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<div><span class="kw">theorem </span><a NAME="T54"><span class="comment"><font color="firebrick">:: RUSUB_5:54</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="bhsp_1.html#NM1" title="BHSP_1:NM.1">RealUnitarySpace</a><br/>  for <font color="Olive" title="b2">M</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="rusub_5.html#K5" title="RUSUB_5:func.5">TopUnitSpace</a> <font color="Olive" title="b1">V</font></span>)</span><br/>  for <font color="Olive" title="b3">v</font> being   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b4">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st <font color="Olive" title="b2">M</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="bhsp_2.html#K6" title="BHSP_2:func.6">Sphere</a> (<font color="Olive" title="b3">v</font>,<font color="Olive" title="b4">r</font>) holds <br/><font color="Olive" title="b2">M</font> is  <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a> </div></div>
