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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E50">Def47</font></span>   defines <a href="fomodel4.html#K23" title="FOMODEL4:func.23">FuncRule</a> <a onclick="hs(this)" href="javascript:()">FOMODEL4:def 47 : <br/></a><span> for <font color="Olive" title="b1">S</font> being   <a href="fomodel1.html#NM2" title="FOMODEL1:NM.2">Language</a><br/>  for <font color="Olive" title="b2">R</font> being   <a href="relset_1.html#NM1" title="RELSET_1:NM.1">Relation</a> of <span class="p1">(<span class="default"><a href="setfam_1.html#K9" title="SETFAM_1:func.9">bool</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">S</font> <a href="fomodel4.html#K1" title="FOMODEL4:func.1">-sequents</a></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b1">S</font> <a href="fomodel4.html#K1" title="FOMODEL4:func.1">-sequents</a></span>)</span><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="fomodel4.html#NM1" title="FOMODEL4:NM.1">Rule</a> of <font color="Olive" title="b1">S</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="fomodel4.html#K23" title="FOMODEL4:func.23">FuncRule</a> <font color="Olive" title="b2">R</font> iff  for <font color="Olive" title="b4">inseqs</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b4">inseqs</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="setfam_1.html#K9" title="SETFAM_1:func.9">bool</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">S</font> <a href="fomodel4.html#K1" title="FOMODEL4:func.1">-sequents</a></span>)</span> holds <br/><font color="Olive">b<sub>3</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">inseqs</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b5">x</font> where <font color="Olive" title="b5">x</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">S</font> <a href="fomodel4.html#K1" title="FOMODEL4:func.1">-sequents</a>  : <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b4">inseqs</font>,<font color="Olive" title="b5">x</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b2">R</font> </span> } </span>  );<br/></span></div>
