<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="fomodel4.html#R7" title="FOMODEL4:pred.7">Rule3e</a> <a onclick="hs(this)" href="javascript:()">FOMODEL4:def 27 : <br/></a><span> for <font color="Olive" title="b1">Seqts</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">S</font> being   <a href="fomodel1.html#NM2" title="FOMODEL1:NM.2">Language</a><br/>  for <font color="Olive" title="b3">seqt</font> being  <font color="Olive">b<sub>2</sub></font> <a href="fomodel4.html#V12" title="FOMODEL4:attr.12">-null</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b3">seqt</font> <a href="fomodel4.html#R7" title="FOMODEL4:pred.7">Rule3e</a> <font color="Olive" title="b1">Seqts</font> iff  ex <font color="Olive" title="b4">s</font> being   <a href="fomodel1.html#V7" title="FOMODEL1:attr.7">relational</a>  <a href="fomodel1.html#NM1" title="FOMODEL1:NM.1">Element</a> of <font color="Olive" title="b2">S</font> ex <font color="Olive" title="b5">T</font>, <font color="Olive" title="b6">U</font> being  <span class="p1"><a href="int_2.html#K1" title="INT_2:func.1">|.</a><span class="default"><span class="p2">(<span class="default"><a href="fomodel1.html#K19" title="FOMODEL1:func.19">ar</a> <font color="Olive">b<sub>4</sub></font></span>)</span></span><a href="int_2.html#K1" title="INT_2:func.1">.|</a></span> <a href="card_1.html#V3" title="CARD_1:attr.3">-element</a>   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of <span class="p1">(<span class="default"><a href="fomodel1.html#K35" title="FOMODEL1:func.35">AllTermsOf</a> <font color="Olive" title="b2">S</font></span>)</span> <a href="fomodel0.html#K3" title="FOMODEL0:func.3">*</a>  st <br/>( <font color="Olive" title="b3">seqt</font> <a href="xfamily.html#K1" title="XFAMILY:func.1">`1</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b4">s</font> <a href="fomodel3.html#K1" title="FOMODEL3:func.1">-compound</a> <font color="Olive" title="b5">T</font></span>)</span></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4"><a href="fomodel1.html#K43" title="FOMODEL1:func.43">&lt;*</a><span class="default"><span class="p5">(<span class="default"><a href="fomodel2.html#K31" title="FOMODEL2:func.31">TheEqSymbOf</a> <font color="Olive" title="b2">S</font></span>)</span></span><a href="fomodel1.html#K43" title="FOMODEL1:func.43">*&gt;</a></span> <a href="fomodel1.html#K42" title="FOMODEL1:func.42">^</a> <span class="p4">(<span class="default"><font color="Olive" title="b8">TT</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b7">j</font></span>)</span></span>)</span> <a href="fomodel1.html#K42" title="FOMODEL1:func.42">^</a> <span class="p3">(<span class="default"><font color="Olive" title="b9">UU</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b7">j</font></span>)</span></span>)</span> where <font color="Olive" title="b7">j</font> is    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <span class="p1"><a href="int_2.html#K1" title="INT_2:func.1">|.</a><span class="default"><span class="p2">(<span class="default"><a href="fomodel1.html#K19" title="FOMODEL1:func.19">ar</a> <font color="Olive" title="b4">s</font></span>)</span></span><a href="int_2.html#K1" title="INT_2:func.1">.|</a></span>, <font color="Olive" title="b8">TT</font>, <font color="Olive" title="b9">UU</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <span class="p2"><a href="int_2.html#K1" title="INT_2:func.1">|.</a><span class="default"><span class="p3">(<span class="default"><a href="fomodel1.html#K19" title="FOMODEL1:func.19">ar</a> <font color="Olive" title="b4">s</font></span>)</span></span><a href="int_2.html#K1" title="INT_2:func.1">.|</a></span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="fomodel1.html#K1" title="FOMODEL1:func.1">AllSymbolsOf</a> <font color="Olive" title="b2">S</font></span>)</span> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a></span>)</span> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></span>)</span> : ( <font color="Olive" title="b8">TT</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">T</font> &amp; <font color="Olive" title="b9">UU</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">U</font> ) </span> } </span>  &amp; <font color="Olive" title="b3">seqt</font> <a href="xfamily.html#K2" title="XFAMILY:func.2">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">s</font> <a href="fomodel3.html#K1" title="FOMODEL3:func.1">-compound</a> <font color="Olive" title="b6">U</font> ) );<br/></span></div>
