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<b>let </b><font color="Maroon">n</font> be   <a href="nat_1.html#NM1">Nat</a>, <font color="Maroon">m</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>

<b>assume </b><a NAME="E1:45_1_2"/><i><font color="Green">E23</font></i>: 
( ( for <font color="Olive">j</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">J</font> holds  <font color="Maroon">n</font> <a href="hidden.html#R1">=</a>  <a href="unialg_1.html#K3">arity</a> <span class="p1">(<span class="default"><font color="Maroon">O</font> <a href="pralg_1.html#K14" target="_self">.</a> <font color="Olive">j</font></span>)</span> ) &amp; ( for <font color="Olive">j</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">J</font> holds  <font color="Maroon">m</font> <a href="hidden.html#R1">=</a>  <a href="unialg_1.html#K3">arity</a> <span class="p1">(<span class="default"><font color="Maroon">O</font> <a href="pralg_1.html#K14" target="_self">.</a> <font color="Olive">j</font></span>)</span> ) )
 ;<br/>

<b>consider </b><font color="Maroon">j</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">J</font>;<br/>
<a NAME="E3:45_1_2"/>
( <font color="Maroon">n</font> <a href="hidden.html#R1">=</a>  <a href="unialg_1.html#K3">arity</a> <span class="p1">(<span class="default"><font color="Maroon">O</font> <a href="pralg_1.html#K14" target="_self">.</a> <font color="Maroon">j</font></span>)</span> &amp; <font color="Maroon">m</font> <a href="hidden.html#R1">=</a>  <a href="unialg_1.html#K3">arity</a> <span class="p1">(<span class="default"><font color="Maroon">O</font> <a href="pralg_1.html#K14" target="_self">.</a> <font color="Maroon">j</font></span>)</span> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:45_1_2"/>
<font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m</font>
 ;<br/>


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