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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          <xsl:variable name="charlength1">
1541           <xsl:apply-templates select="*[3]" mode="root_charcount"/>
1542          </xsl:variable>
1543          <xsl:variable name="charlength2">
1544           <xsl:apply-templates select="*[4]" mode="root_charcount"/>
1545          </xsl:variable>
1546          <xsl:variable name="charlength3">
1547           <xsl:apply-templates select="*[5]" mode="root_charcount"/>
1548          </xsl:variable>
1549          <xsl:variable name="split1"
1550            select="($charlength1 + $charlength2) >= $framewidth"/>
1551          <xsl:variable name="split2"
1552            select="($charlength2 + $charlength3) >= $framewidth"/>
1553          <xsl:choose>
1554           <xsl:when test="$split1">
1555            <m:mtr>
1556             <m:mtd>
1557              <m:mrow>
1558               <m:mtext>Rewrite</m:mtext>
1559               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1560               <xsl:apply-templates select="*[3]"/>
1561              </m:mrow>
1562             </m:mtd>
1563            </m:mtr>
1564            <xsl:choose>
1565             <xsl:when test="$split2">
1566              <m:mtr>
1567               <m:mtd>
1568                <m:mrow>
1569                 <m:mtext>with</m:mtext>
1570                 <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1571                 <xsl:apply-templates select="*[4]"/>
1572                </m:mrow>
1573               </m:mtd>
1574              </m:mtr>
1575              <m:mtr>
1576               <m:mtd>
1577                <m:mrow>
1578                 <m:mtext>by</m:mtext>
1579                 <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1580                 <xsl:apply-templates select="*[5]"/>
1581                </m:mrow>
1582               </m:mtd>
1583              </m:mtr>
1584             </xsl:when>
1585             <xsl:otherwise>
1586              <m:mtr>
1587               <m:mtd>
1588                <m:mrow>
1589                 <m:mtext>with</m:mtext>
1590                 <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1591                 <xsl:apply-templates select="*[4]"/>
1592                 <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1593                 <m:mtext>by</m:mtext>
1594                 <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1595                 <xsl:apply-templates select="*[5]"/>
1596                </m:mrow>
1597               </m:mtd>
1598              </m:mtr>
1599             </xsl:otherwise>
1600            </xsl:choose>
1601           </xsl:when>
1602           <xsl:when test="$split2">
1603            <m:mtr>
1604             <m:mtd>
1605              <m:mrow>
1606               <m:mtext>Rewrite</m:mtext>
1607               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1608               <xsl:apply-templates select="*[3]"/>
1609               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1610               <m:mtext>with</m:mtext>
1611               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1612               <xsl:apply-templates select="*[4]"/>
1613              </m:mrow>
1614             </m:mtd>
1615            </m:mtr>
1616            <m:mtr>
1617             <m:mtd>
1618              <m:mrow>
1619               <m:mtext>by</m:mtext>
1620               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1621               <xsl:apply-templates select="*[5]"/>
1622              </m:mrow>
1623             </m:mtd>
1624            </m:mtr>
1625           </xsl:when>
1626           <xsl:otherwise>
1627            <m:mtr>
1628             <m:mtd>
1629              <m:mrow>
1630               <m:mtext>Rewrite</m:mtext>
1631               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1632               <xsl:apply-templates select="*[3]"/>
