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<div class="add">

<b>let </b><font color="Maroon">OAlph</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">IAlph</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">tfsm</font> be  non <a href="struct_0.html#V3">empty</a> <a href="group_1.html#V6">finite</a>  <a href="fsm_1.html#L2" target="_self">Mealy-FSM</a> of <font color="Maroon">IAlph</font>,<font color="Maroon">OAlph</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="E1:98"/>
<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="98_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="E1:98_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/>

<b>then consider </b><font color="Maroon">q</font> being   <a href="fsm_1.html#NM1">State</a> of <font color="Maroon">tfsm</font><b> such that </b><br/><a NAME="E3:98_1"/><i><font color="Green">E22</font></i>: 
( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">q</font> &amp; <font color="Maroon">q</font> is <a href="fsm_1.html#V6" target="_self">accessible</a> )
 ;<br/>
<b>thus </b><a NAME="E4:98_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>
 <b>by </b><i/>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:98"/>
 <a href="fsm_1.html#K12" target="_self">accessibleStates</a> <font color="Maroon">tfsm</font> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">tfsm</font>
 ;<br/>

<b>let </b><font color="Maroon">q</font> be   <a href="fsm_1.html#NM1">State</a> of <font color="Maroon">tfsm</font>;<br/>

<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:98_2"/>
<font color="Maroon">q</font> <a href="hidden.html#R2">in</a>  <a href="fsm_1.html#K12" target="_self">accessibleStates</a> <font color="Maroon">tfsm</font>
 ;<br/><b>then consider </b><font color="Maroon">q'</font> being   <a href="fsm_1.html#NM1">State</a> of <font color="Maroon">tfsm</font><b> such that </b><br/><a NAME="E3:98_2"/><i><font color="Green">E23</font></i>: 
( <font color="Maroon">q'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">q</font> &amp; <font color="Maroon">q'</font> is <a href="fsm_1.html#V6" target="_self">accessible</a> )
 ;<br/><b>thus </b><a NAME="E4:98_2"/>
<font color="Maroon">q</font> is <a href="fsm_1.html#V6" target="_self">accessible</a>
 <b>by </b><i/>;<br/></div>
<b>end;</b></div>

<b>thus </b><a NAME="E4:98"/>
( <font color="Maroon">q</font> is <a href="fsm_1.html#V6" target="_self">accessible</a> implies <font color="Maroon">q</font> <a href="hidden.html#R2">in</a>  <a href="fsm_1.html#K12" target="_self">accessibleStates</a> <font color="Maroon">tfsm</font> )
 ;<br/>


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