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<b>let </b><font color="Maroon">A</font> be  <a href="ordinal1.html#V4">being_limit_ordinal</a> <a href="finset_1.html#V1">infinite</a> <a href="ordinal1.html#NM2">Ordinal</a>;<br/><b>let </b><font color="Maroon">B</font> be  <a href="ordinal1.html#V4">being_limit_ordinal</a> <a href="finset_1.html#V1">infinite</a> <a href="ordinal1.html#NM2">Ordinal</a>;<br/><b>let </b><font color="Maroon">X</font> be   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">A</font>;<br/>





<b>assume </b><a NAME="E1:13"/><i><font color="Green">E22</font></i>: 
not  <a href="ordinal2.html#K3">sup</a> <span class="p1">(<span class="default"><font color="Maroon">X</font> <a href="subset_1.html#K8">/\</a> <font color="Maroon">B</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">B</font>
 ;<br/>

<b>reconsider </b><font color="Maroon">Y</font> = <font color="Maroon">X</font> <a href="subset_1.html#K8">/\</a> <font color="Maroon">B</font> as   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">B</font> <b>by </b><i><a class="ref" href="xboole_1.html#T17">XBOOLE_1:17</a></i>;<br/>
<a NAME="E3:13"/>
not <font color="Maroon">Y</font> is <a href="card_lar.html#V1" target="_self">unbounded</a>
 
<b>by </b><i>, </i>;<br/>
<b>then consider </b><font color="Maroon">B1</font> being   <a href="ordinal1.html#NM2">Ordinal</a><b> such that </b><br/><a NAME="E5:13"/><i><font color="Green">E23</font></i>: 
<font color="Maroon">B1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font>
 <b>and </b><br/><a NAME="E6:13"/><i><font color="Green">E44</font></i>: 
<font color="Maroon">Y</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">B1</font>
 <b>by </b><i/>;<br/>
<b>take </b>
<font color="Maroon">B1</font>
;<br/>

<b>thus </b><a NAME="E7:13"/>
( <font color="Maroon">B1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font> &amp; <font color="Maroon">X</font> <a href="subset_1.html#K8">/\</a> <font color="Maroon">B</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">B1</font> )
 <b>by </b><i>, </i>;<br/>


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