1633               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1634               <m:mtext>with</m:mtext>
1635               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1636               <xsl:apply-templates select="*[4]"/>
1637               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1638               <m:mtext>by</m:mtext>
1639               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1640               <xsl:apply-templates select="*[5]"/>
1641              </m:mrow>
1642             </m:mtd>
1643            </m:mtr>
1644           </xsl:otherwise>
1645          </xsl:choose>
1646         </m:mtable>
1647       </xsl:when>
1648       <!-- not existing any more
1649       <xsl:when test="$name='thread'">
1650         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1651          <m:mtr>
1652           <m:mtd>
1653            <m:mrow>
1654             <xsl:choose>
1655              <xsl:when test="name(*[last()])='m:apply'">
1656               <xsl:apply-templates select="*[last()]"/>
1657              </xsl:when>
1658              <xsl:otherwise>
1659               <m:mtext>Consider</m:mtext>
1660               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1661               <xsl:apply-templates select="*[last()]"/>
1662              </xsl:otherwise>
1663             </xsl:choose>
1664            </m:mrow>
1665           </m:mtd>
1666          </m:mtr>
1667          <xsl:apply-templates mode="thread" select="*[(last()-2)]"/> 
1668         </m:mtable>
1669       </xsl:when>
1670       --> 
1671       <!-- REWRITE_AND_APPLY -->
1672       <xsl:when test="$name='rewrite_and_apply'">
1673         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1674          <m:mtr>
1675           <m:mtd>
1676            <m:mrow>
1677             <xsl:apply-templates select="*[2]"/>
1678            </m:mrow>
1679           </m:mtd>
1680          </m:mtr>
1681          <m:mtr>
1682           <m:mtd>
1683            <m:mrow>
1684             <m:mtext>Then&#x00a0;apply&#x00a0;it&#x00a0;to</m:mtext>
1685             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1686             <xsl:apply-templates select="*[position()>2]"/>
1687            </m:mrow>
1688           </m:mtd>
1689          </m:mtr>
1690        </m:mtable>
1691       </xsl:when>
1692       <!-- AND_IND -->
1693       <xsl:when test="$name='and_ind'">
1694         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1695          <m:mtr>
1696           <m:mtd>
1697            <m:mrow>
1698             <xsl:choose>
1699              <xsl:when test="name(*[2])='m:apply'">
1700               <xsl:apply-templates select="*[2]"/>
1701              </xsl:when>
1702              <xsl:otherwise>
1703               <m:mtext>Consider</m:mtext>
1704               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1705               <xsl:apply-templates select="*[2]"/>
1706              </xsl:otherwise>
1707             </xsl:choose>
1708            </m:mrow>
1709           </m:mtd>
1710          </m:mtr>
1711          <m:mtr>
1712           <m:mtd>
1713            <m:mrow>
1714             <m:mtext>In&#x00a0;particular,&#x00a0;we&#x00a0;have</m:mtext>
1715            </m:mrow>
1716           </m:mtd>
1717          </m:mtr>
1718          <m:mtr>
1719           <m:mtd>
1720            <m:mrow>
1721             <m:mtext>(</m:mtext>
1722             <xsl:apply-templates select="*[3]"/>
1723             <m:mtext>)</m:mtext>
1724             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1725             <xsl:apply-templates select="*[4]"/>
1726             </m:mrow>
1727           </m:mtd>
1728          </m:mtr>
1729          <m:mtr>
1730           <m:mtd>
1731            <m:mrow>
1732             <m:mtext>(</m:mtext>
1733             <xsl:apply-templates select="*[5]"/>
1734             <m:mtext>)</m:mtext>
1735             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1736             <xsl:apply-templates select="*[6]"/>
