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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="E1:27"/><i><font color="Green">E22</font></i>: 
<font color="Maroon">X</font> is <a href="card_lar.html#V3" target="_self">stationary</a>
 ;<br/>

<b>assume </b><a NAME="E2:27"/>
not <font color="Maroon">X</font> is <a href="card_lar.html#V1" target="_self">unbounded</a>
 ;<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="E4:27"/><i><font color="Green">E23</font></i>: 
<font color="Maroon">B1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">A</font>
 <b>and </b><br/><a NAME="E5:27"/><i><font color="Green">E44</font></i>: 
<font color="Maroon">X</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">B1</font>
 <b>by </b><i/>;<br/>
<a NAME="E6:27"/><i><font color="Green">E45</font></i>: 
( <font color="Maroon">A</font> <a href="subset_1.html#K6">\</a> <font color="Maroon">B1</font> is <a href="card_lar.html#V2" target="_self">closed</a> &amp; <font color="Maroon">A</font> <a href="subset_1.html#K6">\</a> <font color="Maroon">B1</font> is <a href="card_lar.html#V1" target="_self">unbounded</a> )
 
<b>by </b><i><a class="txt" href="card_lar.html#E4:27"><i><font color="Green">E23</font></i></a>, </i>;<br/>
<a NAME="E7:27"/>
<font color="Maroon">A</font> <a href="subset_1.html#K6">\</a> <font color="Maroon">B1</font> <a href="xboole_0.html#R1">misses</a> <font color="Maroon">B1</font>
 
<b>by </b><i><a class="ref" href="xboole_1.html#T79">XBOOLE_1:79</a></i>;<br/>
<a NAME="E8:27"/><b>then </b>
<font color="Maroon">A</font> <a href="subset_1.html#K6">\</a> <font color="Maroon">B1</font> <a href="xboole_0.html#R1">misses</a> <font color="Maroon">X</font>
 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T63">XBOOLE_1:63</a></i>;<br/>
<a NAME="E9:27"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">A</font> <a href="subset_1.html#K6">\</a> <font color="Maroon">B1</font></span>)</span> <a href="subset_1.html#K9">/\</a> <font color="Maroon">X</font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D7">XBOOLE_0:def 7</a></i>;<br/>
<b>hence </b><a NAME="E10:27"/>
contradiction
 <b>by </b><i><a class="txt" href="card_lar.html#E1:27"><i><font color="Green">E22</font></i></a>, , </i>;<br/>


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