helm/style/mmlextension.xsl

   1 <?xml version="1.0"?>
   2
   3 <!-- Copyright (C) 2000, HELM Team                                     -->
   4 <!--                                                                   -->
   5 <!-- This file is part of HELM, an Hypertextual, Electronic            -->
   6 <!-- Library of Mathematics, developed at the Computer Science         -->
   7 <!-- Department, University of Bologna, Italy.                         -->
   8 <!--                                                                   -->
   9 <!-- HELM is free software; you can redistribute it and/or             -->
  10 <!-- modify it under the terms of the GNU General Public License       -->
  11 <!-- as published by the Free Software Foundation; either version 2    -->
  12 <!-- of the License, or (at your option) any later version.            -->
  13 <!--                                                                   -->
  14 <!-- HELM is distributed in the hope that it will be useful,           -->
  15 <!-- but WITHOUT ANY WARRANTY; without even the implied warranty of    -->
  16 <!-- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the     -->
  17 <!-- GNU General Public License for more details.                      -->
  18 <!--                                                                   -->
  19 <!-- You should have received a copy of the GNU General Public License -->
  20 <!-- along with HELM; if not, write to the Free Software               -->
  21 <!-- Foundation, Inc., 59 Temple Place - Suite 330, Boston,            -->
  22 <!-- MA  02111-1307, USA.                                              -->
  23 <!--                                                                   -->
  24 <!-- For details, see the HELM World-Wide-Web page,                    -->
  25 <!-- http://cs.unibo.it/helm/.                                         -->
  26
  27 <!--***********************************************************************-->
  28 <!-- Extension to the XSLT version 0.07 of MathML content to presentation: -->
  29 <!-- First draft: February 19 2000, Andrea Asperti, Irene Schena           -->
  30 <!-- Revised: March 3 2000, Irene Schena                                   -->
  31 <!-- Revised: March 15 2000, Claudio Sacerdoti Coen, Irene Schena          -->
  32 <!-- Revised: March 21 2000, Irene Schena                                  -->
  33 <!--***********************************************************************-->
  34
  35 <!-- NOTE: the namespace declaration has to be done in the stylesheets
  36 which generates the toplevel element (see for instance xlink) -->
  37 <xsl:stylesheet version="1.0" xmlns:xsl="http://www.w3.org/1999/XSL/Transform"
  38                               xmlns:m="http://www.w3.org/1998/Math/MathML"
  39                               xmlns:helm="http://www.cs.unibo.it/helm"
  40                               xmlns:xlink="http://www.w3.org/1999/xlink">
  41
  42 <!-- OLD: <xsl:import href="mml2mmlv1_0.xsl"/> -->
  43
  44 <xsl:import href="mmlnotation.xsl"/>
  45
  46 <xsl:import href="mmltheoryextension.xsl"/>
  47
  48
  49 <xsl:param name="explodeall" select="false()"/>
  50
  51 <!--***********************************************************************-->
  52 <!-- Parameter affecting line-breaking                                     -->
  53 <!--***********************************************************************-->
  54
  55 <xsl:variable name="framewidth" select="35"/>
  56
  57 <!--***********************************************************************-->
  58 <!-- Gli oggetti sono stampati come mtext all'interno di una marca toplevel-->
  59 <!-- math ma al di fuori di semantics. Ora vi sono tanti semantics quanti  -->
  60 <!-- sono i termini: la presentation per un termine e' generata come primo -->
  61 <!-- figlio di un semantics e l'originario content viene inserito nel      -->
  62 <!-- nel secondo figlio di semantics, annotation-xml                       -->
  63 <!--***********************************************************************-->
  64
  65 <!--**********************-->
  66 <!--        OBJECTS       -->
  67 <!--**********************-->
  68
  69 <xsl:param name="type" select="'standalone'"/>
  70
  71 <xsl:template match="/">
  72  <xsl:choose>
  73   <xsl:when test="$type = 'standalone'">
  74    <xsl:apply-templates select="*"/>
  75   </xsl:when>
  76   <xsl:otherwise>
  77    <to_be_embedded>
  78     <xsl:apply-templates select="*"/>
  79    </to_be_embedded>
  80   </xsl:otherwise>
  81  </xsl:choose>
  82 </xsl:template>
  83
  84 <!-- DEFINITION -->
  85
  86 <xsl:template match="Definition">
  87     <m:math>
  88      <m:mtable align="baseline 1" equalrows="false" columnalign="left" helm:xref="{@helm:xref}">
  89       <m:mtr>
  90        <m:mtd>
  91         <m:mrow>
  92          <m:mtext>DEFINITION <xsl:value-of select="@name"/>(<xsl:if test="string(./Params) != &quot;&quot;"><xsl:value-of select="Params"/></xsl:if>) OF TYPE</m:mtext>
  93         </m:mrow>
  94        </m:mtd>
  95       </m:mtr>
  96       <m:mtr>
  97        <m:mtd>
  98         <m:mrow>
  99          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 100          <xsl:apply-templates select="type/*[1]"/>
 101         </m:mrow>
 102        </m:mtd>
 103       </m:mtr>
 104       <m:mtr>
 105        <m:mtd>
 106         <m:mrow>
 107          <m:mtext>AS</m:mtext>
 108         </m:mrow>
 109        </m:mtd>
 110       </m:mtr>
 111       <m:mtr>
 112        <m:mtd>
 113         <m:mrow>
 114          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 115          <xsl:apply-templates select="body/*[1]"/>
 116         </m:mrow>
 117        </m:mtd>
 118       </m:mtr>
 119      </m:mtable>
 120     </m:math>
 121 </xsl:template>
 122
 123 <!-- AXIOM -->
 124
 125 <xsl:template match="Axiom">
 126     <m:math>
 127      <m:mtable align="baseline 1" equalrows="false" columnalign="left" helm:xref="{@helm:xref}">
 128       <m:mtr>
 129        <m:mtd>
 130         <m:mrow>
 131          <m:mtext>AXIOM <xsl:value-of select="@name"/>(<xsl:if test="string(./Params) != &quot;&quot;"><xsl:value-of select="Params"/></xsl:if>) OF TYPE</m:mtext>
 132         </m:mrow>
 133        </m:mtd>
 134       </m:mtr>
 135       <m:mtr>
 136        <m:mtd>
 137         <m:mrow>
 138          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 139          <xsl:apply-templates select="type/*[1]"/>
 140         </m:mrow>
 141        </m:mtd>
 142       </m:mtr>
 143      </m:mtable>
 144     </m:math>
 145 </xsl:template>
 146
 147 <!-- UNFINISHED PROOF -->
 148
 149 <xsl:template match="CurrentProof">
 150     <m:math>
 151      <m:mtable align="baseline 1" equalrows="false" columnalign="left" helm:xref="{@helm:xref}">
 152       <m:mtr>
 153        <m:mtd>
 154         <m:mrow>
 155          <m:mtext>UNFINISHED PROOF <xsl:value-of select="@name"/>(<xsl:if test="string(./Params) != &quot;&quot;"><xsl:value-of select="Params"/></xsl:if>)</m:mtext>
 156         </m:mrow>
 157        </m:mtd>
 158       </m:mtr>
 159       <m:mtr>
 160        <m:mtd>
 161         <m:mrow>
 162          <m:mtext>THESIS:</m:mtext>
 163         </m:mrow>
 164        </m:mtd>
 165       </m:mtr>
 166       <m:mtr>
 167        <m:mtd>
 168         <m:mrow>
 169          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 170          <xsl:apply-templates select="type/*[1]"/>
 171         </m:mrow>
 172        </m:mtd>
 173       </m:mtr>
 174       <m:mtr>
 175        <m:mtd>
 176         <m:mrow>
 177          <m:mtext>CONJECTURES:</m:mtext>
 178         </m:mrow>
 179        </m:mtd>
 180       </m:mtr>
 181       <xsl:for-each select="Conjecture">
 182       <m:mtr>
 183        <m:mtd>
 184         <m:mrow helm:xref="{@helm:xref}">
 185          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 186          <xsl:for-each select="Decl|Def|Hidden">
 187           <xsl:choose>
 188            <xsl:when test="name(.)='Decl'">
 189             <m:mrow helm:xref="{@helm:xref}">
 190              <xsl:choose>
 191               <xsl:when test="@name">
 192                <m:mi><xsl:value-of select="@name"/></m:mi>
 193               </xsl:when>
 194               <xsl:otherwise>
 195                <m:mi>_</m:mi>
 196               </xsl:otherwise>
 197              </xsl:choose>
 198              <m:mo>:</m:mo>
 199              <xsl:apply-templates select="./*[1]"/>
 200             </m:mrow>
 201            </xsl:when>
 202            <xsl:when test="name(.)='Def'">
 203             <m:mrow helm:xref="{@helm:xref}">
 204              <xsl:choose>
 205               <xsl:when test="@name">
 206                <m:mi><xsl:value-of select="@name"/></m:mi>
 207               </xsl:when>
 208               <xsl:otherwise>
 209                <m:mi>_</m:mi>
 210               </xsl:otherwise>
 211              </xsl:choose>
 212              <m:mo>:=</m:mo>
 213              <xsl:apply-templates select="./*[1]"/>
 214             </m:mrow>
 215            </xsl:when>
 216            <xsl:otherwise>
 217             <m:mrow helm:xref="{@helm:xref}">
 218              <m:mi>_</m:mi>
 219              <m:mo>:?</m:mo>
 220              <m:mi>_</m:mi>
 221             </m:mrow>
 222            </xsl:otherwise>
 223           </xsl:choose>
 224           <xsl:if test="not (position() = last())">
 225            <m:mo>;</m:mo>
 226           </xsl:if>
 227          </xsl:for-each>
 228          <m:mo>|-</m:mo>
 229          <m:msub><m:mi>?</m:mi><m:mn><xsl:value-of select="@no"/></m:mn></m:msub>
 230          <m:mo>:</m:mo>
 231          <xsl:apply-templates select="./Goal/*[1]"/>
 232         </m:mrow>
 233        </m:mtd>
 234       </m:mtr>
 235       </xsl:for-each>
 236       <m:mtr>
 237        <m:mtd>
 238         <m:mrow>
 239          <m:mtext>PROOF:</m:mtext>
 240         </m:mrow>
 241        </m:mtd>
 242       </m:mtr>
 243       <m:mtr>
 244        <m:mtd>
 245         <m:mrow>
 246          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 247          <xsl:apply-templates select="body/*[1]"/>
 248         </m:mrow>
 249        </m:mtd>
 250       </m:mtr>
 251      </m:mtable>
 252     </m:math>
 253 </xsl:template>
 254
 255 <!-- MUTUAL INDUCTIVE DEFINITION -->
 256
 257 <xsl:template match="InductiveDefinition">
 258     <m:math>
 259      <m:mtable align="baseline 1" equalrows="false" columnalign="left" helm:xref="{@helm:xref}">
 260      <xsl:for-each select="InductiveType">
 261       <m:mtr>
 262        <m:mtd>
 263         <m:mrow>
 264          <xsl:choose>
