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<span class="kw">let </span><font color="Maroon" title="c1">E</font> be   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>   <a href="algstr_0.html#L2" title="ALGSTR_0:struct.2">addLoopStr</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">  for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">E</font> holds  <font color="Olive" title="b1">A</font> <a href="mathmorp.html#NK4" title="MATHMORP:NK.4">(+)</a> <font color="Olive" title="b2">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">B</font> <a href="mathmorp.html#NK4" title="MATHMORP:NK.4">(+)</a> <font color="Olive" title="b1">A</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">A</font>, <font color="Maroon" title="c3">B</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">E</font>; <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"> <font color="Maroon" title="c2">A</font> <a href="mathmorp.html#NK4" title="MATHMORP:NK.4">(+)</a> <font color="Maroon" title="c3">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">B</font> <a href="mathmorp.html#NK4" title="MATHMORP:NK.4">(+)</a> <font color="Maroon" title="c2">A</font></span><br/>



<span class="kw">thus </span><font color="Maroon" title="c2">A</font> <a href="mathmorp.html#NK4" title="MATHMORP:NK.4">(+)</a> <font color="Maroon" title="c3">B</font> = 
<font color="Maroon" title="c3">B</font> <a href="rusub_4.html#K7" title="RUSUB_4:func.7">+</a> <font color="Maroon" title="c2">A</font>

<br/>.= 
<font color="Maroon" title="c3">B</font> <a href="mathmorp.html#NK4" title="MATHMORP:NK.4">(+)</a> <font color="Maroon" title="c2">A</font>

; <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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