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<a NAME="E1:100_1_1"/><i><font color="Green">E28</font></i>: 
<font color="Maroon">f</font> <a href="funct_4.html#K1">+*</a> <font color="Maroon">g</font> is    <a href="subset_1.html#M1">Element</a> of  <a href="ami_1.html#K7" target="_self">sproduct</a> the <a href="ami_1.html#U5" target="_self">Object-Kind</a> of <font color="Maroon">S</font>
 
<b>by </b><i><a class="ref" href="ami_1.html#D10" target="_self">Def10</a></i>;<br/>
<a NAME="E2:100_1_1"/>
( <font color="Maroon">f</font> is <a href="finset_1.html#V1">finite</a> &amp; <font color="Maroon">g</font> is <a href="finset_1.html#V1">finite</a> )
 
<b>by </b><i><a class="ref" href="ami_1.html#D14" target="_self">Def14</a></i>;<br/>
<a NAME="E3:100_1_1"/><b>then </b><i><font color="Green">E34</font></i>: 
(  <a href="relat_1.html#K1">dom</a> <font color="Maroon">f</font> is <a href="finset_1.html#V1">finite</a> &amp;  <a href="relat_1.html#K1">dom</a> <font color="Maroon">g</font> is <a href="finset_1.html#V1">finite</a> )
 
<b>by </b><i><a class="ref" href="finset_1.html#T29">FINSET_1:29</a></i>;<br/>
<a NAME="E4:100_1_1"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_4.html#K1">+*</a> <font color="Maroon">g</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">f</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">g</font></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>;<br/>
<a NAME="E5:100_1_1"/><b>then </b>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="funct_4.html#K1">+*</a> <font color="Maroon">g</font></span>)</span> is <a href="finset_1.html#V1">finite</a>
 
<b>by </b><i>, <a class="ref" href="finset_1.html#T14">FINSET_1:14</a></i>;<br/>
<a NAME="E6:100_1_1"/><b>then </b>
<font color="Maroon">f</font> <a href="funct_4.html#K1">+*</a> <font color="Maroon">g</font> is <a href="finset_1.html#V1">finite</a>
 
<b>by </b><i><a class="ref" href="finset_1.html#T29">FINSET_1:29</a></i>;<br/>
<b>hence </b><a NAME="E7:100_1_1"/>
<font color="Maroon">f</font> <a href="funct_4.html#K1">+*</a> <font color="Maroon">g</font> is    <a href="ami_1.html#M1" target="_self">FinPartState</a> of <font color="Maroon">S</font>
 <b>by </b><i>, <a class="ref" href="ami_1.html#D14" target="_self">Def14</a></i>;<br/>


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