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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>assume </b><a NAME="E1:79"/><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/>

<b>consider </b><font color="Maroon">A</font> being  <a href="pre_topc.html#V2">correct</a> <a href="waybel11.html#V4">Scott</a>  <a href="yellow_9.html#M1" target="_self">TopAugmentation</a> of <font color="Maroon">S</font>;<br/>
<a NAME="E3:79"/>
 <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/>;<br/>
<a NAME="E4:79"/><b>then </b>
<font color="Maroon">A</font> is  <a href="pre_topc.html#V2">correct</a> <a href="waybel11.html#V4">Scott</a>  <a href="yellow_9.html#M1" target="_self">TopAugmentation</a> of <font color="Maroon">T</font>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E5:79"/><b>then </b>
the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">A</font> <a href="hidden.html#R1">=</a>  <a href="waybel11.html#K5">sigma</a> <font color="Maroon">T</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E6:79"/>
 <a href="waybel11.html#K5">sigma</a> <font color="Maroon">S</font> <a href="hidden.html#R1">=</a>  <a href="waybel11.html#K5">sigma</a> <font color="Maroon">T</font>
 <b>by </b><i/>;<br/>


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