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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E40">Lm89A</font></span>: <a NAME="T37"><span class="comment"><font color="firebrick">:: DUALSP04:37</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="bhsp_1.html#NM1" title="BHSP_1:NM.1">RealUnitarySpace</a><br/>  for <font color="Olive" title="b2">f</font> being   <a href="hahnban.html#NM3" title="HAHNBAN:NM.3">linear-Functional</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">f</font> is  <a href="bhsp_6.html#V2" title="BHSP_6:attr.2">Lipschitzian</a>  holds <br/><font color="Olive" title="b2">f</font> <a href="relset_1.html#K8" title="RELSET_1:func.8">"</a> <span class="p1"><a href="seq_4.html#K1" title="SEQ_4:func.1">{</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span><a href="seq_4.html#K1" title="SEQ_4:func.1">}</a></span> is  <a href="dualsp04.html#V2" title="DUALSP04:attr.2">closed</a> </div></div>
