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<div><span class="kw">theorem </span><a NAME="T39"><span class="comment"><font color="firebrick">:: JORDAN1H:39</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</span>  st <font color="Olive" title="b1">P</font> is  <a href="rltopsp1.html#V9" title="RLTOPSP1:attr.9">bounded</a>  holds <br/> not  <a href="jordan2c.html#K2" title="JORDAN2C:func.2">UBD</a> <font color="Olive" title="b1">P</font> is  <a href="rltopsp1.html#V9" title="RLTOPSP1:attr.9">bounded</a> </div></div>
