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<div><span class="kw">theorem </span><a NAME="T4"><span class="comment"><font color="firebrick">:: BILINEAR:4</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="vectsp_1.html#V1" title="VECTSP_1:attr.1">right-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">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">K</font><br/>  for <font color="Olive" title="b5">f</font>, <font color="Olive" title="b6">g</font> being   <a href="bilinear.html#NM1" title="BILINEAR:NM.1">Form</a> of <font color="Olive" title="b2">V</font>,<font color="Olive" title="b3">W</font> holds  <font color="Olive" title="b4">a</font> <a href="bilinear.html#K3" title="BILINEAR:func.3">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">f</font> <a href="bilinear.html#K2" title="BILINEAR:func.2">+</a> <font color="Olive" title="b6">g</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">a</font> <a href="bilinear.html#K3" title="BILINEAR:func.3">*</a> <font color="Olive" title="b5">f</font></span>)</span> <a href="bilinear.html#K2" title="BILINEAR:func.2">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">a</font> <a href="bilinear.html#K3" title="BILINEAR:func.3">*</a> <font color="Olive" title="b6">g</font></span>)</span></div></div>
