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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="relat_1.html#NM1">Relation</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>



<a NAME="E1:74"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="relat_1.html#K4">~</a> </span>)</span> <a href="relat_1.html#K4">~</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font>
 
;<br/>
<b>hence </b><a NAME="E2:74"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="orders_1.html#R4" target="_self">has_upper_Zorn_property_wrt</a> <font color="Maroon">c<sub>1</sub></font> <a href="relat_1.html#K4">~</a>  iff <font color="Maroon">c<sub>2</sub></font> <a href="orders_1.html#R5" target="_self">has_lower_Zorn_property_wrt</a> <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="ref" href="orders_1.html#T151" target="_self">Th151</a></i>;<br/>


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