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<b>let </b><font color="Maroon">K</font> be  non <a href="struct_0.html#V3">empty</a> <a href="vectsp_1.html#V3">strict</a>  <a href="vectsp_1.html#L3">doubleLoopStr</a> ;<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">K</font>;<br/>



<b>set </b><font color="Maroon">V</font> =  <a href="mod_4.html#K5" target="_self">opp</a> <font color="Maroon">W</font>;<br/>
<i><font color="Green">E26</font></i>:  <a href="rlvect_1.html#G1">LoopStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="mod_4.html#K3" target="_self">opp</a> <span class="p2">(<span class="default"><a href="mod_4.html#K5" target="_self">opp</a> <font color="Maroon">W</font></span>)</span></span>)</span>,the <a href="rlvect_1.html#U1">add</a> of <span class="p1">(<span class="default"><a href="mod_4.html#K3" target="_self">opp</a> <span class="p2">(<span class="default"><a href="mod_4.html#K5" target="_self">opp</a> <font color="Maroon">W</font></span>)</span></span>)</span>,the <a href="struct_0.html#U2">Zero</a> of <span class="p1">(<span class="default"><a href="mod_4.html#K3" target="_self">opp</a> <span class="p2">(<span class="default"><a href="mod_4.html#K5" target="_self">opp</a> <font color="Maroon">W</font></span>)</span></span>)</span> #) = 
 <a href="rlvect_1.html#G1">LoopStr</a>(# the <a href="struct_0.html#U1">carrier</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>,the <a href="rlvect_1.html#U1">add</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>,the <a href="struct_0.html#U2">Zero</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/>.= 
 <a href="rlvect_1.html#G1">LoopStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">W</font>,the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">W</font>,the <a href="struct_0.html#U2">Zero</a> of <font color="Maroon">W</font> #)
<b>by </b><i/>
;<br/>
<i><font color="Green">E41</font></i>:  <a href="mod_4.html#K4" target="_self">opp</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> = 
 <a href="mod_4.html#K4" target="_self">opp</a> <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>
<b>by </b><i/>
<br/>.= 
the <a href="vectsp_2.html#U1">rmult</a> of <font color="Maroon">W</font>
<b>by </b><i><a class="ref" href="mod_4.html#T1" target="_self">Th1</a></i>
;<br/>
<a NAME="E3:36"/>
 <a href="mod_4.html#K2" target="_self">opp</a> <span class="p1">(<span class="default"><a href="mod_4.html#K2" target="_self">opp</a> <font color="Maroon">K</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">K</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:36"/>
 <a href="mod_4.html#K3" target="_self">opp</a> <span class="p1">(<span class="default"><a href="mod_4.html#K5" target="_self">opp</a> <font color="Maroon">W</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="vectsp_2.html#G1">RightModStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">W</font>,the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">W</font>,the <a href="struct_0.html#U2">Zero</a> of <font color="Maroon">W</font>,the <a href="vectsp_2.html#U1">rmult</a> of <font color="Maroon">W</font> #)
 <b>by </b><i>, <a class="txt" href="mod_4.html#E3"><i><font color="Green">Lemma28</font></i></a>, </i>;<br/>


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