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>
 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>
 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>
 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>
 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="{$rowlines}">
 424       <xsl:for-each select="Decl|Def">
 425        <m:mtr>
 426         <m:mtd>
 427          <m:mrow>
 428           <m:mi><xsl:value-of select="@name"/></m:mi>
 429           <xsl:choose>
 430            <xsl:when test="name(.) = 'Decl'">
 431             <m:mo>:</m:mo>
 432            </xsl:when>
 433            <xsl:otherwise>
 434             <m:mo>:=</m:mo>
 435            </xsl:otherwise>
 436           </xsl:choose>
 437           <xsl:apply-templates select="*[1]"/>
 438          </m:mrow>
 439         </m:mtd>
 440        </m:mtr>
 441       </xsl:for-each>
 442       <xsl:if test="not(Decl|Def)">
 443       <m:mtr>
 444        <m:mtd>
 445         <m:mrow>
 446          <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 447         </m:mrow>
 448        </m:mtd>
 449       </m:mtr>
 450       </xsl:if>
 451       <m:mtr>
 452        <m:mtd>
 453         <m:mrow>
 454          <xsl:apply-templates select="Goal/*[1]"/>
 455         </m:mrow>
 456        </m:mtd>
 457       </m:mtr>
 458      </m:mtable>
 459     </m:math>
 460 </xsl:template>
 461
 462 <!--**********************-->
 463 <!--        TERMS         -->
 464 <!--**********************-->
 465
 466 <xsl:template match="m:bvar">
 467  <xsl:choose>
 468   <xsl:when test="m:type">
 469    <xsl:variable name="charlength">
 470     <xsl:apply-templates select="m:ci" mode="charcount"/>
 471    </xsl:variable>
 472    <xsl:choose>
 473     <xsl:when test="$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 >= $framewidth">
 845          <m:mtr>
 846           <m:mtd>
 847            <m:mrow>
 848             <m:mo>&gt;</m:mo>
 849             <m:mo>CASES</m:mo>
 850             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 851             <xsl:apply-templates select="*[position()=3]"/>
 852            </m:mrow>
 853           </m:mtd>
 854          </m:mtr>
 855          </xsl:if>
 856          <m:mtr>
 857           <m:mtd>
 858            <m:mrow>
 859             <m:mo>OF</m:mo>
 860            </m:mrow>
 861           </m:mtd>
 862          </m:mtr>
 863          <xsl:for-each select="piecewise/piece">
 864          <xsl:variable name="charlength"><xsl:apply-templates select="./*[2]" mode="charcount"><xsl:with-param name="nosibling" select="1"/></xsl:apply-templates></xsl:variable>
 865          <m:mtr>
 866           <m:mtd>
 867            <m:mrow>
 868             <xsl:choose>
 869             <xsl:when test="position() = 1">
 870               <m:mphantom><m:mtext>|</m:mtext></m:mphantom>
 871             </xsl:when>
 872             <xsl:otherwise>
 873              <m:mo stretchy="false">|</m:mo>
 874             </xsl:otherwise>
 875             </xsl:choose>
 876             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 877             <xsl:apply-templates select="./*[2]"/>
 878             <xsl:if test="$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 >= $framewidth">
 886          <m:mtr>
 887           <m:mtd>
 888            <m:mrow>
 889             <m:mphantom><m:mtext>|_</m:mtext></m:mphantom>
 890             <m:mo mathcolor="Green">&#x21d2;</m:mo>
 891             <xsl:apply-templates select="./*[1]"/>
 892            </m:mrow>
 893           </m:mtd>
 894          </m:mtr>
 895          </xsl:if>
 896         </xsl:for-each>
 897          <m:mtr>
 898           <m:mtd>
 899            <m:mrow>
 900             <m:mo>END</m:mo>
 901            </m:mrow>
 902           </m:mtd>
 903          </m:mtr>
 904         </m:mtable>
 905        </xsl:when>
 906        <xsl:otherwise>
 907         <m:mo>&lt;</m:mo><xsl:apply-templates select="*[position()=2]"/><m:mo>&gt;</m:mo>
 908         <m:mo>CASES</m:mo>
 909         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 910         <xsl:apply-templates select="*[position()=3]"/>
 911         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 912         <m:mo>OF</m:mo>
 913         <xsl:for-each select="piecewise/piece">
 914          <xsl:choose>
 915          <xsl:when test="position() != 1">
 916           <m:mo stretchy="false">|</m:mo>
 917          </xsl:when>
 918          </xsl:choose>
 919          <xsl:apply-templates select="./*[2]"/>
 920          <m:mo mathcolor="Green">&#x21d2;</m:mo>
 921          <xsl:apply-templates select="./*[1]"/>
 922         </xsl:for-each>
 923         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 924         <m:mo>END</m:mo>
 925        </xsl:otherwise>
 926        </xsl:choose>
 927       </xsl:when>
 928       <!-- FIX -->
 929       <xsl:when test="$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="$test">
1120           <!-- Details hided (default) -->
1121           <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1122            <m:mtr>
1123             <m:mtd>
1124              <m:mrow>
1125               <m:mtext mathcolor="Red">We&#x00a0;can&#x00a0;prove</m:mtext>
1126               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1127               <xsl:apply-templates select="*[position()=3]"/>
1128               <m:mrow>
1129                <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1130                <m:mtext mathcolor="Green">(explain)</m:mtext>
