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<b>let </b><font color="Maroon">R1</font> be  non <a href="struct_0.html#V3">empty</a> <a href="orders_2.html#V2">reflexive</a>  <a href="orders_2.html#L1">RelStr</a> , <font color="Maroon">R2</font> be  non <a href="struct_0.html#V3">empty</a> <a href="orders_2.html#V2">reflexive</a>  <a href="orders_2.html#L1">RelStr</a> ;<br/>

<b>assume </b><a NAME="E1:86"/><i><font color="Green">E41</font></i>: 
 <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R1</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">R1</font> #) <a href="hidden.html#R1">=</a>  <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">R2</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">R2</font> #)
 ;<br/>

<b>let </b><font color="Maroon">D</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">R1</font>;<br/><b>let </b><font color="Maroon">D'</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">R2</font>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E2:86"/><i><font color="Green">E53</font></i>: 
<font color="Maroon">D</font> <a href="hidden.html#R1">=</a> <font color="Maroon">D'</font>
 <b>and </b><br/><a NAME="E3:86"/><i><font color="Green">E54</font></i>: 
<font color="Maroon">D</font> is <a href="waybel_0.html#V1">directed</a>
 ;<br/>

<b>let </b><font color="Maroon">x2</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R2</font>, <font color="Maroon">y2</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R2</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_0.html#D1">WAYBEL_0:def 1</a><br/>

<b>assume </b><a NAME="E4:86"/><i><font color="Green">E63</font></i>: 
( <font color="Maroon">x2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">D'</font> &amp; <font color="Maroon">y2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">D'</font> )
 ;<br/>

<b>reconsider </b><font color="Maroon">x1</font> = <font color="Maroon">x2</font>, <font color="Maroon">y1</font> = <font color="Maroon">y2</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R1</font> <b>by </b><i><a class="ref" href="waybel11.html#T1" target="_self">Th1</a></i>;<br/>
<b>consider </b><font color="Maroon">z1</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R1</font><b> such that </b><br/><a NAME="E7:86"/><i><font color="Green">E64</font></i>: 
<font color="Maroon">z1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">D</font>
 <b>and </b><br/><a NAME="E8:86"/><i><font color="Green">E88</font></i>: 
( <font color="Maroon">x1</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">z1</font> &amp; <font color="Maroon">y1</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">z1</font> )
 <b>by </b><i>, , , <a class="ref" href="waybel_0.html#D1">WAYBEL_0:def 1</a></i>;<br/>
<b>reconsider </b><font color="Maroon">z2</font> = <font color="Maroon">z1</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R2</font> <b>by </b><i><a class="ref" href="waybel11.html#T1" target="_self">Th1</a></i>;<br/>
<b>take </b>
<font color="Maroon">z2</font>
;<br/>

<b>thus </b><a NAME="E10:86"/>
<font color="Maroon">z2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">D'</font>
 <b>by </b><i>, </i>;<br/>

<b>thus </b><a NAME="E11:86"/>
( <font color="Maroon">x2</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">z2</font> &amp; <font color="Maroon">y2</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">z2</font> )
 <b>by </b><i><a class="ref" href="waybel11.html#T1" target="_self">Th1</a>, , </i>;<br/>


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