<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="card_fil.html#V7" title="CARD_FIL:attr.7">measurable</a> <a onclick="hs(this)" href="javascript:()">CARD_FIL:def 16 : <br/></a><span> for <font color="Olive" title="b1">M</font> being   <a href="card_5.html#NM1" title="CARD_5:NM.1">Aleph</a> holds <br/> ( <font color="Olive" title="b1">M</font> is  <a href="card_fil.html#V7" title="CARD_FIL:attr.7">measurable</a>  iff  ex <font color="Olive" title="b2">Uf</font> being    <a href="card_fil.html#M1" title="CARD_FIL:mode.1">Filter</a> of <font color="Olive" title="b1">M</font> st <br/>( <font color="Olive" title="b2">Uf</font> <a href="card_fil.html#NR3" title="CARD_FIL:NR.3">is_complete_with</a> <font color="Olive" title="b1">M</font> &amp;  not <font color="Olive" title="b2">Uf</font> is  <a href="card_fil.html#V2" title="CARD_FIL:attr.2">principal</a>  &amp; <font color="Olive" title="b2">Uf</font> is  <a href="card_fil.html#V3" title="CARD_FIL:attr.3">being_ultrafilter</a>  ) );<br/></span></div>
