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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E35">Def16</font></span>   defines <a href="fsm_1.html#K9" title="FSM_1:func.9">-succ_class</a> <a onclick="hs(this)" href="javascript:()">FSM_1:def 16 : <br/></a><span> 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">qf</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="fsm_1.html#K8" title="FSM_1:func.8">final_states_partition</a> <font color="Olive" title="b3">tfsm</font><br/>  for <font color="Olive" title="b5">s</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">IAlph</font><br/>  for <font color="Olive">b<sub>6</sub></font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="fsm_1.html#K8" title="FSM_1:func.8">final_states_partition</a> <font color="Olive" title="b3">tfsm</font> holds <br/> ( <font color="Olive">b<sub>6</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Olive" title="b5">s</font>,<font color="Olive" title="b4">qf</font>) <a href="fsm_1.html#K9" title="FSM_1:func.9">-succ_class</a>  iff  ex <font color="Olive" title="b7">q</font> being   <a href="fsm_1.html#NM1" title="FSM_1:NM.1">State</a> of <font color="Olive" title="b3">tfsm</font> ex <font color="Olive" title="b8">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <br/>( <font color="Olive" title="b7">q</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">qf</font> &amp; <font color="Olive" title="b8">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_1.html#K4" title="CARD_1:func.4">card</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b3">tfsm</font> &amp; <font color="Olive">b<sub>6</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<span class="p1">(<span class="default"><font color="Olive" title="b8">n</font> <a href="fsm_1.html#K6" title="FSM_1:func.6">-eq_states_EqR</a> <font color="Olive" title="b3">tfsm</font></span>)</span>,<span class="p1">(<span class="default"> the <a href="fsm_1.html#U1" title="FSM_1:sel.1">Tran</a> of <font color="Olive" title="b3">tfsm</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p2"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default"><font color="Olive" title="b7">q</font>,<font color="Olive" title="b5">s</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span></span>)</span>) ) );<br/></span></div>
