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<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[   <a href="hidden.html#M1">set</a> ,   <a href="hidden.html#M1">set</a> ] <b>means </b>( <font color="Maroon">P<sub>1</sub></font>[<font color="Maroon">a<sub>1</sub></font>] &amp; <font color="Maroon">P<sub>2</sub></font>[<font color="Maroon">a<sub>2</sub></font>] );<br/>
<a NAME="E1:58_1"/><i><font color="Green">E42</font></i>: 
for <font color="Olive">x</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>()<br/> for <font color="Olive">y</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>3</sub></font>()  st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">x</font>,<font color="Olive">y</font>] holds <br/><font color="Maroon">F<sub>4</sub></font>(<font color="Olive">x</font>,<font color="Olive">y</font>) <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>5</sub></font>(<font color="Olive">x</font>,<font color="Olive">y</font>)
 
<b>by </b><i/>;<br/>
<a NAME="E2:58_1"/><i><font color="Green">E48</font></i>: 
for <font color="Olive">x</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>()<br/> for <font color="Olive">y</font> being   <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>3</sub></font>() holds <br/> ( <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">x</font>,<font color="Olive">y</font>] iff <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">x</font>,<font color="Olive">y</font>] )
 
;<br/>
<a NAME="E3:58_1"/><i><font color="Green">E52</font></i>: 
<span class="p1">{<span class="default"> <font color="Maroon">F<sub>4</sub></font>(<font color="Olive">x'</font>,<font color="Olive">y'</font>) where <font color="Olive">x'</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>(), <font color="Olive">y'</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>3</sub></font>() : <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">x'</font>,<font color="Olive">y'</font>] </span>}</span>  <a href="hidden.html#R1">=</a> <span class="p1">{<span class="default"> <font color="Maroon">F<sub>5</sub></font>(<font color="Olive">x</font>,<font color="Olive">y</font>) where <font color="Olive">x</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>(), <font color="Olive">y</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>3</sub></font>() : <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">x</font>,<font color="Olive">y</font>] </span>}</span> 
 
<b>from </b><i><a class="ref" href="lfuzzy_0.html#S4" target="_self">LFUZZY_0:sch 4</a>(, );<br/></i>
<a NAME="E4:58_1"/><i><font color="Green">E55</font></i>: 
 <a href="yellow_0.html#K1">"\/"</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <span class="p3">{<span class="default"> <font color="Maroon">F<sub>4</sub></font>(<font color="Olive">x</font>,<font color="Olive">y</font>) where <font color="Olive">y</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>3</sub></font>() : <font color="Maroon">P<sub>2</sub></font>[<font color="Olive">y</font>] </span>}</span> ,<font color="Maroon">F<sub>1</sub></font>()</span>)</span> where <font color="Olive">x</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>() : <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">x</font>] </span>}</span> ,<font color="Maroon">F<sub>1</sub></font>() <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#K1">"\/"</a> <span class="p1">{<span class="default"> <font color="Maroon">F<sub>4</sub></font>(<font color="Olive">x</font>,<font color="Olive">y</font>) where <font color="Olive">x</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>(), <font color="Olive">y</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>3</sub></font>() : ( <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">x</font>] &amp; <font color="Maroon">P<sub>2</sub></font>[<font color="Olive">y</font>] ) </span>}</span> ,<font color="Maroon">F<sub>1</sub></font>()
 
<b>from </b><i><a class="ref" href="lfuzzy_0.html#S1" target="_self">LFUZZY_0:sch 1</a>();<br/></i>
 <a href="yellow_0.html#K1">"\/"</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <span class="p3">{<span class="default"> <font color="Maroon">F<sub>5</sub></font>(<font color="Olive">x'</font>,<font color="Olive">y'</font>) where <font color="Olive">x'</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>() : <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">x'</font>] </span>}</span> ,<font color="Maroon">F<sub>1</sub></font>()</span>)</span> where <font color="Olive">y'</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>3</sub></font>() : <font color="Maroon">P<sub>2</sub></font>[<font color="Olive">y'</font>] </span>}</span> ,<font color="Maroon">F<sub>1</sub></font>() = 
 <a href="yellow_0.html#K1">"\/"</a> <span class="p1">{<span class="default"> <font color="Maroon">F<sub>5</sub></font>(<font color="Olive">x'</font>,<font color="Olive">y'</font>) where <font color="Olive">x'</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>(), <font color="Olive">y'</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>3</sub></font>() : ( <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">x'</font>] &amp; <font color="Maroon">P<sub>2</sub></font>[<font color="Olive">y'</font>] ) </span>}</span> ,<font color="Maroon">F<sub>1</sub></font>()
<b>from </b><i><a class="ref" href="lfuzzy_0.html#S2" target="_self">LFUZZY_0:sch 2</a>()</i>
<br/>.= 
 <a href="yellow_0.html#K1">"\/"</a> <span class="p1">{<span class="default"> <font color="Maroon">F<sub>4</sub></font>(<font color="Olive">x'</font>,<font color="Olive">y'</font>) where <font color="Olive">x'</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>(), <font color="Olive">y'</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>3</sub></font>() : ( <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">x'</font>] &amp; <font color="Maroon">P<sub>2</sub></font>[<font color="Olive">y'</font>] ) </span>}</span> ,<font color="Maroon">F<sub>1</sub></font>()
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E6:58_1"/>
 <a href="yellow_0.html#K1">"\/"</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <span class="p3">{<span class="default"> <font color="Maroon">F<sub>4</sub></font>(<font color="Olive">x</font>,<font color="Olive">y</font>) where <font color="Olive">y</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>3</sub></font>() : <font color="Maroon">P<sub>2</sub></font>[<font color="Olive">y</font>] </span>}</span> ,<font color="Maroon">F<sub>1</sub></font>()</span>)</span> where <font color="Olive">x</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>() : <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">x</font>] </span>}</span> ,<font color="Maroon">F<sub>1</sub></font>() <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#K1">"\/"</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default"><a href="yellow_0.html#K1">"\/"</a> <span class="p3">{<span class="default"> <font color="Maroon">F<sub>5</sub></font>(<font color="Olive">x'</font>,<font color="Olive">y'</font>) where <font color="Olive">x'</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>2</sub></font>() : <font color="Maroon">P<sub>1</sub></font>[<font color="Olive">x'</font>] </span>}</span> ,<font color="Maroon">F<sub>1</sub></font>()</span>)</span> where <font color="Olive">y'</font> is    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>3</sub></font>() : <font color="Maroon">P<sub>2</sub></font>[<font color="Olive">y'</font>] </span>}</span> ,<font color="Maroon">F<sub>1</sub></font>()
 <b>by </b><i/>;<br/>


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