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<div><span class="kw">theorem </span><a NAME="T6"><span class="comment"><font color="firebrick">:: FOMODEL3:6</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">S</font> being   <a href="fomodel1.html#NM2" title="FOMODEL1:NM.2">Language</a><br/>  for <font color="Olive" title="b3">a</font> being   <a href="fomodel1.html#V10" title="FOMODEL1:attr.10">ofAtomicFormula</a>  <a href="fomodel1.html#NM1" title="FOMODEL1:NM.1">Element</a> of <font color="Olive" title="b2">S</font><br/>  for <font color="Olive" title="b4">T</font> being  <span class="p1"><a href="int_2.html#K1" title="INT_2:func.1">|.</a><span class="default"><span class="p2">(<span class="default"><a href="fomodel1.html#K19" title="FOMODEL1:func.19">ar</a> <font color="Olive">b<sub>3</sub></font></span>)</span></span><a href="int_2.html#K1" title="INT_2:func.1">.|</a></span> <a href="card_1.html#V3" title="CARD_1:attr.3">-element</a>   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of <span class="p1">(<span class="default"><a href="fomodel1.html#K35" title="FOMODEL1:func.35">AllTermsOf</a> <font color="Olive" title="b2">S</font></span>)</span> <a href="fomodel0.html#K3" title="FOMODEL0:func.3">*</a>  holds <br/> ( (  not <font color="Olive" title="b3">a</font> is  <a href="fomodel1.html#V7" title="FOMODEL1:attr.7">relational</a>  implies <span class="p1">(<span class="default"><font color="Olive" title="b1">X</font> <a href="fomodel3.html#K4" title="FOMODEL3:func.4">-freeInterpreter</a> <font color="Olive" title="b3">a</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">T</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">a</font> <a href="fomodel3.html#K1" title="FOMODEL3:func.1">-compound</a> <font color="Olive" title="b4">T</font> ) &amp; ( <font color="Olive" title="b3">a</font> is  <a href="fomodel1.html#V7" title="FOMODEL1:attr.7">relational</a>  implies <span class="p1">(<span class="default"><font color="Olive" title="b1">X</font> <a href="fomodel3.html#K4" title="FOMODEL3:func.4">-freeInterpreter</a> <font color="Olive" title="b3">a</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">T</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="fomodel0.html#K10" title="FOMODEL0:func.10">chi</a> (<font color="Olive" title="b1">X</font>,<span class="p2">(<span class="default"><a href="fomodel1.html#K32" title="FOMODEL1:func.32">AtomicFormulasOf</a> <font color="Olive" title="b2">S</font></span>)</span>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">a</font> <a href="fomodel3.html#K1" title="FOMODEL3:func.1">-compound</a> <font color="Olive" title="b4">T</font></span>)</span> ) )</div></div>
