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<div><b>hereby </b>
<div class="add"><b>given </b><font color="Maroon">x</font> being   <a href="finseq_1.html#NM1">FinSequence</a><b> such that </b><a NAME="E1:40_1_1_1"/><i><font color="Green">E48</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">f</font>
 ;<br/><b>take </b><font color="Maroon">i</font> =  <a href="finseq_1.html#K3">len</a> <font color="Maroon">x</font>;<br/><b>thus </b><a NAME="E2:40_1_1_1"/>
for <font color="Olive">x</font> being  <a href="finseq_1.html#NM1">FinSequence</a>  st <font color="Olive">x</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">f</font> holds <br/><font color="Maroon">i</font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Olive">x</font>
 <b>by </b><i>, </i>;<br/></div>
<b>end;</b></div>

<b>thus </b><a NAME="E2:40_1_1"/>
( ( for <font color="Olive">x</font> being  <a href="finseq_1.html#NM1">FinSequence</a>  holds not <font color="Olive">x</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">f</font> ) implies  ex <font color="Olive">b<sub>1</sub></font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> 0 )
 ;<br/>


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