Задача по Алгебре "ФНА (фейк, нефейк, антифейк)"

[powerforpeople]

Fake X Fake = Fake

Fake X NonFake = Fake                              NonFake X Fake = Fake

Fake X AntiFake = NonFake                        AntiFake X Fake = NonFake

NonFake X NonFake = NonFake

NonFake X AntiFake = Fake                       AntiFake X NonFake = AntiFake

AntiFake X AntiFake = ?