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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: WAYBEL_7:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="waybel_0.html#NM8" title="WAYBEL_0:NM.8">LATTICE</a><br/>  for <font color="Olive" title="b2">I</font> being   <a href="waybel_0.html#NM3" title="WAYBEL_0:NM.3">Ideal</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive" title="b2">I</font> is  <a href="waybel_7.html#V1" title="WAYBEL_7:attr.1">prime</a>  iff <font color="Olive" title="b2">I</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="waybel_6.html#K3" title="WAYBEL_6:func.3">PRIME</a> <span class="p1">(<span class="default"><a href="yellow_1.html#K1" title="YELLOW_1:func.1">InclPoset</a> <span class="p2">(<span class="default"><a href="waybel_0.html#K7" title="WAYBEL_0:func.7">Ids</a> <font color="Olive" title="b1">L</font></span>)</span></span>)</span> )</div></div>
