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<b>let </b><font color="Maroon">K</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="rlvect_1.html#L1">LoopStr</a> ;<br/><b>let </b><font color="Maroon">V</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="vectsp_1.html#L4">VectSpStr</a> of <font color="Maroon">K</font>, <font color="Maroon">W</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="vectsp_1.html#L4">VectSpStr</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">f</font> be   <a href="bilinear.html#NM1">Form</a> of <font color="Maroon">V</font>,<font color="Maroon">W</font>;<br/><b>let </b><font color="Maroon">w</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">W</font>;<br/>







<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="29_1"><b>now </b></a><div class="add"><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>thus </b><span class="p1">(<span class="default"><a href="bilinear.html#K10" target="_self">FunctionalSAF</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> <font color="Maroon">v</font> = 
<span class="p1">(<span class="default"><a href="bilinear.html#K4" target="_self">-</a> <font color="Maroon">f</font></span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">v</font>,<font color="Maroon">w</font>
<b>by </b><i/>
<br/>.= 
 <a href="rlvect_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="binop_1.html#K2">.</a> <font color="Maroon">v</font>,<font color="Maroon">w</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#K10" target="_self">FunctionalSAF</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>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="hahnban1.html#K4">-</a> <span class="p2">(<span class="default"><a href="bilinear.html#K10" target="_self">FunctionalSAF</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>
<b>by </b><i><a class="ref" href="hahnban1.html#D7">HAHNBAN1:def 7</a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:29"/>
 <a href="bilinear.html#K10" target="_self">FunctionalSAF</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> <a href="funct_2.html#R2">=</a>  <a href="hahnban1.html#K4">-</a> <span class="p1">(<span class="default"><a href="bilinear.html#K10" target="_self">FunctionalSAF</a> <font color="Maroon">f</font>,<font color="Maroon">w</font></span>)</span>
 <b>by </b><i><a class="ref" href="funct_2.html#T113">FUNCT_2:113</a></i>;<br/>


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