 265          <xsl:when test="position() = 1">
 266           <xsl:choose>
 267           <xsl:when test="string(./@inductive) = &quot;true&quot;">
 268            <m:mtext>INDUCTIVE DEFINITION</m:mtext>
 269           </xsl:when>
 270           <xsl:otherwise>
 271            <m:mtext>COINDUCTIVE DEFINITION</m:mtext>
 272           </xsl:otherwise>
 273           </xsl:choose>
 274          </xsl:when>
 275          <xsl:otherwise>
 276           <m:mtext>AND</m:mtext>
 277          </xsl:otherwise>
 278          </xsl:choose>
 279          <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 280          <m:mtext><xsl:value-of select="./@name"/>(<xsl:if test="string(../Params) != &quot;&quot;"><xsl:value-of select="../Params"/></xsl:if>)</m:mtext>
 281         </m:mrow>
 282        </m:mtd>
 283       </m:mtr>
 284       <m:mtr>
 285        <m:mtd>
 286         <m:mrow>
 287          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 288          <m:mtext>[</m:mtext>
 289          <xsl:choose>
 290          <xsl:when test="string(../Param) != &quot;&quot;">
 291           <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 292            <xsl:for-each select="../Param">
 293             <m:mtr>
 294              <m:mtd>
 295               <m:mrow>
 296                <m:mi><xsl:value-of select="./@name"/></m:mi>
 297                <m:mo>:</m:mo>
 298                <xsl:apply-templates select="*"/>
 299               </m:mrow>
 300              </m:mtd>
 301             </m:mtr>
 302            </xsl:for-each>
 303             <m:mtr>
 304              <m:mtd>
 305               <m:mrow>
 306                <m:mtext>]</m:mtext>
 307               </m:mrow>
 308              </m:mtd>
 309             </m:mtr>
 310           </m:mtable>
 311          </xsl:when>
 312          <xsl:otherwise>
 313           <m:mtext>]</m:mtext>
 314          </xsl:otherwise>
 315          </xsl:choose>
 316         </m:mrow>
 317        </m:mtd>
 318       </m:mtr>
 319       <m:mtr>
 320        <m:mtd>
 321         <m:mrow>
 322          <m:mtext>OF ARITY</m:mtext>
 323         </m:mrow>
 324        </m:mtd>
 325       </m:mtr>
 326       <m:mtr>
 327        <m:mtd>
 328         <m:mrow>
 329          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 330          <xsl:apply-templates select="./arity/*[1]"/>
 331         </m:mrow>
 332        </m:mtd>
 333       </m:mtr>
 334       <m:mtr>
 335        <m:mtd>
 336         <m:mrow>
 337          <m:mtext>BUILT FROM</m:mtext>
 338         </m:mrow>
 339        </m:mtd>
 340       </m:mtr>
 341       <xsl:for-each select="./Constructor">
 342       <m:mtr>
 343        <m:mtd>
 344         <m:mrow>
 345          <xsl:choose>
 346          <xsl:when test="position() = 1">
 347           <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 348          </xsl:when>
 349          <xsl:otherwise>
 350           <m:mtext>|</m:mtext>
 351           <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 352          </xsl:otherwise>
 353          </xsl:choose>
 354          <m:mtext><xsl:value-of select="./@name"/> OF</m:mtext>
 355          <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 356          <xsl:apply-templates select="./*[1]"/>
 357         </m:mrow>
 358        </m:mtd>
 359       </m:mtr>
 360       </xsl:for-each>
 361      </xsl:for-each>
 362      </m:mtable>
 363     </m:math>
 364 </xsl:template>
 365
 366 <!-- VARIABLE -->
 367
 368 <xsl:template match="Variable">
 369     <m:math>
 370      <m:mtable align="baseline 1" equalrows="false" columnalign="left" helm:xref="{@helm:xref}">
 371       <m:mtr>
 372        <m:mtd>
 373         <m:mrow>
 374          <m:mtext>VARIABLE <xsl:value-of select="@name"/> OF TYPE</m:mtext>
 375         </m:mrow>
 376        </m:mtd>
 377       </m:mtr>
 378       <m:mtr>
 379        <m:mtd>
 380         <m:mrow>
 381          <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 382          <xsl:apply-templates select="type/*[1]"/>
 383         </m:mrow>
 384        </m:mtd>
 385       </m:mtr>
 386       <xsl:if test="name(*[1])='body'">
 387        <m:mtr>
 388         <m:mtd>
 389          <m:mrow>
 390           <m:mtext>AS</m:mtext>
 391          </m:mrow>
 392         </m:mtd>
 393        </m:mtr>
 394        <m:mtr>
 395         <m:mtd>
 396          <m:mrow>
 397           <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 398           <xsl:apply-templates select="body/*[1]"/>
 399          </m:mrow>
 400         </m:mtd>
 401        </m:mtr>
 402       </xsl:if>
 403      </m:mtable>
 404     </m:math>
 405 </xsl:template>
 406
 407 <!-- SEQUENT -->
 408
 409 <xsl:template match="Sequent">
 410  <xsl:variable name="rowlines">
 411   <xsl:for-each select="Decl|Def">
 412    <xsl:if test="position() != last()">
 413     <xsl:text>none </xsl:text>
 414    </xsl:if>
 415   </xsl:for-each>
 416   <xsl:text>solid</xsl:text>
 417  </xsl:variable>
 418  <xsl:variable name="no" select="@no"/>
 419     <m:math>
 420      <m:mi><xsl:text>?</xsl:text><xsl:value-of select="$no"/></m:mi>
 421      <m:mo>:</m:mo>
 422      <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 423      <m:mtable align="baseline 1" equalrows="false" columnalign="left" helm:xref="{@helm:xref}" rowlines="{$rowlines}">
 424       <xsl:for-each select="Decl|Def">
 425        <m:mtr>
 426         <m:mtd>
 427          <m:mrow helm:xref="{@helm:xref}">
 428           <m:mi><xsl:value-of select="@name"/></m:mi>
 429           <xsl:choose>
 430            <xsl:when test="name(.) = 'Decl'">
 431             <m:mo>:</m:mo>
 432            </xsl:when>
 433            <xsl:otherwise>
 434             <m:mo>:=</m:mo>
 435            </xsl:otherwise>
 436           </xsl:choose>
 437           <xsl:apply-templates select="*[1]"/>
 438          </m:mrow>
 439         </m:mtd>
 440        </m:mtr>
 441       </xsl:for-each>
 442       <xsl:if test="not(Decl|Def)">
 443       <m:mtr>
 444        <m:mtd>
 445         <m:mrow>
 446          <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 447         </m:mrow>
 448        </m:mtd>
 449       </m:mtr>
 450       </xsl:if>
 451       <m:mtr>
 452        <m:mtd>
 453         <m:mrow>
 454          <xsl:apply-templates select="Goal/*[1]"/>
 455         </m:mrow>
 456        </m:mtd>
 457       </m:mtr>
 458      </m:mtable>
 459     </m:math>
 460 </xsl:template>
 461
 462 <!--**********************-->
 463 <!--        TERMS         -->
 464 <!--**********************-->
 465
 466 <xsl:template match="m:bvar">
 467  <xsl:choose>
 468   <xsl:when test="m:type">
 469    <xsl:variable name="charlength">
 470     <xsl:apply-templates select="m:ci" mode="charcount"/>
 471    </xsl:variable>
 472    <xsl:choose>
 473     <xsl:when test="$charlength >= $framewidth">
 474      <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 475       <m:mtr>
 476        <m:mtd>
 477         <m:mrow>
 478          <xsl:apply-templates select="m:ci"/>
 479          <m:mo>:</m:mo>
 480         </m:mrow>
 481        </m:mtd>
 482       </m:mtr>
 483       <m:mtr>
 484        <m:mtd>
 485         <m:mrow>
 486          <xsl:apply-templates select="m:type"/>
 487         </m:mrow>
 488        </m:mtd>
 489       </m:mtr>
 490      </m:mtable>
 491     </xsl:when>
 492     <xsl:otherwise>
 493      <m:mrow>
 494       <xsl:apply-templates select="m:ci"/>
 495       <m:mo>:</m:mo>
 496       <xsl:apply-templates select="m:type"/>
 497      </m:mrow>
 498     </xsl:otherwise>
 499    </xsl:choose>
 500   </xsl:when>
 501   <xsl:otherwise>
 502    <xsl:apply-templates select="m:ci"/>
 503   </xsl:otherwise>
 504  </xsl:choose>
 505 </xsl:template>
 506
 507
 508 <!-- CSYMBOL -->
 509
 510 <xsl:template match="m:apply[m:csymbol]">
 511 <xsl:param name="nopar" select="0"/>
 512     <xsl:variable name="name"><xsl:value-of select="m:csymbol"/></xsl:variable>
 513     <xsl:variable name="charlength"><xsl:apply-templates select="m:csymbol" mode="charcount"/></xsl:variable>
 514     <m:mrow>
 515      <xsl:if test="@id">
 516       <xsl:attribute name="xref"><xsl:value-of select="@id"/></xsl:attribute>
 517      </xsl:if>
 518      <xsl:variable name="id" select="m:csymbol/@id"/>
 519      <xsl:choose>
 520       <!-- META -->
 521       <xsl:when test="$name='meta'">
 522        <m:mrow>
 523         <xsl:apply-templates select="*[position()=2]"/>
 524         <m:mfenced open="[" close="]" separators=";">
 525          <xsl:apply-templates select="*[position()>2]"/>
 526         </m:mfenced>
 527        </m:mrow>
 528       </xsl:when>
 529       <!-- FORALL -->
 530       <xsl:when test="$name='forall'">
 531        <xsl:choose>
 532        <xsl:when test="$charlength >= $framewidth">
 533         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 534          <m:mtr>
 535           <m:mtd>
 536            <m:mrow>
 537             <m:mo mathcolor="Blue">&#8704;</m:mo>
 538             <xsl:apply-templates select="m:bvar"/>
 539            </m:mrow>
 540           </m:mtd>
 541          </m:mtr>
 542          <m:mtr>
 543           <m:mtd>
 544            <m:mrow>
 545             <m:mo>.</m:mo>
 546             <xsl:apply-templates select="*[position()=3]"/>
 547            </m:mrow>
 548           </m:mtd>
 549          </m:mtr>
 550         </m:mtable>
 551        </xsl:when>
 552        <xsl:otherwise>
 553         <m:mo mathcolor="Blue">&#8704;</m:mo>
 554         <xsl:apply-templates select="m:bvar/m:ci"/>
 555         <m:mo>:</m:mo>
 556         <xsl:apply-templates select="m:bvar/m:type"/>
 557         <m:mo>.</m:mo>
 558         <xsl:apply-templates select="*[position()=3]"/>
 559        </xsl:otherwise>
 560        </xsl:choose>
 561       </xsl:when>
 562       <!-- LET-IN -->
 563       <xsl:when test="$name='let_in'">
 564        <xsl:choose>
 565        <xsl:when test="$charlength >= $framewidth">
 566         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 567          <m:mtr>
 568           <m:mtd>
 569            <m:mrow>
 570             <m:mo>LET</m:mo>
 571             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 572             <xsl:apply-templates select="m:bvar"/>
 573            </m:mrow>
 574           </m:mtd>
 575          </m:mtr>
 576          <m:mtr>
 577           <m:mtd>
 578            <m:mrow>
 579             <m:mo>=</m:mo>
 580             <xsl:apply-templates select="*[position()=3]"/>
 581            </m:mrow>
 582           </m:mtd>
 583          </m:mtr>
 584          <m:mtr>
 585           <m:mtd>
 586            <m:mrow>
 587             <m:mo>IN</m:mo>
