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<b>let </b><font color="Maroon">w</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="bilinear.html#D14" target="_self">BILINEAR:def 14</a><br/>

<b>set </b><font color="Maroon">Ffg</font> =  <a href="bilinear.html#K9" target="_self">FunctionalFAF</a> <span class="p1">(<span class="default"><a href="bilinear.html#K4" target="_self">-</a> <font color="Maroon">f</font></span>)</span>,<font color="Maroon">w</font>;<br/>
<b>set </b><font color="Maroon">Ff</font> =  <a href="bilinear.html#K9" target="_self">FunctionalFAF</a> <font color="Maroon">f</font>,<font color="Maroon">w</font>;<br/>
<b>let </b><font color="Maroon">v</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">W</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="hahnban1.html#D12">HAHNBAN1:def 12</a><br/><b>let </b><font color="Maroon">a</font> be   <a href="vectsp_1.html#NM4">Scalar</a> of ;<br/>



<b>thus </b><span class="p1">(<span class="default"><a href="bilinear.html#K9" target="_self">FunctionalFAF</a> <span class="p2">(<span class="default"><a href="bilinear.html#K4" target="_self">-</a> <font color="Maroon">f</font></span>)</span>,<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> = 
<span class="p1">(<span class="default"><a href="hahnban1.html#K4">-</a> <span class="p2">(<span class="default"><a href="bilinear.html#K9" target="_self">FunctionalFAF</a> <font color="Maroon">f</font>,<font color="Maroon">w</font></span>)</span></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>
<b>by </b><i/>
<br/>.= 
 <a href="rlvect_1.html#K5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="bilinear.html#K9" target="_self">FunctionalFAF</a> <font color="Maroon">f</font>,<font color="Maroon">w</font></span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><font color="Maroon">a</font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">v</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="hahnban1.html#D7">HAHNBAN1:def 7</a></i>
<br/>.= 
 <a href="rlvect_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="group_1.html#K1">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="bilinear.html#K9" target="_self">FunctionalFAF</a> <font color="Maroon">f</font>,<font color="Maroon">w</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font></span>)</span></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#K1">*</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="bilinear.html#K9" target="_self">FunctionalFAF</a> <font color="Maroon">f</font>,<font color="Maroon">w</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="vectsp_1.html#T40">VECTSP_1:40</a></i>
<br/>.= 
<font color="Maroon">a</font> <a href="group_1.html#K1">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="hahnban1.html#K4">-</a> <span class="p3">(<span class="default"><a href="bilinear.html#K9" target="_self">FunctionalFAF</a> <font color="Maroon">f</font>,<font color="Maroon">w</font></span>)</span></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#D7">HAHNBAN1:def 7</a></i>
<br/>.= 
<font color="Maroon">a</font> <a href="group_1.html#K1">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="bilinear.html#K9" target="_self">FunctionalFAF</a> <span class="p3">(<span class="default"><a href="bilinear.html#K4" target="_self">-</a> <font color="Maroon">f</font></span>)</span>,<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/>
;<br/>


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