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       <!-- ***************************************** -->
1109       <!-- *********** PROOF ELEMENTS ************** -->
1110       <!-- ***************************************** -->
1111       <!-- PROOF -->
1112       <xsl:when test="$name='proof'">
1113         <!-- CSC: $explodeall until the annotationHelper can handle mactions -->
1114         <xsl:variable name="test" select="(not($explodeall)) and
1115            (not(preceding-sibling::*[1]/text()='letin1')) and
1116            (not(preceding-sibling::*[1]/text()='rw_step')) and
1117            (not(name(..)='m:lambda'))"/>
1118         <xsl:variable name="hidden_details">
1119          <xsl:if test="$test">
1120           <!-- Details hided (default) -->
1121           <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1122            <m:mtr>
1123             <m:mtd>
1124              <m:mrow>
1125               <m:mtext mathcolor="Red">We&#x00a0;can&#x00a0;prove</m:mtext>
1126               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1127               <!-- the last child is either the expected type, if provided,-->
1128               <!-- or the synthesized type.                                -->
1129               <xsl:apply-templates select="*[position()=last()]"/>
1130               <m:mrow>
1131                <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1132                <m:mtext mathcolor="Green">(explain)</m:mtext>
1133               </m:mrow>
1134              </m:mrow>
1135             </m:mtd>
1136            </m:mtr>
1137           </m:mtable>
1138          </xsl:if>
1139         </xsl:variable>
1140         <xsl:variable name="shown_details">
1141          <!-- Show details -->
1142          <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1143           <m:mtr>
1144            <m:mtd>
1145             <m:mrow>
1146              <xsl:apply-templates select="*[position()=2]"/>
1147             </m:mrow>
1148            </m:mtd>
1149           </m:mtr>
1150           <xsl:variable name="hidedetails">
1151             <m:mrow>
1152              <m:mphantom>
1153               <m:mtext>_</m:mtext>
1154              </m:mphantom>
1155              <xsl:if test="$test">
1156               <m:mtext mathcolor="Green">(hide&#x00a0;details)</m:mtext>
1157              </xsl:if>
1158             </m:mrow>
1159           </xsl:variable>
1160           <m:mtr>
1161            <m:mtd>
1162             <m:mrow>
1163              <m:mtext mathcolor="Red">we&#x00a0;proved</m:mtext>
1164              <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1165              <xsl:apply-templates select="*[position()=3]"/>
1166              <xsl:if test="not(*[4])">
1167               <xsl:copy-of select="$hidedetails"/>
1168              </xsl:if>
1169             </m:mrow>
1170            </m:mtd>
1171           </m:mtr>
1172           <xsl:if test="*[4]">
1173            <m:mtr>
1174             <m:mtd>
1175              <m:mrow>
1176               <m:mtext mathcolor="Red">that&#x00a0;is&#x00a0;equivalent&#x00a0;to</m:mtext>
1177               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1178               <xsl:apply-templates select="*[position()=4]"/>
1179               <xsl:copy-of select="$hidedetails"/>
1180              </m:mrow>
1181             </m:mtd>
1182            </m:mtr>
1183           </xsl:if>
1184          </m:mtable>
1185         </xsl:variable>
1186         <xsl:choose>
1187          <xsl:when test="$test">
1188           <m:maction actiontype="toggle">
1189            <xsl:copy-of select="$hidden_details"/>
1190            <xsl:copy-of select="$shown_details"/>
1191           </m:maction>
1192          </xsl:when>
1193          <xsl:otherwise>
1194           <xsl:copy-of select="$shown_details"/>
1195          </xsl:otherwise>
1196         </xsl:choose>
1197       </xsl:when>
1198       <!-- SIDE_PROOF -->
1199       <xsl:when test="$name='side_proof'">
1200         <xsl:variable name="test" select="(not($explodeall))"/>
1201         <xsl:variable name="hidden_details">
1202          <xsl:if test="$test">
1203           <!-- Details hided (default) -->
1204           <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1205            <m:mtr>
1206             <m:mtd>
1207              <m:mrow>
1208               <m:mtext mathcolor="Red">We&#x00a0;can&#x00a0;prove</m:mtext>
1209               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1210               <!-- the last child is either the expected type, if provided,-->
1211               <!-- or the synthesized type.                                -->
1212               <xsl:apply-templates select="*[position()=last()]"/>
1213               <m:mrow>
1214                <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1215                <m:mtext mathcolor="Green">(explain)</m:mtext>
1216               </m:mrow>
1217              </m:mrow>
1218             </m:mtd>
1219            </m:mtr>
1220           </m:mtable>
1221          </xsl:if>
1222         </xsl:variable>
1223         <xsl:variable name="shown_details">
1224          <!-- Show details -->