 588             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 589             <xsl:apply-templates select="*[position()=4]"/>
 590            </m:mrow>
 591           </m:mtd>
 592          </m:mtr>
 593         </m:mtable>
 594        </xsl:when>
 595        <xsl:otherwise>
 596         <m:mo>LET</m:mo>
 597         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 598         <xsl:apply-templates select="m:bvar/m:ci"/>
 599         <m:mo>=</m:mo>
 600         <xsl:apply-templates select="*[position()=3]"/>
 601         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 602         <m:mtext>IN</m:mtext>
 603         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 604         <xsl:apply-templates select="*[position()=4]"/>
 605        </xsl:otherwise>
 606        </xsl:choose>
 607       </xsl:when>
 608       <!-- PROD -->
 609       <xsl:when test="$name='prod'">
 610        <xsl:choose>
 611        <xsl:when test="$charlength >= $framewidth">
 612         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 613          <m:mtr>
 614           <m:mtd>
 615            <m:mrow>
 616             <m:mo mathcolor="Blue">&#x03a0;</m:mo>
 617             <xsl:apply-templates select="m:bvar"/>
 618            </m:mrow>
 619           </m:mtd>
 620          </m:mtr>
 621          <m:mtr>
 622           <m:mtd>
 623            <m:mrow>
 624             <m:mo>.</m:mo>
 625             <xsl:apply-templates select="*[position()=3]"/>
 626            </m:mrow>
 627           </m:mtd>
 628          </m:mtr>
 629         </m:mtable>
 630        </xsl:when>
 631        <xsl:otherwise>
 632         <m:mo mathcolor="Blue">&#x03a0;</m:mo>
 633         <xsl:apply-templates select="m:bvar/m:ci"/>
 634         <m:mo>:</m:mo>
 635         <xsl:apply-templates select="m:bvar/m:type"/>
 636         <m:mo>.</m:mo>
 637         <xsl:apply-templates select="*[position()=3]"/>
 638        </xsl:otherwise>
 639        </xsl:choose>
 640       </xsl:when>
 641       <!-- ARROW -->
 642       <xsl:when test="$name='arrow'">
 643        <xsl:choose>
 644        <xsl:when test="$charlength >= $framewidth">
 645         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 646          <m:mtr>
 647           <m:mtd>
 648            <m:mrow>
 649             <xsl:if test="$nopar=0">
 650              <m:mo stretchy="false">(</m:mo>
 651             </xsl:if>
 652             <xsl:apply-templates select="*[position()=2]"/>
 653            </m:mrow>
 654           </m:mtd>
 655          </m:mtr>
 656          <m:mtr>
 657           <m:mtd>
 658            <m:mrow>
 659             <m:mo mathmathcolor="Blue">&#x2192;</m:mo>
 660             <xsl:choose>
 661             <xsl:when test="*[position()=3]/m:csymbol">
 662              <xsl:variable name="nextp"><xsl:value-of select="*[position()=3]/m:csymbol"/></xsl:variable>
 663              <xsl:choose>
 664              <xsl:when test="$nextp='arrow'">
 665               <xsl:apply-templates select="*[position()=3]"><xsl:with-param name="nopar" select="1"/></xsl:apply-templates>
 666              </xsl:when>
 667              <xsl:otherwise>
 668               <xsl:apply-templates select="*[position()=3]"/>
 669              </xsl:otherwise>
 670              </xsl:choose>
 671             </xsl:when>
 672             <xsl:otherwise>
 673              <xsl:apply-templates select="*[position()=3]"/>
 674             </xsl:otherwise>
 675             </xsl:choose>
 676            </m:mrow>
 677           </m:mtd>
 678          </m:mtr>
 679          <xsl:if test="$nopar=0">
 680          <m:mtr>
 681           <m:mtd>
 682            <m:mrow>
 683             <m:mo stretchy="false">)</m:mo>
 684            </m:mrow>
 685           </m:mtd>
 686          </m:mtr>
 687          </xsl:if>
 688         </m:mtable>
 689        </xsl:when>
 690        <xsl:otherwise>
 691         <xsl:if test="$nopar=0">
 692          <m:mo stretchy="false">(</m:mo>
 693         </xsl:if>
 694         <xsl:apply-templates select="*[position()=2]"/>
 695         <m:mo mathcolor="Blue">&#x2192;</m:mo>
 696         <xsl:choose>
 697         <xsl:when test="*[position()=3]/m:csymbol">
 698          <xsl:variable name="nextp"><xsl:value-of select="*[position()=3]/m:csymbol"/></xsl:variable>
 699          <xsl:choose>
 700          <xsl:when test="$nextp='arrow'">
 701           <xsl:apply-templates select="*[position()=3]"><xsl:with-param name="nopar" select="1"/></xsl:apply-templates>
 702          </xsl:when>
 703          <xsl:otherwise>
 704           <xsl:apply-templates select="*[position()=3]"/>
 705          </xsl:otherwise>
 706          </xsl:choose>
 707         </xsl:when>
 708         <xsl:otherwise>
 709          <xsl:apply-templates select="*[position()=3]"/>
 710         </xsl:otherwise>
 711         </xsl:choose>
 712         <xsl:if test="$nopar=0">
 713          <m:mo stretchy="false">)</m:mo>
 714         </xsl:if>
 715        </xsl:otherwise>
 716        </xsl:choose>
 717       </xsl:when>
 718       <!-- APP -->
 719       <xsl:when test="$name='app'">
 720        <xsl:choose>
 721        <xsl:when test="$charlength >= $framewidth">
 722         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 723          <m:mtr>
 724           <m:mtd>
 725            <m:mrow>
 726             <m:mo stretchy="false">(</m:mo>
 727 <!-- added precedence to app = FUNCTION_PREC (99) -->
 728             <xsl:apply-templates select="*[position()=2]">
 729              <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
 730             </xsl:apply-templates>
 731            </m:mrow>
 732           </m:mtd>
 733          </m:mtr>
 734          <xsl:for-each select="*[position()>2]">
 735          <m:mtr>
 736           <m:mtd>
 737            <m:mrow>
 738             <m:mphantom><m:mtext>(</m:mtext></m:mphantom>
 739 <!-- added precedence to app = FUNCTION_PREC (99) -->
 740             <xsl:apply-templates select=".">
 741              <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
 742             </xsl:apply-templates>
 743            </m:mrow>
 744           </m:mtd>
 745          </m:mtr>
 746          </xsl:for-each>
 747          <m:mtr>
 748           <m:mtd>
 749            <m:mrow>
 750             <m:mo stretchy="false">)</m:mo>
 751            </m:mrow>
 752           </m:mtd>
 753          </m:mtr>
 754         </m:mtable>
 755        </xsl:when>
 756        <xsl:otherwise>
 757         <m:mo stretchy="false">(</m:mo>
 758 <!-- added precedence to app = FUNCTION_PREC (99) -->
 759         <xsl:apply-templates select="*[position()=2]">
 760          <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
 761         </xsl:apply-templates>
 762         <xsl:for-each select="*[position()>2]">
 763          <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 764 <!-- added precedence to app = FUNCTION_PREC (99) -->
 765          <xsl:apply-templates select=".">
 766           <xsl:with-param name="IN_PREC" select="$FUNCTION_PREC"/>
 767          </xsl:apply-templates>
 768         </xsl:for-each>
 769         <m:mo stretchy="false">)</m:mo>
 770        </xsl:otherwise>
 771        </xsl:choose>
 772       </xsl:when>
 773       <!-- CAST -->
 774       <xsl:when test="$name='cast'">
 775        <xsl:choose>
 776        <xsl:when test="$charlength >= $framewidth">
 777         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 778          <m:mtr>
 779           <m:mtd>
 780            <m:mrow>
 781             <m:mo stretchy="false">(</m:mo>
 782             <xsl:apply-templates select="*[position()=2]"/>
 783            </m:mrow>
 784           </m:mtd>
 785          </m:mtr>
 786          <m:mtr>
 787           <m:mtd>
 788            <m:mrow>
 789             <m:mo mathcolor="Maroon">:></m:mo>
 790             <xsl:apply-templates select="*[position()=3]"/>
 791            </m:mrow>
 792           </m:mtd>
 793          </m:mtr>
 794          <m:mtr>
 795           <m:mtd>
 796            <m:mrow>
 797             <m:mo stretchy="false">)</m:mo>
 798            </m:mrow>
 799           </m:mtd>
 800          </m:mtr>
 801         </m:mtable>
 802        </xsl:when>
 803        <xsl:otherwise>
 804         <m:mo stretchy="false">(</m:mo>
 805         <xsl:apply-templates select="*[position()=2]"/>
 806         <m:mo mathcolor="Maroon">:></m:mo>
 807         <xsl:apply-templates select="*[position()=3]"/>
 808         <m:mo stretchy="false">)</m:mo>
 809        </xsl:otherwise>
 810        </xsl:choose>
 811       </xsl:when>
 812       <!-- PROP -->
 813       <xsl:when test="$name='Prop'">
 814        <m:mo>Prop</m:mo>
 815       </xsl:when>
 816       <!-- SET -->
 817       <xsl:when test="$name='Set'">
 818        <m:mo>Set</m:mo>
 819       </xsl:when>
 820       <!-- TYPE -->
 821       <xsl:when test="$name='Type'">
 822        <m:mo>Type</m:mo>
 823       </xsl:when>
 824       <!-- MUTCASE -->
 825       <xsl:when test="$name='mutcase'">
 826        <xsl:choose>
 827        <xsl:when test="$charlength >= $framewidth">
 828         <xsl:variable name="charlength"><xsl:apply-templates select="*[position()=2]" mode="charcount"><xsl:with-param name="nosibling" select="1"/></xsl:apply-templates></xsl:variable>
 829         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 830          <m:mtr>
 831           <m:mtd>
 832            <m:mrow>
 833             <m:mo>&lt;</m:mo>
 834             <xsl:apply-templates select="*[position()=2]"/>
 835             <xsl:if test="$framewidth > $charlength">
 836              <m:mo>&gt;</m:mo>
 837              <m:mo>CASES</m:mo>
 838              <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 839              <xsl:apply-templates select="*[position()=3]"/>
 840             </xsl:if>
 841            </m:mrow>
 842           </m:mtd>
 843          </m:mtr>
 844          <xsl:if test="$charlength >= $framewidth">
 845          <m:mtr>
 846           <m:mtd>
 847            <m:mrow>
 848             <m:mo>&gt;</m:mo>
 849             <m:mo>CASES</m:mo>
 850             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 851             <xsl:apply-templates select="*[position()=3]"/>
 852            </m:mrow>
 853           </m:mtd>
 854          </m:mtr>
 855          </xsl:if>
 856          <m:mtr>
 857           <m:mtd>
 858            <m:mrow>
 859             <m:mo>OF</m:mo>
 860            </m:mrow>
 861           </m:mtd>
 862          </m:mtr>
 863          <xsl:for-each select="m:piecewise/m:piece">
 864          <xsl:variable name="charlength"><xsl:apply-templates select="./*[2]" mode="charcount"><xsl:with-param name="nosibling" select="1"/></xsl:apply-templates></xsl:variable>
