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<div><span class="kw">theorem </span><a NAME="T25"><span class="comment"><font color="firebrick">:: EXCHSORT:25</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  <a href="exchsort.html#NM1" title="EXCHSORT:NM.1">array</a>  st (  for <font color="Olive" title="b2">a</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a>  st <font color="Olive" title="b2">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> &amp;  <a href="ordinal1.html#K1" title="ORDINAL1:func.1">succ</a> <font color="Olive" title="b2">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> holds <br/><font color="Olive" title="b1">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="ordinal1.html#K1" title="ORDINAL1:func.1">succ</a> <font color="Olive" title="b2">a</font></span>)</span> <a href="xboole_0.html#R2" title="XBOOLE_0:pred.2">c&lt;</a> <font color="Olive" title="b1">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b2">a</font> ) holds <br/><font color="Olive" title="b1">f</font> is  <a href="exchsort.html#V4" title="EXCHSORT:attr.4">descending</a> </div></div>
