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<div>:: <span class="kw">deftheorem </span>   defines <a href="pre_topc.html#V6" title="PRE_TOPC:attr.6">T_0</a> <a onclick="hs(this)" href="javascript:()">TSP_1:def 4 : <br/></a><span> for <font color="Olive" title="b1">Y</font> being    <a href="pre_topc.html#L1" title="PRE_TOPC:struct.1">TopStruct</a>  holds <br/> ( <font color="Olive" title="b1">Y</font> is  <a href="pre_topc.html#V6" title="PRE_TOPC:attr.6">T_0</a>  iff ( <font color="Olive" title="b1">Y</font> is  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  or  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">Y</font>  holds <br/>(  not <font color="Olive" title="b2">x</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">y</font> or  ex <font color="Olive" title="b4">E</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">Y</font> st <br/>( <font color="Olive" title="b4">E</font> is  <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>  &amp; <font color="Olive" title="b2">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">E</font> &amp;  not <font color="Olive" title="b3">y</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">E</font> ) or  ex <font color="Olive" title="b4">F</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">Y</font> st <br/>( <font color="Olive" title="b4">F</font> is  <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>  &amp;  not <font color="Olive" title="b2">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">F</font> &amp; <font color="Olive" title="b3">y</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">F</font> ) ) ) );<br/></span></div>
