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<b>let </b><font color="Maroon">C</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">f</font> be    <a href="fuzzy_1.html#M1">Membership_Func</a> of <font color="Maroon">C</font>;<br/><b>let </b><font color="Maroon">g</font> be    <a href="fuzzy_1.html#M1">Membership_Func</a> of <font color="Maroon">C</font>;<br/><b>let </b><font color="Maroon">h</font> be    <a href="fuzzy_1.html#M1">Membership_Func</a> of <font color="Maroon">C</font>;<br/>







<b>set </b><font color="Maroon">f1</font> =  <a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">f</font>;<br/>
<b>set </b><font color="Maroon">g1</font> =  <a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">g</font>;<br/>
<b>set </b><font color="Maroon">h1</font> =  <a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">h</font>;<br/>
<span class="p1">(<span class="default"><a href="fuzzy_1.html#K2">max</a> <span class="p2">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <font color="Maroon">f</font>,<span class="p3">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">g</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <span class="p3">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">f</font></span>)</span>,<font color="Maroon">g</font></span>)</span></span>)</span> <a href="fuzzy_2.html#K1" target="_self">\</a> <font color="Maroon">h</font> = 
 <a href="fuzzy_1.html#K2">max</a> <span class="p1">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <span class="p2">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">h</font></span>)</span>,<span class="p2">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <font color="Maroon">f</font>,<span class="p3">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">g</font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <span class="p2">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">h</font></span>)</span>,<span class="p2">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <span class="p3">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">f</font></span>)</span>,<font color="Maroon">g</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="fuzzy_1.html#T10">FUZZY_1:10</a></i>
<br/>.= 
 <a href="fuzzy_1.html#K2">max</a> <span class="p1">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <span class="p2">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <span class="p3">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">h</font></span>)</span>,<span class="p3">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">g</font></span>)</span></span>)</span>,<font color="Maroon">f</font></span>)</span>,<span class="p1">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <span class="p2">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">h</font></span>)</span>,<span class="p2">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <span class="p3">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">f</font></span>)</span>,<font color="Maroon">g</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="fuzzy_1.html#T8">FUZZY_1:8</a></i>
<br/>.= 
 <a href="fuzzy_1.html#K2">max</a> <span class="p1">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <span class="p2">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <span class="p3">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">h</font></span>)</span>,<span class="p3">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">g</font></span>)</span></span>)</span>,<font color="Maroon">f</font></span>)</span>,<span class="p1">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <span class="p2">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <span class="p3">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">h</font></span>)</span>,<span class="p3">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">f</font></span>)</span></span>)</span>,<font color="Maroon">g</font></span>)</span>
<b>by </b><i><a class="ref" href="fuzzy_1.html#T8">FUZZY_1:8</a></i>
<br/>.= 
 <a href="fuzzy_1.html#K2">max</a> <span class="p1">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <font color="Maroon">f</font>,<span class="p2">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <span class="p3">(<span class="default"><a href="fuzzy_1.html#K2">max</a> <font color="Maroon">h</font>,<font color="Maroon">g</font></span>)</span></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <font color="Maroon">g</font>,<span class="p2">(<span class="default"><a href="fuzzy_1.html#K1">min</a> <span class="p3">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">h</font></span>)</span>,<span class="p3">(<span class="default"><a href="fuzzy_1.html#K3">1_minus</a> <font color="Maroon">f</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="fuzzy_1.html#T12">FUZZY_1:12</a></i>
<br/>.= 
 <a href="fuzzy_1.html#K2">max</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="fuzzy_2.html#K1" target="_self">\</a> <span class="p2">(<span class="default"><a href="fuzzy_1.html#K2">max</a> <font color="Maroon">h</font>,<font color="Maroon">g</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">g</font> <a href="fuzzy_2.html#K1" target="_self">\</a> <span class="p2">(<span class="default"><a href="fuzzy_1.html#K2">max</a> <font color="Maroon">f</font>,<font color="Maroon">h</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="fuzzy_1.html#T12">FUZZY_1:12</a></i>
;<br/>
<b>hence </b><a NAME="E2:23"/>
<span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="fuzzy_1.html#K6">\+\</a> <font color="Maroon">g</font></span>)</span> <a href="fuzzy_2.html#K1" target="_self">\</a> <font color="Maroon">h</font> <a href="hidden.html#R1">=</a>  <a href="fuzzy_1.html#K2">max</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="fuzzy_2.html#K1" target="_self">\</a> <span class="p2">(<span class="default"><a href="fuzzy_1.html#K2">max</a> <font color="Maroon">g</font>,<font color="Maroon">h</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">g</font> <a href="fuzzy_2.html#K1" target="_self">\</a> <span class="p2">(<span class="default"><a href="fuzzy_1.html#K2">max</a> <font color="Maroon">f</font>,<font color="Maroon">h</font></span>)</span></span>)</span>
 ;<br/>


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