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<b>let </b><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:()"><i><font color="Red">::  thesis: </font></i></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/>

<b>assume </b><a NAME="E1:101_1_1"/><i><font color="Green" title="E58">A1</font></i>: 
<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:()"><i><font color="Red">::  thesis: </font></i></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/>

<b>then consider </b><font color="Maroon" title="c2">y</font>, <font color="Maroon" title="c3">z</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">K</font><b> such that </b><br/><a NAME="E3:101_1_1"/><i><font color="Green" title="E59">A2</font></i>: 
<font color="Maroon" title="c2">y</font> <a href="robbins1.html#K5" title="ROBBINS1:func.5">+</a> <font color="Maroon" title="c3">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">z</font>
 <b>by </b><i><a class="ref" href="robbins1.html#T60" target="_self" title="ROBBINS1:th.60">Th60</a></i>;<br/>
<b>thus </b><a NAME="E4:101_1_1"/>
<font color="Maroon" title="c1">K</font> is <a href="robbins1.html#V5" title="ROBBINS1:attr.5">Huntington</a>
 <b>by </b><i><a class="txt" href="#E1:101_1_1"><i><font color="Green" title="E58">A1</font></i></a>, <a class="txt" href="#E3:101_1_1"><i><font color="Green" title="E59">A2</font></i></a>, <a class="ref" href="robbins1.html#T59" target="_self" title="ROBBINS1:th.59">Th59</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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