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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E13">Def5</font></span>   defines <a href="yellow_8.html#V4" title="YELLOW_8:attr.4">sober</a> <a onclick="hs(this)" href="javascript:()">YELLOW_8:def 5 : <br/></a><span> for <font color="Olive" title="b1">T</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a> holds <br/> ( <font color="Olive" title="b1">T</font> is  <a href="yellow_8.html#V4" title="YELLOW_8:attr.4">sober</a>  iff  for <font color="Olive" title="b2">S</font> being   <a href="yellow_8.html#V3" title="YELLOW_8:attr.3">irreducible</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">T</font>  ex <font color="Olive" title="b3">p</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">T</font> st <br/>( <font color="Olive" title="b3">p</font> <a href="yellow_8.html#R1" title="YELLOW_8:pred.1">is_dense_point_of</a> <font color="Olive" title="b2">S</font> &amp; (  for <font color="Olive" title="b4">q</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">T</font>  st <font color="Olive" title="b4">q</font> <a href="yellow_8.html#R1" title="YELLOW_8:pred.1">is_dense_point_of</a> <font color="Olive" title="b2">S</font> holds <br/><font color="Olive" title="b3">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">q</font> ) ) );<br/></span></div>
