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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th29</font></span>: <a NAME="T30"><span class="comment"><font color="firebrick">:: BORSUK_5:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds <br/> ( <font color="Olive" title="b3">c</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="borsuk_5.html#K3" title="BORSUK_5:func.3">IRRAT</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>) iff ( <font color="Olive" title="b3">c</font> is  <a href="irrat_1.html#NV1" title="IRRAT_1:NV.1">irrational</a>  &amp; <font color="Olive" title="b1">a</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b3">c</font> &amp; <font color="Olive" title="b3">c</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">b</font> ) )</div></div>
