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<b>let </b><font color="Maroon">M</font> be    <a href="rmod_4.html#M1" target="_self">Linear_Combination</a> of <font color="Maroon">V</font>, <font color="Maroon">N</font> be    <a href="rmod_4.html#M1" target="_self">Linear_Combination</a> of <font color="Maroon">V</font>;<br/>

<b>assume </b><a NAME="E1:45_1_2"/><i><font color="Green">E49</font></i>: 
for <font color="Olive">v</font> being  <a href="vectsp_2.html#NM5">Vector</a> of <font color="Maroon">V</font> holds  <font color="Maroon">M</font> <a href="funct_2.html#K3">.</a> <font color="Olive">v</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">L1</font> <a href="funct_2.html#K3">.</a> <font color="Olive">v</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">L2</font> <a href="funct_2.html#K3">.</a> <font color="Olive">v</font></span>)</span>
 ;<br/>

<b>assume </b><a NAME="E2:45_1_2"/><i><font color="Green">E50</font></i>: 
for <font color="Olive">v</font> being  <a href="vectsp_2.html#NM5">Vector</a> of <font color="Maroon">V</font> holds  <font color="Maroon">N</font> <a href="funct_2.html#K3">.</a> <font color="Olive">v</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">L1</font> <a href="funct_2.html#K3">.</a> <font color="Olive">v</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">L2</font> <a href="funct_2.html#K3">.</a> <font color="Olive">v</font></span>)</span>
 ;<br/>

<b>let </b><font color="Maroon">v</font> be   <a href="vectsp_2.html#NM5">Vector</a> of <font color="Maroon">V</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="rmod_4.html#D10" target="_self">RMOD_4:def 10</a><br/>

<b>thus </b><font color="Maroon">M</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font> = 
<span class="p1">(<span class="default"><font color="Maroon">L1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">L2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">N</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">v</font>
<b>by </b><i/>
;<br/>


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