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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">Th17</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: FUZZY_1:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">f</font> being   <a href="fuzzy_1.html#NM1" title="FUZZY_1:NM.1">Membership_Func</a> of <font color="Olive" title="b1">C</font> holds <br/> (  <a href="fuzzy_1.html#K2" title="FUZZY_1:func.2">max</a> (<font color="Olive" title="b2">f</font>,<span class="p1">(<span class="default"><a href="fuzzy_1.html#K5" title="FUZZY_1:func.5">UMF</a> <font color="Olive" title="b1">C</font></span>)</span>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="fuzzy_1.html#K5" title="FUZZY_1:func.5">UMF</a> <font color="Olive" title="b1">C</font> &amp;  <a href="fuzzy_1.html#K1" title="FUZZY_1:func.1">min</a> (<font color="Olive" title="b2">f</font>,<span class="p1">(<span class="default"><a href="fuzzy_1.html#K5" title="FUZZY_1:func.5">UMF</a> <font color="Olive" title="b1">C</font></span>)</span>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b2">f</font> &amp;  <a href="fuzzy_1.html#K2" title="FUZZY_1:func.2">max</a> (<font color="Olive" title="b2">f</font>,<span class="p1">(<span class="default"><a href="fuzzy_1.html#K4" title="FUZZY_1:func.4">EMF</a> <font color="Olive" title="b1">C</font></span>)</span>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b2">f</font> &amp;  <a href="fuzzy_1.html#K1" title="FUZZY_1:func.1">min</a> (<font color="Olive" title="b2">f</font>,<span class="p1">(<span class="default"><a href="fuzzy_1.html#K4" title="FUZZY_1:func.4">EMF</a> <font color="Olive" title="b1">C</font></span>)</span>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="fuzzy_1.html#K4" title="FUZZY_1:func.4">EMF</a> <font color="Olive" title="b1">C</font> )</div></div>
