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<div><span class="kw">theorem </span><a NAME="T18"><span class="comment"><font color="firebrick">:: NUMBER13:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font>, <font color="Olive" title="b2">R</font> being   <a href="valued_0.html#V2" title="VALUED_0:attr.2">ext-real-valued</a>  <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a>  st  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">rng</a> <font color="Olive" title="b1">P</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">rng</a> <font color="Olive" title="b2">R</font> &amp; <font color="Olive" title="b2">R</font> is  <a href="number13.html#V1" title="NUMBER13:attr.1">with_values_greater_or_equal_one</a>  holds <br/><font color="Olive" title="b1">P</font> is  <a href="number13.html#V1" title="NUMBER13:attr.1">with_values_greater_or_equal_one</a>  ;<br/></div></div>
