<!-- Proof objects -->
<!-- <xsl:key name="typeid" use="@of" match="TYPE"/> -->
+<xsl:key name="typeid" use="@of" match="TYPE"/>
<!-- ALL this elements does not have inner type -->
-<xsl:template match="LETIN|PROD|REL|SORT|VAR|META|CONST|MUTIND|MUTCONSTRUCT" mode="noannot">
-<xsl:apply-templates select="." mode="pure"/>
+<xsl:template match="PROD|SORT|MUTIND" mode="noannot">
+ <xsl:apply-templates select="." mode="pure"/>
+</xsl:template>
+
+<!-- Atomic elements that have an inner type iff the expected type -->
+<!-- is different from the synthesized type. -->
+<xsl:template match="REL|VAR|META|CONST|MUTCONSTRUCT" mode="noannot">
+ <xsl:variable name="id" select="@id"/>
+ <xsl:variable name="innertype_available">
+ <xsl:for-each select="$InnerTypes">
+ <xsl:if test="key('typeid',$id)/*">
+ <xsl:text>yes</xsl:text>
+ </xsl:if>
+ </xsl:for-each>
+ </xsl:variable>
+ <xsl:choose>
+ <xsl:when test="$naturalLanguage='yes' and @sort='Prop' and $innertype_available='yes'">
+ <m:apply helm:xref="{@id}">
+ <m:csymbol>proof</m:csymbol>
+ <xsl:apply-templates mode="proof_transform" select="."/>
+ <!-- <xsl:apply-templates mode="try_inductive" select="."/> -->
+ <xsl:for-each select="$InnerTypes">
+ <xsl:apply-templates mode="pure" select="key('typeid',$id)/*"/>
+ </xsl:for-each>
+ </m:apply>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:apply-templates select="." mode="pure"/>
+ </xsl:otherwise>
+ </xsl:choose>
</xsl:template>
<!-- ALL ELEMENTS WITH A TYPE ARE TRANSLATED AS A PROOF-ELEMENT -->
<!-- LAMBDA has inner type only if it is not nested inside another lambda -->
<xsl:template match="LAMBDA" mode="noannot">
<xsl:variable name="id" select="@id"/>
+ <xsl:variable name="innertype_available">
+ <xsl:for-each select="$InnerTypes">
+ <xsl:if test="key('typeid',$id)/*">
+ <xsl:text>yes</xsl:text>
+ </xsl:if>
+ </xsl:for-each>
+ </xsl:variable>
<xsl:choose>
- <xsl:when test="$naturalLanguage='yes' and @sort='Prop' and name(../..) != 'LAMBDA'">
+ <xsl:when test="$naturalLanguage='yes' and @sort='Prop' and $innertype_available='yes'">
<m:apply helm:xref="{@id}">
<m:csymbol>proof</m:csymbol>
<xsl:apply-templates mode="proof_transform" select="."/>
- <!-- <xsl:apply-templates mode="try_inductive" select="."/> -->
- <xsl:apply-templates mode="pure" select="$InnerTypes/InnerTypes/TYPE[@of=$id]/*"/>
+ <xsl:for-each select="$InnerTypes">
+ <xsl:apply-templates mode="pure" select="key('typeid',$id)/*"/>
+ </xsl:for-each>
</m:apply>
</xsl:when>
<xsl:otherwise>
</xsl:template>
<!-- ALL these elements have inner type -->
-<xsl:template match="CAST|APPLY|MUTCASE|FIX|COFIX" mode="noannot">
+<xsl:template match="LETIN|CAST|APPLY|MUTCASE|FIX|COFIX" mode="noannot">
<xsl:variable name="id" select="@id"/>
<xsl:choose>
<xsl:when test="$naturalLanguage='yes' and @sort='Prop'">
<m:csymbol>proof</m:csymbol>
<xsl:apply-templates mode="proof_transform" select="."/>
<!-- <xsl:apply-templates mode="try_inductive" select="."/> -->
- <xsl:apply-templates mode="pure" select="$InnerTypes/InnerTypes/TYPE[@of=$id]/*"/>
+ <xsl:for-each select="$InnerTypes">
+ <xsl:apply-templates mode="pure" select="key('typeid',$id)/*"/>
+ </xsl:for-each>
</m:apply>
</xsl:when>
<xsl:otherwise>
<xsl:choose>
<xsl:when test="name()='APPLY'">
- <xsl:apply-templates select="." mode="letin"/>
+ <!-- This is the case of an applicative expression wich is not
+ a proof but could contains proofs...
+ MODE LETIN OR MODE PURE ??? Big question -->
+ <xsl:apply-templates select="." mode="pure"/>
</xsl:when>
<xsl:otherwise>
<xsl:apply-templates select="." mode="pure"/>
</xsl:choose>
</xsl:template>
+<!-- si presuppone che il tipo induttivo non sia mutuamente
+ induttivo. Bisognerebbe andare a vedere l'ultimo parametro
+ del presunto "principio di induzione", tirare fuori il tipo induttivo
+ e vedere se il suo nome coincide con il prefisso di _ind.
