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<span class="kw">let </span><font color="Maroon" title="c1">K</font> be  non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="lattices.html#V4" title="LATTICES:attr.4">join-commutative</a>   <a href="lattices.html#V5" title="LATTICES:attr.5">join-associative</a>   <a href="robbins1.html#L2" title="ROBBINS1:struct.2">ComplLattStr</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">K</font> is  <a href="robbins1.html#V4" title="ROBBINS1:attr.4">Robbins</a>  implies <font color="Maroon" title="c1">K</font> is  <a href="robbins1.html#V5" title="ROBBINS1:attr.5">Huntington</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:102_1_1"/><span class="lab"><font color="Green" title="E58">A1</font></span>: 
<font color="Maroon" title="c1">K</font> is  <a href="robbins1.html#V4" title="ROBBINS1:attr.4">Robbins</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">K</font> is  <a href="robbins1.html#V5" title="ROBBINS1:attr.5">Huntington</a> </span><br/>

<a NAME="E2:102_1_1"/><span class="kw">then </span>
 ex <font color="Olive" title="b1">y</font>, <font color="Olive" title="b2">z</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">K</font> st <font color="Olive" title="b1">y</font> <a href="robbins1.html#K5" title="ROBBINS1:func.5">+</a> <font color="Olive" title="b2">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">z</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="robbins1.html#T60" target="_self" title="ROBBINS1:th.60">Th60</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:102_1_1"/>
<font color="Maroon" title="c1">K</font> is  <a href="robbins1.html#V5" title="ROBBINS1:attr.5">Huntington</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:102_1_1"><span class="lab"><font color="Green" title="E58">A1</font></span></a>, <a class="ref" href="robbins1.html#T59" target="_self" title="ROBBINS1:th.59">Th59</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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