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<div>:: <span class="kw">deftheorem </span>   defines <a href="lopban_8.html#V2" title="LOPBAN_8:attr.2">Bilinear</a> <a onclick="hs(this)" href="javascript:()">LOPBAN_8:def 2 : <br/></a><span> for <font color="Olive" title="b1">E</font>, <font color="Olive" title="b2">F</font>, <font color="Olive" title="b3">G</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b4">f</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <span class="p1"><a href="prvect_3.html#K6" title="PRVECT_3:func.6">[:</a><span class="default"><font color="Olive" title="b1">E</font>,<font color="Olive" title="b2">F</font></span><a href="prvect_3.html#K6" title="PRVECT_3:func.6">:]</a></span>,<font color="Olive" title="b3">G</font> holds <br/> ( <font color="Olive" title="b4">f</font> is  <a href="lopban_8.html#V2" title="LOPBAN_8:attr.2">Bilinear</a>  iff  ex <font color="Olive" title="b5">g</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">E</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">F</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b3">G</font> st <br/>( <font color="Olive" title="b4">f</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <font color="Olive" title="b5">g</font> &amp; <font color="Olive" title="b5">g</font> is  <a href="lopban_8.html#V1" title="LOPBAN_8:attr.1">Bilinear</a>  ) );<br/></span></div>
