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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E13">Th1</font></span>: <a NAME="T1"><span class="comment"><font color="firebrick">:: FOMODEL1:1</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> holds <br/> ( <span class="p1">(<span class="default"><a href="fomodel1.html#K16" title="FOMODEL1:func.16">LettersOf</a> <font color="Olive" title="b1">S</font></span>)</span> <a href="subset_1.html#K8" title="SUBSET_1:func.8">/\</a> <span class="p1">(<span class="default"><a href="fomodel1.html#K3" title="FOMODEL1:func.3">OpSymbolsOf</a> <font color="Olive" title="b1">S</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <span class="p1">(<span class="default"><a href="fomodel1.html#K5" title="FOMODEL1:func.5">TermSymbolsOf</a> <font color="Olive" title="b1">S</font></span>)</span> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p1">(<span class="default"><a href="fomodel1.html#K6" title="FOMODEL1:func.6">LowerCompoundersOf</a> <font color="Olive" title="b1">S</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="fomodel1.html#K3" title="FOMODEL1:func.3">OpSymbolsOf</a> <font color="Olive" title="b1">S</font> &amp; <span class="p1">(<span class="default"><a href="fomodel1.html#K4" title="FOMODEL1:func.4">RelSymbolsOf</a> <font color="Olive" title="b1">S</font></span>)</span> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p1">(<span class="default"><a href="fomodel1.html#K9" title="FOMODEL1:func.9">OwnSymbolsOf</a> <font color="Olive" title="b1">S</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="fomodel1.html#K18" title="FOMODEL1:func.18">TheEqSymbOf</a> <font color="Olive" title="b1">S</font></span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> &amp;  <a href="fomodel1.html#K9" title="FOMODEL1:func.9">OwnSymbolsOf</a> <font color="Olive" title="b1">S</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="fomodel1.html#K17" title="FOMODEL1:func.17">AtomicFormulaSymbolsOf</a> <font color="Olive" title="b1">S</font> &amp;  <a href="fomodel1.html#K4" title="FOMODEL1:func.4">RelSymbolsOf</a> <font color="Olive" title="b1">S</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="fomodel1.html#K6" title="FOMODEL1:func.6">LowerCompoundersOf</a> <font color="Olive" title="b1">S</font> &amp;  <a href="fomodel1.html#K3" title="FOMODEL1:func.3">OpSymbolsOf</a> <font color="Olive" title="b1">S</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="fomodel1.html#K5" title="FOMODEL1:func.5">TermSymbolsOf</a> <font color="Olive" title="b1">S</font> &amp;  <a href="fomodel1.html#K16" title="FOMODEL1:func.16">LettersOf</a> <font color="Olive" title="b1">S</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="fomodel1.html#K5" title="FOMODEL1:func.5">TermSymbolsOf</a> <font color="Olive" title="b1">S</font> &amp;  <a href="fomodel1.html#K5" title="FOMODEL1:func.5">TermSymbolsOf</a> <font color="Olive" title="b1">S</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="fomodel1.html#K9" title="FOMODEL1:func.9">OwnSymbolsOf</a> <font color="Olive" title="b1">S</font> &amp;  <a href="fomodel1.html#K3" title="FOMODEL1:func.3">OpSymbolsOf</a> <font color="Olive" title="b1">S</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="fomodel1.html#K6" title="FOMODEL1:func.6">LowerCompoundersOf</a> <font color="Olive" title="b1">S</font> &amp;  <a href="fomodel1.html#K6" title="FOMODEL1:func.6">LowerCompoundersOf</a> <font color="Olive" title="b1">S</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="fomodel1.html#K17" title="FOMODEL1:func.17">AtomicFormulaSymbolsOf</a> <font color="Olive" title="b1">S</font> )</div></div>
