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<span class="kw">set </span><font color="Maroon" title="c1">F</font> =  the   <a href="algstr_0.html#V36" title="ALGSTR_0:attr.36">strict</a>  <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a>;<br/>
<a NAME="E1:1_1_1"/>
(  the   <a href="algstr_0.html#V36" title="ALGSTR_0:attr.36">strict</a>  <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a> is  <a href="group_1.html#V1" title="GROUP_1:attr.1">unital</a>  &amp;  the   <a href="algstr_0.html#V36" title="ALGSTR_0:attr.36">strict</a>  <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a> is  <a href="vectsp_1.html#V5" title="VECTSP_1:attr.5">distributive</a>  )
 
;<br/>
<span class="kw">hence </span><a NAME="E2:1_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="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a>  st <br/>( <font color="Olive">b<sub>1</sub></font> is  <a href="algstr_0.html#V36" title="ALGSTR_0:attr.36">strict</a>  &amp; <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="group_1.html#V1" title="GROUP_1:attr.1">unital</a>  &amp; <font color="Olive">b<sub>1</sub></font> is  <a href="vectsp_1.html#V5" title="VECTSP_1:attr.5">distributive</a>  )
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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