<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">S</font> be  <a href="lattice3.html#V3">complete</a> <a href="waybel11.html#V4">Scott</a> <a href="waybel_9.html#NM1">TopLattice</a>;<br/><b>let </b><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">A</font> be  <a href="waybel11.html#V4">Scott</a>  <a href="yellow_9.html#M1">TopAugmentation</a> of <font color="Maroon">T</font>;<br/>





<b>assume </b><a NAME="E1:10"/><i><font color="Green">E32</font></i>: 
 <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">S</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">T</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">T</font> #)
 ;<br/>

<a NAME="E2:10"/><i><font color="Green">E34</font></i>: 
 <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">A</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">S</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">S</font> #)
 
<b>by </b><i>, <a class="ref" href="yellow_9.html#D4">YELLOW_9:def 4</a></i>;<br/>
the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">S</font> = 
 <a href="waybel11.html#K5">sigma</a> <font color="Maroon">S</font>
<b>by </b><i><a class="ref" href="waybel14.html#T23">WAYBEL14:23</a></i>
<br/>.= 
 <a href="waybel11.html#K5">sigma</a> <font color="Maroon">T</font>
<b>by </b><i>, <a class="ref" href="yellow_9.html#T52">YELLOW_9:52</a></i>
<br/>.= 
the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">A</font>
<b>by </b><i><a class="ref" href="yellow_9.html#T51">YELLOW_9:51</a></i>
;<br/>
<b>hence </b><a NAME="E4:10"/>
 <a href="waybel_9.html#G1">TopRelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">A</font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">A</font> #) <a href="hidden.html#R1">=</a>  <a href="waybel_9.html#G1">TopRelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">S</font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">S</font> #)
 <b>by </b><i/>;<br/>


</div>