1131               </m:mrow>
1132              </m:mrow>
1133             </m:mtd>
1134            </m:mtr>
1135           </m:mtable>
1136          </xsl:if>
1137         </xsl:variable>
1138         <xsl:variable name="shown_details">
1139          <!-- Show details -->
1140          <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1141           <m:mtr>
1142            <m:mtd>
1143             <m:mrow>
1144              <xsl:apply-templates select="*[position()=2]"/>
1145             </m:mrow>
1146            </m:mtd>
1147           </m:mtr>
1148           <m:mtr>
1149            <m:mtd>
1150             <m:mrow>
1151              <m:mtext mathcolor="Red">we&#x00a0;proved</m:mtext>
1152              <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1153              <xsl:apply-templates select="*[position()=3]"/>
1154              <m:mrow>
1155               <m:mphantom>
1156                <m:mtext>_</m:mtext>
1157               </m:mphantom>
1158               <xsl:if test="$test">
1159                <m:mtext mathcolor="Green">(hide&#x00a0;details)</m:mtext>
1160               </xsl:if>
1161              </m:mrow>
1162             </m:mrow>
1163            </m:mtd>
1164           </m:mtr>
1165          </m:mtable>
1166         </xsl:variable>
1167         <xsl:choose>
1168          <xsl:when test="$test">
1169           <m:maction actiontype="toggle">
1170            <xsl:copy-of select="$hidden_details"/>
1171            <xsl:copy-of select="$shown_details"/>
1172           </m:maction>
1173          </xsl:when>
1174          <xsl:otherwise>
1175           <xsl:copy-of select="$shown_details"/>
1176          </xsl:otherwise>
1177         </xsl:choose>
1178       </xsl:when>
1179       <!-- SIDE_PROOF -->
1180       <xsl:when test="$name='side_proof'">
1181         <xsl:variable name="test" select="(not($explodeall))"/>
1182         <xsl:variable name="hidden_details">
1183          <xsl:if test="$test">
1184           <!-- Details hided (default) -->
1185           <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1186            <m:mtr>
1187             <m:mtd>
1188              <m:mrow>
1189               <m:mtext mathcolor="Red">We&#x00a0;can&#x00a0;prove</m:mtext>
1190               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1191               <xsl:apply-templates select="*[position()=3]"/>
1192               <m:mrow>
1193                <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1194                <m:mtext mathcolor="Green">(explain)</m:mtext>
1195               </m:mrow>
1196              </m:mrow>
1197             </m:mtd>
1198            </m:mtr>
1199           </m:mtable>
1200          </xsl:if>
1201         </xsl:variable>
1202         <xsl:variable name="shown_details">
1203          <!-- Show details -->
1204          <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1205           <m:mtr>
1206            <m:mtd>
1207             <m:mrow>
1208              <xsl:apply-templates select="*[position()=2]"/>
1209             </m:mrow>
1210            </m:mtd>
1211           </m:mtr>
1212           <m:mtr>
1213            <m:mtd>
1214             <m:mrow>
1215              <m:mtext mathcolor="Red">we&#x00a0;proved</m:mtext>
1216              <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1217              <xsl:apply-templates select="*[position()=3]"/>
1218              <m:mrow>
1219               <m:mphantom>
1220                <m:mtext>_</m:mtext>
1221               </m:mphantom>
1222               <xsl:if test="$test">
1223                <m:mtext mathcolor="Green">(hide&#x00a0;details)</m:mtext>
1224               </xsl:if>
1225              </m:mrow>
1226             </m:mrow>
1227            </m:mtd>
1228           </m:mtr>
1229          </m:mtable>
1230         </xsl:variable>
1231         <xsl:choose>
1232          <xsl:when test="$test">
1233           <m:maction actiontype="toggle">
1234            <xsl:copy-of select="$hidden_details"/>
1235            <xsl:copy-of select="$shown_details"/>
1236           </m:maction>
1237          </xsl:when>
1238          <xsl:otherwise>
1239           <xsl:copy-of select="$shown_details"/>
1240          </xsl:otherwise>
1241         </xsl:choose>
1242       </xsl:when>
1243       <!-- LETIN1 -->
1244       <xsl:when test="$name='letin1'">
1245         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1246          <m:mtr>
1247           <m:mtd>
1248            <m:mrow>
1249             <xsl:apply-templates select="*[position()=2]"/>
1250            </m:mrow>
1251           </m:mtd>
1252          </m:mtr>
1253          <m:mtr>
1254           <m:mtd>
1255            <m:mrow>
1256             <xsl:apply-templates select="*[position()=3]"/>
1257            </m:mrow>
1258           </m:mtd>
1259          </m:mtr>
1260         </m:mtable>
1261       </xsl:when>
1262       <xsl:when test="$name='by_induction'">
1263        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1264         <m:mtr>
1265          <m:mtd>
1266           <m:mrow>
1267            <m:mtext mathcolor="Red">We&#x00a0;prove</m:mtext>
1268            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1269            <xsl:apply-templates select="../*[3]"/>
1270           </m:mrow>
1271          </m:mtd>
1272         </m:mtr>
1273         <m:mtr>
1274          <m:mtd>
1275           <m:mrow>
