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<b>let </b><font color="Maroon">L</font> be  non <a href="struct_0.html#V3">empty</a> <a href="lattices.html#V4">join-commutative</a> <a href="lattices.html#V5">join-associative</a> <a href="lattices.html#V6">meet-commutative</a> <a href="lattices.html#V8">meet-absorbing</a> <a href="lattices.html#V9">join-absorbing</a>  <a href="lattices.html#L3">LattStr</a> ;<br/><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>, <font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>, <font color="Maroon">c</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/>



<a NAME="E1:6"/>
<font color="Maroon">c</font> <a href="lattices.html#K3">"\/"</a> <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <font color="Maroon">c</font>
 
<b>by </b><i><a class="ref" href="lattices.html#T17">LATTICES:17</a></i>;<br/>
<b>hence </b><a NAME="E2:6"/>
( <font color="Maroon">a</font> <a href="lattices.html#R3">[=</a> <font color="Maroon">c</font> &amp; <font color="Maroon">b</font> <a href="lattices.html#R3">[=</a> <font color="Maroon">c</font> implies <font color="Maroon">a</font> <a href="lattices.html#K3">"\/"</a> <font color="Maroon">b</font> <a href="lattices.html#R3">[=</a> <font color="Maroon">c</font> )
 <b>by </b><i/>;<br/>


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