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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E32">Th37</font></span>: <a NAME="T27"><span class="comment"><font color="firebrick">:: TOPZARI1:27</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">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">A</font> holds   <a href="topzari1.html#K9" title="TOPZARI1:func.9">PrimeIdeals</a> (<font color="Olive" title="b1">A</font>,<span class="p1">(<span class="default"><a href="ideal_1.html#K17" title="IDEAL_1:func.17">sqrt</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">S</font> <a href="ideal_1.html#K7" title="IDEAL_1:func.7">-Ideal</a></span>)</span></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="topzari1.html#K9" title="TOPZARI1:func.9">PrimeIdeals</a> (<font color="Olive" title="b1">A</font>,<span class="p1">(<span class="default"><font color="Olive" title="b2">S</font> <a href="ideal_1.html#K7" title="IDEAL_1:func.7">-Ideal</a></span>)</span>)</div></div>
