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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>consider </b><font color="Maroon">c<sub>2</sub></font> being   <a href="ordinal1.html#NM2">Ordinal</a><b> such that </b><br/><a NAME="E2:29"/><i><font color="Green">E21</font></i>: 
 <a href="classes1.html#K3" target="_self">Tarski-Class</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="classes1.html#K1" target="_self">Tarski-Class</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="classes1.html#T22" target="_self">Th22</a></i>;<br/>
<a NAME="E3:29"/>
(  <a href="classes1.html#K3" target="_self">Tarski-Class</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="tarski.html#R1">c=</a>  <a href="classes1.html#K3" target="_self">Tarski-Class</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p1">(<span class="default"><a href="ordinal1.html#K1">succ</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> &amp;  <a href="classes1.html#K3" target="_self">Tarski-Class</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p1">(<span class="default"><a href="ordinal1.html#K1">succ</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="classes1.html#K1" target="_self">Tarski-Class</a> <font color="Maroon">c<sub>1</sub></font> )
 
<b>by </b><i><a class="ref" href="classes1.html#T18" target="_self">Th18</a></i>;<br/>
<a NAME="E4:29"/><b>then </b><i><font color="Green">E22</font></i>: 
 <a href="classes1.html#K3" target="_self">Tarski-Class</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="classes1.html#K3" target="_self">Tarski-Class</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p1">(<span class="default"><a href="ordinal1.html#K1">succ</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="classes1.html#E2:29"><i><font color="Green">E21</font></i></a>, <a class="ref" href="xboole_0.html#D10">XBOOLE_0:def 10</a></i>;<br/>
<b>assume </b><a NAME="E5:29"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="ordinal1.html#V1">epsilon-transitive</a>
 ;<br/>

<b>hence </b><a NAME="E6:29"/>
 <a href="classes1.html#K1" target="_self">Tarski-Class</a> <font color="Maroon">c<sub>1</sub></font> is <a href="ordinal1.html#V1">epsilon-transitive</a>
 <b>by </b><i><a class="txt" href="classes1.html#E2:29"><i><font color="Green">E21</font></i></a>, <a class="txt" href="classes1.html#E4:29"><i><font color="Green">E22</font></i></a>, <a class="ref" href="classes1.html#T25" target="_self">Th25</a></i>;<br/>


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