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<b>let </b><font color="Maroon">X</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K5">NAT</a> , <font color="Maroon">Y</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:33_1_2"/><i><font color="Green">E26</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">X</font> <a href="hidden.html#R1">=</a>  <a href="unialg_1.html#K4">signature</a> <span class="p1">(<span class="default"><font color="Maroon">A</font> <a href="pralg_1.html#K11" target="_self">.</a> <font color="Olive">j</font></span>)</span>
 <b>and </b><br/><a NAME="E2:33_1_2"/><i><font color="Green">E38</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">Y</font> <a href="hidden.html#R1">=</a>  <a href="unialg_1.html#K4">signature</a> <span class="p1">(<span class="default"><font color="Maroon">A</font> <a href="pralg_1.html#K11" 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/>
<b>reconsider </b><font color="Maroon">U0</font> = <font color="Maroon">A</font> <a href="pralg_1.html#K11" target="_self">.</a> <font color="Maroon">j</font> as   <a href="unialg_1.html#NM2">Universal_Algebra</a> ;<br/>
<a NAME="E5:33_1_2"/>
( <font color="Maroon">X</font> <a href="hidden.html#R1">=</a>  <a href="unialg_1.html#K4">signature</a> <font color="Maroon">U0</font> &amp; <font color="Maroon">Y</font> <a href="hidden.html#R1">=</a>  <a href="unialg_1.html#K4">signature</a> <font color="Maroon">U0</font> )
 
<b>by </b><i><a class="ref" href="pralg_1.html#T1" target="_self">Th1</a>, </i>;<br/>
<b>hence </b><a NAME="E6:33_1_2"/>
<font color="Maroon">X</font> <a href="hidden.html#R1">=</a> <font color="Maroon">Y</font>
 ;<br/>


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