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<div><span class="kw">theorem </span><a NAME="T11"><span class="comment"><font color="firebrick">:: EXCHSORT:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">b</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a><br/>  for <font color="Olive" title="b2">f</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> holds <br/> ( ( <font color="Olive" title="b2">f</font> is <font color="Olive" title="b1">b</font> <a href="exchsort.html#V3" title="EXCHSORT:attr.3">-limited</a>  &amp;  not <font color="Olive" title="b2">f</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp; <font color="Olive" title="b2">f</font> is  <a href="exchsort.html#V1" title="EXCHSORT:attr.1">segmental</a>  ) iff  ex <font color="Olive" title="b3">a</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a> st <br/>(  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">b</font> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <font color="Olive" title="b3">a</font> &amp; <font color="Olive" title="b3">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">b</font> ) )</div></div>
