Translate the following inference to logic notation: There is at least one x for which if x_8 plays tennis, then x_8 is a lawyer. For all x, x_8 is a mechanic if and only if x_8 will play tennis. For all x, if x_8 were a lawyer, then x_8 is a mechanic. Therefore there is at least one x for which x_8 will play tennis if and only if x_8 is a mechanic.
exists x: P(x) -> Q(x). forall x: R(x) <-> P(x). forall x: Q(x) -> R(x). Therefore exists x: P(x) <-> R(x).