1225          <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1226           <m:mtr>
1227            <m:mtd>
1228             <m:mrow>
1229              <xsl:apply-templates select="*[position()=2]"/>
1230             </m:mrow>
1231            </m:mtd>
1232           </m:mtr>
1233           <xsl:variable name="hidedetails">
1234             <m:mrow>
1235              <m:mphantom>
1236               <m:mtext>_</m:mtext>
1237              </m:mphantom>
1238              <xsl:if test="$test">
1239               <m:mtext mathcolor="Green">(hide&#x00a0;details)</m:mtext>
1240              </xsl:if>
1241             </m:mrow>
1242           </xsl:variable>
1243           <m:mtr>
1244            <m:mtd>
1245             <m:mrow>
1246              <m:mtext mathcolor="Red">we&#x00a0;proved</m:mtext>
1247              <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1248              <xsl:apply-templates select="*[position()=3]"/>
1249              <xsl:if test="not(*[4])">
1250               <xsl:copy-of select="$hidedetails"/>
1251              </xsl:if>
1252             </m:mrow>
1253            </m:mtd>
1254           </m:mtr>
1255           <xsl:if test="*[4]">
1256            <m:mtr>
1257             <m:mtd>
1258              <m:mrow>
1259               <m:mtext mathcolor="Red">that&#x00a0;is&#x00a0;equivalent&#x00a0;to</m:mtext>
1260               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1261               <xsl:apply-templates select="*[position()=4]"/>
1262               <xsl:copy-of select="$hidedetails"/>
1263              </m:mrow>
1264             </m:mtd>
1265            </m:mtr>
1266           </xsl:if>
1267          </m:mtable>
1268         </xsl:variable>
1269         <xsl:choose>
1270          <xsl:when test="$test">
1271           <m:maction actiontype="toggle">
1272            <xsl:copy-of select="$hidden_details"/>
1273            <xsl:copy-of select="$shown_details"/>
1274           </m:maction>
1275          </xsl:when>
1276          <xsl:otherwise>
1277           <xsl:copy-of select="$shown_details"/>
1278          </xsl:otherwise>
1279         </xsl:choose>
1280       </xsl:when>
1281       <!-- LETIN1 -->
1282       <xsl:when test="$name='letin1'">
1283         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1284          <m:mtr>
1285           <m:mtd>
1286            <m:mrow>
1287             <xsl:apply-templates select="*[position()=2]"/>
1288            </m:mrow>
1289           </m:mtd>
1290          </m:mtr>
1291          <m:mtr>
1292           <m:mtd>
1293            <m:mrow>
1294             <xsl:apply-templates select="*[position()=3]"/>
1295            </m:mrow>
1296           </m:mtd>
1297          </m:mtr>
1298         </m:mtable>
1299       </xsl:when>
1300       <xsl:when test="$name='by_induction'">
1301        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1302         <m:mtr>
1303          <m:mtd>
1304           <m:mrow>
1305            <m:mtext mathcolor="Red">We&#x00a0;prove</m:mtext>
1306            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1307            <xsl:apply-templates select="../*[3]"/>
1308           </m:mrow>
1309          </m:mtd>
1310         </m:mtr>
1311         <m:mtr>
1312          <m:mtd>
1313           <m:mrow>
1314            <m:mtext mathcolor="Red">by&#x00a0;induction&#x00a0;on</m:mtext>
1315            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1316            <xsl:apply-templates
1317             select="*[position()=last()]/*[position()=last()]"/>
1318           </m:mrow>
1319          </m:mtd>
1320         </m:mtr>
1321         <m:mtr>
1322          <m:mtd>
1323           <m:mrow>
1324            <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1325             <xsl:for-each select="*[position()>3 and not(position()=last())]">
1326              <m:mtr>
1327               <m:mtd>
1328                <m:mrow>
1329                 <xsl:apply-templates select="."/>
1330                </m:mrow>
1331               </m:mtd>
1332              </m:mtr>
1333             </xsl:for-each>
1334            </m:mtable>
1335           </m:mrow>
1336          </m:mtd>
1337         </m:mtr>
1338        </m:mtable>
1339       </xsl:when>
1340       <!-- inductive_case -->
1341       <xsl:when test="$name='inductive_case'">
1342        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1343         <m:mtr>
1344          <m:mtd>
1345           <m:mrow>
1346            <m:mtext mathcolor="Red">Case</m:mtext>
1347            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1348            <xsl:apply-templates select="*[2]"/>
1349           </m:mrow>
1350          </m:mtd>
1351         </m:mtr>
1352         <m:mtr>
1353          <m:mtd>
1354           <m:mrow>
1355            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1356            <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1357             <xsl:if test="*[3]/*[position()>1]">
1358              <m:mtr>
1359               <m:mtd>
1360                <m:mrow>
1361                 <m:mtext mathcolor="Red">By&#x00a0;induction&#x00a0;hypothesis,&#x00a0;we&#x00a0;have:</m:mtext>
1362                </m:mrow>
1363               </m:mtd>
1364              </m:mtr>
