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<div><span class="kw">theorem </span><a NAME="T3"><span class="comment"><font color="firebrick">:: ROUGHS_4:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   <a href="roughs_4.html#V29" title="ROUGHS_4:attr.29">with_properly_defined_Topology</a>   <a href="roughs_4.html#L5" title="ROUGHS_4:struct.5">2TopStruct</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">T</font> holds <br/> ( <font color="Olive" title="b2">A</font> is  <a href="roughs_4.html#V22" title="ROUGHS_4:attr.22">op-open</a>  iff <font color="Olive" title="b2">A</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  )</div></div>