1737             </m:mrow>
1738           </m:mtd>
1739          </m:mtr>
1740          <m:mtr>
1741           <m:mtd>
1742            <m:mrow>
1743             <xsl:apply-templates select="*[7]"/>
1744            </m:mrow>
1745           </m:mtd>
1746          </m:mtr>
1747         </m:mtable>
1748       </xsl:when>
1749       <!-- full_or_ind -->
1750       <xsl:when test="$name='full_or_ind'">
1751         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1752          <m:mtr>
1753           <m:mtd>
1754            <m:mrow>
1755             <xsl:choose>
1756              <xsl:when test="name(*[2])='m:apply'">
1757               <xsl:apply-templates select="*[2]"/>
1758              </xsl:when>
1759              <xsl:otherwise>
1760               <m:mtext>Consider</m:mtext>
1761               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1762               <xsl:apply-templates select="*[2]"/>
1763              </xsl:otherwise>
1764             </xsl:choose>
1765            </m:mrow>
1766           </m:mtd>
1767          </m:mtr>
1768          <m:mtr>
1769           <m:mtd>
1770            <m:mrow>
1771             <m:mtext>We&#x00a0;proceed&#x00a0;by&#x00a0;cases&#x00a0;to&#x00a0;prove</m:mtext>
1772             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1773             <xsl:apply-templates select="*[3]"/>
1774            </m:mrow>
1775           </m:mtd>
1776          </m:mtr>
1777          <m:mtr>
1778           <m:mtd>
1779            <m:mrow>
1780             <m:mtext>Left:&#x00a0;suppose</m:mtext>
1781             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1782             <m:mo stretchy="false">(</m:mo>
1783             <xsl:apply-templates select="*[4]/m:bvar/m:ci"/>
1784             <m:mo stretchy="false">)</m:mo>
1785             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1786             <xsl:apply-templates select="*[4]/m:bvar/m:type/*[1]"/>
1787            </m:mrow>
1788           </m:mtd>
1789          </m:mtr>
1790          <m:mtr>
1791           <m:mtd>
1792            <m:mrow>
1793             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1794             <xsl:apply-templates select="*[4]/*[3]"/>
1795            </m:mrow>
1796           </m:mtd>
1797          </m:mtr>
1798          <m:mtr>
1799           <m:mtd>
1800            <m:mrow>
1801             <m:mtext>Right:&#x00a0;suppose</m:mtext>
1802             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1803             <m:mo stretchy="false">(</m:mo>
1804             <xsl:apply-templates select="*[5]/m:bvar/m:ci"/>
1805             <m:mo stretchy="false">)</m:mo>
1806             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1807             <xsl:apply-templates select="*[5]/m:bvar/m:type/*[1]"/>
1808            </m:mrow>
1809           </m:mtd>
1810          </m:mtr>
1811          <m:mtr>
1812           <m:mtd>
1813            <m:mrow>
1814             <xsl:apply-templates select="*[5]/*[3]"/>
1815            </m:mrow>
1816           </m:mtd>
1817          </m:mtr>
1818         </m:mtable>
1819       </xsl:when>
1820       <!-- OR_IND -->
1821       <xsl:when test="$name='or_ind'">
1822         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1823          <m:mtr>
1824           <m:mtd>
1825            <m:mrow>
1826             <xsl:choose>
1827              <xsl:when test="name(*[2])='m:apply'">
1828               <xsl:apply-templates select="*[2]"/>
1829              </xsl:when>
1830              <xsl:otherwise>
1831               <m:mtext>Consider</m:mtext>
1832               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1833               <xsl:apply-templates select="*[2]"/>
1834              </xsl:otherwise>
1835             </xsl:choose>
1836            </m:mrow>
1837           </m:mtd>
1838          </m:mtr>
1839          <m:mtr>
1840           <m:mtd>
1841            <m:mrow>
