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<b>let </b><font color="Maroon" title="c1">T</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a>  <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a> ;<br/><b>let </b><font color="Maroon" title="c2">A</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">T</font>;<br/>



<b>assume </b><a NAME="E1:27"/><i><font color="Green" title="E19">A1</font></i>: 
<font color="Maroon" title="c1">T</font> is <a href="fin_topo.html#V1" title="FIN_TOPO:attr.1">filled</a>
 ;<br/>

<b>let </b><font color="Maroon" title="c3">n</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/>

<i><font color="Green" title="E20">A2</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="fintopo3.html#K4" title="FINTOPO3:func.4">Fint</a> <font color="Maroon" title="c2">A</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c3">n</font></span>)</span> <a href="fin_topo.html#K8" title="FIN_TOPO:func.8">^i</a>  = 
<span class="p1">(<span class="default"><a href="fintopo3.html#K5" title="FINTOPO3:func.5">Fint</a> <font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">n</font></span>)</span> <a href="fin_topo.html#K8" title="FIN_TOPO:func.8">^i</a> 

<br/>.= 
 <a href="fintopo3.html#K5" title="FINTOPO3:func.5">Fint</a> <font color="Maroon" title="c2">A</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>
<b>by </b><i><a class="ref" href="fintopo3.html#T18" target="_self" title="FINTOPO3:th.18">Th18</a></i>
;<br/>
<b>thus </b><a NAME="E3:27"/>
 <a href="fintopo3.html#K5" title="FINTOPO3:func.5">Fint</a> <font color="Maroon" title="c2">A</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c3">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="fintopo3.html#K5" title="FINTOPO3:func.5">Fint</a> <font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">n</font>
 <b>by </b><i><a class="txt" href="fintopo3.html#E1:27"><i><font color="Green" title="E19">A1</font></i></a>, <a class="txt" href="fintopo3.html#E2:27"><i><font color="Green" title="E20">A2</font></i></a>, <a class="ref" href="fin_topo.html#T28" title="FIN_TOPO:th.28">FIN_TOPO:28</a></i>;<br/>


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