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<div><span class="kw">theorem </span><a NAME="T18"><span class="comment"><font color="firebrick">:: NORMSP_3:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b2">R</font>, <font color="Olive" title="b3">S</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="b2">R</font> is  <a href="normsp_3.html#V1" title="NORMSP_3:attr.1">dense</a>  &amp; <font color="Olive" title="b3">S</font> is  <a href="nfcont_1.html#V3" title="NFCONT_1:attr.3">open</a>  holds <br/> <a href="normsp_3.html#K1" title="NORMSP_3:func.1">Cl</a> <font color="Olive" title="b3">S</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="normsp_3.html#K1" title="NORMSP_3:func.1">Cl</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">S</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <font color="Olive" title="b2">R</font></span>)</span></div></div>
