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<b>let </b><font color="Maroon">T</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="orders_2.html#L1">RelStr</a> ;<br/><b>let </b><font color="Maroon">A</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">T</font>;<br/>



<b>assume </b><a NAME="E1:40"/><i><font color="Green">E24</font></i>: 
<font color="Maroon">T</font> is <a href="fin_topo.html#V1">filled</a>
 ;<br/>

<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>

<i><font color="Green">E25</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="fintopo3.html#K6" target="_self">Finf</a> <font color="Maroon">A</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">n</font></span>)</span> <a href="fin_topo.html#K12">^f</a>  = 
<span class="p1">(<span class="default"><a href="fintopo3.html#K7" target="_self">Finf</a> <font color="Maroon">A</font>,<font color="Maroon">n</font></span>)</span> <a href="fin_topo.html#K12">^f</a> 

<br/>.= 
 <a href="fintopo3.html#K7" target="_self">Finf</a> <font color="Maroon">A</font>,<span class="p1">(<span class="default"><font color="Maroon">n</font> <a href="nat_1.html#K1">+</a> 1</span>)</span>
<b>by </b><i><a class="ref" href="fintopo3.html#T1" target="_self">Th1</a></i>
;<br/>
<b>thus </b><a NAME="E3:40"/>
 <a href="fintopo3.html#K7" target="_self">Finf</a> <font color="Maroon">A</font>,<font color="Maroon">n</font> <a href="tarski.html#R1">c=</a>  <a href="fintopo3.html#K7" target="_self">Finf</a> <font color="Maroon">A</font>,<span class="p1">(<span class="default"><font color="Maroon">n</font> <a href="nat_1.html#K1">+</a> 1</span>)</span>
 <b>by </b><i><a class="ref" href="fintopo3.html#T2" target="_self">Th2</a>, <a class="ref" href="fintopo3.html#T3" target="_self">Th3</a>, </i>;<br/>


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