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<div><span class="kw">theorem </span><a NAME="T32"><span class="comment"><font color="firebrick">:: NELSON_1:32</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>, <font color="Olive" title="b4">c</font>, <font color="Olive" title="b5">d</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font>  st <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; <font color="Olive" title="b4">c</font> <a href="nelson_1.html#R1" title="NELSON_1:pred.1">&lt;</a> <font color="Olive" title="b5">d</font> holds <br/>( <font color="Olive" title="b2">a</font> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <font color="Olive" title="b4">c</font> <a href="nelson_1.html#R1" title="NELSON_1:pred.1">&lt;</a> <font color="Olive" title="b3">b</font> <a href="lattices.html#K3" title="LATTICES:func.3">"\/"</a> <font color="Olive" title="b5">d</font> &amp; <font color="Olive" title="b2">a</font> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <font color="Olive" title="b4">c</font> <a href="nelson_1.html#R1" title="NELSON_1:pred.1">&lt;</a> <font color="Olive" title="b3">b</font> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <font color="Olive" title="b5">d</font> ) <span class="kw">by</span> <span class="lab"><a class="txt" href="nelson_1.html#E43"><span class="lab"><font color="Green" title="E30">Lm2</font></span></a></span>;<br/></div></div>
