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<div><span class="kw">theorem </span><a NAME="T18"><span class="comment"><font color="firebrick">:: TEX_4:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Y</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="pre_topc.html#L1" title="PRE_TOPC:struct.1">TopStruct</a> <br/>  for <font color="Olive" title="b2">x</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">Y</font> holds  <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b2">x</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="tex_4.html#K2" title="TEX_4:func.2">MaxADSet</a> <font color="Olive" title="b2">x</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="tex_4.html#T12" target="_self" onmouseover="rs('tex_4/T12')" onmouseout="rh()">Th12</a></span>;<br/></div></div>
