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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E17">Def10</font></span>   defines <a href="dualsp04.html#K3" title="DUALSP04:func.3">BoundedLinearFunctionals</a> <a onclick="hs(this)" href="javascript:()">DUALSP04:def 8 : <br/></a><span> 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">b<sub>2</sub></font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">X</font> <a href="dualsp01.html#K8" title="DUALSP01:func.8">*'</a></span>)</span> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="dualsp04.html#K3" title="DUALSP04:func.3">BoundedLinearFunctionals</a> <font color="Olive" title="b1">X</font> iff  for <font color="Olive" title="b3">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b3">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>2</sub></font> iff <font color="Olive" title="b3">x</font> is   <a href="bhsp_6.html#V2" title="BHSP_6:attr.2">Lipschitzian</a>  <a href="hahnban.html#NM3" title="HAHNBAN:NM.3">linear-Functional</a> of <font color="Olive" title="b1">X</font> ) );<br/></span></div>
