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<b>let </b><font color="Maroon" title="c1">IAlph</font>, <font color="Maroon" title="c2">OAlph</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c3">tfsm</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="fsm_1.html#L2" title="FSM_1:struct.2">Mealy-FSM</a> of <font color="Maroon" title="c1">IAlph</font>,<font color="Maroon" title="c2">OAlph</font>;<br/><b>let </b><font color="Maroon" title="c4">qa</font>, <font color="Maroon" title="c5">qb</font> be   <a href="fsm_1.html#NM1" title="FSM_1:NM.1">State</a> of <font color="Maroon" title="c3">tfsm</font>;<br/><b>let </b><font color="Maroon" title="c6">k</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>;<br/>











<b>assume </b><a NAME="E1:52"/><i><font color="Green" title="E35">A1</font></i>: 
<font color="Maroon" title="c6">k</font> <a href="fsm_1.html#R6" title="FSM_1:pred.6">-equivalent</a> <font color="Maroon" title="c4">qa</font>,<font color="Maroon" title="c5">qb</font>
 ;<br/>

<b>thus </b><a NAME="E2:52"/>
<font color="Maroon" title="c6">k</font> <a href="fsm_1.html#R6" title="FSM_1:pred.6">-equivalent</a> <font color="Maroon" title="c5">qb</font>,<font color="Maroon" title="c4">qa</font>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="52_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon" title="c7">w</font> be    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Maroon" title="c1">IAlph</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="fsm_1.html#D11" target="_self" title="FSM_1:def.11">FSM_1:def 11</a><br/>

<b>assume </b><a NAME="E1:52_1"/>
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c7">w</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c6">k</font>
 ;<br/>

<b>hence </b><a NAME="E2:52_1"/>
<font color="Maroon" title="c5">qb</font>,<font color="Maroon" title="c7">w</font> <a href="fsm_1.html#K4" title="FSM_1:func.4">-response</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">qa</font>,<font color="Maroon" title="c7">w</font> <a href="fsm_1.html#K4" title="FSM_1:func.4">-response</a> 
 <b>by </b><i><a class="txt" href="fsm_1.html#E1:52"><i><font color="Green" title="E35">A1</font></i></a>, <a class="ref" href="fsm_1.html#D11" target="_self" title="FSM_1:def.11">Def11</a></i>;<br/>


</div><b>end;</b></div>


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