1276            <m:mtext mathcolor="Red">by&#x00a0;induction&#x00a0;on</m:mtext>
1277            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1278            <xsl:apply-templates
1279             select="*[position()=last()]/*[position()=last()]"/>
1280           </m:mrow>
1281          </m:mtd>
1282         </m:mtr>
1283         <m:mtr>
1284          <m:mtd>
1285           <m:mrow>
1286            <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1287             <xsl:for-each select="*[position()>3 and not(position()=last())]">
1288              <m:mtr>
1289               <m:mtd>
1290                <m:mrow>
1291                 <xsl:apply-templates select="."/>
1292                </m:mrow>
1293               </m:mtd>
1294              </m:mtr>
1295             </xsl:for-each>
1296            </m:mtable>
1297           </m:mrow>
1298          </m:mtd>
1299         </m:mtr>
1300        </m:mtable>
1301       </xsl:when>
1302       <!-- inductive_case -->
1303       <xsl:when test="$name='inductive_case'">
1304        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1305         <m:mtr>
1306          <m:mtd>
1307           <m:mrow>
1308            <m:mtext mathcolor="Red">Case</m:mtext>
1309            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1310            <xsl:apply-templates select="*[2]"/>
1311           </m:mrow>
1312          </m:mtd>
1313         </m:mtr>
1314         <m:mtr>
1315          <m:mtd>
1316           <m:mrow>
1317            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1318            <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1319             <xsl:if test="*[3]/*[position()>1]">
1320              <m:mtr>
1321               <m:mtd>
1322                <m:mrow>
1323                 <m:mtext mathcolor="Red">By&#x00a0;induction&#x00a0;hypothesis,&#x00a0;we&#x00a0;have:</m:mtext>
1324                </m:mrow>
1325               </m:mtd>
1326              </m:mtr>
1327              <m:mtr>
1328               <m:mtd>
1329                <m:mrow>
1330                 <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1331                 <xsl:for-each select="*[3]/*[position()>1]">
1332                  <m:mo stretchy="false">(</m:mo>
1333                  <xsl:apply-templates select="m:ci"/>
1334                  <m:mo stretchy="false">) </m:mo>
1335                  <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1336                  <xsl:apply-templates select="m:type"/>
1337                 </xsl:for-each>
1338                </m:mrow>
1339               </m:mtd>
1340              </m:mtr>
1341             </xsl:if>
1342             <m:mtr>
1343              <m:mtd>
1344               <m:mrow>
1345                <xsl:apply-templates select="*[4]"/>
1346               </m:mrow>
1347              </m:mtd>
1348             </m:mtr>
1349            </m:mtable>
1350           </m:mrow>
1351          </m:mtd>
1352         </m:mtr>
1353        </m:mtable>
1354       </xsl:when>
1355       <!-- case_lhs  -->
1356       <xsl:when test="$name='case_lhs'">
1357        <m:mrow>
1358         <xsl:choose>
1359          <xsl:when test="count(*)=2">
1360           <xsl:apply-templates select="*[2]"/>
1361          </xsl:when>
1362          <xsl:otherwise>
1363           <m:mo stretchy="false">(</m:mo>
1364           <xsl:apply-templates select="*[2]"/>
1365           <xsl:for-each select="m:bvar">
1366            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1367            <xsl:apply-templates select="*[1]"/>
1368            <m:mtext>:</m:mtext>
1369            <xsl:apply-templates select="m:type/*[1]"/>
1370           </xsl:for-each>
1371           <m:mo stretchy="false">)</m:mo>
1372          </xsl:otherwise>
1373         </xsl:choose>
1374        </m:mrow>
1375       </xsl:when>
1376       <!-- false_ind  -->
1377       <xsl:when test="$name='false_ind'">
1378        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1379         <m:mtr>
1380          <m:mtd>
1381           <m:mrow>
1382            <xsl:apply-templates select="*[3]"/>
1383           </m:mrow>
1384          </m:mtd>
1385         </m:mtr>
1386         <m:mtr>
1387          <m:mtd>
1388           <m:mrow>
1389            <m:mtext mathcolor="Red">Contradiction.</m:mtext>
1390           </m:mrow>
1391          </m:mtd>
1392         </m:mtr>
1393        </m:mtable>
1394       </xsl:when>
1395       <!-- LET-IN -->
1396       <xsl:when test="$name='letin'">
1397         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1398          <!-- <xsl:for-each select="APPLY[m:csymbol and (string(m:csymbol)='let')]"> -->
1399          <xsl:for-each select="*[(last() > position()) and (position()>1)]">
1400          <m:mtr>
1401           <m:mtd>
1402            <m:mrow>
1403             <xsl:apply-templates select="."/>
1404            </m:mrow>
1405           </m:mtd>
1406          </m:mtr>
1407          </xsl:for-each>
1408          <m:mtr>
1409           <m:mtd>
1410            <m:mrow>
1411             <xsl:apply-templates select="*[position()=last()]"/>
1412            </m:mrow>
1413           </m:mtd>
1414          </m:mtr>
1415         </m:mtable>
1416       </xsl:when>
1417       <!-- LET -->
1418       <xsl:when test="$name='let'">
1419        <m:mtext>(</m:mtext>
1420        <xsl:apply-templates select="m:ci"/>
1421        <m:mtext>) </m:mtext>
1422        <xsl:apply-templates select="*[3]"/>
1423       </xsl:when>
1424       <!-- RW_STEP -->
