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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E52">Th68</font></span>: <a NAME="T68"><span class="comment"><font color="firebrick">:: FLANG_1:68</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">E</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">A</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">E</font> <a href="catalan2.html#K3" title="CATALAN2:func.3">^omega</a></span>)</span><br/>  for <font color="Olive" title="b3">a</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">E</font> <a href="catalan2.html#K3" title="CATALAN2:func.3">^omega</a>   st <font color="Olive" title="b3">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">A</font> <a href="flang_1.html#K8" title="FLANG_1:func.8">*</a>  holds <br/><font color="Olive" title="b2">A</font> <a href="flang_1.html#K8" title="FLANG_1:func.8">*</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">A</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p2"><a href="flang_1.html#K4" title="FLANG_1:func.4">{</a><span class="default"><font color="Olive" title="b3">a</font></span><a href="flang_1.html#K4" title="FLANG_1:func.4">}</a></span></span>)</span> <a href="flang_1.html#K8" title="FLANG_1:func.8">*</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="zfmisc_1.html#T31" onmouseover="rs('zfmisc_1/T31')" onmouseout="rh()">ZFMISC_1:31</a>, <a class="ref" href="flang_1.html#T67" target="_self" onmouseover="rs('flang_1/T67')" onmouseout="rh()">Th67</a></span>;<br/></div></div>
