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<b>let </b><font color="Maroon">X</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">Si</font> be   <a href="prob_1.html#NM3">SigmaField</a> of <font color="Maroon">X</font>;<br/><b>let </b><font color="Maroon">S</font> be    <a href="prob_1.html#M1">SetSequence</a> of <font color="Maroon">Si</font>;<br/><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>







<b>assume </b><a NAME="E1:87"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="prob_1.html#K4">Intersection</a> <font color="Maroon">S</font>
 ;<br/>

<a NAME="E2:87"/><b>then </b>
for <font color="Olive">k</font> being   <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds  <font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">S</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default">0 <a href="nat_1.html#K1">+</a> <font color="Olive">k</font></span>)</span>
 
<b>by </b><i><a class="ref" href="prob_1.html#T29">PROB_1:29</a></i>;<br/>
<b>hence </b><a NAME="E3:87"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="setlim_1.html#K6" target="_self">lim_inf</a> <font color="Maroon">S</font>
 <b>by </b><i><a class="ref" href="setlim_1.html#T16" target="_self">Th16</a></i>;<br/>


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