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<span class="kw">let </span><font color="Maroon" title="c1">V</font> be   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</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"><font color="Maroon" title="c1">V</font> <a href="dualsp01.html#K5" title="DUALSP01:func.5">*'</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">V</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/>

<span class="kw">consider </span><font color="Maroon" title="c2">Y</font> being   <a href="vectsp_1.html#NM9" title="VECTSP_1:NM.9">VectSp</a> of  <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a> <span class="kw"> such that </span><br/><a NAME="E2:15"/><span class="lab"><font color="Green" title="E5">AS1</font></span>: 
( <font color="Maroon" title="c2">Y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="dualsp01.html#K2" title="DUALSP01:func.2">RLSp2RVSp</a> <font color="Maroon" title="c1">V</font> &amp; <font color="Maroon" title="c1">V</font> <a href="dualsp01.html#K5" title="DUALSP01:func.5">*'</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="dualsp01.html#K4" title="DUALSP01:func.4">RVSp2RLSp</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">Y</font> <a href="hahnban1.html#K8" title="HAHNBAN1:func.8">*'</a></span>)</span> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="dualsp01.html#D5" target="_self" onmouseover="rs('dualsp01/D5')" onmouseout="rh()">def2</a></span>;<br/>
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">V</font> <a href="dualsp01.html#K5" title="DUALSP01:func.5">*'</a></span>)</span> = 
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">Y</font> <a href="hahnban1.html#K8" title="HAHNBAN1:func.8">*'</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:15"><span class="lab"><font color="Green" title="E5">AS1</font></span></a></span>
<br/>.= 
 <a href="hahnban1.html#K7" title="HAHNBAN1:func.7">0Functional</a> <font color="Maroon" title="c2">Y</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="hahnban1.html#D10" onmouseover="rs('hahnban1/D10')" onmouseout="rh()">HAHNBAN1:def 10</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c2">Y</font></span>)</span> <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="hahnban1.html#D7" onmouseover="rs('hahnban1/D7')" onmouseout="rh()">HAHNBAN1:def 7</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E4:15"/>
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">V</font> <a href="dualsp01.html#K5" title="DUALSP01:func.5">*'</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">V</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="#E2:15"><span class="lab"><font color="Green" title="E5">AS1</font></span></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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