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<div><span class="kw">theorem </span><a NAME="T42"><span class="comment"><font color="firebrick">:: EUCLIDLP:42</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">x1</font>, <font color="Olive" title="b3">x2</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>  holds <br/>(  not <font color="Olive" title="b2">x1</font>,<font color="Olive" title="b3">x2</font> <a href="euclidlp.html#NR4" title="EUCLIDLP:NR.4">are_ldependent2</a>  or <font color="Olive" title="b2">x1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="euclid.html#K5" title="EUCLID:func.5">0*</a> <font color="Olive" title="b1">n</font> or <font color="Olive" title="b3">x2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="euclid.html#K5" title="EUCLID:func.5">0*</a> <font color="Olive" title="b1">n</font> or <font color="Olive" title="b2">x1</font> <a href="euclidlp.html#R2" title="EUCLIDLP:pred.2">//</a> <font color="Olive" title="b3">x2</font> ) <span class="kw">by</span> <span class="lab"><a class="txt" href="euclidlp.html#E47"><span class="lab"><font color="Green" title="E39">Lm4</font></span></a></span>;<br/></div></div>
