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="@definitionURL">
1112          <xsl:attribute name="helm:xref" value="{@helm:xref}"/>
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:if test="name()='m:ci'">
1118           <a href="{@definitionURL}">
1119            <xsl:apply-templates/>
1120           </a>
1121          </xsl:if>
1122          <m:mo stretchy="false">:=</m:mo>
1123          <xsl:apply-templates select="following-sibling::*[position() = 1]"/>
1124         </xsl:for-each>
1125         <m:mo stretchy="false">}</m:mo>
1126        </m:mrow>
1127       </xsl:when>
1128       <!-- ***************************************** -->
1129       <!-- *********** PROOF ELEMENTS ************** -->
1130       <!-- ***************************************** -->
1131       <!-- PROOF -->
1132       <xsl:when test="$name='proof'">
1133         <!-- CSC: $explodeall until the annotationHelper can handle mactions -->
1134         <xsl:variable name="test" select="(not($explodeall)) and
1135            (not(preceding-sibling::*[1]/text()='letin1')) and
1136            (not(preceding-sibling::*[1]/text()='rw_step')) and
1137            (not(name(..)='m:lambda'))"/>
1138         <xsl:variable name="hidden_details">
1139          <xsl:if test="$test">
1140           <!-- Details hided (default) -->
1141           <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1142            <m:mtr>
1143             <m:mtd>
1144              <m:mrow>
1145               <m:mtext mathcolor="Red">We&#x00a0;can&#x00a0;prove</m:mtext>
1146               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1147               <!-- the last child is either the expected type, if provided,-->
1148               <!-- or the synthesized type.                                -->
1149               <xsl:apply-templates select="*[position()=last()]"/>
1150               <m:mrow>
1151                <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1152                <m:mtext mathcolor="Green">(explain)</m:mtext>
1153               </m:mrow>
1154              </m:mrow>
1155             </m:mtd>
1156            </m:mtr>
1157           </m:mtable>
1158          </xsl:if>
1159         </xsl:variable>
1160         <xsl:variable name="shown_details">
1161          <!-- Show details -->
1162          <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1163           <m:mtr>
1164            <m:mtd>
1165             <m:mrow>
1166              <xsl:apply-templates select="*[position()=2]"/>
1167             </m:mrow>
1168            </m:mtd>
1169           </m:mtr>
1170           <xsl:variable name="hidedetails">
1171             <m:mrow>
1172              <m:mphantom>
1173               <m:mtext>_</m:mtext>
1174              </m:mphantom>
1175              <xsl:if test="$test">
1176               <m:mtext mathcolor="Green">(hide&#x00a0;details)</m:mtext>
1177              </xsl:if>
1178             </m:mrow>
1179           </xsl:variable>
1180           <m:mtr>
1181            <m:mtd>
1182             <m:mrow>
1183              <m:mtext mathcolor="Red">we&#x00a0;proved</m:mtext>
1184              <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1185              <xsl:apply-templates select="*[position()=3]"/>
1186              <xsl:if test="not(*[4])">
1187               <xsl:copy-of select="$hidedetails"/>
1188              </xsl:if>
1189             </m:mrow>
1190            </m:mtd>
1191           </m:mtr>
1192           <xsl:if test="*[4]">
1193            <m:mtr>
1194             <m:mtd>
1195              <m:mrow>
1196               <m:mtext mathcolor="Red">that&#x00a0;is&#x00a0;equivalent&#x00a0;to</m:mtext>
1197               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1198               <xsl:apply-templates select="*[position()=4]"/>
1199               <xsl:copy-of select="$hidedetails"/>
1200              </m:mrow>
1201             </m:mtd>
1202            </m:mtr>
1203           </xsl:if>
1204          </m:mtable>
1205         </xsl:variable>
1206         <xsl:choose>
1207          <xsl:when test="$test">
1208           <m:maction actiontype="toggle">
1209            <xsl:copy-of select="$hidden_details"/>
1210            <xsl:copy-of select="$shown_details"/>
1211           </m:maction>
1212          </xsl:when>
1213          <xsl:otherwise>
1214           <xsl:copy-of select="$shown_details"/>
1215          </xsl:otherwise>
1216         </xsl:choose>
1217       </xsl:when>
1218       <!-- SIDE_PROOF -->
1219       <xsl:when test="$name='side_proof'">
1220         <xsl:variable name="test" select="(not($explodeall))"/>
1221         <xsl:variable name="hidden_details">
1222          <xsl:if test="$test">
1223           <!-- Details hided (default) -->
1224           <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1225            <m:mtr>
1226             <m:mtd>
1227              <m:mrow>
1228               <m:mtext mathcolor="Red">We&#x00a0;can&#x00a0;prove</m:mtext>
1229               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1230               <!-- the last child is either the expected type, if provided,-->
1231               <!-- or the synthesized type.                                -->
1232               <xsl:apply-templates select="*[position()=last()]"/>