1425       <xsl:when test="$name='rw_step'">
1426         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1427          <m:mtr>
1428           <m:mtd>
1429            <m:mrow>
1430             <xsl:choose>
1431              <xsl:when test="name(*[2])='m:apply'">
1432               <xsl:apply-templates select="*[2]"/>
1433              </xsl:when>
1434              <xsl:otherwise>
1435               <m:mtext>Consider</m:mtext>
1436               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1437               <xsl:apply-templates select="*[2]"/>
1438              </xsl:otherwise>
1439             </xsl:choose>
1440            </m:mrow>
1441           </m:mtd>
1442          </m:mtr>
1443          <m:mtr>
1444           <m:mtd>
1445            <m:mrow>
1446             <m:mtext>Rewrite</m:mtext>
1447             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1448             <xsl:apply-templates select="*[3]"/>
1449             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1450             <m:mtext>with</m:mtext>
1451             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1452             <xsl:apply-templates select="*[4]"/>
1453             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1454             <m:mtext>by</m:mtext>
1455             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1456             <xsl:apply-templates select="*[5]"/>
1457            </m:mrow>
1458           </m:mtd>
1459          </m:mtr>
1460         </m:mtable>
1461       </xsl:when>
1462       <!-- not existing any more
1463       <xsl:when test="$name='thread'">
1464         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1465          <m:mtr>
1466           <m:mtd>
1467            <m:mrow>
1468             <xsl:choose>
1469              <xsl:when test="name(*[last()])='m:apply'">
1470               <xsl:apply-templates select="*[last()]"/>
1471              </xsl:when>
1472              <xsl:otherwise>
1473               <m:mtext>Consider</m:mtext>
1474               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1475               <xsl:apply-templates select="*[last()]"/>
1476              </xsl:otherwise>
1477             </xsl:choose>
1478            </m:mrow>
1479           </m:mtd>
1480          </m:mtr>
1481          <xsl:apply-templates mode="thread" select="*[(last()-2)]"/>
1482         </m:mtable>
1483       </xsl:when>
1484       -->
1485       <!-- REWRITE_AND_APPLY -->
1486       <xsl:when test="$name='rewrite_and_apply'">
1487         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1488          <m:mtr>
1489           <m:mtd>
1490            <m:mrow>
1491             <xsl:apply-templates select="*[2]"/>
1492            </m:mrow>
1493           </m:mtd>
1494          </m:mtr>
1495          <m:mtr>
1496           <m:mtd>
1497            <m:mrow>
1498             <m:mtext>Then&#x00a0;apply&#x00a0;it&#x00a0;to</m:mtext>
1499             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1500             <xsl:apply-templates select="*[position()>2]"/>
1501            </m:mrow>
1502           </m:mtd>
1503          </m:mtr>
1504        </m:mtable>
1505       </xsl:when>
1506       <!-- AND_IND -->
1507       <xsl:when test="$name='and_ind'">
1508         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1509          <m:mtr>
1510           <m:mtd>
1511            <m:mrow>
1512             <xsl:choose>
1513              <xsl:when test="name(*[2])='m:apply'">
1514               <xsl:apply-templates select="*[2]"/>
1515              </xsl:when>
1516              <xsl:otherwise>
1517               <m:mtext>Consider</m:mtext>
1518               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1519               <xsl:apply-templates select="*[2]"/>
1520              </xsl:otherwise>
1521             </xsl:choose>
1522            </m:mrow>
1523           </m:mtd>
1524          </m:mtr>
1525          <m:mtr>
1526           <m:mtd>
1527            <m:mrow>
1528             <m:mtext>In&#x00a0;particular,&#x00a0;we&#x00a0;have</m:mtext>
1529            </m:mrow>
1530           </m:mtd>
1531          </m:mtr>
1532          <m:mtr>
1533           <m:mtd>
1534            <m:mrow>
1535             <m:mtext>(</m:mtext>
1536             <xsl:apply-templates select="*[3]"/>
1537             <m:mtext>)</m:mtext>
1538             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1539             <xsl:apply-templates select="*[4]"/>
1540             </m:mrow>
1541           </m:mtd>
1542          </m:mtr>
1543          <m:mtr>
1544           <m:mtd>
1545            <m:mrow>
1546             <m:mtext>(</m:mtext>
1547             <xsl:apply-templates select="*[5]"/>
1548             <m:mtext>)</m:mtext>
1549             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1550             <xsl:apply-templates select="*[6]"/>
1551             </m:mrow>
1552           </m:mtd>
1553          </m:mtr>
1554          <m:mtr>
1555           <m:mtd>
1556            <m:mrow>
1557             <xsl:apply-templates select="*[7]"/>
1558            </m:mrow>
1559           </m:mtd>
1560          </m:mtr>
1561         </m:mtable>
1562       </xsl:when>
1563       <!-- full_or_ind -->
1564       <xsl:when test="$name='full_or_ind'">
1565         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1566          <m:mtr>
1567           <m:mtd>
1568            <m:mrow>
1569             <xsl:choose>
