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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="robbins1.html#L2">ComplLattStr</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>assume </b><a NAME="E1:59"/>
( <font color="Maroon">c<sub>1</sub></font> is <a href="lattices.html#V4">join-commutative</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="lattices.html#V5">join-associative</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="robbins1.html#V5">Huntington</a> )
 ;<br/>

<b>then reconsider </b><font color="Maroon">c<sub>4</sub></font> = <font color="Maroon">c<sub>1</sub></font> as  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="robbins1.html#V5">Huntington</a>  <a href="robbins1.html#L2">ComplLattStr</a>  ;<br/>
<b>reconsider </b><font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>6</sub></font> = <font color="Maroon">c<sub>2</sub></font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>4</sub></font> ;<br/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="robbins1.html#K5">+</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="robbins1.html#K6">*'</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="robbins1.html#K5">+</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> = 
<font color="Maroon">c<sub>5</sub></font> <a href="robbins1.html#K5">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="robbins1.html#K6">*'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="robbins1.html#T32">ROBBINS1:32</a></i>
<br/>.= 
<font color="Maroon">c<sub>5</sub></font> <a href="robbins1.html#K5">+</a> <span class="p1">(<span class="default"><a href="robbins1.html#K7">Bot</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="robbins1.html#T16">ROBBINS1:16</a></i>
<br/>.= 
<font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="robbins1.html#T14">ROBBINS1:14</a></i>
;<br/>
<b>hence </b><a NAME="E5:59"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="robbins1.html#NK4" target="_self">+</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="robbins1.html#K4">*'</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="robbins1.html#NK4" target="_self">+</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="robbins1.html#K3">`</a> </span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font>
 ;<br/>


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