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<b>let </b><font color="Maroon" title="c1">L</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="robbins3.html#V10" title="ROBBINS3:attr.10">naturally_sup-generated</a>  <a href="robbins3.html#L3" title="ROBBINS3:struct.3">LattRelStr</a> ;<br/><b>let </b><font color="Maroon" title="c2">x</font>, <font color="Maroon" title="c3">y</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font>;<br/>



<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:70_1"/>
<font color="Maroon" title="c2">x</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Maroon" title="c3">y</font>
 ;<br/><a NAME="E2:70_1"/><b>then </b>
<font color="Maroon" title="c2">x</font> <a href="robbins3.html#NK1" title="ROBBINS3:NK.1">|_|</a> <font color="Maroon" title="c3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">y</font>
 <b>by </b><i><a class="ref" href="robbins3.html#D10" target="_self" title="ROBBINS3:def.10">Def10</a></i>;<br/><b>hence </b><a NAME="E3:70_1"/>
<font color="Maroon" title="c2">x</font> <a href="lattices.html#R1" title="LATTICES:pred.1">[=</a> <font color="Maroon" title="c3">y</font>
 <b>by </b><i><a class="ref" href="lattices.html#D3" title="LATTICES:def.3">LATTICES:def 3</a></i>;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E2:70"/>
<font color="Maroon" title="c2">x</font> <a href="lattices.html#R1" title="LATTICES:pred.1">[=</a> <font color="Maroon" title="c3">y</font>
 ;<br/>

<a NAME="E3:70"/><b>then </b>
<font color="Maroon" title="c2">x</font> <a href="robbins3.html#NK1" title="ROBBINS3:NK.1">|_|</a> <font color="Maroon" title="c3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">y</font>
 
<b>by </b><i><a class="ref" href="lattices.html#D3" title="LATTICES:def.3">LATTICES:def 3</a></i>;<br/>
<b>hence </b><a NAME="E4:70"/>
<font color="Maroon" title="c2">x</font> <a href="orders_2.html#R1" title="ORDERS_2:pred.1">&lt;=</a> <font color="Maroon" title="c3">y</font>
 <b>by </b><i><a class="ref" href="robbins3.html#D10" target="_self" title="ROBBINS3:def.10">Def10</a></i>;<br/>


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