1570              <xsl:when test="name(*[2])='m:apply'">
1571               <xsl:apply-templates select="*[2]"/>
1572              </xsl:when>
1573              <xsl:otherwise>
1574               <m:mtext>Consider</m:mtext>
1575               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1576               <xsl:apply-templates select="*[2]"/>
1577              </xsl:otherwise>
1578             </xsl:choose>
1579            </m:mrow>
1580           </m:mtd>
1581          </m:mtr>
1582          <m:mtr>
1583           <m:mtd>
1584            <m:mrow>
1585             <m:mtext>We&#x00a0;proceed&#x00a0;by&#x00a0;cases&#x00a0;to&#x00a0;prove</m:mtext>
1586             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1587             <xsl:apply-templates select="*[3]"/>
1588            </m:mrow>
1589           </m:mtd>
1590          </m:mtr>
1591          <m:mtr>
1592           <m:mtd>
1593            <m:mrow>
1594             <m:mtext>Left:&#x00a0;suppose</m:mtext>
1595             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1596             <m:mo stretchy="false">(</m:mo>
1597             <xsl:apply-templates select="*[4]/m:bvar/m:ci"/>
1598             <m:mo stretchy="false">)</m:mo>
1599             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1600             <xsl:apply-templates select="*[4]/m:bvar/m:type/*[1]"/>
1601            </m:mrow>
1602           </m:mtd>
1603          </m:mtr>
1604          <m:mtr>
1605           <m:mtd>
1606            <m:mrow>
1607             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1608             <xsl:apply-templates select="*[4]/*[3]"/>
1609            </m:mrow>
1610           </m:mtd>
1611          </m:mtr>
1612          <m:mtr>
1613           <m:mtd>
1614            <m:mrow>
1615             <m:mtext>Right:&#x00a0;suppose</m:mtext>
1616             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1617             <m:mo stretchy="false">(</m:mo>
1618             <xsl:apply-templates select="*[5]/m:bvar/m:ci"/>
1619             <m:mo stretchy="false">)</m:mo>
1620             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1621             <xsl:apply-templates select="*[5]/m:bvar/m:type/*[1]"/>
1622            </m:mrow>
1623           </m:mtd>
1624          </m:mtr>
1625          <m:mtr>
1626           <m:mtd>
1627            <m:mrow>
1628             <xsl:apply-templates select="*[5]/*[3]"/>
1629            </m:mrow>
1630           </m:mtd>
1631          </m:mtr>
1632         </m:mtable>
1633       </xsl:when>
1634       <!-- OR_IND -->
1635       <xsl:when test="$name='or_ind'">
1636         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1637          <m:mtr>
1638           <m:mtd>
1639            <m:mrow>
1640             <xsl:choose>
1641              <xsl:when test="name(*[2])='m:apply'">
1642               <xsl:apply-templates select="*[2]"/>
1643              </xsl:when>
1644              <xsl:otherwise>
1645               <m:mtext>Consider</m:mtext>
1646               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1647               <xsl:apply-templates select="*[2]"/>
1648              </xsl:otherwise>
1649             </xsl:choose>
1650            </m:mrow>
1651           </m:mtd>
1652          </m:mtr>
1653          <m:mtr>
1654           <m:mtd>
1655            <m:mrow>
1656             <m:mtext>We&#x00a0;prove</m:mtext>
1657             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1658             <xsl:apply-templates select="*[3]"/>
1659             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1660             <m:mtext>by&#x00a0;cases:</m:mtext>
1661            </m:mrow>
1662           </m:mtd>
1663          </m:mtr>
1664          <m:mtr>
1665           <m:mtd>
1666            <m:mrow>
1667             <m:mtext>Left</m:mtext>
1668             <xsl:apply-templates select="*[4]"/>
1669            </m:mrow>
1670           </m:mtd>
1671          </m:mtr>
1672          <m:mtr>
1673           <m:mtd>
1674            <m:mrow>
1675             <m:mtext>Right</m:mtext>
1676             <xsl:apply-templates select="*[5]"/>
1677            </m:mrow>
1678           </m:mtd>
1679          </m:mtr>
1680         </m:mtable>
1681       </xsl:when>
1682       <!-- EX_IND -->
1683       <xsl:when test="$name='ex_ind'">
1684         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1685          <m:mtr>
1686           <m:mtd>
1687            <m:mrow>
1688             <xsl:choose>
1689              <xsl:when test="name(*[2])='m:apply'">
1690               <xsl:apply-templates select="*[2]"/>
1691              </xsl:when>
1692              <xsl:otherwise>
1693               <m:mtext>Consider</m:mtext>
1694               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1695               <xsl:apply-templates select="*[2]"/>
1696              </xsl:otherwise>
1697             </xsl:choose>
1698            </m:mrow>
1699           </m:mtd>
1700          </m:mtr>
1701          <m:mtr>
1702           <m:mtd>
1703            <m:mrow>
1704             <m:mtext>Let</m:mtext>
1705             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1706             <xsl:apply-templates select="*[3]"/>
1707             <m:mtext>:</m:mtext>
1708             <xsl:apply-templates select="*[4]"/>
1709             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1710             <m:mtext>such&#x00a0;that</m:mtext>
1711             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1712             <m:mtext>(</m:mtext>
