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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E12">Def15</font></span>   defines <a href="mmlquery.html#K18" title="MMLQUERY:func.18">NOT</a> <a onclick="hs(this)" href="javascript:()">MMLQUERY:def 15 : <br/></a><span> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">O</font>, <font color="Olive">b<sub>3</sub></font> being   <a href="mmlquery.html#NM2" title="MMLQUERY:NM.2">Operation</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mmlquery.html#K18" title="MMLQUERY:func.18">NOT</a> <font color="Olive" title="b2">O</font> iff  for <font color="Olive" title="b4">L</font> being   <a href="mmlquery.html#NM1" title="MMLQUERY:NM.1">List</a> of <font color="Olive" title="b1">X</font> holds  <font color="Olive" title="b4">L</font> <a href="mmlquery.html#K2" title="MMLQUERY:func.2">|</a> <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="tarski.html#K3" title="TARSKI:func.3">union</a> <span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><a href="funcop_1.html#K15" title="FUNCOP_1:func.15">IFEQ</a> (<span class="p3">(<span class="default"><font color="Olive" title="b5">x</font> <a href="mmlquery.html#K1" title="MMLQUERY:func.1">.</a> <font color="Olive" title="b2">O</font></span>)</span>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>,<span class="p3"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Olive" title="b5">x</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>)</span>)</span> 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">X</font> : <font color="Olive" title="b5">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">L</font> </span> } </span>  );<br/></span></div>
