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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">Th7</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: DIOPHAN2:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">r</font> being   <a href="irrat_1.html#NV1" title="IRRAT_1:NV.1">irrational</a>  <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st  <a href="diophan2.html#K2" title="DIOPHAN2:func.2">HWZSet</a> <font color="Olive" title="b1">r</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  holds <br/> <a href="diophan2.html#K3" title="DIOPHAN2:func.3">HWZSet1</a> <font color="Olive" title="b1">r</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> </div></div>
