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<b>let </b><font color="Maroon">R</font> be  non <a href="struct_0.html#V3">empty</a> <a href="orders_2.html#NM1">Poset</a>;<br/><b>let </b><font color="Maroon">s1</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font>, <font color="Maroon">s2</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R</font>;<br/>



<b>assume </b><a NAME="E1:20"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">s1</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">s2</font>
 ;<br/>

<a NAME="E2:20"/>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">s1</font>,<font color="Maroon">s2</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="osalg_4.html#K1" target="_self">Path_Rel</a> <font color="Maroon">R</font>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E3:20"/><b>then </b>
 <a href="eqrel_1.html#K7">Class</a> <span class="p1">(<span class="default"><a href="osalg_4.html#K1" target="_self">Path_Rel</a> <font color="Maroon">R</font></span>)</span>,<font color="Maroon">s1</font> <a href="hidden.html#R1">=</a>  <a href="eqrel_1.html#K7">Class</a> <span class="p1">(<span class="default"><a href="osalg_4.html#K1" target="_self">Path_Rel</a> <font color="Maroon">R</font></span>)</span>,<font color="Maroon">s2</font>
 
<b>by </b><i><a class="ref" href="eqrel_1.html#T44">EQREL_1:44</a></i>;<br/>
<b>hence </b><a NAME="E4:20"/>
 <a href="osalg_4.html#K3" target="_self">CComp</a> <font color="Maroon">s1</font> <a href="hidden.html#R1">=</a>  <a href="osalg_4.html#K3" target="_self">CComp</a> <font color="Maroon">s2</font>
 ;<br/>


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