Complete management of inductive types.

[helm.git] / helm / style / content_to_html.xsl

diff --git a/helm/style/content_to_html.xsl b/helm/style/content_to_html.xsl
index 9de7d48962cfe82ab3522e65dfd56f9db15cd66b..028f65504cfa970ec95bd0e6dfa5f299ad62c784 100644 (file)
--- a/helm/style/content_to_html.xsl
+++ b/helm/style/content_to_html.xsl
@@ -55,7 +55,7 @@
        media-type="text/html"
        doctype-public="-//W3C//DTD XHTML 1.0 Transitional//EN" />
 
-<xsl:variable name="framewidth" select="36"/>
+<xsl:variable name="framewidth" select="45"/>
 
 <xsl:template match="/">
  <xsl:param name="current_indent" select="0"/>
@@ -261,6 +261,11 @@
        <FONT color="red">&#x00a0;proves&#x00a0;</FONT>
        <xsl:apply-templates mode="inline" select="*[position()=3]"/>
     </xsl:when>
+    <!-- false_ind -->
+    <xsl:when test="$name='false_ind'">
+    <xsl:apply-templates mode="inline" select="*[3]"/>
+    <FONT color="red">Contradiction.</FONT>
+    </xsl:when>
     <!-- and_ind -->
     <xsl:when test="$name='and_ind'">
      <FONT color="red">From&#x00a0;</FONT>
@@ -628,16 +633,47 @@
          <xsl:apply-templates select="*[2]"/>
         </xsl:otherwise>
        </xsl:choose>
+       <xsl:variable name="charlength_first">
+        <xsl:apply-templates select="*[3]" mode="charcount"/>
+       </xsl:variable>
+       <xsl:variable name="charlength_second">
+        <xsl:apply-templates select="*[4]" mode="charcount"/>
+       </xsl:variable>
+       <xsl:variable name="charlength_side_proof">
+        <xsl:apply-templates select="*[5]" mode="charcount"/>
+       </xsl:variable>
+       <xsl:variable name="split1"
+          select="$charlength_first + $charlength_second > $framewidth"/>
+       <xsl:variable name="split2"
+          select="$charlength_second + $charlength_side_proof > $framewidth"/>
+     <!-- <xsl:value-of select="$current_indent"/> -->
+     <!-- <xsl:value-of select="$charlength"/> -->
        <br/>
        <xsl:call-template name="make_indent">
         <xsl:with-param name="current_indent" select="$current_indent"/> 
        </xsl:call-template>
        <FONT color="red">Rewrite&#x00a0;</FONT>
-       <xsl:apply-templates select="*[3]"/>
-       <FONT color="red">&#x00a0;with&#x00a0;</FONT>
-       <xsl:apply-templates select="*[4]"/>
-       <FONT color="red">&#x00a0;by&#x00a0;</FONT>
-       <xsl:apply-templates select="*[5]"/>
+       <xsl:apply-templates mode="inline" select="*[3]"/>
+       <xsl:text>&#x00a0;</xsl:text>
+       <xsl:if test="$split1">
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent"/> 
+       </xsl:call-template>
+       </xsl:if>
+       <FONT color="red">with&#x00a0;</FONT>
+       <xsl:apply-templates mode="inline" select="*[4]"/>
+       <xsl:text>&#x00a0;</xsl:text>
+       <xsl:if test="$split2">
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent"/> 
+       </xsl:call-template>
+       </xsl:if>
+       <FONT color="red">by&#x00a0;</FONT>
+       <xsl:apply-templates select="*[5]">
+        <xsl:with-param name="current_indent" select="$current_indent+5"/>
+       </xsl:apply-templates>
       </xsl:when>
       <!-- rewrite and apply -->
       <xsl:when test="$name='rewrite_and_apply'">
@@ -651,6 +687,156 @@
        <FONT color="red">Then apply it to&#x00a0;</FONT>
        <xsl:apply-templates select="*[position()>2]"/>
       </xsl:when>
+      <!-- by_induction -->
+      <xsl:when test="$name='by_induction'">
+       <FONT color="red">We prove&#x00a0;</FONT>
+       <xsl:apply-templates select="../*[3]">
+        <xsl:with-param name="current_indent" select="$current_indent+18"/>
+       </xsl:apply-templates>
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent"/> 
+       </xsl:call-template>
+       <FONT color="red">by induction on&#x00a0;</FONT>
