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<div>:: <span class="kw">deftheorem </span>   defines <a href="fintopo7.html#V8" title="FINTOPO7:attr.8">PP4</a> <a onclick="hs(this)" href="javascript:()">FINTOPO7:def 29 : <br/></a><span> for <font color="Olive" title="b1">ETV</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">ETV</font> is  <a href="fintopo7.html#V8" title="FINTOPO7:attr.8">PP4</a>  iff  ex <font color="Olive" title="b2">R</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="fintopo2.html#L1" title="FINTOPO2:struct.1">FMT_Space_Str</a>  st <br/> for <font color="Olive" title="b3">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">R</font><br/>  for <font color="Olive" title="b4">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="fintopo2.html#K7" title="FINTOPO2:func.7">NeighSp</a> <font color="Olive" title="b1">ETV</font></span>)</span><br/>  for <font color="Olive" title="b5">z</font> being   <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">ETV</font>  st <font color="Olive" title="b3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">y</font> &amp; <font color="Olive" title="b5">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="fintopo2.html#K6" title="FINTOPO2:func.6">U_FMT</a> <font color="Olive" title="b4">y</font> holds <br/> the <a href="fintopo2.html#U1" title="FINTOPO2:sel.1">BNbd</a> of <font color="Olive" title="b2">R</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="cardfil2.html#K3" title="CARDFIL2:func.3">&lt;.</a><span class="default"><font color="Olive" title="b5">z</font></span><a href="cardfil2.html#K3" title="CARDFIL2:func.3">.]</a></span> );<br/></span></div>