 865          <m:mtr>
 866           <m:mtd>
 867            <m:mrow>
 868             <xsl:choose>
 869             <xsl:when test="position() = 1">
 870               <m:mphantom><m:mtext>|</m:mtext></m:mphantom>
 871             </xsl:when>
 872             <xsl:otherwise>
 873              <m:mo stretchy="false">|</m:mo>
 874             </xsl:otherwise>
 875             </xsl:choose>
 876             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 877             <xsl:apply-templates select="./*[2]"/>
 878             <xsl:if test="$framewidth > $charlength">
 879              <m:mo mathcolor="Green">&#x21d2;</m:mo>
 880              <xsl:apply-templates select="./*[1]"/>
 881             </xsl:if>
 882            </m:mrow>
 883           </m:mtd>
 884          </m:mtr>
 885          <xsl:if test="$charlength >= $framewidth">
 886          <m:mtr>
 887           <m:mtd>
 888            <m:mrow>
 889             <m:mphantom><m:mtext>|_</m:mtext></m:mphantom>
 890             <m:mo mathcolor="Green">&#x21d2;</m:mo>
 891             <xsl:apply-templates select="./*[1]"/>
 892            </m:mrow>
 893           </m:mtd>
 894          </m:mtr>
 895          </xsl:if>
 896         </xsl:for-each>
 897          <m:mtr>
 898           <m:mtd>
 899            <m:mrow>
 900             <m:mo>END</m:mo>
 901            </m:mrow>
 902           </m:mtd>
 903          </m:mtr>
 904         </m:mtable>
 905        </xsl:when>
 906        <xsl:otherwise>
 907         <m:mo>&lt;</m:mo><xsl:apply-templates select="*[position()=2]"/><m:mo>&gt;</m:mo>
 908         <m:mo>CASES</m:mo>
 909         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 910         <xsl:apply-templates select="*[position()=3]"/>
 911         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 912         <m:mo>OF</m:mo>
 913         <xsl:for-each select="m:piecewise/m:piece">
 914          <xsl:choose>
 915          <xsl:when test="position() != 1">
 916           <m:mo stretchy="false">|</m:mo>
 917          </xsl:when>
 918          </xsl:choose>
 919          <xsl:apply-templates select="./*[2]"/>
 920          <m:mo mathcolor="Green">&#x21d2;</m:mo>
 921          <xsl:apply-templates select="./*[1]"/>
 922         </xsl:for-each>
 923         <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 924         <m:mo>END</m:mo>
 925        </xsl:otherwise>
 926        </xsl:choose>
 927       </xsl:when>
 928       <!-- FIX -->
 929       <xsl:when test="$name='fix'">
 930        <xsl:choose>
 931        <xsl:when test="$charlength >= $framewidth">
 932         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 933          <m:mtr>
 934           <m:mtd>
 935            <m:mrow>
 936             <m:mo>FIX</m:mo>
 937             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
 938             <m:mi><xsl:value-of select="m:ci"/></m:mi>
 939             <m:mo stretchy="false">{</m:mo>
 940            </m:mrow>
 941           </m:mtd>
 942          </m:mtr>
 943          <m:mtr>
 944           <m:mtd>
 945            <m:mrow>
 946             <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
 947             <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 948             <xsl:for-each select="m:bvar">
 949              <xsl:variable name="charlength"><xsl:apply-templates select="m:type" mode="charcount"><xsl:with-param name="nosibling" select="1"/></xsl:apply-templates></xsl:variable>
 950              <m:mtr>
 951               <m:mtd>
 952                <m:mrow>
 953                 <m:mi><xsl:value-of select="m:ci"/></m:mi>
 954                 <m:mo>:</m:mo>
 955                 <xsl:if test="$framewidth > $charlength">
 956                  <xsl:apply-templates select="m:type"/>
 957                 </xsl:if>
 958                </m:mrow>
 959               </m:mtd>
 960              </m:mtr>
 961              <xsl:if test="$charlength >= $framewidth">
 962              <m:mtr>
 963               <m:mtd>
 964                <m:mrow>
 965                 <m:mphantom><m:mtext>:=</m:mtext></m:mphantom>
 966                 <xsl:apply-templates select="m:type"/>
 967                </m:mrow>
 968               </m:mtd>
 969              </m:mtr>
 970              </xsl:if>
 971              <m:mtr>
 972               <m:mtd>
 973                <m:mrow>
 974                 <m:mo>:=</m:mo>
 975                 <xsl:apply-templates select="following-sibling::*[position()=1]"/>
 976                </m:mrow>
 977               </m:mtd>
 978              </m:mtr>
 979             </xsl:for-each>
 980             </m:mtable>
 981            </m:mrow>
 982           </m:mtd>
 983          </m:mtr>
 984          <m:mtr>
 985           <m:mtd>
 986            <m:mrow>
 987             <m:mo stretchy="false">}</m:mo>
 988            </m:mrow>
 989           </m:mtd>
 990          </m:mtr>
 991         </m:mtable>
 992        </xsl:when>
 993        <xsl:otherwise>
 994         <m:mo>FIX</m:mo>
 995         <m:mi><xsl:value-of select="m:ci"/></m:mi>
 996         <m:mo stretchy="false">{</m:mo>
 997         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
 998         <xsl:for-each select="m:bvar">
 999          <m:mtr>
1000           <m:mtd>
1001            <m:mrow>
1002             <m:mi><xsl:value-of select="m:ci"/></m:mi>
1003             <m:mo>:</m:mo>
1004             <xsl:apply-templates select="m:type"/>
1005             <m:mo>:=</m:mo>
1006             <xsl:apply-templates select="following-sibling::*[position() = 1]"/>
1007             <xsl:if test="position()=last()">
1008              <m:mo stretchy="false">}</m:mo>
1009             </xsl:if>
1010            </m:mrow>
1011           </m:mtd>
1012          </m:mtr>
1013          </xsl:for-each>
1014         </m:mtable>
1015        </xsl:otherwise>
1016        </xsl:choose>
1017       </xsl:when>
1018       <!-- COFIX -->
1019       <xsl:when test="$name='cofix'">
1020        <xsl:choose>
1021        <xsl:when test="$charlength >= $framewidth">
1022         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1023          <m:mtr>
1024           <m:mtd>
1025            <m:mrow>
1026             <m:mo>COFIX</m:mo>
1027             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1028             <m:mi><xsl:value-of select="m:ci"/></m:mi>
1029             <m:mo stretchy="false">{</m:mo>
1030            </m:mrow>
1031           </m:mtd>
1032          </m:mtr>
1033          <m:mtr>
1034           <m:mtd>
1035            <m:mrow>
1036             <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
1037             <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1038             <xsl:for-each select="m:bvar">
1039              <xsl:variable name="charlength"><xsl:apply-templates select="m:type" mode="charcount"><xsl:with-param name="nosibling" select="1"/></xsl:apply-templates></xsl:variable>
1040              <m:mtr>
1041               <m:mtd>
1042                <m:mrow>
1043                 <m:mi><xsl:value-of select="m:ci"/></m:mi>
1044                 <m:mo>:</m:mo>
1045                 <xsl:if test="$framewidth > $charlength">
1046                  <xsl:apply-templates select="m:type"/>
1047                 </xsl:if>
1048                </m:mrow>
1049               </m:mtd>
1050              </m:mtr>
1051              <xsl:if test="$charlength >= $framewidth">
1052              <m:mtr>
1053               <m:mtd>
1054                <m:mrow>
1055                 <m:mphantom><m:mtext>:=</m:mtext></m:mphantom>
1056                 <xsl:apply-templates select="m:type"/>
1057                </m:mrow>
1058               </m:mtd>
1059              </m:mtr>
1060              </xsl:if>
1061              <m:mtr>
1062               <m:mtd>
1063                <m:mrow>
1064                 <m:mo>:=</m:mo>
1065                 <xsl:apply-templates select="following-sibling::*[position() = 1]"/>
1066                </m:mrow>
1067               </m:mtd>
1068              </m:mtr>
1069             </xsl:for-each>
1070             </m:mtable>
1071            </m:mrow>
1072           </m:mtd>
1073          </m:mtr>
1074          <m:mtr>
1075           <m:mtd>
1076            <m:mrow>
1077             <m:mo stretchy="false">}</m:mo>
1078            </m:mrow>
1079           </m:mtd>
1080          </m:mtr>
1081         </m:mtable>
1082        </xsl:when>
1083        <xsl:otherwise>
1084         <m:mo>COFIX</m:mo>
1085         <m:mi><xsl:value-of select="m:ci"/></m:mi>
1086         <m:mo stretchy="false">{</m:mo>
1087         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1088         <xsl:for-each select="m:bvar">
1089          <m:mtr>
1090           <m:mtd>
1091            <m:mrow>
1092             <m:mi><xsl:value-of select="m:ci"/></m:mi>
1093             <m:mo>:</m:mo>
1094             <xsl:apply-templates select="m:type"/>
1095             <m:mo>:=</m:mo>
1096             <xsl:apply-templates select="following-sibling::*[position() = 1]"/>
1097             <xsl:if test="position()=last()">
1098              <m:mo stretchy="false">}</m:mo>
1099             </xsl:if>
1100            </m:mrow>
1101           </m:mtd>
1102          </m:mtr>
1103          </xsl:for-each>
1104         </m:mtable>
1105        </xsl:otherwise>
1106        </xsl:choose>
1107       </xsl:when>
1108       <!-- INST -->
1109       <xsl:when test="$name='inst'">
1110        <m:mrow>
1111         <xsl:if test="$id != ''">
1112          <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1113         </xsl:if>
1114         <xsl:apply-templates select="*[2]"/>
1115         <m:mo stretchy="false">{</m:mo>
1116         <xsl:for-each select="*[(position()>2) and (position() mod 2 = 1)]">
1117          <xsl:apply-templates select="."/>
1118          <m:mo stretchy="false">:=</m:mo>
1119          <xsl:apply-templates select="following-sibling::*[position() = 1]"/>
1120         </xsl:for-each>
1121         <m:mo stretchy="false">}</m:mo>
1122        </m:mrow>
1123       </xsl:when>
1124       <!-- ITE -->
1125       <xsl:when test="$name='ite'">
1126        <xsl:choose>
1127         <xsl:when test="$charlength >= $framewidth">
1128          <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1129           <m:mtr>
1130            <m:mtd>
1131             <m:mrow>
1132              <m:mo>if</m:mo>
1133              <xsl:apply-templates select="*[2]"/>
1134             </m:mrow>
1135            </m:mtd>
1136           </m:mtr>
1137           <m:mtr>
1138            <m:mtd>
1139             <m:mrow>