1365              <m:mtr>
1366               <m:mtd>
1367                <m:mrow>
1368                 <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1369                 <xsl:for-each select="*[3]/*[position()>1]">
1370                  <m:mo stretchy="false">(</m:mo>
1371                  <xsl:apply-templates select="m:ci"/>
1372                  <m:mo stretchy="false">) </m:mo>
1373                  <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1374                  <xsl:apply-templates select="m:type"/>
1375                 </xsl:for-each>
1376                </m:mrow>
1377               </m:mtd>
1378              </m:mtr>
1379             </xsl:if>
1380             <m:mtr>
1381              <m:mtd>
1382               <m:mrow>
1383                <xsl:apply-templates select="*[4]"/>
1384               </m:mrow>
1385              </m:mtd>
1386             </m:mtr>
1387            </m:mtable>
1388           </m:mrow>
1389          </m:mtd>
1390         </m:mtr>
1391        </m:mtable>
1392       </xsl:when>
1393       <!-- case_lhs  -->
1394       <xsl:when test="$name='case_lhs'">
1395        <m:mrow>
1396         <xsl:choose>
1397          <xsl:when test="count(*)=2">
1398           <xsl:apply-templates select="*[2]"/>
1399          </xsl:when>
1400          <xsl:otherwise>
1401           <m:mo stretchy="false">(</m:mo>
1402           <xsl:apply-templates select="*[2]"/>
1403           <xsl:for-each select="m:bvar">
1404            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1405            <xsl:apply-templates select="*[1]"/>
1406            <m:mtext>:</m:mtext>
1407            <xsl:apply-templates select="m:type/*[1]"/>
1408           </xsl:for-each>
1409           <m:mo stretchy="false">)</m:mo>
1410          </xsl:otherwise>
1411         </xsl:choose>
1412        </m:mrow>
1413       </xsl:when>
1414       <!-- false_ind  -->
1415       <xsl:when test="$name='false_ind'">
1416        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1417         <m:mtr>
1418          <m:mtd>
1419           <m:mrow>
1420            <xsl:apply-templates select="*[3]"/>
1421           </m:mrow>
1422          </m:mtd>
1423         </m:mtr>
1424         <m:mtr>
1425          <m:mtd>
1426           <m:mrow>
1427            <m:mtext mathcolor="Red">Contradiction.</m:mtext>
1428           </m:mrow>
1429          </m:mtd>
1430         </m:mtr>
1431        </m:mtable>
1432       </xsl:when>
1433       <!-- LET-IN -->
1434       <xsl:when test="$name='letin'">
1435         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1436          <!-- <xsl:for-each select="APPLY[m:csymbol and (string(m:csymbol)='let')]"> -->
1437          <xsl:for-each select="*[(last() > position()) and (position()>1)]">
1438          <m:mtr>
1439           <m:mtd>
1440            <m:mrow>
1441             <xsl:apply-templates select="."/>
1442            </m:mrow>
1443           </m:mtd>
1444          </m:mtr>
1445          </xsl:for-each>
1446          <m:mtr>
1447           <m:mtd>
1448            <m:mrow>
1449             <xsl:apply-templates select="*[position()=last()]"/>
1450            </m:mrow>
1451           </m:mtd>
1452          </m:mtr>
1453         </m:mtable>
1454       </xsl:when>
1455       <!-- LET -->
1456       <xsl:when test="$name='let'">
1457        <m:mtext>(</m:mtext>
1458        <xsl:apply-templates select="m:ci"/>
1459        <m:mtext>) </m:mtext>
1460        <xsl:apply-templates select="*[3]"/>
1461       </xsl:when>
1462       <!-- RW_STEP -->
1463       <xsl:when test="$name='rw_step'">
1464         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1465          <m:mtr>
1466           <m:mtd>
1467            <m:mrow>
1468             <xsl:choose>
1469              <xsl:when test="name(*[2])='m:apply'">
1470               <xsl:apply-templates select="*[2]"/>
1471              </xsl:when>
1472              <xsl:otherwise>
1473               <m:mtext>Consider</m:mtext>
1474               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1475               <xsl:apply-templates select="*[2]"/>
1476              </xsl:otherwise>
1477             </xsl:choose>
1478            </m:mrow>
1479           </m:mtd>
1480          </m:mtr>
1481          <m:mtr>
1482           <m:mtd>
1483            <m:mrow>
1484             <m:mtext>Rewrite</m:mtext>
1485             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1486             <xsl:apply-templates select="*[3]"/>
1487             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1488             <m:mtext>with</m:mtext>
1489             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1490             <xsl:apply-templates select="*[4]"/>
1491             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1492             <m:mtext>by</m:mtext>
1493             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1494             <xsl:apply-templates select="*[5]"/>
1495            </m:mrow>
1496           </m:mtd>
1497          </m:mtr>
1498         </m:mtable>
1499       </xsl:when>
1500       <!-- not existing any more
1501       <xsl:when test="$name='thread'">
1502         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1503          <m:mtr>
