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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="orders_2.html#L1">RelStr</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:75"/><i><font color="Green">E53</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> is <a href="dickson.html#V4" target="_self">Dickson</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="dickson.html#V3" target="_self">quasi_ordered</a> )
 <b>and </b><br/><a NAME="E2:75"/><i><font color="Green">E54</font></i>: 
<font color="Maroon">c<sub>2</sub></font> is <a href="dickson.html#V3" target="_self">quasi_ordered</a>
 <b>and </b><br/><a NAME="E3:75"/><i><font color="Green">E55</font></i>: 
the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">c<sub>1</sub></font> <a href="tarski.html#R1">c=</a> the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">c<sub>2</sub></font>
 <b>and </b><br/><a NAME="E4:75"/><i><font color="Green">E56</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font>
 ;<br/>

<a NAME="E5:75"/>
<font color="Maroon">c<sub>2</sub></font> is <a href="dickson.html#V4" target="_self">Dickson</a>
 
<b>by </b><i><a class="txt" href="dickson.html#E1:75"><i><font color="Green">E53</font></i></a>, <a class="txt" href="dickson.html#E3:75"><i><font color="Green">E55</font></i></a>, <a class="txt" href="dickson.html#E4:75"><i><font color="Green">E56</font></i></a>, <a class="ref" href="dickson.html#T29" target="_self">Th29</a></i>;<br/>
<b>hence </b><a NAME="E6:75"/>
<font color="Maroon">c<sub>2</sub></font> <a href="dickson.html#K5" target="_self">\~</a>  is <a href="wellfnd1.html#V1">well_founded</a>
 <b>by </b><i><a class="txt" href="dickson.html#E2:75"><i><font color="Green">E54</font></i></a>, <a class="ref" href="dickson.html#T34" target="_self">Th34</a></i>;<br/>


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