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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: FOMODEL3:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">U</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">u</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">U</font><br/>  for <font color="Olive" title="b3">S</font> being   <a href="fomodel1.html#NM2" title="FOMODEL1:NM.2">Language</a><br/>  for <font color="Olive" title="b4">l</font> being   <a href="fomodel1.html#V4" title="FOMODEL1:attr.4">literal</a>  <a href="fomodel1.html#NM1" title="FOMODEL1:NM.1">Element</a> of <font color="Olive" title="b3">S</font><br/>  for <font color="Olive" title="b5">E</font> being   <a href="eqrel_1.html#NM2" title="EQREL_1:NM.2">Equivalence_Relation</a> of <font color="Olive" title="b1">U</font><br/>  for <font color="Olive" title="b6">i</font> being  <font color="Olive">b<sub>5</sub></font> <a href="fomodel3.html#V3" title="FOMODEL3:attr.3">-respecting</a>   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of <font color="Olive" title="b1">U</font> <a href="fomodel2.html#K15" title="FOMODEL2:func.15">-InterpretersOf</a> <font color="Olive" title="b3">S</font> holds  (<font color="Olive" title="b4">l</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b5">E</font> <a href="fomodel3.html#K17" title="FOMODEL3:func.17">-class</a></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">u</font></span>)</span>) <a href="fomodel2.html#K34" title="FOMODEL2:func.34">ReassignIn</a> <span class="p1">(<span class="default"><font color="Olive" title="b6">i</font> <a href="fomodel3.html#K23" title="FOMODEL3:func.23">quotient</a> <font color="Olive" title="b5">E</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">(<font color="Olive" title="b4">l</font>,<font color="Olive" title="b2">u</font>) <a href="fomodel2.html#K34" title="FOMODEL2:func.34">ReassignIn</a> <font color="Olive" title="b6">i</font></span>)</span> <a href="fomodel3.html#K22" title="FOMODEL3:func.22">quotient</a> <font color="Olive" title="b5">E</font></div></div>
