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<div><span class="kw">theorem </span><a NAME="T42"><span class="comment"><font color="firebrick">:: RLTOPSP1:42</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="rltopsp1.html#NM1" title="RLTOPSP1:NM.1">LinearTopSpace</a><br/>  for <font color="Olive" title="b2">P</font> being   <a href="rltopsp1.html#V9" title="RLTOPSP1:attr.9">bounded</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">Q</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b3">Q</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">P</font> holds <br/><font color="Olive" title="b3">Q</font> is  <a href="rltopsp1.html#V9" title="RLTOPSP1:attr.9">bounded</a> </div></div>
