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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">a</font> be    <a href="ordinal4.html#M1">Ordinal</a> of <font color="Maroon">W</font>;<br/>



<b>given </b><font color="Maroon">psi</font> being   <a href="ordinal2.html#NM1">Ordinal-Sequence</a><b> such that </b><a NAME="E1:33"/><i><font color="Green">E37</font></i>: 
(  <a href="relat_1.html#K1">dom</a> <font color="Maroon">psi</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> &amp;  <a href="relat_1.html#K2">rng</a> <font color="Maroon">psi</font> <a href="tarski.html#R1">c=</a>  <a href="ordinal1.html#K3">On</a> <font color="Maroon">W</font> &amp; <font color="Maroon">psi</font> is <a href="ordinal2.html#V2">increasing</a> &amp;  <a href="ordinal1.html#K3">On</a> <font color="Maroon">W</font> <a href="hidden.html#R1">=</a>  <a href="ordinal2.html#K4">sup</a> <font color="Maroon">psi</font> )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="zfrefle1.html#D5" target="_self">ZFREFLE1:def 5</a><br/>

<a NAME="E2:33"/>
 <a href="ordinal1.html#K3">On</a> <font color="Maroon">W</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">W</font>
 
<b>by </b><i><a class="ref" href="ordinal2.html#T9">ORDINAL2:9</a></i>;<br/>
<a NAME="E3:33"/><b>then </b>
(  <a href="relat_1.html#K1">dom</a> <font color="Maroon">psi</font> <a href="hidden.html#R2">in</a> <font color="Maroon">W</font> &amp;  <a href="relat_1.html#K2">rng</a> <font color="Maroon">psi</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">W</font> )
 
<b>by </b><i>, <a class="ref" href="ordinal4.html#D2">ORDINAL4:def 2</a>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<a NAME="E4:33"/><b>then </b>
 <a href="relat_1.html#K2">rng</a> <font color="Maroon">psi</font> <a href="hidden.html#R2">in</a> <font color="Maroon">W</font>
 
<b>by </b><i/>;<br/>
<a NAME="E5:33"/><b>then </b>
 <a href="ordinal2.html#K3">sup</a> <span class="p1">(<span class="default"><a href="relat_1.html#K2">rng</a> <font color="Maroon">psi</font></span>)</span> <a href="hidden.html#R2">in</a> <font color="Maroon">W</font>
 
<b>by </b><i><a class="ref" href="zf_refle.html#T28">ZF_REFLE:28</a></i>;<br/>
<a NAME="E6:33"/><b>then </b>
 <a href="ordinal2.html#K4">sup</a> <font color="Maroon">psi</font> <a href="hidden.html#R2">in</a> <font color="Maroon">W</font>
 
;<br/>
<a NAME="E7:33"/><b>then </b>
 <a href="ordinal2.html#K4">sup</a> <font color="Maroon">psi</font> <a href="hidden.html#R2">in</a>  <a href="ordinal1.html#K3">On</a> <font color="Maroon">W</font>
 
<b>by </b><i><a class="ref" href="ordinal1.html#D10">ORDINAL1:def 10</a></i>;<br/>
<b>hence </b><a NAME="E8:33"/>
contradiction
 <b>by </b><i/>;<br/>


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