1842             <m:mtext>We&#x00a0;prove</m:mtext>
1843             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1844             <xsl:apply-templates select="*[3]"/>
1845             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1846             <m:mtext>by&#x00a0;cases:</m:mtext>
1847            </m:mrow>
1848           </m:mtd>
1849          </m:mtr>
1850          <m:mtr>
1851           <m:mtd>
1852            <m:mrow>
1853             <m:mtext>Left</m:mtext>
1854             <xsl:apply-templates select="*[4]"/>
1855            </m:mrow>
1856           </m:mtd>
1857          </m:mtr>
1858          <m:mtr>
1859           <m:mtd>
1860            <m:mrow>
1861             <m:mtext>Right</m:mtext>
1862             <xsl:apply-templates select="*[5]"/>
1863            </m:mrow>
1864           </m:mtd>
1865          </m:mtr>
1866         </m:mtable>
1867       </xsl:when>
1868       <!-- EX_IND -->
1869       <xsl:when test="$name='ex_ind'">
1870         <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1871          <m:mtr>
1872           <m:mtd>
1873            <m:mrow>
1874             <xsl:choose>
1875              <xsl:when test="name(*[2])='m:apply'">
1876               <xsl:apply-templates select="*[2]"/>
1877              </xsl:when>
1878              <xsl:otherwise>
1879               <m:mtext>Consider</m:mtext>
1880               <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1881               <xsl:apply-templates select="*[2]"/>
1882              </xsl:otherwise>
1883             </xsl:choose>
1884            </m:mrow>
1885           </m:mtd>
1886          </m:mtr>
1887          <m:mtr>
1888           <m:mtd>
1889            <m:mrow>
1890             <m:mtext>Let</m:mtext>
1891             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1892             <xsl:apply-templates select="*[3]"/>
1893             <m:mtext>:</m:mtext>
1894             <xsl:apply-templates select="*[4]"/>
1895             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1896             <m:mtext>such&#x00a0;that</m:mtext>
1897             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1898             <m:mtext>(</m:mtext>
1899              <xsl:apply-templates select="*[5]"/>
1900             <m:mtext>)</m:mtext>
1901             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1902             <xsl:apply-templates select="*[6]"/>
1903            </m:mrow>
1904           </m:mtd>
1905          </m:mtr>
1906          <m:mtr>
1907           <m:mtd>
1908            <m:mrow>
1909             <xsl:apply-templates select="*[7]"/>
1910            </m:mrow>
1911           </m:mtd>
1912          </m:mtr>
1913         </m:mtable>
1914       </xsl:when>
1915       <!-- EQ_CHAIN -->
1916       <xsl:when test="$name='eq_chain'">
1917        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1918         <m:mtr>
1919          <m:mtd>
1920           <m:mrow>
1921            <m:mtext mathcolor="Red">We&#x00a0;have&#x00a0;the&#x00a0;following&#x00a0;equality&#x00a0;chain:</m:mtext>
1922           </m:mrow>
1923          </m:mtd>
1924         </m:mtr>
1925         <xsl:for-each select="*[position() mod 2 = 0]">
1926         <xsl:variable name="pos" select="position()"/>
1927         <m:mtr>
1928          <m:mtd>
1929           <m:mrow>
1930            <xsl:choose>
1931            <xsl:when test="$pos = 1">
1932             <xsl:apply-templates select="."/>
1933             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1934             <m:mo>=</m:mo>
1935            </xsl:when>
1936            <xsl:otherwise>
1937             <m:mo>=</m:mo>
1938             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1939             <xsl:apply-templates select="."/>
1940            </xsl:otherwise>
1941            </xsl:choose>
1942           </m:mrow>
1943          </m:mtd>
1944         </m:mtr>
1945         <xsl:if test="$pos != last()">
1946         <m:mtr>
1947          <m:mtd>
