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<div><span class="kw">theorem </span><a NAME="T55"><span class="comment"><font color="firebrick">:: NAT_1:55</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">s</font> being   <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> <br/>  for <font color="Olive" title="b2">k</font> being   <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>   <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">Number</a>  holds   <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">s</font> <a href="nat_1.html#K6" title="NAT_1:func.6">^\</a> <font color="Olive" title="b2">k</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b1">s</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="nat_1.html#E49"><span class="lab"><font color="Green" title="E19">Lm1</font></span></a></span>;<br/></div></div>