+ Ad esempio nat_double_ind e' definito dall'utente. L'ultimo
+ parametro di nat_double_ind e' di tipo nat, e nat e' diverso
+ da nat_double. Per ora, verifico solo l'esistenza di nat_double,
+ ma questo, benche' non porti ad errore, non copre tutti i
+ casi per quelli mutuamente induttivi -->
+
<xsl:template mode="try_inductive" match="APPLY">
<xsl:variable name="id" select="@id"/>
<xsl:choose>
<xsl:variable name="uri" select="CONST[1]/@uri"/>
<xsl:choose>
<xsl:when test="contains($uri,'_ind.con')">
- <xsl:variable name="ind_name">
- <xsl:call-template name="get_name">
- <xsl:with-param name="uri" select="$uri"/>
- </xsl:call-template>
- </xsl:variable>
<xsl:variable name="ind_uri"
select="concat(substring-before($uri,'_ind.con'),'.ind')"/>
- <xsl:variable name="no_params">
- <xsl:call-template name="get_no_params">
- <xsl:with-param name="first_uri" select="$CICURI"/>
- <xsl:with-param name="second_uri" select="$uri"/>
- </xsl:call-template>
- </xsl:variable>
- <xsl:apply-templates mode="inductive" select=".">
- <xsl:with-param name="inductive_def_uri"
- select="$ind_uri"/>
- <xsl:with-param name="section_params" select="$no_params"/>
- <xsl:with-param name="inductive_def_index" select="1"/>
- <xsl:with-param name="inductive_def_name" select="$ind_name"/>
- </xsl:apply-templates>
+ <xsl:variable name="InductiveTypeUrl"><xsl:call-template name="URLofURI4getter"><xsl:with-param name="uri" select="$ind_uri"/></xsl:call-template></xsl:variable>
+ <xsl:variable name="inductive_def"
+ select="document($InductiveTypeUrl)/InductiveDefinition"/>
+ <!-- check if the corresponding inductive definition actually
+ exists -->
+ <xsl:choose>
+ <xsl:when test="$inductive_def">
+ <xsl:variable name="ind_name">
+ <xsl:call-template name="get_name">
+ <xsl:with-param name="uri" select="$uri"/>
+ </xsl:call-template>
+ </xsl:variable>
+ <xsl:variable name="no_params">
+ <xsl:call-template name="get_no_params">
+ <xsl:with-param name="first_uri" select="$CICURI"/>
+ <xsl:with-param name="second_uri" select="$uri"/>
+ </xsl:call-template>
+ </xsl:variable>
+ <xsl:apply-templates mode="inductive" select=".">
+ <xsl:with-param name="inductive_def_uri"
+ select="$ind_uri"/>
+ <xsl:with-param name="inductive_def"
+ select="$inductive_def"/>
+ <xsl:with-param name="section_params" select="$no_params"/>
+ <xsl:with-param name="inductive_def_index" select="1"/>
+ <xsl:with-param name="inductive_def_name" select="$ind_name"/>
+ </xsl:apply-templates>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:apply-templates mode="letin" select="."/>
+ </xsl:otherwise>
+ </xsl:choose>
</xsl:when>
<xsl:otherwise>
<xsl:apply-templates mode="letin" select="."/>
</xsl:choose>
</xsl:template>
+<xsl:template mode="eq_transitive" match="*">
+ <!-- <m:ci>eccomi-1: <xsl:value-of select="name()"/></m:ci> -->
+ <xsl:choose>
+ <xsl:when test="name()='APPLY'">
+ <!-- <m:ci>eccomi-2: <xsl:value-of select="CONST[1]/@uri"/></m:ci> -->
+ <xsl:variable name="id" select="@id"/>
+ <xsl:choose>
+ <!-- ricordarsi di trattare il parametro -->
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/CSetoids/CSetoid_basics/eq_transitive_unfolded.con'] and count(child::*) = 7">
+ <!-- <m:ci>eccomi-3</m:ci> -->
+ <xsl:apply-templates mode="eq_transitive" select="*[6]"/>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <xsl:apply-templates mode="eq_transitive" select="*[7]"/>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:call-template name="generate_side_proof">
+ <xsl:with-param name="proof" select="."/>
+ <xsl:with-param name="show_statement" select="0"/>
+ </xsl:call-template>
+ </xsl:otherwise>
+ </xsl:choose>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:call-template name="generate_side_proof">
+ <xsl:with-param name="proof" select="."/>
+ <xsl:with-param name="show_statement" select="0"/>
+ </xsl:call-template>
+ </xsl:otherwise>
+ </xsl:choose>
+</xsl:template>
+
+<xsl:template mode="diseq" match="*">
+ <xsl:param name="rel" select="'eq'"/>
+ <xsl:choose>
+ <xsl:when test="name()='APPLY'">
+ <xsl:variable name="id" select="@id"/>
+ <xsl:choose>
+ <!-- ricordarsi di trattare il parametro -->
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_transitive.con'] and count(child::*) = 7">
