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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">X</font> be   <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">A</font>;<br/>



<b>assume </b><a NAME="E1:15"/><i><font color="Green">E22</font></i>: 
<font color="Maroon">X</font> is <a href="card_lar.html#V1" target="_self">unbounded</a>
 ;<br/>

<b>consider </b><font color="Maroon">B1</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">A</font>;<br/>
<b>consider </b><font color="Maroon">C</font> being   <a href="ordinal1.html#NM2">Ordinal</a><b> such that </b><br/><a NAME="E4:15"/><i><font color="Green">E23</font></i>: 
<font color="Maroon">C</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font>
 <b>and </b><br/><a NAME="E5:15"/>
<font color="Maroon">B1</font> <a href="ordinal1.html#R1">c=</a> <font color="Maroon">C</font>
 <b>by </b><i>, </i>;<br/>
<b>thus </b><a NAME="E6:15"/>
not <font color="Maroon">X</font> is <a href="xboole_0.html#V1">empty</a>
 <b>by </b><i/>;<br/>


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