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<b>let </b><font color="Maroon">K</font> be   <a href="funcsdom.html#NM1">Ring</a>, <font color="Maroon">L</font> be   <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">V</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="vectsp_1.html#L4">VectSpStr</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">W</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="vectsp_2.html#L1">RightModStr</a> of <font color="Maroon">L</font>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="vectsp_1.html#NM3">Scalar</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">y</font> be   <a href="vectsp_1.html#NM3">Scalar</a> of <font color="Maroon">L</font>;<br/><b>let </b><font color="Maroon">v</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_2.html#NM5">Vector</a> of <font color="Maroon">W</font>;<br/>













<b>assume </b><a NAME="E1:33"/><i><font color="Green">E26</font></i>: 
( <font color="Maroon">K</font> <a href="hidden.html#R1">=</a>  <a href="mod_4.html#K2" target="_self">opp</a> <font color="Maroon">L</font> &amp; <font color="Maroon">V</font> <a href="hidden.html#R1">=</a>  <a href="mod_4.html#K5" target="_self">opp</a> <font color="Maroon">W</font> &amp; <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">y</font> &amp; <font color="Maroon">v</font> <a href="hidden.html#R1">=</a> <font color="Maroon">w</font> )
 ;<br/>

<b>set </b><font color="Maroon">o</font> = the <a href="vectsp_2.html#U1">rmult</a> of <font color="Maroon">W</font>;<br/>
<a NAME="E2:33"/><i><font color="Green">E41</font></i>: 
 <a href="mod_4.html#K6" target="_self">opp</a> the <a href="vectsp_2.html#U1">rmult</a> of <font color="Maroon">W</font> <a href="funct_2.html#R2">=</a> the <a href="vectsp_1.html#U2">lmult</a> of <span class="p1">(<span class="default"><a href="mod_4.html#K5" target="_self">opp</a> <font color="Maroon">W</font></span>)</span>
 
<b>by </b><i/>;<br/>
<b>thus </b><font color="Maroon">w</font> <a href="vectsp_2.html#K6">*</a> <font color="Maroon">y</font> = 
the <a href="vectsp_2.html#U1">rmult</a> of <font color="Maroon">W</font> <a href="binop_1.html#K2">.</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>
<b>by </b><i><a class="ref" href="vectsp_2.html#D15">VECTSP_2:def 15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="mod_4.html#K6" target="_self">opp</a> the <a href="vectsp_2.html#U1">rmult</a> of <font color="Maroon">W</font></span>)</span> <a href="binop_1.html#K1">.</a> <font color="Maroon">x</font>,<font color="Maroon">v</font>
<b>by </b><i><a class="txt" href="mod_4.html#E1:33"><i><font color="Green">E26</font></i></a>, </i>
<br/>.= 
<font color="Maroon">x</font> <a href="vectsp_1.html#K6">*</a> <font color="Maroon">v</font>
<b>by </b><i><a class="txt" href="mod_4.html#E1:33"><i><font color="Green">E26</font></i></a>, , <a class="ref" href="vectsp_1.html#D24">VECTSP_1:def 24</a></i>
;<br/>


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