!(<>[](noLeader U zeroLeads))
!(<>[](noLeader U threeLeads))
!(<>zeroLeads)
!([]<>zeroLeads)
!(<>threeLeads)
!([](noLeader -> <>zeroLeads))
!([](noLeader || zeroLeads))
!((<>[](noLeader || zeroLeads || oneLeads || twoLeads)) && (<>[]((zeroLeads -> (zeroLeads U (noLeader U oneLeads))))) && (<>[]((oneLeads -> (oneLeads U (noLeader U twoLeads))))) && (<>[]((twoLeads -> (twoLeads U (noLeader U zeroLeads))))))
!((<>[](noLeader || zeroLeads || oneLeads || twoLeads)) && (<>[]((zeroLeads -> (zeroLeads U (noLeader U twoLeads))))) && (<>[]((oneLeads -> (oneLeads U (noLeader U zeroLeads))))) && (<>[]((twoLeads -> (twoLeads U (noLeader U oneLeads))))))