1948           <m:mrow>
1949            <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
1950            <xsl:apply-templates select="../*[position()=2*$pos +1]"/>
1951           </m:mrow>
1952          </m:mtd>
1953         </m:mtr>
1954         </xsl:if>
1955         </xsl:for-each>
1956        </m:mtable>
1957       </xsl:when>
1958       <!-- DISEQ_CHAIN -->
1959       <xsl:when test="$name='diseq_chain'">
1960        <m:mtable align="baseline 1" equalrows="false" columnalign="left">
1961         <m:mtr>
1962          <m:mtd>
1963           <m:mrow>
1964            <m:mtext mathcolor="Red">We&#x00a0;have&#x00a0;the&#x00a0;following&#x00a0;disequality&#x00a0;chain:</m:mtext>
1965           </m:mrow>
1966          </m:mtd>
1967         </m:mtr>
1968         <xsl:for-each select="*[position() mod 3 = 2]">
1969         <xsl:variable name="pos" select="position()"/>
1970         <m:mtr>
1971          <m:mtd>
1972           <m:mrow>
1973            <xsl:choose>
1974            <xsl:when test="$pos = 1">
1975             <xsl:apply-templates select="."/>
1976             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1977             <mo><xsl:apply-templates select="../*[position()=3*$pos]"/></mo>
1978            </xsl:when>
1979            <xsl:otherwise>
1980             <mo><xsl:apply-templates select="../*[position()=3*($pos - 1)]"/></mo>
1981             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
1982             <xsl:apply-templates select="."/>
1983            </xsl:otherwise>
1984            </xsl:choose>
1985           </m:mrow>
1986          </m:mtd>
1987         </m:mtr>
1988         <xsl:if test="$pos != last()">
1989         <m:mtr>
1990          <m:mtd>
1991           <m:mrow>
1992            <m:mphantom><m:mtext>__</m:mtext></m:mphantom>
1993            <xsl:apply-templates select="../*[position()=3*$pos +1]"/>
1994           </m:mrow>
1995          </m:mtd>
1996         </m:mtr>
1997         </xsl:if>
1998         </xsl:for-each>
1999        </m:mtable>
2000       </xsl:when>
2001       <!-- ***************************************** -->
2002       <!-- *********** NOTATIONS ******************* -->
2003       <!-- ***************************************** -->
2004       <!-- subst -->
2005       <xsl:when test="$name='subst'">
2006         <xsl:apply-templates select="*[3]"/>
2007 <!-- no font for ApplyFunction: <m:mo>&#xe8a0;</m:mo> -->
2008         <m:mo stretchy="false">[</m:mo>
2009         <xsl:apply-templates select="*[4]"/>
2010         <m:mo mathcolor="Green">
2011          <xsl:if test="$id != ''">
2012           <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
2013          </xsl:if>&#8592;</m:mo>
2014         <xsl:apply-templates select="*[2]"/>
2015         <m:mo stretchy="false">]</m:mo>
2016       </xsl:when>
2017       <!-- lift -->
2018       <xsl:when test="$name='lift'">
2019         <m:msup>
2020          <m:mo mathcolor="Green">
2021           <xsl:if test="$id != ''">
2022            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
2023           </xsl:if>&#8593;</m:mo>
2024          <xsl:apply-templates select="*[2]"/>
2025         </m:msup>
2026         <m:mrow>
2027          <m:mo stretchy="false">(</m:mo>
2028          <xsl:apply-templates select="*[3]"/>
2029          <m:mo stretchy="false">)</m:mo>
2030         </m:mrow>
2031       </xsl:when>
2032       <!-- lift_with_base -->
2033       <xsl:when test="$name='lift_with_base'">
2034         <m:msubsup>
2035          <m:mo mathcolor="Green">
2036           <xsl:if test="$id != ''">
2037            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
2038           </xsl:if>&#8593;</m:mo>
2039          <xsl:apply-templates select="*[3]"/>
2040          <xsl:apply-templates select="*[4]"/>
2041         </m:msubsup>
2042         <m:mrow>
2043          <m:mo stretchy="false">(</m:mo>
2044          <xsl:apply-templates select="*[2]"/>
