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<div><span class="kw">theorem </span><a NAME="T50"><span class="comment"><font color="firebrick">:: FSM_1:50</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">IAlph</font>, <font color="Olive" title="b2">OAlph</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="b3">tfsm</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>   <a href="fsm_1.html#L2" title="FSM_1:struct.2">Mealy-FSM</a> over <font color="Olive" title="b1">IAlph</font>,<font color="Olive" title="b2">OAlph</font><br/>  for <font color="Olive" title="b4">cTran</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="fsm_1.html#K12" title="FSM_1:func.12">accessibleStates</a> <font color="Olive" title="b3">tfsm</font></span>)</span>,<font color="Olive" title="b1">IAlph</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<span class="p1">(<span class="default"><a href="fsm_1.html#K12" title="FSM_1:func.12">accessibleStates</a> <font color="Olive" title="b3">tfsm</font></span>)</span><br/>  for <font color="Olive" title="b5">cOFun</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="fsm_1.html#K12" title="FSM_1:func.12">accessibleStates</a> <font color="Olive" title="b3">tfsm</font></span>)</span>,<font color="Olive" title="b1">IAlph</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<font color="Olive" title="b2">OAlph</font><br/>  for <font color="Olive" title="b6">cInitS</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="fsm_1.html#K12" title="FSM_1:func.12">accessibleStates</a> <font color="Olive" title="b3">tfsm</font>  st <font color="Olive" title="b4">cTran</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="fsm_1.html#U1" title="FSM_1:sel.1">Tran</a> of <font color="Olive" title="b3">tfsm</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="fsm_1.html#K12" title="FSM_1:func.12">accessibleStates</a> <font color="Olive" title="b3">tfsm</font></span>)</span>,<font color="Olive" title="b1">IAlph</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> &amp; <font color="Olive" title="b5">cOFun</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="fsm_1.html#U3" title="FSM_1:sel.3">OFun</a> of <font color="Olive" title="b3">tfsm</font> <a href="partfun1.html#K2" title="PARTFUN1:func.2">|</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="fsm_1.html#K12" title="FSM_1:func.12">accessibleStates</a> <font color="Olive" title="b3">tfsm</font></span>)</span>,<font color="Olive" title="b1">IAlph</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> &amp; <font color="Olive" title="b6">cInitS</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="fsm_1.html#U2" title="FSM_1:sel.2">InitS</a> of <font color="Olive" title="b3">tfsm</font> holds <br/><font color="Olive" title="b3">tfsm</font>, <a href="fsm_1.html#G2" title="FSM_1:aggr.2">Mealy-FSM</a>(# <span class="p1">(<span class="default"><a href="fsm_1.html#K12" title="FSM_1:func.12">accessibleStates</a> <font color="Olive" title="b3">tfsm</font></span>)</span>,<font color="Olive" title="b4">cTran</font>,<font color="Olive" title="b5">cOFun</font>,<font color="Olive" title="b6">cInitS</font> #) <a href="fsm_1.html#R4" title="FSM_1:pred.4">-are_equivalent</a> </div></div>
