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<b>thus </b><a NAME="E1:21_1_1"/>
for <font color="Olive" title="b1">f1</font>, <font color="Olive" title="b2">f2</font> being <a href="seqm_3.html#V4" title="SEQM_3:attr.4">non-increasing</a>  <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>   st <font color="Maroon" title="c1">f</font>,<font color="Olive" title="b1">f1</font> <a href="rfinseq.html#R1" title="RFINSEQ:pred.1">are_fiberwise_equipotent</a>  &amp; <font color="Maroon" title="c1">f</font>,<font color="Olive" title="b2">f2</font> <a href="rfinseq.html#R1" title="RFINSEQ:pred.1">are_fiberwise_equipotent</a>  holds <br/><font color="Olive" title="b1">f1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">f2</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="21_1_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon" title="c2">f1</font>, <font color="Maroon" title="c3">f2</font> be  <a href="seqm_3.html#V4" title="SEQM_3:attr.4">non-increasing</a>  <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> ;<br/>

<b>assume </b><a NAME="E1:21_1_1_1"/>
( <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c2">f1</font> <a href="rfinseq.html#R1" title="RFINSEQ:pred.1">are_fiberwise_equipotent</a>  &amp; <font color="Maroon" title="c1">f</font>,<font color="Maroon" title="c3">f2</font> <a href="rfinseq.html#R1" title="RFINSEQ:pred.1">are_fiberwise_equipotent</a>  )
 ;<br/>

<a NAME="E2:21_1_1_1"/><b>then </b>
<font color="Maroon" title="c2">f1</font>,<font color="Maroon" title="c3">f2</font> <a href="rfinseq.html#R1" title="RFINSEQ:pred.1">are_fiberwise_equipotent</a> 
 
<b>by </b><i><a class="ref" href="rfinseq.html#T2" title="RFINSEQ:th.2">RFINSEQ:2</a></i>;<br/>
<b>hence </b><a NAME="E3:21_1_1_1"/>
<font color="Maroon" title="c2">f1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">f2</font>
 <b>by </b><i><a class="ref" href="rfinseq.html#T36" title="RFINSEQ:th.36">RFINSEQ:36</a></i>;<br/>


</div><b>end;</b></div>


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