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<b>let </b><font color="Maroon">c<sub>1</sub></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">c<sub>2</sub></font> be   <a href="ordinal1.html#NM2">Ordinal</a>;<br/>



<b>assume </b><a NAME="E1:21"/><i><font color="Green">E19</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<a NAME="E2:21"/>
(  <a href="subset_1.html#K2">[#]</a> <font color="Maroon">c<sub>1</sub></font> is <a href="card_lar.html#V2" target="_self">closed</a> &amp;  <a href="subset_1.html#K2">[#]</a> <font color="Maroon">c<sub>1</sub></font> is <a href="card_lar.html#V1" target="_self">unbounded</a> )
 
<b>by </b><i><a class="ref" href="card_lar.html#T11" target="_self">Th11</a></i>;<br/>
<a NAME="E3:21"/><b>then </b>
( <span class="p1">(<span class="default"><a href="subset_1.html#K2">[#]</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="subset_1.html#K7">\</a> <font color="Maroon">c<sub>2</sub></font> is <a href="card_lar.html#V2" target="_self">closed</a> &amp; <span class="p1">(<span class="default"><a href="subset_1.html#K2">[#]</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="subset_1.html#K7">\</a> <font color="Maroon">c<sub>2</sub></font> is <a href="card_lar.html#V1" target="_self">unbounded</a> )
 
<b>by </b><i><a class="txt" href="card_lar.html#E1:21"><i><font color="Green">E19</font></i></a>, <a class="ref" href="card_lar.html#T12" target="_self">Th12</a></i>;<br/>
<b>hence </b><a NAME="E4:21"/>
( <font color="Maroon">c<sub>1</sub></font> <a href="subset_1.html#K6">\</a> <font color="Maroon">c<sub>2</sub></font> is <a href="card_lar.html#V2" target="_self">closed</a> &amp; <font color="Maroon">c<sub>1</sub></font> <a href="subset_1.html#K6">\</a> <font color="Maroon">c<sub>2</sub></font> is <a href="card_lar.html#V1" target="_self">unbounded</a> )
 <b>by </b><i><a class="ref" href="subset_1.html#D4">SUBSET_1:def 4</a></i>;<br/>


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