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<div><span class="kw">theorem </span><a NAME="T12"><span class="comment"><font color="firebrick">:: NELSON_1:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="nelson_1.html#NM3" title="NELSON_1:NM.3">Nelson_Algebra</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive" title="b2">a</font> <a href="nelson_1.html#R2" title="NELSON_1:pred.2">&lt;=</a> <font color="Olive" title="b3">b</font> iff <font color="Olive" title="b2">a</font> <a href="nelson_1.html#K3" title="NELSON_1:func.3">=-&gt;</a> <font color="Olive" title="b3">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Olive" title="b1">L</font> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="nelson_1.html#D12" target="_self" onmouseover="rs('nelson_1/D12')" onmouseout="rh()">Def6</a></span>;<br/></div></div>
