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<b>let </b><font color="Maroon">W</font> be   <a href="classes2.html#NM1">Universe</a>;<br/><b>let </b><font color="Maroon">X</font> be    <a href="hidden.html#M1">set</a> ;<br/>



<b>assume </b><a NAME="E1:35"/><i><font color="Green">E31</font></i>: 
<font color="Maroon">X</font> <a href="hidden.html#R2">in</a> <font color="Maroon">W</font>
 ;<br/>

<b>reconsider </b><font color="Maroon">a</font> =  <a href="tarski.html#K3">union</a> <span class="p1">(<span class="default"><a href="ordinal1.html#K3">On</a> <font color="Maroon">X</font></span>)</span> as   <a href="ordinal1.html#NM2">Ordinal</a> <b>by </b><i><a class="ref" href="ordinal3.html#T7">ORDINAL3:7</a></i>;<br/>
<a NAME="E3:35"/>
 <a href="ordinal1.html#K3">On</a> <font color="Maroon">X</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">X</font>
 
<b>by </b><i><a class="ref" href="ordinal2.html#T9">ORDINAL2:9</a></i>;<br/>
<a NAME="E4:35"/><b>then </b>
 <a href="ordinal1.html#K3">On</a> <font color="Maroon">X</font> <a href="hidden.html#R2">in</a> <font color="Maroon">W</font>
 
<b>by </b><i>, <a class="ref" href="classes1.html#D1">CLASSES1:def 1</a></i>;<br/>
<a NAME="E5:35"/><b>then </b>
<font color="Maroon">a</font> <a href="hidden.html#R2">in</a> <font color="Maroon">W</font>
 
<b>by </b><i><a class="ref" href="classes2.html#T65">CLASSES2:65</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">a</font> = <font color="Maroon">a</font> as    <a href="ordinal4.html#M1">Ordinal</a> of <font color="Maroon">W</font> <b>by </b><i><a class="ref" href="ordinal4.html#D2">ORDINAL4:def 2</a></i>;<br/>
<a NAME="E7:35"/>
(  <a href="ordinal2.html#K3">sup</a> <font color="Maroon">X</font> <a href="tarski.html#R1">c=</a>  <a href="ordinal4.html#K6">succ</a> <font color="Maroon">a</font> &amp;  <a href="ordinal4.html#K6">succ</a> <font color="Maroon">a</font> <a href="hidden.html#R2">in</a> <font color="Maroon">W</font> )
 
<b>by </b><i>, <a class="ref" href="ordinal4.html#D2">ORDINAL4:def 2</a></i>;<br/>
<b>hence </b><a NAME="E8:35"/>
 <a href="ordinal2.html#K3">sup</a> <font color="Maroon">X</font> <a href="hidden.html#R2">in</a> <font color="Maroon">W</font>
 <b>by </b><i><a class="ref" href="classes1.html#D1">CLASSES1:def 1</a></i>;<br/>


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