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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E42">Th45</font></span>: <a NAME="T35"><span class="comment"><font color="firebrick">:: TOPZARI1:35</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">P</font>, <font color="Olive" title="b3">Q</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <span class="p1">(<span class="default"><a href="topzari1.html#K12" title="TOPZARI1:func.12">ZariskiTS</a> <font color="Olive" title="b1">A</font></span>)</span>  st <font color="Olive" title="b2">P</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">Q</font> holds <br/> ex <font color="Olive" title="b4">V</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="topzari1.html#K12" title="TOPZARI1:func.12">ZariskiTS</a> <font color="Olive" title="b1">A</font></span>)</span> st <br/>( <font color="Olive" title="b4">V</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  &amp; ( ( <font color="Olive" title="b2">P</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">V</font> &amp;  not <font color="Olive" title="b3">Q</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">V</font> ) or ( <font color="Olive" title="b3">Q</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">V</font> &amp;  not <font color="Olive" title="b2">P</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">V</font> ) ) )</div></div>
