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<div><span class="kw">theorem </span><a NAME="T89"><span class="comment"><font color="firebrick">:: IDEAL_1:89</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#L4" title="ALGSTR_0:struct.4">multLoopStr</a> <br/>  for <font color="Olive" title="b2">I</font>, <font color="Olive" title="b3">J</font>, <font color="Olive" title="b4">K</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">R</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b3">J</font> <a href="ideal_1.html#K13" title="IDEAL_1:func.13">/\</a> <font color="Olive" title="b4">K</font></span>)</span> <a href="ideal_1.html#K16" title="IDEAL_1:func.16">%</a> <font color="Olive" title="b2">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">J</font> <a href="ideal_1.html#K16" title="IDEAL_1:func.16">%</a> <font color="Olive" title="b2">I</font></span>)</span> <a href="ideal_1.html#K13" title="IDEAL_1:func.13">/\</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">K</font> <a href="ideal_1.html#K16" title="IDEAL_1:func.16">%</a> <font color="Olive" title="b2">I</font></span>)</span></div></div>
