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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">Th17</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: TOPZARI1:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">J</font> being   <a href="subset_1.html#V1" title="SUBSET_1:attr.1">proper</a>  <a href="ideal_1.html#NM1" title="IDEAL_1:NM.1">Ideal</a> of <font color="Olive" title="b1">A</font>  st (  for <font color="Olive" title="b3">x</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Olive" title="b1">A</font></span>)</span> <a href="subset_1.html#K7" title="SUBSET_1:func.7">\</a> <font color="Olive" title="b2">J</font> holds <br/><font color="Olive" title="b3">x</font> is   <a href="ring_2.html#NM3" title="RING_2:NM.3">Unit</a> of <font color="Olive" title="b1">A</font> ) holds <br/><font color="Olive" title="b1">A</font> is  <a href="topzari1.html#V2" title="TOPZARI1:attr.2">local</a> </div></div>