1140              <m:mo>then</m:mo>
1141              <xsl:apply-templates select="*[3]"/>
1142             </m:mrow>
1143            </m:mtd>
1144           </m:mtr>
1145           <m:mtr>
1146            <m:mtd>
1147             <m:mrow>
1148              <m:mo>else</m:mo>
1149              <xsl:apply-templates select="*[4]"/>
1150             </m:mrow>
1151            </m:mtd>
1152           </m:mtr>
1153          </m:mtable>
1154         </xsl:when>
1155         <xsl:otherwise>
1156          <m:mrow>
1157           <m:mo>if</m:mo>
1158           <xsl:apply-templates select="*[2]"/>
1159           <m:mo>then</m:mo>
1160           <xsl:apply-templates select="*[3]"/>
1161           <m:mo>else</m:mo>
1162           <xsl:apply-templates select="*[4]"/>
1163          </m:mrow>
1164         </xsl:otherwise>
1165        </xsl:choose>
1166       </xsl:when>
1167       <!-- ***************************************** -->
1168       <!-- *********** PROOF ELEMENTS ************** -->
1169       <!-- ***************************************** -->
1170       <!-- PROOF -->
1171       <xsl:when test="$name='proof'">
1172         <!-- CSC: $explodeall until the annotationHelper can handle mactions -->
1173         <xsl:variable name="test" select="(not($explodeall)) and
1174            (not(preceding-sibling::*[1]/text()='letin1')) and
1175            (not(preceding-sibling::*[1]/text()='rw_step')) and
1176            (not(name(..)='m:lambda'))"/>
1177         <xsl:variable name="hidden_details">
1178          <xsl:if test="$test">
1179           <!-- Details hided (default) -->
1180           <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1181            <m:mtr>
1182             <m:mtd>
1183              <m:mrow>
1184               <m:mtext mathcolor="Red">We&#x00a0;can&#x00a0;prove</m:mtext>
1185               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1186               <!-- the last child is either the expected type, if provided,-->
1187               <!-- or the synthesized type.                                -->
1188               <xsl:apply-templates select="*[position()=last()]"/>
1189               <m:mrow>
1190                <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1191                <m:mtext mathcolor="Green">(explain)</m:mtext>
1192               </m:mrow>
1193              </m:mrow>
1194             </m:mtd>
1195            </m:mtr>
1196           </m:mtable>
1197          </xsl:if>
1198         </xsl:variable>
1199         <xsl:variable name="shown_details">
1200          <!-- Show details -->
1201          <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1202           <m:mtr>
1203            <m:mtd>
1204             <m:mrow>
1205              <xsl:apply-templates select="*[position()=2]"/>
1206             </m:mrow>
1207            </m:mtd>
1208           </m:mtr>
1209           <xsl:variable name="hidedetails">
1210             <m:mrow>
1211              <m:mphantom>
1212               <m:mtext>_</m:mtext>
1213              </m:mphantom>
1214              <xsl:if test="$test">
1215               <m:mtext mathcolor="Green">(hide&#x00a0;details)</m:mtext>
1216              </xsl:if>
1217             </m:mrow>
1218           </xsl:variable>
1219           <m:mtr>
1220            <m:mtd>
1221             <m:mrow>
1222              <m:mtext mathcolor="Red">we&#x00a0;proved</m:mtext>
1223              <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1224              <xsl:apply-templates select="*[position()=3]"/>
1225              <xsl:if test="not(*[4])">
1226               <xsl:copy-of select="$hidedetails"/>
1227              </xsl:if>
1228             </m:mrow>
1229            </m:mtd>
1230           </m:mtr>
1231           <xsl:if test="*[4]">
1232            <m:mtr>
1233             <m:mtd>
1234              <m:mrow>
1235               <m:mtext mathcolor="Red">that&#x00a0;is&#x00a0;equivalent&#x00a0;to</m:mtext>
1236               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1237               <xsl:apply-templates select="*[position()=4]"/>
1238               <xsl:copy-of select="$hidedetails"/>
1239              </m:mrow>
1240             </m:mtd>
1241            </m:mtr>
1242           </xsl:if>
1243          </m:mtable>
1244         </xsl:variable>
1245         <xsl:choose>
1246          <xsl:when test="$test">
1247           <m:maction actiontype="toggle">
1248            <xsl:copy-of select="$hidden_details"/>
1249            <xsl:copy-of select="$shown_details"/>
1250           </m:maction>
1251          </xsl:when>
1252          <xsl:otherwise>
1253           <xsl:copy-of select="$shown_details"/>
1254          </xsl:otherwise>
1255         </xsl:choose>
1256       </xsl:when>
1257       <!-- SIDE_PROOF -->
1258       <xsl:when test="$name='side_proof'">
1259         <xsl:variable name="test" select="(not($explodeall))"/>
1260         <xsl:variable name="hidden_details">
1261          <xsl:if test="$test">
1262           <!-- Details hided (default) -->
1263           <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1264            <m:mtr>
1265             <m:mtd>
1266              <m:mrow>
1267               <m:mtext mathcolor="Red">We&#x00a0;can&#x00a0;prove</m:mtext>
1268               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1269               <!-- the last child is either the expected type, if provided,-->
1270               <!-- or the synthesized type.                                -->
1271               <xsl:apply-templates select="*[position()=last()]"/>
1272               <m:mrow>
1273                <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1274                <m:mtext mathcolor="Green">(explain)</m:mtext>
1275               </m:mrow>
1276              </m:mrow>
1277             </m:mtd>
1278            </m:mtr>
1279           </m:mtable>
1280          </xsl:if>
1281         </xsl:variable>
1282         <xsl:variable name="shown_details">
1283          <!-- Show details -->
1284          <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1285           <m:mtr>
1286            <m:mtd>
1287             <m:mrow>
1288              <xsl:apply-templates select="*[position()=2]"/>
1289             </m:mrow>
1290            </m:mtd>
1291           </m:mtr>
1292           <xsl:variable name="hidedetails">
1293             <m:mrow>
1294              <m:mphantom>
1295               <m:mtext>_</m:mtext>
1296              </m:mphantom>
1297              <xsl:if test="$test">
1298               <m:mtext mathcolor="Green">(hide&#x00a0;details)</m:mtext>
1299              </xsl:if>
1300             </m:mrow>
1301           </xsl:variable>
1302           <m:mtr>
1303            <m:mtd>
1304             <m:mrow>
1305              <m:mtext mathcolor="Red">we&#x00a0;proved</m:mtext>
1306              <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1307              <xsl:apply-templates select="*[position()=3]"/>
1308              <xsl:if test="not(*[4])">
1309               <xsl:copy-of select="$hidedetails"/>
1310              </xsl:if>
1311             </m:mrow>
1312            </m:mtd>
1313           </m:mtr>
1314           <xsl:if test="*[4]">
1315            <m:mtr>
1316             <m:mtd>
1317              <m:mrow>
1318               <m:mtext mathcolor="Red">that&#x00a0;is&#x00a0;equivalent&#x00a0;to</m:mtext>
1319               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1320               <xsl:apply-templates select="*[position()=4]"/>
1321               <xsl:copy-of select="$hidedetails"/>
1322              </m:mrow>
1323             </m:mtd>
1324            </m:mtr>
1325           </xsl:if>
1326          </m:mtable>
1327         </xsl:variable>
1328         <xsl:choose>
1329          <xsl:when test="$test">
1330           <m:maction actiontype="toggle">
1331            <xsl:copy-of select="$hidden_details"/>
1332            <xsl:copy-of select="$shown_details"/>
1333           </m:maction>
1334          </xsl:when>
1335          <xsl:otherwise>
1336           <xsl:copy-of select="$shown_details"/>
1337          </xsl:otherwise>
1338         </xsl:choose>
1339       </xsl:when>
1340       <!-- LETIN1 -->
1341       <xsl:when test="$name='letin1'">
1342         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1343          <m:mtr>
1344           <m:mtd>
1345            <m:mrow>
1346             <xsl:apply-templates select="*[position()=2]"/>
1347            </m:mrow>
1348           </m:mtd>
1349          </m:mtr>
1350          <m:mtr>
1351           <m:mtd>
1352            <m:mrow>
1353             <xsl:apply-templates select="*[position()=3]"/>
1354            </m:mrow>
1355           </m:mtd>
1356          </m:mtr>
1357         </m:mtable>
1358       </xsl:when>
1359       <xsl:when test="$name='by_induction'">
1360        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1361         <m:mtr>
1362          <m:mtd>
1363           <m:mrow>
1364            <m:mtext mathcolor="Red">We&#x00a0;prove</m:mtext>
1365            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1366            <xsl:apply-templates select="../*[3]"/>
1367           </m:mrow>
1368          </m:mtd>
1369         </m:mtr>
1370         <m:mtr>
1371          <m:mtd>
1372           <m:mrow>
1373            <m:mtext mathcolor="Red">by&#x00a0;induction&#x00a0;on</m:mtext>
1374            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1375            <xsl:apply-templates
1376             select="*[position()=last()]/*[position()=last()]"/>
1377           </m:mrow>
1378          </m:mtd>
1379         </m:mtr>
1380         <m:mtr>
1381          <m:mtd>
1382           <m:mrow>
1383            <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1384             <xsl:for-each select="*[position()>3 and not(position()=last())]">
1385              <m:mtr>
1386               <m:mtd>
1387                <m:mrow>
1388                 <xsl:apply-templates select="."/>
1389                </m:mrow>
1390               </m:mtd>
1391              </m:mtr>
1392             </xsl:for-each>
1393            </m:mtable>
1394           </m:mrow>
1395          </m:mtd>
1396         </m:mtr>
1397        </m:mtable>
1398       </xsl:when>
1399       <!-- inductive_case -->
1400       <xsl:when test="$name='inductive_case'">
1401        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1402         <m:mtr>
1403          <m:mtd>
1404           <m:mrow>
1405            <m:mtext mathcolor="Red">Case</m:mtext>
1406            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1407            <xsl:apply-templates select="*[2]"/>
1408           </m:mrow>
