<?xml version="1.0"?>
<div class="add">

<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">add-associative</a> <a href="rlvect_1.html#V5">right_zeroed</a> <a href="rlvect_1.html#V6">right_complementable</a> <a href="algstr_1.html#V1">left_zeroed</a>  <a href="rlvect_1.html#L1">LoopStr</a> ;<br/>

<a NAME="E1:21"/>
( the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">c<sub>1</sub></font> <a href="setwiseo.html#NR1" target="_self">has_a_unity</a>  &amp; the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">c<sub>1</sub></font> is <a href="binop_1.html#V2">associative</a> &amp; the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">c<sub>1</sub></font> <a href="finseqop.html#NR2" target="_self">has_an_inverseOp</a>  &amp;  <a href="vectsp_1.html#K7">comp</a> <font color="Maroon">c<sub>1</sub></font> <a href="finseqop.html#R1">is_an_inverseOp_wrt</a> the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">c<sub>1</sub></font> )
 
<b>by </b><i><a class="ref" href="fvsum_1.html#T10" target="_self">Th10</a>, <a class="ref" href="fvsum_1.html#T16" target="_self">Th16</a>, <a class="ref" href="fvsum_1.html#T17" target="_self">Th17</a></i>;<br/>
<b>hence </b><a NAME="E2:21"/>
 <a href="finseqop.html#K6">the_inverseOp_wrt</a> the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">c<sub>1</sub></font> <a href="funct_2.html#R2">=</a>  <a href="vectsp_1.html#K7">comp</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="ref" href="finseqop.html#D3">FINSEQOP:def 3</a></i>;<br/>


</div>