1233               <m:mrow>
1234                <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1235                <m:mtext mathcolor="Green">(explain)</m:mtext>
1236               </m:mrow>
1237              </m:mrow>
1238             </m:mtd>
1239            </m:mtr>
1240           </m:mtable>
1241          </xsl:if>
1242         </xsl:variable>
1243         <xsl:variable name="shown_details">
1244          <!-- Show details -->
1245          <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1246           <m:mtr>
1247            <m:mtd>
1248             <m:mrow>
1249              <xsl:apply-templates select="*[position()=2]"/>
1250             </m:mrow>
1251            </m:mtd>
1252           </m:mtr>
1253           <xsl:variable name="hidedetails">
1254             <m:mrow>
1255              <m:mphantom>
1256               <m:mtext>_</m:mtext>
1257              </m:mphantom>
1258              <xsl:if test="$test">
1259               <m:mtext mathcolor="Green">(hide&#x00a0;details)</m:mtext>
1260              </xsl:if>
1261             </m:mrow>
1262           </xsl:variable>
1263           <m:mtr>
1264            <m:mtd>
1265             <m:mrow>
1266              <m:mtext mathcolor="Red">we&#x00a0;proved</m:mtext>
1267              <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1268              <xsl:apply-templates select="*[position()=3]"/>
1269              <xsl:if test="not(*[4])">
1270               <xsl:copy-of select="$hidedetails"/>
1271              </xsl:if>
1272             </m:mrow>
1273            </m:mtd>
1274           </m:mtr>
1275           <xsl:if test="*[4]">
1276            <m:mtr>
1277             <m:mtd>
1278              <m:mrow>
1279               <m:mtext mathcolor="Red">that&#x00a0;is&#x00a0;equivalent&#x00a0;to</m:mtext>
1280               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1281               <xsl:apply-templates select="*[position()=4]"/>
1282               <xsl:copy-of select="$hidedetails"/>
1283              </m:mrow>
1284             </m:mtd>
1285            </m:mtr>
1286           </xsl:if>
1287          </m:mtable>
1288         </xsl:variable>
1289         <xsl:choose>
1290          <xsl:when test="$test">
1291           <m:maction actiontype="toggle">
1292            <xsl:copy-of select="$hidden_details"/>
1293            <xsl:copy-of select="$shown_details"/>
1294           </m:maction>
1295          </xsl:when>
1296          <xsl:otherwise>
1297           <xsl:copy-of select="$shown_details"/>
1298          </xsl:otherwise>
1299         </xsl:choose>
1300       </xsl:when>
1301       <!-- LETIN1 -->
1302       <xsl:when test="$name='letin1'">
1303         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1304          <m:mtr>
1305           <m:mtd>
1306            <m:mrow>
1307             <xsl:apply-templates select="*[position()=2]"/>
1308            </m:mrow>
1309           </m:mtd>
1310          </m:mtr>
1311          <m:mtr>
1312           <m:mtd>
1313            <m:mrow>
1314             <xsl:apply-templates select="*[position()=3]"/>
1315            </m:mrow>
1316           </m:mtd>
1317          </m:mtr>
1318         </m:mtable>
1319       </xsl:when>
1320       <xsl:when test="$name='by_induction'">
1321        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1322         <m:mtr>
1323          <m:mtd>
1324           <m:mrow>
1325            <m:mtext mathcolor="Red">We&#x00a0;prove</m:mtext>
1326            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1327            <xsl:apply-templates select="../*[3]"/>
1328           </m:mrow>
1329          </m:mtd>
1330         </m:mtr>
1331         <m:mtr>
1332          <m:mtd>
1333           <m:mrow>
1334            <m:mtext mathcolor="Red">by&#x00a0;induction&#x00a0;on</m:mtext>
1335            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1336            <xsl:apply-templates
1337             select="*[position()=last()]/*[position()=last()]"/>
1338           </m:mrow>
1339          </m:mtd>
1340         </m:mtr>
1341         <m:mtr>
1342          <m:mtd>
1343           <m:mrow>
1344            <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1345             <xsl:for-each select="*[position()>3 and not(position()=last())]">
1346              <m:mtr>
1347               <m:mtd>
1348                <m:mrow>
1349                 <xsl:apply-templates select="."/>
1350                </m:mrow>
1351               </m:mtd>
1352              </m:mtr>
1353             </xsl:for-each>
1354            </m:mtable>
1355           </m:mrow>
1356          </m:mtd>
1357         </m:mtr>
1358        </m:mtable>
1359       </xsl:when>
1360       <!-- inductive_case -->
1361       <xsl:when test="$name='inductive_case'">
1362        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1363         <m:mtr>
1364          <m:mtd>
1365           <m:mrow>
1366            <m:mtext mathcolor="Red">Case</m:mtext>
1367            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1368            <xsl:apply-templates select="*[2]"/>
1369           </m:mrow>
1370          </m:mtd>
1371         </m:mtr>
1372         <m:mtr>
1373          <m:mtd>
1374           <m:mrow>