1504           <m:mtd>
1505            <m:mrow>
1506             <xsl:choose>
1507              <xsl:when test="name(*[last()])='m:apply'">
1508               <xsl:apply-templates select="*[last()]"/>
1509              </xsl:when>
1510              <xsl:otherwise>
1511               <m:mtext>Consider</m:mtext>
1512               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1513               <xsl:apply-templates select="*[last()]"/>
1514              </xsl:otherwise>
1515             </xsl:choose>
1516            </m:mrow>
1517           </m:mtd>
1518          </m:mtr>
1519          <xsl:apply-templates mode="thread" select="*[(last()-2)]"/>
1520         </m:mtable>
1521       </xsl:when>
1522       -->
1523       <!-- REWRITE_AND_APPLY -->
1524       <xsl:when test="$name='rewrite_and_apply'">
1525         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1526          <m:mtr>
1527           <m:mtd>
1528            <m:mrow>
1529             <xsl:apply-templates select="*[2]"/>
1530            </m:mrow>
1531           </m:mtd>
1532          </m:mtr>
1533          <m:mtr>
1534           <m:mtd>
1535            <m:mrow>
1536             <m:mtext>Then&#x00a0;apply&#x00a0;it&#x00a0;to</m:mtext>
1537             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1538             <xsl:apply-templates select="*[position()>2]"/>
1539            </m:mrow>
1540           </m:mtd>
1541          </m:mtr>
1542        </m:mtable>
1543       </xsl:when>
1544       <!-- AND_IND -->
1545       <xsl:when test="$name='and_ind'">
1546         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1547          <m:mtr>
1548           <m:mtd>
1549            <m:mrow>
1550             <xsl:choose>
1551              <xsl:when test="name(*[2])='m:apply'">
1552               <xsl:apply-templates select="*[2]"/>
1553              </xsl:when>
1554              <xsl:otherwise>
1555               <m:mtext>Consider</m:mtext>
1556               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1557               <xsl:apply-templates select="*[2]"/>
1558              </xsl:otherwise>
1559             </xsl:choose>
1560            </m:mrow>
1561           </m:mtd>
1562          </m:mtr>
1563          <m:mtr>
1564           <m:mtd>
1565            <m:mrow>
1566             <m:mtext>In&#x00a0;particular,&#x00a0;we&#x00a0;have</m:mtext>
1567            </m:mrow>
1568           </m:mtd>
1569          </m:mtr>
1570          <m:mtr>
1571           <m:mtd>
1572            <m:mrow>
1573             <m:mtext>(</m:mtext>
1574             <xsl:apply-templates select="*[3]"/>
1575             <m:mtext>)</m:mtext>
1576             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1577             <xsl:apply-templates select="*[4]"/>
1578             </m:mrow>
1579           </m:mtd>
1580          </m:mtr>
1581          <m:mtr>
1582           <m:mtd>
1583            <m:mrow>
1584             <m:mtext>(</m:mtext>
1585             <xsl:apply-templates select="*[5]"/>
1586             <m:mtext>)</m:mtext>
1587             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1588             <xsl:apply-templates select="*[6]"/>
1589             </m:mrow>
1590           </m:mtd>
1591          </m:mtr>
1592          <m:mtr>
1593           <m:mtd>
1594            <m:mrow>
1595             <xsl:apply-templates select="*[7]"/>
1596            </m:mrow>
1597           </m:mtd>
1598          </m:mtr>
1599         </m:mtable>
1600       </xsl:when>
1601       <!-- full_or_ind -->
1602       <xsl:when test="$name='full_or_ind'">
1603         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1604          <m:mtr>
1605           <m:mtd>
1606            <m:mrow>
1607             <xsl:choose>
1608              <xsl:when test="name(*[2])='m:apply'">
1609               <xsl:apply-templates select="*[2]"/>
1610              </xsl:when>
1611              <xsl:otherwise>
1612               <m:mtext>Consider</m:mtext>
1613               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1614               <xsl:apply-templates select="*[2]"/>
1615              </xsl:otherwise>
1616             </xsl:choose>
1617            </m:mrow>
1618           </m:mtd>
1619          </m:mtr>
1620          <m:mtr>
1621           <m:mtd>
1622            <m:mrow>
1623             <m:mtext>We&#x00a0;proceed&#x00a0;by&#x00a0;cases&#x00a0;to&#x00a0;prove</m:mtext>
1624             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1625             <xsl:apply-templates select="*[3]"/>
1626            </m:mrow>
1627           </m:mtd>
1628          </m:mtr>
1629          <m:mtr>
1630           <m:mtd>
1631            <m:mrow>
1632             <m:mtext>Left:&#x00a0;suppose</m:mtext>
1633             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1634             <m:mo stretchy="false">(</m:mo>
1635             <xsl:apply-templates select="*[4]/m:bvar/m:ci"/>
1636             <m:mo stretchy="false">)</m:mo>
1637             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1638             <xsl:apply-templates select="*[4]/m:bvar/m:type/*[1]"/>
1639            </m:mrow>
1640           </m:mtd>
1641          </m:mtr>
1642          <m:mtr>
