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<b>let </b><font color="Maroon">A</font> be   <a href="ordinal1.html#NM2">Ordinal</a>;<br/><b>let </b><font color="Maroon">psi</font> be   <a href="ordinal2.html#NM1">Ordinal-Sequence</a>;<br/>



<a NAME="E1:20"/>
<font color="Maroon">A</font> <a href="tarski.html#R1">c=</a>  <a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font>
 
<b>by </b><i><a class="ref" href="classes1.html#T44">CLASSES1:44</a></i>;<br/>
<a NAME="E2:20"/><b>then </b><i><font color="Green">E31</font></i>: 
( <span class="p1">(<span class="default"><font color="Maroon">psi</font> <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default"><a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font></span>)</span></span>)</span> <a href="relat_1.html#K7">|</a> <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <font color="Maroon">psi</font> <a href="ordinal1.html#K2">|</a> <font color="Maroon">A</font> &amp;  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">psi</font> <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default"><a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font></span>)</span></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font> &amp;  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">psi</font> <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default"><a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font></span>)</span></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">psi</font> )
 
<b>by </b><i><a class="ref" href="relat_1.html#T89">RELAT_1:89</a>, <a class="ref" href="funct_1.html#T82">FUNCT_1:82</a>, <a class="ref" href="relat_1.html#T87">RELAT_1:87</a></i>;<br/>
<a NAME="E3:20"/><b>then </b>
(  <a href="ordinal1.html#K3">On</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><font color="Maroon">psi</font> <a href="relat_1.html#K7">|</a> <span class="p3">(<span class="default"><a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font></span>)</span></span>)</span></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="ordinal1.html#K3">On</a> <span class="p1">(<span class="default"><a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font></span>)</span> &amp;  <a href="ordinal1.html#K3">On</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><font color="Maroon">psi</font> <a href="relat_1.html#K7">|</a> <span class="p3">(<span class="default"><a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">psi</font> <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default"><a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font></span>)</span></span>)</span> )
 
<b>by </b><i><a class="ref" href="ordinal2.html#T11">ORDINAL2:11</a>, <a class="ref" href="ordinal3.html#T8">ORDINAL3:8</a></i>;<br/>
<a NAME="E4:20"/><b>then </b>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">psi</font> <a href="relat_1.html#K7">|</a> <span class="p2">(<span class="default"><a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font></span>)</span></span>)</span> <a href="tarski.html#R1">c=</a> <font color="Maroon">A</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E5:20"/>
<font color="Maroon">psi</font> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="classes1.html#K4">Rank</a> <font color="Maroon">A</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">psi</font> <a href="ordinal1.html#K2">|</a> <font color="Maroon">A</font>
 <b>by </b><i>, <a class="ref" href="relat_1.html#T97">RELAT_1:97</a></i>;<br/>


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