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

<b>let </b><font color="Maroon" title="c1">K</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">Abelian</a> <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">add-associative</a> <a href="rlvect_1.html#V5" title="RLVECT_1:attr.5">right_zeroed</a> <a href="rlvect_1.html#V6" title="RLVECT_1:attr.6">right_complementable</a>  <a href="rlvect_1.html#L1" title="RLVECT_1:struct.1">LoopStr</a> ;<br/>

<a NAME="E1:22"/>
( the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">add</a> of <font color="Maroon" title="c1">K</font> <a href="setwiseo.html#NR1" title="SETWISEO:NR.1">has_a_unity</a>  &amp; the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">add</a> of <font color="Maroon" title="c1">K</font> is <a href="binop_1.html#V2" title="BINOP_1:attr.2">associative</a> &amp; the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">add</a> of <font color="Maroon" title="c1">K</font> is <a href="binop_1.html#V1" title="BINOP_1:attr.1">commutative</a> &amp; the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">add</a> of <font color="Maroon" title="c1">K</font> <a href="finseqop.html#NR2" title="FINSEQOP:NR.2">has_an_inverseOp</a>  )
 
<b>by </b><i><a class="ref" href="fvsum_1.html#T10" target="_self" title="FVSUM_1:th.10">Th10</a>, <a class="ref" href="fvsum_1.html#T17" target="_self" title="FVSUM_1:th.17">Th17</a></i>;<br/>
<a NAME="E2:22"/><b>then </b>
 <a href="finseqop.html#K6" title="FINSEQOP:func.6">the_inverseOp_wrt</a> the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">add</a> of <font color="Maroon" title="c1">K</font> <a href="binop_1.html#R7" title="BINOP_1:pred.7">is_distributive_wrt</a> the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">add</a> of <font color="Maroon" title="c1">K</font>
 
<b>by </b><i><a class="ref" href="finseqop.html#T67" title="FINSEQOP:th.67">FINSEQOP:67</a></i>;<br/>
<b>hence </b><a NAME="E3:22"/>
 <a href="vectsp_1.html#K6" title="VECTSP_1:func.6">comp</a> <font color="Maroon" title="c1">K</font> <a href="binop_1.html#R7" title="BINOP_1:pred.7">is_distributive_wrt</a> the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">add</a> of <font color="Maroon" title="c1">K</font>
 <b>by </b><i><a class="ref" href="fvsum_1.html#T18" target="_self" title="FVSUM_1:th.18">Th18</a></i>;<br/>


</div>
