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<a NAME="E1:127_1_1"/>
 <a href="bilinear.html#K13" title="BILINEAR:func.13">rightker</a> <span class="p1">(<span class="default"><a href="bilinear.html#K18" title="BILINEAR:func.18">RQForm</a> <font color="Maroon" title="c4">f</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p3">(<span class="default"><a href="vectsp10.html#K6" title="VECTSP10:func.6">VectQuot</a> <font color="Maroon" title="c3">W</font>,<span class="p4">(<span class="default"><a href="bilinear.html#K16" title="BILINEAR:func.16">RKer</a> <font color="Maroon" title="c4">f</font></span>)</span></span>)</span></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="bilinear.html#D25" target="_self" title="BILINEAR:def.25">Def25</a></span>;<br/>
<a NAME="E2:127_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E60">A1</font></span>: 
 <a href="bilinear.html#K13" title="BILINEAR:func.13">rightker</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#K18" title="BILINEAR:func.18">RQForm</a> <font color="Maroon" title="c4">f</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p3">(<span class="default"><a href="vectsp10.html#K6" title="VECTSP10:func.6">VectQuot</a> <font color="Maroon" title="c3">W</font>,<span class="p4">(<span class="default"><a href="bilinear.html#K16" title="BILINEAR:func.16">RKer</a> <font color="Maroon" title="c4">f</font></span>)</span></span>)</span></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="bilinear.html#T45" target="_self" title="BILINEAR:th.45">Th45</a></span>;<br/>
<a NAME="E3:127_1_1"/>
 <a href="bilinear.html#K12" title="BILINEAR:func.12">leftker</a> <span class="p1">(<span class="default"><a href="bilinear.html#K17" title="BILINEAR:func.17">LQForm</a> <font color="Maroon" title="c4">f</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p3">(<span class="default"><a href="vectsp10.html#K6" title="VECTSP10:func.6">VectQuot</a> <font color="Maroon" title="c2">V</font>,<span class="p4">(<span class="default"><a href="bilinear.html#K15" title="BILINEAR:func.15">LKer</a> <font color="Maroon" title="c4">f</font></span>)</span></span>)</span></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="bilinear.html#D24" target="_self" title="BILINEAR:def.24">Def24</a></span>;<br/>
<a NAME="E4:127_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E61">A2</font></span>: 
 <a href="bilinear.html#K12" title="BILINEAR:func.12">leftker</a> <span class="p1">(<span class="default"><a href="bilinear.html#K18" title="BILINEAR:func.18">RQForm</a> <span class="p2">(<span class="default"><a href="bilinear.html#K17" title="BILINEAR:func.17">LQForm</a> <font color="Maroon" title="c4">f</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p3">(<span class="default"><a href="vectsp10.html#K6" title="VECTSP10:func.6">VectQuot</a> <font color="Maroon" title="c2">V</font>,<span class="p4">(<span class="default"><a href="bilinear.html#K15" title="BILINEAR:func.15">LKer</a> <font color="Maroon" title="c4">f</font></span>)</span></span>)</span></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="bilinear.html#T46" target="_self" title="BILINEAR:th.46">Th46</a></span>;<br/>
<a NAME="E5:127_1_1"/>
(  <a href="bilinear.html#K12" title="BILINEAR:func.12">leftker</a> <span class="p1">(<span class="default"><a href="bilinear.html#K18" title="BILINEAR:func.18">RQForm</a> <span class="p2">(<span class="default"><a href="bilinear.html#K17" title="BILINEAR:func.17">LQForm</a> <font color="Maroon" title="c4">f</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="bilinear.html#K12" title="BILINEAR:func.12">leftker</a> <span class="p1">(<span class="default"><a href="bilinear.html#K19" title="BILINEAR:func.19">QForm</a> <font color="Maroon" title="c4">f</font></span>)</span> &amp;  <a href="bilinear.html#K13" title="BILINEAR:func.13">rightker</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#K18" title="BILINEAR:func.18">RQForm</a> <font color="Maroon" title="c4">f</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="bilinear.html#K13" title="BILINEAR:func.13">rightker</a> <span class="p1">(<span class="default"><a href="bilinear.html#K19" title="BILINEAR:func.19">QForm</a> <font color="Maroon" title="c4">f</font></span>)</span> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="bilinear.html#T50" target="_self" title="BILINEAR:th.50">Th50</a></span>;<br/>
<span class="kw">hence </span><a NAME="E6:127_1_1"/>
( not  <a href="bilinear.html#K19" title="BILINEAR:func.19">QForm</a> <font color="Maroon" title="c4">f</font> is  <a href="bilinear.html#V5" title="BILINEAR:attr.5">degenerated-on-left</a>  &amp; not  <a href="bilinear.html#K19" title="BILINEAR:func.19">QForm</a> <font color="Maroon" title="c4">f</font> is  <a href="bilinear.html#V6" title="BILINEAR:attr.6">degenerated-on-right</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:127_1_1"><span class="lab"><font color="Green" title="E61">A2</font></span></a>, <a class="txt" href="#E2:127_1_1"><span class="lab"><font color="Green" title="E60">A1</font></span></a>, <a class="ref" href="bilinear.html#D24" target="_self" title="BILINEAR:def.24">Def24</a>, <a class="ref" href="bilinear.html#D25" target="_self" title="BILINEAR:def.25">Def25</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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