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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>, <font color="Maroon">c<sub>3</sub></font> be    <a href="fuzzy_1.html#M1" target="_self">Membership_Func</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>





<b>assume </b><a NAME="E1:28"/>
<font color="Maroon">c<sub>3</sub></font> <a href="fuzzy_1.html#NR2" target="_self">c=</a> 
 ;<br/>

<a NAME="E2:28"/><b>then </b>
( <font color="Maroon">c<sub>3</sub></font> <a href="fuzzy_1.html#NR2" target="_self">c=</a>  &amp;  <a href="fuzzy_1.html#K2" target="_self">max</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="fuzzy_1.html#NR2" target="_self">c=</a>  )
 
<b>by </b><i><a class="ref" href="fuzzy_1.html#T20" target="_self">Th20</a>, <a class="ref" href="fuzzy_1.html#T18" target="_self">Th18</a></i>;<br/>
<b>hence </b><a NAME="E3:28"/>
 <a href="fuzzy_1.html#K2" target="_self">max</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="fuzzy_1.html#E6"><i><font color="Green">Lemma6</font></i></a></i>;<br/>


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