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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E24">Th22</font></span>: <a NAME="T22"><span class="comment"><font color="firebrick">:: LFUZZY_0:22</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font>, <font color="Olive" title="b3">Z</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="b4">R</font> being   <a href="fuzzy_2.html#NM1" title="FUZZY_2:NM.1">RMembership_Func</a> of <font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">Y</font><br/>  for <font color="Olive" title="b5">S</font> being   <a href="fuzzy_2.html#NM1" title="FUZZY_2:NM.1">RMembership_Func</a> of <font color="Olive" title="b2">Y</font>,<font color="Olive" title="b3">Z</font><br/>  for <font color="Olive" title="b6">x</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b7">z</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b3">Z</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b4">R</font> <a href="fuzzy_4.html#K3" title="FUZZY_4:func.3">(#)</a> <font color="Olive" title="b5">S</font></span>)</span> <a href="lfuzzy_0.html#K8" title="LFUZZY_0:func.8">.</a> (<font color="Olive" title="b6">x</font>,<font color="Olive" title="b7">z</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="yellow_0.html#K1" title="YELLOW_0:func.1">"\/"</a> (<span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b4">R</font> <a href="lfuzzy_0.html#K8" title="LFUZZY_0:func.8">.</a> (<font color="Olive" title="b6">x</font>,<font color="Olive" title="b8">y</font>)</span>)</span> <a href="lattice3.html#K12" title="LATTICE3:func.12">"/\"</a> <span class="p3">(<span class="default"><font color="Olive" title="b5">S</font> <a href="lfuzzy_0.html#K8" title="LFUZZY_0:func.8">.</a> (<font color="Olive" title="b8">y</font>,<font color="Olive" title="b7">z</font>)</span>)</span></span>)</span> where <font color="Olive" title="b8">y</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">Y</font> : verum </span> } </span> ,<span class="p1">(<span class="default"><a href="lfuzzy_0.html#K1" title="LFUZZY_0:func.1">RealPoset</a> <span class="p2"><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">[.</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,1</span><a href="rcomp_1.html#K1" title="RCOMP_1:func.1">.]</a></span></span>)</span>)</div></div>
