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<a NAME="E1:54_1_1"/>
( <font color="Maroon">H<sub>3</sub></font>(<font color="Maroon" title="c1">R1</font>,<font color="Maroon" title="c2">R2</font>) is <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a> &amp; <font color="Maroon">H<sub>3</sub></font>(<font color="Maroon" title="c1">R1</font>,<font color="Maroon" title="c2">R2</font>) is <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a> &amp; <font color="Maroon">H<sub>3</sub></font>(<font color="Maroon" title="c1">R1</font>,<font color="Maroon" title="c2">R2</font>) is <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a> &amp; <font color="Maroon">H<sub>3</sub></font>(<font color="Maroon" title="c1">R1</font>,<font color="Maroon" title="c2">R2</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#E79"><i><font color="Green" title="E21">Lm7</font></i></a></i>;<br/>
<b>hence </b><a NAME="E2:54_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_2.html#L2" title="VECTSP_2:struct.2">BiModStr</a> of <font color="Maroon" title="c1">R1</font>,<font color="Maroon" title="c2">R2</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_2.html#V3" title="VECTSP_2:attr.3">strict</a> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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