1713              <xsl:apply-templates select="*[5]"/>
1714             <m:mtext>)</m:mtext>
1715             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1716             <xsl:apply-templates select="*[6]"/>
1717            </m:mrow>
1718           </m:mtd>
1719          </m:mtr>
1720          <m:mtr>
1721           <m:mtd>
1722            <m:mrow>
1723             <xsl:apply-templates select="*[7]"/>
1724            </m:mrow>
1725           </m:mtd>
1726          </m:mtr>
1727         </m:mtable>
1728       </xsl:when>
1729       <!-- EQ_CHAIN -->
1730       <xsl:when test="$name='eq_chain'">
1731        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1732         <m:mtr>
1733          <m:mtd>
1734           <m:mrow>
1735            <m:mtext mathcolor="Red">We&#x00a0;have&#x00a0;the&#x00a0;following&#x00a0;equality&#x00a0;chain:</m:mtext>
1736           </m:mrow>
1737          </m:mtd>
1738         </m:mtr>
1739         <xsl:for-each select="*[position() mod 2 = 0]">
1740         <xsl:variable name="pos" select="position()"/>
1741         <m:mtr>
1742          <m:mtd>
1743           <m:mrow>
1744            <xsl:choose>
1745            <xsl:when test="$pos = 1">
1746             <xsl:apply-templates select="."/>
1747             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1748             <m:mo>=</m:mo>
1749            </xsl:when>
1750            <xsl:otherwise>
1751             <m:mo>=</m:mo>
1752             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1753             <xsl:apply-templates select="."/>
1754            </xsl:otherwise>
1755            </xsl:choose>
1756           </m:mrow>
1757          </m:mtd>
1758         </m:mtr>
1759         <xsl:if test="$pos != last()">
1760         <m:mtr>
1761          <m:mtd>
1762           <m:mrow>
1763            <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
1764            <xsl:apply-templates select="../*[position()=2*$pos +1]"/>
1765           </m:mrow>
1766          </m:mtd>
1767         </m:mtr>
1768         </xsl:if>
1769         </xsl:for-each>
1770        </m:mtable>
1771       </xsl:when>
1772       <!-- DISEQ_CHAIN -->
1773       <xsl:when test="$name='diseq_chain'">
1774        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1775         <m:mtr>
1776          <m:mtd>
1777           <m:mrow>
1778            <m:mtext mathcolor="Red">We&#x00a0;have&#x00a0;the&#x00a0;following&#x00a0;disequality&#x00a0;chain:</m:mtext>
1779           </m:mrow>
1780          </m:mtd>
1781         </m:mtr>
1782         <xsl:for-each select="*[position() mod 3 = 2]">
1783         <xsl:variable name="pos" select="position()"/>
1784         <m:mtr>
1785          <m:mtd>
1786           <m:mrow>
1787            <xsl:choose>
1788            <xsl:when test="$pos = 1">
1789             <xsl:apply-templates select="."/>
1790             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1791             <mo><xsl:apply-templates select="../*[position()=3*$pos]"/></mo>
1792            </xsl:when>
1793            <xsl:otherwise>
1794             <mo><xsl:apply-templates select="../*[position()=3*($pos - 1)]"/></mo>
1795             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1796             <xsl:apply-templates select="."/>
1797            </xsl:otherwise>
1798            </xsl:choose>
1799           </m:mrow>
1800          </m:mtd>
1801         </m:mtr>
1802         <xsl:if test="$pos != last()">
1803         <m:mtr>
1804          <m:mtd>
1805           <m:mrow>
1806            <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
1807            <xsl:apply-templates select="../*[position()=3*$pos +1]"/>
1808           </m:mrow>
1809          </m:mtd>
1810         </m:mtr>
1811         </xsl:if>
1812         </xsl:for-each>
1813        </m:mtable>
1814       </xsl:when>
1815       <!-- ***************************************** -->
1816       <!-- *********** NOTATIONS ******************* -->
1817       <!-- ***************************************** -->
1818       <!-- subst -->
1819       <xsl:when test="$name='subst'">
1820         <xsl:apply-templates select="*[3]"/>
1821 <!-- no font for ApplyFunction: <m:mo>&#xe8a0;</m:mo> -->
1822         <m:mo stretchy="false">[</m:mo>
1823         <xsl:apply-templates select="*[4]"/>
1824         <m:mo mathcolor="Green">
1825          <xsl:if test="$id != ''">
1826           <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1827          </xsl:if>&#8592;</m:mo>
1828         <xsl:apply-templates select="*[2]"/>
1829         <m:mo stretchy="false">]</m:mo>
1830       </xsl:when>
1831       <!-- lift -->
1832       <xsl:when test="$name='lift'">
1833         <m:msup>
1834          <m:mo mathcolor="Green">
1835           <xsl:if test="$id != ''">
1836            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1837           </xsl:if>&#8593;</m:mo>
1838          <xsl:apply-templates select="*[2]"/>
1839         </m:msup>
1840         <m:mrow>
1841          <m:mo stretchy="false">(</m:mo>
1842          <xsl:apply-templates select="*[3]"/>
1843          <m:mo stretchy="false">)</m:mo>
1844         </m:mrow>
1845       </xsl:when>
1846       <!-- lift_with_base -->
1847       <xsl:when test="$name='lift_with_base'">
1848         <m:msubsup>
1849          <m:mo mathcolor="Green">
1850           <xsl:if test="$id != ''">
1851            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1852           </xsl:if>&#8593;</m:mo>