1643           <m:mtd>
1644            <m:mrow>
1645             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1646             <xsl:apply-templates select="*[4]/*[3]"/>
1647            </m:mrow>
1648           </m:mtd>
1649          </m:mtr>
1650          <m:mtr>
1651           <m:mtd>
1652            <m:mrow>
1653             <m:mtext>Right:&#x00a0;suppose</m:mtext>
1654             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1655             <m:mo stretchy="false">(</m:mo>
1656             <xsl:apply-templates select="*[5]/m:bvar/m:ci"/>
1657             <m:mo stretchy="false">)</m:mo>
1658             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1659             <xsl:apply-templates select="*[5]/m:bvar/m:type/*[1]"/>
1660            </m:mrow>
1661           </m:mtd>
1662          </m:mtr>
1663          <m:mtr>
1664           <m:mtd>
1665            <m:mrow>
1666             <xsl:apply-templates select="*[5]/*[3]"/>
1667            </m:mrow>
1668           </m:mtd>
1669          </m:mtr>
1670         </m:mtable>
1671       </xsl:when>
1672       <!-- OR_IND -->
1673       <xsl:when test="$name='or_ind'">
1674         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1675          <m:mtr>
1676           <m:mtd>
1677            <m:mrow>
1678             <xsl:choose>
1679              <xsl:when test="name(*[2])='m:apply'">
1680               <xsl:apply-templates select="*[2]"/>
1681              </xsl:when>
1682              <xsl:otherwise>
1683               <m:mtext>Consider</m:mtext>
1684               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1685               <xsl:apply-templates select="*[2]"/>
1686              </xsl:otherwise>
1687             </xsl:choose>
1688            </m:mrow>
1689           </m:mtd>
1690          </m:mtr>
1691          <m:mtr>
1692           <m:mtd>
1693            <m:mrow>
1694             <m:mtext>We&#x00a0;prove</m:mtext>
1695             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1696             <xsl:apply-templates select="*[3]"/>
1697             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1698             <m:mtext>by&#x00a0;cases:</m:mtext>
1699            </m:mrow>
1700           </m:mtd>
1701          </m:mtr>
1702          <m:mtr>
1703           <m:mtd>
1704            <m:mrow>
1705             <m:mtext>Left</m:mtext>
1706             <xsl:apply-templates select="*[4]"/>
1707            </m:mrow>
1708           </m:mtd>
1709          </m:mtr>
1710          <m:mtr>
1711           <m:mtd>
1712            <m:mrow>
1713             <m:mtext>Right</m:mtext>
1714             <xsl:apply-templates select="*[5]"/>
1715            </m:mrow>
1716           </m:mtd>
1717          </m:mtr>
1718         </m:mtable>
1719       </xsl:when>
1720       <!-- EX_IND -->
1721       <xsl:when test="$name='ex_ind'">
1722         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1723          <m:mtr>
1724           <m:mtd>
1725            <m:mrow>
1726             <xsl:choose>
1727              <xsl:when test="name(*[2])='m:apply'">
1728               <xsl:apply-templates select="*[2]"/>
1729              </xsl:when>
1730              <xsl:otherwise>
1731               <m:mtext>Consider</m:mtext>
1732               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1733               <xsl:apply-templates select="*[2]"/>
1734              </xsl:otherwise>
1735             </xsl:choose>
1736            </m:mrow>
1737           </m:mtd>
1738          </m:mtr>
1739          <m:mtr>
1740           <m:mtd>
1741            <m:mrow>
1742             <m:mtext>Let</m:mtext>
1743             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1744             <xsl:apply-templates select="*[3]"/>
1745             <m:mtext>:</m:mtext>
1746             <xsl:apply-templates select="*[4]"/>
1747             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1748             <m:mtext>such&#x00a0;that</m:mtext>
1749             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1750             <m:mtext>(</m:mtext>
1751              <xsl:apply-templates select="*[5]"/>
1752             <m:mtext>)</m:mtext>
1753             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1754             <xsl:apply-templates select="*[6]"/>
1755            </m:mrow>
1756           </m:mtd>
1757          </m:mtr>
1758          <m:mtr>
1759           <m:mtd>
1760            <m:mrow>
1761             <xsl:apply-templates select="*[7]"/>
1762            </m:mrow>
1763           </m:mtd>
1764          </m:mtr>
1765         </m:mtable>
1766       </xsl:when>
1767       <!-- EQ_CHAIN -->
1768       <xsl:when test="$name='eq_chain'">
1769        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1770         <m:mtr>
1771          <m:mtd>
1772           <m:mrow>
1773            <m:mtext mathcolor="Red">We&#x00a0;have&#x00a0;the&#x00a0;following&#x00a0;equality&#x00a0;chain:</m:mtext>
1774           </m:mrow>
1775          </m:mtd>
1776         </m:mtr>
1777         <xsl:for-each select="*[position() mod 2 = 0]">
1778         <xsl:variable name="pos" select="position()"/>
1779         <m:mtr>
1780          <m:mtd>
1781           <m:mrow>
