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    <h2>Tarski Formalization Project Archives</h2>
       <p>The posted input files are now all mechanically generated from a master list of theorems.
    For more information about our methodology see the <a href="http://www.michaelbeeson.com/research/FormalTarski/index.php"> top page of this project</a>.
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    <table width="635" border="1">
      <tr>
        <th width="104" scope="col">Input File</th>
        <th width="123" scope="col">Proof</th>
        <th width="300" scope="col">Commentary</th>
      </tr>
       <tr>
        <td><a href="InputFiles/ext1.in"> ext1.in</a></td>
        <td><a href="Proofs/ext1.prf">ext1.prf</a><br>33 steps</td>
        <td> Szmielew's treatment of lines is partly second order. <br>
             This lemma (which is not in Szmielew) is needed to prove Satz 8.13b treating lines as given by pairs of points.   </td>
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        <td><a href="InputFiles/ExtCol.in">ExtCol</a></td>
        <td><a href="Proofs/ExtCol.prf">ExtCol.prf</a><br>10 steps</td>
        <td> If u and v both lie on Line(a,b), then points on Line(a,b) are also on Line(u,v). <br>
        Szmielew doesn't need this because she treats lines as sets.  </td>
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        <td><a href="InputFiles/ExtCol2.in">ExtCol2</a></td>
        <td><a href="Proofs/ExtCol2.prf">ExtCol2.prf </a> <br>(11 steps) </td>
        <td> If u and v both lie on Line(a,b), then points on Line(u,v) are also on Line(a,b). <br>
        Szmielew doesn't need this because she treats lines as sets.
       </td>
    </table>
     <p><a href="index.php?include=archive">Back to top of archive</a></p>
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