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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E57">Th95</font></span>: <a NAME="T95"><span class="comment"><font color="firebrick">:: IDEAL_1:95</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#L6" title="ALGSTR_0:struct.6">doubleLoopStr</a>   st <font color="Olive" title="b1">L</font> is  <a href="ideal_1.html#V8" title="IDEAL_1:attr.8">PID</a>  holds <br/><font color="Olive" title="b1">L</font> is  <a href="ideal_1.html#V6" title="IDEAL_1:attr.6">Noetherian</a> </div></div>
