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<div><span class="kw">theorem </span><a NAME="T25"><span class="comment"><font color="firebrick">:: FINTOPO3:25</font></span><br/></a><div class="add"> 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="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> <br/>  for <font color="Olive" title="b2">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">T</font>  st <font color="Olive" title="b1">T</font> is  <a href="orders_2.html#V3" title="ORDERS_2:attr.3">filled</a>  holds <br/> for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds   <a href="fintopo3.html#K3" title="FINTOPO3:func.3">Fcl</a> (<font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">n</font>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="fintopo3.html#K3" title="FINTOPO3:func.3">Fcl</a> (<font color="Olive" title="b2">A</font>,<span class="p1">(<span class="default"><font color="Olive" title="b3">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>)</div></div>
