<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T5"><span class="comment"><font color="firebrick">:: FOMODEL3:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">U1</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <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">R</font> being   <a href="eqrel_1.html#NM2" title="EQREL_1:NM.2">Equivalence_Relation</a> of <font color="Olive" title="b1">U1</font><br/>  for <font color="Olive" title="b4">phi</font> being   <a href="fomodel1.html#V15" title="FOMODEL1:attr.15">0wff</a>  <a href="fomodel1.html#NM3" title="FOMODEL1:NM.3">string</a> of <font color="Olive" title="b2">S</font><br/>  for <font color="Olive" title="b5">i</font> being  <font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font> <a href="fomodel2.html#V1" title="FOMODEL2:attr.1">-interpreter-like</a>  <font color="Olive">b<sub>3</sub></font> <a href="fomodel3.html#V3" title="FOMODEL3:attr.3">-respecting</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>  st <span class="p1">(<span class="default"><font color="Olive" title="b2">S</font> <a href="fomodel1.html#K22" title="FOMODEL1:func.22">-firstChar</a></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">phi</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="fomodel2.html#K31" title="FOMODEL2:func.31">TheEqSymbOf</a> <font color="Olive" title="b2">S</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b5">i</font> <a href="fomodel3.html#K23" title="FOMODEL3:func.23">quotient</a> <font color="Olive" title="b3">R</font></span>)</span> <a href="fomodel2.html#K13" title="FOMODEL2:func.13">-AtomicEval</a> <font color="Olive" title="b4">phi</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">i</font> <a href="fomodel2.html#K13" title="FOMODEL2:func.13">-AtomicEval</a> <font color="Olive" title="b4">phi</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="fomodel3.html#E46"><span class="lab"><font color="Green" title="E38">Lm26</font></span></a></span>;<br/></div></div>
