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<b>let </b><font color="Maroon">X</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">A</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">f</font> be   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">X</font>, <a href="finsub_1.html#K5">Fin</a> <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">i</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">X</font>;<br/>







<a NAME="E1:61"/><i><font color="Green">E14</font></i>: 
(  <a href="setwiseo.html#K9" target="_self">FinUnion</a> <font color="Maroon">A</font> is <a href="binop_1.html#V3">idempotent</a> &amp;  <a href="setwiseo.html#K9" target="_self">FinUnion</a> <font color="Maroon">A</font> is <a href="binop_1.html#V1">commutative</a> &amp;  <a href="setwiseo.html#K9" target="_self">FinUnion</a> <font color="Maroon">A</font> is <a href="binop_1.html#V2">associative</a> )
 
<b>by </b><i><a class="ref" href="setwiseo.html#T18" target="_self">Th18</a>, <a class="ref" href="setwiseo.html#T19" target="_self">Th19</a>, </i>;<br/>
<b>thus </b><a NAME="E2:61"/>
 <a href="setwiseo.html#K10" target="_self">FinUnion</a> <span class="p1"><a href="setwiseo.html#K2" target="_self">{.</a><span class="default"><font color="Maroon">i</font></span><a href="setwiseo.html#K2" target="_self">.}</a></span>,<font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">i</font>
 <b>by </b><i>, <a class="ref" href="setwiseo.html#T11" target="_self">Th11</a></i>;<br/>


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