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<b>consider </b><font color="Maroon" title="c1">F</font> being  <a href="vectsp_1.html#V3" title="VECTSP_1:attr.3">strict</a> <a href="vectsp_1.html#NM2" title="VECTSP_1:NM.2">Field</a>;<br/>
<a NAME="E2:5_1_1"/>
( <font color="Maroon" title="c1">F</font> is <a href="group_1.html#V2" title="GROUP_1:attr.2">unital</a> &amp; <font color="Maroon" title="c1">F</font> is <a href="vectsp_1.html#V7" title="VECTSP_1:attr.7">distributive</a> )
 
;<br/>
<b>hence </b><a NAME="E3:5_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a>  <a href="vectsp_1.html#L3" title="VECTSP_1:struct.3">doubleLoopStr</a>  st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="vectsp_1.html#V3" title="VECTSP_1:attr.3">strict</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">Abelian</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">add-associative</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V5" title="RLVECT_1:attr.5">right_zeroed</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="rlvect_1.html#V6" title="RLVECT_1:attr.6">right_complementable</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="group_1.html#V2" title="GROUP_1:attr.2">unital</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="vectsp_1.html#V7" title="VECTSP_1:attr.7">distributive</a> )
 ;<br/>


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