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<b>consider </b><font color="Maroon" title="c1">T</font> being  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a> <a href="tdlat_3.html#V1" title="TDLAT_3:attr.1">discrete</a> <a href="group_1.html#V6" title="GROUP_1:attr.6">finite</a> <a href="realset2.html#V3" title="REALSET2:attr.3">trivial</a> <a href="orders_2.html#V2" title="ORDERS_2:attr.2">reflexive</a> <a href="waybel_9.html#V1" title="WAYBEL_9:attr.1">strict</a>  <a href="waybel_9.html#L1" title="WAYBEL_9:struct.1">TopRelStr</a> ;<br/>
<b>take </b>
<font color="Maroon" title="c1">T</font>
;<br/>

<b>thus </b><a NAME="E2:23_1_1"/>
( <font color="Maroon" title="c1">T</font> is <a href="realset2.html#V3" title="REALSET2:attr.3">trivial</a> &amp; <font color="Maroon" title="c1">T</font> is <a href="lattice3.html#V3" title="LATTICE3:attr.3">complete</a> &amp; <font color="Maroon" title="c1">T</font> is <a href="waybel_9.html#V1" title="WAYBEL_9:attr.1">strict</a> &amp; not <font color="Maroon" title="c1">T</font> is <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a> )
 ;<br/>

<b>let </b><font color="Maroon" title="c2">S</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">T</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="waybel11.html#D5" target="_self" title="WAYBEL11:def.5">WAYBEL11:def 5</a><br/>

<b>thus </b><a NAME="E3:23_1_1"/>
( <font color="Maroon" title="c2">S</font> is <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a> iff <font color="Maroon" title="c2">S</font> is <a href="waybel_0.html#V13" title="WAYBEL_0:attr.13">upper</a> )
 <b>by </b><i><a class="ref" href="tdlat_3.html#T17" title="TDLAT_3:th.17">TDLAT_3:17</a></i>;<br/>


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