1375            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1376            <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1377             <xsl:if test="*[3]/*[position()>1]">
1378              <m:mtr>
1379               <m:mtd>
1380                <m:mrow>
1381                 <m:mtext mathcolor="Red">By&#x00a0;induction&#x00a0;hypothesis,&#x00a0;we&#x00a0;have:</m:mtext>
1382                </m:mrow>
1383               </m:mtd>
1384              </m:mtr>
1385              <m:mtr>
1386               <m:mtd>
1387                <m:mrow>
1388                 <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1389                 <xsl:for-each select="*[3]/*[position()>1]">
1390                  <m:mo stretchy="false">(</m:mo>
1391                  <xsl:apply-templates select="m:ci"/>
1392                  <m:mo stretchy="false">) </m:mo>
1393                  <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1394                  <xsl:apply-templates select="m:type"/>
1395                 </xsl:for-each>
1396                </m:mrow>
1397               </m:mtd>
1398              </m:mtr>
1399             </xsl:if>
1400             <m:mtr>
1401              <m:mtd>
1402               <m:mrow>
1403                <xsl:apply-templates select="*[4]"/>
1404               </m:mrow>
1405              </m:mtd>
1406             </m:mtr>
1407            </m:mtable>
1408           </m:mrow>
1409          </m:mtd>
1410         </m:mtr>
1411        </m:mtable>
1412       </xsl:when>
1413       <!-- case_lhs  -->
1414       <xsl:when test="$name='case_lhs'">
1415        <m:mrow>
1416         <xsl:choose>
1417          <xsl:when test="count(*)=2">
1418           <xsl:apply-templates select="*[2]"/>
1419          </xsl:when>
1420          <xsl:otherwise>
1421           <m:mo stretchy="false">(</m:mo>
1422           <xsl:apply-templates select="*[2]"/>
1423           <xsl:for-each select="m:bvar">
1424            <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1425            <xsl:apply-templates select="*[1]"/>
1426            <m:mtext>:</m:mtext>
1427            <xsl:apply-templates select="m:type/*[1]"/>
1428           </xsl:for-each>
1429           <m:mo stretchy="false">)</m:mo>
1430          </xsl:otherwise>
1431         </xsl:choose>
1432        </m:mrow>
1433       </xsl:when>
1434       <!-- false_ind  -->
1435       <xsl:when test="$name='false_ind'">
1436        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1437         <m:mtr>
1438          <m:mtd>
1439           <m:mrow>
1440            <xsl:apply-templates select="*[3]"/>
1441           </m:mrow>
1442          </m:mtd>
1443         </m:mtr>
1444         <m:mtr>
1445          <m:mtd>
1446           <m:mrow>
1447            <m:mtext mathcolor="Red">Contradiction.</m:mtext>
1448           </m:mrow>
1449          </m:mtd>
1450         </m:mtr>
1451        </m:mtable>
1452       </xsl:when>
1453       <!-- LET-IN -->
1454       <xsl:when test="$name='letin'">
1455         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1456          <!-- <xsl:for-each select="APPLY[m:csymbol and (string(m:csymbol)='let')]"> -->
1457          <xsl:for-each select="*[(last() > position()) and (position()>1)]">
1458          <m:mtr>
1459           <m:mtd>
1460            <m:mrow>
1461             <xsl:apply-templates select="."/>
1462            </m:mrow>
1463           </m:mtd>
1464          </m:mtr>
1465          </xsl:for-each>
1466          <m:mtr>
1467           <m:mtd>
1468            <m:mrow>
1469             <xsl:apply-templates select="*[position()=last()]"/>
1470            </m:mrow>
1471           </m:mtd>
1472          </m:mtr>
1473         </m:mtable>
1474       </xsl:when>
1475       <!-- LET -->
1476       <xsl:when test="$name='let'">
1477        <m:mtext>(</m:mtext>
1478        <xsl:apply-templates select="m:ci"/>
1479        <m:mtext>) </m:mtext>
1480        <xsl:apply-templates select="*[3]"/>
1481       </xsl:when>
1482       <!-- RW_STEP -->
1483       <xsl:when test="$name='rw_step'">
1484         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1485          <m:mtr>
1486           <m:mtd>
1487            <m:mrow>
1488             <xsl:choose>
1489              <xsl:when test="name(*[2])='m:apply'">
1490               <xsl:apply-templates select="*[2]"/>
1491              </xsl:when>
1492              <xsl:otherwise>
1493               <m:mtext>Consider</m:mtext>
1494               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1495               <xsl:apply-templates select="*[2]"/>
1496              </xsl:otherwise>
1497             </xsl:choose>
1498            </m:mrow>
1499           </m:mtd>
1500          </m:mtr>
1501          <m:mtr>
1502           <m:mtd>
1503            <m:mrow>
1504             <m:mtext>Rewrite</m:mtext>
1505             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1506             <xsl:apply-templates select="*[3]"/>
1507             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1508             <m:mtext>with</m:mtext>
1509             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1510             <xsl:apply-templates select="*[4]"/>
1511             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1512             <m:mtext>by</m:mtext>