1782            <xsl:choose>
1783            <xsl:when test="$pos = 1">
1784             <xsl:apply-templates select="."/>
1785             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1786             <m:mo>=</m:mo>
1787            </xsl:when>
1788            <xsl:otherwise>
1789             <m:mo>=</m:mo>
1790             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1791             <xsl:apply-templates select="."/>
1792            </xsl:otherwise>
1793            </xsl:choose>
1794           </m:mrow>
1795          </m:mtd>
1796         </m:mtr>
1797         <xsl:if test="$pos != last()">
1798         <m:mtr>
1799          <m:mtd>
1800           <m:mrow>
1801            <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
1802            <xsl:apply-templates select="../*[position()=2*$pos +1]"/>
1803           </m:mrow>
1804          </m:mtd>
1805         </m:mtr>
1806         </xsl:if>
1807         </xsl:for-each>
1808        </m:mtable>
1809       </xsl:when>
1810       <!-- DISEQ_CHAIN -->
1811       <xsl:when test="$name='diseq_chain'">
1812        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1813         <m:mtr>
1814          <m:mtd>
1815           <m:mrow>
1816            <m:mtext mathcolor="Red">We&#x00a0;have&#x00a0;the&#x00a0;following&#x00a0;disequality&#x00a0;chain:</m:mtext>
1817           </m:mrow>
1818          </m:mtd>
1819         </m:mtr>
1820         <xsl:for-each select="*[position() mod 3 = 2]">
1821         <xsl:variable name="pos" select="position()"/>
1822         <m:mtr>
1823          <m:mtd>
1824           <m:mrow>
1825            <xsl:choose>
1826            <xsl:when test="$pos = 1">
1827             <xsl:apply-templates select="."/>
1828             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1829             <mo><xsl:apply-templates select="../*[position()=3*$pos]"/></mo>
1830            </xsl:when>
1831            <xsl:otherwise>
1832             <mo><xsl:apply-templates select="../*[position()=3*($pos - 1)]"/></mo>
1833             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1834             <xsl:apply-templates select="."/>
1835            </xsl:otherwise>
1836            </xsl:choose>
1837           </m:mrow>
1838          </m:mtd>
1839         </m:mtr>
1840         <xsl:if test="$pos != last()">
1841         <m:mtr>
1842          <m:mtd>
1843           <m:mrow>
1844            <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
1845            <xsl:apply-templates select="../*[position()=3*$pos +1]"/>
1846           </m:mrow>
1847          </m:mtd>
1848         </m:mtr>
1849         </xsl:if>
1850         </xsl:for-each>
1851        </m:mtable>
1852       </xsl:when>
1853       <!-- ***************************************** -->
1854       <!-- *********** NOTATIONS ******************* -->
1855       <!-- ***************************************** -->
1856       <!-- subst -->
1857       <xsl:when test="$name='subst'">
1858         <xsl:apply-templates select="*[3]"/>
1859 <!-- no font for ApplyFunction: <m:mo>&#xe8a0;</m:mo> -->
1860         <m:mo stretchy="false">[</m:mo>
1861         <xsl:apply-templates select="*[4]"/>
1862         <m:mo mathcolor="Green">
1863          <xsl:if test="$id != ''">
1864           <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1865          </xsl:if>&#8592;</m:mo>
1866         <xsl:apply-templates select="*[2]"/>
1867         <m:mo stretchy="false">]</m:mo>
1868       </xsl:when>
1869       <!-- lift -->
1870       <xsl:when test="$name='lift'">
1871         <m:msup>
1872          <m:mo mathcolor="Green">
1873           <xsl:if test="$id != ''">
1874            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1875           </xsl:if>&#8593;</m:mo>
1876          <xsl:apply-templates select="*[2]"/>
1877         </m:msup>
1878         <m:mrow>
1879          <m:mo stretchy="false">(</m:mo>
1880          <xsl:apply-templates select="*[3]"/>
1881          <m:mo stretchy="false">)</m:mo>
1882         </m:mrow>
1883       </xsl:when>
1884       <!-- lift_with_base -->
1885       <xsl:when test="$name='lift_with_base'">
1886         <m:msubsup>
1887          <m:mo mathcolor="Green">
1888           <xsl:if test="$id != ''">
1889            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1890           </xsl:if>&#8593;</m:mo>
1891          <xsl:apply-templates select="*[3]"/>
1892          <xsl:apply-templates select="*[4]"/>
1893         </m:msubsup>
1894         <m:mrow>
1895          <m:mo stretchy="false">(</m:mo>
1896          <xsl:apply-templates select="*[2]"/>
1897          <m:mo stretchy="false">)</m:mo>
1898         </m:mrow>
1899       </xsl:when>
1900       <!-- beta_red1 -->
1901       <xsl:when test="$name='beta_red1'">
1902         <xsl:apply-templates select="*[2]"/>
1903         <m:munder>
1904          <m:mo mathcolor="Green">
1905           <xsl:if test="$id != ''">
1906            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1907           </xsl:if>&#8594;</m:mo>
1908           <m:mi mathcolor="Green">&#946;</m:mi>
1909         </m:munder>
1910         <xsl:apply-templates select="*[3]"/>
1911       </xsl:when>
1912       <!-- beta_red -->
