:: deftheorem defines -are_isomorphic FSM_1:def 19 :
for IAlph, OAlph being non empty set
for tfsm1, tfsm2 being non empty Mealy-FSM over IAlph,OAlph holds
( tfsm1,tfsm2 -are_isomorphic iff ex Tf being Function of the carrier of tfsm1, the carrier of tfsm2 st
( Tf is bijective & Tf . the InitS of tfsm1 = the InitS of tfsm2 & ( for q11 being State of tfsm1
for s being Element of IAlph holds
( Tf . ( the Tran of tfsm1 . (q11,s)) = the Tran of tfsm2 . ((Tf . q11),s) & the OFun of tfsm1 . (q11,s) = the OFun of tfsm2 . ((Tf . q11),s) ) ) ) );