3 <!-- Copyright (C) 2000, HELM Team -->
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. -->
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. -->
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. -->
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. -->
24 <!-- For details, see the HELM World-Wide-Web page, -->
25 <!-- http://cs.unibo.it/helm/. -->
27 <!--******************************************************************-->
29 <!-- (completely) Revisited: february 2001, Andrea Asperti -->
30 <!-- HELM Group: Asperti, Padovani, Sacerdoti, Schena -->
31 <!--******************************************************************-->
33 <xsl:stylesheet version="1.0" xmlns:xsl="http://www.w3.org/1999/XSL/Transform"
34 xmlns:m="http://www.w3.org/1998/Math/MathML"
35 xmlns:helm="http://www.cs.unibo.it/helm">
37 <!-- ************************* LOGIC *********************************-->
39 <!-- Proof objects -->
41 <!-- <xsl:key name="typeid" use="@of" match="TYPE"/> -->
43 <!-- ALL this elements does not have inner type -->
44 <xsl:template match="LETIN|PROD|REL|SORT|VAR|META|CONST|MUTIND|MUTCONSTRUCT" mode="noannot">
45 <xsl:apply-templates select="." mode="pure"/>
48 <!-- ALL ELEMENTS WITH A TYPE ARE TRANSLATED AS A PROOF-ELEMENT -->
50 <!-- LAMBDA has inner type only if it is not nested inside another lambda -->
51 <xsl:template match="LAMBDA" mode="noannot">
52 <xsl:variable name="id" select="@id"/>
54 <xsl:when test="//InnerTypes and @sort='Prop' and name(../..) != 'LAMBDA'">
55 <m:apply helm:xref="{@id}">
56 <m:csymbol>proof</m:csymbol>
57 <xsl:apply-templates mode="proof_transform" select="."/>
58 <xsl:apply-templates mode="pure" select="//InnerTypes/TYPE[@of=$id]/*"/>
62 <xsl:apply-templates select="." mode="pure"/>
67 <!-- ALL these elements have inner type -->
68 <xsl:template match="CAST|APPLY|MUTCASE|FIX|COFIX" mode="noannot">
69 <xsl:variable name="id" select="@id"/>
71 <xsl:when test="//InnerTypes and @sort='Prop'">
72 <m:apply helm:xref="{@id}">
73 <m:csymbol>proof</m:csymbol>
74 <xsl:apply-templates mode="proof_transform" select="."/>
75 <xsl:apply-templates mode="pure" select="//InnerTypes/TYPE[@of=$id]/*"/>
80 <xsl:when test="name()='APPLY'">
81 <xsl:apply-templates select="." mode="letin"/>
84 <xsl:apply-templates select="." mode="pure"/>
91 <xsl:template mode="proof_transform" match="*">
92 <xsl:variable name="id" select="@id"/>
94 <!-- NATIND 3 parametri -->
95 <xsl:when test="name()='APPLY' and CONST[
96 attribute::uri='cic:/Coq/Init/Datatypes/nat_ind.con'] and count(child::*) = 4">
98 <m:csymbol>nat_ind</m:csymbol>
99 <xsl:apply-templates mode="noannot" select="*[3]"/>
100 <xsl:apply-templates mode="noannot" select="*[4]"/>
103 <!-- NATIND 4 parametri -->
104 <xsl:when test="name()='APPLY' and CONST[
105 attribute::uri='cic:/Coq/Init/Datatypes/nat_ind.con'] and count(child::*) = 5">
107 <m:csymbol>nat_ind</m:csymbol>
108 <xsl:apply-templates mode="noannot" select="*[3]"/>
109 <xsl:apply-templates mode="noannot" select="*[4]"/>
113 <xsl:when test="name()= 'APPLY' and CONST[
114 attribute::uri='cic:/Coq/Init/Logic_Type/eqT_ind.con' or
115 attribute::uri='cic:/Coq/Zarith/auxiliary/eqT_ind_r.con'] and count(child::*) = 7">
117 <m:csymbol>rw_step</m:csymbol>
118 <xsl:apply-templates mode="noannot" select="*[5]"/>
119 <xsl:apply-templates mode="pure" select="*[3]"/>
120 <xsl:apply-templates mode="pure" select="*[6]"/>
121 <xsl:apply-templates mode="pure" select="*[7]"/>
124 <!-- EQUALITY with extra-parameters -->
125 <xsl:when test="name()= 'APPLY' and CONST[
126 attribute::uri='cic:/Coq/Init/Logic_Type/eqT_ind.con' or
127 attribute::uri='cic:/Coq/Zarith/auxiliary/eqT_ind_r.con'] and count(child::*) > 7">
128 <xsl:variable name="no_extraproofs" select="count(*[position()>7 and @sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')])"/>
