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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E36">Th32</font></span>: <a NAME="T39"><span class="comment"><font color="firebrick">:: CARDFIL4:39</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of <span class="p1"><a href="cardfil4.html#K1" title="CARDFIL4:func.1">[:</a><span class="default"><a href="cardfil2.html#K11" title="CARDFIL2:func.11">base_of_frechet_filter</a>,<a href="cardfil2.html#K11" title="CARDFIL2:func.11">base_of_frechet_filter</a></span><a href="cardfil4.html#K1" title="CARDFIL4:func.1">:]</a></span>  ex <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st  <a href="cardfil4.html#K4" title="CARDFIL4:func.4">square-uparrow</a> <font color="Olive" title="b2">n</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a> <font color="Olive" title="b1">x</font></div></div>
