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<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>reconsider </b><font color="Maroon">B1</font> =  <a href="yellow_1.html#K3">BoolePoset</a> 1 as  <a href="lattice3.html#V3">complete</a> <a href="waybel_0.html#NM8">LATTICE</a> ;<br/>
<b>reconsider </b><font color="Maroon">OSS</font> =  <a href="waybel25.html#K1">Omega</a> <a href="waybel18.html#K9">Sierpinski_Space</a>  as  <a href="lattice3.html#V3">complete</a> <a href="waybel11.html#V4">Scott</a>  <a href="yellow_9.html#M1">TopAugmentation</a> of <font color="Maroon">B1</font> <b>by </b><i><a class="ref" href="waybel27.html#D2" target="_self">Def2</a>, <a class="ref" href="waybel26.html#T4">WAYBEL26:4</a></i>;<br/>
<a NAME="E3:50"/>
 <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">OSS</font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">OSS</font> #) <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <a href="waybel18.html#K9">Sierpinski_Space</a> ,the <a href="pre_topc.html#U1">topology</a> of <a href="waybel18.html#K9">Sierpinski_Space</a>  #)
 
<b>by </b><i><a class="ref" href="waybel25.html#D2">WAYBEL25:def 2</a></i>;<br/>
<a NAME="E4:50"/><b>then </b>
 <a href="waybel25.html#K1">Omega</a> <font color="Maroon">OSS</font> <a href="hidden.html#R1">=</a> <font color="Maroon">OSS</font>
 
<b>by </b><i><a class="ref" href="waybel25.html#T13">WAYBEL25:13</a></i>;<br/>
<a NAME="E5:50"/><b>then </b><i><font color="Green">E36</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">S</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">S</font> #) &amp;  <a href="orders_2.html#G1">RelStr</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">OSS</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">OSS</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">B1</font>,the <a href="orders_2.html#U1">InternalRel</a> of <font color="Maroon">B1</font> #) )
 
<b>by </b><i><a class="ref" href="waybel25.html#T16">WAYBEL25:16</a></i>;<br/>
<b>thus </b> <a href="waybel26.html#K1">oContMaps</a> <font color="Maroon">S</font>,<a href="waybel18.html#K9">Sierpinski_Space</a>  = 
 <a href="waybel24.html#K3">ContMaps</a> <font color="Maroon">S</font>,<span class="p1">(<span class="default"><a href="waybel25.html#K1">Omega</a> <a href="waybel18.html#K9">Sierpinski_Space</a> </span>)</span>
<b>by </b><i><a class="ref" href="waybel26.html#D1">WAYBEL26:def 1</a></i>
<br/>.= 
 <a href="waybel17.html#K2">SCMaps</a> <font color="Maroon">S</font>,<font color="Maroon">OSS</font>
<b>by </b><i><a class="ref" href="waybel24.html#T38">WAYBEL24:38</a></i>
<br/>.= 
 <a href="waybel27.html#K2" target="_self">UPS</a> <font color="Maroon">S</font>,<font color="Maroon">OSS</font>
<b>by </b><i/>
<br/>.= 
 <a href="waybel27.html#K2" target="_self">UPS</a> <font color="Maroon">S</font>,<span class="p1">(<span class="default"><a href="yellow_1.html#K3">BoolePoset</a> 1</span>)</span>
<b>by </b><i><a class="ref" href="waybel27.html#D3" target="_self">Def3</a>, </i>
;<br/>


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