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<b>let </b><font color="Maroon">K</font> be   <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">r</font> be   <a href="vectsp_1.html#NM3">Scalar</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">V</font> be   <a href="vectsp_2.html#NM6">LeftMod</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">b</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">W</font> be    <a href="vectsp_4.html#M1">Subspace</a> of <font color="Maroon">V</font>;<br/>











<b>thus </b><span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="lmod_7.html#K18" target="_self">/</a> <font color="Maroon">W</font></span>)</span> <a href="rlvect_1.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="lmod_7.html#K18" target="_self">/</a> <font color="Maroon">W</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="lmod_7.html#K14" target="_self">.</a> <font color="Maroon">W</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="lmod_7.html#K14" target="_self">.</a> <font color="Maroon">W</font></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">b</font></span>)</span> <a href="lmod_7.html#K18" target="_self">/</a> <font color="Maroon">W</font>
<b>by </b><i/>
;<br/>

<b>thus </b><font color="Maroon">r</font> <a href="vectsp_1.html#K6">*</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="lmod_7.html#K18" target="_self">/</a> <font color="Maroon">W</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="lmod_7.html#K16" target="_self">LMULT</a> <font color="Maroon">W</font></span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">r</font>,<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="lmod_7.html#K14" target="_self">.</a> <font color="Maroon">W</font></span>)</span>
<b>by </b><i><a class="ref" href="vectsp_1.html#D24">VECTSP_1:def 24</a></i>
<br/>.= 
<font color="Maroon">r</font> <a href="lmod_7.html#K15" target="_self">*</a> <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="lmod_7.html#K14" target="_self">.</a> <font color="Maroon">W</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">a</font></span>)</span> <a href="lmod_7.html#K18" target="_self">/</a> <font color="Maroon">W</font>
<b>by </b><i/>
;<br/>


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