+       <xsl:apply-templates select="*[position()=last()]/*[position()=last()]">
+        <xsl:with-param name="current_indent" select="$current_indent+30"/>
+       </xsl:apply-templates>
+       <!-- 
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent"/> 
+       </xsl:call-template>
+       <xsl:text>The induction property is</xsl:text>
+       <br/> 
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent"/> 
+       </xsl:call-template>
+       <xsl:apply-templates select="*[3]">
+        <xsl:with-param name="current_indent" select="$current_indent"/>
+       </xsl:apply-templates>
+       -->
+       <xsl:apply-templates 
+            select="*[position()>3 and not(position()=last())]">
+        <xsl:with-param name="current_indent" select="$current_indent+4"/>
+       </xsl:apply-templates>
+       <!-- <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent"/> 
+       </xsl:call-template>
+       <xsl:text>End induction</xsl:text> -->
+      </xsl:when>
+      <!-- inductive_case -->
+      <xsl:when test="$name='inductive_case'">
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent"/> 
+       </xsl:call-template>
+       <FONT color="red">Case&#x00a0;</FONT>
+       <xsl:apply-templates select="*[2]">
+        <xsl:with-param name="current_indent" select="$current_indent +10"/>
+       </xsl:apply-templates>
+       <xsl:if test="*[3]/*[position()>1]">
+        <br/>
+        <xsl:call-template name="make_indent">
+         <xsl:with-param name="current_indent" select="$current_indent+4"/> 
+        </xsl:call-template>
+        <FONT color="red">By induction hypothesis, we have:</FONT>
+        <xsl:for-each select="*[3]/*[position()>1]">
+         <br/>
+         <xsl:call-template name="make_indent">
+          <xsl:with-param name="current_indent" select="$current_indent + 4"/> 
+         </xsl:call-template>
+         <xsl:text>(</xsl:text>
+         <xsl:apply-templates select="m:ci"/>
+         <xsl:text>)&#x00a0;</xsl:text>
+         <xsl:apply-templates select="m:type">
+          <xsl:with-param name="current_indent" select="$current_indent + 8"/>
+         </xsl:apply-templates>
+        </xsl:for-each>
+       </xsl:if>
+       <br/>
+        <xsl:call-template name="make_indent">
+         <xsl:with-param name="current_indent" select="$current_indent + 4"/> 
+        </xsl:call-template>
+       <xsl:apply-templates select="*[4]">
+        <xsl:with-param name="current_indent" select="$current_indent +4"/>
+       </xsl:apply-templates>
+       <!-- <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent"/> 
+       </xsl:call-template>
+       <xsl:text>End Case</xsl:text> -->
+      </xsl:when>
+      <!-- case_lhs  -->
+      <xsl:when test="$name='case_lhs'">
+       <xsl:choose>
+        <xsl:when test="count(*)=2">
+         <xsl:apply-templates mode="inline" select="*[2]"/>
+        </xsl:when>
+        <xsl:otherwise>
+         <xsl:text>(</xsl:text>
+         <xsl:apply-templates mode="inline" select="*[2]"/>
+         <xsl:for-each select="m:bvar">
+          <xsl:text>&#x00a0;</xsl:text>
+          <xsl:apply-templates mode="inline" select="*[1]"/>
+          <xsl:text>:</xsl:text>
+          <xsl:apply-templates mode="inline" select="m:type/*[1]"/>
+         </xsl:for-each>
+         <xsl:text>)</xsl:text>
+        </xsl:otherwise>
+       </xsl:choose>
+      </xsl:when>
+      <!-- nat_ind -->
+      <xsl:when test="$name='nat_ind_complete'">
+       <FONT color="red">By induction on&#x00a0;</FONT>
+       <xsl:apply-templates select="*[2]"/>:
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent"/> 
+       </xsl:call-template>
+       <xsl:text>0&#x00a0;</xsl:text>
+       <FONT FACE="Symbol" mathcolor="green">&#222;</FONT>
