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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E71">Def34</font></span>   defines <a href="fomodel2.html#K36" title="FOMODEL2:func.36">SubWffsOf</a> <a onclick="hs(this)" href="javascript:()">FOMODEL2:def 35 : <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">phi</font> being   <a href="fomodel2.html#V4" title="FOMODEL2:attr.4">wff</a>  <a href="fomodel1.html#NM3" title="FOMODEL1:NM.3">string</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive">b<sub>3</sub></font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( (  not <font color="Olive" title="b2">phi</font> is  <a href="fomodel1.html#V15" title="FOMODEL1:attr.15">0wff</a>  implies ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="fomodel2.html#K36" title="FOMODEL2:func.36">SubWffsOf</a> <font color="Olive" title="b2">phi</font> iff  ex <font color="Olive" title="b4">phi1</font> being   <a href="fomodel2.html#V4" title="FOMODEL2:attr.4">wff</a>  <a href="fomodel1.html#NM3" title="FOMODEL1:NM.3">string</a> of <font color="Olive" title="b1">S</font> ex <font color="Olive" title="b5">p</font> being   <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a> st <br/>( <font color="Olive" title="b5">p</font> is  <a href="fomodel1.html#K1" title="FOMODEL1:func.1">AllSymbolsOf</a> <font color="Olive" title="b1">S</font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>  &amp; <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b4">phi1</font>,<font color="Olive" title="b5">p</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> &amp; <font color="Olive" title="b2">phi</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2"><a href="fomodel1.html#K43" title="FOMODEL1:func.43">&lt;*</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Olive" title="b1">S</font> <a href="fomodel1.html#K22" title="FOMODEL1:func.22">-firstChar</a></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">phi</font></span>)</span></span><a href="fomodel1.html#K43" title="FOMODEL1:func.43">*&gt;</a></span> <a href="fomodel1.html#K42" title="FOMODEL1:func.42">^</a> <font color="Olive" title="b4">phi1</font></span>)</span> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b5">p</font> ) ) ) &amp; ( <font color="Olive" title="b2">phi</font> is  <a href="fomodel1.html#V15" title="FOMODEL1:attr.15">0wff</a>  implies ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="fomodel2.html#K36" title="FOMODEL2:func.36">SubWffsOf</a> <font color="Olive" title="b2">phi</font> iff <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b2">phi</font>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> ) ) );<br/></span></div>
