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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E32">Th39</font></span>: <a NAME="T39"><span class="comment"><font color="firebrick">:: INT_5:39</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">D</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">f</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Olive" title="b1">D</font><br/>  for <font color="Olive" title="b3">i</font>, <font color="Olive" title="b4">j</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> ( <font color="Olive" title="b2">f</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  iff  <a href="finseq_7.html#K2" title="FINSEQ_7:func.2">Swap</a> (<font color="Olive" title="b2">f</font>,<font color="Olive" title="b3">i</font>,<font color="Olive" title="b4">j</font>) is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  )</div></div>
