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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E7">Th8</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: YELLOW_7:8</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font><br/>  for <font color="Olive" title="b3">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( ( <font color="Olive" title="b2">x</font> <a href="lattice3.html#R1" title="LATTICE3:pred.1">is_&lt;=_than</a> <font color="Olive" title="b3">X</font> implies <font color="Olive" title="b2">x</font> <a href="lattice3.html#K8" title="LATTICE3:func.8">~</a>  <a href="lattice3.html#NR4" title="LATTICE3:NR.4">is_&gt;=_than</a> <font color="Olive" title="b3">X</font> ) &amp; ( <font color="Olive" title="b2">x</font> <a href="lattice3.html#K8" title="LATTICE3:func.8">~</a>  <a href="lattice3.html#NR4" title="LATTICE3:NR.4">is_&gt;=_than</a> <font color="Olive" title="b3">X</font> implies <font color="Olive" title="b2">x</font> <a href="lattice3.html#R1" title="LATTICE3:pred.1">is_&lt;=_than</a> <font color="Olive" title="b3">X</font> ) &amp; ( <font color="Olive" title="b2">x</font> <a href="lattice3.html#NR4" title="LATTICE3:NR.4">is_&gt;=_than</a> <font color="Olive" title="b3">X</font> implies <font color="Olive" title="b2">x</font> <a href="lattice3.html#K8" title="LATTICE3:func.8">~</a>  <a href="lattice3.html#R1" title="LATTICE3:pred.1">is_&lt;=_than</a> <font color="Olive" title="b3">X</font> ) &amp; ( <font color="Olive" title="b2">x</font> <a href="lattice3.html#K8" title="LATTICE3:func.8">~</a>  <a href="lattice3.html#R1" title="LATTICE3:pred.1">is_&lt;=_than</a> <font color="Olive" title="b3">X</font> implies <font color="Olive" title="b2">x</font> <a href="lattice3.html#NR4" title="LATTICE3:NR.4">is_&gt;=_than</a> <font color="Olive" title="b3">X</font> ) )</div></div>