2045          <m:mo stretchy="false">)</m:mo>
2046         </m:mrow>       
2047       </xsl:when>
2048       <!-- beta_red1 -->
2049       <xsl:when test="$name='beta_red1'">
2050         <xsl:apply-templates select="*[2]"/>
2051         <m:munder>
2052          <m:mo mathcolor="Green">
2053           <xsl:if test="$id != ''">
2054            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
2055           </xsl:if>&#8594;</m:mo>
2056           <m:mi mathcolor="Green">&#946;</m:mi>
2057         </m:munder>
2058         <xsl:apply-templates select="*[3]"/>
2059       </xsl:when>
2060       <!-- beta_red -->
2061       <xsl:when test="$name='beta_red'">
2062         <xsl:apply-templates select="*[2]"/>
2063         <m:munderover>
2064          <m:mo mathcolor="Green">
2065           <xsl:if test="$id != ''">
2066            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
2067           </xsl:if>&#8594;</m:mo>
2068           <m:mi mathcolor="Green">&#946;</m:mi>
2069           <m:mi mathcolor="Green">*</m:mi>
2070         </m:munderover>
2071         <xsl:apply-templates select="*[3]"/>
2072       </xsl:when>
2073       <!-- par_beta_red1 -->
2074       <xsl:when test="$name='par_beta_red1'">
2075         <xsl:apply-templates select="*[2]"/>
2076         <m:munder>
2077          <m:mo mathcolor="Green">
2078           <xsl:if test="$id != ''">
2079            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
2080           </xsl:if>&#8658;</m:mo>
2081           <m:mi mathcolor="Green">&#946;</m:mi>
2082         </m:munder>
2083         <xsl:apply-templates select="*[3]"/>
2084       </xsl:when>
2085       <!-- par_beta_red -->
2086       <xsl:when test="$name='par_beta_red'">
2087         <xsl:apply-templates select="*[2]"/>
2088         <m:munderover>
2089          <m:mo mathcolor="Green">
2090           <xsl:if test="$id != ''">
2091            <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
2092           </xsl:if>&#8658;</m:mo>
2093           <m:mi mathcolor="Green">&#946;</m:mi>
2094           <m:mi mathcolor="Green">*</m:mi>
2095         </m:munderover>
2096         <xsl:apply-templates select="*[3]"/>
2097       </xsl:when>
2098       <!-- forgetful -->
2099       <xsl:when test="$name='forgetful'">
2100        <m:mfenced open="|" close="|">
2101         <xsl:if test="$id != ''">
2102          <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
2103         </xsl:if>
2104         <xsl:apply-templates select="*[2]"/>
2105        </m:mfenced>
2106       </xsl:when>
2107       <!-- isomorphic -->
2108       <xsl:when test="$name='isomorphic'">
2109         <xsl:apply-templates select="*[2]"/>
2110         <m:mo mathcolor="Green">
2111          <xsl:if test="$id != ''">
2112           <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
2113          </xsl:if>&#8773;</m:mo>
2114         <xsl:apply-templates select="*[3]"/>
2115       </xsl:when>
2116       <!-- interp -->
2117       <xsl:when test="$name='interp'">
2118        <m:mfenced open="[" close="]">
2119         <xsl:if test="$id != ''">
2120          <xsl:attribute name="xref"><xsl:value-of select="$id"/></xsl:attribute>
2121         </xsl:if>
2122         <xsl:apply-templates select="*[2]"/>
2123        </m:mfenced>
2124       </xsl:when> 
2125
2126       <!-- ERROR -->
2127       <xsl:otherwise>
2128        <m:mi>ERROR(&quot;<xsl:value-of select="$name"/>&quot;)</m:mi>
2129       </xsl:otherwise>
2130      </xsl:choose>
2131     </m:mrow>
2132 </xsl:template>
2133
2134 <!-- Il modo Thread non esiste piu' 
2135 <xsl:template match="*" mode="thread">
2136  <xsl:variable name="name"><xsl:value-of select="following-sibling::*[position()=1]/m:csymbol"/></xsl:variable>
2137  <xsl:choose>
2138   <xsl:when test="$name='rw_step'">
2139          <m:mtr>
2140           <m:mtd>
2141            <m:mrow>
2142             <m:mtext>Rewrite</m:mtext>
