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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E53">Th82</font></span>: <a NAME="T83"><span class="comment"><font color="firebrick">:: CARD_2:83</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">K</font>, <font color="Olive" title="b2">L</font>, <font color="Olive" title="b3">M</font>, <font color="Olive" title="b4">N</font> being   <a href="card_1.html#NM1" title="CARD_1:NM.1">Cardinal</a>  st ( ( <font color="Olive" title="b1">K</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">L</font> &amp; <font color="Olive" title="b3">M</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">N</font> ) or ( <font color="Olive" title="b1">K</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Olive" title="b2">L</font> &amp; <font color="Olive" title="b3">M</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">N</font> ) or ( <font color="Olive" title="b1">K</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">L</font> &amp; <font color="Olive" title="b3">M</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Olive" title="b4">N</font> ) or ( <font color="Olive" title="b1">K</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Olive" title="b2">L</font> &amp; <font color="Olive" title="b3">M</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Olive" title="b4">N</font> ) ) holds <br/>( <font color="Olive" title="b1">K</font> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <font color="Olive" title="b3">M</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Olive" title="b2">L</font> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <font color="Olive" title="b4">N</font> &amp; <font color="Olive" title="b3">M</font> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <font color="Olive" title="b1">K</font> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Olive" title="b2">L</font> <a href="card_2.html#K1" title="CARD_2:func.1">+`</a> <font color="Olive" title="b4">N</font> )</div></div>
