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Cases[Tuples[{True, False}, 2], {a_, b_} /; Equivalent[a, b] && Equivalent[b, Xor[a, b]]] (*{{False, False}}*) FindInstance[Equivalent[a, b] && Equivalent[b, Xor[a, b]], {a, b}, Booleans] (*{{a -> False, b -> False}}*)



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