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<span class="kw">reconsider </span><font color="Maroon" title="c2">X</font> =  <a href="dualsp01.html#K2" title="DUALSP01:func.2">RLSp2RVSp</a> <font color="Maroon" title="c1">V</font> as   <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>  ;<br/>
<a NAME="E2:9_1_1"/>
 <a href="dualsp01.html#K4" title="DUALSP01:func.4">RVSp2RLSp</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">X</font> <a href="hahnban1.html#K8" title="HAHNBAN1:func.8">*'</a></span>)</span> is   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a>
 
;<br/>
<span class="kw">hence </span><a NAME="E3:9_1_1"/>
(  ex <font color="Olive">b<sub>1</sub></font> being   <a href="rlvect_1.html#V1" title="RLVECT_1:attr.1">strict</a>  <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a> ex <font color="Olive" title="b2">X</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>  st <br/>( <font color="Olive" title="b2">X</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="Olive">b<sub>1</sub></font> <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="Olive" title="b2">X</font> <a href="hahnban1.html#K8" title="HAHNBAN1:func.8">*'</a></span>)</span> ) &amp; (  for <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="rlvect_1.html#V1" title="RLVECT_1:attr.1">strict</a>  <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a>  st  ex <font color="Olive" title="b3">X</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>  st <br/>( <font color="Olive" title="b3">X</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="Olive">b<sub>1</sub></font> <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="Olive" title="b3">X</font> <a href="hahnban1.html#K8" title="HAHNBAN1:func.8">*'</a></span>)</span> ) &amp;  ex <font color="Olive" title="b3">X</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>  st <br/>( <font color="Olive" title="b3">X</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="Olive">b<sub>2</sub></font> <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="Olive" title="b3">X</font> <a href="hahnban1.html#K8" title="HAHNBAN1:func.8">*'</a></span>)</span> ) holds <br/><font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>2</sub></font> ) )
 ; <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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