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<div><span class="kw">theorem </span><a NAME="T4"><span class="comment"><font color="firebrick">:: ROUGHS_4:4</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   <a href="roughs_4.html#V18" title="ROUGHS_4:attr.18">with_closure</a>   <a href="roughs_4.html#V28" title="ROUGHS_4:attr.28">with_properly_defined_topology</a>   <a href="roughs_4.html#L4" title="ROUGHS_4:struct.4">1TopStruct</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   the <a href="roughs_4.html#U1" title="ROUGHS_4:sel.1">FirstOp</a> of <font color="Olive" title="b1">T</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <font color="Olive" title="b2">A</font></div></div>
