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<div><span class="kw">theorem </span><a NAME="T50"><span class="comment"><font color="firebrick">:: EUCLIDLP:50</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">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> <font color="Olive" title="b1">n</font><br/>  for <font color="Olive" title="b3">L0</font>, <font color="Olive" title="b4">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> <font color="Olive" title="b1">n</font>  st <font color="Olive" title="b3">L0</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a> <font color="Olive" title="b4">L1</font> &amp; <font color="Olive" title="b2">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">L0</font> holds <br/> not <font color="Olive" title="b2">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">L1</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="euclidlp.html#T49" target="_self" onmouseover="rs('euclidlp/T49')" onmouseout="rh()">Th49</a></span>;<br/></div></div>
