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<a NAME="E1:59_1_1"/>
( <font color="Maroon">H<sub>3</sub></font>(<font color="Maroon">R1</font>,<font color="Maroon">R2</font>) is <a href="rlvect_1.html#V3">Abelian</a> &amp; <font color="Maroon">H<sub>3</sub></font>(<font color="Maroon">R1</font>,<font color="Maroon">R2</font>) is <a href="rlvect_1.html#V4">add-associative</a> &amp; <font color="Maroon">H<sub>3</sub></font>(<font color="Maroon">R1</font>,<font color="Maroon">R2</font>) is <a href="rlvect_1.html#V5">right_zeroed</a> &amp; <font color="Maroon">H<sub>3</sub></font>(<font color="Maroon">R1</font>,<font color="Maroon">R2</font>) is <a href="rlvect_1.html#V6">right_complementable</a> )
 
<b>by </b><i><a class="txt" href="vectsp_2.html#E4"><i><font color="Green">Lemma23</font></i></a></i>;<br/>
<b>hence </b><a NAME="E2:59_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being non <a href="struct_0.html#V3">empty</a>  <a href="vectsp_2.html#L2" target="_self">BiModStr</a> of <font color="Maroon">R1</font>,<font color="Maroon">R2</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_2.html#V4" target="_self">strict</a> )
 ;<br/>


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