1409          </m:mtd>
1410         </m:mtr>
1411         <m:mtr>
1412          <m:mtd>
1413           <m:mrow>
1414            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1415            <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1416             <xsl:if test="*[3]/*[position()>1]">
1417              <m:mtr>
1418               <m:mtd>
1419                <m:mrow>
1420                 <m:mtext mathcolor="Red">By&#x00a0;induction&#x00a0;hypothesis,&#x00a0;we&#x00a0;have:</m:mtext>
1421                </m:mrow>
1422               </m:mtd>
1423              </m:mtr>
1424              <m:mtr>
1425               <m:mtd>
1426                <m:mrow>
1427                 <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1428                 <xsl:for-each select="*[3]/*[position()>1]">
1429                  <m:mo stretchy="false">(</m:mo>
1430                  <xsl:apply-templates select="m:ci"/>
1431                  <m:mo stretchy="false">) </m:mo>
1432                  <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1433                  <xsl:apply-templates select="m:type"/>
1434                 </xsl:for-each>
1435                </m:mrow>
1436               </m:mtd>
1437              </m:mtr>
1438             </xsl:if>
1439             <m:mtr>
1440              <m:mtd>
1441               <m:mrow>
1442                <xsl:apply-templates select="*[4]"/>
1443               </m:mrow>
1444              </m:mtd>
1445             </m:mtr>
1446            </m:mtable>
1447           </m:mrow>
1448          </m:mtd>
1449         </m:mtr>
1450        </m:mtable>
1451       </xsl:when>
1452       <!-- case_lhs  -->
1453       <xsl:when test="$name='case_lhs'">
1454        <m:mrow>
1455         <xsl:choose>
1456          <xsl:when test="count(*)=2">
1457           <xsl:apply-templates select="*[2]"/>
1458          </xsl:when>
1459          <xsl:otherwise>
1460           <m:mo stretchy="false">(</m:mo>
1461           <xsl:apply-templates select="*[2]"/>
1462           <xsl:for-each select="m:bvar">
1463            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1464            <xsl:apply-templates select="*[1]"/>
1465            <m:mtext>:</m:mtext>
1466            <xsl:apply-templates select="m:type/*[1]"/>
1467           </xsl:for-each>
1468           <m:mo stretchy="false">)</m:mo>
1469          </xsl:otherwise>
1470         </xsl:choose>
1471        </m:mrow>
1472       </xsl:when>
1473       <!-- false_ind  -->
1474       <xsl:when test="$name='false_ind'">
1475        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1476         <m:mtr>
1477          <m:mtd>
1478           <m:mrow>
1479            <xsl:apply-templates select="*[3]"/>
1480           </m:mrow>
1481          </m:mtd>
1482         </m:mtr>
1483         <m:mtr>
1484          <m:mtd>
1485           <m:mrow>
1486            <m:mtext mathcolor="Red">Contradiction.</m:mtext>
1487           </m:mrow>
1488          </m:mtd>
1489         </m:mtr>
1490        </m:mtable>
1491       </xsl:when>
1492       <!-- LET-IN -->
1493       <xsl:when test="$name='letin'">
1494         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1495          <!-- <xsl:for-each select="APPLY[m:csymbol and (string(m:csymbol)='let')]"> -->
1496          <xsl:for-each select="*[(last() > position()) and (position()>1)]">
1497          <m:mtr>
1498           <m:mtd>
1499            <m:mrow>
1500             <xsl:apply-templates select="."/>
1501            </m:mrow>
1502           </m:mtd>
1503          </m:mtr>
1504          </xsl:for-each>
1505          <m:mtr>
1506           <m:mtd>
1507            <m:mrow>
1508             <xsl:apply-templates select="*[position()=last()]"/>
1509            </m:mrow>
1510           </m:mtd>
1511          </m:mtr>
1512         </m:mtable>
1513       </xsl:when>
1514       <!-- LET -->
1515       <xsl:when test="$name='let'">
1516        <m:mtext>(</m:mtext>
1517        <xsl:apply-templates select="m:ci"/>
1518        <m:mtext>) </m:mtext>
1519        <xsl:apply-templates select="*[3]"/>
1520       </xsl:when>
1521       <!-- RW_STEP -->
1522       <xsl:when test="$name='rw_step'">
1523         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1524          <m:mtr>
1525           <m:mtd>
1526            <m:mrow>
1527             <xsl:choose>
1528              <xsl:when test="name(*[2])='m:apply'">
1529               <xsl:apply-templates select="*[2]"/>
1530              </xsl:when>
1531              <xsl:otherwise>
1532               <m:mtext>Consider</m:mtext>
1533               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1534               <xsl:apply-templates select="*[2]"/>
1535              </xsl:otherwise>
1536             </xsl:choose>
1537            </m:mrow>
1538           </m:mtd>
1539          </m:mtr>
1540          <m:mtr>
1541           <m:mtd>
1542            <m:mrow>
1543             <m:mtext>Rewrite</m:mtext>
1544             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1545             <xsl:apply-templates select="*[3]"/>
1546             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1547             <m:mtext>with</m:mtext>
1548             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1549             <xsl:apply-templates select="*[4]"/>
1550             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1551             <m:mtext>by</m:mtext>
1552             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1553             <xsl:apply-templates select="*[5]"/>
1554            </m:mrow>
1555           </m:mtd>
1556          </m:mtr>
1557         </m:mtable>
1558       </xsl:when>
1559       <!-- not existing any more
1560       <xsl:when test="$name='thread'">
1561         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1562          <m:mtr>
1563           <m:mtd>
1564            <m:mrow>
1565             <xsl:choose>
1566              <xsl:when test="name(*[last()])='m:apply'">
1567               <xsl:apply-templates select="*[last()]"/>
1568              </xsl:when>
1569              <xsl:otherwise>
1570               <m:mtext>Consider</m:mtext>
1571               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1572               <xsl:apply-templates select="*[last()]"/>
1573              </xsl:otherwise>
1574             </xsl:choose>
1575            </m:mrow>
1576           </m:mtd>
1577          </m:mtr>
1578          <xsl:apply-templates mode="thread" select="*[(last()-2)]"/>
1579         </m:mtable>
1580       </xsl:when>
1581       -->
1582       <!-- REWRITE_AND_APPLY -->
1583       <xsl:when test="$name='rewrite_and_apply'">
1584         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1585          <m:mtr>
1586           <m:mtd>
1587            <m:mrow>
1588             <xsl:apply-templates select="*[2]"/>
1589            </m:mrow>
1590           </m:mtd>
1591          </m:mtr>
1592          <m:mtr>
1593           <m:mtd>
1594            <m:mrow>
1595             <m:mtext>Then&#x00a0;apply&#x00a0;it&#x00a0;to</m:mtext>
1596             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1597             <xsl:apply-templates select="*[position()>2]"/>
1598            </m:mrow>
1599           </m:mtd>
1600          </m:mtr>
1601        </m:mtable>
1602       </xsl:when>
1603       <!-- AND_IND -->
1604       <xsl:when test="$name='and_ind'">
1605         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1606          <m:mtr>
1607           <m:mtd>
1608            <m:mrow>
1609             <xsl:choose>
1610              <xsl:when test="name(*[2])='m:apply'">
1611               <xsl:apply-templates select="*[2]"/>
1612              </xsl:when>
1613              <xsl:otherwise>
1614               <m:mtext>Consider</m:mtext>
1615               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1616               <xsl:apply-templates select="*[2]"/>
1617              </xsl:otherwise>
1618             </xsl:choose>
1619            </m:mrow>
1620           </m:mtd>
1621          </m:mtr>
1622          <m:mtr>
1623           <m:mtd>
1624            <m:mrow>
1625             <m:mtext>In&#x00a0;particular,&#x00a0;we&#x00a0;have</m:mtext>
1626            </m:mrow>
1627           </m:mtd>
1628          </m:mtr>
1629          <m:mtr>
1630           <m:mtd>
1631            <m:mrow>
1632             <m:mtext>(</m:mtext>
1633             <xsl:apply-templates select="*[3]"/>
1634             <m:mtext>)</m:mtext>
1635             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1636             <xsl:apply-templates select="*[4]"/>
1637             </m:mrow>
1638           </m:mtd>
1639          </m:mtr>
1640          <m:mtr>
1641           <m:mtd>
1642            <m:mrow>
1643             <m:mtext>(</m:mtext>
1644             <xsl:apply-templates select="*[5]"/>
1645             <m:mtext>)</m:mtext>
1646             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1647             <xsl:apply-templates select="*[6]"/>
1648             </m:mrow>
1649           </m:mtd>
1650          </m:mtr>
1651          <m:mtr>
1652           <m:mtd>
1653            <m:mrow>
1654             <xsl:apply-templates select="*[7]"/>
1655            </m:mrow>
1656           </m:mtd>
1657          </m:mtr>
1658         </m:mtable>
1659       </xsl:when>
1660       <!-- full_or_ind -->
1661       <xsl:when test="$name='full_or_ind'">
1662         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1663          <m:mtr>
1664           <m:mtd>
1665            <m:mrow>
1666             <xsl:choose>
1667              <xsl:when test="name(*[2])='m:apply'">
1668               <xsl:apply-templates select="*[2]"/>
1669              </xsl:when>
1670              <xsl:otherwise>
1671               <m:mtext>Consider</m:mtext>
1672               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1673               <xsl:apply-templates select="*[2]"/>
1674              </xsl:otherwise>
1675             </xsl:choose>
1676            </m:mrow>
1677           </m:mtd>
1678          </m:mtr>
1679          <m:mtr>
1680           <m:mtd>
1681            <m:mrow>
1682             <m:mtext>We&#x00a0;proceed&#x00a0;by&#x00a0;cases&#x00a0;to&#x00a0;prove</m:mtext>
1683             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1684             <xsl:apply-templates select="*[3]"/>
1685            </m:mrow>
1686           </m:mtd>
1687          </m:mtr>
1688          <m:mtr>
1689           <m:mtd>
1690            <m:mrow>
1691             <m:mtext>Left:&#x00a0;suppose</m:mtext>
1692             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1693             <m:mo stretchy="false">(</m:mo>
