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<div><span class="kw">theorem </span><a NAME="T7"><span class="comment"><font color="firebrick">:: LATTICES:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="lattices.html#V5" title="LATTICES:attr.5">join-associative</a>   <a href="lattices.html#L2" title="LATTICES:struct.2">\/-SemiLattStr</a> <br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font>, <font color="Olive" title="b4">c</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="lattices.html#R1" title="LATTICES:pred.1">[=</a> <font color="Olive" title="b3">b</font> &amp; <font color="Olive" title="b3">b</font> <a href="lattices.html#R1" title="LATTICES:pred.1">[=</a> <font color="Olive" title="b4">c</font> holds <br/><font color="Olive" title="b2">a</font> <a href="lattices.html#R1" title="LATTICES:pred.1">[=</a> <font color="Olive" title="b4">c</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="lattices.html#D5" target="_self" onmouseover="rs('lattices/D5')" onmouseout="rh()">Def5</a></span>;<br/></div></div>
