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<div><span class="kw">theorem </span><a NAME="T9"><span class="comment"><font color="firebrick">:: ALGSTR_2:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="vectsp_1.html#V2" title="VECTSP_1:attr.2">left-distributive</a>  <a href="algstr_2.html#NM1" title="ALGSTR_2:NM.1">doubleLoop</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">G</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b3">x</font> <a href="algstr_2.html#K2" title="ALGSTR_2:func.2">-</a> <font color="Olive" title="b4">y</font></span>)</span> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Olive" title="b2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">x</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Olive" title="b2">a</font></span>)</span> <a href="algstr_2.html#K2" title="ALGSTR_2:func.2">-</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">y</font> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <font color="Olive" title="b2">a</font></span>)</span></div></div>