1694             <xsl:apply-templates select="*[4]/m:bvar/m:ci"/>
1695             <m:mo stretchy="false">)</m:mo>
1696             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1697             <xsl:apply-templates select="*[4]/m:bvar/m:type/*[1]"/>
1698            </m:mrow>
1699           </m:mtd>
1700          </m:mtr>
1701          <m:mtr>
1702           <m:mtd>
1703            <m:mrow>
1704             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1705             <xsl:apply-templates select="*[4]/*[3]"/>
1706            </m:mrow>
1707           </m:mtd>
1708          </m:mtr>
1709          <m:mtr>
1710           <m:mtd>
1711            <m:mrow>
1712             <m:mtext>Right:&#x00a0;suppose</m:mtext>
1713             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1714             <m:mo stretchy="false">(</m:mo>
1715             <xsl:apply-templates select="*[5]/m:bvar/m:ci"/>
1716             <m:mo stretchy="false">)</m:mo>
1717             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1718             <xsl:apply-templates select="*[5]/m:bvar/m:type/*[1]"/>
1719            </m:mrow>
1720           </m:mtd>
1721          </m:mtr>
1722          <m:mtr>
1723           <m:mtd>
1724            <m:mrow>
1725             <xsl:apply-templates select="*[5]/*[3]"/>
1726            </m:mrow>
1727           </m:mtd>
1728          </m:mtr>
1729         </m:mtable>
1730       </xsl:when>
1731       <!-- OR_IND -->
1732       <xsl:when test="$name='or_ind'">
1733         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1734          <m:mtr>
1735           <m:mtd>
1736            <m:mrow>
1737             <xsl:choose>
1738              <xsl:when test="name(*[2])='m:apply'">
1739               <xsl:apply-templates select="*[2]"/>
1740              </xsl:when>
1741              <xsl:otherwise>
1742               <m:mtext>Consider</m:mtext>
1743               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1744               <xsl:apply-templates select="*[2]"/>
1745              </xsl:otherwise>
1746             </xsl:choose>
1747            </m:mrow>
1748           </m:mtd>
1749          </m:mtr>
1750          <m:mtr>
1751           <m:mtd>
1752            <m:mrow>
1753             <m:mtext>We&#x00a0;prove</m:mtext>
1754             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1755             <xsl:apply-templates select="*[3]"/>
1756             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1757             <m:mtext>by&#x00a0;cases:</m:mtext>
1758            </m:mrow>
1759           </m:mtd>
1760          </m:mtr>
1761          <m:mtr>
1762           <m:mtd>
1763            <m:mrow>
1764             <m:mtext>Left</m:mtext>
1765             <xsl:apply-templates select="*[4]"/>
1766            </m:mrow>
1767           </m:mtd>
1768          </m:mtr>
1769          <m:mtr>
1770           <m:mtd>
1771            <m:mrow>
1772             <m:mtext>Right</m:mtext>
1773             <xsl:apply-templates select="*[5]"/>
1774            </m:mrow>
1775           </m:mtd>
1776          </m:mtr>
1777         </m:mtable>
1778       </xsl:when>
1779       <!-- EX_IND -->
1780       <xsl:when test="$name='ex_ind'">
1781         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1782          <m:mtr>
1783           <m:mtd>
1784            <m:mrow>
1785             <xsl:choose>
1786              <xsl:when test="name(*[2])='m:apply'">
1787               <xsl:apply-templates select="*[2]"/>
1788              </xsl:when>
1789              <xsl:otherwise>
1790               <m:mtext>Consider</m:mtext>
1791               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1792               <xsl:apply-templates select="*[2]"/>
1793              </xsl:otherwise>
1794             </xsl:choose>
1795            </m:mrow>
1796           </m:mtd>
1797          </m:mtr>
1798          <m:mtr>
1799           <m:mtd>
1800            <m:mrow>
1801             <m:mtext>Let</m:mtext>
1802             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1803             <xsl:apply-templates select="*[3]"/>
1804             <m:mtext>:</m:mtext>
1805             <xsl:apply-templates select="*[4]"/>
1806             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1807             <m:mtext>such&#x00a0;that</m:mtext>
1808             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1809             <m:mtext>(</m:mtext>
1810              <xsl:apply-templates select="*[5]"/>
1811             <m:mtext>)</m:mtext>
1812             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1813             <xsl:apply-templates select="*[6]"/>
1814            </m:mrow>
1815           </m:mtd>
1816          </m:mtr>
1817          <m:mtr>
1818           <m:mtd>
1819            <m:mrow>
1820             <xsl:apply-templates select="*[7]"/>
1821            </m:mrow>
1822           </m:mtd>
1823          </m:mtr>
1824         </m:mtable>
1825       </xsl:when>
1826       <!-- EQ_CHAIN -->
1827       <xsl:when test="$name='eq_chain'">
1828        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1829         <m:mtr>
1830          <m:mtd>
1831           <m:mrow>
1832            <m:mtext mathcolor="Red">We&#x00a0;have&#x00a0;the&#x00a0;following&#x00a0;equality&#x00a0;chain:</m:mtext>
1833           </m:mrow>
1834          </m:mtd>
1835         </m:mtr>
1836         <xsl:for-each select="*[position() mod 2 = 0]">
1837         <xsl:variable name="pos" select="position()"/>
1838         <m:mtr>
1839          <m:mtd>
1840           <m:mrow>
1841            <xsl:choose>
1842            <xsl:when test="$pos = 1">
1843             <xsl:apply-templates select="."/>
1844             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1845             <m:mo>=</m:mo>
1846            </xsl:when>
1847            <xsl:otherwise>
1848             <m:mo>=</m:mo>
1849             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1850             <xsl:apply-templates select="."/>
1851            </xsl:otherwise>
1852            </xsl:choose>
1853           </m:mrow>
1854          </m:mtd>
1855         </m:mtr>
1856         <xsl:if test="$pos != last()">
1857         <m:mtr>
1858          <m:mtd>
1859           <m:mrow>
1860            <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
1861            <xsl:apply-templates select="../*[position()=2*$pos +1]"/>
1862           </m:mrow>
1863          </m:mtd>
1864         </m:mtr>
1865         </xsl:if>
1866         </xsl:for-each>
1867        </m:mtable>
1868       </xsl:when>
1869       <!-- DISEQ_CHAIN -->
1870       <xsl:when test="$name='diseq_chain'">
1871        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1872         <m:mtr>
1873          <m:mtd>
1874           <m:mrow>
1875            <m:mtext mathcolor="Red">We&#x00a0;have&#x00a0;the&#x00a0;following&#x00a0;disequality&#x00a0;chain:</m:mtext>
1876           </m:mrow>
1877          </m:mtd>
1878         </m:mtr>
1879         <xsl:for-each select="*[position() mod 3 = 2]">
1880         <xsl:variable name="pos" select="position()"/>
1881         <m:mtr>
1882          <m:mtd>
1883           <m:mrow>
1884            <xsl:choose>
1885            <xsl:when test="$pos = 1">
1886             <xsl:apply-templates select="."/>
1887             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1888             <mo><xsl:apply-templates select="../*[position()=3*$pos]"/></mo>
1889            </xsl:when>
1890            <xsl:otherwise>
1891             <mo><xsl:apply-templates select="../*[position()=3*($pos - 1)]"/></mo>
1892             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1893             <xsl:apply-templates select="."/>
1894            </xsl:otherwise>
1895            </xsl:choose>
1896           </m:mrow>
1897          </m:mtd>
1898         </m:mtr>
1899         <xsl:if test="$pos != last()">
1900         <m:mtr>
1901          <m:mtd>
1902           <m:mrow>
1903            <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
1904            <xsl:apply-templates select="../*[position()=3*$pos +1]"/>
1905           </m:mrow>
1906          </m:mtd>
1907         </m:mtr>
1908         </xsl:if>
1909         </xsl:for-each>
1910        </m:mtable>
1911       </xsl:when>
1912       <!-- ***************************************** -->
1913       <!-- *********** NOTATIONS ******************* -->
1914       <!-- ***************************************** -->
1915       <!-- subst -->
1916       <xsl:when test="$name='subst'">
1917         <xsl:apply-templates select="*[3]"/>
1918 <!-- no font for ApplyFunction: <m:mo>&#xe8a0;</m:mo> -->
1919         <m:mo stretchy="false">[</m:mo>
1920         <xsl:apply-templates select="*[4]"/>
1921         <m:mo mathcolor="Green">
1922          <xsl:if test="$id != ''">
1923           <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1924          </xsl:if>&#8592;</m:mo>
1925         <xsl:apply-templates select="*[2]"/>
1926         <m:mo stretchy="false">]</m:mo>
1927       </xsl:when>
1928       <!-- lift -->
1929       <xsl:when test="$name='lift'">
1930         <m:msup>
1931          <m:mo mathcolor="Green">
1932           <xsl:if test="$id != ''">
1933            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1934           </xsl:if>&#8593;</m:mo>
1935          <xsl:apply-templates select="*[2]"/>
1936         </m:msup>
1937         <m:mrow>
1938          <m:mo stretchy="false">(</m:mo>
1939          <xsl:apply-templates select="*[3]"/>
1940          <m:mo stretchy="false">)</m:mo>
1941         </m:mrow>
1942       </xsl:when>
1943       <!-- lift_with_base -->
1944       <xsl:when test="$name='lift_with_base'">
1945         <m:msubsup>
1946          <m:mo mathcolor="Green">
1947           <xsl:if test="$id != ''">
1948            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1949           </xsl:if>&#8593;</m:mo>
1950          <xsl:apply-templates select="*[3]"/>
1951          <xsl:apply-templates select="*[4]"/>
1952         </m:msubsup>
1953         <m:mrow>
1954          <m:mo stretchy="false">(</m:mo>
1955          <xsl:apply-templates select="*[2]"/>
1956          <m:mo stretchy="false">)</m:mo>
1957         </m:mrow>
1958       </xsl:when>
1959       <!-- beta_red1 -->
1960       <xsl:when test="$name='beta_red1'">
1961         <xsl:apply-templates select="*[2]"/>
1962         <m:munder>
1963          <m:mo mathcolor="Green">
1964           <xsl:if test="$id != ''">
1965            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1966           </xsl:if>&#8594;</m:mo>
1967           <m:mi mathcolor="Green">&#946;</m:mi>
