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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">tfsm1</font>, <font color="Maroon" title="c4">tfsm2</font>, <font color="Maroon" title="c5">tfsm3</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>assume </b><a NAME="E1:43"/><i><font color="Green" title="E28">A1</font></i>: 
( <font color="Maroon" title="c3">tfsm1</font>,<font color="Maroon" title="c4">tfsm2</font> <a href="fsm_1.html#R4" title="FSM_1:pred.4">-are_equivalent</a>  &amp; <font color="Maroon" title="c4">tfsm2</font>,<font color="Maroon" title="c5">tfsm3</font> <a href="fsm_1.html#R4" title="FSM_1:pred.4">-are_equivalent</a>  )
 ;<br/>

<b>set </b><font color="Maroon" title="c6">IS1</font> = the <a href="fsm_1.html#U2" title="FSM_1:sel.2">InitS</a> of <font color="Maroon" title="c3">tfsm1</font>;<br/>
<b>set </b><font color="Maroon" title="c7">IS2</font> = the <a href="fsm_1.html#U2" title="FSM_1:sel.2">InitS</a> of <font color="Maroon" title="c4">tfsm2</font>;<br/>
<b>set </b><font color="Maroon" title="c8">IS3</font> = the <a href="fsm_1.html#U2" title="FSM_1:sel.2">InitS</a> of <font color="Maroon" title="c5">tfsm3</font>;<br/>
<b>let </b><font color="Maroon" title="c9">w1</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#D9" target="_self" title="FSM_1:def.9">FSM_1:def 9</a><br/>

<b>thus </b>the <a href="fsm_1.html#U2" title="FSM_1:sel.2">InitS</a> of <font color="Maroon" title="c3">tfsm1</font>,<font color="Maroon" title="c9">w1</font> <a href="fsm_1.html#K4" title="FSM_1:func.4">-response</a>  = 
the <a href="fsm_1.html#U2" title="FSM_1:sel.2">InitS</a> of <font color="Maroon" title="c4">tfsm2</font>,<font color="Maroon" title="c9">w1</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#E1:43"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="fsm_1.html#D9" target="_self" title="FSM_1:def.9">Def9</a></i>
<br/>.= 
the <a href="fsm_1.html#U2" title="FSM_1:sel.2">InitS</a> of <font color="Maroon" title="c5">tfsm3</font>,<font color="Maroon" title="c9">w1</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#E1:43"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="fsm_1.html#D9" target="_self" title="FSM_1:def.9">Def9</a></i>
;<br/>


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