1513             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1514             <xsl:apply-templates select="*[5]"/>
1515            </m:mrow>
1516           </m:mtd>
1517          </m:mtr>
1518         </m:mtable>
1519       </xsl:when>
1520       <!-- not existing any more
1521       <xsl:when test="$name='thread'">
1522         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1523          <m:mtr>
1524           <m:mtd>
1525            <m:mrow>
1526             <xsl:choose>
1527              <xsl:when test="name(*[last()])='m:apply'">
1528               <xsl:apply-templates select="*[last()]"/>
1529              </xsl:when>
1530              <xsl:otherwise>
1531               <m:mtext>Consider</m:mtext>
1532               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1533               <xsl:apply-templates select="*[last()]"/>
1534              </xsl:otherwise>
1535             </xsl:choose>
1536            </m:mrow>
1537           </m:mtd>
1538          </m:mtr>
1539          <xsl:apply-templates mode="thread" select="*[(last()-2)]"/>
1540         </m:mtable>
1541       </xsl:when>
1542       -->
1543       <!-- REWRITE_AND_APPLY -->
1544       <xsl:when test="$name='rewrite_and_apply'">
1545         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1546          <m:mtr>
1547           <m:mtd>
1548            <m:mrow>
1549             <xsl:apply-templates select="*[2]"/>
1550            </m:mrow>
1551           </m:mtd>
1552          </m:mtr>
1553          <m:mtr>
1554           <m:mtd>
1555            <m:mrow>
1556             <m:mtext>Then&#x00a0;apply&#x00a0;it&#x00a0;to</m:mtext>
1557             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1558             <xsl:apply-templates select="*[position()>2]"/>
1559            </m:mrow>
1560           </m:mtd>
1561          </m:mtr>
1562        </m:mtable>
1563       </xsl:when>
1564       <!-- AND_IND -->
1565       <xsl:when test="$name='and_ind'">
1566         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1567          <m:mtr>
1568           <m:mtd>
1569            <m:mrow>
1570             <xsl:choose>
1571              <xsl:when test="name(*[2])='m:apply'">
1572               <xsl:apply-templates select="*[2]"/>
1573              </xsl:when>
1574              <xsl:otherwise>
1575               <m:mtext>Consider</m:mtext>
1576               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1577               <xsl:apply-templates select="*[2]"/>
1578              </xsl:otherwise>
1579             </xsl:choose>
1580            </m:mrow>
1581           </m:mtd>
1582          </m:mtr>
1583          <m:mtr>
1584           <m:mtd>
1585            <m:mrow>
1586             <m:mtext>In&#x00a0;particular,&#x00a0;we&#x00a0;have</m:mtext>
1587            </m:mrow>
1588           </m:mtd>
1589          </m:mtr>
1590          <m:mtr>
1591           <m:mtd>
1592            <m:mrow>
1593             <m:mtext>(</m:mtext>
1594             <xsl:apply-templates select="*[3]"/>
1595             <m:mtext>)</m:mtext>
1596             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1597             <xsl:apply-templates select="*[4]"/>
1598             </m:mrow>
1599           </m:mtd>
1600          </m:mtr>
1601          <m:mtr>
1602           <m:mtd>
1603            <m:mrow>
1604             <m:mtext>(</m:mtext>
1605             <xsl:apply-templates select="*[5]"/>
1606             <m:mtext>)</m:mtext>
1607             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1608             <xsl:apply-templates select="*[6]"/>
1609             </m:mrow>
1610           </m:mtd>
1611          </m:mtr>
1612          <m:mtr>
1613           <m:mtd>
1614            <m:mrow>
1615             <xsl:apply-templates select="*[7]"/>
1616            </m:mrow>
1617           </m:mtd>
1618          </m:mtr>
1619         </m:mtable>
1620       </xsl:when>
1621       <!-- full_or_ind -->
1622       <xsl:when test="$name='full_or_ind'">
1623         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1624          <m:mtr>
1625           <m:mtd>
1626            <m:mrow>
1627             <xsl:choose>
1628              <xsl:when test="name(*[2])='m:apply'">
1629               <xsl:apply-templates select="*[2]"/>
1630              </xsl:when>
1631              <xsl:otherwise>
1632               <m:mtext>Consider</m:mtext>
1633               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1634               <xsl:apply-templates select="*[2]"/>
1635              </xsl:otherwise>
1636             </xsl:choose>
1637            </m:mrow>
1638           </m:mtd>
1639          </m:mtr>
1640          <m:mtr>
1641           <m:mtd>
1642            <m:mrow>
1643             <m:mtext>We&#x00a0;proceed&#x00a0;by&#x00a0;cases&#x00a0;to&#x00a0;prove</m:mtext>
1644             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1645             <xsl:apply-templates select="*[3]"/>
1646            </m:mrow>
1647           </m:mtd>
1648          </m:mtr>
1649          <m:mtr>
1650           <m:mtd>
1651            <m:mrow>
1652             <m:mtext>Left:&#x00a0;suppose</m:mtext>
1653             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1654             <m:mo stretchy="false">(</m:mo>
1655             <xsl:apply-templates select="*[4]/m:bvar/m:ci"/>
