl:if test="$id != ''">
1947            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1948           </xsl:if>&#8658;</m:mo>
1949           <m:mi mathcolor="Green">&#946;</m:mi>
1950         </m:munder>
1951         <xsl:apply-templates select="*[3]"/>
1952       </xsl:when>
1953       <!-- par_beta_red -->
1954       <xsl:when test="$name='par_beta_red'">
1955         <xsl:apply-templates select="*[2]"/>
1956         <m:munderover>
1957          <m:mo mathcolor="Green">
1958           <xsl:if test="$id != ''">
1959            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1960           </xsl:if>&#8658;</m:mo>
1961           <m:mi mathcolor="Green">&#946;</m:mi>
1962           <m:mi mathcolor="Green">*</m:mi>
1963         </m:munderover>
1964         <xsl:apply-templates select="*[3]"/>
1965       </xsl:when>
1966       <!-- forgetful -->
1967       <xsl:when test="$name='forgetful'">
1968        <m:mfenced open="|" close="|">
1969         <xsl:if test="$id != ''">
1970          <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1971         </xsl:if>
1972         <xsl:apply-templates select="*[2]"/>
1973        </m:mfenced>
1974       </xsl:when>
1975       <!-- isomorphic -->
1976       <xsl:when test="$name='isomorphic'">
1977         <xsl:apply-templates select="*[2]"/>
1978         <m:mo mathcolor="Green">
1979          <xsl:if test="$id != ''">
1980           <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1981          </xsl:if>&#8773;</m:mo>
1982         <xsl:apply-templates select="*[3]"/>
1983       </xsl:when>
1984       <!-- interp -->
1985       <xsl:when test="$name='forgetful'">
1986        <m:mfenced open="[" close="]">
1987         <xsl:if test="$id != ''">
1988          <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1989         </xsl:if>
1990         <xsl:apply-templates select="*[2]"/>
1991        </m:mfenced>
1992       </xsl:when>
1993
1994       <!-- ERROR -->
1995       <xsl:otherwise>
1996        <m:mi>ERROR(&quot;<xsl:value-of select="$name"/>&quot;)</m:mi>
1997       </xsl:otherwise>
1998      </xsl:choose>
1999     </m:mrow>
2000 </xsl:template>
2001
2002 <!-- Il modo Thread non esiste piu'
2003 <xsl:template match="*" mode="thread">
2004  <xsl:variable name="name"><xsl:value-of select="following-sibling::*[position()=1]/m:csymbol"/></xsl:variable>
2005  <xsl:choose>
2006   <xsl:when test="$name='rw_step'">
2007          <m:mtr>
2008           <m:mtd>
2009            <m:mrow>
2010             <m:mtext>Rewrite</m:mtext>
2011             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2012             <xsl:apply-templates select="following-sibling::*[position()=1]/*[2]"/>
2013             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2014             <m:mtext>with</m:mtext>
2015             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2016             <xsl:apply-templates select="following-sibling::*[position()=1]/*[3]"/>
2017             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2018             <m:mtext>by</m:mtext>
2019             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2020             <xsl:apply-templates select="following-sibling::*[position()=1]/*[4]"/>
2021            </m:mrow>
2022           </m:mtd>
2023          </m:mtr>
2024          <m:mtr>
2025           <m:mtd>
2026            <m:mrow>
2027             <m:mtext mathcolor="Red">we&#x00a0;get</m:mtext>
2028             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2029             <xsl:apply-templates select="."/>
2030            </m:mrow>
2031           </m:mtd>
2032          </m:mtr>
2033    </xsl:when>
2034    <xsl:otherwise>
2035          <m:mtr>
2036           <m:mtd>
2037            <m:mrow>
2038             <xsl:apply-templates select="following-sibling::*[position()=1]"/>
2039            </m:mrow>
2040           </m:mtd>
2041          </m:mtr>
2042          <m:mtr>
2043           <m:mtd>
2044            <m:mrow>
2045             <m:mtext mathcolor="Red">we&#x00a0;get</m:mtext>
2046             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2047             <xsl:apply-templates select="."/>
2048            </m:mrow>
2049           </m:mtd>
2050          </m:mtr>
2051     </xsl:otherwise>
2052    </xsl:choose>
2053          <xsl:apply-templates mode="thread" select="preceding-sibling::*[position()=2]"/>
2054 </xsl:template>
2055 -->
2056
2057 <!-- LAMBDA -->
2058
2059 <xsl:template match="m:lambda">
2060     <xsl:variable name="charlength"><xsl:apply-templates select="*[position()=1]" mode="charcount"/></xsl:variable>
2061     <m:mrow>
2062      <xsl:if test="@id">
2063       <xsl:attribute name="xref">
2064        <xsl:value-of select="@id"/>
2065       </xsl:attribute>
2066      </xsl:if>
2067      <xsl:choose>
2068      <xsl:when test="$charlength >= $framewidth">