+       <xsl:apply-templates select="*[3]">
+        <xsl:with-param name="current_indent" select="$current_indent + 8"/>
+       </xsl:apply-templates>
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent"/> 
+       </xsl:call-template>
+       <xsl:text>S(</xsl:text>
+       <xsl:apply-templates select="*[4]"/>
+       <xsl:text>)&#x00a0;</xsl:text>
+       <FONT FACE="Symbol" mathcolor="green">&#222;</FONT>
+       <FONT color="red">Assume by induction</FONT>
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent +10"/> 
+       </xsl:call-template>
+       <xsl:text>(</xsl:text>
+       <xsl:apply-templates select="*[5]"/>
+       <xsl:text>)</xsl:text>
+       <xsl:apply-templates select="*[6]">
+        <xsl:with-param name="current_indent" select="$current_indent + 14"/>
+       </xsl:apply-templates>
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent +10"/> 
+       </xsl:call-template>
+       <xsl:apply-templates select="*[7]">
+        <xsl:with-param name="current_indent" select="$current_indent + 10"/>
+       </xsl:apply-templates>
+      </xsl:when>
+      <!-- false_ind -->
+      <xsl:when test="$name='false_ind'">
+       <xsl:apply-templates select="*[3]">
+        <xsl:with-param name="current_indent" select="$current_indent"/>
+       </xsl:apply-templates> 
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent"/> 
+       </xsl:call-template> 
+       <FONT color="red">Contradiction.</FONT>
+      </xsl:when>
       <!-- and_ind -->
       <xsl:when test="$name='and_ind'">
        <xsl:choose>
@@ -697,6 +883,62 @@
         <xsl:with-param name="current_indent" select="$current_indent"/> 
        </xsl:apply-templates>
       </xsl:when>
+      <!-- full_or_ind -->
+      <xsl:when test="$name='full_or_ind'">
+       <xsl:choose>
+        <xsl:when test="name(*[2])='m:apply'">
+         <xsl:apply-templates select="*[2]">
+          <xsl:with-param name="current_indent" select="$current_indent"/> 
+         </xsl:apply-templates>
+        </xsl:when>
+        <xsl:otherwise>
+         <FONT color="red">Consider&#x00a0;</FONT>
+         <xsl:apply-templates select="*[2]"/>
+        </xsl:otherwise>
+       </xsl:choose>
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent"/> 
+       </xsl:call-template>
+       <FONT color="red">We proceed by cases to prove&#x00a0;</FONT>
+       <xsl:apply-templates select="*[3]"/>
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent+4"/> 
+       </xsl:call-template>
+       <FONT color="red">Left: suppose&#x00a0;</FONT>
+       <xsl:text>(</xsl:text>
+       <xsl:value-of select="*[4]/m:bvar/m:ci"/>
+       <xsl:text>)&#x00a0;</xsl:text>
+       <xsl:apply-templates 
+            select="*[4]/m:bvar/m:type/*[1]"/>
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent+15"/> 
+       </xsl:call-template>
+       <xsl:apply-templates 
+            select="*[4]/*[3]">
+        <xsl:with-param name="current_indent" select="$current_indent+15"/>
+       </xsl:apply-templates>
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent+4"/> 
+       </xsl:call-template>
+       <FONT color="red">Right: suppose&#x00a0;</FONT>
+       <xsl:text>(</xsl:text>
+       <xsl:value-of select="*[5]/m:bvar/m:ci"/>
+       <xsl:text>)&#x00a0;</xsl:text>
+       <xsl:apply-templates 
+            select="*[5]/m:bvar/m:type/*[1]"/>
+       <br/>
+       <xsl:call-template name="make_indent">
+        <xsl:with-param name="current_indent" select="$current_indent+16"/> 
+       </xsl:call-template>
+       <xsl:apply-templates 
+            select="*[5]/*[3]">
+        <xsl:with-param name="current_indent" select="$current_indent+16"/>
+       </xsl:apply-templates>
+      </xsl:when>
       <!-- or_ind -->
       <xsl:when test="$name='or_ind'">
        <xsl:choose>