1968         </m:munder>
1969         <xsl:apply-templates select="*[3]"/>
1970       </xsl:when>
1971       <!-- beta_red -->
1972       <xsl:when test="$name='beta_red'">
1973         <xsl:apply-templates select="*[2]"/>
1974         <m:munderover>
1975          <m:mo mathcolor="Green">
1976           <xsl:if test="$id != ''">
1977            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1978           </xsl:if>&#8594;</m:mo>
1979           <m:mi mathcolor="Green">&#946;</m:mi>
1980           <m:mi mathcolor="Green">*</m:mi>
1981         </m:munderover>
1982         <xsl:apply-templates select="*[3]"/>
1983       </xsl:when>
1984       <!-- par_beta_red1 -->
1985       <xsl:when test="$name='par_beta_red1'">
1986         <xsl:apply-templates select="*[2]"/>
1987         <m:munder>
1988          <m:mo mathcolor="Green">
1989           <xsl:if test="$id != ''">
1990            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1991           </xsl:if>&#8658;</m:mo>
1992           <m:mi mathcolor="Green">&#946;</m:mi>
1993         </m:munder>
1994         <xsl:apply-templates select="*[3]"/>
1995       </xsl:when>
1996       <!-- par_beta_red -->
1997       <xsl:when test="$name='par_beta_red'">
1998         <xsl:apply-templates select="*[2]"/>
1999         <m:munderover>
2000          <m:mo mathcolor="Green">
2001           <xsl:if test="$id != ''">
2002            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
2003           </xsl:if>&#8658;</m:mo>
2004           <m:mi mathcolor="Green">&#946;</m:mi>
2005           <m:mi mathcolor="Green">*</m:mi>
2006         </m:munderover>
2007         <xsl:apply-templates select="*[3]"/>
2008       </xsl:when>
2009       <!-- forgetful -->
2010       <xsl:when test="$name='forgetful'">
2011        <m:mfenced open="|" close="|">
2012         <xsl:if test="$id != ''">
2013          <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
2014         </xsl:if>
2015         <xsl:apply-templates select="*[2]"/>
2016        </m:mfenced>
2017       </xsl:when>
2018       <!-- isomorphic -->
2019       <xsl:when test="$name='isomorphic'">
2020         <xsl:apply-templates select="*[2]"/>
2021         <m:mo mathcolor="Green">
2022          <xsl:if test="$id != ''">
2023           <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
2024          </xsl:if>&#8773;</m:mo>
2025         <xsl:apply-templates select="*[3]"/>
2026       </xsl:when>
2027       <!-- interp -->
2028       <xsl:when test="$name='interp'">
2029        <m:mfenced open="[" close="]">
2030         <xsl:if test="$id != ''">
2031          <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
2032         </xsl:if>
2033         <xsl:apply-templates select="*[2]"/>
2034        </m:mfenced>
2035       </xsl:when>
2036
2037       <!-- ERROR -->
2038       <xsl:otherwise>
2039        <m:mi>ERROR(&quot;<xsl:value-of select="$name"/>&quot;)</m:mi>
2040       </xsl:otherwise>
2041      </xsl:choose>
2042     </m:mrow>
2043 </xsl:template>
2044
2045 <!-- Il modo Thread non esiste piu'
2046 <xsl:template match="*" mode="thread">
2047  <xsl:variable name="name"><xsl:value-of select="following-sibling::*[position()=1]/m:csymbol"/></xsl:variable>
2048  <xsl:choose>
2049   <xsl:when test="$name='rw_step'">
2050          <m:mtr>
2051           <m:mtd>
2052            <m:mrow>
2053             <m:mtext>Rewrite</m:mtext>
2054             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2055             <xsl:apply-templates select="following-sibling::*[position()=1]/*[2]"/>
2056             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2057             <m:mtext>with</m:mtext>
2058             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2059             <xsl:apply-templates select="following-sibling::*[position()=1]/*[3]"/>
2060             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2061             <m:mtext>by</m:mtext>
2062             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2063             <xsl:apply-templates select="following-sibling::*[position()=1]/*[4]"/>
2064            </m:mrow>
2065           </m:mtd>
2066          </m:mtr>
2067          <m:mtr>
2068           <m:mtd>
2069            <m:mrow>
2070             <m:mtext mathcolor="Red">we&#x00a0;get</m:mtext>
2071             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2072             <xsl:apply-templates select="."/>
2073            </m:mrow>
2074           </m:mtd>
2075          </m:mtr>
2076    </xsl:when>
2077    <xsl:otherwise>
2078          <m:mtr>
2079           <m:mtd>
2080            <m:mrow>
2081             <xsl:apply-templates select="following-sibling::*[position()=1]"/>
2082            </m:mrow>
2083           </m:mtd>
2084          </m:mtr>
2085          <m:mtr>
2086           <m:mtd>
2087            <m:mrow>
2088             <m:mtext mathcolor="Red">we&#x00a0;get</m:mtext>
2089             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2090             <xsl:apply-templates select="."/>
2091            </m:mrow>
2092           </m:mtd>
2093          </m:mtr>
2094     </xsl:otherwise>
2095    </xsl:choose>
2096          <xsl:apply-templates mode="thread" select="preceding-sibling::*[position()=2]"/>
2097 </xsl:template>
2098 -->
2099
2100 <!-- LAMBDA -->
2101
2102 <xsl:template match="m:lambda">
2103     <xsl:variable name="charlength"><xsl:apply-templates select="*[position()=1]" mode="charcount"/></xsl:variable>
2104     <m:mrow>
2105      <xsl:if test="@id">
2106       <xsl:attribute name="xref">
2107        <xsl:value-of select="@id"/>
2108       </xsl:attribute>
2109      </xsl:if>
2110      <xsl:choose>
2111      <xsl:when test="$charlength >= $framewidth">
2112       <m:mtable align="baseline 1" equalrows="false" columnalign="left">
2113         <m:mtr>
2114           <m:mtd>
2115            <m:mrow>
2116             <m:mo mathcolor="Red">&#x03bb;</m:mo>
2117             <xsl:apply-templates select="m:bvar"/>
2118            </m:mrow>
2119           </m:mtd>
2120          </m:mtr>
2121        <m:mtr>
2122         <m:mtd>
2123          <m:mrow>
2124           <m:mo>.</m:mo>
2125           <xsl:apply-templates select="*[position()=2]"/>
2126          </m:mrow>
2127         </m:mtd>
2128        </m:mtr>
2129       </m:mtable>
2130      </xsl:when>
2131      <xsl:otherwise>
2132       <m:mo mathcolor="Red">&#x03bb;</m:mo>
2133       <xsl:apply-templates select="m:bvar/m:ci"/>
2134       <m:mo>:</m:mo>
2135       <xsl:apply-templates select="m:bvar/m:type"/>
2136       <m:mo>.</m:mo>
2137       <xsl:apply-templates select="*[position()=2]"/>
2138      </xsl:otherwise>
2139      </xsl:choose>
2140     </m:mrow>
2141 </xsl:template>
2142
2143
2144 <!--**********************-->
2145 <!--       COUNTING       -->
2146 <!--**********************-->
2147
2148 <xsl:template match="m:cn|m:and|m:or|m:not|m:exists|m:eq|m:lt|m:leq|m:gt|m:geq
2149  |m:in|m:notin|m:intersect|m:union|m:subset|m:prsubset|m:card|m:setdiff
2150  |m:plus|m:minus|m:times" mode="charcount">
2151 <xsl:param name="incurrent_length" select="0"/>
2152     <xsl:choose>
2153     <xsl:when test="$framewidth > ($incurrent_length + 3 + string-length())">
2154      <xsl:variable name="siblength">
2155       <xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount">
2156        <xsl:with-param name="incurrent_length" select="$incurrent_length + string-length()"/>
2157       </xsl:apply-templates>
2158      </xsl:variable>
2159      <xsl:choose>
2160      <xsl:when test="string($siblength) = &quot;&quot;">
2161       <xsl:value-of select="$incurrent_length + 3 + string-length()"/>
2162      </xsl:when>
2163      <xsl:otherwise>
2164       <xsl:value-of select="number($siblength)"/>
2165      </xsl:otherwise>
2166      </xsl:choose>
2167     </xsl:when>
2168     <xsl:otherwise>
2169      <xsl:value-of select="$incurrent_length + 3 + string-length()"/>
2170     </xsl:otherwise>
2171     </xsl:choose>
2172 </xsl:template>
2173
2174 <xsl:template match="m:ci|m:csymbol" mode="charcount">
2175 <xsl:param name="incurrent_length" select="0"/>
2176 <xsl:param name="nosibling" select="0"/>
2177     <xsl:choose>
2178     <xsl:when test="$framewidth > ($incurrent_length + string-length()) and ($nosibling = 0)">
2179      <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length + string-length()"/></xsl:apply-templates></xsl:variable>
2180      <xsl:choose>
2181      <xsl:when test="string($siblength) = &quot;&quot;">
2182       <xsl:value-of select="$incurrent_length + string-length()"/>
2183      </xsl:when>
2184      <xsl:otherwise>
2185       <xsl:value-of select="number($siblength)"/>
2186      </xsl:otherwise>
2187      </xsl:choose>
2188     </xsl:when>
2189     <xsl:otherwise>
2190      <xsl:value-of select="$incurrent_length + string-length()"/>
2191     </xsl:otherwise>
2192     </xsl:choose>
2193 </xsl:template>
2194
2195 <xsl:template match="*" mode="charcount">
2196 <xsl:param name="incurrent_length" select="0"/>
2197 <xsl:param name="nosibling" select="0"/>
2198  <xsl:choose>
2199   <xsl:when test="count(child::*) = 0">
2200    <!-- tremendous bug fixed. An empty element can still have siblings!!! -->
2201    <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length"/></xsl:apply-templates></xsl:variable>
2202    <xsl:choose>
2203     <xsl:when test="string($siblength) = &quot;&quot;">
2204      <xsl:value-of select="$incurrent_length"/>
2205     </xsl:when>
2206     <xsl:otherwise>
2207       <xsl:value-of select="number($siblength)"/>
2208     </xsl:otherwise>
2209    </xsl:choose>
2210   </xsl:when>
2211   <xsl:otherwise>
2212     <xsl:variable name="childlength"><xsl:apply-templates select="*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length"/><xsl:with-param name="nosibling" select="0"/></xsl:apply-templates></xsl:variable>
2213     <xsl:choose>
2214     <xsl:when test="$framewidth > number($childlength) and ($nosibling = 0)">
2215      <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$childlength"/></xsl:apply-templates></xsl:variable>
2216      <xsl:choose>
2217      <xsl:when test="string($siblength) = &quot;&quot;">
2218       <xsl:value-of select="number($childlength)"/>
2219      </xsl:when>
2220      <xsl:otherwise>
2221       <xsl:value-of select="number($siblength)"/>
2222      </xsl:otherwise>
2223      </xsl:choose>
2224     </xsl:when>
2225     <xsl:otherwise>
2226      <xsl:value-of select="number($childlength)"/>
2227     </xsl:otherwise>
2228     </xsl:choose>
2229   </xsl:otherwise>
2230  </xsl:choose>
2231 </xsl:template>
2232
2233 </xsl:stylesheet>
2234