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<b>consider </b><font color="Maroon" title="c1">A</font> being  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a> <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a> <a href="orders_2.html#V3" title="ORDERS_2:attr.3">reflexive</a> <a href="orders_2.html#V4" title="ORDERS_2:attr.4">transitive</a> <a href="orders_2.html#V5" title="ORDERS_2:attr.5">antisymmetric</a>  <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> ;<br/>
<a NAME="E2:7_1_1"/>
<font color="Maroon" title="c1">A</font> is    <a href="orders_4.html#M1" title="ORDERS_4:mode.1">Chain</a> 
 
<b>by </b><i><a class="ref" href="orders_4.html#D1" target="_self" title="ORDERS_4:def.1">Def1</a></i>;<br/>
<b>hence </b><a NAME="E3:7_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being   <a href="orders_4.html#M1" title="ORDERS_4:mode.1">Chain</a>  st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a> &amp; not <font color="Olive">b<sub>1</sub></font> is <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> )
 ;<br/>


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