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<div><span class="kw">theorem </span><a NAME="T4"><span class="comment"><font color="firebrick">:: FINTOPO7:4</font></span><br/></a><div class="add"> 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="fintopo2.html#V1" title="FINTOPO2:attr.1">strict</a>   <a href="fintopo7.html#V1" title="FINTOPO7:attr.1">PP0</a>   <a href="fintopo2.html#L1" title="FINTOPO2:struct.1">FMT_Space_Str</a> <br/>  for <font color="Olive" title="b2">A</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">ETV</font> holds  <span class="p1"> { <span class="default"> <font color="Olive" title="b3">F</font> where <font color="Olive" title="b3">F</font> is    <a href="fintopo7.html#M2" title="FINTOPO7:mode.2">a_neighborhood</a> of <font color="Olive" title="b2">A</font> : verum </span> } </span>  is    <a href="card_fil.html#M1" title="CARD_FIL:mode.1">Filter</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">ETV</font></div></div>
