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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E39">Th44</font></span>: <a NAME="T34"><span class="comment"><font color="firebrick">:: TOPZARI1:34</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">G</font> being   <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <span class="p1">(<span class="default"><a href="topzari1.html#K5" title="TOPZARI1:func.5">Spectrum</a> <font color="Olive" title="b1">A</font></span>)</span>  st (  for <font color="Olive" title="b3">S</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b3">S</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">G</font> holds <br/> ex <font color="Olive" title="b4">E</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 <font color="Olive" title="b3">S</font> <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">E</font>) ) holds <br/> ex <font color="Olive" title="b3">F</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  <a href="setfam_1.html#K8" title="SETFAM_1:func.8">Intersect</a> <font color="Olive" title="b2">G</font> <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="b3">F</font>)</div></div>
