<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="modelc_3.html#R9" title="MODELC_3:pred.9">is-accepted-by</a> <a onclick="hs(this)" href="javascript:()">MODELC_3:def 39 : <br/></a><span> for <font color="Olive" title="b1">W</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">B</font> being    <a href="modelc_3.html#L2" title="MODELC_3:struct.2">BuchiAutomaton</a> over <font color="Olive" title="b1">W</font><br/>  for <font color="Olive" title="b3">w</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="modelc_2.html#K25" title="MODELC_2:func.25">Inf_seq</a> <font color="Olive" title="b1">W</font> holds <br/> ( <font color="Olive" title="b3">w</font> <a href="modelc_3.html#R9" title="MODELC_3:pred.9">is-accepted-by</a> <font color="Olive" title="b2">B</font> iff  ex <font color="Olive" title="b4">run</font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">sequence</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">B</font> st <br/>( <font color="Olive" title="b4">run</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="modelc_3.html#U5" title="MODELC_3:sel.5">InitS</a> of <font color="Olive" title="b2">B</font> &amp; (  for <font color="Olive" title="b5">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> ( <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b4">run</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b5">i</font></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="modelc_2.html#K27" title="MODELC_2:func.27">CastSeq</a> (<font color="Olive" title="b3">w</font>,<font color="Olive" title="b1">W</font>)</span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b5">i</font></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p2">(<span class="default"><font color="Olive" title="b4">run</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <span class="p3">(<span class="default"><font color="Olive" title="b5">i</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  the <a href="modelc_3.html#U4" title="MODELC_3:sel.4">Tran</a> of <font color="Olive" title="b2">B</font> &amp; (  for <font color="Olive" title="b6">FSet</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b6">FSet</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="modelc_3.html#U6" title="MODELC_3:sel.6">FinalS</a> of <font color="Olive" title="b2">B</font> holds <br/><span class="p1"> { <span class="default"> <font color="Olive" title="b7">k</font> where <font color="Olive" title="b7">k</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>  : <font color="Olive" title="b4">run</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b7">k</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b6">FSet</font> </span> } </span>  is   <a href="finset_1.html#NV2" title="FINSET_1:NV.2">infinite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  ) ) ) ) );<br/></span></div>
