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<b>let </b><font color="Maroon">S</font> be  <a href="lattice3.html#V3">complete</a> <a href="waybel_0.html#NM8">LATTICE</a>, <font color="Maroon">T</font> be  <a href="lattice3.html#V3">complete</a> <a href="waybel_0.html#NM8">LATTICE</a>;<br/><b>let </b><font color="Maroon">d</font> be  <a href="waybel_0.html#V18">sups-preserving</a> <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">T</font>,<font color="Maroon">S</font>;<br/>



<b>assume </b><a NAME="E1:87"/><i><font color="Green">E44</font></i>: 
for <font color="Olive">t</font>, <font color="Olive">t'</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">T</font>  st <font color="Olive">t</font> <a href="waybel_3.html#NR2" target="_self">&lt;&lt;</a> <font color="Olive">t'</font> holds <br/><font color="Maroon">d</font> <a href="funct_2.html#K3">.</a> <font color="Olive">t</font> <a href="waybel_3.html#NR2" target="_self">&lt;&lt;</a> <font color="Maroon">d</font> <a href="funct_2.html#K3">.</a> <font color="Olive">t'</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel34.html#D8" target="_self">WAYBEL34:def 8</a><br/>

<b>let </b><font color="Maroon">t</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">T</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel34.html#D14" target="_self">WAYBEL34:def 14</a><br/>

<b>assume </b><a NAME="E2:87"/>
<font color="Maroon">t</font> <a href="waybel_3.html#NR2" target="_self">&lt;&lt;</a> <font color="Maroon">t</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_3.html#D2">WAYBEL_3:def 2</a><br/>

<b>hence </b><a NAME="E3:87"/>
<font color="Maroon">d</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">t</font> <a href="waybel_3.html#NR2" target="_self">&lt;&lt;</a> <font color="Maroon">d</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">t</font>
 <b>by </b><i/>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel_3.html#D2">WAYBEL_3:def 2</a><br/>


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