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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="lattice3.html#V3">complete</a> <a href="waybel_9.html#NM1">TopLattice</a>;<br/>

<b>assume </b><a NAME="E1:69"/>
 <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font>,the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">c<sub>1</sub></font> #) <a href="hidden.html#R1">=</a>  <a href="yellow_6.html#K14">ConvergenceSpace</a> <span class="p1">(<span class="default"><a href="waybel11.html#K2" target="_self">Scott-Convergence</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 ;<br/>

<b>hence </b><a NAME="E2:69"/>
for <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>1</sub></font> holds <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="pre_topc.html#V3">open</a> iff ( <font color="Olive">b<sub>1</sub></font> is <a href="waybel11.html#V1" target="_self">inaccessible_by_directed_joins</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="waybel_0.html#V13">upper</a> ) )
 <b>by </b><i><a class="ref" href="waybel11.html#T33" target="_self">Th33</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel11.html#D4" target="_self">WAYBEL11:def 4</a><br/>


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