consider X being non empty finite set , T being Function of [:X,IAlph:],X, O being Function of [:X,IAlph:],OAlph, I being Element of X;
take
Mealy-FSM(# X,T,O,I #)
; ( Mealy-FSM(# X,T,O,I #) is finite & not Mealy-FSM(# X,T,O,I #) is empty )
thus
( Mealy-FSM(# X,T,O,I #) is finite & not Mealy-FSM(# X,T,O,I #) is empty )
; verum