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<div><span class="kw">theorem </span><a NAME="T23"><span class="comment"><font color="firebrick">:: CARD_LAR:23</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font> being   non  <a href="card_3.html#V4" title="CARD_3:attr.4">countable</a>  <a href="card_5.html#NM1" title="CARD_5:NM.1">Aleph</a>  st  <a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="card_5.html#K1" title="CARD_5:func.1">cf</a> <font color="Olive" title="b1">M</font> holds <br/> for <font color="Olive" title="b2">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <font color="Olive" title="b1">M</font>  st  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <font color="Olive" title="b2">S</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="card_5.html#K1" title="CARD_5:func.1">cf</a> <font color="Olive" title="b1">M</font> &amp; (  for <font color="Olive" title="b3">X</font> being    <a href="card_lar.html#M1" title="CARD_LAR:mode.1">Element</a> of <font color="Olive" title="b2">S</font> holds <br/> ( <font color="Olive" title="b3">X</font> is  <a href="card_lar.html#V2" title="CARD_LAR:attr.2">closed</a>  &amp; <font color="Olive" title="b3">X</font> is  <a href="card_lar.html#V1" title="CARD_LAR:attr.1">unbounded</a>  ) ) holds <br/>(  <a href="setfam_1.html#K6" title="SETFAM_1:func.6">meet</a> <font color="Olive" title="b2">S</font> is  <a href="card_lar.html#V2" title="CARD_LAR:attr.2">closed</a>  &amp;  <a href="setfam_1.html#K6" title="SETFAM_1:func.6">meet</a> <font color="Olive" title="b2">S</font> is  <a href="card_lar.html#V1" title="CARD_LAR:attr.1">unbounded</a>  )</div></div>
