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<b>set </b><font color="Maroon">s</font> = <font color="Maroon">R</font> <a href="waybel35.html#K1" target="_self">-LowerMap</a> ;<br/>
<b>let </b><font color="Maroon">x</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>, <font color="Maroon">y</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_1.html#D2">WAYBEL_1:def 2</a><br/>

<a NAME="E1:18_1_1"/><i><font color="Green">E30</font></i>: 
( <span class="p1">(<span class="default"><font color="Maroon">R</font> <a href="waybel35.html#K1" target="_self">-LowerMap</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">R</font> <a href="waybel_4.html#K5">-below</a> <font color="Maroon">x</font> &amp; <span class="p1">(<span class="default"><font color="Maroon">R</font> <a href="waybel35.html#K1" target="_self">-LowerMap</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <font color="Maroon">R</font> <a href="waybel_4.html#K5">-below</a> <font color="Maroon">y</font> )
 
<b>by </b><i/>;<br/>
<b>assume </b><a NAME="E2:18_1_1"/>
<font color="Maroon">x</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">y</font>
 ;<br/>

<a NAME="E3:18_1_1"/><b>then </b>
<font color="Maroon">R</font> <a href="waybel_4.html#K5">-below</a> <font color="Maroon">x</font> <a href="lattice7.html#R1">c=</a> <font color="Maroon">R</font> <a href="waybel_4.html#K5">-below</a> <font color="Maroon">y</font>
 
<b>by </b><i><a class="ref" href="waybel_4.html#T17">WAYBEL_4:17</a></i>;<br/>
<b>hence </b><a NAME="E4:18_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon">R</font> <a href="waybel35.html#K1" target="_self">-LowerMap</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">x</font> <a href="orders_2.html#R1">&lt;=</a> <span class="p1">(<span class="default"><font color="Maroon">R</font> <a href="waybel35.html#K1" target="_self">-LowerMap</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">y</font>
 <b>by </b><i>, <a class="ref" href="yellow_1.html#T3">YELLOW_1:3</a></i>;<br/>


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