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<b>let </b><font color="Maroon">K</font> be  non <a href="struct_0.html#V3">empty</a> <a href="rlvect_1.html#V3">Abelian</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="rlvect_1.html#L1">LoopStr</a> ;<br/>

<a NAME="E1:22"/>
( the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">K</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">K</font> is <a href="binop_1.html#V2">associative</a> &amp; the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">K</font> is <a href="binop_1.html#V1">commutative</a> &amp; the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">K</font> <a href="finseqop.html#NR2" target="_self">has_an_inverseOp</a>  )
 
<b>by </b><i>, </i>;<br/>
<a NAME="E2:22"/><b>then </b>
 <a href="finseqop.html#K6">the_inverseOp_wrt</a> the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">K</font> <a href="binop_1.html#R7">is_distributive_wrt</a> the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">K</font>
 
<b>by </b><i><a class="ref" href="finseqop.html#T67">FINSEQOP:67</a></i>;<br/>
<b>hence </b><a NAME="E3:22"/>
 <a href="vectsp_1.html#K7">comp</a> <font color="Maroon">K</font> <a href="binop_1.html#R7">is_distributive_wrt</a> the <a href="rlvect_1.html#U1">add</a> of <font color="Maroon">K</font>
 <b>by </b><i/>;<br/>


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