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<span class="kw">let </span><font color="Maroon" title="c1">X</font> be   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p1">(<span class="default"><a href="dualsp01.html#K12" title="DUALSP01:func.12">R_VectorSpace_of_BoundedLinearFunctionals</a> <font color="Maroon" title="c1">X</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">X</font> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span><br/>

<a NAME="E1:43"/><span class="lab"><font color="Green" title="E21">A1</font></span>: 
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">X</font> <a href="dualsp01.html#K8" title="DUALSP01:func.8">*'</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">X</font> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="dualsp01.html#T14" target="_self" onmouseover="rs('dualsp01/T14')" onmouseout="rh()">Th22b</a></span>;<br/>
<a NAME="E2:43"/>
 <a href="dualsp01.html#K12" title="DUALSP01:func.12">R_VectorSpace_of_BoundedLinearFunctionals</a> <font color="Maroon" title="c1">X</font> is    <a href="rlsub_1.html#M1" title="RLSUB_1:mode.1">Subspace</a> of <font color="Maroon" title="c1">X</font> <a href="dualsp01.html#K8" title="DUALSP01:func.8">*'</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="dualsp01.html#T17" target="_self" onmouseover="rs('dualsp01/T17')" onmouseout="rh()">Th22</a>, <a class="ref" href="rsspace.html#T11" onmouseover="rs('rsspace/T11')" onmouseout="rh()">RSSPACE:11</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:43"/>
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p1">(<span class="default"><a href="dualsp01.html#K12" title="DUALSP01:func.12">R_VectorSpace_of_BoundedLinearFunctionals</a> <font color="Maroon" title="c1">X</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">X</font> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:43"><span class="lab"><font color="Green" title="E21">A1</font></span></a>, <a class="ref" href="rlsub_1.html#T11" onmouseover="rs('rlsub_1/T11')" onmouseout="rh()">RLSUB_1:11</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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