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<b>set </b><font color="Maroon">W</font> =  <a href="vectsp10.html#K9" target="_self">Ker</a> <font color="Maroon">f</font>;<br/>
<b>set </b><font color="Maroon">qf</font> =  <a href="vectsp10.html#K11" target="_self">CQFunctional</a> <font color="Maroon">f</font>;<br/>
<b>set </b><font color="Maroon">qv</font> =  <a href="vectsp10.html#K6" target="_self">VectQuot</a> <font color="Maroon">V</font>,<span class="p1">(<span class="default"><a href="vectsp10.html#K9" target="_self">Ker</a> <font color="Maroon">f</font></span>)</span>;<br/>
<b>assume </b><a NAME="E1:72_1_1"/>
 <a href="vectsp10.html#K11" target="_self">CQFunctional</a> <font color="Maroon">f</font> is <a href="funct_1.html#V3">constant</a>
 ;<br/>

<a NAME="E2:72_1_1"/><b>then </b><i><font color="Green">E29</font></i>: 
 <a href="vectsp10.html#K11" target="_self">CQFunctional</a> <font color="Maroon">f</font> <a href="funct_2.html#R2">=</a>  <a href="hahnban1.html#K7">0Functional</a> <span class="p1">(<span class="default"><a href="vectsp10.html#K6" target="_self">VectQuot</a> <font color="Maroon">V</font>,<span class="p2">(<span class="default"><a href="vectsp10.html#K9" target="_self">Ker</a> <font color="Maroon">f</font></span>)</span></span>)</span>
 
<b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">v</font> being   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font><b> such that </b><br/><a NAME="E4:72_1_1"/><i><font color="Green">E35</font></i>: 
( <font color="Maroon">v</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font> &amp; <font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">K</font> )
 <b>by </b><i><a class="txt" href="vectsp10.html#E2:72_1_1"><i><font color="Green">E29</font></i></a></i>;<br/>
<b>reconsider </b><font color="Maroon">cv</font> = <font color="Maroon">v</font> <a href="vectsp_4.html#K3">+</a> <span class="p1">(<span class="default"><a href="vectsp10.html#K9" target="_self">Ker</a> <font color="Maroon">f</font></span>)</span> as   <a href="vectsp_1.html#NM5">Vector</a> of <span class="p1">(<span class="default"><a href="vectsp10.html#K6" target="_self">VectQuot</a> <font color="Maroon">V</font>,<span class="p2">(<span class="default"><a href="vectsp10.html#K9" target="_self">Ker</a> <font color="Maroon">f</font></span>)</span></span>)</span> <b>by </b><i/>;<br/>
 <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">K</font> = 
<span class="p1">(<span class="default"><a href="vectsp10.html#K11" target="_self">CQFunctional</a> <font color="Maroon">f</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">cv</font>
<b>by </b><i>, <a class="ref" href="hahnban1.html#T22">HAHNBAN1:22</a></i>
<br/>.= 
<font color="Maroon">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font>
<b>by </b><i><a class="ref" href="vectsp10.html#T2" target="_self">Th2</a></i>
;<br/>
<b>hence </b><a NAME="E7:72_1_1"/>
contradiction
 <b>by </b><i/>;<br/>


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