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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E31">Th31</font></span>: <a NAME="T31"><span class="comment"><font color="firebrick">:: ABCMIZ_1:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">l</font> being   <a href="abcmiz_1.html#NM4" title="ABCMIZ_1:NM.4">quasi-loci</a><br/>  for <font color="Olive" title="b2">x</font> being   <a href="abcmiz_1.html#NM3" title="ABCMIZ_1:NM.3">variable</a> holds <br/> ( <font color="Olive" title="b1">l</font> <a href="finseq_1.html#K8" title="FINSEQ_1:func.8">^</a> <span class="p1"><a href="pre_poly.html#K3" title="PRE_POLY:func.3">&lt;*</a><span class="default"><font color="Olive" title="b2">x</font></span><a href="pre_poly.html#K3" title="PRE_POLY:func.3">*&gt;</a></span> is   <a href="abcmiz_1.html#NM4" title="ABCMIZ_1:NM.4">quasi-loci</a> iff (  not <font color="Olive" title="b2">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b1">l</font> &amp;  <a href="abcmiz_1.html#K3" title="ABCMIZ_1:func.3">vars</a> <font color="Olive" title="b2">x</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b1">l</font> ) )</div></div>
