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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="struct_0.html#V3">empty</a> <a href="rlvect_1.html#V4" target="_self">add-associative</a> <a href="rlvect_1.html#V5" target="_self">right_zeroed</a> <a href="rlvect_1.html#V6" target="_self">right_complementable</a>  <a href="rlvect_1.html#L1" target="_self">LoopStr</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>consider </b><font color="Maroon">c<sub>4</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E2:37"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="rlvect_1.html#K2" target="_self">+</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="rlvect_1.html#E23"><i><font color="Green">Lemma11</font></i></a></i>;<br/>
<b>take </b><font color="Maroon">c<sub>5</sub></font> =  <a href="rlvect_1.html#K5" target="_self">-</a> <font color="Maroon">c<sub>4</sub></font>;<br/>

<b>thus </b><a NAME="E3:37"/>
<font color="Maroon">c<sub>3</sub></font> <a href="rlvect_1.html#K6" target="_self">-</a> <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="rlvect_1.html#E2:37"><i><font color="Green">E25</font></i></a>, <a class="ref" href="rlvect_1.html#T30" target="_self">Th30</a></i>;<br/>


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