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<b>let </b><font color="Maroon">R1</font> be   <a href="waybel_0.html#NM8">LATTICE</a>, <font color="Maroon">R2</font> be   <a href="waybel_0.html#NM8">LATTICE</a>;<br/><b>let </b><font color="Maroon">X</font> be    <a href="hidden.html#M1">set</a> ;<br/>



<b>assume </b><a NAME="E1:82"/><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">p1</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R1</font>;<br/><b>let </b><font color="Maroon">p2</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R2</font>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E2:82"/><i><font color="Green">E53</font></i>: 
<font color="Maroon">p1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p2</font>
 <b>and </b><br/><a NAME="E3:82"/><i><font color="Green">E54</font></i>: 
<font color="Maroon">X</font> <a href="lattice3.html#R2">is_&lt;=_than</a> <font color="Maroon">p1</font>
 ;<br/>

<b>let </b><font color="Maroon">b2</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="lattice3.html#D9">LATTICE3:def 9</a><br/>

<b>reconsider </b><font color="Maroon">b1</font> = <font color="Maroon">b2</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">R1</font> <b>by </b><i/>;<br/>
<b>assume </b><a NAME="E5:82"/>
<font color="Maroon">b2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">X</font>
 ;<br/>

<a NAME="E6:82"/><b>then </b>
<font color="Maroon">p1</font> <a href="orders_2.html#NR2" target="_self">&gt;=</a> <font color="Maroon">b1</font>
 
<b>by </b><i><a class="txt" href="waybel11.html#E2:82"><i><font color="Green">E53</font></i></a>, <a class="ref" href="lattice3.html#D9">LATTICE3:def 9</a></i>;<br/>
<b>hence </b><a NAME="E7:82"/>
<font color="Maroon">p2</font> <a href="orders_2.html#NR2" target="_self">&gt;=</a> <font color="Maroon">b2</font>
 <b>by </b><i>, , </i>;<br/>


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