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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th21</font></span>: <a NAME="T16"><span class="comment"><font color="firebrick">:: DUALSP01:16</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">f</font> being   <a href="hahnban.html#NM1" title="HAHNBAN:NM.1">Functional</a> of <font color="Olive" title="b1">X</font>  st (  for <font color="Olive" title="b3">x</font> being   <a href="rlvect_1.html#NM1" title="RLVECT_1:NM.1">VECTOR</a> of <font color="Olive" title="b1">X</font> holds  <font color="Olive" title="b2">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  ) holds <br/><font color="Olive" title="b2">f</font> is  <a href="dualsp01.html#V1" title="DUALSP01:attr.1">Lipschitzian</a> </div></div>
