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<a NAME="E1:47_1_1"/>
( <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c1">R</font>) is <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a> &amp; <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c1">R</font>) is <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a> &amp; <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c1">R</font>) is <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a> &amp; <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c1">R</font>) is <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a> )
 
<b>by </b><i><a class="txt" href="vectsp_2.html#E71"><i><font color="Green" title="E19">Lm5</font></i></a></i>;<br/>
<b>hence </b><a NAME="E2:47_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="vectsp_1.html#L1" title="VECTSP_1:struct.1">VectSpStr</a> of <font color="Maroon" title="c1">R</font> st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="vectsp_1.html#V7" title="VECTSP_1:attr.7">strict</a> )
 ;<br/>


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