1853          <xsl:apply-templates select="*[3]"/>
1854          <xsl:apply-templates select="*[4]"/>
1855         </m:msubsup>
1856         <m:mrow>
1857          <m:mo stretchy="false">(</m:mo>
1858          <xsl:apply-templates select="*[2]"/>
1859          <m:mo stretchy="false">)</m:mo>
1860         </m:mrow>
1861       </xsl:when>
1862       <!-- beta_red1 -->
1863       <xsl:when test="$name='beta_red1'">
1864         <xsl:apply-templates select="*[2]"/>
1865         <m:munder>
1866          <m:mo mathcolor="Green">
1867           <xsl:if test="$id != ''">
1868            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1869           </xsl:if>&#8594;</m:mo>
1870           <m:mi mathcolor="Green">&#946;</m:mi>
1871         </m:munder>
1872         <xsl:apply-templates select="*[3]"/>
1873       </xsl:when>
1874       <!-- beta_red -->
1875       <xsl:when test="$name='beta_red'">
1876         <xsl:apply-templates select="*[2]"/>
1877         <m:munderover>
1878          <m:mo mathcolor="Green">
1879           <xsl:if test="$id != ''">
1880            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1881           </xsl:if>&#8594;</m:mo>
1882           <m:mi mathcolor="Green">&#946;</m:mi>
1883           <m:mi mathcolor="Green">*</m:mi>
1884         </m:munderover>
1885         <xsl:apply-templates select="*[3]"/>
1886       </xsl:when>
1887       <!-- par_beta_red1 -->
1888       <xsl:when test="$name='par_beta_red1'">
1889         <xsl:apply-templates select="*[2]"/>
1890         <m:munder>
1891          <m:mo mathcolor="Green">
1892           <xsl:if test="$id != ''">
1893            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1894           </xsl:if>&#8658;</m:mo>
1895           <m:mi mathcolor="Green">&#946;</m:mi>
1896         </m:munder>
1897         <xsl:apply-templates select="*[3]"/>
1898       </xsl:when>
1899       <!-- par_beta_red -->
1900       <xsl:when test="$name='par_beta_red'">
1901         <xsl:apply-templates select="*[2]"/>
1902         <m:munderover>
1903          <m:mo mathcolor="Green">
1904           <xsl:if test="$id != ''">
1905            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1906           </xsl:if>&#8658;</m:mo>
1907           <m:mi mathcolor="Green">&#946;</m:mi>
1908           <m:mi mathcolor="Green">*</m:mi>
1909         </m:munderover>
1910         <xsl:apply-templates select="*[3]"/>
1911       </xsl:when>
1912       <!-- forgetful -->
1913       <xsl:when test="$name='forgetful'">
1914        <m:mfenced open="|" close="|">
1915         <xsl:if test="$id != ''">
1916          <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1917         </xsl:if>
1918         <xsl:apply-templates select="*[2]"/>
1919        </m:mfenced>
1920       </xsl:when>
1921       <!-- isomorphic -->
1922       <xsl:when test="$name='isomorphic'">
1923         <xsl:apply-templates select="*[2]"/>
1924         <m:mo mathcolor="Green">
1925          <xsl:if test="$id != ''">
1926           <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1927          </xsl:if>&#8773;</m:mo>
1928         <xsl:apply-templates select="*[3]"/>
1929       </xsl:when>
1930       <!-- interp -->
1931       <xsl:when test="$name='forgetful'">
1932        <m:mfenced open="[" close="]">
1933         <xsl:if test="$id != ''">
1934          <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1935         </xsl:if>
1936         <xsl:apply-templates select="*[2]"/>
1937        </m:mfenced>
1938       </xsl:when>
1939
1940       <!-- ERROR -->
1941       <xsl:otherwise>
1942        <m:mi>ERROR</m:mi>
1943       </xsl:otherwise>
1944      </xsl:choose>
1945     </m:mrow>
1946 </xsl:template>
1947
1948 <!-- Il modo Thread non esiste piu'
1949 <xsl:template match="*" mode="thread">
1950  <xsl:variable name="name"><xsl:value-of select="following-sibling::*[position()=1]/m:csymbol"/></xsl:variable>
1951  <xsl:choose>
1952   <xsl:when test="$name='rw_step'">
1953          <m:mtr>
1954           <m:mtd>
1955            <m:mrow>
1956             <m:mtext>Rewrite</m:mtext>
1957             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1958             <xsl:apply-templates select="following-sibling::*[position()=1]/*[2]"/>
1959             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1960             <m:mtext>with</m:mtext>
1961             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1962             <xsl:apply-templates select="following-sibling::*[position()=1]/*[3]"/>
1963             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1964             <m:mtext>by</m:mtext>
1965             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1966             <xsl:apply-templates select="following-sibling::*[position()=1]/*[4]"/>
1967            </m:mrow>
1968           </m:mtd>
1969          </m:mtr>
1970          <m:mtr>
1971           <m:mtd>
1972            <m:mrow>
1973             <m:mtext mathcolor="Red">we&#x00a0;get</m:mtext>
1974             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1975             <xsl:apply-templates select="."/>
1976            </m:mrow>
1977           </m:mtd>
1978          </m:mtr>
1979    </xsl:when>
1980    <xsl:otherwise>
1981          <m:mtr>
1982           <m:mtd>
1983            <m:mrow>
1984             <xsl:apply-templates select="following-sibling::*[position()=1]"/>
1985            </m:mrow>