130 <xsl:when test="$no_extraproofs=0">
132 <m:csymbol>rewrite_and_apply</m:csymbol>
134 <m:csymbol>rw_step</m:csymbol>
135 <xsl:apply-templates mode="noannot" select="*[5]"/>
136 <xsl:apply-templates mode="pure" select="*[3]"/>
137 <xsl:apply-templates mode="pure" select="*[6]"/>
138 <xsl:apply-templates mode="pure" select="*[7]"/>
140 <xsl:apply-templates mode="noannot" select="*[position()>7]"/>
145 <xsl:when test="*[5]/@sort='Prop'">
146 <m:apply helm:xref="{@id}">
147 <m:csymbol>letin</m:csymbol>
149 <m:csymbol>let</m:csymbol>
151 <xsl:call-template name="insert_subscript">
152 <xsl:with-param name="node_value" select="'h1'"/>
155 <xsl:apply-templates mode="noannot" select="*[5]"/>
157 <xsl:call-template name="gen_let">
158 <xsl:with-param name="init_pos" select="1"/>
159 <xsl:with-param name="from" select="7"/>
162 <m:csymbol>rewrite_and_apply</m:csymbol>
164 <m:csymbol>rw_step</m:csymbol>
166 <xsl:call-template name="insert_subscript">
167 <xsl:with-param name="node_value" select="'h1'"/>
170 <xsl:apply-templates mode="pure" select="*[3]"/>
171 <xsl:apply-templates mode="pure" select="*[6]"/>
172 <xsl:apply-templates mode="pure" select="*[7]"/>
174 <xsl:apply-templates mode="flat" select="*[8]">
175 <xsl:with-param name="n">
176 <xsl:value-of select="2"/>
178 </xsl:apply-templates>
183 <m:apply helm:xref="{@id}">
184 <m:csymbol>letin</m:csymbol>
185 <xsl:call-template name="gen_let">
186 <xsl:with-param name="init_pos" select="0"/>
187 <xsl:with-param name="form" select="7"/>
190 <m:csymbol>rewrite_and_apply</m:csymbol>
192 <m:csymbol>rw_step</m:csymbol>
193 <xsl:apply-templates mode="pure" select="*[5]"/>
194 <xsl:apply-templates mode="pure" select="*[3]"/>
195 <xsl:apply-templates mode="pure" select="*[6]"/>
196 <xsl:apply-templates mode="pure" select="*[7]"/>
198 <xsl:apply-templates mode="flat" select="*[8]">
199 <xsl:with-param name="n">
200 <xsl:value-of select="1"/>
202 </xsl:apply-templates>
210 <!-- gestire meglio il caso di and_ind quando la prova
211 non e' della forma \x.\y.M -->
212 <xsl:when test="name()= 'APPLY' and CONST[
213 attribute::uri='cic:/Coq/Init/Logic/Conjunction/and_ind.con']
214 and count(child::*) = 6
215 and name(*[5])='LAMBDA'
216 and name(*[5]/target/*[1])='LAMBDA'">
217 <m:apply helm:xref="{@id}">
218 <m:csymbol>and_ind</m:csymbol>
219 <xsl:apply-templates mode="noannot" select="*[6]"/>
220 <m:ci><xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="*[5]/target/@binder"/></xsl:with-param></xsl:call-template></m:ci>
221 <xsl:apply-templates mode="pure" select="*[5]/source/*"/>
222 <m:ci><xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="*[5]/target/LAMBDA/target/@binder"/></xsl:with-param></xsl:call-template></m:ci>
223 <xsl:apply-templates mode="pure" select="*[5]/target/LAMBDA/source/*"/>
224 <xsl:apply-templates mode="proof_transform" select="*[5]/target/LAMBDA/target/*"/>
227 <xsl:when test="name()= 'APPLY' and CONST[
228 attribute::uri='cic:/Coq/Init/Logic/Disjunction/or_ind.con']
229 and count(child::*) = 7">
230 <m:apply helm:xref="{@id}">
231 <m:csymbol>or_ind</m:csymbol>
232 <xsl:apply-templates mode="noannot" select="*[7]"/>
233 <xsl:apply-templates mode="pure" select="//InnerTypes/TYPE[@of=$id]/*"/>
234 <xsl:apply-templates mode="pure" select="*[5]"/>
235 <xsl:apply-templates mode="pure" select="*[6]"/>
238 <!-- ex_ind, exT_ind -->
239 <xsl:when test="name()= 'APPLY'
240 and (CONST[attribute::uri='cic:/Coq/Init/Logic_Type/exT_ind.con'] or
241 CONST[attribute::uri='cic:/Coq/Init/Logic/First_order_quantifiers/ex_ind.con'])
242 and count(child::*) = 6
243 and name(*[5])='LAMBDA'
244 and name(*[5]/target/*[1])='LAMBDA'">
245 <m:apply helm:xref="{@id}">
246 <m:csymbol>ex_ind</m:csymbol>
247 <xsl:apply-templates mode="noannot" select="*[6]"/>