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'leq'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <xsl:apply-templates mode="diseq" select="*[7]">
+ <xsl:with-param name="rel" select="'leq'"/>
+ </xsl:apply-templates>
+ </xsl:when>
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_wdl.con'] and count(child::*) = 7">
+ <m:eq/>
+ <!-- <m:ci><xsl:value-of select="'eq'"/></m:ci> -->
+ <xsl:call-template name="generate_side_proof">
+ <xsl:with-param name="proof" select="*[7]"/>
+ <xsl:with-param name="show_statement" select="0"/>
+ </xsl:call-template>
+ <xsl:apply-templates mode="noannot" select="*[3]"/>
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'leq'"/>
+ </xsl:apply-templates>
+ </xsl:when>
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_less_trans.con'] and count(child::*) = 7">
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'leq'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <xsl:apply-templates mode="diseq" select="*[7]">
+ <xsl:with-param name="rel" select="'lt'"/>
+ </xsl:apply-templates>
+ </xsl:when>
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/less_leEq_trans.con'] and count(child::*) = 7">
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'lt'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <xsl:apply-templates mode="diseq" select="*[7]">
+ <xsl:with-param name="rel" select="'leq'"/>
+ </xsl:apply-templates>
+ </xsl:when>
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_wdr.con'] and count(child::*) = 7">
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'leq'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <xsl:apply-templates mode="diseq" select="*[7]">
+ <xsl:with-param name="rel" select="'eq'"/>
+ </xsl:apply-templates>
+ </xsl:when>
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/COrdField_axioms/less_transitive_unfolded.con'] and count(child::*) = 7">
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'lt'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <xsl:apply-templates mode="diseq" select="*[7]">
+ <xsl:with-param name="rel" select="'lt'"/>
+ </xsl:apply-templates>
+ </xsl:when>
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/COrdField_axioms/less_wdr.con'] and count(child::*) = 7">
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'lt'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <xsl:apply-templates mode="diseq" select="*[7]">
+ <xsl:with-param name="rel" select="'eq'"/>
+ </xsl:apply-templates>
+ </xsl:when>
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/COrdField_axioms/less_wdl.con'] and count(child::*) = 7">
+ <m:eq/>
+ <!-- <m:ci><xsl:value-of select="'eq'"/></m:ci> -->
+ <xsl:call-template name="generate_side_proof">
+ <xsl:with-param name="proof" select="*[7]"/>
+ <xsl:with-param name="show_statement" select="0"/>
+ </xsl:call-template>
+ <xsl:apply-templates mode="noannot" select="*[3]"/>
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'lt'"/>
+ </xsl:apply-templates>
+ </xsl:when>
+ <!--
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/CSetoids/CSetoid_basics/eq_transitive_unfolded.con'] and count(child::*) = 7">
+ <xsl:apply-templates mode="diseq" select="*[6]"/>
+ <m:eq/>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <m:eq/>
+ <xsl:apply-templates mode="diseq" select="*[7]"/>
+ </xsl:when>
+ -->
+ <xsl:otherwise>
+ <xsl:element name="{concat('m:',$rel)}"/>
+ <!-- <m:ci><xsl:value-of select="$rel"/></m:ci> -->
+ <xsl:call-template name="generate_side_proof">
+ <xsl:with-param name="proof" select="."/>
+ <xsl:with-param name="show_statement" select="0"/>
+ </xsl:call-template>
+ </xsl:otherwise>
+ </xsl:choose>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:element name="{concat('m:',$rel)}"/>
+ <!-- <m:ci><xsl:value-of select="$rel"/></m:ci> -->
+ <xsl:call-template name="generate_side_proof">
+ <xsl:with-param name="proof" select="."/>
+ <xsl:with-param name="show_statement" select="0"/>
+ </xsl:call-template>
+ </xsl:otherwise>
+ </xsl:choose>
+</xsl:template>
<xsl:template mode="proof_transform" match="*">
+ <xsl:choose>
+ <xsl:when test="name()='APPLY'">
<xsl:variable name="id" select="@id"/>
<xsl:choose>
- <!-- NATIND 3 parametri -->
- <xsl:when test="name()='APPLY' and CONST[
- attribute::uri='cic:/Coq/Init/Datatypes/nat_ind.con'] and count(child::*) = 4">
