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<a NAME="E1:51_1_1"/>
( <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon">R</font>) is <a href="rlvect_1.html#V3">Abelian</a> &amp; <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon">R</font>) is <a href="rlvect_1.html#V4">add-associative</a> &amp; <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon">R</font>) is <a href="rlvect_1.html#V5">right_zeroed</a> &amp; <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon">R</font>) is <a href="rlvect_1.html#V6">right_complementable</a> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:51_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being non <a href="struct_0.html#V3">empty</a>  <a href="vectsp_1.html#L4">VectSpStr</a> of <font color="Maroon">R</font> st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V3">Abelian</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V4">add-associative</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V5">right_zeroed</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V6">right_complementable</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="vectsp_1.html#V11">strict</a> )
 ;<br/>


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