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<b>let </b><font color="Maroon">K</font> be   <a href="vectsp_1.html#NM2">Field</a>;<br/><b>let </b><font color="Maroon">V</font> be  non <a href="realset2.html#V3">trivial</a> <a href="vectsp_1.html#NM6">VectSp</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">v</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="vectsp_1.html#NM4">Scalar</a> of ;<br/><b>let </b><font color="Maroon">W</font> be    <a href="vectsp_5.html#M1">Linear_Compl</a> of  <a href="vectsp_7.html#K1">Lin</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><font color="Maroon">v</font></span><a href="domain_1.html#K6">}</a></span>;<br/>









<b>assume </b><a NAME="E1:57"/><i><font color="Green">E29</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>
 ;<br/>

<b>set </b><font color="Maroon">cf</font> =  <a href="vectsp10.html#K7" target="_self">coeffFunctional</a> <font color="Maroon">v</font>,<font color="Maroon">W</font>;<br/>
<b>thus </b><span class="p1">(<span class="default"><a href="vectsp10.html#K7" target="_self">coeffFunctional</a> <font color="Maroon">v</font>,<font color="Maroon">W</font></span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">v</font></span>)</span> = 
<font color="Maroon">a</font> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="vectsp10.html#K7" target="_self">coeffFunctional</a> <font color="Maroon">v</font>,<font color="Maroon">W</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font></span>)</span>
<b>by </b><i><a class="ref" href="hahnban1.html#D12">HAHNBAN1:def 12</a></i>
<br/>.= 
<font color="Maroon">a</font> <a href="group_1.html#K10">*</a> <span class="p1">(<span class="default"><a href="group_1.html#K2">1.</a> <font color="Maroon">K</font></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
<font color="Maroon">a</font>
<b>by </b><i><a class="ref" href="vectsp_1.html#D19">VECTSP_1:def 19</a></i>
;<br/>


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