+ <!-- Algebra equality (eq_transitive_unfolded) -->
+ <!-- It requires a special mode "eq_transitive"-->
+ <!-- togliere il parametro -->
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/CSetoids/CSetoid_basics/eq_transitive_unfolded.con'] and count(child::*) = 7">
<m:apply>
- <m:csymbol>nat_ind</m:csymbol>
- <xsl:apply-templates mode="noannot" select="*[3]"/>
- <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <m:csymbol>eq_chain</m:csymbol>
+ <xsl:apply-templates mode="noannot" select="*[3]"/>
+ <xsl:apply-templates mode="eq_transitive" select="*[6]"/>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <xsl:apply-templates mode="eq_transitive" select="*[7]"/>
+ <xsl:apply-templates mode="noannot" select="*[5]"/>
</m:apply>
</xsl:when>
- <!-- NATIND 4 parametri (nuova versione) -->
- <!--
- <xsl:when test="name()='APPLY' and CONST[
- attribute::uri='cic:/Coq/Init/Datatypes/nat_ind.con']
- and count(child::*) = 5
- and name(*[4])='LAMBDA'
- and name(*[4]/target/*[1])='LAMBDA'">
+ <!-- Algebra disequalities -->
+ <!-- It requires a special mode "diseq"-->
+ <!-- togliere il parametro -->
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_transitive.con'] and count(child::*) = 7">
+ <m:apply>
+ <m:csymbol>diseq_chain</m:csymbol>
+ <xsl:apply-templates mode="noannot" select="*[3]"/>
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'leq'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <xsl:apply-templates mode="diseq" select="*[7]">
+ <xsl:with-param name="rel" select="'leq'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[5]"/>
+ </m:apply>
+ </xsl:when>
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_wdl.con'] and count(child::*) = 7">
<m:apply>
- <m:csymbol>nat_ind_complete</m:csymbol>
- <xsl:apply-templates mode="noannot" select="*[5]"/>
- <xsl:apply-templates mode="noannot" select="*[3]"/>
- <m:ci><xsl:value-of select="*[4]/target/@binder"/></m:ci>
- <m:ci><xsl:value-of select="*[4]/target/*[1]/target/@binder"/></m:ci>
- <xsl:apply-templates mode="noannot" select="*[4]/target/*[1]/source/*"/>
- <xsl:apply-templates mode="noannot" select="*[4]/target/*[1]/target/*"/>
+ <m:csymbol>diseq_chain</m:csymbol>
+ <xsl:apply-templates mode="noannot" select="*[5]"/>
+ <m:eq/>
+ <!-- <m:ci><xsl:value-of select="'eq'"/></m:ci> -->
+ <xsl:call-template name="generate_side_proof">
+ <xsl:with-param name="proof" select="*[7]"/>
+ <xsl:with-param name="show_statement" select="0"/>
+ </xsl:call-template>
+ <xsl:apply-templates mode="noannot" select="*[3]"/>
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'leq'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ </m:apply>
+ </xsl:when>
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_less_trans.con'] and count(child::*) = 7">
+ <m:apply>
+ <m:csymbol>diseq_chain</m:csymbol>
+ <xsl:apply-templates mode="noannot" select="*[3]"/>
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'leq'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <xsl:apply-templates mode="diseq" select="*[7]">
+ <xsl:with-param name="rel" select="'lt'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[5]"/>
+ </m:apply>
+ </xsl:when>
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/less_leEq_trans.con'] and count(child::*) = 7">
+ <m:apply>
+ <m:csymbol>diseq_chain</m:csymbol>
+ <xsl:apply-templates mode="noannot" select="*[3]"/>
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'lt'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <xsl:apply-templates mode="diseq" select="*[7]">
+ <xsl:with-param name="rel" select="'leq'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[5]"/>
+ </m:apply>
+ </xsl:when>
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/Basic_Properties_of_leEq/leEq_wdr.con'] and count(child::*) = 7">
+ <m:apply>
+ <m:csymbol>diseq_chain</m:csymbol>
+ <xsl:apply-templates mode="noannot" select="*[3]"/>
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'leq'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <xsl:apply-templates mode="diseq" select="*[7]">
+ <xsl:with-param name="rel" select="'eq'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[5]"/>
+ </m:apply>
+ </xsl:when>
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/COrdField_axioms/less_transitive_unfolded.con'] and count(child::*) = 7">
