<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E11">Def5</font></span>   defines <a href="exchsort.html#K2" title="EXCHSORT:func.2">limit-</a> <a onclick="hs(this)" href="javascript:()">EXCHSORT:def 5 : <br/></a><span> for <font color="Olive" title="b1">f</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a> holds <br/> ( (  ex <font color="Olive" title="b3">a</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a> st <font color="Olive" title="b3">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b1">f</font> implies ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="exchsort.html#K2" title="EXCHSORT:func.2">limit-</a> <font color="Olive" title="b1">f</font> iff <font color="Olive" title="b1">f</font> is <font color="Olive">b<sub>2</sub></font> <a href="exchsort.html#V3" title="EXCHSORT:attr.3">-limited</a>  ) ) &amp; ( (  for <font color="Olive" title="b3">a</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a>  holds  not <font color="Olive" title="b3">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b1">f</font> ) implies ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="exchsort.html#K2" title="EXCHSORT:func.2">limit-</a> <font color="Olive" title="b1">f</font> iff <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  ) ) );<br/></span></div>
