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<div><span class="kw">theorem </span><a NAME="T25"><span class="comment"><font color="firebrick">:: NORMSP_4:25</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>  st  not <font color="Olive" title="b1">X</font> is  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>  &amp; <font color="Olive" title="b1">X</font> is  <a href="dualsp02.html#V1" title="DUALSP02:attr.1">Reflexive</a>  holds <br/>( <font color="Olive" title="b1">X</font> is  <a href="normsp_3.html#V2" title="NORMSP_3:attr.2">separable</a>  iff  <a href="dualsp01.html#K17" title="DUALSP01:func.17">DualSp</a> <span class="p1">(<span class="default"><a href="dualsp01.html#K17" title="DUALSP01:func.17">DualSp</a> <font color="Olive" title="b1">X</font></span>)</span> is  <a href="normsp_3.html#V2" title="NORMSP_3:attr.2">separable</a>  )</div></div>
