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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">v</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <a href="vectsp_1.html#G4">VectSpStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">V</font>,the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">V</font>,the <a href="struct_0.html#U2">Zero</a> of <font color="Maroon">V</font>,the <a href="vectsp_1.html#U2">lmult</a> of <font color="Maroon">V</font> #);<br/>









<b>assume </b><a NAME="E1:3"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">v</font>
 ;<br/>

<b>thus </b><font color="Maroon">r</font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">a</font> = 
the <a href="vectsp_1.html#U2">lmult</a> of <font color="Maroon">V</font> <a href="binop_1.html#K2">.</a> <font color="Maroon">r</font>,<font color="Maroon">a</font>
<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="vectsp_1.html#K6">*</a> <font color="Maroon">v</font>
<b>by </b><i>, <a class="ref" href="vectsp_1.html#D24">VECTSP_1:def 24</a></i>
;<br/>


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