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<span class="kw">let </span><font color="Maroon" title="c6">y</font> be   <a href="vectsp_1.html#NM6" title="VECTSP_1:NM.6">Vector</a> of <font color="Maroon" title="c3">W</font>; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="bilinear.html#D13" target="_self" title="BILINEAR:def.13">BILINEAR:def 13</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="bilinear.html#K10" title="BILINEAR:func.10">FunctionalSAF</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>,<font color="Maroon" title="c6">y</font> is  <a href="grcat_1.html#V1" title="GRCAT_1:attr.1">additive</a> </span><br/>

<span class="kw">set </span><font color="Maroon" title="c7">fg</font> =  <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>;<br/>
<span class="kw">set </span><font color="Maroon" title="c8">F</font> =  <a href="bilinear.html#K10" title="BILINEAR:func.10">FunctionalSAF</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>,<font color="Maroon" title="c6">y</font>;<br/>
<a NAME="E1:53_1_1"/>
 <a href="bilinear.html#K10" title="BILINEAR:func.10">FunctionalSAF</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>,<font color="Maroon" title="c6">y</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c6">y</font></span>)</span> <a href="hahnban1.html#K6" title="HAHNBAN1:func.6">*</a> <font color="Maroon" title="c4">f</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="bilinear.html#T26" target="_self" title="BILINEAR:th.26">Th26</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:53_1_1"/>
 <a href="bilinear.html#K10" title="BILINEAR:func.10">FunctionalSAF</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>,<font color="Maroon" title="c6">y</font> is  <a href="grcat_1.html#V1" title="GRCAT_1:attr.1">additive</a> 
 ; <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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