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<b>let </b><font color="Maroon" title="c1">K</font> be   <a href="vectsp_1.html#NM2" title="VECTSP_1:NM.2">Field</a>;<br/><b>let </b><font color="Maroon" title="c2">V3</font>, <font color="Maroon" title="c3">V2</font> be  <a href="matrlin.html#V2" title="MATRLIN:attr.2">finite-dimensional</a> <a href="vectsp_1.html#NM6" title="VECTSP_1:NM.6">VectSp</a> of <font color="Maroon" title="c1">K</font>;<br/><b>let </b><font color="Maroon" title="c4">g</font> be   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Maroon" title="c3">V2</font>,<font color="Maroon" title="c2">V3</font>;<br/><b>let </b><font color="Maroon" title="c5">b2</font> be    <a href="matrlin.html#M1" title="MATRLIN:mode.1">OrdBasis</a> of <font color="Maroon" title="c3">V2</font>;<br/><b>let </b><font color="Maroon" title="c6">a</font> be   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <font color="Maroon" title="c1">K</font>;<br/>











<b>assume </b><b>that </b><br/><a NAME="E1:32"/><i><font color="Green" title="E26">A1</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c6">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c5">b2</font>
 <b>and </b><br/><a NAME="E2:32"/><i><font color="Green" title="E27">A2</font></i>: 
<font color="Maroon" title="c4">g</font> is <a href="mod_2.html#V1" title="MOD_2:attr.1">linear</a>
 ;<br/>

<b>thus </b><font color="Maroon" title="c4">g</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K9" title="RLVECT_1:func.9">Sum</a> <span class="p2">(<span class="default"><a href="matrlin.html#K7" title="MATRLIN:func.7">lmlt</a> <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c5">b2</font></span>)</span></span>)</span> = 
 <a href="rlvect_1.html#K9" title="RLVECT_1:func.9">Sum</a> <span class="p1">(<span class="default"><font color="Maroon" title="c4">g</font> <a href="finseqop.html#K5" title="FINSEQOP:func.5">*</a> <span class="p2">(<span class="default"><a href="matrlin.html#K7" title="MATRLIN:func.7">lmlt</a> <font color="Maroon" title="c6">a</font>,<font color="Maroon" title="c5">b2</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="matrlin.html#T20" target="_self" title="MATRLIN:th.20">Th20</a>, <a class="txt" href="matrlin.html#E2:32"><i><font color="Green" title="E27">A2</font></i></a></i>
<br/>.= 
 <a href="rlvect_1.html#K9" title="RLVECT_1:func.9">Sum</a> <span class="p1">(<span class="default"><a href="matrlin.html#K7" title="MATRLIN:func.7">lmlt</a> <font color="Maroon" title="c6">a</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c4">g</font> <a href="finseqop.html#K5" title="FINSEQOP:func.5">*</a> <font color="Maroon" title="c5">b2</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="matrlin.html#E1:32"><i><font color="Green" title="E26">A1</font></i></a>, <a class="txt" href="matrlin.html#E2:32"><i><font color="Green" title="E27">A2</font></i></a>, <a class="ref" href="matrlin.html#T21" target="_self" title="MATRLIN:th.21">Th21</a></i>
;<br/>


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