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<b>let </b><font color="Maroon">i</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">f</font> be  <a href="funct_1.html#V2">one-to-one</a> <a href="finseq_1.html#NM1">FinSequence</a>;<br/>



<b>assume </b><a NAME="E1:15"/><i><font color="Green">E23</font></i>: 
<font color="Maroon">i</font> <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K4">dom</a> <font color="Maroon">f</font>
 ;<br/>

<a NAME="E2:15"/><b>then </b>
<font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K2">rng</a> <font color="Maroon">f</font>
 
<b>by </b><i><a class="ref" href="funct_1.html#D5">FUNCT_1:def 5</a></i>;<br/>
<a NAME="E3:15"/><b>then </b><i><font color="Green">E24</font></i>: 
<font color="Maroon">f</font> <a href="finseq_4.html#R2">just_once_values</a> <font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font>
 
<b>by </b><i><a class="ref" href="finseq_4.html#T10">FINSEQ_4:10</a></i>;<br/>
<a NAME="E4:15"/><b>then </b>
<font color="Maroon">f</font> <a href="finseq_4.html#K1">&lt;-</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font></span>)</span> <a href="finseq_4.html#K5">..</a> <font color="Maroon">f</font>
 
<b>by </b><i><a class="ref" href="finseq_4.html#T35">FINSEQ_4:35</a></i>;<br/>
<b>hence </b><a NAME="E5:15"/>
<span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font></span>)</span> <a href="finseq_4.html#K5">..</a> <font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">i</font>
 <b>by </b><i>, , <a class="ref" href="finseq_4.html#D3">FINSEQ_4:def 3</a></i>;<br/>


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