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<div><span class="kw">theorem </span><a NAME="T11"><span class="comment"><font color="firebrick">:: AIMLOOP:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Q</font> being   <a href="algstr_1.html#NM2" title="ALGSTR_1:NM.2">multLoop</a><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font>, <font color="Olive" title="b4">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">Q</font>  st  <a href="aimloop.html#K8" title="AIMLOOP:func.8">a_op</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font>,<font color="Olive" title="b4">z</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K5" title="STRUCT_0:func.5">1.</a> <font color="Olive" title="b1">Q</font> holds <br/> <a href="aimloop.html#K5" title="AIMLOOP:func.5">L_map</a> (<font color="Olive" title="b4">z</font>,<font color="Olive" title="b3">y</font>,<font color="Olive" title="b2">x</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">z</font></div></div>
