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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E42">Th45</font></span>: <a NAME="T45"><span class="comment"><font color="firebrick">:: EUCLIDLP:45</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>, <font color="Olive" title="b3">y</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>  st <font color="Olive" title="b2">x</font> <a href="euclidlp.html#R4" title="EUCLIDLP:pred.4">_|_</a> <font color="Olive" title="b3">y</font> holds <br/><font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font> <a href="euclidlp.html#R3" title="EUCLIDLP:pred.3">are_lindependent2</a> </div></div>
