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<b>let </b><font color="Maroon">K</font> be  <a href="orders_2.html#V2">reflexive</a> <a href="orders_2.html#V4">antisymmetric</a> <a href="lattice3.html#V1" target="_self">with_suprema</a> <a href="lattice3.html#V2" target="_self">with_infima</a>  <a href="orders_2.html#L1">RelStr</a> ;<br/><b>let </b><font color="Maroon">k1</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">K</font>;<br/><b>let </b><font color="Maroon">k2</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">K</font>;<br/>





<a NAME="E1:45"/>
( <font color="Maroon">k1</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">k1</font> &amp; <font color="Maroon">k1</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">k1</font> <a href="lattice3.html#K13" target="_self">"\/"</a> <font color="Maroon">k2</font> &amp; ( for <font color="Olive">k3</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">K</font>  st <font color="Olive">k3</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">k1</font> &amp; <font color="Olive">k3</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">k1</font> <a href="lattice3.html#K13" target="_self">"\/"</a> <font color="Maroon">k2</font> holds <br/><font color="Olive">k3</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">k1</font> ) )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:45"/>
<font color="Maroon">k1</font> <a href="lattice3.html#K12" target="_self">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon">k1</font> <a href="lattice3.html#K13" target="_self">"\/"</a> <font color="Maroon">k2</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">k1</font>
 <b>by </b><i/>;<br/>


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