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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: FOMODEL4:15</font></span><br/></a><div class="add"> 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">D1</font> being   <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="fomodel4.html#V13" title="FOMODEL4:attr.13">-ranked</a>  1 <a href="fomodel4.html#V13" title="FOMODEL4:attr.13">-ranked</a>  <a href="fomodel4.html#NM2" title="FOMODEL4:NM.2">RuleSet</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">X</font> being  <font color="Olive">b<sub>2</sub></font> <a href="fomodel4.html#V11" title="FOMODEL4:attr.11">-expanded</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b4">phi</font> being   <a href="fomodel1.html#V15" title="FOMODEL1:attr.15">0wff</a>  <a href="fomodel1.html#NM3" title="FOMODEL1:NM.3">string</a> of <font color="Olive" title="b1">S</font> holds <br/> ( <span class="p1">(<span class="default"><font color="Olive" title="b2">D1</font> <a href="fomodel4.html#K41" title="FOMODEL4:func.41">Henkin</a> <font color="Olive" title="b3">X</font></span>)</span> <a href="fomodel2.html#K13" title="FOMODEL2:func.13">-AtomicEval</a> <font color="Olive" title="b4">phi</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 iff <font color="Olive" title="b4">phi</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">X</font> ) <span class="kw">by</span> <span class="lab"><a class="txt" href="fomodel4.html#E126"><span class="lab"><font color="Green" title="E77">Lm50</font></span></a></span>;<br/></div></div>
