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<b>let </b><font color="Maroon">W</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>



<b>assume </b><a NAME="E1:25"/><i><font color="Green">E27</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="classes1.html#K4">Rank</a> <span class="p1">(<span class="default"><a href="card_1.html#K1">Card</a> <span class="p2">(<span class="default"><a href="classes1.html#K1">Tarski-Class</a> <font color="Maroon">W</font></span>)</span></span>)</span>
 ;<br/>

<a NAME="E2:25"/>
(  <a href="card_1.html#K1">Card</a> <span class="p1">(<span class="default"><a href="classes1.html#K1">Tarski-Class</a> <font color="Maroon">W</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp;  <a href="card_1.html#K1">Card</a> <span class="p1">(<span class="default"><a href="classes1.html#K1">Tarski-Class</a> <font color="Maroon">W</font></span>)</span> <a href="ordinal1.html#NR2" target="_self">is_limit_ordinal</a>  )
 
<b>by </b><i/>;<br/>
<b>then consider </b><font color="Maroon">A</font> being   <a href="ordinal1.html#NM2">Ordinal</a><b> such that </b><br/><a NAME="E4:25"/><i><font color="Green">E28</font></i>: 
( <font color="Maroon">A</font> <a href="hidden.html#R2">in</a>  <a href="card_1.html#K1">Card</a> <span class="p1">(<span class="default"><a href="classes1.html#K1">Tarski-Class</a> <font color="Maroon">W</font></span>)</span> &amp; <font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font> )
 <b>by </b><i>, <a class="ref" href="classes1.html#T35">CLASSES1:35</a></i>;<br/>
<a NAME="E5:25"/>
<font color="Maroon">A</font> <a href="hidden.html#R2">in</a>  <a href="ordinal1.html#K3">On</a> <span class="p1">(<span class="default"><a href="classes1.html#K1">Tarski-Class</a> <font color="Maroon">W</font></span>)</span>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E6:25"/><b>then </b>
(  <a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font> <a href="hidden.html#R2">in</a>  <a href="classes1.html#K1">Tarski-Class</a> <font color="Maroon">W</font> &amp;  <a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font> is <a href="ordinal1.html#V1">epsilon-transitive</a> )
 
<b>by </b><i>, <a class="ref" href="classes1.html#T37">CLASSES1:37</a></i>;<br/>
<a NAME="E7:25"/><b>then </b>
 <a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font> <a href="tarski.html#R1">c=</a>  <a href="classes1.html#K1">Tarski-Class</a> <font color="Maroon">W</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E8:25"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="classes1.html#K1">Tarski-Class</a> <font color="Maroon">W</font>
 <b>by </b><i/>;<br/>


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