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<div><span class="kw">theorem </span><a NAME="T85"><span class="comment"><font color="firebrick">:: TOPREAL6:85</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">D</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <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">D</font> is  <a href="rltopsp1.html#V9" title="RLTOPSP1:attr.9">bounded</a>  holds <br/> <a href="pscomp_1.html#K6" title="PSCOMP_1:func.6">W-bound</a> <font color="Olive" title="b1">D</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pscomp_1.html#K6" title="PSCOMP_1:func.6">W-bound</a> <span class="p1">(<span class="default"><a href="pre_topc.html#K2" title="PRE_TOPC:func.2">Cl</a> <font color="Olive" title="b1">D</font></span>)</span></div></div>
