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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E52">Th52</font></span>: <a NAME="T52"><span class="comment"><font color="firebrick">:: BILINEAR:52</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">K</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>   <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>   <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>   <a href="vectsp_1.html#V5" title="VECTSP_1:attr.5">distributive</a>   <a href="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a> <br/>  for <font color="Olive" title="b2">V</font>, <font color="Olive" title="b3">W</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="vectsp_1.html#L1" title="VECTSP_1:struct.1">ModuleStr</a> over <font color="Olive" title="b1">K</font><br/>  for <font color="Olive" title="b4">f</font> being   <a href="hahnban1.html#NM1" title="HAHNBAN1:NM.1">Functional</a> of <font color="Olive" title="b2">V</font><br/>  for <font color="Olive" title="b5">g</font> being   <a href="hahnban1.html#NM1" title="HAHNBAN1:NM.1">Functional</a> of <font color="Olive" title="b3">W</font> holds   <a href="vectsp10.html#K8" title="VECTSP10:func.8">ker</a> <font color="Olive" title="b5">g</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="bilinear.html#K11" title="BILINEAR:func.11">rightker</a> <span class="p1">(<span class="default"><a href="bilinear.html#K9" title="BILINEAR:func.9">FormFunctional</a> (<font color="Olive" title="b4">f</font>,<font color="Olive" title="b5">g</font>)</span>)</span></div></div>