1656             <m:mo stretchy="false">)</m:mo>
1657             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1658             <xsl:apply-templates select="*[4]/m:bvar/m:type/*[1]"/>
1659            </m:mrow>
1660           </m:mtd>
1661          </m:mtr>
1662          <m:mtr>
1663           <m:mtd>
1664            <m:mrow>
1665             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1666             <xsl:apply-templates select="*[4]/*[3]"/>
1667            </m:mrow>
1668           </m:mtd>
1669          </m:mtr>
1670          <m:mtr>
1671           <m:mtd>
1672            <m:mrow>
1673             <m:mtext>Right:&#x00a0;suppose</m:mtext>
1674             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1675             <m:mo stretchy="false">(</m:mo>
1676             <xsl:apply-templates select="*[5]/m:bvar/m:ci"/>
1677             <m:mo stretchy="false">)</m:mo>
1678             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1679             <xsl:apply-templates select="*[5]/m:bvar/m:type/*[1]"/>
1680            </m:mrow>
1681           </m:mtd>
1682          </m:mtr>
1683          <m:mtr>
1684           <m:mtd>
1685            <m:mrow>
1686             <xsl:apply-templates select="*[5]/*[3]"/>
1687            </m:mrow>
1688           </m:mtd>
1689          </m:mtr>
1690         </m:mtable>
1691       </xsl:when>
1692       <!-- OR_IND -->
1693       <xsl:when test="$name='or_ind'">
1694         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1695          <m:mtr>
1696           <m:mtd>
1697            <m:mrow>
1698             <xsl:choose>
1699              <xsl:when test="name(*[2])='m:apply'">
1700               <xsl:apply-templates select="*[2]"/>
1701              </xsl:when>
1702              <xsl:otherwise>
1703               <m:mtext>Consider</m:mtext>
1704               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1705               <xsl:apply-templates select="*[2]"/>
1706              </xsl:otherwise>
1707             </xsl:choose>
1708            </m:mrow>
1709           </m:mtd>
1710          </m:mtr>
1711          <m:mtr>
1712           <m:mtd>
1713            <m:mrow>
1714             <m:mtext>We&#x00a0;prove</m:mtext>
1715             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1716             <xsl:apply-templates select="*[3]"/>
1717             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1718             <m:mtext>by&#x00a0;cases:</m:mtext>
1719            </m:mrow>
1720           </m:mtd>
1721          </m:mtr>
1722          <m:mtr>
1723           <m:mtd>
1724            <m:mrow>
1725             <m:mtext>Left</m:mtext>
1726             <xsl:apply-templates select="*[4]"/>
1727            </m:mrow>
1728           </m:mtd>
1729          </m:mtr>
1730          <m:mtr>
1731           <m:mtd>
1732            <m:mrow>
1733             <m:mtext>Right</m:mtext>
1734             <xsl:apply-templates select="*[5]"/>
1735            </m:mrow>
1736           </m:mtd>
1737          </m:mtr>
1738         </m:mtable>
1739       </xsl:when>
1740       <!-- EX_IND -->
1741       <xsl:when test="$name='ex_ind'">
1742         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1743          <m:mtr>
1744           <m:mtd>
1745            <m:mrow>
1746             <xsl:choose>
1747              <xsl:when test="name(*[2])='m:apply'">
1748               <xsl:apply-templates select="*[2]"/>
1749              </xsl:when>
1750              <xsl:otherwise>
1751               <m:mtext>Consider</m:mtext>
1752               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1753               <xsl:apply-templates select="*[2]"/>
1754              </xsl:otherwise>
1755             </xsl:choose>
1756            </m:mrow>
1757           </m:mtd>
1758          </m:mtr>
1759          <m:mtr>
1760           <m:mtd>
1761            <m:mrow>
1762             <m:mtext>Let</m:mtext>
1763             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1764             <xsl:apply-templates select="*[3]"/>
1765             <m:mtext>:</m:mtext>
1766             <xsl:apply-templates select="*[4]"/>
1767             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1768             <m:mtext>such&#x00a0;that</m:mtext>
1769             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1770             <m:mtext>(</m:mtext>
1771              <xsl:apply-templates select="*[5]"/>
1772             <m:mtext>)</m:mtext>
1773             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1774             <xsl:apply-templates select="*[6]"/>
1775            </m:mrow>
1776           </m:mtd>
1777          </m:mtr>
1778          <m:mtr>
1779           <m:mtd>
1780            <m:mrow>
1781             <xsl:apply-templates select="*[7]"/>
1782            </m:mrow>
1783           </m:mtd>
1784          </m:mtr>
1785         </m:mtable>
1786       </xsl:when>
1787       <!-- EQ_CHAIN -->
1788       <xsl:when test="$name='eq_chain'">
1789        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1790         <m:mtr>
1791          <m:mtd>
1792           <m:mrow>
1793            <m:mtext mathcolor="Red">We&#x00a0;have&#x00a0;the&#x00a0;following&#x00a0;equality&#x00a0;chain:</m:mtext>
1794           </m:mrow>
