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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E38">Th35</font></span>: <a NAME="T47"><span class="comment"><font color="firebrick">:: EUCLID12:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  <a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> 2<br/>  for <font color="Olive" title="b2">L1</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="euclidlp.html#K1" title="EUCLIDLP:func.1">line_of_REAL</a> 2  st <font color="Olive" title="b2">L1</font> is  <a href="euclid_4.html#V1" title="EUCLID_4:attr.1">being_line</a>  holds <br/> ex <font color="Olive" title="b3">L2</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="euclidlp.html#K1" title="EUCLIDLP:func.1">line_of_REAL</a> 2 st <br/>( <font color="Olive" title="b1">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">L2</font> &amp; <font color="Olive" title="b2">L1</font> <a href="euclidlp.html#R6" title="EUCLIDLP:pred.6">_|_</a> <font color="Olive" title="b3">L2</font> )</div></div>