2069       <m:mtable align="baseline 1" equalrows="false" columnalign="left">
2070         <m:mtr>
2071           <m:mtd>
2072            <m:mrow>
2073             <m:mo mathcolor="Red">&#x03bb;</m:mo>
2074             <xsl:apply-templates select="m:bvar"/>
2075            </m:mrow>
2076           </m:mtd>
2077          </m:mtr>
2078        <m:mtr>
2079         <m:mtd>
2080          <m:mrow>
2081           <m:mo>.</m:mo>
2082           <xsl:apply-templates select="*[position()=2]"/>
2083          </m:mrow>
2084         </m:mtd>
2085        </m:mtr>
2086       </m:mtable>
2087      </xsl:when>
2088      <xsl:otherwise>
2089       <m:mo mathcolor="Red">&#x03bb;</m:mo>
2090       <xsl:apply-templates select="m:bvar/m:ci"/>
2091       <m:mo>:</m:mo>
2092       <xsl:apply-templates select="m:bvar/m:type"/>
2093       <m:mo>.</m:mo>
2094       <xsl:apply-templates select="*[position()=2]"/>
2095      </xsl:otherwise>
2096      </xsl:choose>
2097     </m:mrow>
2098 </xsl:template>
2099
2100
2101 <!--**********************-->
2102 <!--       COUNTING       -->
2103 <!--**********************-->
2104
2105 <xsl:template match="m:cn|m:and|m:or|m:not|m:exists|m:eq|m:lt|m:leq|m:gt|m:geq
2106  |m:in|m:notin|m:intersect|m:union|m:subset|m:prsubset|m:card|m:setdiff
2107  |m:plus|m:minus|m:times" mode="charcount">
2108 <xsl:param name="incurrent_length" select="0"/>
2109     <xsl:choose>
2110     <xsl:when test="$framewidth > ($incurrent_length + 3 + string-length())">
2111      <xsl:variable name="siblength">
2112       <xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount">
2113        <xsl:with-param name="incurrent_length" select="$incurrent_length + string-length()"/>
2114       </xsl:apply-templates>
2115      </xsl:variable>
2116      <xsl:choose>
2117      <xsl:when test="string($siblength) = &quot;&quot;">
2118       <xsl:value-of select="$incurrent_length + 3 + string-length()"/>
2119      </xsl:when>
2120      <xsl:otherwise>
2121       <xsl:value-of select="number($siblength)"/>
2122      </xsl:otherwise>
2123      </xsl:choose>
2124     </xsl:when>
2125     <xsl:otherwise>
2126      <xsl:value-of select="$incurrent_length + 3 + string-length()"/>
2127     </xsl:otherwise>
2128     </xsl:choose>
2129 </xsl:template>
2130
2131 <xsl:template match="m:ci|m:csymbol" mode="charcount">
2132 <xsl:param name="incurrent_length" select="0"/>
2133 <xsl:param name="nosibling" select="0"/>
2134     <xsl:choose>
2135     <xsl:when test="$framewidth > ($incurrent_length + string-length()) and ($nosibling = 0)">
2136      <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length + string-length()"/></xsl:apply-templates></xsl:variable>
2137      <xsl:choose>
2138      <xsl:when test="string($siblength) = &quot;&quot;">
2139       <xsl:value-of select="$incurrent_length + string-length()"/>
2140      </xsl:when>
2141      <xsl:otherwise>
2142       <xsl:value-of select="number($siblength)"/>
2143      </xsl:otherwise>
2144      </xsl:choose>
2145     </xsl:when>
2146     <xsl:otherwise>
2147      <xsl:value-of select="$incurrent_length + string-length()"/>
2148     </xsl:otherwise>
2149     </xsl:choose>
2150 </xsl:template>
2151
2152 <xsl:template match="*" mode="charcount">
2153 <xsl:param name="incurrent_length" select="0"/>
2154 <xsl:param name="nosibling" select="0"/>
2155  <xsl:choose>
2156   <xsl:when test="count(child::*) = 0">
2157    <!-- tremendous bug fixed. An empty element can still have siblings!!! -->
2158    <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length"/></xsl:apply-templates></xsl:variable>
2159    <xsl:choose>
2160     <xsl:when test="string($siblength) = &quot;&quot;">
2161      <xsl:value-of select="$incurrent_length"/>
2162     </xsl:when>
2163     <xsl:otherwise>
2164       <xsl:value-of select="number($siblength)"/>
2165     </xsl:otherwise>
2166    </xsl:choose>
2167   </xsl:when>
2168   <xsl:otherwise>
2169     <xsl:variable name="childlength"><xsl:apply-templates select="*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length"/><xsl:with-param name="nosibling" select="0"/></xsl:apply-templates></xsl:variable>
2170     <xsl:choose>
2171     <xsl:when test="$framewidth > number($childlength) and ($nosibling = 0)">
2172      <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$childlength"/></xsl:apply-templates></xsl:variable>
2173      <xsl:choose>
2174      <xsl:when test="string($siblength) = &quot;&quot;">
2175       <xsl:value-of select="number($childlength)"/>
2176      </xsl:when>
2177      <xsl:otherwise>
2178       <xsl:value-of select="number($siblength)"/>
2179      </xsl:otherwise>
2180      </xsl:choose>
2181     </xsl:when>
2182     <xsl:otherwise>
2183      <xsl:value-of select="number($childlength)"/>
2184     </xsl:otherwise>
2185     </xsl:choose>
2186   </xsl:otherwise>
2187  </xsl:choose>
2188 </xsl:template>
2189
2190 </xsl:stylesheet>
2191