2143             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2144             <xsl:apply-templates select="following-sibling::*[position()=1]/*[2]"/>
2145             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2146             <m:mtext>with</m:mtext>
2147             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2148             <xsl:apply-templates select="following-sibling::*[position()=1]/*[3]"/>
2149             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2150             <m:mtext>by</m:mtext>
2151             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2152             <xsl:apply-templates select="following-sibling::*[position()=1]/*[4]"/>
2153            </m:mrow>
2154           </m:mtd>
2155          </m:mtr>
2156          <m:mtr>
2157           <m:mtd>
2158            <m:mrow>
2159             <m:mtext mathcolor="Red">we&#x00a0;get</m:mtext>
2160             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2161             <xsl:apply-templates select="."/>
2162            </m:mrow>
2163           </m:mtd>
2164          </m:mtr>
2165    </xsl:when>
2166    <xsl:otherwise>
2167          <m:mtr>
2168           <m:mtd>
2169            <m:mrow>
2170             <xsl:apply-templates select="following-sibling::*[position()=1]"/>
2171            </m:mrow>
2172           </m:mtd>
2173          </m:mtr>
2174          <m:mtr>
2175           <m:mtd>
2176            <m:mrow>
2177             <m:mtext mathcolor="Red">we&#x00a0;get</m:mtext>
2178             <m:mphantom><m:mtext>_</m:mtext></m:mphantom>
2179             <xsl:apply-templates select="."/>
2180            </m:mrow>
2181           </m:mtd>
2182          </m:mtr>
2183     </xsl:otherwise>
2184    </xsl:choose>
2185          <xsl:apply-templates mode="thread" select="preceding-sibling::*[position()=2]"/>
2186 </xsl:template>
2187 -->
2188
2189 <!-- LAMBDA -->
2190
2191 <xsl:template match="m:lambda">
2192     <xsl:variable name="charlength"><xsl:apply-templates select="*[position()=1]" mode="charcount"/></xsl:variable>
2193     <m:mrow>
2194      <xsl:if test="@id">
2195       <xsl:attribute name="xref">
2196        <xsl:value-of select="@id"/>
2197       </xsl:attribute>
2198      </xsl:if>
2199      <xsl:choose>
2200      <xsl:when test="$charlength >= $framewidth">
2201       <m:mtable align="baseline 1" equalrows="false" columnalign="left">
2202         <m:mtr>
2203           <m:mtd>
2204            <m:mrow>
2205             <m:mo mathcolor="Red">&#x03bb;</m:mo>
2206             <xsl:apply-templates select="m:bvar"/>
2207            </m:mrow>
2208           </m:mtd>
2209          </m:mtr>
2210        <m:mtr>
2211         <m:mtd>
2212          <m:mrow>
2213           <m:mo>.</m:mo>
2214           <xsl:apply-templates select="*[position()=2]"/>
2215          </m:mrow>
2216         </m:mtd>
2217        </m:mtr>
2218       </m:mtable>
2219      </xsl:when>
2220      <xsl:otherwise>
2221       <m:mo mathcolor="Red">&#x03bb;</m:mo>
2222       <xsl:apply-templates select="m:bvar/m:ci"/>
2223       <m:mo>:</m:mo>
2224       <xsl:apply-templates select="m:bvar/m:type"/>
2225       <m:mo>.</m:mo>
2226       <xsl:apply-templates select="*[position()=2]"/>
2227      </xsl:otherwise>
2228      </xsl:choose>
2229     </m:mrow>
2230 </xsl:template>
2231
2232
2233 <!--**********************-->
2234 <!--       COUNTING       -->
2235 <!--**********************-->
2236
2237 <!-- enter this counting mode selecting the root -->
2238 <xsl:template match="*" mode="root_charcount">
2239 <xsl:param name="incurrent_length" select="0"/>
2240  <xsl:choose>
2241   <xsl:when test="count(*)=0">
2242    <xsl:value-of select="0"/>
2243   </xsl:when>
2244   <xsl:when test="name()='m:ci'">
2245    <xsl:value-of select="string-length()"/>
2246   </xsl:when>
2247   <xsl:otherwise>
2248    <xsl:apply-templates select="*[1]" mode="charcount">
2249     <xsl:with-param name="incurrent_length" select="$incurrent_length"/>
2250    </xsl:apply-templates>
2251   </xsl:otherwise>
