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<b>let </b><font color="Maroon" title="c1">K</font> be   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Field</a>;<br/><b>let </b><font color="Maroon" title="c2">V</font> be  non <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a> <a href="vectsp_1.html#NM7" title="VECTSP_1:NM.7">VectSp</a> of <font color="Maroon" title="c1">K</font>;<br/><b>let </b><font color="Maroon" title="c3">v</font>, <font color="Maroon" title="c4">w</font> be   <a href="vectsp_1.html#NM6" title="VECTSP_1:NM.6">Vector</a> of <font color="Maroon" title="c2">V</font>;<br/><b>let </b><font color="Maroon" title="c5">a</font> be   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Scalar</a> of ;<br/><b>let </b><font color="Maroon" title="c6">W</font> be    <a href="vectsp_5.html#M1" title="VECTSP_5:mode.1">Linear_Compl</a> of  <a href="vectsp_7.html#K1" title="VECTSP_7:func.1">Lin</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c3">v</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>;<br/>









<b>assume </b><b>that </b><br/><a NAME="E1:59"/><i><font color="Green" title="E32">A1</font></i>: 
<font color="Maroon" title="c3">v</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c2">V</font>
 <b>and </b><br/><a NAME="E2:59"/><i><font color="Green" title="E33">A2</font></i>: 
<font color="Maroon" title="c4">w</font> <a href="struct_0.html#R1" title="STRUCT_0:pred.1">in</a> <font color="Maroon" title="c6">W</font>
 ;<br/>

<b>set </b><font color="Maroon" title="c7">cf</font> =  <a href="vectsp10.html#K7" title="VECTSP10:func.7">coeffFunctional</a> <font color="Maroon" title="c3">v</font>,<font color="Maroon" title="c6">W</font>;<br/>
<b>thus </b><span class="p1">(<span class="default"><a href="vectsp10.html#K7" title="VECTSP10:func.7">coeffFunctional</a> <font color="Maroon" title="c3">v</font>,<font color="Maroon" title="c6">W</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">a</font> <a href="vectsp_1.html#K4" title="VECTSP_1:func.4">*</a> <font color="Maroon" title="c3">v</font></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <font color="Maroon" title="c4">w</font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="vectsp10.html#K7" title="VECTSP10:func.7">coeffFunctional</a> <font color="Maroon" title="c3">v</font>,<font color="Maroon" title="c6">W</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">a</font> <a href="vectsp_1.html#K4" title="VECTSP_1:func.4">*</a> <font color="Maroon" title="c3">v</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="vectsp10.html#K7" title="VECTSP10:func.7">coeffFunctional</a> <font color="Maroon" title="c3">v</font>,<font color="Maroon" title="c6">W</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">w</font></span>)</span>
<b>by </b><i><a class="ref" href="hahnban1.html#D11" title="HAHNBAN1:def.11">HAHNBAN1:def 11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="vectsp10.html#K7" title="VECTSP10:func.7">coeffFunctional</a> <font color="Maroon" title="c3">v</font>,<font color="Maroon" title="c6">W</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p2">(<span class="default"><font color="Maroon" title="c5">a</font> <a href="vectsp_1.html#K4" title="VECTSP_1:func.4">*</a> <font color="Maroon" title="c3">v</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">K</font></span>)</span>
<b>by </b><i><a class="txt" href="vectsp10.html#E1:59"><i><font color="Green" title="E32">A1</font></i></a>, <a class="txt" href="vectsp10.html#E2:59"><i><font color="Green" title="E33">A2</font></i></a>, <a class="ref" href="vectsp10.html#T31" target="_self" title="VECTSP10:th.31">Th31</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="vectsp10.html#K7" title="VECTSP10:func.7">coeffFunctional</a> <font color="Maroon" title="c3">v</font>,<font color="Maroon" title="c6">W</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">a</font> <a href="vectsp_1.html#K4" title="VECTSP_1:func.4">*</a> <font color="Maroon" title="c3">v</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D7" title="RLVECT_1:def.7">RLVECT_1:def 7</a></i>
<br/>.= 
<font color="Maroon" title="c5">a</font>
<b>by </b><i><a class="txt" href="vectsp10.html#E1:59"><i><font color="Green" title="E32">A1</font></i></a>, <a class="ref" href="vectsp10.html#T30" target="_self" title="VECTSP10:th.30">Th30</a></i>
;<br/>


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