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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="struct_0.html#V3">empty</a> <a href="robbins2.html#V1" target="_self">satisfying_DN_1</a>  <a href="robbins1.html#L2">ComplLattStr</a> ;<br/>

<a NAME="E1:56"/>
for <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font>, <font color="Olive">b<sub>3</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font> holds <span class="p1">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="robbins1.html#K5">+</a> <font color="Olive">b<sub>2</sub></font></span>)</span> <a href="robbins1.html#K5">+</a> <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="robbins1.html#K5">+</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>2</sub></font> <a href="robbins1.html#K5">+</a> <font color="Olive">b<sub>3</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="robbins2.html#T55" target="_self">Th55</a></i>;<br/>
<b>hence </b><a NAME="E2:56"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="lattices.html#V5">join-associative</a>
 <b>by </b><i><a class="ref" href="lattices.html#D5">LATTICES:def 5</a></i>;<br/>


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