1795          </m:mtd>
1796         </m:mtr>
1797         <xsl:for-each select="*[position() mod 2 = 0]">
1798         <xsl:variable name="pos" select="position()"/>
1799         <m:mtr>
1800          <m:mtd>
1801           <m:mrow>
1802            <xsl:choose>
1803            <xsl:when test="$pos = 1">
1804             <xsl:apply-templates select="."/>
1805             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1806             <m:mo>=</m:mo>
1807            </xsl:when>
1808            <xsl:otherwise>
1809             <m:mo>=</m:mo>
1810             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1811             <xsl:apply-templates select="."/>
1812            </xsl:otherwise>
1813            </xsl:choose>
1814           </m:mrow>
1815          </m:mtd>
1816         </m:mtr>
1817         <xsl:if test="$pos != last()">
1818         <m:mtr>
1819          <m:mtd>
1820           <m:mrow>
1821            <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
1822            <xsl:apply-templates select="../*[position()=2*$pos +1]"/>
1823           </m:mrow>
1824          </m:mtd>
1825         </m:mtr>
1826         </xsl:if>
1827         </xsl:for-each>
1828        </m:mtable>
1829       </xsl:when>
1830       <!-- DISEQ_CHAIN -->
1831       <xsl:when test="$name='diseq_chain'">
1832        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1833         <m:mtr>
1834          <m:mtd>
1835           <m:mrow>
1836            <m:mtext mathcolor="Red">We&#x00a0;have&#x00a0;the&#x00a0;following&#x00a0;disequality&#x00a0;chain:</m:mtext>
1837           </m:mrow>
1838          </m:mtd>
1839         </m:mtr>
1840         <xsl:for-each select="*[position() mod 3 = 2]">
1841         <xsl:variable name="pos" select="position()"/>
1842         <m:mtr>
1843          <m:mtd>
1844           <m:mrow>
1845            <xsl:choose>
1846            <xsl:when test="$pos = 1">
1847             <xsl:apply-templates select="."/>
1848             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1849             <mo><xsl:apply-templates select="../*[position()=3*$pos]"/></mo>
1850            </xsl:when>
1851            <xsl:otherwise>
1852             <mo><xsl:apply-templates select="../*[position()=3*($pos - 1)]"/></mo>
1853             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1854             <xsl:apply-templates select="."/>
1855            </xsl:otherwise>
1856            </xsl:choose>
1857           </m:mrow>
1858          </m:mtd>
1859         </m:mtr>
1860         <xsl:if test="$pos != last()">
1861         <m:mtr>
1862          <m:mtd>
1863           <m:mrow>
1864            <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
1865            <xsl:apply-templates select="../*[position()=3*$pos +1]"/>
1866           </m:mrow>
1867          </m:mtd>
1868         </m:mtr>
1869         </xsl:if>
1870         </xsl:for-each>
1871        </m:mtable>
1872       </xsl:when>
1873       <!-- ***************************************** -->
1874       <!-- *********** NOTATIONS ******************* -->
1875       <!-- ***************************************** -->
1876       <!-- subst -->
1877       <xsl:when test="$name='subst'">
1878         <xsl:apply-templates select="*[3]"/>
1879 <!-- no font for ApplyFunction: <m:mo>&#xe8a0;</m:mo> -->
1880         <m:mo stretchy="false">[</m:mo>
1881         <xsl:apply-templates select="*[4]"/>
1882         <m:mo mathcolor="Green">
1883          <xsl:if test="$id != ''">
1884           <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1885          </xsl:if>&#8592;</m:mo>
1886         <xsl:apply-templates select="*[2]"/>
1887         <m:mo stretchy="false">]</m:mo>
1888       </xsl:when>
1889       <!-- lift -->
1890       <xsl:when test="$name='lift'">
1891         <m:msup>
1892          <m:mo mathcolor="Green">
1893           <xsl:if test="$id != ''">
1894            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1895           </xsl:if>&#8593;</m:mo>
1896          <xsl:apply-templates select="*[2]"/>
1897         </m:msup>
1898         <m:mrow>
1899          <m:mo stretchy="false">(</m:mo>
1900          <xsl:apply-templates select="*[3]"/>
1901          <m:mo stretchy="false">)</m:mo>
1902         </m:mrow>
1903       </xsl:when>
1904       <!-- lift_with_base -->
1905       <xsl:when test="$name='lift_with_base'">
1906         <m:msubsup>
1907          <m:mo mathcolor="Green">
1908           <xsl:if test="$id != ''">
1909            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1910           </xsl:if>&#8593;</m:mo>
1911          <xsl:apply-templates select="*[3]"/>
1912          <xsl:apply-templates select="*[4]"/>
1913         </m:msubsup>
1914         <m:mrow>
1915          <m:mo stretchy="false">(</m:mo>
1916          <xsl:apply-templates select="*[2]"/>
1917          <m:mo stretchy="false">)</m:mo>
1918         </m:mrow>
1919       </xsl:when>
1920       <!-- beta_red1 -->
1921       <xsl:when test="$name='beta_red1'">
1922         <xsl:apply-templates select="*[2]"/>
1923         <m:munder>
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>&#8594;</m:mo>
1928           <m:mi mathcolor="Green">&#946;</m:mi>
1929         </m:munder>
1930         <xsl:apply-templates select="*[3]"/>
