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<b>consider </b><font color="Maroon" title="c1">R</font> being  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> non <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a> <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a> <a href="algstr_0.html#V33" title="ALGSTR_0:attr.33">almost_left_invertible</a> <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a> <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a> <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a> <a href="group_1.html#V3" title="GROUP_1:attr.3">associative</a> <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a> <a href="vectsp_1.html#V5" title="VECTSP_1:attr.5">distributive</a> <a href="vectsp_1.html#V6" title="VECTSP_1:attr.6">left_unital</a>  <a href="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a> ;<br/>
<b>take </b>
<font color="Maroon" title="c1">R</font>
;<br/>

<b>thus </b><a NAME="E2:70_1_1"/>
( <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" title="c1">R</font> is <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a> &amp; <font color="Maroon" title="c1">R</font> is <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a> &amp; <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" title="c1">R</font> is <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a> &amp; <font color="Maroon" title="c1">R</font> is <a href="group_1.html#V3" title="GROUP_1:attr.3">associative</a> &amp; <font color="Maroon" title="c1">R</font> is <a href="vectsp_1.html#V6" title="VECTSP_1:attr.6">left_unital</a> &amp; <font color="Maroon" title="c1">R</font> is <a href="vectsp_1.html#V5" title="VECTSP_1:attr.5">distributive</a> &amp; <font color="Maroon" title="c1">R</font> is <a href="algstr_0.html#V33" title="ALGSTR_0:attr.33">almost_left_invertible</a> &amp; not <font color="Maroon" title="c1">R</font> is <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a> )
 ;<br/>


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