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<div><span class="kw">theorem </span><a NAME="T9"><span class="comment"><font color="firebrick">:: FINTOPO8:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">NT</font> being   <a href="fintopo8.html#NM1" title="FINTOPO8:NM.1">NTopSpace</a><br/>  for <font color="Olive" title="b2">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">NT</font> holds   <a href="fintopo8.html#K4" title="FINTOPO8:func.4">Int</a> <font color="Olive" title="b2">A</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"> <font color="Olive" title="b3">O</font> where <font color="Olive" title="b3">O</font> is   <a href="fintopo7.html#V1" title="FINTOPO7:attr.1">open</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">NT</font> : <font color="Olive" title="b3">O</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">A</font> </span> } </span>  <span class="kw">by</span> <span class="lab"><a class="txt" href="fintopo8.html#E13"><span class="lab"><font color="Green" title="E6">Lm5</font></span></a></span>;<br/></div></div>
