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<b>let </b><font color="Maroon">c<sub>1</sub></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">c<sub>2</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">c<sub>1</sub></font>, <a href="finsub_1.html#K5">Fin</a> <font color="Maroon">c<sub>2</sub></font>;<br/>





<a NAME="E1:64"/><i><font color="Green">E40</font></i>: 
(  <a href="setwiseo.html#K9" target="_self">FinUnion</a> <font color="Maroon">c<sub>2</sub></font> is <a href="binop_1.html#V3">idempotent</a> &amp;  <a href="setwiseo.html#K9" target="_self">FinUnion</a> <font color="Maroon">c<sub>2</sub></font> is <a href="binop_1.html#V1">commutative</a> &amp;  <a href="setwiseo.html#K9" target="_self">FinUnion</a> <font color="Maroon">c<sub>2</sub></font> is <a href="binop_1.html#V2">associative</a> &amp;  <a href="setwiseo.html#K9" target="_self">FinUnion</a> <font color="Maroon">c<sub>2</sub></font> <a href="setwiseo.html#NR1" target="_self">has_a_unity</a>  )
 
<b>by </b><i><a class="ref" href="setwiseo.html#T49" target="_self">Th49</a>, <a class="ref" href="setwiseo.html#T50" target="_self">Th50</a>, <a class="ref" href="setwiseo.html#T51" target="_self">Th51</a>, <a class="ref" href="setwiseo.html#T53" target="_self">Th53</a></i>;<br/>
<b>thus </b> <a href="setwiseo.html#K10" target="_self">FinUnion</a> <span class="p1">(<span class="default"><a href="setwiseo.html#K1" target="_self">{}.</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>3</sub></font> = 
<span class="p1">(<span class="default"><a href="setwiseo.html#K9" target="_self">FinUnion</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="setwiseo.html#K7" target="_self">$$</a> <span class="p1">(<span class="default"><a href="setwiseo.html#K1" target="_self">{}.</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<font color="Maroon">c<sub>3</sub></font>

<br/>.= 
 <a href="binop_1.html#K3">the_unity_wrt</a> <span class="p1">(<span class="default"><a href="setwiseo.html#K9" target="_self">FinUnion</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="setwiseo.html#E1:64"><i><font color="Green">E40</font></i></a>, <a class="ref" href="setwiseo.html#T40" target="_self">Th40</a></i>
<br/>.= 
 <a href="xboole_0.html#K1">{}</a> 
<b>by </b><i><a class="ref" href="setwiseo.html#T55" target="_self">Th55</a></i>
;<br/>


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