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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="struct_0.html#V3">empty</a> <a href="rlvect_1.html#V3">Abelian</a> <a href="rlvect_1.html#V4">add-associative</a> <a href="rlvect_1.html#V5">right_zeroed</a> <a href="rlvect_1.html#V6">right_complementable</a> <a href="group_1.html#V4">associative</a> <a href="vectsp_1.html#V7">distributive</a> <a href="vectsp_1.html#V8">left_unital</a>  <a href="vectsp_1.html#L3">doubleLoopStr</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="vectsp_1.html#NM6">VectSp</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>4</sub></font> be   <a href="bilinear.html#NM2">bilinear-Form</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>;<br/>





the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="bilinear.html#K15" target="_self">LKer</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> = 
 <a href="bilinear.html#K12" target="_self">leftker</a> <font color="Maroon">c<sub>4</sub></font>
<b>by </b><i><a class="ref" href="bilinear.html#D19" target="_self">Def19</a></i>
<br/>.= 
 <a href="bilinear.html#K12" target="_self">leftker</a> <span class="p1">(<span class="default"><a href="bilinear.html#K18" target="_self">RQForm</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="bilinear.html#T46" target="_self">Th46</a></i>
<br/>.= 
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="bilinear.html#K15" target="_self">LKer</a> <span class="p2">(<span class="default"><a href="bilinear.html#K18" target="_self">RQForm</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="bilinear.html#D19" target="_self">Def19</a></i>
;<br/>
<b>hence </b><a NAME="E2:113"/>
 <a href="bilinear.html#K15" target="_self">LKer</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="bilinear.html#K15" target="_self">LKer</a> <span class="p1">(<span class="default"><a href="bilinear.html#K18" target="_self">RQForm</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="vectsp_4.html#T37">VECTSP_4:37</a></i>;<br/>


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