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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">v1</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font>, <font color="Maroon">v2</font> be   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">w1</font> be   <a href="vectsp_2.html#NM5">Vector</a> of <font color="Maroon">W</font>, <font color="Maroon">w2</font> be   <a href="vectsp_2.html#NM5">Vector</a> of <font color="Maroon">W</font>;<br/>









<b>assume </b><a NAME="E1:32"/><i><font color="Green">E26</font></i>: 
( <font color="Maroon">L</font> <a href="hidden.html#R1">=</a>  <a href="mod_4.html#K2" target="_self">opp</a> <font color="Maroon">K</font> &amp; <font color="Maroon">W</font> <a href="hidden.html#R1">=</a>  <a href="mod_4.html#K3" target="_self">opp</a> <font color="Maroon">V</font> &amp; <font color="Maroon">v1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">w1</font> &amp; <font color="Maroon">v2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">w2</font> )
 ;<br/>

<a NAME="E2:32"/>
 <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> <font color="Maroon">V</font></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> <font color="Maroon">V</font></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> <font color="Maroon">V</font></span>)</span> #) <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#G1">LoopStr</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> #)
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:32"/>
<font color="Maroon">w1</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">w2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">v1</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">v2</font>
 <b>by </b><i><a class="ref" href="mod_4.html#T1" target="_self">Th1</a></i>;<br/>


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