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<b>let </b><font color="Maroon" title="c1">K</font> be   <a href="vectsp_1.html#NM2" title="VECTSP_1:NM.2">Field</a>;<br/><b>let </b><font color="Maroon" title="c2">V</font>, <font color="Maroon" title="c3">W</font> be  non <a href="realset2.html#V3" title="REALSET2:attr.3">trivial</a> <a href="vectsp_1.html#NM6" title="VECTSP_1:NM.6">VectSp</a> of <font color="Maroon" title="c1">K</font>;<br/><b>let </b><font color="Maroon" title="c4">f</font> be  <a href="funct_1.html#V3" title="FUNCT_1:attr.3">V6</a> <a href="hahnban1.html#NM2" title="HAHNBAN1:NM.2">linear-Functional</a> of <font color="Maroon" title="c2">V</font>;<br/><b>let </b><font color="Maroon" title="c5">g</font> be  <a href="funct_1.html#V3" title="FUNCT_1:attr.3">V6</a> <a href="hahnban1.html#NM2" title="HAHNBAN1:NM.2">linear-Functional</a> of <font color="Maroon" title="c3">W</font>;<br/>







<a NAME="E1:122"/><i><font color="Green" title="E59">A1</font></i>: 
<font color="Maroon" title="c5">g</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="hahnban1.html#K7" title="HAHNBAN1:func.7">0Functional</a> <font color="Maroon" title="c3">W</font>
 
;<br/>
<a NAME="E2:122"/><i><font color="Green" title="E60">A2</font></i>: 
 <a href="vectsp10.html#K11" title="VECTSP10:func.11">CQFunctional</a> <font color="Maroon" title="c4">f</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="hahnban1.html#K7" title="HAHNBAN1:func.7">0Functional</a> <span class="p1">(<span class="default"><a href="vectsp10.html#K6" title="VECTSP10:func.6">VectQuot</a> <font color="Maroon" title="c2">V</font>,<span class="p2">(<span class="default"><a href="vectsp10.html#K9" title="VECTSP10:func.9">Ker</a> <font color="Maroon" title="c4">f</font></span>)</span></span>)</span>
 
;<br/>
<a NAME="E3:122"/><i><font color="Green" title="E61">A3</font></i>: 
 <a href="bilinear.html#K17" title="BILINEAR:func.17">LQForm</a> <span class="p1">(<span class="default"><a href="bilinear.html#K11" title="BILINEAR:func.11">FormFunctional</a> <font color="Maroon" title="c4">f</font>,<font color="Maroon" title="c5">g</font></span>)</span> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="bilinear.html#K11" title="BILINEAR:func.11">FormFunctional</a> <span class="p1">(<span class="default"><a href="vectsp10.html#K11" title="VECTSP10:func.11">CQFunctional</a> <font color="Maroon" title="c4">f</font></span>)</span>,<font color="Maroon" title="c5">g</font>
 
<b>by </b><i><a class="txt" href="bilinear.html#E1:122"><i><font color="Green" title="E59">A1</font></i></a>, <a class="ref" href="bilinear.html#T55" target="_self" title="BILINEAR:th.55">Th55</a></i>;<br/>
<b>thus </b> <a href="bilinear.html#K19" title="BILINEAR:func.19">QForm</a> <span class="p1">(<span class="default"><a href="bilinear.html#K11" title="BILINEAR:func.11">FormFunctional</a> <font color="Maroon" title="c4">f</font>,<font color="Maroon" title="c5">g</font></span>)</span> = 
 <a href="bilinear.html#K18" title="BILINEAR:func.18">RQForm</a> <span class="p1">(<span class="default"><a href="bilinear.html#K17" title="BILINEAR:func.17">LQForm</a> <span class="p2">(<span class="default"><a href="bilinear.html#K11" title="BILINEAR:func.11">FormFunctional</a> <font color="Maroon" title="c4">f</font>,<font color="Maroon" title="c5">g</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="bilinear.html#T49" target="_self" title="BILINEAR:th.49">Th49</a></i>
<br/>.= 
 <a href="bilinear.html#K18" title="BILINEAR:func.18">RQForm</a> <span class="p1">(<span class="default"><a href="bilinear.html#K11" title="BILINEAR:func.11">FormFunctional</a> <span class="p2">(<span class="default"><a href="vectsp10.html#K11" title="VECTSP10:func.11">CQFunctional</a> <font color="Maroon" title="c4">f</font></span>)</span>,<font color="Maroon" title="c5">g</font></span>)</span>
<b>by </b><i><a class="txt" href="bilinear.html#E1:122"><i><font color="Green" title="E59">A1</font></i></a>, <a class="txt" href="bilinear.html#E3:122"><i><font color="Green" title="E61">A3</font></i></a>, <a class="ref" href="bilinear.html#T55" target="_self" title="BILINEAR:th.55">Th55</a></i>
<br/>.= 
 <a href="bilinear.html#K11" title="BILINEAR:func.11">FormFunctional</a> <span class="p1">(<span class="default"><a href="vectsp10.html#K11" title="VECTSP10:func.11">CQFunctional</a> <font color="Maroon" title="c4">f</font></span>)</span>,<span class="p1">(<span class="default"><a href="vectsp10.html#K11" title="VECTSP10:func.11">CQFunctional</a> <font color="Maroon" title="c5">g</font></span>)</span>
<b>by </b><i><a class="txt" href="bilinear.html#E2:122"><i><font color="Green" title="E60">A2</font></i></a>, <a class="ref" href="bilinear.html#T56" target="_self" title="BILINEAR:th.56">Th56</a></i>
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