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<b>let </b><font color="Maroon">K</font> be   <a href="vectsp_1.html#NM2">Field</a>;<br/><b>let </b><font color="Maroon">V3</font> be  <a href="matrlin.html#V2" target="_self">finite-dimensional</a> <a href="vectsp_1.html#NM6">VectSp</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">V2</font> be  <a href="matrlin.html#V2" target="_self">finite-dimensional</a> <a href="vectsp_1.html#NM6">VectSp</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">g</font> be   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">V2</font>,<font color="Maroon">V3</font>;<br/><b>let </b><font color="Maroon">b2</font> be    <a href="matrlin.html#M1" target="_self">OrdBasis</a> of <font color="Maroon">V2</font>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM7">FinSequence</a> of <font color="Maroon">K</font>;<br/>











<b>assume </b><b>that </b><br/><a NAME="E1:32"/><i><font color="Green">E43</font></i>: 
 <a href="finseq_1.html#K3">len</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a>  <a href="finseq_1.html#K3">len</a> <font color="Maroon">b2</font>
 <b>and </b><br/><a NAME="E2:32"/><i><font color="Green">E44</font></i>: 
<font color="Maroon">g</font> is <a href="mod_2.html#V1">linear</a>
 ;<br/>

<b>thus </b><font color="Maroon">g</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K9">Sum</a> <span class="p2">(<span class="default"><a href="matrlin.html#K7" target="_self">lmlt</a> <font color="Maroon">a</font>,<font color="Maroon">b2</font></span>)</span></span>)</span> = 
 <a href="rlvect_1.html#K9">Sum</a> <span class="p1">(<span class="default"><font color="Maroon">g</font> <a href="finseqop.html#K5">*</a> <span class="p2">(<span class="default"><a href="matrlin.html#K7" target="_self">lmlt</a> <font color="Maroon">a</font>,<font color="Maroon">b2</font></span>)</span></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
 <a href="rlvect_1.html#K9">Sum</a> <span class="p1">(<span class="default"><a href="matrlin.html#K7" target="_self">lmlt</a> <font color="Maroon">a</font>,<span class="p2">(<span class="default"><font color="Maroon">g</font> <a href="finseqop.html#K5">*</a> <font color="Maroon">b2</font></span>)</span></span>)</span>
<b>by </b><i>, , </i>
;<br/>


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