1913       <xsl:when test="$name='beta_red'">
1914         <xsl:apply-templates select="*[2]"/>
1915         <m:munderover>
1916          <m:mo mathcolor="Green">
1917           <xsl:if test="$id != ''">
1918            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1919           </xsl:if>&#8594;</m:mo>
1920           <m:mi mathcolor="Green">&#946;</m:mi>
1921           <m:mi mathcolor="Green">*</m:mi>
1922         </m:munderover>
1923         <xsl:apply-templates select="*[3]"/>
1924       </xsl:when>
1925       <!-- par_beta_red1 -->
1926       <xsl:when test="$name='par_beta_red1'">
1927         <xsl:apply-templates select="*[2]"/>
1928         <m:munder>
1929          <m:mo mathcolor="Green">
1930           <xsl:if test="$id != ''">
1931            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1932           </xsl:if>&#8658;</m:mo>
1933           <m:mi mathcolor="Green">&#946;</m:mi>
1934         </m:munder>
1935         <xsl:apply-templates select="*[3]"/>
1936       </xsl:when>
1937       <!-- par_beta_red -->
1938       <xsl:when test="$name='par_beta_red'">
1939         <xsl:apply-templates select="*[2]"/>
1940         <m:munderover>
1941          <m:mo mathcolor="Green">
1942           <xsl:if test="$id != ''">
1943            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1944           </xsl:if>&#8658;</m:mo>
1945           <m:mi mathcolor="Green">&#946;</m:mi>
1946           <m:mi mathcolor="Green">*</m:mi>
1947         </m:munderover>
1948         <xsl:apply-templates select="*[3]"/>
1949       </xsl:when>
1950       <!-- forgetful -->
1951       <xsl:when test="$name='forgetful'">
1952        <m:mfenced open="|" close="|">
1953         <xsl:if test="$id != ''">
1954          <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1955         </xsl:if>
1956         <xsl:apply-templates select="*[2]"/>
1957        </m:mfenced>
1958       </xsl:when>
1959       <!-- isomorphic -->
1960       <xsl:when test="$name='isomorphic'">
1961         <xsl:apply-templates select="*[2]"/>
1962         <m:mo mathcolor="Green">
1963          <xsl:if test="$id != ''">
1964           <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1965          </xsl:if>&#8773;</m:mo>
1966         <xsl:apply-templates select="*[3]"/>
1967       </xsl:when>
1968       <!-- interp -->
1969       <xsl:when test="$name='forgetful'">
1970        <m:mfenced open="[" close="]">
1971         <xsl:if test="$id != ''">
1972          <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1973         </xsl:if>
1974         <xsl:apply-templates select="*[2]"/>
1975        </m:mfenced>
1976       </xsl:when>
1977
1978       <!-- ERROR -->
1979       <xsl:otherwise>
1980        <m:mi>ERROR</m:mi>
1981       </xsl:otherwise>
1982      </xsl:choose>
1983     </m:mrow>
1984 </xsl:template>
1985
1986 <!-- Il modo Thread non esiste piu'
1987 <xsl:template match="*" mode="thread">
1988  <xsl:variable name="name"><xsl:value-of select="following-sibling::*[position()=1]/m:csymbol"/></xsl:variable>
1989  <xsl:choose>
1990   <xsl:when test="$name='rw_step'">
1991          <m:mtr>
1992           <m:mtd>
1993            <m:mrow>
1994             <m:mtext>Rewrite</m:mtext>
1995             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1996             <xsl:apply-templates select="following-sibling::*[position()=1]/*[2]"/>
1997             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1998             <m:mtext>with</m:mtext>
1999             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2000             <xsl:apply-templates select="following-sibling::*[position()=1]/*[3]"/>
2001             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2002             <m:mtext>by</m:mtext>
2003             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2004             <xsl:apply-templates select="following-sibling::*[position()=1]/*[4]"/>
2005            </m:mrow>
2006           </m:mtd>
2007          </m:mtr>
2008          <m:mtr>
2009           <m:mtd>
2010            <m:mrow>
2011             <m:mtext mathcolor="Red">we&#x00a0;get</m:mtext>
2012             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2013             <xsl:apply-templates select="."/>
2014            </m:mrow>
2015           </m:mtd>
2016          </m:mtr>
2017    </xsl:when>
2018    <xsl:otherwise>
2019          <m:mtr>
2020           <m:mtd>
2021            <m:mrow>
2022             <xsl:apply-templates select="following-sibling::*[position()=1]"/>
2023            </m:mrow>
2024           </m:mtd>
2025          </m:mtr>
2026          <m:mtr>
2027           <m:mtd>
2028            <m:mrow>
2029             <m:mtext mathcolor="Red">we&#x00a0;get</m:mtext>
2030             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2031             <xsl:apply-templates select="."/>
2032            </m:mrow>
2033           </m:mtd>
2034          </m:mtr>
2035     </xsl:otherwise>
2036    </xsl:choose>
2037          <xsl:apply-templates mode="thread" select="preceding-sibling::*[position()=2]"/>
2038 </xsl:template>
2039 -->
2040
2041 <!-- LAMBDA -->
2042
2043 <xsl:template match="m:lambda">
2044     <xsl:variable name="charlength"><xsl:apply-templates select="*[position()=1]" mode="charcount"/></xsl:variable>
