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<div><span class="kw">theorem </span><a NAME="T13"><span class="comment"><font color="firebrick">:: FINTOPO2:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">FT</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">FT</font><br/>  for <font color="Olive" title="b3">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">FT</font> holds <br/> ( <font color="Olive" title="b2">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">A</font> <a href="fin_topo.html#K6" title="FIN_TOPO:func.6">^deltai</a>  iff (  ex <font color="Olive" title="b4">y1</font>, <font color="Olive" title="b5">y2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">FT</font> st <br/>(  <a href="fintopo2.html#K1" title="FINTOPO2:func.1">P_1</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b4">y1</font>,<font color="Olive" title="b3">A</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K7" title="MARGREL1:func.7">TRUE</a>  &amp;  <a href="fintopo2.html#K2" title="FINTOPO2:func.2">P_2</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b5">y2</font>,<font color="Olive" title="b3">A</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K7" title="MARGREL1:func.7">TRUE</a>  ) &amp;  <a href="fintopo2.html#K4" title="FINTOPO2:func.4">P_A</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">A</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K7" title="MARGREL1:func.7">TRUE</a>  ) )</div></div>
