<?xml version="1.0"?>
<div class="add">

<b>set </b><font color="Maroon">m</font> = <font color="Maroon">tfsm</font>;<br/>
<b>set </b><font color="Maroon">AS</font> = <span class="p1">{<span class="default"> <font color="Olive">q</font> where <font color="Olive">q</font> is   <a href="fsm_1.html#NM1">State</a> of <font color="Maroon">tfsm</font> : <font color="Olive">q</font> is <a href="fsm_1.html#V6" target="_self">accessible</a> </span>}</span> ;<br/>
<a NAME="E1:97_1_1"/><i><font color="Green">E22</font></i>: 
<span class="p1">{<span class="default"> <font color="Olive">q</font> where <font color="Olive">q</font> is   <a href="fsm_1.html#NM1">State</a> of <font color="Maroon">tfsm</font> : <font color="Olive">q</font> is <a href="fsm_1.html#V6" target="_self">accessible</a> </span>}</span>  <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">tfsm</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="97_1_1_1"><b>proof </b></a><div class="add">

<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="E1:97_1_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <font color="Olive">q</font> where <font color="Olive">q</font> is   <a href="fsm_1.html#NM1">State</a> of <font color="Maroon">tfsm</font> : <font color="Olive">q</font> is <a href="fsm_1.html#V6" target="_self">accessible</a> </span>}</span> 
 ;<br/>

<a NAME="E2:97_1_1_1"/><b>then </b>
 ex <font color="Olive">q</font> being  <a href="fsm_1.html#NM1">State</a> of <font color="Maroon">tfsm</font> st <br/>( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Olive">q</font> &amp; <font color="Olive">q</font> is <a href="fsm_1.html#V6" target="_self">accessible</a> )
 
;<br/>
<b>hence </b><a NAME="E3:97_1_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">tfsm</font>
 ;<br/>


</div><b>end;</b></div>
<a NAME="E2:97_1_1"/>
the <a href="fsm_1.html#U2" target="_self">InitS</a> of <font color="Maroon">tfsm</font>, <a href="finseq_1.html#K6">&lt;*&gt;</a> <font color="Maroon">IAlph</font> <a href="fsm_1.html#R1" target="_self">-leads_to</a> the <a href="fsm_1.html#U2" target="_self">InitS</a> of <font color="Maroon">tfsm</font>
 
<b>by </b><i/>;<br/>
<a NAME="E3:97_1_1"/><b>then </b>
the <a href="fsm_1.html#U2" target="_self">InitS</a> of <font color="Maroon">tfsm</font> is <a href="fsm_1.html#V6" target="_self">accessible</a>
 
<b>by </b><i/>;<br/>
<a NAME="E4:97_1_1"/><b>then </b>
the <a href="fsm_1.html#U2" target="_self">InitS</a> of <font color="Maroon">tfsm</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <font color="Olive">q</font> where <font color="Olive">q</font> is   <a href="fsm_1.html#NM1">State</a> of <font color="Maroon">tfsm</font> : <font color="Olive">q</font> is <a href="fsm_1.html#V6" target="_self">accessible</a> </span>}</span> 
 
;<br/>
<b>hence </b><a NAME="E5:97_1_1"/>
(  <a href="fsm_1.html#K12" target="_self">accessibleStates</a> <font color="Maroon">tfsm</font> is <a href="finset_1.html#V1">finite</a> &amp; not  <a href="fsm_1.html#K12" target="_self">accessibleStates</a> <font color="Maroon">tfsm</font> is <a href="xboole_0.html#V1">empty</a> )
 <b>by </b><i><a class="ref" href="fsm_1.html#T14" target="_self">Th14</a>, <a class="ref" href="finset_1.html#T13">FINSET_1:13</a></i>;<br/>


</div>
