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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E270">Th52</font></span>: <a NAME="T370"><span class="comment"><font color="firebrick">:: GROUP_1A:370</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="group_1a.html#V8" title="GROUP_1A:attr.8">BinContinuous</a>  <a href="group_1a.html#NM3" title="GROUP_1A:NM.3">TopaddGroup</a><br/>  for <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">O</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">G</font>  st <font color="Olive" title="b3">O</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  holds <br/><font color="Olive" title="b2">A</font> <a href="ideal_1.html#K11" title="IDEAL_1:func.11">+</a> <font color="Olive" title="b3">O</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a> </div></div>
