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<div><span class="kw">theorem </span><a NAME="T9"><span class="comment"><font color="firebrick">:: CARD_FIN:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x1</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">X</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st  <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <font color="Olive" title="b2">X</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">k</font> holds <br/> <a href="card_fin.html#K1" title="CARD_FIN:func.1">Choose</a> (<font color="Olive" title="b2">X</font>,<font color="Olive" title="b3">k</font>,<font color="Olive" title="b1">x1</font>,<font color="Olive" title="b1">x1</font>) is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> </div></div>