+ <m:apply>
+ <m:csymbol>diseq_chain</m:csymbol>
+ <xsl:apply-templates mode="noannot" select="*[3]"/>
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'lt'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <xsl:apply-templates mode="diseq" select="*[7]">
+ <xsl:with-param name="rel" select="'lt'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[5]"/>
+ </m:apply>
+ </xsl:when>
+ <!-- togliere il parametro -->
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/COrdField_axioms/less_wdr.con'] and count(child::*) = 7">
+ <m:apply>
+ <m:csymbol>diseq_chain</m:csymbol>
+ <xsl:apply-templates mode="noannot" select="*[3]"/>
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'lt'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
+ <xsl:apply-templates mode="diseq" select="*[7]">
+ <xsl:with-param name="rel" select="'eq'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[5]"/>
+ </m:apply>
+ </xsl:when>
+ <!-- togliere il parametro -->
+ <xsl:when test="CONST[attribute::uri='cic:/Algebra/COrdFields/COrdField_axioms/less_wdl.con'] and count(child::*) = 7">
+ <m:apply>
+ <m:csymbol>diseq_chain</m:csymbol>
+ <xsl:apply-templates mode="noannot" select="*[5]"/>
+ <m:eq/>
+ <!-- <m:ci><xsl:value-of select="'eq'"/></m:ci> -->
+ <xsl:call-template name="generate_side_proof">
+ <xsl:with-param name="proof" select="*[7]"/>
+ <xsl:with-param name="show_statement" select="0"/>
+ </xsl:call-template>
+ <xsl:apply-templates mode="noannot" select="*[3]"/>
+ <xsl:apply-templates mode="diseq" select="*[6]">
+ <xsl:with-param name="rel" select="'lt'"/>
+ </xsl:apply-templates>
+ <xsl:apply-templates mode="noannot" select="*[4]"/>
</m:apply>
</xsl:when>
- -->
<!-- EQUALITY -->
- <xsl:when test="name()= 'APPLY' and CONST[
+ <xsl:when test="CONST[
attribute::uri='cic:/Coq/Init/Logic/Equality/eq_ind.con' or
attribute::uri='cic:/Coq/Init/Logic/Logic_lemmas/eq_ind_r.con' or
attribute::uri='cic:/Coq/Init/Logic_Type/eqT_ind.con' or
<xsl:apply-templates mode="noannot" select="*[5]"/>
<xsl:apply-templates mode="pure" select="*[3]"/>
<xsl:apply-templates mode="pure" select="*[6]"/>
- <xsl:apply-templates mode="pure" select="*[7]"/>
+ <xsl:call-template name="generate_side_proof">
+ <xsl:with-param name="proof" select="*[7]"/>
+ </xsl:call-template>
+ <!-- <xsl:apply-templates mode="proof_transform" select="*[7]"/> -->
</m:apply>
</xsl:when>
<!-- EQUALITY with extra-parameters -->
- <xsl:when test="name()= 'APPLY' and CONST[
+ <xsl:when test="CONST[
attribute::uri='cic:/Coq/Init/Logic/Equality/eq_ind.con' or
attribute::uri='cic:/Coq/Init/Logic/Logic_lemmas/eq_ind_r.con' or
attribute::uri='cic:/Coq/Init/Logic_Type/eqT_ind.con' or
<xsl:apply-templates mode="noannot" select="*[5]"/>
<xsl:apply-templates mode="pure" select="*[3]"/>
<xsl:apply-templates mode="pure" select="*[6]"/>
- <xsl:apply-templates mode="pure" select="*[7]"/>
+ <xsl:call-template name="generate_side_proof">
+ <xsl:with-param name="proof" select="*[7]"/>
+ </xsl:call-template>
+ <!-- <xsl:apply-templates mode="pure" select="*[7]"/> -->
</m:apply>
<xsl:apply-templates mode="noannot" select="*[position()>7]"/>
</m:apply>
</m:ci>
<xsl:apply-templates mode="pure" select="*[3]"/>
<xsl:apply-templates mode="pure" select="*[6]"/>
- <xsl:apply-templates mode="pure" select="*[7]"/>
+ <xsl:call-template name="generate_side_proof">
+ <xsl:with-param name="proof" select="*[7]"/>
+ </xsl:call-template>
+ <!-- <xsl:apply-templates mode="pure" select="*[7]"/> -->
</m:apply>
<xsl:apply-templates mode="flat" select="*[8]">
<xsl:with-param name="n">
<m:csymbol>rw_step</m:csymbol>
<xsl:apply-templates mode="pure" select="*[5]"/>
<xsl:apply-templates mode="pure" select="*[3]"/>
- <xsl:apply-templates mode="pure" select="*[6]"/>
- <xsl:apply-templates mode="pure" select="*[7]"/>
+ <xsl:apply-templates mode="pure" select="*[6]"/>
+ <xsl:call-template name="generate_side_proof">
+ <xsl:with-param name="proof" select="*[7]"/>
+ </xsl:call-template>
+ <!-- <xsl:apply-templates mode="pure" select="*[7]"/> -->
</m:apply>
<xsl:apply-templates mode="flat" select="*[8]">
<xsl:with-param name="n">
</xsl:choose>
</xsl:when>
<!-- False_ind -->
- <xsl:when test="name()= 'APPLY' and CONST[
+ <xsl:when test="CONST[
attribute::uri='cic:/Coq/Init/Logic/False_ind.con'] and
