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<span class="kw">set </span><font color="Maroon" title="c1">R</font> =  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a>;<br/>
<span class="kw">take </span>
 the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</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"> (  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="algstr_1.html#V1" title="ALGSTR_1:attr.1">left_zeroed</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="group_1.html#V3" title="GROUP_1:attr.3">associative</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="algstr_0.html#V7" title="ALGSTR_0:attr.7">add-cancelable</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="vectsp_1.html#V5" title="VECTSP_1:attr.5">distributive</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="group_1.html#V1" title="GROUP_1:attr.1">unital</a>  )</span><br/>

<span class="kw">thus </span><a NAME="E1:3_1_1"/>
(  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="algstr_1.html#V1" title="ALGSTR_1:attr.1">left_zeroed</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="group_1.html#V3" title="GROUP_1:attr.3">associative</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="algstr_0.html#V7" title="ALGSTR_0:attr.7">add-cancelable</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="vectsp_1.html#V5" title="VECTSP_1:attr.5">distributive</a>  &amp;  the   <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a> is  <a href="group_1.html#V1" title="GROUP_1:attr.1">unital</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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