1931       </xsl:when>
1932       <!-- beta_red -->
1933       <xsl:when test="$name='beta_red'">
1934         <xsl:apply-templates select="*[2]"/>
1935         <m:munderover>
1936          <m:mo mathcolor="Green">
1937           <xsl:if test="$id != ''">
1938            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1939           </xsl:if>&#8594;</m:mo>
1940           <m:mi mathcolor="Green">&#946;</m:mi>
1941           <m:mi mathcolor="Green">*</m:mi>
1942         </m:munderover>
1943         <xsl:apply-templates select="*[3]"/>
1944       </xsl:when>
1945       <!-- par_beta_red1 -->
1946       <xsl:when test="$name='par_beta_red1'">
1947         <xsl:apply-templates select="*[2]"/>
1948         <m:munder>
1949          <m:mo mathcolor="Green">
1950           <xsl:if test="$id != ''">
1951            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1952           </xsl:if>&#8658;</m:mo>
1953           <m:mi mathcolor="Green">&#946;</m:mi>
1954         </m:munder>
1955         <xsl:apply-templates select="*[3]"/>
1956       </xsl:when>
1957       <!-- par_beta_red -->
1958       <xsl:when test="$name='par_beta_red'">
1959         <xsl:apply-templates select="*[2]"/>
1960         <m:munderover>
1961          <m:mo mathcolor="Green">
1962           <xsl:if test="$id != ''">
1963            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1964           </xsl:if>&#8658;</m:mo>
1965           <m:mi mathcolor="Green">&#946;</m:mi>
1966           <m:mi mathcolor="Green">*</m:mi>
1967         </m:munderover>
1968         <xsl:apply-templates select="*[3]"/>
1969       </xsl:when>
1970       <!-- forgetful -->
1971       <xsl:when test="$name='forgetful'">
1972        <m:mfenced open="|" close="|">
1973         <xsl:if test="$id != ''">
1974          <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1975         </xsl:if>
1976         <xsl:apply-templates select="*[2]"/>
1977        </m:mfenced>
1978       </xsl:when>
1979       <!-- isomorphic -->
1980       <xsl:when test="$name='isomorphic'">
1981         <xsl:apply-templates select="*[2]"/>
1982         <m:mo mathcolor="Green">
1983          <xsl:if test="$id != ''">
1984           <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1985          </xsl:if>&#8773;</m:mo>
1986         <xsl:apply-templates select="*[3]"/>
1987       </xsl:when>
1988       <!-- interp -->
1989       <xsl:when test="$name='forgetful'">
1990        <m:mfenced open="[" close="]">
1991         <xsl:if test="$id != ''">
1992          <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
1993         </xsl:if>
1994         <xsl:apply-templates select="*[2]"/>
1995        </m:mfenced>
1996       </xsl:when>
1997
1998       <!-- ERROR -->
1999       <xsl:otherwise>
2000        <m:mi>ERROR(&quot;<xsl:value-of select="$name"/>&quot;)</m:mi>
2001       </xsl:otherwise>
2002      </xsl:choose>
2003     </m:mrow>
2004 </xsl:template>
2005
2006 <!-- Il modo Thread non esiste piu'
2007 <xsl:template match="*" mode="thread">
2008  <xsl:variable name="name"><xsl:value-of select="following-sibling::*[position()=1]/m:csymbol"/></xsl:variable>
2009  <xsl:choose>
2010   <xsl:when test="$name='rw_step'">
2011          <m:mtr>
2012           <m:mtd>
2013            <m:mrow>
2014             <m:mtext>Rewrite</m:mtext>
2015             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2016             <xsl:apply-templates select="following-sibling::*[position()=1]/*[2]"/>
2017             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2018             <m:mtext>with</m:mtext>
2019             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2020             <xsl:apply-templates select="following-sibling::*[position()=1]/*[3]"/>
2021             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2022             <m:mtext>by</m:mtext>
2023             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2024             <xsl:apply-templates select="following-sibling::*[position()=1]/*[4]"/>
2025            </m:mrow>
2026           </m:mtd>
2027          </m:mtr>
2028          <m:mtr>
2029           <m:mtd>
2030            <m:mrow>
2031             <m:mtext mathcolor="Red">we&#x00a0;get</m:mtext>
2032             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2033             <xsl:apply-templates select="."/>
2034            </m:mrow>
2035           </m:mtd>
2036          </m:mtr>
2037    </xsl:when>
2038    <xsl:otherwise>
2039          <m:mtr>
2040           <m:mtd>
2041            <m:mrow>
2042             <xsl:apply-templates select="following-sibling::*[position()=1]"/>
2043            </m:mrow>
2044           </m:mtd>
2045          </m:mtr>
2046          <m:mtr>
2047           <m:mtd>
2048            <m:mrow>
2049             <m:mtext mathcolor="Red">we&#x00a0;get</m:mtext>
2050             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2051             <xsl:apply-templates select="."/>
2052            </m:mrow>
2053           </m:mtd>
2054          </m:mtr>
2055     </xsl:otherwise>
2056    </xsl:choose>
2057          <xsl:apply-templates mode="thread" select="preceding-sibling::*[position()=2]"/>
2058 </xsl:template>
2059 -->
2060
2061 <!-- LAMBDA -->
2062
2063 <xsl:template match="m:lambda">
