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<b>let </b><font color="Maroon">t</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K4">INT</a> ;<br/>

<a NAME="E1:32"/>
<font color="Maroon">t</font> is    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K1">REAL</a> 
 
<b>by </b><i/>;<br/>
<b>then consider </b><font color="Maroon">u</font> being  <a href="rfinseq.html#V1">non-increasing</a>  <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K1">REAL</a> <b> such that </b><br/><a NAME="E3:32"/><i><font color="Green">E41</font></i>: 
<font color="Maroon">t</font>,<font color="Maroon">u</font> <a href="rfinseq.html#R1">are_fiberwise_equipotent</a> 
 <b>by </b><i><a class="ref" href="rfinseq.html#T35">RFINSEQ:35</a></i>;<br/>
<b>take </b>
<font color="Maroon">u</font>
;<br/>

<b>thus </b><a NAME="E4:32"/>
<font color="Maroon">t</font>,<font color="Maroon">u</font> <a href="rfinseq.html#R1">are_fiberwise_equipotent</a> 
 <b>by </b><i/>;<br/>

<a NAME="E5:32"/><i><font color="Green">E42</font></i>: 
 <a href="relat_1.html#K2">rng</a> <font color="Maroon">t</font> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K2">rng</a> <font color="Maroon">u</font>
 
<b>by </b><i>, <a class="ref" href="rfinseq.html#T1">RFINSEQ:1</a></i>;<br/>
<a NAME="E6:32"/>
 <a href="relat_1.html#K2">rng</a> <font color="Maroon">t</font> <a href="tarski.html#R1">c=</a>  <a href="numbers.html#K4">INT</a> 
 
<b>by </b><i><a class="ref" href="finseq_1.html#D4">FINSEQ_1:def 4</a></i>;<br/>
<b>hence </b><a NAME="E7:32"/>
<font color="Maroon">u</font> is    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K4">INT</a> 
 <b>by </b><i>, <a class="ref" href="finseq_1.html#D4">FINSEQ_1:def 4</a></i>;<br/>

<b>thus </b><a NAME="E8:32"/>
<font color="Maroon">u</font> is <a href="rfinseq.html#V1">non-increasing</a>
 ;<br/>


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