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<span class="kw">let </span><font color="Maroon" title="c5">v</font>, <font color="Maroon" title="c6">w</font> be   <a href="vectsp_1.html#NM8" title="VECTSP_1:NM.8">Vector</a> of <font color="Maroon" title="c2">V</font>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="bilinear.html#D25" target="_self" onmouseover="rs('bilinear/D25')" onmouseout="rh()">BILINEAR:def 25</a> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><font color="Maroon" title="c4">a</font> <a href="bilinear.html#K3" title="BILINEAR:func.3">*</a> <font color="Maroon" title="c3">f</font></span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c5">v</font>,<font color="Maroon" title="c6">w</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">a</font> <a href="bilinear.html#K3" title="BILINEAR:func.3">*</a> <font color="Maroon" title="c3">f</font></span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Maroon" title="c6">w</font>,<font color="Maroon" title="c5">v</font>)</span><br/>

<span class="kw">thus </span><span class="p1">(<span class="default"><font color="Maroon" title="c4">a</font> <a href="bilinear.html#K3" title="BILINEAR:func.3">*</a> <font color="Maroon" title="c3">f</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> (<font color="Maroon" title="c5">v</font>,<font color="Maroon" title="c6">w</font>) = 
<font color="Maroon" title="c4">a</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> (<font color="Maroon" title="c5">v</font>,<font color="Maroon" title="c6">w</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="bilinear.html#D3" target="_self" onmouseover="rs('bilinear/D3')" onmouseout="rh()">Def3</a></span>
<br/>.= 
<font color="Maroon" title="c4">a</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">f</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> (<font color="Maroon" title="c6">w</font>,<font color="Maroon" title="c5">v</font>)</span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="bilinear.html#D25" target="_self" onmouseover="rs('bilinear/D25')" onmouseout="rh()">Def25</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c4">a</font> <a href="bilinear.html#K3" title="BILINEAR:func.3">*</a> <font color="Maroon" title="c3">f</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> (<font color="Maroon" title="c6">w</font>,<font color="Maroon" title="c5">v</font>)
<span class="kw">by</span> <span class="lab"><a class="ref" href="bilinear.html#D3" target="_self" onmouseover="rs('bilinear/D3')" onmouseout="rh()">Def3</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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