count(child::*) = 3">
<m:apply helm:xref="{@id}">
</xsl:when>
<!-- gestire meglio il caso di and_ind quando la prova
non e' della forma \x.\y.M -->
- <xsl:when test="name()= 'APPLY' and CONST[
+ <xsl:when test="CONST[
attribute::uri='cic:/Coq/Init/Logic/Conjunction/and_ind.con']
and count(child::*) = 6
and name(*[5])='LAMBDA'
<xsl:apply-templates mode="proof_transform" select="*[5]/target/LAMBDA/target/*"/>
</m:apply>
</xsl:when>
- <xsl:when test="name()= 'APPLY' and CONST[
+ <xsl:when test="CONST[
attribute::uri='cic:/Coq/Init/Logic/Disjunction/or_ind.con']
and count(child::*) = 7">
<xsl:choose>
<m:apply helm:xref="{@id}">
<m:csymbol>full_or_ind</m:csymbol>
<xsl:apply-templates mode="noannot" select="*[7]"/>
- <xsl:apply-templates mode="pure"
- select="$InnerTypes/InnerTypes/TYPE[@of=$id]/*"/>
+ <xsl:for-each select="$InnerTypes">
+ <xsl:apply-templates mode="pure" select="key('typeid',$id)/*[1]"/>
+ </xsl:for-each>
<m:apply>
<m:csymbol>left_case</m:csymbol>
<m:bvar>
<m:apply helm:xref="{@id}">
<m:csymbol>or_ind</m:csymbol>
<xsl:apply-templates mode="noannot" select="*[7]"/>
- <xsl:apply-templates mode="pure"
- select="$InnerTypes/InnerTypes/TYPE[@of=$id]/*"/>
+ <xsl:for-each select="$InnerTypes">
+ <xsl:apply-templates mode="pure" select="key('typeid',$id)/*[1]"/>
+ </xsl:for-each>
<xsl:apply-templates mode="pure" select="*[5]"/>
<xsl:apply-templates mode="pure" select="*[6]"/>
</m:apply>
</xsl:choose>
</xsl:when>
<!-- ex_ind, exT_ind -->
- <xsl:when test="name()= 'APPLY'
- and (CONST[attribute::uri='cic:/Coq/Init/Logic_Type/exT_ind.con'] or
+ <xsl:when test="(CONST[attribute::uri='cic:/Coq/Init/Logic_Type/exT_ind.con'] or
CONST[attribute::uri='cic:/Coq/Init/Logic/First_order_quantifiers/ex_ind.con'])
and count(child::*) = 6
and name(*[5])='LAMBDA'
<xsl:apply-templates mode="proof_transform" select="*[5]/target/LAMBDA/target/*"/>
</m:apply>
</xsl:when>
- <xsl:when test="(name()='APPLY') and (name(*[1])='CONST')">
+ <xsl:when test="name(*[1])='CONST'">
<xsl:apply-templates mode="try_inductive" select="."/>
</xsl:when>
+ <!-- patch temporanea per la gestione di redex -->
+ <xsl:when test="name(*[1])='LAMBDA' and count(child::*)=2
+ and *[2]/@sort='Prop'">
+ <m:apply helm:xref="{@id}">
+ <m:csymbol>letin</m:csymbol>
+ <m:apply>
+ <m:csymbol>let</m:csymbol>
+ <m:ci>
+ <xsl:call-template name="insert_subscript">
+ <xsl:with-param name="node_value">
+ <xsl:value-of select="*[1]/target/@binder"/>
+ </xsl:with-param>
+ </xsl:call-template>
+ </m:ci>
+ <xsl:apply-templates mode="noannot" select="*[2]"/>
+ </m:apply>
+ <xsl:apply-templates mode="proof_transform" select="*[1]/target/*[1]"/>
+ </m:apply>
+ </xsl:when>
<xsl:otherwise>
- <xsl:choose>
- <xsl:when test="name()='APPLY'">
- <xsl:apply-templates select="." mode="letin"/>
- </xsl:when>
- <xsl:otherwise>
- <xsl:apply-templates select="." mode="pure"/>
- </xsl:otherwise>
- </xsl:choose>
+ <xsl:apply-templates select="." mode="letin"/>
</xsl:otherwise>
</xsl:choose>
+ </xsl:when>
+ <xsl:when test="name()='LAMBDA'">
+ <xsl:choose>
+ <xsl:when test="(name(target/*[1])='APPLY' and
+ name(target/*[1]/*[1])='CONST' and
+ (target/*[1]/*[1]/@uri='cic:/Coq/Init/Logic_Type/eqT_ind.con' or
+ target/*[1]/*[1]/@uri='cic:/Coq/Init/Logic_Type/eqT_ind_r.con' or
+ target/*[1]/*[1]/@uri='cic:/Coq/Zarith/auxiliary/eqT_ind_r.con')
+ and count(target/*[1]/*) = 8
+ and name(target/*[1]/*[8])='REL'
+ and target/@binder = target/*[1]/*[8]/@binder )">
+ <m:apply>
+ <m:csymbol>rw_step</m:csymbol>
+ <xsl:apply-templates mode="noannot" select="target/*[1]/*[5]"/>
+ <xsl:apply-templates mode="pure" select="target/*[1]/*[3]"/>
+ <xsl:apply-templates mode="pure" select="target/*[1]/*[6]"/>
+ <xsl:call-template name="generate_side_proof">
+ <xsl:with-param name="proof" select="target/*[1]/*[7]"/>
+ </xsl:call-template>
+ <!-- <xsl:apply-templates mode="proof_transform" select="target/*[1]/*[7]"/> -->
+ </m:apply>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:apply-templates mode="pure" select="."/>
+ </xsl:otherwise>
+ </xsl:choose>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:apply-templates select="." mode="pure"/>
+ </xsl:otherwise>
+ </xsl:choose>
</xsl:template>
+<xsl:template name="is_simple">
+ <xsl:param name="proof" select="/.."/>
