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<b>let </b><font color="Maroon">R</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K1">REAL</a> ;<br/>

<a NAME="E1:43"/><i><font color="Green">E31</font></i>: 
for <font color="Olive">n</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds  <font color="Maroon">S<sub>2</sub></font>[<font color="Olive">n</font>]
 
<b>from </b><i><a class="ref" href="nat_1.html#S1">NAT_1:sch 1</a>(, <a class="ref" href="rfinseq.html#D1" target="_self">Def1</a>);<br/></i>
<a NAME="E2:43"/>
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">R</font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">R</font>
 
;<br/>
<b>hence </b><a NAME="E3:43"/>
 ex <font color="Olive">R1</font> being <a href="rfinseq.html#V1" target="_self">non-increasing</a>  <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K1">REAL</a>  st <font color="Maroon">R</font>,<font color="Olive">R1</font> <a href="rfinseq.html#R1" target="_self">are_fiberwise_equipotent</a> 
 <b>by </b><i><a class="txt" href="rfinseq.html#E2"><i><font color="Green">Lemma30</font></i></a></i>;<br/>


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