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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E38">Th43</font></span>: <a NAME="T33"><span class="comment"><font color="firebrick">:: TOPZARI1:33</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">E1</font>, <font color="Olive" title="b3">E2</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>  ex <font color="Olive" title="b4">E3</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> st <span class="p1">(<span class="default"><a href="topzari1.html#K9" title="TOPZARI1:func.9">PrimeIdeals</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">E1</font>)</span>)</span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1">(<span class="default"><a href="topzari1.html#K9" title="TOPZARI1:func.9">PrimeIdeals</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b3">E2</font>)</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>,<font color="Olive" title="b4">E3</font>)</div></div>