+ <xsl:value-of select="(count($proof/*)=0) or ((name($proof)='APPLY') and (count($proof/*[@sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')]) = 0))"/>
+</xsl:template>
+
+<xsl:template name="generate_side_proof">
+ <xsl:param name="proof" select="/.."/>
+ <xsl:param name="show_statement" select="1"/>
+<!--
+ <xsl:variable name="is_simple">
+ <xsl:call-template name="is_simple">
+ <xsl:with-param name="proof" select="$proof"/>
+ </xsl:call-template>
+ </xsl:variable> -->
+<xsl:variable name="is_simple" select="(count($proof/*)=0) or ((name($proof)='APPLY') and (count($proof/*[@sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')]) = 0))"/>
+ <xsl:choose>
+ <xsl:when test="$is_simple">
+ <xsl:choose>
+ <xsl:when test="name($proof)='APPLY'">
+ <xsl:apply-templates select="$proof" mode="letin"/>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:apply-templates select="$proof" mode="pure"/>
+ </xsl:otherwise>
+ </xsl:choose>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:variable name="id" select="@id"/>
+ <m:apply helm:xref="{@id}">
+ <xsl:choose>
+ <xsl:when test="$show_statement = 1">
+ <m:csymbol>proof</m:csymbol>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:csymbol>side_proof</m:csymbol>
+ </xsl:otherwise>
+ </xsl:choose>
+ <xsl:apply-templates mode="proof_transform" select="$proof"/>
+ <xsl:for-each select="$InnerTypes">
+ <xsl:apply-templates mode="pure" select="key('typeid',$proof/@id)/*"/>
+ </xsl:for-each>
+ </m:apply>
+ <!-- <xsl:apply-templates select="$proof" mode="noannot"/> -->
+ </xsl:otherwise>
+ </xsl:choose>
+</xsl:template>
<xsl:template match="APPLY" mode="letin">
- <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')])"/>
+ <xsl:variable name="no_subproofs">
+ <xsl:variable name="stars">
+ <xsl:for-each select="*[@sort='Prop']">
+ <xsl:variable name="id" select="@id"/>
+ <xsl:variable name="innertype_available">
+ <xsl:for-each select="$InnerTypes">
+ <xsl:if test="key('typeid',$id)/*">
+ <xsl:text>yes</xsl:text>
+ </xsl:if>
+ </xsl:for-each>
+ </xsl:variable>
+ <xsl:if test="name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX' or ((name(.)='REL' or name(.)='VAR' or name(.)='META' or name(.)='CONST' or name(.)='MUTCONSTRUCT') and $innertype_available='yes')">
+ <!-- We generate one star for each subproof -->
+ <xsl:text>*</xsl:text>
+ </xsl:if>
+ </xsl:for-each>
+ </xsl:variable>
+ <xsl:value-of select="string-length($stars)"/>
+ </xsl:variable>
<!-- <m:cn><xsl:value-of select="$no_subproofs"/></m:cn> -->
<xsl:choose>
<xsl:when test="$naturalLanguage='yes' and ($no_subproofs = 1)">
<m:apply helm:xref="{@id}">
<m:csymbol>letin1</m:csymbol>
- <xsl:apply-templates mode="noannot" select="*[@sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')]"/>
+ <xsl:for-each select="*[@sort='Prop']">
+ <xsl:variable name="id" select="@id"/>
+ <xsl:variable name="innertype_available">
+ <xsl:for-each select="$InnerTypes">
+ <xsl:if test="key('typeid',$id)/*">
+ <xsl:text>yes</xsl:text>
+ </xsl:if>
+ </xsl:for-each>
+ </xsl:variable>
+ <xsl:if test="name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX' or ((name(.)='REL' or name(.)='VAR' or name(.)='META' or name(.)='CONST' or name(.)='MUTCONSTRUCT') and $innertype_available='yes')">
+ <xsl:apply-templates mode="noannot" select="."/>
+ </xsl:if>
+ </xsl:for-each>
<!-- now re-process the application -->
<m:apply helm:xref="{@id}">
<m:csymbol>app</m:csymbol>
</m:apply>
</xsl:when>
<xsl:otherwise>
- <xsl:apply-templates mode="pure" select="."/>
+ <xsl:choose>
+ <xsl:when test="@sort='Prop'">
+ <m:apply>
+ <m:csymbol>app</m:csymbol>
+ <xsl:apply-templates mode="erase" select="*[1]"/>
+ </m:apply>
+ </xsl:when>
+ <xsl:otherwise>
+ <xsl:apply-templates mode="pure" select="."/>
+ </xsl:otherwise>
+ </xsl:choose>
</xsl:otherwise>
</xsl:choose>
</xsl:template>
<xsl:template name="gen_let">
<xsl:param name="init_pos" select="0"/>
<xsl:param name="from" select="0"/>
- <xsl:for-each select="*[position()>$from and @sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')]">
- <m:apply>
- <m:csymbol>let</m:csymbol>
- <m:ci><xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="concat('h',position()+$init_pos)"/></xsl:with-param></xsl:call-template></m:ci>
- <xsl:apply-templates mode="noannot" select="."/>