2064     <xsl:variable name="charlength"><xsl:apply-templates select="*[position()=1]" mode="charcount"/></xsl:variable>
2065     <m:mrow>
2066      <xsl:if test="@id">
2067       <xsl:attribute name="xref">
2068        <xsl:value-of select="@id"/>
2069       </xsl:attribute>
2070      </xsl:if>
2071      <xsl:choose>
2072      <xsl:when test="$charlength >= $framewidth">
2073       <m:mtable align="baseline 1" equalrows="false" columnalign="left">
2074         <m:mtr>
2075           <m:mtd>
2076            <m:mrow>
2077             <m:mo mathcolor="Red">&#x03bb;</m:mo>
2078             <xsl:apply-templates select="m:bvar"/>
2079            </m:mrow>
2080           </m:mtd>
2081          </m:mtr>
2082        <m:mtr>
2083         <m:mtd>
2084          <m:mrow>
2085           <m:mo>.</m:mo>
2086           <xsl:apply-templates select="*[position()=2]"/>
2087          </m:mrow>
2088         </m:mtd>
2089        </m:mtr>
2090       </m:mtable>
2091      </xsl:when>
2092      <xsl:otherwise>
2093       <m:mo mathcolor="Red">&#x03bb;</m:mo>
2094       <xsl:apply-templates select="m:bvar/m:ci"/>
2095       <m:mo>:</m:mo>
2096       <xsl:apply-templates select="m:bvar/m:type"/>
2097       <m:mo>.</m:mo>
2098       <xsl:apply-templates select="*[position()=2]"/>
2099      </xsl:otherwise>
2100      </xsl:choose>
2101     </m:mrow>
2102 </xsl:template>
2103
2104
2105 <!--**********************-->
2106 <!--       COUNTING       -->
2107 <!--**********************-->
2108
2109 <xsl:template match="m:cn|m:and|m:or|m:not|m:exists|m:eq|m:lt|m:leq|m:gt|m:geq
2110  |m:in|m:notin|m:intersect|m:union|m:subset|m:prsubset|m:card|m:setdiff
2111  |m:plus|m:minus|m:times" mode="charcount">
2112 <xsl:param name="incurrent_length" select="0"/>
2113     <xsl:choose>
2114     <xsl:when test="$framewidth > ($incurrent_length + 3 + string-length())">
2115      <xsl:variable name="siblength">
2116       <xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount">
2117        <xsl:with-param name="incurrent_length" select="$incurrent_length + string-length()"/>
2118       </xsl:apply-templates>
2119      </xsl:variable>
2120      <xsl:choose>
2121      <xsl:when test="string($siblength) = &quot;&quot;">
2122       <xsl:value-of select="$incurrent_length + 3 + string-length()"/>
2123      </xsl:when>
2124      <xsl:otherwise>
2125       <xsl:value-of select="number($siblength)"/>
2126      </xsl:otherwise>
2127      </xsl:choose>
2128     </xsl:when>
2129     <xsl:otherwise>
2130      <xsl:value-of select="$incurrent_length + 3 + string-length()"/>
2131     </xsl:otherwise>
2132     </xsl:choose>
2133 </xsl:template>
2134
2135 <xsl:template match="m:ci|m:csymbol" mode="charcount">
2136 <xsl:param name="incurrent_length" select="0"/>
2137 <xsl:param name="nosibling" select="0"/>
2138     <xsl:choose>
2139     <xsl:when test="$framewidth > ($incurrent_length + string-length()) and ($nosibling = 0)">
2140      <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length + string-length()"/></xsl:apply-templates></xsl:variable>
2141      <xsl:choose>
2142      <xsl:when test="string($siblength) = &quot;&quot;">
2143       <xsl:value-of select="$incurrent_length + string-length()"/>
2144      </xsl:when>
2145      <xsl:otherwise>
2146       <xsl:value-of select="number($siblength)"/>
2147      </xsl:otherwise>
2148      </xsl:choose>
2149     </xsl:when>
2150     <xsl:otherwise>
2151      <xsl:value-of select="$incurrent_length + string-length()"/>
2152     </xsl:otherwise>
2153     </xsl:choose>
2154 </xsl:template>
2155
2156 <xsl:template match="*" mode="charcount">
2157 <xsl:param name="incurrent_length" select="0"/>
2158 <xsl:param name="nosibling" select="0"/>
2159  <xsl:choose>
2160   <xsl:when test="count(child::*) = 0">
2161    <!-- tremendous bug fixed. An empty element can still have siblings!!! -->
2162    <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length"/></xsl:apply-templates></xsl:variable>
2163    <xsl:choose>
2164     <xsl:when test="string($siblength) = &quot;&quot;">
2165      <xsl:value-of select="$incurrent_length"/>
2166     </xsl:when>
2167     <xsl:otherwise>
2168       <xsl:value-of select="number($siblength)"/>
2169     </xsl:otherwise>
2170    </xsl:choose>
2171   </xsl:when>
2172   <xsl:otherwise>
2173     <xsl:variable name="childlength"><xsl:apply-templates select="*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length"/><xsl:with-param name="nosibling" select="0"/></xsl:apply-templates></xsl:variable>
2174     <xsl:choose>
2175     <xsl:when test="$framewidth > number($childlength) and ($nosibling = 0)">
2176      <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$childlength"/></xsl:apply-templates></xsl:variable>
2177      <xsl:choose>
2178      <xsl:when test="string($siblength) = &quot;&quot;">
2179       <xsl:value-of select="number($childlength)"/>
2180      </xsl:when>
2181      <xsl:otherwise>
2182       <xsl:value-of select="number($siblength)"/>
2183      </xsl:otherwise>
2184      </xsl:choose>
2185     </xsl:when>
2186     <xsl:otherwise>
2187      <xsl:value-of select="number($childlength)"/>
2188     </xsl:otherwise>
2189     </xsl:choose>
2190   </xsl:otherwise>
2191  </xsl:choose>
2192 </xsl:template>
2193
2194 </xsl:stylesheet>
2195