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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>.
  </p>
    <table width="650" border="1">
      <tr>
        <th width="104" scope="col">Input File</th>
        <th width="123" scope="col">Proof</th>
        <th width="315" scope="col">Commentary</th>
      </tr>
       <tr>
        <td><a href="InputFiles/Satz3.1.in">Satz 3.1</a></td>
        <td><a href="Proofs/Satz3.1.prf">Satz3.1.prf </a></td>
        <td>T(a,b,b)</td>
      </tr>
    
      <tr>
        <td><a href="InputFiles/Satz3.2.in">Satz 3.2</a></td>
        <td><a href="Proofs/Satz3.2.prf">Satz3.2.prf </a></td>
        <td>T(a,b,c) -> T(c,b,a)</td>
      </tr>
      <tr>
        <td><a href="InputFiles/Satz3.3.in">Satz 3.3</a></td>
        <td><a href="Proofs/Satz3.3.prf">Satz3.3.prf</a></td>
        <td> T(a,a,b) </td>
      </tr>
        <tr>
        <td><a href="InputFiles/Satz3.4.in">Satz 3.4</a></td>
        <td><a href="Proofs/Satz3.4.prf">Satz3.4.prf</a></td>
        <td> T(a,b,c) and T(b,a,c) -> a=b</td>
      </tr>
      <tr>
        <td><a href="InputFiles/Satz3.5a.in">Satz 3.5a</a></td>
        <td><a href="Proofs/Satz3.5a.prf">Satz3.5a.prf</a></td>
        <td> T(a,b,d) and T(b,c,d) -> T(a,b,c) </td>
      </tr>
      <tr>
        <td><a href="InputFiles/Satz3.6a.in">Satz 3.6a</a></td>
        <td><a href="Proofs/Satz3.6a.prf">Satz3.6a.prf</a></td>
        <td>T(a,b,c) and T(a,c,d) -> T(b,c,d) </td>
      </tr>
      <tr>
        <td><a href="InputFiles/Satz3.7a.in">Satz 3.7a</a></td>
        <td><a href="Proofs/Satz3.7a.prf">Satz3.7a.prf</a></td>
        <td>T(a,b,c) and T(b,c,d) and b!=c-> T(a,c,d)</td>
      </tr>
           <tr>
        <td><a href="InputFiles/Satz3.5b.in">Satz 3.5b</a></td>
        <td><a href="Proofs/Satz3.5b.prf">Satz3.5b.prf</a></td>
        <td> T(a,b,d) and T(b,c,d) -> T(a,c,d)</td>
      </tr>
      <tr>
      <td><a href="InputFiles/Satz3.6b.in">Satz 3.6b</a></td>
        <td><a href="Proofs/Satz3.6b.prf">Satz3.6b.prf</a></td>
        <td>T(a,b,c) and T(a,c,d) ->  T(a,d,b)</td>
      </tr> 
      <tr>
        <td><a href="InputFiles/Satz3.7b.in">Satz 3.7b</a></td>
        <td><a href="Proofs/Satz3.7b.prf">Satz3.7b.prf</a></td>
        <td>T(a,b,c) and T(b,c,d) and b!=c->  T(a,b,d)</td>
      </tr>
        <tr>
        <td><a href="InputFiles/Satz3.17.in">Satz 3.17</a></td>
        <td><a href="Proofs/Satz3.17.prf">Satz3.17.prf</a></td>
        <td>T(a,b,c) and T(a1,b1,c) and T(a,p,a1)  -> 
         <br>  exists q(T(p,q,c) and T(b,q,b1)</td>
      </tr>    
    </table>
    <p> The theorems of Chapter 3 not proved here either become trivial after 
        Skolemization, or are both simple and not needed for further theory development.</p>
    <p><a href="index.php?include=archive">Back to top of archive</a></p>
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