2045     <m:mrow>
2046      <xsl:if test="@id">
2047       <xsl:attribute name="xref">
2048        <xsl:value-of select="@id"/>
2049       </xsl:attribute>
2050      </xsl:if>
2051      <xsl:choose>
2052      <xsl:when test="$charlength >= $framewidth">
2053       <m:mtable align="baseline 1" equalrows="false" columnalign="left">
2054         <m:mtr>
2055           <m:mtd>
2056            <m:mrow>
2057             <m:mo mathcolor="Red">&#x03bb;</m:mo>
2058             <xsl:apply-templates select="m:bvar"/>
2059            </m:mrow>
2060           </m:mtd>
2061          </m:mtr>
2062        <m:mtr>
2063         <m:mtd>
2064          <m:mrow>
2065           <m:mo>.</m:mo>
2066           <xsl:apply-templates select="*[position()=2]"/>
2067          </m:mrow>
2068         </m:mtd>
2069        </m:mtr>
2070       </m:mtable>
2071      </xsl:when>
2072      <xsl:otherwise>
2073       <m:mo mathcolor="Red">&#x03bb;</m:mo>
2074       <xsl:apply-templates select="m:bvar/m:ci"/>
2075       <m:mo>:</m:mo>
2076       <xsl:apply-templates select="m:bvar/m:type"/>
2077       <m:mo>.</m:mo>
2078       <xsl:apply-templates select="*[position()=2]"/>
2079      </xsl:otherwise>
2080      </xsl:choose>
2081     </m:mrow>
2082 </xsl:template>
2083
2084
2085 <!--**********************-->
2086 <!--       COUNTING       -->
2087 <!--**********************-->
2088
2089 <xsl:template match="m:cn|m:and|m:or|m:not|m:exists|m:eq|m:lt|m:leq|m:gt|m:geq
2090  |m:in|m:notin|m:intersect|m:union|m:subset|m:prsubset|m:card|m:setdiff
2091  |m:plus|m:minus|m:times" mode="charcount">
2092 <xsl:param name="incurrent_length" select="0"/>
2093     <xsl:choose>
2094     <xsl:when test="$framewidth > ($incurrent_length + 3 + string-length())">
2095      <xsl:variable name="siblength">
2096       <xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount">
2097        <xsl:with-param name="incurrent_length" select="$incurrent_length + string-length()"/>
2098       </xsl:apply-templates>
2099      </xsl:variable>
2100      <xsl:choose>
2101      <xsl:when test="string($siblength) = &quot;&quot;">
2102       <xsl:value-of select="$incurrent_length + 3 + string-length()"/>
2103      </xsl:when>
2104      <xsl:otherwise>
2105       <xsl:value-of select="number($siblength)"/>
2106      </xsl:otherwise>
2107      </xsl:choose>
2108     </xsl:when>
2109     <xsl:otherwise>
2110      <xsl:value-of select="$incurrent_length + 3 + string-length()"/>
2111     </xsl:otherwise>
2112     </xsl:choose>
2113 </xsl:template>
2114
2115 <xsl:template match="m:ci|m:csymbol" mode="charcount">
2116 <xsl:param name="incurrent_length" select="0"/>
2117 <xsl:param name="nosibling" select="0"/>
2118     <xsl:choose>
2119     <xsl:when test="$framewidth > ($incurrent_length + string-length()) and ($nosibling = 0)">
2120      <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length + string-length()"/></xsl:apply-templates></xsl:variable>
2121      <xsl:choose>
2122      <xsl:when test="string($siblength) = &quot;&quot;">
2123       <xsl:value-of select="$incurrent_length + string-length()"/>
2124      </xsl:when>
2125      <xsl:otherwise>
2126       <xsl:value-of select="number($siblength)"/>
2127      </xsl:otherwise>
2128      </xsl:choose>
2129     </xsl:when>
2130     <xsl:otherwise>
2131      <xsl:value-of select="$incurrent_length + string-length()"/>
2132     </xsl:otherwise>
2133     </xsl:choose>
2134 </xsl:template>
2135
2136 <xsl:template match="*" mode="charcount">
2137 <xsl:param name="incurrent_length" select="0"/>
2138 <xsl:param name="nosibling" select="0"/>
2139  <xsl:choose>
2140   <xsl:when test="count(child::*) = 0">
2141    <!-- tremendous bug fixed. An empty element can still have siblings!!! -->
2142    <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length"/></xsl:apply-templates></xsl:variable>
2143    <xsl:choose>
2144     <xsl:when test="string($siblength) = &quot;&quot;">
2145      <xsl:value-of select="$incurrent_length"/>
2146     </xsl:when>
2147     <xsl:otherwise>
2148       <xsl:value-of select="number($siblength)"/>
2149     </xsl:otherwise>
2150    </xsl:choose>
2151   </xsl:when>
2152   <xsl:otherwise>
2153     <xsl:variable name="childlength"><xsl:apply-templates select="*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length"/><xsl:with-param name="nosibling" select="0"/></xsl:apply-templates></xsl:variable>
2154     <xsl:choose>
2155     <xsl:when test="$framewidth > number($childlength) and ($nosibling = 0)">
2156      <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$childlength"/></xsl:apply-templates></xsl:variable>
2157      <xsl:choose>
2158      <xsl:when test="string($siblength) = &quot;&quot;">
2159       <xsl:value-of select="number($childlength)"/>
2160      </xsl:when>
2161      <xsl:otherwise>
2162       <xsl:value-of select="number($siblength)"/>
2163      </xsl:otherwise>
2164      </xsl:choose>
2165     </xsl:when>
2166     <xsl:otherwise>
2167      <xsl:value-of select="number($childlength)"/>
2168     </xsl:otherwise>
2169     </xsl:choose>
2170   </xsl:otherwise>
2171  </xsl:choose>
2172 </xsl:template>
2173
2174 </xsl:stylesheet>
2175