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<div><span class="kw">theorem </span><a NAME="T12"><span class="comment"><font color="firebrick">:: LATWAL_1:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="latwal_1.html#NM2" title="LATWAL_1:NM.2">WA_Lattice</a><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font>  ex <font color="Olive" title="b4">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font> st <br/>( <font color="Olive" title="b2">x</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Olive" title="b4">z</font> &amp; <font color="Olive" title="b3">y</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Olive" title="b4">z</font> &amp; (  for <font color="Olive" title="b5">u</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">x</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Olive" title="b5">u</font> &amp; <font color="Olive" title="b3">y</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Olive" title="b5">u</font> holds <br/><font color="Olive" title="b4">z</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Olive" title="b5">u</font> ) )</div></div>
