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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th6</font></span>: <a NAME="T11"><span class="comment"><font color="firebrick">:: DIOPHAN2:11</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> holds  <a href="diophan2.html#K4" title="DIOPHAN2:func.4">TRANQN</a> <a href="relset_1.html#K7" title="RELSET_1:func.7">.:</a> <span class="p1">(<span class="default"><a href="diophan2.html#K2" title="DIOPHAN2:func.2">HWZSet</a> <font color="Olive" title="b1">r</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="diophan2.html#K3" title="DIOPHAN2:func.3">HWZSet1</a> <font color="Olive" title="b1">r</font></div></div>