248 <m:ci><xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="*[5]/target/@binder"/></xsl:with-param></xsl:call-template></m:ci>
249 <xsl:apply-templates mode="pure" select="*[5]/source/*"/>
250 <m:ci><xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="*[5]/target/LAMBDA/target/@binder"/></xsl:with-param></xsl:call-template></m:ci>
251 <xsl:apply-templates mode="pure" select="*[5]/target/LAMBDA/source/*"/>
252 <xsl:apply-templates mode="proof_transform" select="*[5]/target/LAMBDA/target/*"/>
257 <xsl:when test="name()='APPLY'">
258 <xsl:apply-templates select="." mode="letin"/>
261 <xsl:apply-templates select="." mode="pure"/>
269 <xsl:template match="APPLY" mode="letin">
270 <xsl:variable name="no_subproofs" select="count(*[@sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')])"/>
271 <!-- <m:cn><xsl:value-of select="$no_subproofs"/></m:cn> -->
273 <xsl:when test="//InnerTypes and ($no_subproofs = 1)">
274 <m:apply helm:xref="{@id}">
275 <m:csymbol>letin1</m:csymbol>
276 <xsl:apply-templates mode="noannot" select="*[@sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')]"/>
277 <!-- now re-process the application -->
278 <m:apply helm:xref="{@id}">
279 <m:csymbol>app</m:csymbol>
280 <!-- mode previous looks for siblings:
281 call with the first child -->
282 <xsl:apply-templates mode="previous" select="*[1]"/>
286 <xsl:when test="//InnerTypes and ($no_subproofs > 1)">
287 <m:apply helm:xref="{@id}">
288 <m:csymbol>letin</m:csymbol>
289 <!-- first process all subproofs (let-in) -->
290 <xsl:call-template name="gen_let"/>
291 <!-- now re-process the application -->
292 <m:apply helm:xref="{@id}">
293 <m:csymbol>app</m:csymbol>
294 <!-- mode flat looks for siblings: call with the first child -->
295 <xsl:apply-templates mode="flat" select="*[1]"/>
300 <xsl:apply-templates mode="pure" select="."/>
305 <xsl:template name="gen_let">
306 <xsl:param name="init_pos" select="0"/>
307 <xsl:param name="from" select="0"/>
308 <xsl:for-each select="*[position()>$from and @sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')]">
310 <m:csymbol>let</m:csymbol>
311 <m:ci><xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="concat('h',position()+$init_pos)"/></xsl:with-param></xsl:call-template></m:ci>
312 <xsl:apply-templates mode="noannot" select="."/>
317 <xsl:template match="*" mode="previous">
319 <xsl:when test="//InnerTypes and(@sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX'))">
320 <m:ci>previous</m:ci>
323 <xsl:apply-templates select="." mode="pure"/>
326 <xsl:apply-templates mode="previous" select="following-sibling::*[1]"/>
329 <xsl:template match="*" mode="flat">
330 <xsl:param name="n" select="1"/>
331 <xsl:variable name="id" select="@id"/>
333 <!-- <xsl:when test="key('typeid',@id)"> -->
334 <!-- <xsl:when test="//InnerTypes/TYPE[@of=$id]"> -->
335 <xsl:when test="//InnerTypes and @sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')">
337 <xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="concat('h',$n)"/></xsl:with-param></xsl:call-template>
339 <xsl:apply-templates mode="flat" select="following-sibling::*[1]">
340 <xsl:with-param name="n" select="$n+1"/>
341 </xsl:apply-templates>
344 <xsl:apply-templates mode="pure" select="."/>
345 <xsl:apply-templates mode="flat" select="following-sibling::*[1]">
346 <xsl:with-param name="n" select="$n"/>
347 </xsl:apply-templates>
353 <!-- <xsl:template match="APPLY[CONST[
354 attribute::uri='cic:/Coq/Init/Logic/Conjunction/and_ind.con']]" mode="appflat">
356 <xsl:when test="count(child::*) > 4">
357 <m:apply helm:xref="{@id}">
358 <m:csymbol>app</m:csymbol>
359 <xsl:apply-templates mode="pure" select="*[1]"/>
363 <xsl:apply-templates mode="flat" select="*[5]"/>
367 <m:apply helm:xref="{@id}">
368 <m:csymbol>app</m:csymbol>
369 <xsl:apply-templates mode="flat" select="*[1]"/>