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<div>:: <span class="kw">deftheorem </span>   defines <a href="fomodel4.html#V10" title="FOMODEL4:attr.10">-inconsistent</a> <a onclick="hs(this)" href="javascript:()">FOMODEL4:def 15 : <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">D</font> being   <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    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b3">X</font> is <font color="Olive" title="b2">D</font> <a href="fomodel4.html#V10" title="FOMODEL4:attr.10">-inconsistent</a>  iff  ex <font color="Olive" title="b4">phi1</font>, <font color="Olive" title="b5">phi2</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> st <br/>( <font color="Olive" title="b4">phi1</font> is <font color="Olive" title="b3">X</font>,<font color="Olive" title="b2">D</font> <a href="fomodel4.html#V9" title="FOMODEL4:attr.9">-provable</a>  &amp; <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"><a href="fomodel2.html#K1" title="FOMODEL2:func.1">TheNorSymbOf</a> <font color="Olive" title="b1">S</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="fomodel1.html#K42" title="FOMODEL1:func.42">^</a> <font color="Olive" title="b5">phi2</font> is <font color="Olive" title="b3">X</font>,<font color="Olive" title="b2">D</font> <a href="fomodel4.html#V9" title="FOMODEL4:attr.9">-provable</a>  ) );<br/></span></div>
