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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be  non <a href="struct_0.html#V3">empty</a> <a href="waybel_0.html#V24">up-complete</a> <a href="orders_2.html#NM1">Poset</a>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <span class="p1"><a href="yellow_3.html#K3">[:</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="yellow_3.html#K3">:]</a></span>;<br/>



<b>assume </b><a NAME="E1:26"/>
( <font color="Maroon">c<sub>3</sub></font> <a href="yellow_3.html#K8">`1</a>  <a href="waybel_3.html#NR2" target="_self">&lt;&lt;</a> <font color="Maroon">c<sub>3</sub></font> <a href="yellow_3.html#K8">`1</a>  &amp; <font color="Maroon">c<sub>3</sub></font> <a href="yellow_3.html#K9">`2</a>  <a href="waybel_3.html#NR2" target="_self">&lt;&lt;</a> <font color="Maroon">c<sub>3</sub></font> <a href="yellow_3.html#K9">`2</a>  )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_3.html#D2">WAYBEL_3:def 2</a><br/>

<b>hence </b><a NAME="E2:26"/>
<font color="Maroon">c<sub>3</sub></font> <a href="waybel_3.html#NR2" target="_self">&lt;&lt;</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="yellow10.html#T21" target="_self">Th21</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_3.html#D2">WAYBEL_3:def 2</a><br/>


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