<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T18"><span class="comment"><font color="firebrick">:: FOMODEL1:18</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">S2</font> being   <a href="fomodel1.html#NM2" title="FOMODEL1:NM.2">Language</a>  st <font color="Olive" title="b1">X</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p1">(<span class="default"><a href="fomodel1.html#K16" title="FOMODEL1:func.16">LettersOf</a> <font color="Olive" title="b2">S2</font></span>)</span> is  <a href="finset_1.html#NV2" title="FINSET_1:NV.2">infinite</a>  holds <br/> ex <font color="Olive" title="b3">S1</font> being   <a href="fomodel1.html#NM2" title="FOMODEL1:NM.2">Language</a> st <br/>(  <a href="fomodel1.html#K37" title="FOMODEL1:func.37">OwnSymbolsOf</a> <font color="Olive" title="b3">S1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">X</font> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <span class="p1">(<span class="default"><a href="fomodel1.html#K37" title="FOMODEL1:func.37">OwnSymbolsOf</a> <font color="Olive" title="b2">S2</font></span>)</span> &amp; <font color="Olive" title="b2">S2</font> is <font color="Olive" title="b3">S1</font> <a href="fomodel1.html#V16" title="FOMODEL1:attr.16">-extending</a>  )</div></div>