1986           </m:mtd>
1987          </m:mtr>
1988          <m:mtr>
1989           <m:mtd>
1990            <m:mrow>
1991             <m:mtext mathcolor="Red">we&#x00a0;get</m:mtext>
1992             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1993             <xsl:apply-templates select="."/>
1994            </m:mrow>
1995           </m:mtd>
1996          </m:mtr>
1997     </xsl:otherwise>
1998    </xsl:choose>
1999          <xsl:apply-templates mode="thread" select="preceding-sibling::*[position()=2]"/>
2000 </xsl:template>
2001 -->
2002
2003 <!-- LAMBDA -->
2004
2005 <xsl:template match="m:lambda">
2006     <xsl:variable name="charlength"><xsl:apply-templates select="*[position()=1]" mode="charcount"/></xsl:variable>
2007     <m:mrow>
2008      <xsl:if test="@id">
2009       <xsl:attribute name="xref">
2010        <xsl:value-of select="@id"/>
2011       </xsl:attribute>
2012      </xsl:if>
2013      <xsl:choose>
2014      <xsl:when test="$charlength >= $framewidth">
2015       <m:mtable align="baseline 1" equalrows="false" columnalign="left">
2016         <m:mtr>
2017           <m:mtd>
2018            <m:mrow>
2019             <m:mo mathcolor="Red">&#x03bb;</m:mo>
2020             <xsl:apply-templates select="m:bvar"/>
2021            </m:mrow>
2022           </m:mtd>
2023          </m:mtr>
2024        <m:mtr>
2025         <m:mtd>
2026          <m:mrow>
2027           <m:mo>.</m:mo>
2028           <xsl:apply-templates select="*[position()=2]"/>
2029          </m:mrow>
2030         </m:mtd>
2031        </m:mtr>
2032       </m:mtable>
2033      </xsl:when>
2034      <xsl:otherwise>
2035       <m:mo mathcolor="Red">&#x03bb;</m:mo>
2036       <xsl:apply-templates select="m:bvar/m:ci"/>
2037       <m:mo>:</m:mo>
2038       <xsl:apply-templates select="m:bvar/m:type"/>
2039       <m:mo>.</m:mo>
2040       <xsl:apply-templates select="*[position()=2]"/>
2041      </xsl:otherwise>
2042      </xsl:choose>
2043     </m:mrow>
2044 </xsl:template>
2045
2046
2047 <!--**********************-->
2048 <!--       COUNTING       -->
2049 <!--**********************-->
2050
2051 <xsl:template match="m:cn|m:and|m:or|m:not|m:exists|m:eq|m:lt|m:leq|m:gt|m:geq
2052  |m:in|m:notin|m:intersect|m:union|m:subset|m:prsubset|m:card|m:setdiff
2053  |m:plus|m:minus|m:times" mode="charcount">
2054 <xsl:param name="incurrent_length" select="0"/>
2055     <xsl:choose>
2056     <xsl:when test="$framewidth > ($incurrent_length + 3 + string-length())">
2057      <xsl:variable name="siblength">
2058       <xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount">
2059        <xsl:with-param name="incurrent_length" select="$incurrent_length + string-length()"/>
2060       </xsl:apply-templates>
2061      </xsl:variable>
2062      <xsl:choose>
2063      <xsl:when test="string($siblength) = &quot;&quot;">
2064       <xsl:value-of select="$incurrent_length + 3 + string-length()"/>
2065      </xsl:when>
2066      <xsl:otherwise>
2067       <xsl:value-of select="number($siblength)"/>
2068      </xsl:otherwise>
2069      </xsl:choose>
2070     </xsl:when>
2071     <xsl:otherwise>
2072      <xsl:value-of select="$incurrent_length + 3 + string-length()"/>
2073     </xsl:otherwise>
2074     </xsl:choose>
2075 </xsl:template>
2076
2077 <xsl:template match="m:ci|m:csymbol" mode="charcount">
2078 <xsl:param name="incurrent_length" select="0"/>
2079 <xsl:param name="nosibling" select="0"/>
2080     <xsl:choose>
2081     <xsl:when test="$framewidth > ($incurrent_length + string-length()) and ($nosibling = 0)">
2082      <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length + string-length()"/></xsl:apply-templates></xsl:variable>
2083      <xsl:choose>
2084      <xsl:when test="string($siblength) = &quot;&quot;">
2085       <xsl:value-of select="$incurrent_length + string-length()"/>
2086      </xsl:when>
2087      <xsl:otherwise>
2088       <xsl:value-of select="number($siblength)"/>
2089      </xsl:otherwise>
2090      </xsl:choose>
2091     </xsl:when>
2092     <xsl:otherwise>
2093      <xsl:value-of select="$incurrent_length + string-length()"/>
2094     </xsl:otherwise>
2095     </xsl:choose>
2096 </xsl:template>
2097
2098 <xsl:template match="*" mode="charcount">
2099 <xsl:param name="incurrent_length" select="0"/>
2100 <xsl:param name="nosibling" select="0"/>
2101  <xsl:choose>
2102   <xsl:when test="count(child::*) = 0">
2103    <xsl:value-of select="$incurrent_length"/>
2104   </xsl:when>
2105   <xsl:otherwise>
2106     <xsl:variable name="childlength"><xsl:apply-templates select="*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length"/><xsl:with-param name="nosibling" select="0"/></xsl:apply-templates></xsl:variable>
2107     <xsl:choose>
2108     <xsl:when test="$framewidth > number($childlength) and ($nosibling = 0)">
2109      <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$childlength"/></xsl:apply-templates></xsl:variable>
2110      <xsl:choose>
2111      <xsl:when test="string($siblength) = &quot;&quot;">
2112       <xsl:value-of select="number($childlength)"/>
2113      </xsl:when>
2114      <xsl:otherwise>
2115       <xsl:value-of select="number($siblength)"/>
2116      </xsl:otherwise>
2117      </xsl:choose>
2118     </xsl:when>
2119     <xsl:otherwise>
2120      <xsl:value-of select="number($childlength)"/>
2121     </xsl:otherwise>
2122     </xsl:choose>
2123   </xsl:otherwise>
2124  </xsl:choose>
2125 </xsl:template>
2126
2127 </xsl:stylesheet>
2128