<?xml version="1.0" encoding="UTF-8"?>
<QEDEQ 
    xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
    xsi:noNamespaceSchemaLocation="http://www.qedeq.org/0_04_01/xml/qedeq.xsd">
  <HEADER email="mime@qedeq.org">
    <SPECIFICATION name="MCEC012" ruleVersion="1.00.00">
      <LOCATIONS>
        <LOCATION value="file:///."/>
      </LOCATIONS>
    </SPECIFICATION>
    <TITLE>
      <LATEX language="en">
         Identity Definition
      </LATEX>
    </TITLE>
    <ABSTRACT>
      <LATEX language="en">
         We define the identity constant and have some atoms and a proposition.
      </LATEX>
    </ABSTRACT>
    <AUTHORS>
      <AUTHOR email="michael@meyling.com">
        <NAME>
          <LATEX language="de">
            Michael Meyling
          </LATEX>
        </NAME>
      </AUTHOR>
    </AUTHORS>
  </HEADER>
  <CHAPTER>
    <TITLE>
      <LATEX language="en">
        The Only One
      </LATEX>
    </TITLE>
    <INTRODUCTION>
      <LATEX language="en">
        <![CDATA[
          This module is for testing purposes only.
        ]]>
      </LATEX>
    </INTRODUCTION>
    <SECTION>
      <TITLE>
        <LATEX language="en">Identity</LATEX>
      </TITLE>
      <INTRODUCTION>
        <LATEX language="en">
          <![CDATA[
            We have a definition some axioms and a proposition.
          ]]>
        </LATEX>
      </INTRODUCTION>
      <SUBSECTIONS>
        <NODE id="definition:identity">
          <NAME>
            <LATEX language="en">identity definition</LATEX>
          </NAME>
          <TITLE>
            <LATEX language="en">Identity\index{identity}\index{definition!of identity}</LATEX>
          </TITLE>
          <PRECEDING>
            <LATEX language="en">
              <![CDATA[
                We define a predicate constant of arity two that shall stand for the identity of subjects.
              ]]>
            </LATEX>
          </PRECEDING>
          <DEFINITION_PREDICATE arguments="2" name="equal">
            <LATEXPATTERN>#1 \ =  \ #2</LATEXPATTERN>
            <VARLIST>
              <VAR id="x"/>
              <VAR id="y"/>
            </VARLIST>
          </DEFINITION_PREDICATE>
        </NODE>
        
      </SUBSECTIONS>
    </SECTION>
  </CHAPTER>
</QEDEQ>
