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<a NAME="E1:33_1_1"/><i><font color="Green">E53</font></i>: 
 <a href="relset_1.html#K4">dom</a> <font color="Maroon">seq</font> <a href="hidden.html#R1">=</a>  <a href="numbers.html#K5">NAT</a> 
 
<b>by </b><i><a class="ref" href="comseq_1.html#T2">COMSEQ_1:2</a></i>;<br/>
<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:33_1_1_1"/><i><font color="Green">E55</font></i>: 
<font color="Maroon">seq</font> is <a href="funct_1.html#V3">constant</a>
 ;<br/><b>consider </b><font color="Maroon">n0</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>take </b><font color="Maroon">r</font> = <font color="Maroon">seq</font> <a href="comseq_1.html#K1">.</a> <font color="Maroon">n0</font>;<br/><b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>thus </b><a NAME="E3:33_1_1_1"/>
<font color="Maroon">seq</font> <a href="comseq_1.html#K1">.</a> <font color="Maroon">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">r</font>
 <b>by </b><i>, , <a class="ref" href="funct_1.html#D16">FUNCT_1:def 16</a></i>;<br/></div>
<b>end;</b></div>

<b>given </b><font color="Maroon">g</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a> <b> such that </b><a NAME="E3:33_1_1"/><i><font color="Green">E56</font></i>: 
for <font color="Olive">n</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds  <font color="Maroon">seq</font> <a href="comseq_1.html#K1">.</a> <font color="Olive">n</font> <a href="hidden.html#R1">=</a> <font color="Maroon">g</font>
 ;<br/>

<b>let </b><font color="Maroon">n1</font> be    <a href="hidden.html#M1">set</a> , <font color="Maroon">n2</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="funct_1.html#D16">FUNCT_1:def 16</a><br/>

<b>assume </b><a NAME="E4:33_1_1"/><i><font color="Green">E69</font></i>: 
( <font color="Maroon">n1</font> <a href="hidden.html#R2">in</a>  <a href="relset_1.html#K4">dom</a> <font color="Maroon">seq</font> &amp; <font color="Maroon">n2</font> <a href="hidden.html#R2">in</a>  <a href="relset_1.html#K4">dom</a> <font color="Maroon">seq</font> )
 ;<br/>

<b>hence </b><font color="Maroon">seq</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">n1</font> = 
<font color="Maroon">g</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">seq</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">n2</font>
<b>by </b><i>, </i>
;<br/><br/>


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