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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">Th3</font></span>: <a NAME="T3"><span class="comment"><font color="firebrick">:: ALGSTR_2:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#V5" title="ALGSTR_0:attr.5">left_add-cancelable</a>   <a href="algstr_1.html#V3" title="ALGSTR_1:attr.3">add-right-invertible</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> <br/>  for <font color="Olive" title="b2">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">G</font> holds   <a href="algstr_2.html#K1" title="ALGSTR_2:func.1">-</a> <span class="p1">(<span class="default"><a href="algstr_2.html#K1" title="ALGSTR_2:func.1">-</a> <font color="Olive" title="b2">a</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">a</font></div></div>