2252  </xsl:choose>
2253 </xsl:template>
2254
2255 <xsl:template match="m:cn|m:and|m:or|m:not|m:exists|m:eq|m:lt|m:leq|m:gt|m:geq
2256  |m:in|m:notin|m:intersect|m:union|m:subset|m:prsubset|m:card|m:setdiff
2257  |m:plus|m:minus|m:times" mode="charcount">
2258 <xsl:param name="incurrent_length" select="0"/> 
2259     <xsl:choose>
2260     <xsl:when test="$framewidth > ($incurrent_length + 3 + string-length())">
2261      <xsl:variable name="siblength">
2262       <xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount">
2263        <xsl:with-param name="incurrent_length" select="$incurrent_length + string-length()"/>
2264       </xsl:apply-templates>
2265      </xsl:variable>
2266      <xsl:choose>
2267      <xsl:when test="string($siblength) = &quot;&quot;">
2268       <xsl:value-of select="$incurrent_length + 3 + string-length()"/>
2269      </xsl:when>
2270      <xsl:otherwise>
2271       <xsl:value-of select="number($siblength)"/>
2272      </xsl:otherwise>
2273      </xsl:choose>
2274     </xsl:when>
2275     <xsl:otherwise>
2276      <xsl:value-of select="$incurrent_length + 3 + string-length()"/>
2277     </xsl:otherwise>
2278     </xsl:choose>
2279 </xsl:template>
2280
2281 <xsl:template match="m:ci|m:csymbol" mode="charcount">
2282 <xsl:param name="incurrent_length" select="0"/> 
2283 <xsl:param name="nosibling" select="0"/>
2284     <xsl:choose>
2285     <xsl:when test="$framewidth > ($incurrent_length + string-length()) and ($nosibling = 0)">
2286      <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length + string-length()"/></xsl:apply-templates></xsl:variable>
2287      <xsl:choose>
2288      <xsl:when test="string($siblength) = &quot;&quot;">
2289       <xsl:value-of select="$incurrent_length + string-length()"/>
2290      </xsl:when>
2291      <xsl:otherwise>
2292       <xsl:value-of select="number($siblength)"/>
2293      </xsl:otherwise>
2294      </xsl:choose>
2295     </xsl:when>
2296     <xsl:otherwise>
2297      <xsl:value-of select="$incurrent_length + string-length()"/>
2298     </xsl:otherwise>
2299     </xsl:choose>
2300 </xsl:template> 
2301
2302 <xsl:template match="*" mode="charcount">
2303 <xsl:param name="incurrent_length" select="0"/>
2304 <xsl:param name="nosibling" select="0"/>
2305  <xsl:choose>
2306   <xsl:when test="count(child::*) = 0">
2307    <!-- tremendous bug fixed. An empty element can still have siblings!!! -->
2308    <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length"/></xsl:apply-templates></xsl:variable>
2309    <xsl:choose>
2310     <xsl:when test="string($siblength) = &quot;&quot;">
2311      <xsl:value-of select="$incurrent_length"/>
2312     </xsl:when>
2313     <xsl:otherwise>
2314       <xsl:value-of select="number($siblength)"/>
2315     </xsl:otherwise>
2316    </xsl:choose>
2317   </xsl:when>
2318   <xsl:otherwise>
2319     <xsl:variable name="childlength"><xsl:apply-templates select="*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$incurrent_length"/><xsl:with-param name="nosibling" select="0"/></xsl:apply-templates></xsl:variable>
2320     <xsl:choose>
2321     <xsl:when test="$framewidth > number($childlength) and ($nosibling = 0)">
2322      <xsl:variable name="siblength"><xsl:apply-templates select="following-sibling::*[position()=1]" mode="charcount"><xsl:with-param name="incurrent_length" select="$childlength"/></xsl:apply-templates></xsl:variable>
2323      <xsl:choose>
2324      <xsl:when test="string($siblength) = &quot;&quot;">
2325       <xsl:value-of select="number($childlength)"/>
2326      </xsl:when>
2327      <xsl:otherwise>
2328       <xsl:value-of select="number($siblength)"/>
2329      </xsl:otherwise>
2330      </xsl:choose>
2331     </xsl:when>
2332     <xsl:otherwise>
2333      <xsl:value-of select="number($childlength)"/>
2334     </xsl:otherwise>
2335     </xsl:choose>
2336   </xsl:otherwise>
2337  </xsl:choose>
2338 </xsl:template>
2339
2340 </xsl:stylesheet> 
2341