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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E66">Th43</font></span>: <a NAME="T43"><span class="comment"><font color="firebrick">:: YELLOW_6:43</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="struct_0.html#L1" title="STRUCT_0:struct.1">1-sorted</a> <br/>  for <font color="Olive" title="b2">C</font> being   <a href="yellow_6.html#V8" title="YELLOW_6:attr.8">topological</a>   <a href="yellow_6.html#M4" title="YELLOW_6:mode.4">Convergence-Class</a> of <font color="Olive" title="b1">T</font><br/>  for <font color="Olive" title="b3">S</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="yellow_6.html#K12" title="YELLOW_6:func.12">ConvergenceSpace</a> <font color="Olive" title="b2">C</font></span>)</span><br/>  for <font color="Olive" title="b4">p</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="yellow_6.html#K12" title="YELLOW_6:func.12">ConvergenceSpace</a> <font color="Olive" title="b2">C</font></span>)</span>  st <font color="Olive" title="b4">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <font color="Olive" title="b3">S</font> holds <br/> ex <font color="Olive" title="b5">N</font> being   <a href="waybel_0.html#NM2" title="WAYBEL_0:NM.2">net</a> of  <a href="yellow_6.html#K12" title="YELLOW_6:func.12">ConvergenceSpace</a> <font color="Olive" title="b2">C</font> st <br/>( <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b5">N</font>,<font color="Olive" title="b4">p</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b2">C</font> &amp;  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a>  the <a href="waybel_0.html#U1" title="WAYBEL_0:sel.1">mapping</a> of <font color="Olive" title="b5">N</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">S</font> &amp; <font color="Olive" title="b4">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="yellow_6.html#K9" title="YELLOW_6:func.9">Lim</a> <font color="Olive" title="b5">N</font> )</div></div>
