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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th5</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: NELSON_1:9</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#R1" title="NELSON_1:pred.1">&lt;</a> <font color="Olive" title="b3">b</font> &amp;  <a href="robbins1.html#NK11" title="ROBBINS1:NK.11">-</a> <font color="Olive" title="b3">b</font> <a href="nelson_1.html#R1" title="NELSON_1:pred.1">&lt;</a>  <a href="robbins1.html#NK11" title="ROBBINS1:NK.11">-</a> <font color="Olive" title="b2">a</font> ) )</div></div>