- </m:apply>
+ <xsl:for-each select="*[position()>$from and @sort='Prop']">
+ <xsl:variable name="id" select="@id"/>
+ <xsl:variable name="innertype_available">
+ <xsl:for-each select="$InnerTypes">
+ <xsl:if test="key('typeid',$id)/*">
+ <xsl:text>yes</xsl:text>
+ </xsl:if>
+ </xsl:for-each>
+ </xsl:variable>
+ <xsl:if test="name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX' or ((name(.)='REL' or name(.)='VAR' or name(.)='META' or name(.)='CONST' or name(.)='MUTCONSTRUCT') and $innertype_available='yes')">
+ <m:apply>
+ <m:csymbol>let</m:csymbol>
+ <m:ci><xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="concat('h',position()+$init_pos)"/></xsl:with-param></xsl:call-template></m:ci>
+ <xsl:apply-templates mode="noannot" select="."/>
+ </m:apply>
+ </xsl:if>
</xsl:for-each>
</xsl:template>
+<xsl:template match="*" mode="erase">
+ <xsl:choose>
+ <xsl:when test="@sort='Prop' or $naturalLanguage='no'">
+ <xsl:apply-templates mode="pure" select="."/>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:ci>.</m:ci>
+ </xsl:otherwise>
+ </xsl:choose>
+ <xsl:apply-templates mode="erase" select="following-sibling::*[1]"/>
+</xsl:template>
+
<xsl:template match="*" mode="previous">
+ <xsl:variable name="innertype_available">
+ <xsl:variable name="id" select="@id"/>
+ <xsl:for-each select="$InnerTypes">
+ <xsl:if test="key('typeid',$id)/*">
+ <xsl:text>yes</xsl:text>
+ </xsl:if>
+ </xsl:for-each>
+ </xsl:variable>
<xsl:choose>
- <xsl:when test="$naturalLanguage='yes' and(@sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX'))">
+ <xsl:when test="@sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX' or ((name(.)='REL' or name(.)='VAR' or name(.)='META' or name(.)='CONST' or name(.)='MUTCONSTRUCT') and $innertype_available='yes'))">
<m:ci>previous</m:ci>
</xsl:when>
<xsl:otherwise>
- <xsl:apply-templates select="." mode="pure"/>
+ <!-- forse bisognerebbe trattare solo l'elemento di testa -->
+ <xsl:choose>
+ <xsl:when test="@sort='Prop' or $naturalLanguage='no'">
+ <xsl:apply-templates mode="pure" select="."/>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:ci>.</m:ci>
+ </xsl:otherwise>
+ </xsl:choose>
+ <!-- <xsl:apply-templates select="." mode="pure"/> -->
</xsl:otherwise>
</xsl:choose>
<xsl:apply-templates mode="previous" select="following-sibling::*[1]"/>
<xsl:template match="*" mode="flat">
<xsl:param name="n" select="1"/>
<xsl:variable name="id" select="@id"/>
+ <xsl:variable name="innertype_available">
+ <xsl:for-each select="$InnerTypes">
+ <xsl:if test="key('typeid',$id)/*">
+ <xsl:text>yes</xsl:text>
+ </xsl:if>
+ </xsl:for-each>
+ </xsl:variable>
<xsl:choose>
- <!-- <xsl:when test="key('typeid',@id)"> -->
- <!-- <xsl:when test="$InnerTypes/InnerTypes/TYPE[@of=$id]"> -->
- <xsl:when test="$naturalLanguage='yes' and @sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX')">
+ <xsl:when test="$naturalLanguage='yes' and @sort='Prop' and (name(.)='LAMBDA' or name(.)='LETIN' or name(.)='APPLY' or name(.)='MUTCASE' or name(.)='FIX' or name(.)='COFIX' or ((name(.)='REL' or name(.)='VAR' or name(.)='META' or name(.)='CONST' or name(.)='MUTCONSTRUCT') and $innertype_available='yes'))">
<m:ci>
<xsl:call-template name="insert_subscript"><xsl:with-param name="node_value"><xsl:value-of select="concat('h',$n)"/></xsl:with-param></xsl:call-template>
</m:ci>
</xsl:apply-templates>
</xsl:when>
<xsl:otherwise>
- <xsl:apply-templates mode="pure" select="."/>
+ <xsl:choose>
+ <xsl:when test="name()='REL' or @sort='Prop' or $naturalLanguage='no'">
+ <xsl:apply-templates mode="pure" select="."/>
+ </xsl:when>
+ <xsl:otherwise>
+ <m:ci>.</m:ci>
+ </xsl:otherwise>
+ </xsl:choose>
+ <!-- <xsl:apply-templates mode="pure" select="."/> -->
<xsl:apply-templates mode="flat" select="following-sibling::*[1]">
<xsl:with-param name="n" select="$n"/>
</xsl:apply-templates>
</xsl:template>
<!-- Auxiliary functions -->
+<!-- OMDOC: now we have name_of_uri generalized on the extension that -->
+<!-- can replace the next template -->
<xsl:template name="get_name">
<xsl:param name="uri" select="''"/>
<xsl:variable name="sub_after" select="substring-after($uri,'/')"/>
</xsl:stylesheet>
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projects / helm.git / blobdiff