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<div><span class="kw">theorem </span><a NAME="T40"><span class="comment"><font color="firebrick">:: RAT_1:40</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a><br/>  for <font color="Olive" title="b2">p</font> being   <a href="rat_1.html#NM1" title="RAT_1:NM.1">Rational</a> holds <br/> ( <font color="Olive" title="b1">a</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">p</font> iff <font color="Olive" title="b1">a</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><a href="rat_1.html#K1" title="RAT_1:func.1">denominator</a> <font color="Olive" title="b2">p</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="rat_1.html#K2" title="RAT_1:func.2">numerator</a> <font color="Olive" title="b2">p</font> )</div></div>
