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<b>let </b><font color="Maroon">D</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">F</font> be   <a href="partfun1.html#NM1">PartFunc</a> of <font color="Maroon">D</font>, <a href="numbers.html#K1">REAL</a> ;<br/><b>let </b><font color="Maroon">X</font> be    <a href="hidden.html#M1">set</a> ;<br/>





<b>assume </b><a NAME="E1:87"/><i><font color="Green">E30</font></i>: 
 <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">X</font></span>)</span> is <a href="finset_1.html#V1">finite</a>
 ;<br/>

<a NAME="E2:87"/><b>then </b><i><font color="Green">E31</font></i>: 
 <a href="rfunct_3.html#K22" target="_self">FinS</a> <font color="Maroon">F</font>,<font color="Maroon">X</font>,<font color="Maroon">F</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">X</font> <a href="rfinseq.html#R1">are_fiberwise_equipotent</a> 
 
<b>by </b><i><a class="ref" href="rfunct_3.html#T9" target="_self">Th9</a></i>;<br/>
<a NAME="E3:87"/>
<span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">X</font></span>)</span> <a href="partfun1.html#K2">|</a> <font color="Maroon">X</font> <a href="hidden.html#R1">=</a> <font color="Maroon">F</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">X</font>
 
<b>by </b><i><a class="ref" href="relat_1.html#T101">RELAT_1:101</a></i>;<br/>
<b>hence </b><a NAME="E4:87"/>
 <a href="rfunct_3.html#K22" target="_self">FinS</a> <span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="partfun1.html#K2">|</a> <font color="Maroon">X</font></span>)</span>,<font color="Maroon">X</font> <a href="hidden.html#R1">=</a>  <a href="rfunct_3.html#K22" target="_self">FinS</a> <font color="Maroon">F</font>,<font color="Maroon">X</font>
 <b>by </b><i><a class="ref" href="rfunct_3.html#T11" target="_self">Th11</a>, <a class="ref" href="rfunct_3.html#T12" target="_self">Th12</a>, <a class="ref" href="rfunct_3.html#T9" target="_self">Th9</a></i>;<br/>


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